Identifier
Mp00159:
Permutations
—Demazure product with inverse⟶
Permutations
Mp00064: Permutations —reverse⟶ Permutations
Mp00072: Permutations —binary search tree: left to right⟶ Binary trees
Mp00064: Permutations —reverse⟶ 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]=>[2,3,1]=>[[.,.],[.,.]]
[2,1,3]=>[2,1,3]=>[3,1,2]=>[[.,[.,.]],.]
[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]=>[3,4,2,1]=>[[[.,.],.],[.,.]]
[1,3,2,4]=>[1,3,2,4]=>[4,2,3,1]=>[[[.,.],[.,.]],.]
[1,3,4,2]=>[1,4,3,2]=>[2,3,4,1]=>[[.,.],[.,[.,.]]]
[1,4,2,3]=>[1,4,3,2]=>[2,3,4,1]=>[[.,.],[.,[.,.]]]
[1,4,3,2]=>[1,4,3,2]=>[2,3,4,1]=>[[.,.],[.,[.,.]]]
[2,1,3,4]=>[2,1,3,4]=>[4,3,1,2]=>[[[.,[.,.]],.],.]
[2,1,4,3]=>[2,1,4,3]=>[3,4,1,2]=>[[.,[.,.]],[.,.]]
[2,3,1,4]=>[3,2,1,4]=>[4,1,2,3]=>[[.,[.,[.,.]]],.]
[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]=>[4,1,2,3]=>[[.,[.,[.,.]]],.]
[3,1,4,2]=>[4,2,3,1]=>[1,3,2,4]=>[.,[[.,.],[.,.]]]
[3,2,1,4]=>[3,2,1,4]=>[4,1,2,3]=>[[.,[.,[.,.]]],.]
[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]=>[4,5,3,2,1]=>[[[[.,.],.],.],[.,.]]
[1,2,4,3,5]=>[1,2,4,3,5]=>[5,3,4,2,1]=>[[[[.,.],.],[.,.]],.]
[1,2,4,5,3]=>[1,2,5,4,3]=>[3,4,5,2,1]=>[[[.,.],.],[.,[.,.]]]
[1,2,5,3,4]=>[1,2,5,4,3]=>[3,4,5,2,1]=>[[[.,.],.],[.,[.,.]]]
[1,2,5,4,3]=>[1,2,5,4,3]=>[3,4,5,2,1]=>[[[.,.],.],[.,[.,.]]]
[1,3,2,4,5]=>[1,3,2,4,5]=>[5,4,2,3,1]=>[[[[.,.],[.,.]],.],.]
[1,3,2,5,4]=>[1,3,2,5,4]=>[4,5,2,3,1]=>[[[.,.],[.,.]],[.,.]]
[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]=>[2,4,3,5,1]=>[[.,.],[[.,.],[.,.]]]
[1,3,5,2,4]=>[1,4,5,2,3]=>[3,2,5,4,1]=>[[[.,.],.],[[.,.],.]]
[1,3,5,4,2]=>[1,5,4,3,2]=>[2,3,4,5,1]=>[[.,.],[.,[.,[.,.]]]]
[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]=>[2,4,3,5,1]=>[[.,.],[[.,.],[.,.]]]
[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]=>[2,4,3,5,1]=>[[.,.],[[.,.],[.,.]]]
[1,4,5,2,3]=>[1,5,4,3,2]=>[2,3,4,5,1]=>[[.,.],[.,[.,[.,.]]]]
[1,4,5,3,2]=>[1,5,4,3,2]=>[2,3,4,5,1]=>[[.,.],[.,[.,[.,.]]]]
[1,5,2,3,4]=>[1,5,3,4,2]=>[2,4,3,5,1]=>[[.,.],[[.,.],[.,.]]]
[1,5,2,4,3]=>[1,5,3,4,2]=>[2,4,3,5,1]=>[[.,.],[[.,.],[.,.]]]
[1,5,3,2,4]=>[1,5,4,3,2]=>[2,3,4,5,1]=>[[.,.],[.,[.,[.,.]]]]
[1,5,3,4,2]=>[1,5,4,3,2]=>[2,3,4,5,1]=>[[.,.],[.,[.,[.,.]]]]
[1,5,4,2,3]=>[1,5,4,3,2]=>[2,3,4,5,1]=>[[.,.],[.,[.,[.,.]]]]
[1,5,4,3,2]=>[1,5,4,3,2]=>[2,3,4,5,1]=>[[.,.],[.,[.,[.,.]]]]
[2,1,3,4,5]=>[2,1,3,4,5]=>[5,4,3,1,2]=>[[[[.,[.,.]],.],.],.]
[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]=>[5,3,4,1,2]=>[[[.,[.,.]],[.,.]],.]
[2,1,4,5,3]=>[2,1,5,4,3]=>[3,4,5,1,2]=>[[.,[.,.]],[.,[.,.]]]
[2,1,5,3,4]=>[2,1,5,4,3]=>[3,4,5,1,2]=>[[.,[.,.]],[.,[.,.]]]
[2,1,5,4,3]=>[2,1,5,4,3]=>[3,4,5,1,2]=>[[.,[.,.]],[.,[.,.]]]
[2,3,1,4,5]=>[3,2,1,4,5]=>[5,4,1,2,3]=>[[[.,[.,[.,.]]],.],.]
[2,3,1,5,4]=>[3,2,1,5,4]=>[4,5,1,2,3]=>[[.,[.,[.,.]]],[.,.]]
[2,3,4,1,5]=>[4,2,3,1,5]=>[5,1,3,2,4]=>[[.,[[.,.],[.,.]]],.]
[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]=>[3,1,5,2,4]=>[[.,[.,.]],[[.,.],.]]
[2,3,5,4,1]=>[5,2,4,3,1]=>[1,3,4,2,5]=>[.,[[.,.],[.,[.,.]]]]
[2,4,1,3,5]=>[3,4,1,2,5]=>[5,2,1,4,3]=>[[[.,.],[[.,.],.]],.]
[2,4,1,5,3]=>[3,5,1,4,2]=>[2,4,1,5,3]=>[[.,.],[[.,.],[.,.]]]
[2,4,3,1,5]=>[4,3,2,1,5]=>[5,1,2,3,4]=>[[.,[.,[.,[.,.]]]],.]
[2,4,3,5,1]=>[5,3,2,4,1]=>[1,4,2,3,5]=>[.,[[.,[.,.]],[.,.]]]
[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]=>[2,4,1,5,3]=>[[.,.],[[.,.],[.,.]]]
[2,5,1,4,3]=>[3,5,1,4,2]=>[2,4,1,5,3]=>[[.,.],[[.,.],[.,.]]]
[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]=>[5,4,1,2,3]=>[[[.,[.,[.,.]]],.],.]
[3,1,2,5,4]=>[3,2,1,5,4]=>[4,5,1,2,3]=>[[.,[.,[.,.]]],[.,.]]
[3,1,4,2,5]=>[4,2,3,1,5]=>[5,1,3,2,4]=>[[.,[[.,.],[.,.]]],.]
[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]=>[3,1,5,2,4]=>[[.,[.,.]],[[.,.],.]]
[3,1,5,4,2]=>[5,2,4,3,1]=>[1,3,4,2,5]=>[.,[[.,.],[.,[.,.]]]]
[3,2,1,4,5]=>[3,2,1,4,5]=>[5,4,1,2,3]=>[[[.,[.,[.,.]]],.],.]
[3,2,1,5,4]=>[3,2,1,5,4]=>[4,5,1,2,3]=>[[.,[.,[.,.]]],[.,.]]
[3,2,4,1,5]=>[4,2,3,1,5]=>[5,1,3,2,4]=>[[.,[[.,.],[.,.]]],.]
[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]=>[3,1,5,2,4]=>[[.,[.,.]],[[.,.],.]]
[3,2,5,4,1]=>[5,2,4,3,1]=>[1,3,4,2,5]=>[.,[[.,.],[.,[.,.]]]]
[3,4,1,2,5]=>[4,3,2,1,5]=>[5,1,2,3,4]=>[[.,[.,[.,[.,.]]]],.]
[3,4,1,5,2]=>[5,3,2,4,1]=>[1,4,2,3,5]=>[.,[[.,[.,.]],[.,.]]]
[3,4,2,1,5]=>[4,3,2,1,5]=>[5,1,2,3,4]=>[[.,[.,[.,[.,.]]]],.]
[3,4,2,5,1]=>[5,3,2,4,1]=>[1,4,2,3,5]=>[.,[[.,[.,.]],[.,.]]]
[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]=>[5,1,3,2,4]=>[[.,[[.,.],[.,.]]],.]
[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]=>[5,1,3,2,4]=>[[.,[[.,.],[.,.]]],.]
[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]=>[1,3,4,2,5]=>[.,[[.,.],[.,[.,.]]]]
[4,1,5,3,2]=>[5,2,4,3,1]=>[1,3,4,2,5]=>[.,[[.,.],[.,[.,.]]]]
[4,2,1,3,5]=>[4,3,2,1,5]=>[5,1,2,3,4]=>[[.,[.,[.,[.,.]]]],.]
[4,2,1,5,3]=>[5,3,2,4,1]=>[1,4,2,3,5]=>[.,[[.,[.,.]],[.,.]]]
[4,2,3,1,5]=>[4,3,2,1,5]=>[5,1,2,3,4]=>[[.,[.,[.,[.,.]]]],.]
[4,2,3,5,1]=>[5,3,2,4,1]=>[1,4,2,3,5]=>[.,[[.,[.,.]],[.,.]]]
[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]=>[5,1,2,3,4]=>[[.,[.,[.,[.,.]]]],.]
[4,3,1,5,2]=>[5,3,2,4,1]=>[1,4,2,3,5]=>[.,[[.,[.,.]],[.,.]]]
[4,3,2,1,5]=>[4,3,2,1,5]=>[5,1,2,3,4]=>[[.,[.,[.,[.,.]]]],.]
[4,3,2,5,1]=>[5,3,2,4,1]=>[1,4,2,3,5]=>[.,[[.,[.,.]],[.,.]]]
[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]=>[1,3,4,2,5]=>[.,[[.,.],[.,[.,.]]]]
[5,1,3,4,2]=>[5,2,4,3,1]=>[1,3,4,2,5]=>[.,[[.,.],[.,[.,.]]]]
[5,1,4,2,3]=>[5,2,4,3,1]=>[1,3,4,2,5]=>[.,[[.,.],[.,[.,.]]]]
[5,1,4,3,2]=>[5,2,4,3,1]=>[1,3,4,2,5]=>[.,[[.,.],[.,[.,.]]]]
[5,2,1,3,4]=>[5,3,2,4,1]=>[1,4,2,3,5]=>[.,[[.,[.,.]],[.,.]]]
[5,2,1,4,3]=>[5,3,2,4,1]=>[1,4,2,3,5]=>[.,[[.,[.,.]],[.,.]]]
[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]=>[5,6,4,3,2,1]=>[[[[[.,.],.],.],.],[.,.]]
[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>[6,4,5,3,2,1]=>[[[[[.,.],.],.],[.,.]],.]
[1,2,3,5,6,4]=>[1,2,3,6,5,4]=>[4,5,6,3,2,1]=>[[[[.,.],.],.],[.,[.,.]]]
[1,2,3,6,4,5]=>[1,2,3,6,5,4]=>[4,5,6,3,2,1]=>[[[[.,.],.],.],[.,[.,.]]]
[1,2,3,6,5,4]=>[1,2,3,6,5,4]=>[4,5,6,3,2,1]=>[[[[.,.],.],.],[.,[.,.]]]
[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]=>[5,6,3,4,2,1]=>[[[[.,.],.],[.,.]],[.,.]]
[1,2,4,5,3,6]=>[1,2,5,4,3,6]=>[6,3,4,5,2,1]=>[[[[.,.],.],[.,[.,.]]],.]
[1,2,4,5,6,3]=>[1,2,6,4,5,3]=>[3,5,4,6,2,1]=>[[[.,.],.],[[.,.],[.,.]]]
[1,2,4,6,3,5]=>[1,2,5,6,3,4]=>[4,3,6,5,2,1]=>[[[[.,.],.],.],[[.,.],.]]
[1,2,4,6,5,3]=>[1,2,6,5,4,3]=>[3,4,5,6,2,1]=>[[[.,.],.],[.,[.,[.,.]]]]
[1,2,5,3,4,6]=>[1,2,5,4,3,6]=>[6,3,4,5,2,1]=>[[[[.,.],.],[.,[.,.]]],.]
[1,2,5,3,6,4]=>[1,2,6,4,5,3]=>[3,5,4,6,2,1]=>[[[.,.],.],[[.,.],[.,.]]]
[1,2,5,4,3,6]=>[1,2,5,4,3,6]=>[6,3,4,5,2,1]=>[[[[.,.],.],[.,[.,.]]],.]
[1,2,5,4,6,3]=>[1,2,6,4,5,3]=>[3,5,4,6,2,1]=>[[[.,.],.],[[.,.],[.,.]]]
[1,2,5,6,3,4]=>[1,2,6,5,4,3]=>[3,4,5,6,2,1]=>[[[.,.],.],[.,[.,[.,.]]]]
[1,2,5,6,4,3]=>[1,2,6,5,4,3]=>[3,4,5,6,2,1]=>[[[.,.],.],[.,[.,[.,.]]]]
[1,2,6,3,4,5]=>[1,2,6,4,5,3]=>[3,5,4,6,2,1]=>[[[.,.],.],[[.,.],[.,.]]]
[1,2,6,3,5,4]=>[1,2,6,4,5,3]=>[3,5,4,6,2,1]=>[[[.,.],.],[[.,.],[.,.]]]
[1,2,6,4,3,5]=>[1,2,6,5,4,3]=>[3,4,5,6,2,1]=>[[[.,.],.],[.,[.,[.,.]]]]
[1,2,6,4,5,3]=>[1,2,6,5,4,3]=>[3,4,5,6,2,1]=>[[[.,.],.],[.,[.,[.,.]]]]
[1,2,6,5,3,4]=>[1,2,6,5,4,3]=>[3,4,5,6,2,1]=>[[[.,.],.],[.,[.,[.,.]]]]
[1,2,6,5,4,3]=>[1,2,6,5,4,3]=>[3,4,5,6,2,1]=>[[[.,.],.],[.,[.,[.,.]]]]
[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>[6,5,4,2,3,1]=>[[[[[.,.],[.,.]],.],.],.]
[1,3,2,4,6,5]=>[1,3,2,4,6,5]=>[5,6,4,2,3,1]=>[[[[.,.],[.,.]],.],[.,.]]
[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]=>[4,5,6,2,3,1]=>[[[.,.],[.,.]],[.,[.,.]]]
[1,3,2,6,4,5]=>[1,3,2,6,5,4]=>[4,5,6,2,3,1]=>[[[.,.],[.,.]],[.,[.,.]]]
[1,3,2,6,5,4]=>[1,3,2,6,5,4]=>[4,5,6,2,3,1]=>[[[.,.],[.,.]],[.,[.,.]]]
[1,3,4,2,5,6]=>[1,4,3,2,5,6]=>[6,5,2,3,4,1]=>[[[[.,.],[.,[.,.]]],.],.]
[1,3,4,2,6,5]=>[1,4,3,2,6,5]=>[5,6,2,3,4,1]=>[[[.,.],[.,[.,.]]],[.,.]]
[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]=>[2,5,4,3,6,1]=>[[.,.],[[[.,.],.],[.,.]]]
[1,3,4,6,2,5]=>[1,5,3,6,2,4]=>[4,2,6,3,5,1]=>[[[.,.],[.,.]],[[.,.],.]]
[1,3,4,6,5,2]=>[1,6,3,5,4,2]=>[2,4,5,3,6,1]=>[[.,.],[[.,.],[.,[.,.]]]]
[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]=>[3,5,2,6,4,1]=>[[[.,.],.],[[.,.],[.,.]]]
[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]=>[2,5,3,4,6,1]=>[[.,.],[[.,[.,.]],[.,.]]]
[1,3,5,6,2,4]=>[1,5,6,4,2,3]=>[3,2,4,6,5,1]=>[[[.,.],.],[.,[[.,.],.]]]
[1,3,5,6,4,2]=>[1,6,5,4,3,2]=>[2,3,4,5,6,1]=>[[.,.],[.,[.,[.,[.,.]]]]]
[1,3,6,2,4,5]=>[1,4,6,2,5,3]=>[3,5,2,6,4,1]=>[[[.,.],.],[[.,.],[.,.]]]
[1,3,6,2,5,4]=>[1,4,6,2,5,3]=>[3,5,2,6,4,1]=>[[[.,.],.],[[.,.],[.,.]]]
[1,3,6,4,2,5]=>[1,5,6,4,2,3]=>[3,2,4,6,5,1]=>[[[.,.],.],[.,[[.,.],.]]]
[1,3,6,4,5,2]=>[1,6,5,4,3,2]=>[2,3,4,5,6,1]=>[[.,.],[.,[.,[.,[.,.]]]]]
[1,3,6,5,2,4]=>[1,5,6,4,2,3]=>[3,2,4,6,5,1]=>[[[.,.],.],[.,[[.,.],.]]]
[1,3,6,5,4,2]=>[1,6,5,4,3,2]=>[2,3,4,5,6,1]=>[[.,.],[.,[.,[.,[.,.]]]]]
[1,4,2,3,5,6]=>[1,4,3,2,5,6]=>[6,5,2,3,4,1]=>[[[[.,.],[.,[.,.]]],.],.]
[1,4,2,3,6,5]=>[1,4,3,2,6,5]=>[5,6,2,3,4,1]=>[[[.,.],[.,[.,.]]],[.,.]]
[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]=>[2,5,4,3,6,1]=>[[.,.],[[[.,.],.],[.,.]]]
[1,4,2,6,3,5]=>[1,5,3,6,2,4]=>[4,2,6,3,5,1]=>[[[.,.],[.,.]],[[.,.],.]]
[1,4,2,6,5,3]=>[1,6,3,5,4,2]=>[2,4,5,3,6,1]=>[[.,.],[[.,.],[.,[.,.]]]]
[1,4,3,2,5,6]=>[1,4,3,2,5,6]=>[6,5,2,3,4,1]=>[[[[.,.],[.,[.,.]]],.],.]
[1,4,3,2,6,5]=>[1,4,3,2,6,5]=>[5,6,2,3,4,1]=>[[[.,.],[.,[.,.]]],[.,.]]
[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]=>[2,5,4,3,6,1]=>[[.,.],[[[.,.],.],[.,.]]]
[1,4,3,6,2,5]=>[1,5,3,6,2,4]=>[4,2,6,3,5,1]=>[[[.,.],[.,.]],[[.,.],.]]
[1,4,3,6,5,2]=>[1,6,3,5,4,2]=>[2,4,5,3,6,1]=>[[.,.],[[.,.],[.,[.,.]]]]
[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]=>[2,5,3,4,6,1]=>[[.,.],[[.,[.,.]],[.,.]]]
[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]=>[2,5,3,4,6,1]=>[[.,.],[[.,[.,.]],[.,.]]]
[1,4,5,6,2,3]=>[1,6,5,4,3,2]=>[2,3,4,5,6,1]=>[[.,.],[.,[.,[.,[.,.]]]]]
[1,4,5,6,3,2]=>[1,6,5,4,3,2]=>[2,3,4,5,6,1]=>[[.,.],[.,[.,[.,[.,.]]]]]
[1,4,6,2,3,5]=>[1,5,6,4,2,3]=>[3,2,4,6,5,1]=>[[[.,.],.],[.,[[.,.],.]]]
[1,4,6,2,5,3]=>[1,6,5,4,3,2]=>[2,3,4,5,6,1]=>[[.,.],[.,[.,[.,[.,.]]]]]
[1,4,6,3,2,5]=>[1,5,6,4,2,3]=>[3,2,4,6,5,1]=>[[[.,.],.],[.,[[.,.],.]]]
[1,4,6,3,5,2]=>[1,6,5,4,3,2]=>[2,3,4,5,6,1]=>[[.,.],[.,[.,[.,[.,.]]]]]
[1,4,6,5,2,3]=>[1,6,5,4,3,2]=>[2,3,4,5,6,1]=>[[.,.],[.,[.,[.,[.,.]]]]]
[1,4,6,5,3,2]=>[1,6,5,4,3,2]=>[2,3,4,5,6,1]=>[[.,.],[.,[.,[.,[.,.]]]]]
[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]=>[2,5,4,3,6,1]=>[[.,.],[[[.,.],.],[.,.]]]
[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]=>[2,5,4,3,6,1]=>[[.,.],[[[.,.],.],[.,.]]]
[1,5,2,6,3,4]=>[1,6,3,5,4,2]=>[2,4,5,3,6,1]=>[[.,.],[[.,.],[.,[.,.]]]]
[1,5,2,6,4,3]=>[1,6,3,5,4,2]=>[2,4,5,3,6,1]=>[[.,.],[[.,.],[.,[.,.]]]]
[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]=>[2,5,3,4,6,1]=>[[.,.],[[.,[.,.]],[.,.]]]
[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]=>[2,5,3,4,6,1]=>[[.,.],[[.,[.,.]],[.,.]]]
[1,5,3,6,2,4]=>[1,6,5,4,3,2]=>[2,3,4,5,6,1]=>[[.,.],[.,[.,[.,[.,.]]]]]
[1,5,3,6,4,2]=>[1,6,5,4,3,2]=>[2,3,4,5,6,1]=>[[.,.],[.,[.,[.,[.,.]]]]]
[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]=>[2,5,3,4,6,1]=>[[.,.],[[.,[.,.]],[.,.]]]
[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]=>[2,5,3,4,6,1]=>[[.,.],[[.,[.,.]],[.,.]]]
[1,5,4,6,2,3]=>[1,6,5,4,3,2]=>[2,3,4,5,6,1]=>[[.,.],[.,[.,[.,[.,.]]]]]
[1,5,4,6,3,2]=>[1,6,5,4,3,2]=>[2,3,4,5,6,1]=>[[.,.],[.,[.,[.,[.,.]]]]]
[1,5,6,2,3,4]=>[1,6,5,4,3,2]=>[2,3,4,5,6,1]=>[[.,.],[.,[.,[.,[.,.]]]]]
[1,5,6,2,4,3]=>[1,6,5,4,3,2]=>[2,3,4,5,6,1]=>[[.,.],[.,[.,[.,[.,.]]]]]
[1,5,6,3,2,4]=>[1,6,5,4,3,2]=>[2,3,4,5,6,1]=>[[.,.],[.,[.,[.,[.,.]]]]]
[1,5,6,3,4,2]=>[1,6,5,4,3,2]=>[2,3,4,5,6,1]=>[[.,.],[.,[.,[.,[.,.]]]]]
[1,5,6,4,2,3]=>[1,6,5,4,3,2]=>[2,3,4,5,6,1]=>[[.,.],[.,[.,[.,[.,.]]]]]
[1,5,6,4,3,2]=>[1,6,5,4,3,2]=>[2,3,4,5,6,1]=>[[.,.],[.,[.,[.,[.,.]]]]]
[1,6,2,3,4,5]=>[1,6,3,4,5,2]=>[2,5,4,3,6,1]=>[[.,.],[[[.,.],.],[.,.]]]
[1,6,2,3,5,4]=>[1,6,3,4,5,2]=>[2,5,4,3,6,1]=>[[.,.],[[[.,.],.],[.,.]]]
[1,6,2,4,3,5]=>[1,6,3,5,4,2]=>[2,4,5,3,6,1]=>[[.,.],[[.,.],[.,[.,.]]]]
[1,6,2,4,5,3]=>[1,6,3,5,4,2]=>[2,4,5,3,6,1]=>[[.,.],[[.,.],[.,[.,.]]]]
[1,6,2,5,3,4]=>[1,6,3,5,4,2]=>[2,4,5,3,6,1]=>[[.,.],[[.,.],[.,[.,.]]]]
[1,6,2,5,4,3]=>[1,6,3,5,4,2]=>[2,4,5,3,6,1]=>[[.,.],[[.,.],[.,[.,.]]]]
[1,6,3,2,4,5]=>[1,6,4,3,5,2]=>[2,5,3,4,6,1]=>[[.,.],[[.,[.,.]],[.,.]]]
[1,6,3,2,5,4]=>[1,6,4,3,5,2]=>[2,5,3,4,6,1]=>[[.,.],[[.,[.,.]],[.,.]]]
[1,6,3,4,2,5]=>[1,6,5,4,3,2]=>[2,3,4,5,6,1]=>[[.,.],[.,[.,[.,[.,.]]]]]
[1,6,3,4,5,2]=>[1,6,5,4,3,2]=>[2,3,4,5,6,1]=>[[.,.],[.,[.,[.,[.,.]]]]]
[1,6,3,5,2,4]=>[1,6,5,4,3,2]=>[2,3,4,5,6,1]=>[[.,.],[.,[.,[.,[.,.]]]]]
[1,6,3,5,4,2]=>[1,6,5,4,3,2]=>[2,3,4,5,6,1]=>[[.,.],[.,[.,[.,[.,.]]]]]
[1,6,4,2,3,5]=>[1,6,5,4,3,2]=>[2,3,4,5,6,1]=>[[.,.],[.,[.,[.,[.,.]]]]]
[1,6,4,2,5,3]=>[1,6,5,4,3,2]=>[2,3,4,5,6,1]=>[[.,.],[.,[.,[.,[.,.]]]]]
[1,6,4,3,2,5]=>[1,6,5,4,3,2]=>[2,3,4,5,6,1]=>[[.,.],[.,[.,[.,[.,.]]]]]
[1,6,4,3,5,2]=>[1,6,5,4,3,2]=>[2,3,4,5,6,1]=>[[.,.],[.,[.,[.,[.,.]]]]]
[1,6,4,5,2,3]=>[1,6,5,4,3,2]=>[2,3,4,5,6,1]=>[[.,.],[.,[.,[.,[.,.]]]]]
[1,6,4,5,3,2]=>[1,6,5,4,3,2]=>[2,3,4,5,6,1]=>[[.,.],[.,[.,[.,[.,.]]]]]
[1,6,5,2,3,4]=>[1,6,5,4,3,2]=>[2,3,4,5,6,1]=>[[.,.],[.,[.,[.,[.,.]]]]]
[1,6,5,2,4,3]=>[1,6,5,4,3,2]=>[2,3,4,5,6,1]=>[[.,.],[.,[.,[.,[.,.]]]]]
[1,6,5,3,2,4]=>[1,6,5,4,3,2]=>[2,3,4,5,6,1]=>[[.,.],[.,[.,[.,[.,.]]]]]
[1,6,5,3,4,2]=>[1,6,5,4,3,2]=>[2,3,4,5,6,1]=>[[.,.],[.,[.,[.,[.,.]]]]]
[1,6,5,4,2,3]=>[1,6,5,4,3,2]=>[2,3,4,5,6,1]=>[[.,.],[.,[.,[.,[.,.]]]]]
[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>[2,3,4,5,6,1]=>[[.,.],[.,[.,[.,[.,.]]]]]
[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>[6,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],.]
[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]=>[6,4,5,3,1,2]=>[[[[.,[.,.]],.],[.,.]],.]
[2,1,3,5,6,4]=>[2,1,3,6,5,4]=>[4,5,6,3,1,2]=>[[[.,[.,.]],.],[.,[.,.]]]
[2,1,3,6,4,5]=>[2,1,3,6,5,4]=>[4,5,6,3,1,2]=>[[[.,[.,.]],.],[.,[.,.]]]
[2,1,3,6,5,4]=>[2,1,3,6,5,4]=>[4,5,6,3,1,2]=>[[[.,[.,.]],.],[.,[.,.]]]
[2,1,4,3,5,6]=>[2,1,4,3,5,6]=>[6,5,3,4,1,2]=>[[[[.,[.,.]],[.,.]],.],.]
[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]=>[6,3,4,5,1,2]=>[[[.,[.,.]],[.,[.,.]]],.]
[2,1,4,5,6,3]=>[2,1,6,4,5,3]=>[3,5,4,6,1,2]=>[[.,[.,.]],[[.,.],[.,.]]]
[2,1,4,6,3,5]=>[2,1,5,6,3,4]=>[4,3,6,5,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[2,1,4,6,5,3]=>[2,1,6,5,4,3]=>[3,4,5,6,1,2]=>[[.,[.,.]],[.,[.,[.,.]]]]
[2,1,5,3,4,6]=>[2,1,5,4,3,6]=>[6,3,4,5,1,2]=>[[[.,[.,.]],[.,[.,.]]],.]
[2,1,5,3,6,4]=>[2,1,6,4,5,3]=>[3,5,4,6,1,2]=>[[.,[.,.]],[[.,.],[.,.]]]
[2,1,5,4,3,6]=>[2,1,5,4,3,6]=>[6,3,4,5,1,2]=>[[[.,[.,.]],[.,[.,.]]],.]
[2,1,5,4,6,3]=>[2,1,6,4,5,3]=>[3,5,4,6,1,2]=>[[.,[.,.]],[[.,.],[.,.]]]
[2,1,5,6,3,4]=>[2,1,6,5,4,3]=>[3,4,5,6,1,2]=>[[.,[.,.]],[.,[.,[.,.]]]]
[2,1,5,6,4,3]=>[2,1,6,5,4,3]=>[3,4,5,6,1,2]=>[[.,[.,.]],[.,[.,[.,.]]]]
[2,1,6,3,4,5]=>[2,1,6,4,5,3]=>[3,5,4,6,1,2]=>[[.,[.,.]],[[.,.],[.,.]]]
[2,1,6,3,5,4]=>[2,1,6,4,5,3]=>[3,5,4,6,1,2]=>[[.,[.,.]],[[.,.],[.,.]]]
[2,1,6,4,3,5]=>[2,1,6,5,4,3]=>[3,4,5,6,1,2]=>[[.,[.,.]],[.,[.,[.,.]]]]
[2,1,6,4,5,3]=>[2,1,6,5,4,3]=>[3,4,5,6,1,2]=>[[.,[.,.]],[.,[.,[.,.]]]]
[2,1,6,5,3,4]=>[2,1,6,5,4,3]=>[3,4,5,6,1,2]=>[[.,[.,.]],[.,[.,[.,.]]]]
[2,1,6,5,4,3]=>[2,1,6,5,4,3]=>[3,4,5,6,1,2]=>[[.,[.,.]],[.,[.,[.,.]]]]
[2,3,1,4,5,6]=>[3,2,1,4,5,6]=>[6,5,4,1,2,3]=>[[[[.,[.,[.,.]]],.],.],.]
[2,3,1,4,6,5]=>[3,2,1,4,6,5]=>[5,6,4,1,2,3]=>[[[.,[.,[.,.]]],.],[.,.]]
[2,3,1,5,4,6]=>[3,2,1,5,4,6]=>[6,4,5,1,2,3]=>[[[.,[.,[.,.]]],[.,.]],.]
[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]=>[6,5,1,3,2,4]=>[[[.,[[.,.],[.,.]]],.],.]
[2,3,4,1,6,5]=>[4,2,3,1,6,5]=>[5,6,1,3,2,4]=>[[.,[[.,.],[.,.]]],[.,.]]
[2,3,4,5,1,6]=>[5,2,3,4,1,6]=>[6,1,4,3,2,5]=>[[.,[[[.,.],.],[.,.]]],.]
[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]=>[4,1,6,3,2,5]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,4,6,5,1]=>[6,2,3,5,4,1]=>[1,4,5,3,2,6]=>[.,[[[.,.],.],[.,[.,.]]]]
[2,3,5,1,4,6]=>[4,2,5,1,3,6]=>[6,3,1,5,2,4]=>[[[.,[.,.]],[[.,.],.]],.]
[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]=>[6,1,3,4,2,5]=>[[.,[[.,.],[.,[.,.]]]],.]
[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]=>[3,1,4,6,2,5]=>[[.,[.,.]],[.,[[.,.],.]]]
[2,3,5,6,4,1]=>[6,2,5,4,3,1]=>[1,3,4,5,2,6]=>[.,[[.,.],[.,[.,[.,.]]]]]
[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]=>[3,1,4,6,2,5]=>[[.,[.,.]],[.,[[.,.],.]]]
[2,3,6,4,5,1]=>[6,2,5,4,3,1]=>[1,3,4,5,2,6]=>[.,[[.,.],[.,[.,[.,.]]]]]
[2,3,6,5,1,4]=>[5,2,6,4,1,3]=>[3,1,4,6,2,5]=>[[.,[.,.]],[.,[[.,.],.]]]
[2,3,6,5,4,1]=>[6,2,5,4,3,1]=>[1,3,4,5,2,6]=>[.,[[.,.],[.,[.,[.,.]]]]]
[2,4,1,3,5,6]=>[3,4,1,2,5,6]=>[6,5,2,1,4,3]=>[[[[.,.],[[.,.],.]],.],.]
[2,4,1,3,6,5]=>[3,4,1,2,6,5]=>[5,6,2,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[2,4,1,5,3,6]=>[3,5,1,4,2,6]=>[6,2,4,1,5,3]=>[[[.,.],[[.,.],[.,.]]],.]
[2,4,1,5,6,3]=>[3,6,1,4,5,2]=>[2,5,4,1,6,3]=>[[.,.],[[[.,.],.],[.,.]]]
[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]=>[2,4,5,1,6,3]=>[[.,.],[[.,.],[.,[.,.]]]]
[2,4,3,1,5,6]=>[4,3,2,1,5,6]=>[6,5,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],.],.]
[2,4,3,1,6,5]=>[4,3,2,1,6,5]=>[5,6,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,.]]
[2,4,3,5,1,6]=>[5,3,2,4,1,6]=>[6,1,4,2,3,5]=>[[.,[[.,[.,.]],[.,.]]],.]
[2,4,3,5,6,1]=>[6,3,2,4,5,1]=>[1,5,4,2,3,6]=>[.,[[[.,[.,.]],.],[.,.]]]
[2,4,3,6,1,5]=>[5,3,2,6,1,4]=>[4,1,6,2,3,5]=>[[.,[.,[.,.]]],[[.,.],.]]
[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]=>[6,2,1,3,5,4]=>[[[.,.],[.,[[.,.],.]]],.]
[2,4,5,1,6,3]=>[4,6,3,1,5,2]=>[2,5,1,3,6,4]=>[[.,.],[[.,[.,.]],[.,.]]]
[2,4,5,3,1,6]=>[5,4,3,2,1,6]=>[6,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],.]
[2,4,5,3,6,1]=>[6,4,3,2,5,1]=>[1,5,2,3,4,6]=>[.,[[.,[.,[.,.]]],[.,.]]]
[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]=>[2,3,1,5,6,4]=>[[.,.],[.,[[.,.],[.,.]]]]
[2,4,6,3,1,5]=>[5,4,6,2,1,3]=>[3,1,2,6,4,5]=>[[.,[.,.]],[[.,[.,.]],.]]
[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]=>[6,2,4,1,5,3]=>[[[.,.],[[.,.],[.,.]]],.]
[2,5,1,3,6,4]=>[3,6,1,4,5,2]=>[2,5,4,1,6,3]=>[[.,.],[[[.,.],.],[.,.]]]
[2,5,1,4,3,6]=>[3,5,1,4,2,6]=>[6,2,4,1,5,3]=>[[[.,.],[[.,.],[.,.]]],.]
[2,5,1,4,6,3]=>[3,6,1,4,5,2]=>[2,5,4,1,6,3]=>[[.,.],[[[.,.],.],[.,.]]]
[2,5,1,6,3,4]=>[3,6,1,5,4,2]=>[2,4,5,1,6,3]=>[[.,.],[[.,.],[.,[.,.]]]]
[2,5,1,6,4,3]=>[3,6,1,5,4,2]=>[2,4,5,1,6,3]=>[[.,.],[[.,.],[.,[.,.]]]]
[2,5,3,1,4,6]=>[4,5,3,1,2,6]=>[6,2,1,3,5,4]=>[[[.,.],[.,[[.,.],.]]],.]
[2,5,3,1,6,4]=>[4,6,3,1,5,2]=>[2,5,1,3,6,4]=>[[.,.],[[.,[.,.]],[.,.]]]
[2,5,3,4,1,6]=>[5,4,3,2,1,6]=>[6,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],.]
[2,5,3,4,6,1]=>[6,4,3,2,5,1]=>[1,5,2,3,4,6]=>[.,[[.,[.,[.,.]]],[.,.]]]
[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]=>[6,2,1,3,5,4]=>[[[.,.],[.,[[.,.],.]]],.]
[2,5,4,1,6,3]=>[4,6,3,1,5,2]=>[2,5,1,3,6,4]=>[[.,.],[[.,[.,.]],[.,.]]]
[2,5,4,3,1,6]=>[5,4,3,2,1,6]=>[6,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],.]
[2,5,4,3,6,1]=>[6,4,3,2,5,1]=>[1,5,2,3,4,6]=>[.,[[.,[.,[.,.]]],[.,.]]]
[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]=>[2,3,1,5,6,4]=>[[.,.],[.,[[.,.],[.,.]]]]
[2,5,6,1,4,3]=>[4,6,5,1,3,2]=>[2,3,1,5,6,4]=>[[.,.],[.,[[.,.],[.,.]]]]
[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]=>[2,5,4,1,6,3]=>[[.,.],[[[.,.],.],[.,.]]]
[2,6,1,3,5,4]=>[3,6,1,4,5,2]=>[2,5,4,1,6,3]=>[[.,.],[[[.,.],.],[.,.]]]
[2,6,1,4,3,5]=>[3,6,1,5,4,2]=>[2,4,5,1,6,3]=>[[.,.],[[.,.],[.,[.,.]]]]
[2,6,1,4,5,3]=>[3,6,1,5,4,2]=>[2,4,5,1,6,3]=>[[.,.],[[.,.],[.,[.,.]]]]
[2,6,1,5,3,4]=>[3,6,1,5,4,2]=>[2,4,5,1,6,3]=>[[.,.],[[.,.],[.,[.,.]]]]
[2,6,1,5,4,3]=>[3,6,1,5,4,2]=>[2,4,5,1,6,3]=>[[.,.],[[.,.],[.,[.,.]]]]
[2,6,3,1,4,5]=>[4,6,3,1,5,2]=>[2,5,1,3,6,4]=>[[.,.],[[.,[.,.]],[.,.]]]
[2,6,3,1,5,4]=>[4,6,3,1,5,2]=>[2,5,1,3,6,4]=>[[.,.],[[.,[.,.]],[.,.]]]
[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]=>[2,3,1,5,6,4]=>[[.,.],[.,[[.,.],[.,.]]]]
[2,6,4,1,5,3]=>[4,6,5,1,3,2]=>[2,3,1,5,6,4]=>[[.,.],[.,[[.,.],[.,.]]]]
[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]=>[2,3,1,5,6,4]=>[[.,.],[.,[[.,.],[.,.]]]]
[2,6,5,1,4,3]=>[4,6,5,1,3,2]=>[2,3,1,5,6,4]=>[[.,.],[.,[[.,.],[.,.]]]]
[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]=>[6,5,4,1,2,3]=>[[[[.,[.,[.,.]]],.],.],.]
[3,1,2,4,6,5]=>[3,2,1,4,6,5]=>[5,6,4,1,2,3]=>[[[.,[.,[.,.]]],.],[.,.]]
[3,1,2,5,4,6]=>[3,2,1,5,4,6]=>[6,4,5,1,2,3]=>[[[.,[.,[.,.]]],[.,.]],.]
[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]=>[6,5,1,3,2,4]=>[[[.,[[.,.],[.,.]]],.],.]
[3,1,4,2,6,5]=>[4,2,3,1,6,5]=>[5,6,1,3,2,4]=>[[.,[[.,.],[.,.]]],[.,.]]
[3,1,4,5,2,6]=>[5,2,3,4,1,6]=>[6,1,4,3,2,5]=>[[.,[[[.,.],.],[.,.]]],.]
[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]=>[4,1,6,3,2,5]=>[[.,[[.,.],.]],[[.,.],.]]
[3,1,4,6,5,2]=>[6,2,3,5,4,1]=>[1,4,5,3,2,6]=>[.,[[[.,.],.],[.,[.,.]]]]
[3,1,5,2,4,6]=>[4,2,5,1,3,6]=>[6,3,1,5,2,4]=>[[[.,[.,.]],[[.,.],.]],.]
[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]=>[6,1,3,4,2,5]=>[[.,[[.,.],[.,[.,.]]]],.]
[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]=>[3,1,4,6,2,5]=>[[.,[.,.]],[.,[[.,.],.]]]
[3,1,5,6,4,2]=>[6,2,5,4,3,1]=>[1,3,4,5,2,6]=>[.,[[.,.],[.,[.,[.,.]]]]]
[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]=>[3,1,4,6,2,5]=>[[.,[.,.]],[.,[[.,.],.]]]
[3,1,6,4,5,2]=>[6,2,5,4,3,1]=>[1,3,4,5,2,6]=>[.,[[.,.],[.,[.,[.,.]]]]]
[3,1,6,5,2,4]=>[5,2,6,4,1,3]=>[3,1,4,6,2,5]=>[[.,[.,.]],[.,[[.,.],.]]]
[3,1,6,5,4,2]=>[6,2,5,4,3,1]=>[1,3,4,5,2,6]=>[.,[[.,.],[.,[.,[.,.]]]]]
[3,2,1,4,5,6]=>[3,2,1,4,5,6]=>[6,5,4,1,2,3]=>[[[[.,[.,[.,.]]],.],.],.]
[3,2,1,4,6,5]=>[3,2,1,4,6,5]=>[5,6,4,1,2,3]=>[[[.,[.,[.,.]]],.],[.,.]]
[3,2,1,5,4,6]=>[3,2,1,5,4,6]=>[6,4,5,1,2,3]=>[[[.,[.,[.,.]]],[.,.]],.]
[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]=>[6,5,1,3,2,4]=>[[[.,[[.,.],[.,.]]],.],.]
[3,2,4,1,6,5]=>[4,2,3,1,6,5]=>[5,6,1,3,2,4]=>[[.,[[.,.],[.,.]]],[.,.]]
[3,2,4,5,1,6]=>[5,2,3,4,1,6]=>[6,1,4,3,2,5]=>[[.,[[[.,.],.],[.,.]]],.]
[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]=>[4,1,6,3,2,5]=>[[.,[[.,.],.]],[[.,.],.]]
[3,2,4,6,5,1]=>[6,2,3,5,4,1]=>[1,4,5,3,2,6]=>[.,[[[.,.],.],[.,[.,.]]]]
[3,2,5,1,4,6]=>[4,2,5,1,3,6]=>[6,3,1,5,2,4]=>[[[.,[.,.]],[[.,.],.]],.]
[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]=>[6,1,3,4,2,5]=>[[.,[[.,.],[.,[.,.]]]],.]
[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]=>[3,1,4,6,2,5]=>[[.,[.,.]],[.,[[.,.],.]]]
[3,2,5,6,4,1]=>[6,2,5,4,3,1]=>[1,3,4,5,2,6]=>[.,[[.,.],[.,[.,[.,.]]]]]
[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]=>[3,1,4,6,2,5]=>[[.,[.,.]],[.,[[.,.],.]]]
[3,2,6,4,5,1]=>[6,2,5,4,3,1]=>[1,3,4,5,2,6]=>[.,[[.,.],[.,[.,[.,.]]]]]
[3,2,6,5,1,4]=>[5,2,6,4,1,3]=>[3,1,4,6,2,5]=>[[.,[.,.]],[.,[[.,.],.]]]
[3,2,6,5,4,1]=>[6,2,5,4,3,1]=>[1,3,4,5,2,6]=>[.,[[.,.],[.,[.,[.,.]]]]]
[3,4,1,2,5,6]=>[4,3,2,1,5,6]=>[6,5,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],.],.]
[3,4,1,2,6,5]=>[4,3,2,1,6,5]=>[5,6,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,.]]
[3,4,1,5,2,6]=>[5,3,2,4,1,6]=>[6,1,4,2,3,5]=>[[.,[[.,[.,.]],[.,.]]],.]
[3,4,1,5,6,2]=>[6,3,2,4,5,1]=>[1,5,4,2,3,6]=>[.,[[[.,[.,.]],.],[.,.]]]
[3,4,1,6,2,5]=>[5,3,2,6,1,4]=>[4,1,6,2,3,5]=>[[.,[.,[.,.]]],[[.,.],.]]
[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]=>[6,5,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],.],.]
[3,4,2,1,6,5]=>[4,3,2,1,6,5]=>[5,6,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,.]]
[3,4,2,5,1,6]=>[5,3,2,4,1,6]=>[6,1,4,2,3,5]=>[[.,[[.,[.,.]],[.,.]]],.]
[3,4,2,5,6,1]=>[6,3,2,4,5,1]=>[1,5,4,2,3,6]=>[.,[[[.,[.,.]],.],[.,.]]]
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[3,4,5,1,6,2]=>[6,4,3,2,5,1]=>[1,5,2,3,4,6]=>[.,[[.,[.,[.,.]]],[.,.]]]
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[3,4,5,2,6,1]=>[6,4,3,2,5,1]=>[1,5,2,3,4,6]=>[.,[[.,[.,[.,.]]],[.,.]]]
[3,4,5,6,1,2]=>[6,5,3,4,2,1]=>[1,2,4,3,5,6]=>[.,[.,[[.,.],[.,[.,.]]]]]
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[3,4,6,1,2,5]=>[5,4,6,2,1,3]=>[3,1,2,6,4,5]=>[[.,[.,.]],[[.,[.,.]],.]]
[3,4,6,1,5,2]=>[6,4,5,2,3,1]=>[1,3,2,5,4,6]=>[.,[[.,.],[[.,.],[.,.]]]]
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[3,4,6,2,5,1]=>[6,4,5,2,3,1]=>[1,3,2,5,4,6]=>[.,[[.,.],[[.,.],[.,.]]]]
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[3,5,1,2,4,6]=>[4,5,3,1,2,6]=>[6,2,1,3,5,4]=>[[[.,.],[.,[[.,.],.]]],.]
[3,5,1,2,6,4]=>[4,6,3,1,5,2]=>[2,5,1,3,6,4]=>[[.,.],[[.,[.,.]],[.,.]]]
[3,5,1,4,2,6]=>[5,4,3,2,1,6]=>[6,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],.]
[3,5,1,4,6,2]=>[6,4,3,2,5,1]=>[1,5,2,3,4,6]=>[.,[[.,[.,[.,.]]],[.,.]]]
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[3,5,1,6,4,2]=>[6,5,3,4,2,1]=>[1,2,4,3,5,6]=>[.,[.,[[.,.],[.,[.,.]]]]]
[3,5,2,1,4,6]=>[4,5,3,1,2,6]=>[6,2,1,3,5,4]=>[[[.,.],[.,[[.,.],.]]],.]
[3,5,2,1,6,4]=>[4,6,3,1,5,2]=>[2,5,1,3,6,4]=>[[.,.],[[.,[.,.]],[.,.]]]
[3,5,2,4,1,6]=>[5,4,3,2,1,6]=>[6,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],.]
[3,5,2,4,6,1]=>[6,4,3,2,5,1]=>[1,5,2,3,4,6]=>[.,[[.,[.,[.,.]]],[.,.]]]
[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]=>[6,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],.]
[3,5,4,1,6,2]=>[6,4,3,2,5,1]=>[1,5,2,3,4,6]=>[.,[[.,[.,[.,.]]],[.,.]]]
[3,5,4,2,1,6]=>[5,4,3,2,1,6]=>[6,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],.]
[3,5,4,2,6,1]=>[6,4,3,2,5,1]=>[1,5,2,3,4,6]=>[.,[[.,[.,[.,.]]],[.,.]]]
[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]=>[.,[.,[.,[.,[.,[.,.]]]]]]
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[3,5,6,4,2,1]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
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[3,6,1,2,5,4]=>[4,6,3,1,5,2]=>[2,5,1,3,6,4]=>[[.,.],[[.,[.,.]],[.,.]]]
[3,6,1,4,2,5]=>[5,6,3,4,1,2]=>[2,1,4,3,6,5]=>[[.,.],[[.,.],[[.,.],.]]]
[3,6,1,4,5,2]=>[6,5,3,4,2,1]=>[1,2,4,3,5,6]=>[.,[.,[[.,.],[.,[.,.]]]]]
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[3,6,2,1,4,5]=>[4,6,3,1,5,2]=>[2,5,1,3,6,4]=>[[.,.],[[.,[.,.]],[.,.]]]
[3,6,2,1,5,4]=>[4,6,3,1,5,2]=>[2,5,1,3,6,4]=>[[.,.],[[.,[.,.]],[.,.]]]
[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]=>[.,[.,[[.,.],[.,[.,.]]]]]
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[3,6,2,5,4,1]=>[6,5,3,4,2,1]=>[1,2,4,3,5,6]=>[.,[.,[[.,.],[.,[.,.]]]]]
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[3,6,4,1,5,2]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
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[3,6,5,1,4,2]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
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[3,6,5,4,1,2]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[3,6,5,4,2,1]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
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[4,1,2,6,5,3]=>[6,2,3,5,4,1]=>[1,4,5,3,2,6]=>[.,[[[.,.],.],[.,[.,.]]]]
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[4,1,3,2,6,5]=>[4,2,3,1,6,5]=>[5,6,1,3,2,4]=>[[.,[[.,.],[.,.]]],[.,.]]
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[4,1,5,3,2,6]=>[5,2,4,3,1,6]=>[6,1,3,4,2,5]=>[[.,[[.,.],[.,[.,.]]]],.]
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[4,1,5,6,3,2]=>[6,2,5,4,3,1]=>[1,3,4,5,2,6]=>[.,[[.,.],[.,[.,[.,.]]]]]
[4,1,6,2,3,5]=>[5,2,6,4,1,3]=>[3,1,4,6,2,5]=>[[.,[.,.]],[.,[[.,.],.]]]
[4,1,6,2,5,3]=>[6,2,5,4,3,1]=>[1,3,4,5,2,6]=>[.,[[.,.],[.,[.,[.,.]]]]]
[4,1,6,3,2,5]=>[5,2,6,4,1,3]=>[3,1,4,6,2,5]=>[[.,[.,.]],[.,[[.,.],.]]]
[4,1,6,3,5,2]=>[6,2,5,4,3,1]=>[1,3,4,5,2,6]=>[.,[[.,.],[.,[.,[.,.]]]]]
[4,1,6,5,2,3]=>[6,2,5,4,3,1]=>[1,3,4,5,2,6]=>[.,[[.,.],[.,[.,[.,.]]]]]
[4,1,6,5,3,2]=>[6,2,5,4,3,1]=>[1,3,4,5,2,6]=>[.,[[.,.],[.,[.,[.,.]]]]]
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[4,2,6,1,3,5]=>[5,4,6,2,1,3]=>[3,1,2,6,4,5]=>[[.,[.,.]],[[.,[.,.]],.]]
[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]=>[3,1,2,6,4,5]=>[[.,[.,.]],[[.,[.,.]],.]]
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[4,2,6,5,1,3]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[4,2,6,5,3,1]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
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[4,3,1,2,6,5]=>[4,3,2,1,6,5]=>[5,6,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,.]]
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[4,3,2,1,5,6]=>[4,3,2,1,5,6]=>[6,5,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],.],.]
[4,3,2,1,6,5]=>[4,3,2,1,6,5]=>[5,6,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,.]]
[4,3,2,5,1,6]=>[5,3,2,4,1,6]=>[6,1,4,2,3,5]=>[[.,[[.,[.,.]],[.,.]]],.]
[4,3,2,5,6,1]=>[6,3,2,4,5,1]=>[1,5,4,2,3,6]=>[.,[[[.,[.,.]],.],[.,.]]]
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[4,3,2,6,5,1]=>[6,3,2,5,4,1]=>[1,4,5,2,3,6]=>[.,[[.,[.,.]],[.,[.,.]]]]
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[4,3,5,1,6,2]=>[6,4,3,2,5,1]=>[1,5,2,3,4,6]=>[.,[[.,[.,[.,.]]],[.,.]]]
[4,3,5,2,1,6]=>[5,4,3,2,1,6]=>[6,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],.]
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[6,5,1,2,3,4]=>[6,5,3,4,2,1]=>[1,2,4,3,5,6]=>[.,[.,[[.,.],[.,[.,.]]]]]
[6,5,1,2,4,3]=>[6,5,3,4,2,1]=>[1,2,4,3,5,6]=>[.,[.,[[.,.],[.,[.,.]]]]]
[6,5,1,3,2,4]=>[6,5,3,4,2,1]=>[1,2,4,3,5,6]=>[.,[.,[[.,.],[.,[.,.]]]]]
[6,5,1,3,4,2]=>[6,5,3,4,2,1]=>[1,2,4,3,5,6]=>[.,[.,[[.,.],[.,[.,.]]]]]
[6,5,1,4,2,3]=>[6,5,3,4,2,1]=>[1,2,4,3,5,6]=>[.,[.,[[.,.],[.,[.,.]]]]]
[6,5,1,4,3,2]=>[6,5,3,4,2,1]=>[1,2,4,3,5,6]=>[.,[.,[[.,.],[.,[.,.]]]]]
[6,5,2,1,3,4]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[6,5,2,1,4,3]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[6,5,2,3,1,4]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[6,5,2,3,4,1]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[6,5,2,4,1,3]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[6,5,2,4,3,1]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[6,5,3,1,2,4]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[6,5,3,1,4,2]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[6,5,3,2,1,4]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[6,5,3,2,4,1]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[6,5,3,4,1,2]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[6,5,4,1,2,3]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[6,5,4,1,3,2]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[6,5,4,2,1,3]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[6,5,4,2,3,1]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[6,5,4,3,1,2]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[6,7,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],[.,.]]
[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[7,5,6,4,3,2,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]=>[5,6,7,4,3,2,1]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[1,2,3,4,7,5,6]=>[1,2,3,4,7,6,5]=>[5,6,7,4,3,2,1]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[1,2,3,4,7,6,5]=>[1,2,3,4,7,6,5]=>[5,6,7,4,3,2,1]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[7,6,4,5,3,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>[6,7,4,5,3,2,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7]=>[7,4,5,6,3,2,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]
[1,2,3,5,6,7,4]=>[1,2,3,7,5,6,4]=>[4,6,5,7,3,2,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[1,2,3,5,7,4,6]=>[1,2,3,6,7,4,5]=>[5,4,7,6,3,2,1]=>[[[[[.,.],.],.],.],[[.,.],.]]
[1,2,3,5,7,6,4]=>[1,2,3,7,6,5,4]=>[4,5,6,7,3,2,1]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[1,2,3,6,4,5,7]=>[1,2,3,6,5,4,7]=>[7,4,5,6,3,2,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]
[1,2,3,6,4,7,5]=>[1,2,3,7,5,6,4]=>[4,6,5,7,3,2,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[1,2,3,6,5,4,7]=>[1,2,3,6,5,4,7]=>[7,4,5,6,3,2,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]
[1,2,3,6,5,7,4]=>[1,2,3,7,5,6,4]=>[4,6,5,7,3,2,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[1,2,3,6,7,4,5]=>[1,2,3,7,6,5,4]=>[4,5,6,7,3,2,1]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[1,2,3,6,7,5,4]=>[1,2,3,7,6,5,4]=>[4,5,6,7,3,2,1]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[1,2,3,7,4,5,6]=>[1,2,3,7,5,6,4]=>[4,6,5,7,3,2,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[1,2,3,7,4,6,5]=>[1,2,3,7,5,6,4]=>[4,6,5,7,3,2,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[1,2,3,7,5,4,6]=>[1,2,3,7,6,5,4]=>[4,5,6,7,3,2,1]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[1,2,3,7,5,6,4]=>[1,2,3,7,6,5,4]=>[4,5,6,7,3,2,1]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[1,2,3,7,6,4,5]=>[1,2,3,7,6,5,4]=>[4,5,6,7,3,2,1]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[1,2,3,7,6,5,4]=>[1,2,3,7,6,5,4]=>[4,5,6,7,3,2,1]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[7,6,5,3,4,2,1]=>[[[[[[.,.],.],[.,.]],.],.],.]
[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>[6,7,5,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>[7,5,6,3,4,2,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[1,2,4,3,6,7,5]=>[1,2,4,3,7,6,5]=>[5,6,7,3,4,2,1]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[1,2,4,3,7,5,6]=>[1,2,4,3,7,6,5]=>[5,6,7,3,4,2,1]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[1,2,4,3,7,6,5]=>[1,2,4,3,7,6,5]=>[5,6,7,3,4,2,1]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[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]=>[6,7,3,4,5,2,1]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[1,2,4,5,6,3,7]=>[1,2,6,4,5,3,7]=>[7,3,5,4,6,2,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[1,2,4,5,6,7,3]=>[1,2,7,4,5,6,3]=>[3,6,5,4,7,2,1]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[1,2,4,5,7,3,6]=>[1,2,6,4,7,3,5]=>[5,3,7,4,6,2,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[1,2,4,5,7,6,3]=>[1,2,7,4,6,5,3]=>[3,5,6,4,7,2,1]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[1,2,4,6,3,5,7]=>[1,2,5,6,3,4,7]=>[7,4,3,6,5,2,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[1,2,4,6,3,7,5]=>[1,2,5,7,3,6,4]=>[4,6,3,7,5,2,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[1,2,4,6,5,3,7]=>[1,2,6,5,4,3,7]=>[7,3,4,5,6,2,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[1,2,4,6,5,7,3]=>[1,2,7,5,4,6,3]=>[3,6,4,5,7,2,1]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[1,2,4,6,7,3,5]=>[1,2,6,7,5,3,4]=>[4,3,5,7,6,2,1]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[1,2,4,6,7,5,3]=>[1,2,7,6,5,4,3]=>[3,4,5,6,7,2,1]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,2,4,7,3,5,6]=>[1,2,5,7,3,6,4]=>[4,6,3,7,5,2,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[1,2,4,7,3,6,5]=>[1,2,5,7,3,6,4]=>[4,6,3,7,5,2,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[1,2,4,7,5,3,6]=>[1,2,6,7,5,3,4]=>[4,3,5,7,6,2,1]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[1,2,4,7,5,6,3]=>[1,2,7,6,5,4,3]=>[3,4,5,6,7,2,1]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,2,4,7,6,3,5]=>[1,2,6,7,5,3,4]=>[4,3,5,7,6,2,1]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[1,2,4,7,6,5,3]=>[1,2,7,6,5,4,3]=>[3,4,5,6,7,2,1]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[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]=>[6,7,3,4,5,2,1]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[1,2,5,3,6,4,7]=>[1,2,6,4,5,3,7]=>[7,3,5,4,6,2,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[1,2,5,3,6,7,4]=>[1,2,7,4,5,6,3]=>[3,6,5,4,7,2,1]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[1,2,5,3,7,4,6]=>[1,2,6,4,7,3,5]=>[5,3,7,4,6,2,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[1,2,5,3,7,6,4]=>[1,2,7,4,6,5,3]=>[3,5,6,4,7,2,1]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[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]=>[6,7,3,4,5,2,1]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[1,2,5,4,6,3,7]=>[1,2,6,4,5,3,7]=>[7,3,5,4,6,2,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[1,2,5,4,6,7,3]=>[1,2,7,4,5,6,3]=>[3,6,5,4,7,2,1]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[1,2,5,4,7,3,6]=>[1,2,6,4,7,3,5]=>[5,3,7,4,6,2,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[1,2,5,4,7,6,3]=>[1,2,7,4,6,5,3]=>[3,5,6,4,7,2,1]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[1,2,5,6,3,4,7]=>[1,2,6,5,4,3,7]=>[7,3,4,5,6,2,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[1,2,5,6,3,7,4]=>[1,2,7,5,4,6,3]=>[3,6,4,5,7,2,1]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[1,2,5,6,4,3,7]=>[1,2,6,5,4,3,7]=>[7,3,4,5,6,2,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[1,2,5,6,4,7,3]=>[1,2,7,5,4,6,3]=>[3,6,4,5,7,2,1]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[1,2,5,6,7,3,4]=>[1,2,7,6,5,4,3]=>[3,4,5,6,7,2,1]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,2,5,6,7,4,3]=>[1,2,7,6,5,4,3]=>[3,4,5,6,7,2,1]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,2,5,7,3,4,6]=>[1,2,6,7,5,3,4]=>[4,3,5,7,6,2,1]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[1,2,5,7,3,6,4]=>[1,2,7,6,5,4,3]=>[3,4,5,6,7,2,1]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,2,5,7,4,3,6]=>[1,2,6,7,5,3,4]=>[4,3,5,7,6,2,1]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[1,2,5,7,4,6,3]=>[1,2,7,6,5,4,3]=>[3,4,5,6,7,2,1]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,2,5,7,6,3,4]=>[1,2,7,6,5,4,3]=>[3,4,5,6,7,2,1]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,2,5,7,6,4,3]=>[1,2,7,6,5,4,3]=>[3,4,5,6,7,2,1]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,2,6,3,4,5,7]=>[1,2,6,4,5,3,7]=>[7,3,5,4,6,2,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[1,2,6,3,4,7,5]=>[1,2,7,4,5,6,3]=>[3,6,5,4,7,2,1]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[1,2,6,3,5,4,7]=>[1,2,6,4,5,3,7]=>[7,3,5,4,6,2,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[1,2,6,3,5,7,4]=>[1,2,7,4,5,6,3]=>[3,6,5,4,7,2,1]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[1,2,6,3,7,4,5]=>[1,2,7,4,6,5,3]=>[3,5,6,4,7,2,1]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[1,2,6,3,7,5,4]=>[1,2,7,4,6,5,3]=>[3,5,6,4,7,2,1]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[1,2,6,4,3,5,7]=>[1,2,6,5,4,3,7]=>[7,3,4,5,6,2,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[1,2,6,4,3,7,5]=>[1,2,7,5,4,6,3]=>[3,6,4,5,7,2,1]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[1,2,6,4,5,3,7]=>[1,2,6,5,4,3,7]=>[7,3,4,5,6,2,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[1,2,6,4,5,7,3]=>[1,2,7,5,4,6,3]=>[3,6,4,5,7,2,1]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[1,2,6,4,7,3,5]=>[1,2,7,6,5,4,3]=>[3,4,5,6,7,2,1]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,2,6,4,7,5,3]=>[1,2,7,6,5,4,3]=>[3,4,5,6,7,2,1]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,2,6,5,3,4,7]=>[1,2,6,5,4,3,7]=>[7,3,4,5,6,2,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[1,2,6,5,3,7,4]=>[1,2,7,5,4,6,3]=>[3,6,4,5,7,2,1]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[1,2,6,5,4,3,7]=>[1,2,6,5,4,3,7]=>[7,3,4,5,6,2,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[1,2,6,5,4,7,3]=>[1,2,7,5,4,6,3]=>[3,6,4,5,7,2,1]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[1,2,6,5,7,3,4]=>[1,2,7,6,5,4,3]=>[3,4,5,6,7,2,1]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,2,6,5,7,4,3]=>[1,2,7,6,5,4,3]=>[3,4,5,6,7,2,1]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,2,6,7,3,4,5]=>[1,2,7,6,5,4,3]=>[3,4,5,6,7,2,1]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,2,6,7,3,5,4]=>[1,2,7,6,5,4,3]=>[3,4,5,6,7,2,1]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,2,6,7,4,3,5]=>[1,2,7,6,5,4,3]=>[3,4,5,6,7,2,1]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,2,6,7,4,5,3]=>[1,2,7,6,5,4,3]=>[3,4,5,6,7,2,1]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,2,6,7,5,3,4]=>[1,2,7,6,5,4,3]=>[3,4,5,6,7,2,1]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,2,6,7,5,4,3]=>[1,2,7,6,5,4,3]=>[3,4,5,6,7,2,1]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,2,7,3,4,5,6]=>[1,2,7,4,5,6,3]=>[3,6,5,4,7,2,1]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[1,2,7,3,4,6,5]=>[1,2,7,4,5,6,3]=>[3,6,5,4,7,2,1]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[1,2,7,3,5,4,6]=>[1,2,7,4,6,5,3]=>[3,5,6,4,7,2,1]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[1,2,7,3,5,6,4]=>[1,2,7,4,6,5,3]=>[3,5,6,4,7,2,1]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[1,2,7,3,6,4,5]=>[1,2,7,4,6,5,3]=>[3,5,6,4,7,2,1]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[1,2,7,3,6,5,4]=>[1,2,7,4,6,5,3]=>[3,5,6,4,7,2,1]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[1,2,7,4,3,5,6]=>[1,2,7,5,4,6,3]=>[3,6,4,5,7,2,1]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[1,2,7,4,3,6,5]=>[1,2,7,5,4,6,3]=>[3,6,4,5,7,2,1]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[1,2,7,4,5,3,6]=>[1,2,7,6,5,4,3]=>[3,4,5,6,7,2,1]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,2,7,4,5,6,3]=>[1,2,7,6,5,4,3]=>[3,4,5,6,7,2,1]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,2,7,4,6,3,5]=>[1,2,7,6,5,4,3]=>[3,4,5,6,7,2,1]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,2,7,4,6,5,3]=>[1,2,7,6,5,4,3]=>[3,4,5,6,7,2,1]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,2,7,5,3,4,6]=>[1,2,7,6,5,4,3]=>[3,4,5,6,7,2,1]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,2,7,5,3,6,4]=>[1,2,7,6,5,4,3]=>[3,4,5,6,7,2,1]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,2,7,5,4,3,6]=>[1,2,7,6,5,4,3]=>[3,4,5,6,7,2,1]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,2,7,5,4,6,3]=>[1,2,7,6,5,4,3]=>[3,4,5,6,7,2,1]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,2,7,5,6,3,4]=>[1,2,7,6,5,4,3]=>[3,4,5,6,7,2,1]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,2,7,5,6,4,3]=>[1,2,7,6,5,4,3]=>[3,4,5,6,7,2,1]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,2,7,6,3,4,5]=>[1,2,7,6,5,4,3]=>[3,4,5,6,7,2,1]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,2,7,6,3,5,4]=>[1,2,7,6,5,4,3]=>[3,4,5,6,7,2,1]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,2,7,6,4,3,5]=>[1,2,7,6,5,4,3]=>[3,4,5,6,7,2,1]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,2,7,6,4,5,3]=>[1,2,7,6,5,4,3]=>[3,4,5,6,7,2,1]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,2,7,6,5,3,4]=>[1,2,7,6,5,4,3]=>[3,4,5,6,7,2,1]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,2,7,6,5,4,3]=>[1,2,7,6,5,4,3]=>[3,4,5,6,7,2,1]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[7,6,5,4,2,3,1]=>[[[[[[.,.],[.,.]],.],.],.],.]
[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>[6,7,5,4,2,3,1]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[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]=>[5,6,7,4,2,3,1]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[1,3,2,4,7,5,6]=>[1,3,2,4,7,6,5]=>[5,6,7,4,2,3,1]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[1,3,2,4,7,6,5]=>[1,3,2,4,7,6,5]=>[5,6,7,4,2,3,1]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>[7,6,4,5,2,3,1]=>[[[[[.,.],[.,.]],[.,.]],.],.]
[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>[6,7,4,5,2,3,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[1,3,2,5,6,4,7]=>[1,3,2,6,5,4,7]=>[7,4,5,6,2,3,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[1,3,2,5,6,7,4]=>[1,3,2,7,5,6,4]=>[4,6,5,7,2,3,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,3,2,5,7,4,6]=>[1,3,2,6,7,4,5]=>[5,4,7,6,2,3,1]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[1,3,2,5,7,6,4]=>[1,3,2,7,6,5,4]=>[4,5,6,7,2,3,1]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[1,3,2,6,4,5,7]=>[1,3,2,6,5,4,7]=>[7,4,5,6,2,3,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[1,3,2,6,4,7,5]=>[1,3,2,7,5,6,4]=>[4,6,5,7,2,3,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,3,2,6,5,4,7]=>[1,3,2,6,5,4,7]=>[7,4,5,6,2,3,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[1,3,2,6,5,7,4]=>[1,3,2,7,5,6,4]=>[4,6,5,7,2,3,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,3,2,6,7,4,5]=>[1,3,2,7,6,5,4]=>[4,5,6,7,2,3,1]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[1,3,2,6,7,5,4]=>[1,3,2,7,6,5,4]=>[4,5,6,7,2,3,1]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[1,3,2,7,4,5,6]=>[1,3,2,7,5,6,4]=>[4,6,5,7,2,3,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,3,2,7,4,6,5]=>[1,3,2,7,5,6,4]=>[4,6,5,7,2,3,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,3,2,7,5,4,6]=>[1,3,2,7,6,5,4]=>[4,5,6,7,2,3,1]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[1,3,2,7,5,6,4]=>[1,3,2,7,6,5,4]=>[4,5,6,7,2,3,1]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[1,3,2,7,6,4,5]=>[1,3,2,7,6,5,4]=>[4,5,6,7,2,3,1]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[1,3,2,7,6,5,4]=>[1,3,2,7,6,5,4]=>[4,5,6,7,2,3,1]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7]=>[7,6,5,2,3,4,1]=>[[[[[.,.],[.,[.,.]]],.],.],.]
[1,3,4,2,5,7,6]=>[1,4,3,2,5,7,6]=>[6,7,5,2,3,4,1]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[1,3,4,2,6,5,7]=>[1,4,3,2,6,5,7]=>[7,5,6,2,3,4,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[1,3,4,2,6,7,5]=>[1,4,3,2,7,6,5]=>[5,6,7,2,3,4,1]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[1,3,4,2,7,5,6]=>[1,4,3,2,7,6,5]=>[5,6,7,2,3,4,1]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[1,3,4,2,7,6,5]=>[1,4,3,2,7,6,5]=>[5,6,7,2,3,4,1]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[1,3,4,5,2,6,7]=>[1,5,3,4,2,6,7]=>[7,6,2,4,3,5,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]
[1,3,4,5,2,7,6]=>[1,5,3,4,2,7,6]=>[6,7,2,4,3,5,1]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[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]=>[2,6,5,4,3,7,1]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[1,3,4,5,7,2,6]=>[1,6,3,4,7,2,5]=>[5,2,7,4,3,6,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[1,3,4,5,7,6,2]=>[1,7,3,4,6,5,2]=>[2,5,6,4,3,7,1]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[1,3,4,6,2,5,7]=>[1,5,3,6,2,4,7]=>[7,4,2,6,3,5,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[1,3,4,6,2,7,5]=>[1,5,3,7,2,6,4]=>[4,6,2,7,3,5,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,3,4,6,5,2,7]=>[1,6,3,5,4,2,7]=>[7,2,4,5,3,6,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[1,3,4,6,5,7,2]=>[1,7,3,5,4,6,2]=>[2,6,4,5,3,7,1]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[1,3,4,6,7,2,5]=>[1,6,3,7,5,2,4]=>[4,2,5,7,3,6,1]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[1,3,4,6,7,5,2]=>[1,7,3,6,5,4,2]=>[2,4,5,6,3,7,1]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,3,4,7,2,5,6]=>[1,5,3,7,2,6,4]=>[4,6,2,7,3,5,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,3,4,7,2,6,5]=>[1,5,3,7,2,6,4]=>[4,6,2,7,3,5,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,3,4,7,5,2,6]=>[1,6,3,7,5,2,4]=>[4,2,5,7,3,6,1]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[1,3,4,7,5,6,2]=>[1,7,3,6,5,4,2]=>[2,4,5,6,3,7,1]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,3,4,7,6,2,5]=>[1,6,3,7,5,2,4]=>[4,2,5,7,3,6,1]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[1,3,4,7,6,5,2]=>[1,7,3,6,5,4,2]=>[2,4,5,6,3,7,1]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,3,5,2,4,6,7]=>[1,4,5,2,3,6,7]=>[7,6,3,2,5,4,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[1,3,5,2,4,7,6]=>[1,4,5,2,3,7,6]=>[6,7,3,2,5,4,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[1,3,5,2,6,4,7]=>[1,4,6,2,5,3,7]=>[7,3,5,2,6,4,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[1,3,5,2,6,7,4]=>[1,4,7,2,5,6,3]=>[3,6,5,2,7,4,1]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[1,3,5,2,7,4,6]=>[1,4,6,2,7,3,5]=>[5,3,7,2,6,4,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[1,3,5,2,7,6,4]=>[1,4,7,2,6,5,3]=>[3,5,6,2,7,4,1]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[1,3,5,4,2,6,7]=>[1,5,4,3,2,6,7]=>[7,6,2,3,4,5,1]=>[[[[.,.],[.,[.,[.,.]]]],.],.]
[1,3,5,4,2,7,6]=>[1,5,4,3,2,7,6]=>[6,7,2,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[1,3,5,4,6,2,7]=>[1,6,4,3,5,2,7]=>[7,2,5,3,4,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[1,3,5,4,6,7,2]=>[1,7,4,3,5,6,2]=>[2,6,5,3,4,7,1]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[1,3,5,4,7,2,6]=>[1,6,4,3,7,2,5]=>[5,2,7,3,4,6,1]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[1,3,5,4,7,6,2]=>[1,7,4,3,6,5,2]=>[2,5,6,3,4,7,1]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[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]=>[3,6,2,4,7,5,1]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[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]=>[2,6,3,4,5,7,1]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,3,5,6,7,2,4]=>[1,6,7,4,5,2,3]=>[3,2,5,4,7,6,1]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[1,3,5,6,7,4,2]=>[1,7,6,4,5,3,2]=>[2,3,5,4,6,7,1]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,3,5,7,2,4,6]=>[1,5,6,7,2,3,4]=>[4,3,2,7,6,5,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[1,3,5,7,2,6,4]=>[1,5,7,6,2,4,3]=>[3,4,2,6,7,5,1]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[1,3,5,7,4,2,6]=>[1,6,5,7,3,2,4]=>[4,2,3,7,5,6,1]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[1,3,5,7,4,6,2]=>[1,7,5,6,3,4,2]=>[2,4,3,6,5,7,1]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[1,3,5,7,6,2,4]=>[1,6,7,5,4,2,3]=>[3,2,4,5,7,6,1]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[1,3,5,7,6,4,2]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,3,6,2,4,5,7]=>[1,4,6,2,5,3,7]=>[7,3,5,2,6,4,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[1,3,6,2,4,7,5]=>[1,4,7,2,5,6,3]=>[3,6,5,2,7,4,1]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[1,3,6,2,5,4,7]=>[1,4,6,2,5,3,7]=>[7,3,5,2,6,4,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[1,3,6,2,5,7,4]=>[1,4,7,2,5,6,3]=>[3,6,5,2,7,4,1]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[1,3,6,2,7,4,5]=>[1,4,7,2,6,5,3]=>[3,5,6,2,7,4,1]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[1,3,6,2,7,5,4]=>[1,4,7,2,6,5,3]=>[3,5,6,2,7,4,1]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[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]=>[3,6,2,4,7,5,1]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[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]=>[2,6,3,4,5,7,1]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,3,6,4,7,2,5]=>[1,6,7,4,5,2,3]=>[3,2,5,4,7,6,1]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[1,3,6,4,7,5,2]=>[1,7,6,4,5,3,2]=>[2,3,5,4,6,7,1]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[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]=>[3,6,2,4,7,5,1]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[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]=>[2,6,3,4,5,7,1]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,3,6,5,7,2,4]=>[1,6,7,4,5,2,3]=>[3,2,5,4,7,6,1]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[1,3,6,5,7,4,2]=>[1,7,6,4,5,3,2]=>[2,3,5,4,6,7,1]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,3,6,7,2,4,5]=>[1,5,7,6,2,4,3]=>[3,4,2,6,7,5,1]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[1,3,6,7,2,5,4]=>[1,5,7,6,2,4,3]=>[3,4,2,6,7,5,1]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[1,3,6,7,4,2,5]=>[1,6,7,5,4,2,3]=>[3,2,4,5,7,6,1]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[1,3,6,7,4,5,2]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,3,6,7,5,2,4]=>[1,6,7,5,4,2,3]=>[3,2,4,5,7,6,1]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[1,3,6,7,5,4,2]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,3,7,2,4,5,6]=>[1,4,7,2,5,6,3]=>[3,6,5,2,7,4,1]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[1,3,7,2,4,6,5]=>[1,4,7,2,5,6,3]=>[3,6,5,2,7,4,1]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[1,3,7,2,5,4,6]=>[1,4,7,2,6,5,3]=>[3,5,6,2,7,4,1]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[1,3,7,2,5,6,4]=>[1,4,7,2,6,5,3]=>[3,5,6,2,7,4,1]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[1,3,7,2,6,4,5]=>[1,4,7,2,6,5,3]=>[3,5,6,2,7,4,1]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[1,3,7,2,6,5,4]=>[1,4,7,2,6,5,3]=>[3,5,6,2,7,4,1]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[1,3,7,4,2,5,6]=>[1,5,7,4,2,6,3]=>[3,6,2,4,7,5,1]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[1,3,7,4,2,6,5]=>[1,5,7,4,2,6,3]=>[3,6,2,4,7,5,1]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[1,3,7,4,5,2,6]=>[1,6,7,4,5,2,3]=>[3,2,5,4,7,6,1]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[1,3,7,4,5,6,2]=>[1,7,6,4,5,3,2]=>[2,3,5,4,6,7,1]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,3,7,4,6,2,5]=>[1,6,7,4,5,2,3]=>[3,2,5,4,7,6,1]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[1,3,7,4,6,5,2]=>[1,7,6,4,5,3,2]=>[2,3,5,4,6,7,1]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,3,7,5,2,4,6]=>[1,5,7,6,2,4,3]=>[3,4,2,6,7,5,1]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[1,3,7,5,2,6,4]=>[1,5,7,6,2,4,3]=>[3,4,2,6,7,5,1]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[1,3,7,5,4,2,6]=>[1,6,7,5,4,2,3]=>[3,2,4,5,7,6,1]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[1,3,7,5,4,6,2]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,3,7,5,6,2,4]=>[1,6,7,5,4,2,3]=>[3,2,4,5,7,6,1]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[1,3,7,5,6,4,2]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,3,7,6,2,4,5]=>[1,5,7,6,2,4,3]=>[3,4,2,6,7,5,1]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[1,3,7,6,2,5,4]=>[1,5,7,6,2,4,3]=>[3,4,2,6,7,5,1]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[1,3,7,6,4,2,5]=>[1,6,7,5,4,2,3]=>[3,2,4,5,7,6,1]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[1,3,7,6,4,5,2]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,3,7,6,5,2,4]=>[1,6,7,5,4,2,3]=>[3,2,4,5,7,6,1]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[1,3,7,6,5,4,2]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,4,2,3,5,6,7]=>[1,4,3,2,5,6,7]=>[7,6,5,2,3,4,1]=>[[[[[.,.],[.,[.,.]]],.],.],.]
[1,4,2,3,5,7,6]=>[1,4,3,2,5,7,6]=>[6,7,5,2,3,4,1]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[1,4,2,3,6,5,7]=>[1,4,3,2,6,5,7]=>[7,5,6,2,3,4,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[1,4,2,3,6,7,5]=>[1,4,3,2,7,6,5]=>[5,6,7,2,3,4,1]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[1,4,2,3,7,5,6]=>[1,4,3,2,7,6,5]=>[5,6,7,2,3,4,1]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[1,4,2,3,7,6,5]=>[1,4,3,2,7,6,5]=>[5,6,7,2,3,4,1]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[1,4,2,5,3,6,7]=>[1,5,3,4,2,6,7]=>[7,6,2,4,3,5,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]
[1,4,2,5,3,7,6]=>[1,5,3,4,2,7,6]=>[6,7,2,4,3,5,1]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[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]=>[2,6,5,4,3,7,1]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[1,4,2,5,7,3,6]=>[1,6,3,4,7,2,5]=>[5,2,7,4,3,6,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[1,4,2,5,7,6,3]=>[1,7,3,4,6,5,2]=>[2,5,6,4,3,7,1]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[1,4,2,6,3,5,7]=>[1,5,3,6,2,4,7]=>[7,4,2,6,3,5,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[1,4,2,6,3,7,5]=>[1,5,3,7,2,6,4]=>[4,6,2,7,3,5,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,4,2,6,5,3,7]=>[1,6,3,5,4,2,7]=>[7,2,4,5,3,6,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[1,4,2,6,5,7,3]=>[1,7,3,5,4,6,2]=>[2,6,4,5,3,7,1]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[1,4,2,6,7,3,5]=>[1,6,3,7,5,2,4]=>[4,2,5,7,3,6,1]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[1,4,2,6,7,5,3]=>[1,7,3,6,5,4,2]=>[2,4,5,6,3,7,1]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,4,2,7,3,5,6]=>[1,5,3,7,2,6,4]=>[4,6,2,7,3,5,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,4,2,7,3,6,5]=>[1,5,3,7,2,6,4]=>[4,6,2,7,3,5,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,4,2,7,5,3,6]=>[1,6,3,7,5,2,4]=>[4,2,5,7,3,6,1]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[1,4,2,7,5,6,3]=>[1,7,3,6,5,4,2]=>[2,4,5,6,3,7,1]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,4,2,7,6,3,5]=>[1,6,3,7,5,2,4]=>[4,2,5,7,3,6,1]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[1,4,2,7,6,5,3]=>[1,7,3,6,5,4,2]=>[2,4,5,6,3,7,1]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,4,3,2,5,6,7]=>[1,4,3,2,5,6,7]=>[7,6,5,2,3,4,1]=>[[[[[.,.],[.,[.,.]]],.],.],.]
[1,4,3,2,5,7,6]=>[1,4,3,2,5,7,6]=>[6,7,5,2,3,4,1]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[1,4,3,2,6,5,7]=>[1,4,3,2,6,5,7]=>[7,5,6,2,3,4,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[1,4,3,2,6,7,5]=>[1,4,3,2,7,6,5]=>[5,6,7,2,3,4,1]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[1,4,3,2,7,5,6]=>[1,4,3,2,7,6,5]=>[5,6,7,2,3,4,1]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[1,4,3,2,7,6,5]=>[1,4,3,2,7,6,5]=>[5,6,7,2,3,4,1]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[1,4,3,5,2,6,7]=>[1,5,3,4,2,6,7]=>[7,6,2,4,3,5,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]
[1,4,3,5,2,7,6]=>[1,5,3,4,2,7,6]=>[6,7,2,4,3,5,1]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[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]=>[2,6,5,4,3,7,1]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[1,4,3,5,7,2,6]=>[1,6,3,4,7,2,5]=>[5,2,7,4,3,6,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[1,4,3,5,7,6,2]=>[1,7,3,4,6,5,2]=>[2,5,6,4,3,7,1]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[1,4,3,6,2,5,7]=>[1,5,3,6,2,4,7]=>[7,4,2,6,3,5,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[1,4,3,6,2,7,5]=>[1,5,3,7,2,6,4]=>[4,6,2,7,3,5,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,4,3,6,5,2,7]=>[1,6,3,5,4,2,7]=>[7,2,4,5,3,6,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[1,4,3,6,5,7,2]=>[1,7,3,5,4,6,2]=>[2,6,4,5,3,7,1]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[1,4,3,6,7,2,5]=>[1,6,3,7,5,2,4]=>[4,2,5,7,3,6,1]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[1,4,3,6,7,5,2]=>[1,7,3,6,5,4,2]=>[2,4,5,6,3,7,1]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,4,3,7,2,5,6]=>[1,5,3,7,2,6,4]=>[4,6,2,7,3,5,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,4,3,7,2,6,5]=>[1,5,3,7,2,6,4]=>[4,6,2,7,3,5,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,4,3,7,5,2,6]=>[1,6,3,7,5,2,4]=>[4,2,5,7,3,6,1]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[1,4,3,7,5,6,2]=>[1,7,3,6,5,4,2]=>[2,4,5,6,3,7,1]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,4,3,7,6,2,5]=>[1,6,3,7,5,2,4]=>[4,2,5,7,3,6,1]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[1,4,3,7,6,5,2]=>[1,7,3,6,5,4,2]=>[2,4,5,6,3,7,1]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,4,5,2,3,6,7]=>[1,5,4,3,2,6,7]=>[7,6,2,3,4,5,1]=>[[[[.,.],[.,[.,[.,.]]]],.],.]
[1,4,5,2,3,7,6]=>[1,5,4,3,2,7,6]=>[6,7,2,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[1,4,5,2,6,3,7]=>[1,6,4,3,5,2,7]=>[7,2,5,3,4,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[1,4,5,2,6,7,3]=>[1,7,4,3,5,6,2]=>[2,6,5,3,4,7,1]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[1,4,5,2,7,3,6]=>[1,6,4,3,7,2,5]=>[5,2,7,3,4,6,1]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[1,4,5,2,7,6,3]=>[1,7,4,3,6,5,2]=>[2,5,6,3,4,7,1]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[1,4,5,3,2,6,7]=>[1,5,4,3,2,6,7]=>[7,6,2,3,4,5,1]=>[[[[.,.],[.,[.,[.,.]]]],.],.]
[1,4,5,3,2,7,6]=>[1,5,4,3,2,7,6]=>[6,7,2,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[1,4,5,3,6,2,7]=>[1,6,4,3,5,2,7]=>[7,2,5,3,4,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[1,4,5,3,6,7,2]=>[1,7,4,3,5,6,2]=>[2,6,5,3,4,7,1]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[1,4,5,3,7,2,6]=>[1,6,4,3,7,2,5]=>[5,2,7,3,4,6,1]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[1,4,5,3,7,6,2]=>[1,7,4,3,6,5,2]=>[2,5,6,3,4,7,1]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[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]=>[2,6,3,4,5,7,1]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[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]=>[2,6,3,4,5,7,1]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,4,5,6,7,2,3]=>[1,7,6,4,5,3,2]=>[2,3,5,4,6,7,1]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,4,5,6,7,3,2]=>[1,7,6,4,5,3,2]=>[2,3,5,4,6,7,1]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,4,5,7,2,3,6]=>[1,6,5,7,3,2,4]=>[4,2,3,7,5,6,1]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[1,4,5,7,2,6,3]=>[1,7,5,6,3,4,2]=>[2,4,3,6,5,7,1]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[1,4,5,7,3,2,6]=>[1,6,5,7,3,2,4]=>[4,2,3,7,5,6,1]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[1,4,5,7,3,6,2]=>[1,7,5,6,3,4,2]=>[2,4,3,6,5,7,1]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[1,4,5,7,6,2,3]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,4,5,7,6,3,2]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[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]=>[3,6,2,4,7,5,1]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[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]=>[2,6,3,4,5,7,1]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,4,6,2,7,3,5]=>[1,6,7,4,5,2,3]=>[3,2,5,4,7,6,1]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[1,4,6,2,7,5,3]=>[1,7,6,4,5,3,2]=>[2,3,5,4,6,7,1]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[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]=>[3,6,2,4,7,5,1]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[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]=>[2,6,3,4,5,7,1]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,4,6,3,7,2,5]=>[1,6,7,4,5,2,3]=>[3,2,5,4,7,6,1]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[1,4,6,3,7,5,2]=>[1,7,6,4,5,3,2]=>[2,3,5,4,6,7,1]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[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]=>[2,6,3,4,5,7,1]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[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]=>[2,6,3,4,5,7,1]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,4,6,5,7,2,3]=>[1,7,6,4,5,3,2]=>[2,3,5,4,6,7,1]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,4,6,5,7,3,2]=>[1,7,6,4,5,3,2]=>[2,3,5,4,6,7,1]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,4,6,7,2,3,5]=>[1,6,7,5,4,2,3]=>[3,2,4,5,7,6,1]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[1,4,6,7,2,5,3]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,4,6,7,3,2,5]=>[1,6,7,5,4,2,3]=>[3,2,4,5,7,6,1]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[1,4,6,7,3,5,2]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,4,6,7,5,2,3]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,4,6,7,5,3,2]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,4,7,2,3,5,6]=>[1,5,7,4,2,6,3]=>[3,6,2,4,7,5,1]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[1,4,7,2,3,6,5]=>[1,5,7,4,2,6,3]=>[3,6,2,4,7,5,1]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[1,4,7,2,5,3,6]=>[1,6,7,4,5,2,3]=>[3,2,5,4,7,6,1]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[1,4,7,2,5,6,3]=>[1,7,6,4,5,3,2]=>[2,3,5,4,6,7,1]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,4,7,2,6,3,5]=>[1,6,7,4,5,2,3]=>[3,2,5,4,7,6,1]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[1,4,7,2,6,5,3]=>[1,7,6,4,5,3,2]=>[2,3,5,4,6,7,1]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,4,7,3,2,5,6]=>[1,5,7,4,2,6,3]=>[3,6,2,4,7,5,1]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[1,4,7,3,2,6,5]=>[1,5,7,4,2,6,3]=>[3,6,2,4,7,5,1]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[1,4,7,3,5,2,6]=>[1,6,7,4,5,2,3]=>[3,2,5,4,7,6,1]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[1,4,7,3,5,6,2]=>[1,7,6,4,5,3,2]=>[2,3,5,4,6,7,1]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,4,7,3,6,2,5]=>[1,6,7,4,5,2,3]=>[3,2,5,4,7,6,1]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[1,4,7,3,6,5,2]=>[1,7,6,4,5,3,2]=>[2,3,5,4,6,7,1]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,4,7,5,2,3,6]=>[1,6,7,5,4,2,3]=>[3,2,4,5,7,6,1]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[1,4,7,5,2,6,3]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,4,7,5,3,2,6]=>[1,6,7,5,4,2,3]=>[3,2,4,5,7,6,1]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[1,4,7,5,3,6,2]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,4,7,5,6,2,3]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,4,7,5,6,3,2]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,4,7,6,2,3,5]=>[1,6,7,5,4,2,3]=>[3,2,4,5,7,6,1]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[1,4,7,6,2,5,3]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,4,7,6,3,2,5]=>[1,6,7,5,4,2,3]=>[3,2,4,5,7,6,1]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[1,4,7,6,3,5,2]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,4,7,6,5,2,3]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,4,7,6,5,3,2]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,5,2,3,4,6,7]=>[1,5,3,4,2,6,7]=>[7,6,2,4,3,5,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]
[1,5,2,3,4,7,6]=>[1,5,3,4,2,7,6]=>[6,7,2,4,3,5,1]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[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]=>[2,6,5,4,3,7,1]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[1,5,2,3,7,4,6]=>[1,6,3,4,7,2,5]=>[5,2,7,4,3,6,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[1,5,2,3,7,6,4]=>[1,7,3,4,6,5,2]=>[2,5,6,4,3,7,1]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[1,5,2,4,3,6,7]=>[1,5,3,4,2,6,7]=>[7,6,2,4,3,5,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]
[1,5,2,4,3,7,6]=>[1,5,3,4,2,7,6]=>[6,7,2,4,3,5,1]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[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]=>[2,6,5,4,3,7,1]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[1,5,2,4,7,3,6]=>[1,6,3,4,7,2,5]=>[5,2,7,4,3,6,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[1,5,2,4,7,6,3]=>[1,7,3,4,6,5,2]=>[2,5,6,4,3,7,1]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[1,5,2,6,3,4,7]=>[1,6,3,5,4,2,7]=>[7,2,4,5,3,6,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[1,5,2,6,3,7,4]=>[1,7,3,5,4,6,2]=>[2,6,4,5,3,7,1]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[1,5,2,6,4,3,7]=>[1,6,3,5,4,2,7]=>[7,2,4,5,3,6,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[1,5,2,6,4,7,3]=>[1,7,3,5,4,6,2]=>[2,6,4,5,3,7,1]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[1,5,2,6,7,3,4]=>[1,7,3,6,5,4,2]=>[2,4,5,6,3,7,1]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,5,2,6,7,4,3]=>[1,7,3,6,5,4,2]=>[2,4,5,6,3,7,1]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,5,2,7,3,4,6]=>[1,6,3,7,5,2,4]=>[4,2,5,7,3,6,1]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[1,5,2,7,3,6,4]=>[1,7,3,6,5,4,2]=>[2,4,5,6,3,7,1]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,5,2,7,4,3,6]=>[1,6,3,7,5,2,4]=>[4,2,5,7,3,6,1]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[1,5,2,7,4,6,3]=>[1,7,3,6,5,4,2]=>[2,4,5,6,3,7,1]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,5,2,7,6,3,4]=>[1,7,3,6,5,4,2]=>[2,4,5,6,3,7,1]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,5,2,7,6,4,3]=>[1,7,3,6,5,4,2]=>[2,4,5,6,3,7,1]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,5,3,2,4,6,7]=>[1,5,4,3,2,6,7]=>[7,6,2,3,4,5,1]=>[[[[.,.],[.,[.,[.,.]]]],.],.]
[1,5,3,2,4,7,6]=>[1,5,4,3,2,7,6]=>[6,7,2,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[1,5,3,2,6,4,7]=>[1,6,4,3,5,2,7]=>[7,2,5,3,4,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[1,5,3,2,6,7,4]=>[1,7,4,3,5,6,2]=>[2,6,5,3,4,7,1]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[1,5,3,2,7,4,6]=>[1,6,4,3,7,2,5]=>[5,2,7,3,4,6,1]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[1,5,3,2,7,6,4]=>[1,7,4,3,6,5,2]=>[2,5,6,3,4,7,1]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[1,5,3,4,2,6,7]=>[1,5,4,3,2,6,7]=>[7,6,2,3,4,5,1]=>[[[[.,.],[.,[.,[.,.]]]],.],.]
[1,5,3,4,2,7,6]=>[1,5,4,3,2,7,6]=>[6,7,2,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[1,5,3,4,6,2,7]=>[1,6,4,3,5,2,7]=>[7,2,5,3,4,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[1,5,3,4,6,7,2]=>[1,7,4,3,5,6,2]=>[2,6,5,3,4,7,1]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[1,5,3,4,7,2,6]=>[1,6,4,3,7,2,5]=>[5,2,7,3,4,6,1]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[1,5,3,4,7,6,2]=>[1,7,4,3,6,5,2]=>[2,5,6,3,4,7,1]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[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]=>[2,6,3,4,5,7,1]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[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]=>[2,6,3,4,5,7,1]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,5,3,6,7,2,4]=>[1,7,6,4,5,3,2]=>[2,3,5,4,6,7,1]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,5,3,6,7,4,2]=>[1,7,6,4,5,3,2]=>[2,3,5,4,6,7,1]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,5,3,7,2,4,6]=>[1,6,5,7,3,2,4]=>[4,2,3,7,5,6,1]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[1,5,3,7,2,6,4]=>[1,7,5,6,3,4,2]=>[2,4,3,6,5,7,1]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[1,5,3,7,4,2,6]=>[1,6,5,7,3,2,4]=>[4,2,3,7,5,6,1]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[1,5,3,7,4,6,2]=>[1,7,5,6,3,4,2]=>[2,4,3,6,5,7,1]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[1,5,3,7,6,2,4]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,5,3,7,6,4,2]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,5,4,2,3,6,7]=>[1,5,4,3,2,6,7]=>[7,6,2,3,4,5,1]=>[[[[.,.],[.,[.,[.,.]]]],.],.]
[1,5,4,2,3,7,6]=>[1,5,4,3,2,7,6]=>[6,7,2,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[1,5,4,2,6,3,7]=>[1,6,4,3,5,2,7]=>[7,2,5,3,4,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[1,5,4,2,6,7,3]=>[1,7,4,3,5,6,2]=>[2,6,5,3,4,7,1]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[1,5,4,2,7,3,6]=>[1,6,4,3,7,2,5]=>[5,2,7,3,4,6,1]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[1,5,4,2,7,6,3]=>[1,7,4,3,6,5,2]=>[2,5,6,3,4,7,1]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[1,5,4,3,2,6,7]=>[1,5,4,3,2,6,7]=>[7,6,2,3,4,5,1]=>[[[[.,.],[.,[.,[.,.]]]],.],.]
[1,5,4,3,2,7,6]=>[1,5,4,3,2,7,6]=>[6,7,2,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[1,5,4,3,6,2,7]=>[1,6,4,3,5,2,7]=>[7,2,5,3,4,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[1,5,4,3,6,7,2]=>[1,7,4,3,5,6,2]=>[2,6,5,3,4,7,1]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[1,5,4,3,7,2,6]=>[1,6,4,3,7,2,5]=>[5,2,7,3,4,6,1]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[1,5,4,3,7,6,2]=>[1,7,4,3,6,5,2]=>[2,5,6,3,4,7,1]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[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]=>[2,6,3,4,5,7,1]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[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]=>[2,6,3,4,5,7,1]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,5,4,6,7,2,3]=>[1,7,6,4,5,3,2]=>[2,3,5,4,6,7,1]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,5,4,6,7,3,2]=>[1,7,6,4,5,3,2]=>[2,3,5,4,6,7,1]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,5,4,7,2,3,6]=>[1,6,5,7,3,2,4]=>[4,2,3,7,5,6,1]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[1,5,4,7,2,6,3]=>[1,7,5,6,3,4,2]=>[2,4,3,6,5,7,1]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[1,5,4,7,3,2,6]=>[1,6,5,7,3,2,4]=>[4,2,3,7,5,6,1]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[1,5,4,7,3,6,2]=>[1,7,5,6,3,4,2]=>[2,4,3,6,5,7,1]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[1,5,4,7,6,2,3]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,5,4,7,6,3,2]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[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]=>[2,6,3,4,5,7,1]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[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]=>[2,6,3,4,5,7,1]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,5,6,2,7,3,4]=>[1,7,6,4,5,3,2]=>[2,3,5,4,6,7,1]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,5,6,2,7,4,3]=>[1,7,6,4,5,3,2]=>[2,3,5,4,6,7,1]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[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]=>[2,6,3,4,5,7,1]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[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]=>[2,6,3,4,5,7,1]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,5,6,3,7,2,4]=>[1,7,6,4,5,3,2]=>[2,3,5,4,6,7,1]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,5,6,3,7,4,2]=>[1,7,6,4,5,3,2]=>[2,3,5,4,6,7,1]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[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]=>[2,6,3,4,5,7,1]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[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]=>[2,6,3,4,5,7,1]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,5,6,4,7,2,3]=>[1,7,6,4,5,3,2]=>[2,3,5,4,6,7,1]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,5,6,4,7,3,2]=>[1,7,6,4,5,3,2]=>[2,3,5,4,6,7,1]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,5,6,7,2,3,4]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,5,6,7,2,4,3]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,5,6,7,3,2,4]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,5,6,7,3,4,2]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,5,6,7,4,2,3]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,5,6,7,4,3,2]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,5,7,2,3,4,6]=>[1,6,7,4,5,2,3]=>[3,2,5,4,7,6,1]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[1,5,7,2,3,6,4]=>[1,7,6,4,5,3,2]=>[2,3,5,4,6,7,1]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,5,7,2,4,3,6]=>[1,6,7,4,5,2,3]=>[3,2,5,4,7,6,1]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[1,5,7,2,4,6,3]=>[1,7,6,4,5,3,2]=>[2,3,5,4,6,7,1]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,5,7,2,6,3,4]=>[1,7,6,4,5,3,2]=>[2,3,5,4,6,7,1]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,5,7,2,6,4,3]=>[1,7,6,4,5,3,2]=>[2,3,5,4,6,7,1]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,5,7,3,2,4,6]=>[1,6,7,5,4,2,3]=>[3,2,4,5,7,6,1]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[1,5,7,3,2,6,4]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,5,7,3,4,2,6]=>[1,6,7,5,4,2,3]=>[3,2,4,5,7,6,1]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[1,5,7,3,4,6,2]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,5,7,3,6,2,4]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,5,7,3,6,4,2]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,5,7,4,2,3,6]=>[1,6,7,5,4,2,3]=>[3,2,4,5,7,6,1]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[1,5,7,4,2,6,3]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,5,7,4,3,2,6]=>[1,6,7,5,4,2,3]=>[3,2,4,5,7,6,1]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[1,5,7,4,3,6,2]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,5,7,4,6,2,3]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,5,7,4,6,3,2]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,5,7,6,2,3,4]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,5,7,6,2,4,3]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,5,7,6,3,2,4]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,5,7,6,3,4,2]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,5,7,6,4,2,3]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,5,7,6,4,3,2]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[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]=>[2,6,5,4,3,7,1]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[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]=>[2,6,5,4,3,7,1]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[1,6,2,3,7,4,5]=>[1,7,3,4,6,5,2]=>[2,5,6,4,3,7,1]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[1,6,2,3,7,5,4]=>[1,7,3,4,6,5,2]=>[2,5,6,4,3,7,1]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[1,6,2,4,3,5,7]=>[1,6,3,5,4,2,7]=>[7,2,4,5,3,6,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[1,6,2,4,3,7,5]=>[1,7,3,5,4,6,2]=>[2,6,4,5,3,7,1]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[1,6,2,4,5,3,7]=>[1,6,3,5,4,2,7]=>[7,2,4,5,3,6,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[1,6,2,4,5,7,3]=>[1,7,3,5,4,6,2]=>[2,6,4,5,3,7,1]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[1,6,2,4,7,3,5]=>[1,7,3,6,5,4,2]=>[2,4,5,6,3,7,1]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,6,2,4,7,5,3]=>[1,7,3,6,5,4,2]=>[2,4,5,6,3,7,1]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,6,2,5,3,4,7]=>[1,6,3,5,4,2,7]=>[7,2,4,5,3,6,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[1,6,2,5,3,7,4]=>[1,7,3,5,4,6,2]=>[2,6,4,5,3,7,1]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[1,6,2,5,4,3,7]=>[1,6,3,5,4,2,7]=>[7,2,4,5,3,6,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[1,6,2,5,4,7,3]=>[1,7,3,5,4,6,2]=>[2,6,4,5,3,7,1]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[1,6,2,5,7,3,4]=>[1,7,3,6,5,4,2]=>[2,4,5,6,3,7,1]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,6,2,5,7,4,3]=>[1,7,3,6,5,4,2]=>[2,4,5,6,3,7,1]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,6,2,7,3,4,5]=>[1,7,3,6,5,4,2]=>[2,4,5,6,3,7,1]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,6,2,7,3,5,4]=>[1,7,3,6,5,4,2]=>[2,4,5,6,3,7,1]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,6,2,7,4,3,5]=>[1,7,3,6,5,4,2]=>[2,4,5,6,3,7,1]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,6,2,7,4,5,3]=>[1,7,3,6,5,4,2]=>[2,4,5,6,3,7,1]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,6,2,7,5,3,4]=>[1,7,3,6,5,4,2]=>[2,4,5,6,3,7,1]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,6,2,7,5,4,3]=>[1,7,3,6,5,4,2]=>[2,4,5,6,3,7,1]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,6,3,2,4,5,7]=>[1,6,4,3,5,2,7]=>[7,2,5,3,4,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[1,6,3,2,4,7,5]=>[1,7,4,3,5,6,2]=>[2,6,5,3,4,7,1]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[1,6,3,2,5,4,7]=>[1,6,4,3,5,2,7]=>[7,2,5,3,4,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[1,6,3,2,5,7,4]=>[1,7,4,3,5,6,2]=>[2,6,5,3,4,7,1]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[1,6,3,2,7,4,5]=>[1,7,4,3,6,5,2]=>[2,5,6,3,4,7,1]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[1,6,3,2,7,5,4]=>[1,7,4,3,6,5,2]=>[2,5,6,3,4,7,1]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[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]=>[2,6,3,4,5,7,1]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[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]=>[2,6,3,4,5,7,1]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,6,3,4,7,2,5]=>[1,7,6,4,5,3,2]=>[2,3,5,4,6,7,1]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,6,3,4,7,5,2]=>[1,7,6,4,5,3,2]=>[2,3,5,4,6,7,1]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[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]=>[2,6,3,4,5,7,1]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[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]=>[2,6,3,4,5,7,1]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,6,3,5,7,2,4]=>[1,7,6,4,5,3,2]=>[2,3,5,4,6,7,1]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,6,3,5,7,4,2]=>[1,7,6,4,5,3,2]=>[2,3,5,4,6,7,1]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,6,3,7,2,4,5]=>[1,7,5,6,3,4,2]=>[2,4,3,6,5,7,1]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[1,6,3,7,2,5,4]=>[1,7,5,6,3,4,2]=>[2,4,3,6,5,7,1]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[1,6,3,7,4,2,5]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,6,3,7,4,5,2]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,6,3,7,5,2,4]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,6,3,7,5,4,2]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[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]=>[2,6,3,4,5,7,1]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[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]=>[2,6,3,4,5,7,1]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,6,4,2,7,3,5]=>[1,7,6,4,5,3,2]=>[2,3,5,4,6,7,1]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,6,4,2,7,5,3]=>[1,7,6,4,5,3,2]=>[2,3,5,4,6,7,1]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[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]=>[2,6,3,4,5,7,1]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[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]=>[2,6,3,4,5,7,1]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,6,4,3,7,2,5]=>[1,7,6,4,5,3,2]=>[2,3,5,4,6,7,1]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,6,4,3,7,5,2]=>[1,7,6,4,5,3,2]=>[2,3,5,4,6,7,1]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[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]=>[2,6,3,4,5,7,1]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[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]=>[2,6,3,4,5,7,1]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,6,4,5,7,2,3]=>[1,7,6,4,5,3,2]=>[2,3,5,4,6,7,1]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,6,4,5,7,3,2]=>[1,7,6,4,5,3,2]=>[2,3,5,4,6,7,1]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,6,4,7,2,3,5]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,6,4,7,2,5,3]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,6,4,7,3,2,5]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,6,4,7,3,5,2]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,6,4,7,5,2,3]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,6,4,7,5,3,2]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[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]=>[2,6,3,4,5,7,1]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[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]=>[2,6,3,4,5,7,1]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,6,5,2,7,3,4]=>[1,7,6,4,5,3,2]=>[2,3,5,4,6,7,1]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,6,5,2,7,4,3]=>[1,7,6,4,5,3,2]=>[2,3,5,4,6,7,1]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[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]=>[2,6,3,4,5,7,1]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[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]=>[2,6,3,4,5,7,1]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,6,5,3,7,2,4]=>[1,7,6,4,5,3,2]=>[2,3,5,4,6,7,1]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,6,5,3,7,4,2]=>[1,7,6,4,5,3,2]=>[2,3,5,4,6,7,1]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[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]=>[2,6,3,4,5,7,1]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[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]=>[2,6,3,4,5,7,1]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,6,5,4,7,2,3]=>[1,7,6,4,5,3,2]=>[2,3,5,4,6,7,1]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,6,5,4,7,3,2]=>[1,7,6,4,5,3,2]=>[2,3,5,4,6,7,1]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,6,5,7,2,3,4]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,6,5,7,2,4,3]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,6,5,7,3,2,4]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,6,5,7,3,4,2]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,6,5,7,4,2,3]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,6,5,7,4,3,2]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,6,7,2,3,4,5]=>[1,7,6,4,5,3,2]=>[2,3,5,4,6,7,1]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,6,7,2,3,5,4]=>[1,7,6,4,5,3,2]=>[2,3,5,4,6,7,1]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,6,7,2,4,3,5]=>[1,7,6,4,5,3,2]=>[2,3,5,4,6,7,1]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,6,7,2,4,5,3]=>[1,7,6,4,5,3,2]=>[2,3,5,4,6,7,1]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,6,7,2,5,3,4]=>[1,7,6,4,5,3,2]=>[2,3,5,4,6,7,1]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,6,7,2,5,4,3]=>[1,7,6,4,5,3,2]=>[2,3,5,4,6,7,1]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,6,7,3,2,4,5]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,6,7,3,2,5,4]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,6,7,3,4,2,5]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,6,7,3,4,5,2]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,6,7,3,5,2,4]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,6,7,3,5,4,2]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,6,7,4,2,3,5]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,6,7,4,2,5,3]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,6,7,4,3,2,5]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,6,7,4,3,5,2]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,6,7,4,5,2,3]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,6,7,4,5,3,2]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,6,7,5,2,3,4]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,6,7,5,2,4,3]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,6,7,5,3,2,4]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,6,7,5,3,4,2]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,6,7,5,4,2,3]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,6,7,5,4,3,2]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,2,3,4,5,6]=>[1,7,3,4,5,6,2]=>[2,6,5,4,3,7,1]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[1,7,2,3,4,6,5]=>[1,7,3,4,5,6,2]=>[2,6,5,4,3,7,1]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[1,7,2,3,5,4,6]=>[1,7,3,4,6,5,2]=>[2,5,6,4,3,7,1]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[1,7,2,3,5,6,4]=>[1,7,3,4,6,5,2]=>[2,5,6,4,3,7,1]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[1,7,2,3,6,4,5]=>[1,7,3,4,6,5,2]=>[2,5,6,4,3,7,1]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[1,7,2,3,6,5,4]=>[1,7,3,4,6,5,2]=>[2,5,6,4,3,7,1]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[1,7,2,4,3,5,6]=>[1,7,3,5,4,6,2]=>[2,6,4,5,3,7,1]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[1,7,2,4,3,6,5]=>[1,7,3,5,4,6,2]=>[2,6,4,5,3,7,1]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[1,7,2,4,5,3,6]=>[1,7,3,6,5,4,2]=>[2,4,5,6,3,7,1]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,7,2,4,5,6,3]=>[1,7,3,6,5,4,2]=>[2,4,5,6,3,7,1]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,7,2,4,6,3,5]=>[1,7,3,6,5,4,2]=>[2,4,5,6,3,7,1]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,7,2,4,6,5,3]=>[1,7,3,6,5,4,2]=>[2,4,5,6,3,7,1]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,7,2,5,3,4,6]=>[1,7,3,6,5,4,2]=>[2,4,5,6,3,7,1]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,7,2,5,3,6,4]=>[1,7,3,6,5,4,2]=>[2,4,5,6,3,7,1]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,7,2,5,4,3,6]=>[1,7,3,6,5,4,2]=>[2,4,5,6,3,7,1]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,7,2,5,4,6,3]=>[1,7,3,6,5,4,2]=>[2,4,5,6,3,7,1]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,7,2,5,6,3,4]=>[1,7,3,6,5,4,2]=>[2,4,5,6,3,7,1]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,7,2,5,6,4,3]=>[1,7,3,6,5,4,2]=>[2,4,5,6,3,7,1]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,7,2,6,3,4,5]=>[1,7,3,6,5,4,2]=>[2,4,5,6,3,7,1]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,7,2,6,3,5,4]=>[1,7,3,6,5,4,2]=>[2,4,5,6,3,7,1]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,7,2,6,4,3,5]=>[1,7,3,6,5,4,2]=>[2,4,5,6,3,7,1]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,7,2,6,4,5,3]=>[1,7,3,6,5,4,2]=>[2,4,5,6,3,7,1]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,7,2,6,5,3,4]=>[1,7,3,6,5,4,2]=>[2,4,5,6,3,7,1]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,7,2,6,5,4,3]=>[1,7,3,6,5,4,2]=>[2,4,5,6,3,7,1]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,7,3,2,4,5,6]=>[1,7,4,3,5,6,2]=>[2,6,5,3,4,7,1]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[1,7,3,2,4,6,5]=>[1,7,4,3,5,6,2]=>[2,6,5,3,4,7,1]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[1,7,3,2,5,4,6]=>[1,7,4,3,6,5,2]=>[2,5,6,3,4,7,1]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[1,7,3,2,5,6,4]=>[1,7,4,3,6,5,2]=>[2,5,6,3,4,7,1]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[1,7,3,2,6,4,5]=>[1,7,4,3,6,5,2]=>[2,5,6,3,4,7,1]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[1,7,3,2,6,5,4]=>[1,7,4,3,6,5,2]=>[2,5,6,3,4,7,1]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[1,7,3,4,2,5,6]=>[1,7,5,4,3,6,2]=>[2,6,3,4,5,7,1]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,7,3,4,2,6,5]=>[1,7,5,4,3,6,2]=>[2,6,3,4,5,7,1]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,7,3,4,5,2,6]=>[1,7,6,4,5,3,2]=>[2,3,5,4,6,7,1]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,7,3,4,5,6,2]=>[1,7,6,4,5,3,2]=>[2,3,5,4,6,7,1]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,7,3,4,6,2,5]=>[1,7,6,4,5,3,2]=>[2,3,5,4,6,7,1]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,7,3,4,6,5,2]=>[1,7,6,4,5,3,2]=>[2,3,5,4,6,7,1]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,7,3,5,2,4,6]=>[1,7,5,6,3,4,2]=>[2,4,3,6,5,7,1]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[1,7,3,5,2,6,4]=>[1,7,5,6,3,4,2]=>[2,4,3,6,5,7,1]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[1,7,3,5,4,2,6]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,3,5,4,6,2]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,3,5,6,2,4]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,3,5,6,4,2]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,3,6,2,4,5]=>[1,7,5,6,3,4,2]=>[2,4,3,6,5,7,1]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[1,7,3,6,2,5,4]=>[1,7,5,6,3,4,2]=>[2,4,3,6,5,7,1]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[1,7,3,6,4,2,5]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,3,6,4,5,2]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,3,6,5,2,4]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,3,6,5,4,2]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,4,2,3,5,6]=>[1,7,5,4,3,6,2]=>[2,6,3,4,5,7,1]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,7,4,2,3,6,5]=>[1,7,5,4,3,6,2]=>[2,6,3,4,5,7,1]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,7,4,2,5,3,6]=>[1,7,6,4,5,3,2]=>[2,3,5,4,6,7,1]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,7,4,2,5,6,3]=>[1,7,6,4,5,3,2]=>[2,3,5,4,6,7,1]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,7,4,2,6,3,5]=>[1,7,6,4,5,3,2]=>[2,3,5,4,6,7,1]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,7,4,2,6,5,3]=>[1,7,6,4,5,3,2]=>[2,3,5,4,6,7,1]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,7,4,3,2,5,6]=>[1,7,5,4,3,6,2]=>[2,6,3,4,5,7,1]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,7,4,3,2,6,5]=>[1,7,5,4,3,6,2]=>[2,6,3,4,5,7,1]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,7,4,3,5,2,6]=>[1,7,6,4,5,3,2]=>[2,3,5,4,6,7,1]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,7,4,3,5,6,2]=>[1,7,6,4,5,3,2]=>[2,3,5,4,6,7,1]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,7,4,3,6,2,5]=>[1,7,6,4,5,3,2]=>[2,3,5,4,6,7,1]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,7,4,3,6,5,2]=>[1,7,6,4,5,3,2]=>[2,3,5,4,6,7,1]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,7,4,5,2,3,6]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,4,5,2,6,3]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,4,5,3,2,6]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,4,5,3,6,2]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,4,5,6,2,3]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,4,5,6,3,2]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,4,6,2,3,5]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,4,6,2,5,3]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,4,6,3,2,5]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,4,6,3,5,2]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,4,6,5,2,3]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,4,6,5,3,2]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,5,2,3,4,6]=>[1,7,6,4,5,3,2]=>[2,3,5,4,6,7,1]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,7,5,2,3,6,4]=>[1,7,6,4,5,3,2]=>[2,3,5,4,6,7,1]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,7,5,2,4,3,6]=>[1,7,6,4,5,3,2]=>[2,3,5,4,6,7,1]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,7,5,2,4,6,3]=>[1,7,6,4,5,3,2]=>[2,3,5,4,6,7,1]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,7,5,2,6,3,4]=>[1,7,6,4,5,3,2]=>[2,3,5,4,6,7,1]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,7,5,2,6,4,3]=>[1,7,6,4,5,3,2]=>[2,3,5,4,6,7,1]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,7,5,3,2,4,6]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,5,3,2,6,4]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,5,3,4,2,6]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,5,3,4,6,2]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,5,3,6,2,4]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,5,3,6,4,2]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,5,4,2,3,6]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,5,4,2,6,3]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,5,4,3,2,6]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,5,4,3,6,2]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,5,4,6,2,3]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,5,4,6,3,2]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,5,6,2,3,4]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,5,6,2,4,3]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,5,6,3,2,4]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,5,6,3,4,2]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,5,6,4,2,3]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,5,6,4,3,2]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,6,2,3,4,5]=>[1,7,6,4,5,3,2]=>[2,3,5,4,6,7,1]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,7,6,2,3,5,4]=>[1,7,6,4,5,3,2]=>[2,3,5,4,6,7,1]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,7,6,2,4,3,5]=>[1,7,6,4,5,3,2]=>[2,3,5,4,6,7,1]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,7,6,2,4,5,3]=>[1,7,6,4,5,3,2]=>[2,3,5,4,6,7,1]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,7,6,2,5,3,4]=>[1,7,6,4,5,3,2]=>[2,3,5,4,6,7,1]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,7,6,2,5,4,3]=>[1,7,6,4,5,3,2]=>[2,3,5,4,6,7,1]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,7,6,3,2,4,5]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,6,3,2,5,4]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,6,3,4,2,5]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,6,3,4,5,2]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,6,3,5,2,4]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,6,3,5,4,2]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,6,4,2,3,5]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,6,4,2,5,3]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,6,4,3,2,5]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,6,4,3,5,2]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,6,4,5,2,3]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,6,5,2,3,4]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,6,5,2,4,3]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,6,5,3,2,4]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,6,5,3,4,2]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,6,5,4,2,3]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7]=>[7,6,5,4,3,1,2]=>[[[[[[.,[.,.]],.],.],.],.],.]
[2,1,3,4,5,7,6]=>[2,1,3,4,5,7,6]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[2,1,3,4,6,5,7]=>[2,1,3,4,6,5,7]=>[7,5,6,4,3,1,2]=>[[[[[.,[.,.]],.],.],[.,.]],.]
[2,1,3,4,6,7,5]=>[2,1,3,4,7,6,5]=>[5,6,7,4,3,1,2]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[2,1,3,4,7,5,6]=>[2,1,3,4,7,6,5]=>[5,6,7,4,3,1,2]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[2,1,3,4,7,6,5]=>[2,1,3,4,7,6,5]=>[5,6,7,4,3,1,2]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[2,1,3,5,4,6,7]=>[2,1,3,5,4,6,7]=>[7,6,4,5,3,1,2]=>[[[[[.,[.,.]],.],[.,.]],.],.]
[2,1,3,5,4,7,6]=>[2,1,3,5,4,7,6]=>[6,7,4,5,3,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[2,1,3,5,6,4,7]=>[2,1,3,6,5,4,7]=>[7,4,5,6,3,1,2]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[2,1,3,5,6,7,4]=>[2,1,3,7,5,6,4]=>[4,6,5,7,3,1,2]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[2,1,3,5,7,4,6]=>[2,1,3,6,7,4,5]=>[5,4,7,6,3,1,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[2,1,3,5,7,6,4]=>[2,1,3,7,6,5,4]=>[4,5,6,7,3,1,2]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[2,1,3,6,4,5,7]=>[2,1,3,6,5,4,7]=>[7,4,5,6,3,1,2]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[2,1,3,6,4,7,5]=>[2,1,3,7,5,6,4]=>[4,6,5,7,3,1,2]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[2,1,3,6,5,4,7]=>[2,1,3,6,5,4,7]=>[7,4,5,6,3,1,2]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[2,1,3,6,5,7,4]=>[2,1,3,7,5,6,4]=>[4,6,5,7,3,1,2]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[2,1,3,6,7,4,5]=>[2,1,3,7,6,5,4]=>[4,5,6,7,3,1,2]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[2,1,3,6,7,5,4]=>[2,1,3,7,6,5,4]=>[4,5,6,7,3,1,2]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[2,1,3,7,4,5,6]=>[2,1,3,7,5,6,4]=>[4,6,5,7,3,1,2]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[2,1,3,7,4,6,5]=>[2,1,3,7,5,6,4]=>[4,6,5,7,3,1,2]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[2,1,3,7,5,4,6]=>[2,1,3,7,6,5,4]=>[4,5,6,7,3,1,2]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[2,1,3,7,5,6,4]=>[2,1,3,7,6,5,4]=>[4,5,6,7,3,1,2]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[2,1,3,7,6,4,5]=>[2,1,3,7,6,5,4]=>[4,5,6,7,3,1,2]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[2,1,3,7,6,5,4]=>[2,1,3,7,6,5,4]=>[4,5,6,7,3,1,2]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[2,1,4,3,5,6,7]=>[2,1,4,3,5,6,7]=>[7,6,5,3,4,1,2]=>[[[[[.,[.,.]],[.,.]],.],.],.]
[2,1,4,3,5,7,6]=>[2,1,4,3,5,7,6]=>[6,7,5,3,4,1,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[2,1,4,3,6,5,7]=>[2,1,4,3,6,5,7]=>[7,5,6,3,4,1,2]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[2,1,4,3,6,7,5]=>[2,1,4,3,7,6,5]=>[5,6,7,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[2,1,4,3,7,5,6]=>[2,1,4,3,7,6,5]=>[5,6,7,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[2,1,4,3,7,6,5]=>[2,1,4,3,7,6,5]=>[5,6,7,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[2,1,4,5,3,6,7]=>[2,1,5,4,3,6,7]=>[7,6,3,4,5,1,2]=>[[[[.,[.,.]],[.,[.,.]]],.],.]
[2,1,4,5,3,7,6]=>[2,1,5,4,3,7,6]=>[6,7,3,4,5,1,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[2,1,4,5,6,3,7]=>[2,1,6,4,5,3,7]=>[7,3,5,4,6,1,2]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[2,1,4,5,6,7,3]=>[2,1,7,4,5,6,3]=>[3,6,5,4,7,1,2]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[2,1,4,5,7,3,6]=>[2,1,6,4,7,3,5]=>[5,3,7,4,6,1,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[2,1,4,5,7,6,3]=>[2,1,7,4,6,5,3]=>[3,5,6,4,7,1,2]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[2,1,4,6,3,5,7]=>[2,1,5,6,3,4,7]=>[7,4,3,6,5,1,2]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[2,1,4,6,3,7,5]=>[2,1,5,7,3,6,4]=>[4,6,3,7,5,1,2]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[2,1,4,6,5,3,7]=>[2,1,6,5,4,3,7]=>[7,3,4,5,6,1,2]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[2,1,4,6,5,7,3]=>[2,1,7,5,4,6,3]=>[3,6,4,5,7,1,2]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[2,1,4,6,7,3,5]=>[2,1,6,7,5,3,4]=>[4,3,5,7,6,1,2]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[2,1,4,6,7,5,3]=>[2,1,7,6,5,4,3]=>[3,4,5,6,7,1,2]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,1,4,7,3,5,6]=>[2,1,5,7,3,6,4]=>[4,6,3,7,5,1,2]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[2,1,4,7,3,6,5]=>[2,1,5,7,3,6,4]=>[4,6,3,7,5,1,2]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[2,1,4,7,5,3,6]=>[2,1,6,7,5,3,4]=>[4,3,5,7,6,1,2]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[2,1,4,7,5,6,3]=>[2,1,7,6,5,4,3]=>[3,4,5,6,7,1,2]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,1,4,7,6,3,5]=>[2,1,6,7,5,3,4]=>[4,3,5,7,6,1,2]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[2,1,4,7,6,5,3]=>[2,1,7,6,5,4,3]=>[3,4,5,6,7,1,2]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,1,5,3,4,6,7]=>[2,1,5,4,3,6,7]=>[7,6,3,4,5,1,2]=>[[[[.,[.,.]],[.,[.,.]]],.],.]
[2,1,5,3,4,7,6]=>[2,1,5,4,3,7,6]=>[6,7,3,4,5,1,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[2,1,5,3,6,4,7]=>[2,1,6,4,5,3,7]=>[7,3,5,4,6,1,2]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[2,1,5,3,6,7,4]=>[2,1,7,4,5,6,3]=>[3,6,5,4,7,1,2]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[2,1,5,3,7,4,6]=>[2,1,6,4,7,3,5]=>[5,3,7,4,6,1,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[2,1,5,3,7,6,4]=>[2,1,7,4,6,5,3]=>[3,5,6,4,7,1,2]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[2,1,5,4,3,6,7]=>[2,1,5,4,3,6,7]=>[7,6,3,4,5,1,2]=>[[[[.,[.,.]],[.,[.,.]]],.],.]
[2,1,5,4,3,7,6]=>[2,1,5,4,3,7,6]=>[6,7,3,4,5,1,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[2,1,5,4,6,3,7]=>[2,1,6,4,5,3,7]=>[7,3,5,4,6,1,2]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[2,1,5,4,6,7,3]=>[2,1,7,4,5,6,3]=>[3,6,5,4,7,1,2]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[2,1,5,4,7,3,6]=>[2,1,6,4,7,3,5]=>[5,3,7,4,6,1,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[2,1,5,4,7,6,3]=>[2,1,7,4,6,5,3]=>[3,5,6,4,7,1,2]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[2,1,5,6,3,4,7]=>[2,1,6,5,4,3,7]=>[7,3,4,5,6,1,2]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[2,1,5,6,3,7,4]=>[2,1,7,5,4,6,3]=>[3,6,4,5,7,1,2]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[2,1,5,6,4,3,7]=>[2,1,6,5,4,3,7]=>[7,3,4,5,6,1,2]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[2,1,5,6,4,7,3]=>[2,1,7,5,4,6,3]=>[3,6,4,5,7,1,2]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[2,1,5,6,7,3,4]=>[2,1,7,6,5,4,3]=>[3,4,5,6,7,1,2]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,1,5,6,7,4,3]=>[2,1,7,6,5,4,3]=>[3,4,5,6,7,1,2]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,1,5,7,3,4,6]=>[2,1,6,7,5,3,4]=>[4,3,5,7,6,1,2]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[2,1,5,7,3,6,4]=>[2,1,7,6,5,4,3]=>[3,4,5,6,7,1,2]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,1,5,7,4,3,6]=>[2,1,6,7,5,3,4]=>[4,3,5,7,6,1,2]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[2,1,5,7,4,6,3]=>[2,1,7,6,5,4,3]=>[3,4,5,6,7,1,2]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,1,5,7,6,3,4]=>[2,1,7,6,5,4,3]=>[3,4,5,6,7,1,2]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,1,5,7,6,4,3]=>[2,1,7,6,5,4,3]=>[3,4,5,6,7,1,2]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,1,6,3,4,5,7]=>[2,1,6,4,5,3,7]=>[7,3,5,4,6,1,2]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[2,1,6,3,4,7,5]=>[2,1,7,4,5,6,3]=>[3,6,5,4,7,1,2]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[2,1,6,3,5,4,7]=>[2,1,6,4,5,3,7]=>[7,3,5,4,6,1,2]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[2,1,6,3,5,7,4]=>[2,1,7,4,5,6,3]=>[3,6,5,4,7,1,2]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[2,1,6,3,7,4,5]=>[2,1,7,4,6,5,3]=>[3,5,6,4,7,1,2]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[2,1,6,3,7,5,4]=>[2,1,7,4,6,5,3]=>[3,5,6,4,7,1,2]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[2,1,6,4,3,5,7]=>[2,1,6,5,4,3,7]=>[7,3,4,5,6,1,2]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[2,1,6,4,3,7,5]=>[2,1,7,5,4,6,3]=>[3,6,4,5,7,1,2]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[2,1,6,4,5,3,7]=>[2,1,6,5,4,3,7]=>[7,3,4,5,6,1,2]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[2,1,6,4,5,7,3]=>[2,1,7,5,4,6,3]=>[3,6,4,5,7,1,2]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[2,1,6,4,7,3,5]=>[2,1,7,6,5,4,3]=>[3,4,5,6,7,1,2]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,1,6,4,7,5,3]=>[2,1,7,6,5,4,3]=>[3,4,5,6,7,1,2]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,1,6,5,3,4,7]=>[2,1,6,5,4,3,7]=>[7,3,4,5,6,1,2]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[2,1,6,5,3,7,4]=>[2,1,7,5,4,6,3]=>[3,6,4,5,7,1,2]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[2,1,6,5,4,3,7]=>[2,1,6,5,4,3,7]=>[7,3,4,5,6,1,2]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[2,1,6,5,4,7,3]=>[2,1,7,5,4,6,3]=>[3,6,4,5,7,1,2]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[2,1,6,5,7,3,4]=>[2,1,7,6,5,4,3]=>[3,4,5,6,7,1,2]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,1,6,5,7,4,3]=>[2,1,7,6,5,4,3]=>[3,4,5,6,7,1,2]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,1,6,7,3,4,5]=>[2,1,7,6,5,4,3]=>[3,4,5,6,7,1,2]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,1,6,7,3,5,4]=>[2,1,7,6,5,4,3]=>[3,4,5,6,7,1,2]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,1,6,7,4,3,5]=>[2,1,7,6,5,4,3]=>[3,4,5,6,7,1,2]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,1,6,7,4,5,3]=>[2,1,7,6,5,4,3]=>[3,4,5,6,7,1,2]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,1,6,7,5,3,4]=>[2,1,7,6,5,4,3]=>[3,4,5,6,7,1,2]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,1,6,7,5,4,3]=>[2,1,7,6,5,4,3]=>[3,4,5,6,7,1,2]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,1,7,3,4,5,6]=>[2,1,7,4,5,6,3]=>[3,6,5,4,7,1,2]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[2,1,7,3,4,6,5]=>[2,1,7,4,5,6,3]=>[3,6,5,4,7,1,2]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[2,1,7,3,5,4,6]=>[2,1,7,4,6,5,3]=>[3,5,6,4,7,1,2]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[2,1,7,3,5,6,4]=>[2,1,7,4,6,5,3]=>[3,5,6,4,7,1,2]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[2,1,7,3,6,4,5]=>[2,1,7,4,6,5,3]=>[3,5,6,4,7,1,2]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[2,1,7,3,6,5,4]=>[2,1,7,4,6,5,3]=>[3,5,6,4,7,1,2]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[2,1,7,4,3,5,6]=>[2,1,7,5,4,6,3]=>[3,6,4,5,7,1,2]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[2,1,7,4,3,6,5]=>[2,1,7,5,4,6,3]=>[3,6,4,5,7,1,2]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[2,1,7,4,5,3,6]=>[2,1,7,6,5,4,3]=>[3,4,5,6,7,1,2]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,1,7,4,5,6,3]=>[2,1,7,6,5,4,3]=>[3,4,5,6,7,1,2]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,1,7,4,6,3,5]=>[2,1,7,6,5,4,3]=>[3,4,5,6,7,1,2]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,1,7,4,6,5,3]=>[2,1,7,6,5,4,3]=>[3,4,5,6,7,1,2]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,1,7,5,3,4,6]=>[2,1,7,6,5,4,3]=>[3,4,5,6,7,1,2]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,1,7,5,3,6,4]=>[2,1,7,6,5,4,3]=>[3,4,5,6,7,1,2]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,1,7,5,4,3,6]=>[2,1,7,6,5,4,3]=>[3,4,5,6,7,1,2]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,1,7,5,4,6,3]=>[2,1,7,6,5,4,3]=>[3,4,5,6,7,1,2]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,1,7,5,6,3,4]=>[2,1,7,6,5,4,3]=>[3,4,5,6,7,1,2]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,1,7,5,6,4,3]=>[2,1,7,6,5,4,3]=>[3,4,5,6,7,1,2]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,1,7,6,3,4,5]=>[2,1,7,6,5,4,3]=>[3,4,5,6,7,1,2]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,1,7,6,3,5,4]=>[2,1,7,6,5,4,3]=>[3,4,5,6,7,1,2]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,1,7,6,4,3,5]=>[2,1,7,6,5,4,3]=>[3,4,5,6,7,1,2]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,1,7,6,4,5,3]=>[2,1,7,6,5,4,3]=>[3,4,5,6,7,1,2]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,1,7,6,5,3,4]=>[2,1,7,6,5,4,3]=>[3,4,5,6,7,1,2]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[3,4,5,6,7,1,2]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,3,1,4,5,6,7]=>[3,2,1,4,5,6,7]=>[7,6,5,4,1,2,3]=>[[[[[.,[.,[.,.]]],.],.],.],.]
[2,3,1,4,5,7,6]=>[3,2,1,4,5,7,6]=>[6,7,5,4,1,2,3]=>[[[[.,[.,[.,.]]],.],.],[.,.]]
[2,3,1,4,6,5,7]=>[3,2,1,4,6,5,7]=>[7,5,6,4,1,2,3]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
[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]=>[7,6,4,5,1,2,3]=>[[[[.,[.,[.,.]]],[.,.]],.],.]
[2,3,1,5,4,7,6]=>[3,2,1,5,4,7,6]=>[6,7,4,5,1,2,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[2,3,1,5,6,4,7]=>[3,2,1,6,5,4,7]=>[7,4,5,6,1,2,3]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[2,3,1,5,6,7,4]=>[3,2,1,7,5,6,4]=>[4,6,5,7,1,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[2,3,1,5,7,4,6]=>[3,2,1,6,7,4,5]=>[5,4,7,6,1,2,3]=>[[[.,[.,[.,.]]],.],[[.,.],.]]
[2,3,1,5,7,6,4]=>[3,2,1,7,6,5,4]=>[4,5,6,7,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[2,3,1,6,4,5,7]=>[3,2,1,6,5,4,7]=>[7,4,5,6,1,2,3]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[2,3,1,6,4,7,5]=>[3,2,1,7,5,6,4]=>[4,6,5,7,1,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[2,3,1,6,5,4,7]=>[3,2,1,6,5,4,7]=>[7,4,5,6,1,2,3]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[2,3,1,6,5,7,4]=>[3,2,1,7,5,6,4]=>[4,6,5,7,1,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[2,3,1,6,7,4,5]=>[3,2,1,7,6,5,4]=>[4,5,6,7,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[2,3,1,6,7,5,4]=>[3,2,1,7,6,5,4]=>[4,5,6,7,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[2,3,1,7,4,5,6]=>[3,2,1,7,5,6,4]=>[4,6,5,7,1,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[2,3,1,7,4,6,5]=>[3,2,1,7,5,6,4]=>[4,6,5,7,1,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[2,3,1,7,5,4,6]=>[3,2,1,7,6,5,4]=>[4,5,6,7,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[2,3,1,7,5,6,4]=>[3,2,1,7,6,5,4]=>[4,5,6,7,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[2,3,1,7,6,4,5]=>[3,2,1,7,6,5,4]=>[4,5,6,7,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[2,3,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[4,5,6,7,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[2,3,4,1,5,6,7]=>[4,2,3,1,5,6,7]=>[7,6,5,1,3,2,4]=>[[[[.,[[.,.],[.,.]]],.],.],.]
[2,3,4,1,5,7,6]=>[4,2,3,1,5,7,6]=>[6,7,5,1,3,2,4]=>[[[.,[[.,.],[.,.]]],.],[.,.]]
[2,3,4,1,6,5,7]=>[4,2,3,1,6,5,7]=>[7,5,6,1,3,2,4]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[2,3,4,1,6,7,5]=>[4,2,3,1,7,6,5]=>[5,6,7,1,3,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[2,3,4,1,7,5,6]=>[4,2,3,1,7,6,5]=>[5,6,7,1,3,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[2,3,4,1,7,6,5]=>[4,2,3,1,7,6,5]=>[5,6,7,1,3,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[2,3,4,5,1,6,7]=>[5,2,3,4,1,6,7]=>[7,6,1,4,3,2,5]=>[[[.,[[[.,.],.],[.,.]]],.],.]
[2,3,4,5,1,7,6]=>[5,2,3,4,1,7,6]=>[6,7,1,4,3,2,5]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[2,3,4,5,6,1,7]=>[6,2,3,4,5,1,7]=>[7,1,5,4,3,2,6]=>[[.,[[[[.,.],.],.],[.,.]]],.]
[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]=>[5,1,7,4,3,2,6]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,3,4,5,7,6,1]=>[7,2,3,4,6,5,1]=>[1,5,6,4,3,2,7]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[2,3,4,6,1,5,7]=>[5,2,3,6,1,4,7]=>[7,4,1,6,3,2,5]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[2,3,4,6,1,7,5]=>[5,2,3,7,1,6,4]=>[4,6,1,7,3,2,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[2,3,4,6,5,1,7]=>[6,2,3,5,4,1,7]=>[7,1,4,5,3,2,6]=>[[.,[[[.,.],.],[.,[.,.]]]],.]
[2,3,4,6,5,7,1]=>[7,2,3,5,4,6,1]=>[1,6,4,5,3,2,7]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[2,3,4,6,7,1,5]=>[6,2,3,7,5,1,4]=>[4,1,5,7,3,2,6]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[2,3,4,6,7,5,1]=>[7,2,3,6,5,4,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[2,3,4,7,1,5,6]=>[5,2,3,7,1,6,4]=>[4,6,1,7,3,2,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[2,3,4,7,1,6,5]=>[5,2,3,7,1,6,4]=>[4,6,1,7,3,2,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[2,3,4,7,5,1,6]=>[6,2,3,7,5,1,4]=>[4,1,5,7,3,2,6]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[2,3,4,7,5,6,1]=>[7,2,3,6,5,4,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[2,3,4,7,6,1,5]=>[6,2,3,7,5,1,4]=>[4,1,5,7,3,2,6]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[2,3,4,7,6,5,1]=>[7,2,3,6,5,4,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[2,3,5,1,4,6,7]=>[4,2,5,1,3,6,7]=>[7,6,3,1,5,2,4]=>[[[[.,[.,.]],[[.,.],.]],.],.]
[2,3,5,1,4,7,6]=>[4,2,5,1,3,7,6]=>[6,7,3,1,5,2,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[2,3,5,1,6,4,7]=>[4,2,6,1,5,3,7]=>[7,3,5,1,6,2,4]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[2,3,5,1,6,7,4]=>[4,2,7,1,5,6,3]=>[3,6,5,1,7,2,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[2,3,5,1,7,4,6]=>[4,2,6,1,7,3,5]=>[5,3,7,1,6,2,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[2,3,5,1,7,6,4]=>[4,2,7,1,6,5,3]=>[3,5,6,1,7,2,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[2,3,5,4,1,6,7]=>[5,2,4,3,1,6,7]=>[7,6,1,3,4,2,5]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[2,3,5,4,1,7,6]=>[5,2,4,3,1,7,6]=>[6,7,1,3,4,2,5]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[2,3,5,4,6,1,7]=>[6,2,4,3,5,1,7]=>[7,1,5,3,4,2,6]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[2,3,5,4,6,7,1]=>[7,2,4,3,5,6,1]=>[1,6,5,3,4,2,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[2,3,5,4,7,1,6]=>[6,2,4,3,7,1,5]=>[5,1,7,3,4,2,6]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[2,3,5,4,7,6,1]=>[7,2,4,3,6,5,1]=>[1,5,6,3,4,2,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[2,3,5,6,1,4,7]=>[5,2,6,4,1,3,7]=>[7,3,1,4,6,2,5]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[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]=>[7,1,3,4,5,2,6]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[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]=>[3,1,5,4,7,2,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[2,3,5,6,7,4,1]=>[7,2,6,4,5,3,1]=>[1,3,5,4,6,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[2,3,5,7,1,4,6]=>[5,2,6,7,1,3,4]=>[4,3,1,7,6,2,5]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[2,3,5,7,1,6,4]=>[5,2,7,6,1,4,3]=>[3,4,1,6,7,2,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[2,3,5,7,4,1,6]=>[6,2,5,7,3,1,4]=>[4,1,3,7,5,2,6]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[2,3,5,7,4,6,1]=>[7,2,5,6,3,4,1]=>[1,4,3,6,5,2,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[2,3,5,7,6,1,4]=>[6,2,7,5,4,1,3]=>[3,1,4,5,7,2,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[2,3,5,7,6,4,1]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[2,3,6,1,4,5,7]=>[4,2,6,1,5,3,7]=>[7,3,5,1,6,2,4]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[2,3,6,1,4,7,5]=>[4,2,7,1,5,6,3]=>[3,6,5,1,7,2,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[2,3,6,1,5,4,7]=>[4,2,6,1,5,3,7]=>[7,3,5,1,6,2,4]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[2,3,6,1,5,7,4]=>[4,2,7,1,5,6,3]=>[3,6,5,1,7,2,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[2,3,6,1,7,4,5]=>[4,2,7,1,6,5,3]=>[3,5,6,1,7,2,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[2,3,6,1,7,5,4]=>[4,2,7,1,6,5,3]=>[3,5,6,1,7,2,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[2,3,6,4,1,5,7]=>[5,2,6,4,1,3,7]=>[7,3,1,4,6,2,5]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[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]=>[7,1,3,4,5,2,6]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[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]=>[3,1,5,4,7,2,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[2,3,6,4,7,5,1]=>[7,2,6,4,5,3,1]=>[1,3,5,4,6,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[2,3,6,5,1,4,7]=>[5,2,6,4,1,3,7]=>[7,3,1,4,6,2,5]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[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]=>[7,1,3,4,5,2,6]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[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]=>[3,1,5,4,7,2,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[2,3,6,5,7,4,1]=>[7,2,6,4,5,3,1]=>[1,3,5,4,6,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[2,3,6,7,1,4,5]=>[5,2,7,6,1,4,3]=>[3,4,1,6,7,2,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[2,3,6,7,1,5,4]=>[5,2,7,6,1,4,3]=>[3,4,1,6,7,2,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[2,3,6,7,4,1,5]=>[6,2,7,5,4,1,3]=>[3,1,4,5,7,2,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[2,3,6,7,4,5,1]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[2,3,6,7,5,1,4]=>[6,2,7,5,4,1,3]=>[3,1,4,5,7,2,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[2,3,6,7,5,4,1]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[2,3,7,1,4,5,6]=>[4,2,7,1,5,6,3]=>[3,6,5,1,7,2,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[2,3,7,1,4,6,5]=>[4,2,7,1,5,6,3]=>[3,6,5,1,7,2,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[2,3,7,1,5,4,6]=>[4,2,7,1,6,5,3]=>[3,5,6,1,7,2,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[2,3,7,1,5,6,4]=>[4,2,7,1,6,5,3]=>[3,5,6,1,7,2,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[2,3,7,1,6,4,5]=>[4,2,7,1,6,5,3]=>[3,5,6,1,7,2,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[2,3,7,1,6,5,4]=>[4,2,7,1,6,5,3]=>[3,5,6,1,7,2,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[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]=>[3,1,5,4,7,2,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[2,3,7,4,5,6,1]=>[7,2,6,4,5,3,1]=>[1,3,5,4,6,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[2,3,7,4,6,1,5]=>[6,2,7,4,5,1,3]=>[3,1,5,4,7,2,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[2,3,7,4,6,5,1]=>[7,2,6,4,5,3,1]=>[1,3,5,4,6,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[2,3,7,5,1,4,6]=>[5,2,7,6,1,4,3]=>[3,4,1,6,7,2,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[2,3,7,5,1,6,4]=>[5,2,7,6,1,4,3]=>[3,4,1,6,7,2,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[2,3,7,5,4,1,6]=>[6,2,7,5,4,1,3]=>[3,1,4,5,7,2,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[2,3,7,5,4,6,1]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[2,3,7,5,6,1,4]=>[6,2,7,5,4,1,3]=>[3,1,4,5,7,2,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[2,3,7,5,6,4,1]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[2,3,7,6,1,4,5]=>[5,2,7,6,1,4,3]=>[3,4,1,6,7,2,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[2,3,7,6,1,5,4]=>[5,2,7,6,1,4,3]=>[3,4,1,6,7,2,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[2,3,7,6,4,1,5]=>[6,2,7,5,4,1,3]=>[3,1,4,5,7,2,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[2,3,7,6,4,5,1]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[2,3,7,6,5,1,4]=>[6,2,7,5,4,1,3]=>[3,1,4,5,7,2,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[2,3,7,6,5,4,1]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[2,4,1,3,5,6,7]=>[3,4,1,2,5,6,7]=>[7,6,5,2,1,4,3]=>[[[[[.,.],[[.,.],.]],.],.],.]
[2,4,1,3,5,7,6]=>[3,4,1,2,5,7,6]=>[6,7,5,2,1,4,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[2,4,1,3,6,5,7]=>[3,4,1,2,6,5,7]=>[7,5,6,2,1,4,3]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[2,4,1,3,6,7,5]=>[3,4,1,2,7,6,5]=>[5,6,7,2,1,4,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[2,4,1,3,7,5,6]=>[3,4,1,2,7,6,5]=>[5,6,7,2,1,4,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[2,4,1,3,7,6,5]=>[3,4,1,2,7,6,5]=>[5,6,7,2,1,4,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[2,4,1,5,3,6,7]=>[3,5,1,4,2,6,7]=>[7,6,2,4,1,5,3]=>[[[[.,.],[[.,.],[.,.]]],.],.]
[2,4,1,5,3,7,6]=>[3,5,1,4,2,7,6]=>[6,7,2,4,1,5,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[2,4,1,5,6,3,7]=>[3,6,1,4,5,2,7]=>[7,2,5,4,1,6,3]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[2,4,1,5,6,7,3]=>[3,7,1,4,5,6,2]=>[2,6,5,4,1,7,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[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]=>[2,5,6,4,1,7,3]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[2,4,1,6,3,5,7]=>[3,5,1,6,2,4,7]=>[7,4,2,6,1,5,3]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[2,4,1,6,3,7,5]=>[3,5,1,7,2,6,4]=>[4,6,2,7,1,5,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,4,1,6,5,3,7]=>[3,6,1,5,4,2,7]=>[7,2,4,5,1,6,3]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[2,4,1,6,5,7,3]=>[3,7,1,5,4,6,2]=>[2,6,4,5,1,7,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,4,1,6,7,3,5]=>[3,6,1,7,5,2,4]=>[4,2,5,7,1,6,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[2,4,1,6,7,5,3]=>[3,7,1,6,5,4,2]=>[2,4,5,6,1,7,3]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,4,1,7,3,5,6]=>[3,5,1,7,2,6,4]=>[4,6,2,7,1,5,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,4,1,7,3,6,5]=>[3,5,1,7,2,6,4]=>[4,6,2,7,1,5,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,4,1,7,5,3,6]=>[3,6,1,7,5,2,4]=>[4,2,5,7,1,6,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[2,4,1,7,5,6,3]=>[3,7,1,6,5,4,2]=>[2,4,5,6,1,7,3]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,4,1,7,6,3,5]=>[3,6,1,7,5,2,4]=>[4,2,5,7,1,6,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[2,4,1,7,6,5,3]=>[3,7,1,6,5,4,2]=>[2,4,5,6,1,7,3]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,4,3,1,5,6,7]=>[4,3,2,1,5,6,7]=>[7,6,5,1,2,3,4]=>[[[[.,[.,[.,[.,.]]]],.],.],.]
[2,4,3,1,5,7,6]=>[4,3,2,1,5,7,6]=>[6,7,5,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],.],[.,.]]
[2,4,3,1,6,5,7]=>[4,3,2,1,6,5,7]=>[7,5,6,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[2,4,3,1,6,7,5]=>[4,3,2,1,7,6,5]=>[5,6,7,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[2,4,3,1,7,5,6]=>[4,3,2,1,7,6,5]=>[5,6,7,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[2,4,3,1,7,6,5]=>[4,3,2,1,7,6,5]=>[5,6,7,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[2,4,3,5,1,6,7]=>[5,3,2,4,1,6,7]=>[7,6,1,4,2,3,5]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[2,4,3,5,1,7,6]=>[5,3,2,4,1,7,6]=>[6,7,1,4,2,3,5]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[2,4,3,5,6,1,7]=>[6,3,2,4,5,1,7]=>[7,1,5,4,2,3,6]=>[[.,[[[.,[.,.]],.],[.,.]]],.]
[2,4,3,5,6,7,1]=>[7,3,2,4,5,6,1]=>[1,6,5,4,2,3,7]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[2,4,3,5,7,1,6]=>[6,3,2,4,7,1,5]=>[5,1,7,4,2,3,6]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[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]=>[7,4,1,6,2,3,5]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[2,4,3,6,1,7,5]=>[5,3,2,7,1,6,4]=>[4,6,1,7,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[2,4,3,6,5,1,7]=>[6,3,2,5,4,1,7]=>[7,1,4,5,2,3,6]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[2,4,3,6,5,7,1]=>[7,3,2,5,4,6,1]=>[1,6,4,5,2,3,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[2,4,3,6,7,1,5]=>[6,3,2,7,5,1,4]=>[4,1,5,7,2,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[2,4,3,6,7,5,1]=>[7,3,2,6,5,4,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[2,4,3,7,1,5,6]=>[5,3,2,7,1,6,4]=>[4,6,1,7,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[2,4,3,7,1,6,5]=>[5,3,2,7,1,6,4]=>[4,6,1,7,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[2,4,3,7,5,1,6]=>[6,3,2,7,5,1,4]=>[4,1,5,7,2,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[2,4,3,7,5,6,1]=>[7,3,2,6,5,4,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[2,4,3,7,6,1,5]=>[6,3,2,7,5,1,4]=>[4,1,5,7,2,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[2,4,3,7,6,5,1]=>[7,3,2,6,5,4,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[2,4,5,1,3,6,7]=>[4,5,3,1,2,6,7]=>[7,6,2,1,3,5,4]=>[[[[.,.],[.,[[.,.],.]]],.],.]
[2,4,5,1,3,7,6]=>[4,5,3,1,2,7,6]=>[6,7,2,1,3,5,4]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[2,4,5,1,6,3,7]=>[4,6,3,1,5,2,7]=>[7,2,5,1,3,6,4]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[2,4,5,1,6,7,3]=>[4,7,3,1,5,6,2]=>[2,6,5,1,3,7,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[2,4,5,1,7,3,6]=>[4,6,3,1,7,2,5]=>[5,2,7,1,3,6,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[2,4,5,1,7,6,3]=>[4,7,3,1,6,5,2]=>[2,5,6,1,3,7,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[2,4,5,3,1,6,7]=>[5,4,3,2,1,6,7]=>[7,6,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[2,4,5,3,1,7,6]=>[5,4,3,2,1,7,6]=>[6,7,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[2,4,5,3,6,1,7]=>[6,4,3,2,5,1,7]=>[7,1,5,2,3,4,6]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[2,4,5,3,6,7,1]=>[7,4,3,2,5,6,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[2,4,5,3,7,1,6]=>[6,4,3,2,7,1,5]=>[5,1,7,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[2,4,5,3,7,6,1]=>[7,4,3,2,6,5,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[2,4,5,6,1,3,7]=>[5,6,3,4,1,2,7]=>[7,2,1,4,3,6,5]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[2,4,5,6,1,7,3]=>[5,7,3,4,1,6,2]=>[2,6,1,4,3,7,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,4,5,6,3,1,7]=>[6,5,3,4,2,1,7]=>[7,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[2,4,5,6,3,7,1]=>[7,5,3,4,2,6,1]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[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]=>[4,2,1,7,3,6,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[2,4,5,7,1,6,3]=>[5,7,3,6,1,4,2]=>[2,4,1,6,3,7,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[2,4,5,7,3,1,6]=>[6,5,3,7,2,1,4]=>[4,1,2,7,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[2,4,5,7,3,6,1]=>[7,5,3,6,2,4,1]=>[1,4,2,6,3,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[2,4,5,7,6,1,3]=>[6,7,3,5,4,1,2]=>[2,1,4,5,3,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[2,4,5,7,6,3,1]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[2,4,6,1,3,5,7]=>[4,5,6,1,2,3,7]=>[7,3,2,1,6,5,4]=>[[[[.,.],.],[[[.,.],.],.]],.]
[2,4,6,1,3,7,5]=>[4,5,7,1,2,6,3]=>[3,6,2,1,7,5,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[2,4,6,1,5,3,7]=>[4,6,5,1,3,2,7]=>[7,2,3,1,5,6,4]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[2,4,6,1,5,7,3]=>[4,7,5,1,3,6,2]=>[2,6,3,1,5,7,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[2,4,6,1,7,3,5]=>[4,6,7,1,5,2,3]=>[3,2,5,1,7,6,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[2,4,6,1,7,5,3]=>[4,7,6,1,5,3,2]=>[2,3,5,1,6,7,4]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[2,4,6,3,1,5,7]=>[5,4,6,2,1,3,7]=>[7,3,1,2,6,4,5]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[2,4,6,3,1,7,5]=>[5,4,7,2,1,6,3]=>[3,6,1,2,7,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[2,4,6,3,5,1,7]=>[6,4,5,2,3,1,7]=>[7,1,3,2,5,4,6]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[2,4,6,3,5,7,1]=>[7,4,5,2,3,6,1]=>[1,6,3,2,5,4,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[2,4,6,3,7,1,5]=>[6,4,7,2,5,1,3]=>[3,1,5,2,7,4,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[2,4,6,3,7,5,1]=>[7,4,6,2,5,3,1]=>[1,3,5,2,6,4,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[2,4,6,5,1,3,7]=>[5,6,4,3,1,2,7]=>[7,2,1,3,4,6,5]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[2,4,6,5,1,7,3]=>[5,7,4,3,1,6,2]=>[2,6,1,3,4,7,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[2,4,6,5,3,1,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[2,4,6,5,3,7,1]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[2,4,6,5,7,1,3]=>[6,7,4,3,5,1,2]=>[2,1,5,3,4,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[2,4,6,5,7,3,1]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[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]=>[2,3,1,4,6,7,5]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[2,4,6,7,3,1,5]=>[6,5,7,4,2,1,3]=>[3,1,2,4,7,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[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]=>[3,6,2,1,7,5,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[2,4,7,1,3,6,5]=>[4,5,7,1,2,6,3]=>[3,6,2,1,7,5,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[2,4,7,1,5,3,6]=>[4,6,7,1,5,2,3]=>[3,2,5,1,7,6,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[2,4,7,1,5,6,3]=>[4,7,6,1,5,3,2]=>[2,3,5,1,6,7,4]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[2,4,7,1,6,3,5]=>[4,6,7,1,5,2,3]=>[3,2,5,1,7,6,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[2,4,7,1,6,5,3]=>[4,7,6,1,5,3,2]=>[2,3,5,1,6,7,4]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[2,4,7,3,1,5,6]=>[5,4,7,2,1,6,3]=>[3,6,1,2,7,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[2,4,7,3,1,6,5]=>[5,4,7,2,1,6,3]=>[3,6,1,2,7,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[2,4,7,3,5,1,6]=>[6,4,7,2,5,1,3]=>[3,1,5,2,7,4,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[2,4,7,3,5,6,1]=>[7,4,6,2,5,3,1]=>[1,3,5,2,6,4,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[2,4,7,3,6,1,5]=>[6,4,7,2,5,1,3]=>[3,1,5,2,7,4,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[2,4,7,3,6,5,1]=>[7,4,6,2,5,3,1]=>[1,3,5,2,6,4,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[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]=>[2,3,1,4,6,7,5]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[2,4,7,5,3,1,6]=>[6,5,7,4,2,1,3]=>[3,1,2,4,7,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[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]=>[2,3,1,4,6,7,5]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[2,4,7,6,3,1,5]=>[6,5,7,4,2,1,3]=>[3,1,2,4,7,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[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]=>[7,6,2,4,1,5,3]=>[[[[.,.],[[.,.],[.,.]]],.],.]
[2,5,1,3,4,7,6]=>[3,5,1,4,2,7,6]=>[6,7,2,4,1,5,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[2,5,1,3,6,4,7]=>[3,6,1,4,5,2,7]=>[7,2,5,4,1,6,3]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[2,5,1,3,6,7,4]=>[3,7,1,4,5,6,2]=>[2,6,5,4,1,7,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[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]=>[2,5,6,4,1,7,3]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[2,5,1,4,3,6,7]=>[3,5,1,4,2,6,7]=>[7,6,2,4,1,5,3]=>[[[[.,.],[[.,.],[.,.]]],.],.]
[2,5,1,4,3,7,6]=>[3,5,1,4,2,7,6]=>[6,7,2,4,1,5,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[2,5,1,4,6,3,7]=>[3,6,1,4,5,2,7]=>[7,2,5,4,1,6,3]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[2,5,1,4,6,7,3]=>[3,7,1,4,5,6,2]=>[2,6,5,4,1,7,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[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]=>[2,5,6,4,1,7,3]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[2,5,1,6,3,4,7]=>[3,6,1,5,4,2,7]=>[7,2,4,5,1,6,3]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[2,5,1,6,3,7,4]=>[3,7,1,5,4,6,2]=>[2,6,4,5,1,7,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,5,1,6,4,3,7]=>[3,6,1,5,4,2,7]=>[7,2,4,5,1,6,3]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[2,5,1,6,4,7,3]=>[3,7,1,5,4,6,2]=>[2,6,4,5,1,7,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,5,1,6,7,3,4]=>[3,7,1,6,5,4,2]=>[2,4,5,6,1,7,3]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,5,1,6,7,4,3]=>[3,7,1,6,5,4,2]=>[2,4,5,6,1,7,3]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,5,1,7,3,4,6]=>[3,6,1,7,5,2,4]=>[4,2,5,7,1,6,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[2,5,1,7,3,6,4]=>[3,7,1,6,5,4,2]=>[2,4,5,6,1,7,3]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,5,1,7,4,3,6]=>[3,6,1,7,5,2,4]=>[4,2,5,7,1,6,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[2,5,1,7,4,6,3]=>[3,7,1,6,5,4,2]=>[2,4,5,6,1,7,3]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,5,1,7,6,3,4]=>[3,7,1,6,5,4,2]=>[2,4,5,6,1,7,3]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,5,1,7,6,4,3]=>[3,7,1,6,5,4,2]=>[2,4,5,6,1,7,3]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,5,3,1,4,6,7]=>[4,5,3,1,2,6,7]=>[7,6,2,1,3,5,4]=>[[[[.,.],[.,[[.,.],.]]],.],.]
[2,5,3,1,4,7,6]=>[4,5,3,1,2,7,6]=>[6,7,2,1,3,5,4]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[2,5,3,1,6,4,7]=>[4,6,3,1,5,2,7]=>[7,2,5,1,3,6,4]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[2,5,3,1,6,7,4]=>[4,7,3,1,5,6,2]=>[2,6,5,1,3,7,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[2,5,3,1,7,4,6]=>[4,6,3,1,7,2,5]=>[5,2,7,1,3,6,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[2,5,3,1,7,6,4]=>[4,7,3,1,6,5,2]=>[2,5,6,1,3,7,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[2,5,3,4,1,6,7]=>[5,4,3,2,1,6,7]=>[7,6,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[2,5,3,4,1,7,6]=>[5,4,3,2,1,7,6]=>[6,7,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[2,5,3,4,6,1,7]=>[6,4,3,2,5,1,7]=>[7,1,5,2,3,4,6]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[2,5,3,4,6,7,1]=>[7,4,3,2,5,6,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[2,5,3,4,7,1,6]=>[6,4,3,2,7,1,5]=>[5,1,7,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[2,5,3,4,7,6,1]=>[7,4,3,2,6,5,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[2,5,3,6,1,4,7]=>[5,6,3,4,1,2,7]=>[7,2,1,4,3,6,5]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[2,5,3,6,1,7,4]=>[5,7,3,4,1,6,2]=>[2,6,1,4,3,7,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,5,3,6,4,1,7]=>[6,5,3,4,2,1,7]=>[7,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[2,5,3,6,4,7,1]=>[7,5,3,4,2,6,1]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[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]=>[4,2,1,7,3,6,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[2,5,3,7,1,6,4]=>[5,7,3,6,1,4,2]=>[2,4,1,6,3,7,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[2,5,3,7,4,1,6]=>[6,5,3,7,2,1,4]=>[4,1,2,7,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[2,5,3,7,4,6,1]=>[7,5,3,6,2,4,1]=>[1,4,2,6,3,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[2,5,3,7,6,1,4]=>[6,7,3,5,4,1,2]=>[2,1,4,5,3,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[2,5,3,7,6,4,1]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[2,5,4,1,3,6,7]=>[4,5,3,1,2,6,7]=>[7,6,2,1,3,5,4]=>[[[[.,.],[.,[[.,.],.]]],.],.]
[2,5,4,1,3,7,6]=>[4,5,3,1,2,7,6]=>[6,7,2,1,3,5,4]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[2,5,4,1,6,3,7]=>[4,6,3,1,5,2,7]=>[7,2,5,1,3,6,4]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[2,5,4,1,6,7,3]=>[4,7,3,1,5,6,2]=>[2,6,5,1,3,7,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[2,5,4,1,7,3,6]=>[4,6,3,1,7,2,5]=>[5,2,7,1,3,6,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[2,5,4,1,7,6,3]=>[4,7,3,1,6,5,2]=>[2,5,6,1,3,7,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[2,5,4,3,1,6,7]=>[5,4,3,2,1,6,7]=>[7,6,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[2,5,4,3,1,7,6]=>[5,4,3,2,1,7,6]=>[6,7,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[2,5,4,3,6,1,7]=>[6,4,3,2,5,1,7]=>[7,1,5,2,3,4,6]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[2,5,4,3,6,7,1]=>[7,4,3,2,5,6,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[2,5,4,3,7,1,6]=>[6,4,3,2,7,1,5]=>[5,1,7,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[2,5,4,3,7,6,1]=>[7,4,3,2,6,5,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[2,5,4,6,1,3,7]=>[5,6,3,4,1,2,7]=>[7,2,1,4,3,6,5]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[2,5,4,6,1,7,3]=>[5,7,3,4,1,6,2]=>[2,6,1,4,3,7,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,5,4,6,3,1,7]=>[6,5,3,4,2,1,7]=>[7,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[2,5,4,6,3,7,1]=>[7,5,3,4,2,6,1]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[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]=>[4,2,1,7,3,6,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[2,5,4,7,1,6,3]=>[5,7,3,6,1,4,2]=>[2,4,1,6,3,7,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[2,5,4,7,3,1,6]=>[6,5,3,7,2,1,4]=>[4,1,2,7,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[2,5,4,7,3,6,1]=>[7,5,3,6,2,4,1]=>[1,4,2,6,3,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[2,5,4,7,6,1,3]=>[6,7,3,5,4,1,2]=>[2,1,4,5,3,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[2,5,4,7,6,3,1]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[2,5,6,1,3,4,7]=>[4,6,5,1,3,2,7]=>[7,2,3,1,5,6,4]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[2,5,6,1,3,7,4]=>[4,7,5,1,3,6,2]=>[2,6,3,1,5,7,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[2,5,6,1,4,3,7]=>[4,6,5,1,3,2,7]=>[7,2,3,1,5,6,4]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[2,5,6,1,4,7,3]=>[4,7,5,1,3,6,2]=>[2,6,3,1,5,7,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[2,5,6,1,7,3,4]=>[4,7,6,1,5,3,2]=>[2,3,5,1,6,7,4]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[2,5,6,1,7,4,3]=>[4,7,6,1,5,3,2]=>[2,3,5,1,6,7,4]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[2,5,6,3,1,4,7]=>[5,6,4,3,1,2,7]=>[7,2,1,3,4,6,5]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[2,5,6,3,1,7,4]=>[5,7,4,3,1,6,2]=>[2,6,1,3,4,7,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[2,5,6,3,4,1,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[2,5,6,3,4,7,1]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[2,5,6,3,7,1,4]=>[6,7,4,3,5,1,2]=>[2,1,5,3,4,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[2,5,6,3,7,4,1]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[2,5,6,4,1,3,7]=>[5,6,4,3,1,2,7]=>[7,2,1,3,4,6,5]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[2,5,6,4,1,7,3]=>[5,7,4,3,1,6,2]=>[2,6,1,3,4,7,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[2,5,6,4,3,1,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[2,5,6,4,3,7,1]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[2,5,6,4,7,1,3]=>[6,7,4,3,5,1,2]=>[2,1,5,3,4,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[2,5,6,4,7,3,1]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[2,5,6,7,1,3,4]=>[5,7,6,4,1,3,2]=>[2,3,1,4,6,7,5]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[2,5,6,7,1,4,3]=>[5,7,6,4,1,3,2]=>[2,3,1,4,6,7,5]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[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]=>[3,2,5,1,7,6,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[2,5,7,1,3,6,4]=>[4,7,6,1,5,3,2]=>[2,3,5,1,6,7,4]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[2,5,7,1,4,3,6]=>[4,6,7,1,5,2,3]=>[3,2,5,1,7,6,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[2,5,7,1,4,6,3]=>[4,7,6,1,5,3,2]=>[2,3,5,1,6,7,4]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[2,5,7,1,6,3,4]=>[4,7,6,1,5,3,2]=>[2,3,5,1,6,7,4]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[2,5,7,1,6,4,3]=>[4,7,6,1,5,3,2]=>[2,3,5,1,6,7,4]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[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]=>[2,3,1,4,6,7,5]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[2,5,7,3,4,1,6]=>[6,5,7,4,2,1,3]=>[3,1,2,4,7,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[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]=>[2,3,1,4,6,7,5]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[2,5,7,4,3,1,6]=>[6,5,7,4,2,1,3]=>[3,1,2,4,7,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[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]=>[2,3,1,4,6,7,5]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[2,5,7,6,1,4,3]=>[5,7,6,4,1,3,2]=>[2,3,1,4,6,7,5]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[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]=>[7,2,5,4,1,6,3]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[2,6,1,3,4,7,5]=>[3,7,1,4,5,6,2]=>[2,6,5,4,1,7,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[2,6,1,3,5,4,7]=>[3,6,1,4,5,2,7]=>[7,2,5,4,1,6,3]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[2,6,1,3,5,7,4]=>[3,7,1,4,5,6,2]=>[2,6,5,4,1,7,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[2,6,1,3,7,4,5]=>[3,7,1,4,6,5,2]=>[2,5,6,4,1,7,3]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[2,6,1,3,7,5,4]=>[3,7,1,4,6,5,2]=>[2,5,6,4,1,7,3]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[2,6,1,4,3,5,7]=>[3,6,1,5,4,2,7]=>[7,2,4,5,1,6,3]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[2,6,1,4,3,7,5]=>[3,7,1,5,4,6,2]=>[2,6,4,5,1,7,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,6,1,4,5,3,7]=>[3,6,1,5,4,2,7]=>[7,2,4,5,1,6,3]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[2,6,1,4,5,7,3]=>[3,7,1,5,4,6,2]=>[2,6,4,5,1,7,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,6,1,4,7,3,5]=>[3,7,1,6,5,4,2]=>[2,4,5,6,1,7,3]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,6,1,4,7,5,3]=>[3,7,1,6,5,4,2]=>[2,4,5,6,1,7,3]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,6,1,5,3,4,7]=>[3,6,1,5,4,2,7]=>[7,2,4,5,1,6,3]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[2,6,1,5,3,7,4]=>[3,7,1,5,4,6,2]=>[2,6,4,5,1,7,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,6,1,5,4,3,7]=>[3,6,1,5,4,2,7]=>[7,2,4,5,1,6,3]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[2,6,1,5,4,7,3]=>[3,7,1,5,4,6,2]=>[2,6,4,5,1,7,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,6,1,5,7,3,4]=>[3,7,1,6,5,4,2]=>[2,4,5,6,1,7,3]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,6,1,5,7,4,3]=>[3,7,1,6,5,4,2]=>[2,4,5,6,1,7,3]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,6,1,7,3,4,5]=>[3,7,1,6,5,4,2]=>[2,4,5,6,1,7,3]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,6,1,7,3,5,4]=>[3,7,1,6,5,4,2]=>[2,4,5,6,1,7,3]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,6,1,7,4,3,5]=>[3,7,1,6,5,4,2]=>[2,4,5,6,1,7,3]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,6,1,7,4,5,3]=>[3,7,1,6,5,4,2]=>[2,4,5,6,1,7,3]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,6,1,7,5,3,4]=>[3,7,1,6,5,4,2]=>[2,4,5,6,1,7,3]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,6,1,7,5,4,3]=>[3,7,1,6,5,4,2]=>[2,4,5,6,1,7,3]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,6,3,1,4,5,7]=>[4,6,3,1,5,2,7]=>[7,2,5,1,3,6,4]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[2,6,3,1,4,7,5]=>[4,7,3,1,5,6,2]=>[2,6,5,1,3,7,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[2,6,3,1,5,4,7]=>[4,6,3,1,5,2,7]=>[7,2,5,1,3,6,4]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[2,6,3,1,5,7,4]=>[4,7,3,1,5,6,2]=>[2,6,5,1,3,7,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[2,6,3,1,7,4,5]=>[4,7,3,1,6,5,2]=>[2,5,6,1,3,7,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[2,6,3,1,7,5,4]=>[4,7,3,1,6,5,2]=>[2,5,6,1,3,7,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[2,6,3,4,1,5,7]=>[5,6,3,4,1,2,7]=>[7,2,1,4,3,6,5]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[2,6,3,4,1,7,5]=>[5,7,3,4,1,6,2]=>[2,6,1,4,3,7,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,6,3,4,5,1,7]=>[6,5,3,4,2,1,7]=>[7,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[2,6,3,4,5,7,1]=>[7,5,3,4,2,6,1]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[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]=>[7,2,1,4,3,6,5]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[2,6,3,5,1,7,4]=>[5,7,3,4,1,6,2]=>[2,6,1,4,3,7,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,6,3,5,4,1,7]=>[6,5,3,4,2,1,7]=>[7,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[2,6,3,5,4,7,1]=>[7,5,3,4,2,6,1]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[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]=>[2,4,1,6,3,7,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[2,6,3,7,1,5,4]=>[5,7,3,6,1,4,2]=>[2,4,1,6,3,7,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[2,6,3,7,4,1,5]=>[6,7,3,5,4,1,2]=>[2,1,4,5,3,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[2,6,3,7,4,5,1]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[2,6,3,7,5,1,4]=>[6,7,3,5,4,1,2]=>[2,1,4,5,3,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[2,6,3,7,5,4,1]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[2,6,4,1,3,5,7]=>[4,6,5,1,3,2,7]=>[7,2,3,1,5,6,4]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[2,6,4,1,3,7,5]=>[4,7,5,1,3,6,2]=>[2,6,3,1,5,7,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[2,6,4,1,5,3,7]=>[4,6,5,1,3,2,7]=>[7,2,3,1,5,6,4]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[2,6,4,1,5,7,3]=>[4,7,5,1,3,6,2]=>[2,6,3,1,5,7,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[2,6,4,1,7,3,5]=>[4,7,6,1,5,3,2]=>[2,3,5,1,6,7,4]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[2,6,4,1,7,5,3]=>[4,7,6,1,5,3,2]=>[2,3,5,1,6,7,4]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[2,6,4,3,1,5,7]=>[5,6,4,3,1,2,7]=>[7,2,1,3,4,6,5]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[2,6,4,3,1,7,5]=>[5,7,4,3,1,6,2]=>[2,6,1,3,4,7,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[2,6,4,3,5,1,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[2,6,4,3,5,7,1]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[2,6,4,3,7,1,5]=>[6,7,4,3,5,1,2]=>[2,1,5,3,4,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[2,6,4,3,7,5,1]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[2,6,4,5,1,3,7]=>[5,6,4,3,1,2,7]=>[7,2,1,3,4,6,5]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[2,6,4,5,1,7,3]=>[5,7,4,3,1,6,2]=>[2,6,1,3,4,7,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[2,6,4,5,3,1,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[2,6,4,5,3,7,1]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[2,6,4,5,7,1,3]=>[6,7,4,3,5,1,2]=>[2,1,5,3,4,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[2,6,4,5,7,3,1]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[2,6,4,7,1,3,5]=>[5,7,6,4,1,3,2]=>[2,3,1,4,6,7,5]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[2,6,4,7,1,5,3]=>[5,7,6,4,1,3,2]=>[2,3,1,4,6,7,5]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[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]=>[7,2,3,1,5,6,4]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[2,6,5,1,3,7,4]=>[4,7,5,1,3,6,2]=>[2,6,3,1,5,7,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[2,6,5,1,4,3,7]=>[4,6,5,1,3,2,7]=>[7,2,3,1,5,6,4]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[2,6,5,1,4,7,3]=>[4,7,5,1,3,6,2]=>[2,6,3,1,5,7,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[2,6,5,1,7,3,4]=>[4,7,6,1,5,3,2]=>[2,3,5,1,6,7,4]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[2,6,5,1,7,4,3]=>[4,7,6,1,5,3,2]=>[2,3,5,1,6,7,4]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[2,6,5,3,1,4,7]=>[5,6,4,3,1,2,7]=>[7,2,1,3,4,6,5]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[2,6,5,3,1,7,4]=>[5,7,4,3,1,6,2]=>[2,6,1,3,4,7,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[2,6,5,3,4,1,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[2,6,5,3,4,7,1]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[2,6,5,3,7,1,4]=>[6,7,4,3,5,1,2]=>[2,1,5,3,4,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[2,6,5,3,7,4,1]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[2,6,5,4,1,3,7]=>[5,6,4,3,1,2,7]=>[7,2,1,3,4,6,5]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[2,6,5,4,1,7,3]=>[5,7,4,3,1,6,2]=>[2,6,1,3,4,7,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[2,6,5,4,3,1,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[2,6,5,4,3,7,1]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[2,6,5,4,7,1,3]=>[6,7,4,3,5,1,2]=>[2,1,5,3,4,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[2,6,5,4,7,3,1]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[2,6,5,7,1,3,4]=>[5,7,6,4,1,3,2]=>[2,3,1,4,6,7,5]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[2,6,5,7,1,4,3]=>[5,7,6,4,1,3,2]=>[2,3,1,4,6,7,5]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[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]=>[2,3,5,1,6,7,4]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[2,6,7,1,3,5,4]=>[4,7,6,1,5,3,2]=>[2,3,5,1,6,7,4]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[2,6,7,1,4,3,5]=>[4,7,6,1,5,3,2]=>[2,3,5,1,6,7,4]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[2,6,7,1,4,5,3]=>[4,7,6,1,5,3,2]=>[2,3,5,1,6,7,4]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[2,6,7,1,5,3,4]=>[4,7,6,1,5,3,2]=>[2,3,5,1,6,7,4]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[2,6,7,1,5,4,3]=>[4,7,6,1,5,3,2]=>[2,3,5,1,6,7,4]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[2,6,7,3,1,4,5]=>[5,7,6,4,1,3,2]=>[2,3,1,4,6,7,5]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[2,6,7,3,1,5,4]=>[5,7,6,4,1,3,2]=>[2,3,1,4,6,7,5]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[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]=>[2,3,1,4,6,7,5]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[2,6,7,4,1,5,3]=>[5,7,6,4,1,3,2]=>[2,3,1,4,6,7,5]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[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]=>[2,3,1,4,6,7,5]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[2,6,7,5,1,4,3]=>[5,7,6,4,1,3,2]=>[2,3,1,4,6,7,5]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[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]=>[2,6,5,4,1,7,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[2,7,1,3,4,6,5]=>[3,7,1,4,5,6,2]=>[2,6,5,4,1,7,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[2,7,1,3,5,4,6]=>[3,7,1,4,6,5,2]=>[2,5,6,4,1,7,3]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[2,7,1,3,5,6,4]=>[3,7,1,4,6,5,2]=>[2,5,6,4,1,7,3]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[2,7,1,3,6,4,5]=>[3,7,1,4,6,5,2]=>[2,5,6,4,1,7,3]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[2,7,1,3,6,5,4]=>[3,7,1,4,6,5,2]=>[2,5,6,4,1,7,3]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[2,7,1,4,3,5,6]=>[3,7,1,5,4,6,2]=>[2,6,4,5,1,7,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,7,1,4,3,6,5]=>[3,7,1,5,4,6,2]=>[2,6,4,5,1,7,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,7,1,4,5,3,6]=>[3,7,1,6,5,4,2]=>[2,4,5,6,1,7,3]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,7,1,4,5,6,3]=>[3,7,1,6,5,4,2]=>[2,4,5,6,1,7,3]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,7,1,4,6,3,5]=>[3,7,1,6,5,4,2]=>[2,4,5,6,1,7,3]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,7,1,4,6,5,3]=>[3,7,1,6,5,4,2]=>[2,4,5,6,1,7,3]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,7,1,5,3,4,6]=>[3,7,1,6,5,4,2]=>[2,4,5,6,1,7,3]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,7,1,5,3,6,4]=>[3,7,1,6,5,4,2]=>[2,4,5,6,1,7,3]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,7,1,5,4,3,6]=>[3,7,1,6,5,4,2]=>[2,4,5,6,1,7,3]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,7,1,5,4,6,3]=>[3,7,1,6,5,4,2]=>[2,4,5,6,1,7,3]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,7,1,5,6,3,4]=>[3,7,1,6,5,4,2]=>[2,4,5,6,1,7,3]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,7,1,5,6,4,3]=>[3,7,1,6,5,4,2]=>[2,4,5,6,1,7,3]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,7,1,6,3,4,5]=>[3,7,1,6,5,4,2]=>[2,4,5,6,1,7,3]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,7,1,6,3,5,4]=>[3,7,1,6,5,4,2]=>[2,4,5,6,1,7,3]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,7,1,6,4,3,5]=>[3,7,1,6,5,4,2]=>[2,4,5,6,1,7,3]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,7,1,6,4,5,3]=>[3,7,1,6,5,4,2]=>[2,4,5,6,1,7,3]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,7,1,6,5,3,4]=>[3,7,1,6,5,4,2]=>[2,4,5,6,1,7,3]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,7,1,6,5,4,3]=>[3,7,1,6,5,4,2]=>[2,4,5,6,1,7,3]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,7,3,1,4,5,6]=>[4,7,3,1,5,6,2]=>[2,6,5,1,3,7,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[2,7,3,1,4,6,5]=>[4,7,3,1,5,6,2]=>[2,6,5,1,3,7,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[2,7,3,1,5,4,6]=>[4,7,3,1,6,5,2]=>[2,5,6,1,3,7,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[2,7,3,1,5,6,4]=>[4,7,3,1,6,5,2]=>[2,5,6,1,3,7,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[2,7,3,1,6,4,5]=>[4,7,3,1,6,5,2]=>[2,5,6,1,3,7,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[2,7,3,1,6,5,4]=>[4,7,3,1,6,5,2]=>[2,5,6,1,3,7,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[2,7,3,4,1,5,6]=>[5,7,3,4,1,6,2]=>[2,6,1,4,3,7,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,7,3,4,1,6,5]=>[5,7,3,4,1,6,2]=>[2,6,1,4,3,7,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[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]=>[2,4,1,6,3,7,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[2,7,3,5,1,6,4]=>[5,7,3,6,1,4,2]=>[2,4,1,6,3,7,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[2,7,3,5,4,1,6]=>[6,7,3,5,4,1,2]=>[2,1,4,5,3,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[2,7,3,5,4,6,1]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[2,7,3,5,6,1,4]=>[6,7,3,5,4,1,2]=>[2,1,4,5,3,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[2,7,3,5,6,4,1]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[2,7,3,6,1,4,5]=>[5,7,3,6,1,4,2]=>[2,4,1,6,3,7,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[2,7,3,6,1,5,4]=>[5,7,3,6,1,4,2]=>[2,4,1,6,3,7,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[2,7,3,6,4,1,5]=>[6,7,3,5,4,1,2]=>[2,1,4,5,3,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[2,7,3,6,4,5,1]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[2,7,3,6,5,1,4]=>[6,7,3,5,4,1,2]=>[2,1,4,5,3,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[2,7,3,6,5,4,1]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[2,7,4,1,3,5,6]=>[4,7,5,1,3,6,2]=>[2,6,3,1,5,7,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[2,7,4,1,3,6,5]=>[4,7,5,1,3,6,2]=>[2,6,3,1,5,7,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[2,7,4,1,5,3,6]=>[4,7,6,1,5,3,2]=>[2,3,5,1,6,7,4]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[2,7,4,1,5,6,3]=>[4,7,6,1,5,3,2]=>[2,3,5,1,6,7,4]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[2,7,4,1,6,3,5]=>[4,7,6,1,5,3,2]=>[2,3,5,1,6,7,4]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[2,7,4,1,6,5,3]=>[4,7,6,1,5,3,2]=>[2,3,5,1,6,7,4]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[2,7,4,3,1,5,6]=>[5,7,4,3,1,6,2]=>[2,6,1,3,4,7,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[2,7,4,3,1,6,5]=>[5,7,4,3,1,6,2]=>[2,6,1,3,4,7,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[2,7,4,3,5,1,6]=>[6,7,4,3,5,1,2]=>[2,1,5,3,4,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[2,7,4,3,5,6,1]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[2,7,4,3,6,1,5]=>[6,7,4,3,5,1,2]=>[2,1,5,3,4,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[2,7,4,3,6,5,1]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[2,7,4,5,1,3,6]=>[5,7,6,4,1,3,2]=>[2,3,1,4,6,7,5]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[2,7,4,5,1,6,3]=>[5,7,6,4,1,3,2]=>[2,3,1,4,6,7,5]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[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]=>[2,3,1,4,6,7,5]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[2,7,4,6,1,5,3]=>[5,7,6,4,1,3,2]=>[2,3,1,4,6,7,5]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[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]=>[2,3,5,1,6,7,4]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[2,7,5,1,3,6,4]=>[4,7,6,1,5,3,2]=>[2,3,5,1,6,7,4]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[2,7,5,1,4,3,6]=>[4,7,6,1,5,3,2]=>[2,3,5,1,6,7,4]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[2,7,5,1,4,6,3]=>[4,7,6,1,5,3,2]=>[2,3,5,1,6,7,4]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[2,7,5,1,6,3,4]=>[4,7,6,1,5,3,2]=>[2,3,5,1,6,7,4]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[2,7,5,1,6,4,3]=>[4,7,6,1,5,3,2]=>[2,3,5,1,6,7,4]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[2,7,5,3,1,4,6]=>[5,7,6,4,1,3,2]=>[2,3,1,4,6,7,5]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[2,7,5,3,1,6,4]=>[5,7,6,4,1,3,2]=>[2,3,1,4,6,7,5]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[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]=>[2,3,1,4,6,7,5]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[2,7,5,4,1,6,3]=>[5,7,6,4,1,3,2]=>[2,3,1,4,6,7,5]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[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]=>[2,3,1,4,6,7,5]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[2,7,5,6,1,4,3]=>[5,7,6,4,1,3,2]=>[2,3,1,4,6,7,5]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[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]=>[2,3,5,1,6,7,4]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[2,7,6,1,3,5,4]=>[4,7,6,1,5,3,2]=>[2,3,5,1,6,7,4]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[2,7,6,1,4,3,5]=>[4,7,6,1,5,3,2]=>[2,3,5,1,6,7,4]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[2,7,6,1,4,5,3]=>[4,7,6,1,5,3,2]=>[2,3,5,1,6,7,4]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[2,7,6,1,5,3,4]=>[4,7,6,1,5,3,2]=>[2,3,5,1,6,7,4]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[2,7,6,1,5,4,3]=>[4,7,6,1,5,3,2]=>[2,3,5,1,6,7,4]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[2,7,6,3,1,4,5]=>[5,7,6,4,1,3,2]=>[2,3,1,4,6,7,5]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[2,7,6,3,1,5,4]=>[5,7,6,4,1,3,2]=>[2,3,1,4,6,7,5]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[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]=>[2,3,1,4,6,7,5]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[2,7,6,4,1,5,3]=>[5,7,6,4,1,3,2]=>[2,3,1,4,6,7,5]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[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]=>[2,3,1,4,6,7,5]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[2,7,6,5,1,4,3]=>[5,7,6,4,1,3,2]=>[2,3,1,4,6,7,5]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[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]=>[7,6,5,4,1,2,3]=>[[[[[.,[.,[.,.]]],.],.],.],.]
[3,1,2,4,5,7,6]=>[3,2,1,4,5,7,6]=>[6,7,5,4,1,2,3]=>[[[[.,[.,[.,.]]],.],.],[.,.]]
[3,1,2,4,6,5,7]=>[3,2,1,4,6,5,7]=>[7,5,6,4,1,2,3]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
[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]=>[7,6,4,5,1,2,3]=>[[[[.,[.,[.,.]]],[.,.]],.],.]
[3,1,2,5,4,7,6]=>[3,2,1,5,4,7,6]=>[6,7,4,5,1,2,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[3,1,2,5,6,4,7]=>[3,2,1,6,5,4,7]=>[7,4,5,6,1,2,3]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[3,1,2,5,6,7,4]=>[3,2,1,7,5,6,4]=>[4,6,5,7,1,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[3,1,2,5,7,4,6]=>[3,2,1,6,7,4,5]=>[5,4,7,6,1,2,3]=>[[[.,[.,[.,.]]],.],[[.,.],.]]
[3,1,2,5,7,6,4]=>[3,2,1,7,6,5,4]=>[4,5,6,7,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[3,1,2,6,4,5,7]=>[3,2,1,6,5,4,7]=>[7,4,5,6,1,2,3]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[3,1,2,6,4,7,5]=>[3,2,1,7,5,6,4]=>[4,6,5,7,1,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[3,1,2,6,5,4,7]=>[3,2,1,6,5,4,7]=>[7,4,5,6,1,2,3]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[3,1,2,6,5,7,4]=>[3,2,1,7,5,6,4]=>[4,6,5,7,1,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[3,1,2,6,7,4,5]=>[3,2,1,7,6,5,4]=>[4,5,6,7,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[3,1,2,6,7,5,4]=>[3,2,1,7,6,5,4]=>[4,5,6,7,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[3,1,2,7,4,5,6]=>[3,2,1,7,5,6,4]=>[4,6,5,7,1,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[3,1,2,7,4,6,5]=>[3,2,1,7,5,6,4]=>[4,6,5,7,1,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[3,1,2,7,5,4,6]=>[3,2,1,7,6,5,4]=>[4,5,6,7,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[3,1,2,7,5,6,4]=>[3,2,1,7,6,5,4]=>[4,5,6,7,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[3,1,2,7,6,4,5]=>[3,2,1,7,6,5,4]=>[4,5,6,7,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[3,1,2,7,6,5,4]=>[3,2,1,7,6,5,4]=>[4,5,6,7,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[3,1,4,2,5,6,7]=>[4,2,3,1,5,6,7]=>[7,6,5,1,3,2,4]=>[[[[.,[[.,.],[.,.]]],.],.],.]
[3,1,4,2,5,7,6]=>[4,2,3,1,5,7,6]=>[6,7,5,1,3,2,4]=>[[[.,[[.,.],[.,.]]],.],[.,.]]
[3,1,4,2,6,5,7]=>[4,2,3,1,6,5,7]=>[7,5,6,1,3,2,4]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[3,1,4,2,6,7,5]=>[4,2,3,1,7,6,5]=>[5,6,7,1,3,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[3,1,4,2,7,5,6]=>[4,2,3,1,7,6,5]=>[5,6,7,1,3,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[3,1,4,2,7,6,5]=>[4,2,3,1,7,6,5]=>[5,6,7,1,3,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[3,1,4,5,2,6,7]=>[5,2,3,4,1,6,7]=>[7,6,1,4,3,2,5]=>[[[.,[[[.,.],.],[.,.]]],.],.]
[3,1,4,5,2,7,6]=>[5,2,3,4,1,7,6]=>[6,7,1,4,3,2,5]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[3,1,4,5,6,2,7]=>[6,2,3,4,5,1,7]=>[7,1,5,4,3,2,6]=>[[.,[[[[.,.],.],.],[.,.]]],.]
[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]=>[5,1,7,4,3,2,6]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[3,1,4,5,7,6,2]=>[7,2,3,4,6,5,1]=>[1,5,6,4,3,2,7]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[3,1,4,6,2,5,7]=>[5,2,3,6,1,4,7]=>[7,4,1,6,3,2,5]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[3,1,4,6,2,7,5]=>[5,2,3,7,1,6,4]=>[4,6,1,7,3,2,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[3,1,4,6,5,2,7]=>[6,2,3,5,4,1,7]=>[7,1,4,5,3,2,6]=>[[.,[[[.,.],.],[.,[.,.]]]],.]
[3,1,4,6,5,7,2]=>[7,2,3,5,4,6,1]=>[1,6,4,5,3,2,7]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[3,1,4,6,7,2,5]=>[6,2,3,7,5,1,4]=>[4,1,5,7,3,2,6]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[3,1,4,6,7,5,2]=>[7,2,3,6,5,4,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[3,1,4,7,2,5,6]=>[5,2,3,7,1,6,4]=>[4,6,1,7,3,2,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[3,1,4,7,2,6,5]=>[5,2,3,7,1,6,4]=>[4,6,1,7,3,2,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[3,1,4,7,5,2,6]=>[6,2,3,7,5,1,4]=>[4,1,5,7,3,2,6]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[3,1,4,7,5,6,2]=>[7,2,3,6,5,4,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[3,1,4,7,6,2,5]=>[6,2,3,7,5,1,4]=>[4,1,5,7,3,2,6]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[3,1,4,7,6,5,2]=>[7,2,3,6,5,4,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[3,1,5,2,4,6,7]=>[4,2,5,1,3,6,7]=>[7,6,3,1,5,2,4]=>[[[[.,[.,.]],[[.,.],.]],.],.]
[3,1,5,2,4,7,6]=>[4,2,5,1,3,7,6]=>[6,7,3,1,5,2,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[3,1,5,2,6,4,7]=>[4,2,6,1,5,3,7]=>[7,3,5,1,6,2,4]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[3,1,5,2,6,7,4]=>[4,2,7,1,5,6,3]=>[3,6,5,1,7,2,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[3,1,5,2,7,4,6]=>[4,2,6,1,7,3,5]=>[5,3,7,1,6,2,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[3,1,5,2,7,6,4]=>[4,2,7,1,6,5,3]=>[3,5,6,1,7,2,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[3,1,5,4,2,6,7]=>[5,2,4,3,1,6,7]=>[7,6,1,3,4,2,5]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[3,1,5,4,2,7,6]=>[5,2,4,3,1,7,6]=>[6,7,1,3,4,2,5]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[3,1,5,4,6,2,7]=>[6,2,4,3,5,1,7]=>[7,1,5,3,4,2,6]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[3,1,5,4,6,7,2]=>[7,2,4,3,5,6,1]=>[1,6,5,3,4,2,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[3,1,5,4,7,2,6]=>[6,2,4,3,7,1,5]=>[5,1,7,3,4,2,6]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[3,1,5,4,7,6,2]=>[7,2,4,3,6,5,1]=>[1,5,6,3,4,2,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[3,1,5,6,2,4,7]=>[5,2,6,4,1,3,7]=>[7,3,1,4,6,2,5]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[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]=>[7,1,3,4,5,2,6]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[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]=>[3,1,5,4,7,2,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,1,5,6,7,4,2]=>[7,2,6,4,5,3,1]=>[1,3,5,4,6,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[3,1,5,7,2,4,6]=>[5,2,6,7,1,3,4]=>[4,3,1,7,6,2,5]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[3,1,5,7,2,6,4]=>[5,2,7,6,1,4,3]=>[3,4,1,6,7,2,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[3,1,5,7,4,2,6]=>[6,2,5,7,3,1,4]=>[4,1,3,7,5,2,6]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[3,1,5,7,4,6,2]=>[7,2,5,6,3,4,1]=>[1,4,3,6,5,2,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[3,1,5,7,6,2,4]=>[6,2,7,5,4,1,3]=>[3,1,4,5,7,2,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[3,1,5,7,6,4,2]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[3,1,6,2,4,5,7]=>[4,2,6,1,5,3,7]=>[7,3,5,1,6,2,4]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[3,1,6,2,4,7,5]=>[4,2,7,1,5,6,3]=>[3,6,5,1,7,2,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[3,1,6,2,5,4,7]=>[4,2,6,1,5,3,7]=>[7,3,5,1,6,2,4]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[3,1,6,2,5,7,4]=>[4,2,7,1,5,6,3]=>[3,6,5,1,7,2,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[3,1,6,2,7,4,5]=>[4,2,7,1,6,5,3]=>[3,5,6,1,7,2,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[3,1,6,2,7,5,4]=>[4,2,7,1,6,5,3]=>[3,5,6,1,7,2,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[3,1,6,4,2,5,7]=>[5,2,6,4,1,3,7]=>[7,3,1,4,6,2,5]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[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]=>[7,1,3,4,5,2,6]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[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]=>[3,1,5,4,7,2,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,1,6,4,7,5,2]=>[7,2,6,4,5,3,1]=>[1,3,5,4,6,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[3,1,6,5,2,4,7]=>[5,2,6,4,1,3,7]=>[7,3,1,4,6,2,5]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[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]=>[7,1,3,4,5,2,6]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[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]=>[3,1,5,4,7,2,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,1,6,5,7,4,2]=>[7,2,6,4,5,3,1]=>[1,3,5,4,6,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[3,1,6,7,2,4,5]=>[5,2,7,6,1,4,3]=>[3,4,1,6,7,2,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[3,1,6,7,2,5,4]=>[5,2,7,6,1,4,3]=>[3,4,1,6,7,2,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[3,1,6,7,4,2,5]=>[6,2,7,5,4,1,3]=>[3,1,4,5,7,2,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[3,1,6,7,4,5,2]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[3,1,6,7,5,2,4]=>[6,2,7,5,4,1,3]=>[3,1,4,5,7,2,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[3,1,6,7,5,4,2]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[3,1,7,2,4,5,6]=>[4,2,7,1,5,6,3]=>[3,6,5,1,7,2,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[3,1,7,2,4,6,5]=>[4,2,7,1,5,6,3]=>[3,6,5,1,7,2,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[3,1,7,2,5,4,6]=>[4,2,7,1,6,5,3]=>[3,5,6,1,7,2,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[3,1,7,2,5,6,4]=>[4,2,7,1,6,5,3]=>[3,5,6,1,7,2,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[3,1,7,2,6,4,5]=>[4,2,7,1,6,5,3]=>[3,5,6,1,7,2,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[3,1,7,2,6,5,4]=>[4,2,7,1,6,5,3]=>[3,5,6,1,7,2,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[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]=>[3,1,5,4,7,2,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,1,7,4,5,6,2]=>[7,2,6,4,5,3,1]=>[1,3,5,4,6,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[3,1,7,4,6,2,5]=>[6,2,7,4,5,1,3]=>[3,1,5,4,7,2,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,1,7,4,6,5,2]=>[7,2,6,4,5,3,1]=>[1,3,5,4,6,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[3,1,7,5,2,4,6]=>[5,2,7,6,1,4,3]=>[3,4,1,6,7,2,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[3,1,7,5,2,6,4]=>[5,2,7,6,1,4,3]=>[3,4,1,6,7,2,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[3,1,7,5,4,2,6]=>[6,2,7,5,4,1,3]=>[3,1,4,5,7,2,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[3,1,7,5,4,6,2]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[3,1,7,5,6,2,4]=>[6,2,7,5,4,1,3]=>[3,1,4,5,7,2,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[3,1,7,5,6,4,2]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[3,1,7,6,2,4,5]=>[5,2,7,6,1,4,3]=>[3,4,1,6,7,2,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[3,1,7,6,2,5,4]=>[5,2,7,6,1,4,3]=>[3,4,1,6,7,2,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[3,1,7,6,4,2,5]=>[6,2,7,5,4,1,3]=>[3,1,4,5,7,2,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[3,1,7,6,4,5,2]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[3,1,7,6,5,2,4]=>[6,2,7,5,4,1,3]=>[3,1,4,5,7,2,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[3,1,7,6,5,4,2]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[3,2,1,4,5,6,7]=>[3,2,1,4,5,6,7]=>[7,6,5,4,1,2,3]=>[[[[[.,[.,[.,.]]],.],.],.],.]
[3,2,1,4,5,7,6]=>[3,2,1,4,5,7,6]=>[6,7,5,4,1,2,3]=>[[[[.,[.,[.,.]]],.],.],[.,.]]
[3,2,1,4,6,5,7]=>[3,2,1,4,6,5,7]=>[7,5,6,4,1,2,3]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
[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]=>[7,6,4,5,1,2,3]=>[[[[.,[.,[.,.]]],[.,.]],.],.]
[3,2,1,5,4,7,6]=>[3,2,1,5,4,7,6]=>[6,7,4,5,1,2,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[3,2,1,5,6,4,7]=>[3,2,1,6,5,4,7]=>[7,4,5,6,1,2,3]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[3,2,1,5,6,7,4]=>[3,2,1,7,5,6,4]=>[4,6,5,7,1,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[3,2,1,5,7,4,6]=>[3,2,1,6,7,4,5]=>[5,4,7,6,1,2,3]=>[[[.,[.,[.,.]]],.],[[.,.],.]]
[3,2,1,5,7,6,4]=>[3,2,1,7,6,5,4]=>[4,5,6,7,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[3,2,1,6,4,5,7]=>[3,2,1,6,5,4,7]=>[7,4,5,6,1,2,3]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[3,2,1,6,4,7,5]=>[3,2,1,7,5,6,4]=>[4,6,5,7,1,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[3,2,1,6,5,4,7]=>[3,2,1,6,5,4,7]=>[7,4,5,6,1,2,3]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[3,2,1,6,5,7,4]=>[3,2,1,7,5,6,4]=>[4,6,5,7,1,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[3,2,1,6,7,4,5]=>[3,2,1,7,6,5,4]=>[4,5,6,7,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[3,2,1,6,7,5,4]=>[3,2,1,7,6,5,4]=>[4,5,6,7,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[3,2,1,7,4,5,6]=>[3,2,1,7,5,6,4]=>[4,6,5,7,1,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[3,2,1,7,4,6,5]=>[3,2,1,7,5,6,4]=>[4,6,5,7,1,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[3,2,1,7,5,4,6]=>[3,2,1,7,6,5,4]=>[4,5,6,7,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[3,2,1,7,5,6,4]=>[3,2,1,7,6,5,4]=>[4,5,6,7,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[3,2,1,7,6,4,5]=>[3,2,1,7,6,5,4]=>[4,5,6,7,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[3,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[4,5,6,7,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[3,2,4,1,5,6,7]=>[4,2,3,1,5,6,7]=>[7,6,5,1,3,2,4]=>[[[[.,[[.,.],[.,.]]],.],.],.]
[3,2,4,1,5,7,6]=>[4,2,3,1,5,7,6]=>[6,7,5,1,3,2,4]=>[[[.,[[.,.],[.,.]]],.],[.,.]]
[3,2,4,1,6,5,7]=>[4,2,3,1,6,5,7]=>[7,5,6,1,3,2,4]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[3,2,4,1,6,7,5]=>[4,2,3,1,7,6,5]=>[5,6,7,1,3,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[3,2,4,1,7,5,6]=>[4,2,3,1,7,6,5]=>[5,6,7,1,3,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[3,2,4,1,7,6,5]=>[4,2,3,1,7,6,5]=>[5,6,7,1,3,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[3,2,4,5,1,6,7]=>[5,2,3,4,1,6,7]=>[7,6,1,4,3,2,5]=>[[[.,[[[.,.],.],[.,.]]],.],.]
[3,2,4,5,1,7,6]=>[5,2,3,4,1,7,6]=>[6,7,1,4,3,2,5]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[3,2,4,5,6,1,7]=>[6,2,3,4,5,1,7]=>[7,1,5,4,3,2,6]=>[[.,[[[[.,.],.],.],[.,.]]],.]
[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]=>[5,1,7,4,3,2,6]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[3,2,4,5,7,6,1]=>[7,2,3,4,6,5,1]=>[1,5,6,4,3,2,7]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[3,2,4,6,1,5,7]=>[5,2,3,6,1,4,7]=>[7,4,1,6,3,2,5]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[3,2,4,6,1,7,5]=>[5,2,3,7,1,6,4]=>[4,6,1,7,3,2,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[3,2,4,6,5,1,7]=>[6,2,3,5,4,1,7]=>[7,1,4,5,3,2,6]=>[[.,[[[.,.],.],[.,[.,.]]]],.]
[3,2,4,6,5,7,1]=>[7,2,3,5,4,6,1]=>[1,6,4,5,3,2,7]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[3,2,4,6,7,1,5]=>[6,2,3,7,5,1,4]=>[4,1,5,7,3,2,6]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[3,2,4,6,7,5,1]=>[7,2,3,6,5,4,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[3,2,4,7,1,5,6]=>[5,2,3,7,1,6,4]=>[4,6,1,7,3,2,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[3,2,4,7,1,6,5]=>[5,2,3,7,1,6,4]=>[4,6,1,7,3,2,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[3,2,4,7,5,1,6]=>[6,2,3,7,5,1,4]=>[4,1,5,7,3,2,6]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[3,2,4,7,5,6,1]=>[7,2,3,6,5,4,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[3,2,4,7,6,1,5]=>[6,2,3,7,5,1,4]=>[4,1,5,7,3,2,6]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[3,2,4,7,6,5,1]=>[7,2,3,6,5,4,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[3,2,5,1,4,6,7]=>[4,2,5,1,3,6,7]=>[7,6,3,1,5,2,4]=>[[[[.,[.,.]],[[.,.],.]],.],.]
[3,2,5,1,4,7,6]=>[4,2,5,1,3,7,6]=>[6,7,3,1,5,2,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[3,2,5,1,6,4,7]=>[4,2,6,1,5,3,7]=>[7,3,5,1,6,2,4]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[3,2,5,1,6,7,4]=>[4,2,7,1,5,6,3]=>[3,6,5,1,7,2,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[3,2,5,1,7,4,6]=>[4,2,6,1,7,3,5]=>[5,3,7,1,6,2,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[3,2,5,1,7,6,4]=>[4,2,7,1,6,5,3]=>[3,5,6,1,7,2,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[3,2,5,4,1,6,7]=>[5,2,4,3,1,6,7]=>[7,6,1,3,4,2,5]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[3,2,5,4,1,7,6]=>[5,2,4,3,1,7,6]=>[6,7,1,3,4,2,5]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[3,2,5,4,6,1,7]=>[6,2,4,3,5,1,7]=>[7,1,5,3,4,2,6]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[3,2,5,4,6,7,1]=>[7,2,4,3,5,6,1]=>[1,6,5,3,4,2,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[3,2,5,4,7,1,6]=>[6,2,4,3,7,1,5]=>[5,1,7,3,4,2,6]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[3,2,5,4,7,6,1]=>[7,2,4,3,6,5,1]=>[1,5,6,3,4,2,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[3,2,5,6,1,4,7]=>[5,2,6,4,1,3,7]=>[7,3,1,4,6,2,5]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[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]=>[7,1,3,4,5,2,6]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[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]=>[3,1,5,4,7,2,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,2,5,6,7,4,1]=>[7,2,6,4,5,3,1]=>[1,3,5,4,6,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[3,2,5,7,1,4,6]=>[5,2,6,7,1,3,4]=>[4,3,1,7,6,2,5]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[3,2,5,7,1,6,4]=>[5,2,7,6,1,4,3]=>[3,4,1,6,7,2,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[3,2,5,7,4,1,6]=>[6,2,5,7,3,1,4]=>[4,1,3,7,5,2,6]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[3,2,5,7,4,6,1]=>[7,2,5,6,3,4,1]=>[1,4,3,6,5,2,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[3,2,5,7,6,1,4]=>[6,2,7,5,4,1,3]=>[3,1,4,5,7,2,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[3,2,5,7,6,4,1]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[3,2,6,1,4,5,7]=>[4,2,6,1,5,3,7]=>[7,3,5,1,6,2,4]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[3,2,6,1,4,7,5]=>[4,2,7,1,5,6,3]=>[3,6,5,1,7,2,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[3,2,6,1,5,4,7]=>[4,2,6,1,5,3,7]=>[7,3,5,1,6,2,4]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[3,2,6,1,5,7,4]=>[4,2,7,1,5,6,3]=>[3,6,5,1,7,2,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[3,2,6,1,7,4,5]=>[4,2,7,1,6,5,3]=>[3,5,6,1,7,2,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[3,2,6,1,7,5,4]=>[4,2,7,1,6,5,3]=>[3,5,6,1,7,2,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[3,2,6,4,1,5,7]=>[5,2,6,4,1,3,7]=>[7,3,1,4,6,2,5]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[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]=>[7,1,3,4,5,2,6]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[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]=>[3,1,5,4,7,2,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,2,6,4,7,5,1]=>[7,2,6,4,5,3,1]=>[1,3,5,4,6,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[3,2,6,5,1,4,7]=>[5,2,6,4,1,3,7]=>[7,3,1,4,6,2,5]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[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]=>[7,1,3,4,5,2,6]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[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]=>[3,1,5,4,7,2,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,2,6,5,7,4,1]=>[7,2,6,4,5,3,1]=>[1,3,5,4,6,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[3,2,6,7,1,4,5]=>[5,2,7,6,1,4,3]=>[3,4,1,6,7,2,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[3,2,6,7,1,5,4]=>[5,2,7,6,1,4,3]=>[3,4,1,6,7,2,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[3,2,6,7,4,1,5]=>[6,2,7,5,4,1,3]=>[3,1,4,5,7,2,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[3,2,6,7,4,5,1]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[3,2,6,7,5,1,4]=>[6,2,7,5,4,1,3]=>[3,1,4,5,7,2,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[3,2,6,7,5,4,1]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[3,2,7,1,4,5,6]=>[4,2,7,1,5,6,3]=>[3,6,5,1,7,2,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[3,2,7,1,4,6,5]=>[4,2,7,1,5,6,3]=>[3,6,5,1,7,2,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[3,2,7,1,5,4,6]=>[4,2,7,1,6,5,3]=>[3,5,6,1,7,2,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[3,2,7,1,5,6,4]=>[4,2,7,1,6,5,3]=>[3,5,6,1,7,2,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[3,2,7,1,6,4,5]=>[4,2,7,1,6,5,3]=>[3,5,6,1,7,2,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[3,2,7,1,6,5,4]=>[4,2,7,1,6,5,3]=>[3,5,6,1,7,2,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[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]=>[3,1,5,4,7,2,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,2,7,4,5,6,1]=>[7,2,6,4,5,3,1]=>[1,3,5,4,6,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[3,2,7,4,6,1,5]=>[6,2,7,4,5,1,3]=>[3,1,5,4,7,2,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,2,7,4,6,5,1]=>[7,2,6,4,5,3,1]=>[1,3,5,4,6,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[3,2,7,5,1,4,6]=>[5,2,7,6,1,4,3]=>[3,4,1,6,7,2,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[3,2,7,5,1,6,4]=>[5,2,7,6,1,4,3]=>[3,4,1,6,7,2,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[3,2,7,5,4,1,6]=>[6,2,7,5,4,1,3]=>[3,1,4,5,7,2,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[3,2,7,5,4,6,1]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[3,2,7,5,6,1,4]=>[6,2,7,5,4,1,3]=>[3,1,4,5,7,2,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[3,2,7,5,6,4,1]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[3,2,7,6,1,4,5]=>[5,2,7,6,1,4,3]=>[3,4,1,6,7,2,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[3,2,7,6,1,5,4]=>[5,2,7,6,1,4,3]=>[3,4,1,6,7,2,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[3,2,7,6,4,1,5]=>[6,2,7,5,4,1,3]=>[3,1,4,5,7,2,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[3,2,7,6,4,5,1]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[3,2,7,6,5,1,4]=>[6,2,7,5,4,1,3]=>[3,1,4,5,7,2,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[3,2,7,6,5,4,1]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[3,4,1,2,5,6,7]=>[4,3,2,1,5,6,7]=>[7,6,5,1,2,3,4]=>[[[[.,[.,[.,[.,.]]]],.],.],.]
[3,4,1,2,5,7,6]=>[4,3,2,1,5,7,6]=>[6,7,5,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],.],[.,.]]
[3,4,1,2,6,5,7]=>[4,3,2,1,6,5,7]=>[7,5,6,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[3,4,1,2,6,7,5]=>[4,3,2,1,7,6,5]=>[5,6,7,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[3,4,1,2,7,5,6]=>[4,3,2,1,7,6,5]=>[5,6,7,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[3,4,1,2,7,6,5]=>[4,3,2,1,7,6,5]=>[5,6,7,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[3,4,1,5,2,6,7]=>[5,3,2,4,1,6,7]=>[7,6,1,4,2,3,5]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[3,4,1,5,2,7,6]=>[5,3,2,4,1,7,6]=>[6,7,1,4,2,3,5]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[3,4,1,5,6,2,7]=>[6,3,2,4,5,1,7]=>[7,1,5,4,2,3,6]=>[[.,[[[.,[.,.]],.],[.,.]]],.]
[3,4,1,5,6,7,2]=>[7,3,2,4,5,6,1]=>[1,6,5,4,2,3,7]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[3,4,1,5,7,2,6]=>[6,3,2,4,7,1,5]=>[5,1,7,4,2,3,6]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[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]=>[7,4,1,6,2,3,5]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[3,4,1,6,2,7,5]=>[5,3,2,7,1,6,4]=>[4,6,1,7,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[3,4,1,6,5,2,7]=>[6,3,2,5,4,1,7]=>[7,1,4,5,2,3,6]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[3,4,1,6,5,7,2]=>[7,3,2,5,4,6,1]=>[1,6,4,5,2,3,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[3,4,1,6,7,2,5]=>[6,3,2,7,5,1,4]=>[4,1,5,7,2,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[3,4,1,6,7,5,2]=>[7,3,2,6,5,4,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[3,4,1,7,2,5,6]=>[5,3,2,7,1,6,4]=>[4,6,1,7,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[3,4,1,7,2,6,5]=>[5,3,2,7,1,6,4]=>[4,6,1,7,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[3,4,1,7,5,2,6]=>[6,3,2,7,5,1,4]=>[4,1,5,7,2,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[3,4,1,7,5,6,2]=>[7,3,2,6,5,4,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[3,4,1,7,6,2,5]=>[6,3,2,7,5,1,4]=>[4,1,5,7,2,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[3,4,1,7,6,5,2]=>[7,3,2,6,5,4,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[3,4,2,1,5,6,7]=>[4,3,2,1,5,6,7]=>[7,6,5,1,2,3,4]=>[[[[.,[.,[.,[.,.]]]],.],.],.]
[3,4,2,1,5,7,6]=>[4,3,2,1,5,7,6]=>[6,7,5,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],.],[.,.]]
[3,4,2,1,6,5,7]=>[4,3,2,1,6,5,7]=>[7,5,6,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[3,4,2,1,6,7,5]=>[4,3,2,1,7,6,5]=>[5,6,7,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[3,4,2,1,7,5,6]=>[4,3,2,1,7,6,5]=>[5,6,7,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[3,4,2,1,7,6,5]=>[4,3,2,1,7,6,5]=>[5,6,7,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[3,4,2,5,1,6,7]=>[5,3,2,4,1,6,7]=>[7,6,1,4,2,3,5]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[3,4,2,5,1,7,6]=>[5,3,2,4,1,7,6]=>[6,7,1,4,2,3,5]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[3,4,2,5,6,1,7]=>[6,3,2,4,5,1,7]=>[7,1,5,4,2,3,6]=>[[.,[[[.,[.,.]],.],[.,.]]],.]
[3,4,2,5,6,7,1]=>[7,3,2,4,5,6,1]=>[1,6,5,4,2,3,7]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[3,4,2,5,7,1,6]=>[6,3,2,4,7,1,5]=>[5,1,7,4,2,3,6]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[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]=>[7,4,1,6,2,3,5]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[3,4,2,6,1,7,5]=>[5,3,2,7,1,6,4]=>[4,6,1,7,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[3,4,2,6,5,1,7]=>[6,3,2,5,4,1,7]=>[7,1,4,5,2,3,6]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[3,4,2,6,5,7,1]=>[7,3,2,5,4,6,1]=>[1,6,4,5,2,3,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[3,4,2,6,7,1,5]=>[6,3,2,7,5,1,4]=>[4,1,5,7,2,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[3,4,2,6,7,5,1]=>[7,3,2,6,5,4,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[3,4,2,7,1,5,6]=>[5,3,2,7,1,6,4]=>[4,6,1,7,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[3,4,2,7,1,6,5]=>[5,3,2,7,1,6,4]=>[4,6,1,7,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[3,4,2,7,5,1,6]=>[6,3,2,7,5,1,4]=>[4,1,5,7,2,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[3,4,2,7,5,6,1]=>[7,3,2,6,5,4,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[3,4,2,7,6,1,5]=>[6,3,2,7,5,1,4]=>[4,1,5,7,2,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[3,4,2,7,6,5,1]=>[7,3,2,6,5,4,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[3,4,5,1,2,6,7]=>[5,4,3,2,1,6,7]=>[7,6,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[3,4,5,1,2,7,6]=>[5,4,3,2,1,7,6]=>[6,7,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[3,4,5,1,6,2,7]=>[6,4,3,2,5,1,7]=>[7,1,5,2,3,4,6]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[3,4,5,1,6,7,2]=>[7,4,3,2,5,6,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[3,4,5,1,7,2,6]=>[6,4,3,2,7,1,5]=>[5,1,7,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[3,4,5,1,7,6,2]=>[7,4,3,2,6,5,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[3,4,5,2,1,6,7]=>[5,4,3,2,1,6,7]=>[7,6,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[3,4,5,2,1,7,6]=>[5,4,3,2,1,7,6]=>[6,7,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[3,4,5,2,6,1,7]=>[6,4,3,2,5,1,7]=>[7,1,5,2,3,4,6]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[3,4,5,2,6,7,1]=>[7,4,3,2,5,6,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[3,4,5,2,7,1,6]=>[6,4,3,2,7,1,5]=>[5,1,7,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[3,4,5,2,7,6,1]=>[7,4,3,2,6,5,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[3,4,5,6,1,2,7]=>[6,5,3,4,2,1,7]=>[7,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[3,4,5,6,1,7,2]=>[7,5,3,4,2,6,1]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[3,4,5,6,2,1,7]=>[6,5,3,4,2,1,7]=>[7,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[3,4,5,6,2,7,1]=>[7,5,3,4,2,6,1]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[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]=>[4,1,2,7,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[3,4,5,7,1,6,2]=>[7,5,3,6,2,4,1]=>[1,4,2,6,3,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[3,4,5,7,2,1,6]=>[6,5,3,7,2,1,4]=>[4,1,2,7,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[3,4,5,7,2,6,1]=>[7,5,3,6,2,4,1]=>[1,4,2,6,3,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[3,4,5,7,6,1,2]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[3,4,5,7,6,2,1]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[3,4,6,1,2,5,7]=>[5,4,6,2,1,3,7]=>[7,3,1,2,6,4,5]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[3,4,6,1,2,7,5]=>[5,4,7,2,1,6,3]=>[3,6,1,2,7,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[3,4,6,1,5,2,7]=>[6,4,5,2,3,1,7]=>[7,1,3,2,5,4,6]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[3,4,6,1,5,7,2]=>[7,4,5,2,3,6,1]=>[1,6,3,2,5,4,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[3,4,6,1,7,2,5]=>[6,4,7,2,5,1,3]=>[3,1,5,2,7,4,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,4,6,1,7,5,2]=>[7,4,6,2,5,3,1]=>[1,3,5,2,6,4,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[3,4,6,2,1,5,7]=>[5,4,6,2,1,3,7]=>[7,3,1,2,6,4,5]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[3,4,6,2,1,7,5]=>[5,4,7,2,1,6,3]=>[3,6,1,2,7,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[3,4,6,2,5,1,7]=>[6,4,5,2,3,1,7]=>[7,1,3,2,5,4,6]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[3,4,6,2,5,7,1]=>[7,4,5,2,3,6,1]=>[1,6,3,2,5,4,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[3,4,6,2,7,1,5]=>[6,4,7,2,5,1,3]=>[3,1,5,2,7,4,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,4,6,2,7,5,1]=>[7,4,6,2,5,3,1]=>[1,3,5,2,6,4,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[3,4,6,5,1,2,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[3,4,6,5,1,7,2]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[3,4,6,5,2,1,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[3,4,6,5,2,7,1]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[3,4,6,5,7,1,2]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[3,4,6,5,7,2,1]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[3,4,6,7,1,2,5]=>[6,5,7,4,2,1,3]=>[3,1,2,4,7,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[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]=>[3,1,2,4,7,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[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]=>[3,6,1,2,7,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[3,4,7,1,2,6,5]=>[5,4,7,2,1,6,3]=>[3,6,1,2,7,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[3,4,7,1,5,2,6]=>[6,4,7,2,5,1,3]=>[3,1,5,2,7,4,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,4,7,1,5,6,2]=>[7,4,6,2,5,3,1]=>[1,3,5,2,6,4,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[3,4,7,1,6,2,5]=>[6,4,7,2,5,1,3]=>[3,1,5,2,7,4,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,4,7,1,6,5,2]=>[7,4,6,2,5,3,1]=>[1,3,5,2,6,4,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[3,4,7,2,1,5,6]=>[5,4,7,2,1,6,3]=>[3,6,1,2,7,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[3,4,7,2,1,6,5]=>[5,4,7,2,1,6,3]=>[3,6,1,2,7,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[3,4,7,2,5,1,6]=>[6,4,7,2,5,1,3]=>[3,1,5,2,7,4,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,4,7,2,5,6,1]=>[7,4,6,2,5,3,1]=>[1,3,5,2,6,4,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[3,4,7,2,6,1,5]=>[6,4,7,2,5,1,3]=>[3,1,5,2,7,4,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,4,7,2,6,5,1]=>[7,4,6,2,5,3,1]=>[1,3,5,2,6,4,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[3,4,7,5,1,2,6]=>[6,5,7,4,2,1,3]=>[3,1,2,4,7,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[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]=>[3,1,2,4,7,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[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]=>[3,1,2,4,7,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[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]=>[3,1,2,4,7,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[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]=>[7,6,2,1,3,5,4]=>[[[[.,.],[.,[[.,.],.]]],.],.]
[3,5,1,2,4,7,6]=>[4,5,3,1,2,7,6]=>[6,7,2,1,3,5,4]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[3,5,1,2,6,4,7]=>[4,6,3,1,5,2,7]=>[7,2,5,1,3,6,4]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,5,1,2,6,7,4]=>[4,7,3,1,5,6,2]=>[2,6,5,1,3,7,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[3,5,1,2,7,4,6]=>[4,6,3,1,7,2,5]=>[5,2,7,1,3,6,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[3,5,1,2,7,6,4]=>[4,7,3,1,6,5,2]=>[2,5,6,1,3,7,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[3,5,1,4,2,6,7]=>[5,4,3,2,1,6,7]=>[7,6,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[3,5,1,4,2,7,6]=>[5,4,3,2,1,7,6]=>[6,7,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[3,5,1,4,6,2,7]=>[6,4,3,2,5,1,7]=>[7,1,5,2,3,4,6]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[3,5,1,4,6,7,2]=>[7,4,3,2,5,6,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[3,5,1,4,7,2,6]=>[6,4,3,2,7,1,5]=>[5,1,7,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[3,5,1,4,7,6,2]=>[7,4,3,2,6,5,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[3,5,1,6,2,4,7]=>[5,6,3,4,1,2,7]=>[7,2,1,4,3,6,5]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[3,5,1,6,2,7,4]=>[5,7,3,4,1,6,2]=>[2,6,1,4,3,7,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[3,5,1,6,4,2,7]=>[6,5,3,4,2,1,7]=>[7,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[3,5,1,6,4,7,2]=>[7,5,3,4,2,6,1]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[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]=>[4,2,1,7,3,6,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,5,1,7,2,6,4]=>[5,7,3,6,1,4,2]=>[2,4,1,6,3,7,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[3,5,1,7,4,2,6]=>[6,5,3,7,2,1,4]=>[4,1,2,7,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[3,5,1,7,4,6,2]=>[7,5,3,6,2,4,1]=>[1,4,2,6,3,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[3,5,1,7,6,2,4]=>[6,7,3,5,4,1,2]=>[2,1,4,5,3,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[3,5,1,7,6,4,2]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[3,5,2,1,4,6,7]=>[4,5,3,1,2,6,7]=>[7,6,2,1,3,5,4]=>[[[[.,.],[.,[[.,.],.]]],.],.]
[3,5,2,1,4,7,6]=>[4,5,3,1,2,7,6]=>[6,7,2,1,3,5,4]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[3,5,2,1,6,4,7]=>[4,6,3,1,5,2,7]=>[7,2,5,1,3,6,4]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,5,2,1,6,7,4]=>[4,7,3,1,5,6,2]=>[2,6,5,1,3,7,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[3,5,2,1,7,4,6]=>[4,6,3,1,7,2,5]=>[5,2,7,1,3,6,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[3,5,2,1,7,6,4]=>[4,7,3,1,6,5,2]=>[2,5,6,1,3,7,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[3,5,2,4,1,6,7]=>[5,4,3,2,1,6,7]=>[7,6,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[3,5,2,4,1,7,6]=>[5,4,3,2,1,7,6]=>[6,7,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[3,5,2,4,6,1,7]=>[6,4,3,2,5,1,7]=>[7,1,5,2,3,4,6]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[3,5,2,4,6,7,1]=>[7,4,3,2,5,6,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[3,5,2,4,7,1,6]=>[6,4,3,2,7,1,5]=>[5,1,7,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[3,5,2,4,7,6,1]=>[7,4,3,2,6,5,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[3,5,2,6,1,4,7]=>[5,6,3,4,1,2,7]=>[7,2,1,4,3,6,5]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[3,5,2,6,1,7,4]=>[5,7,3,4,1,6,2]=>[2,6,1,4,3,7,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[3,5,2,6,4,1,7]=>[6,5,3,4,2,1,7]=>[7,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[3,5,2,6,4,7,1]=>[7,5,3,4,2,6,1]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[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]=>[4,2,1,7,3,6,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,5,2,7,1,6,4]=>[5,7,3,6,1,4,2]=>[2,4,1,6,3,7,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[3,5,2,7,4,1,6]=>[6,5,3,7,2,1,4]=>[4,1,2,7,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[3,5,2,7,4,6,1]=>[7,5,3,6,2,4,1]=>[1,4,2,6,3,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[3,5,2,7,6,1,4]=>[6,7,3,5,4,1,2]=>[2,1,4,5,3,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[3,5,2,7,6,4,1]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[3,5,4,1,2,6,7]=>[5,4,3,2,1,6,7]=>[7,6,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[3,5,4,1,2,7,6]=>[5,4,3,2,1,7,6]=>[6,7,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[3,5,4,1,6,2,7]=>[6,4,3,2,5,1,7]=>[7,1,5,2,3,4,6]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[3,5,4,1,6,7,2]=>[7,4,3,2,5,6,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[3,5,4,1,7,2,6]=>[6,4,3,2,7,1,5]=>[5,1,7,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[3,5,4,1,7,6,2]=>[7,4,3,2,6,5,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[3,5,4,2,1,6,7]=>[5,4,3,2,1,6,7]=>[7,6,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[3,5,4,2,1,7,6]=>[5,4,3,2,1,7,6]=>[6,7,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[3,5,4,2,6,1,7]=>[6,4,3,2,5,1,7]=>[7,1,5,2,3,4,6]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[3,5,4,2,6,7,1]=>[7,4,3,2,5,6,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[3,5,4,2,7,1,6]=>[6,4,3,2,7,1,5]=>[5,1,7,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[3,5,4,2,7,6,1]=>[7,4,3,2,6,5,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[3,5,4,6,1,2,7]=>[6,5,3,4,2,1,7]=>[7,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[3,5,4,6,1,7,2]=>[7,5,3,4,2,6,1]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[3,5,4,6,2,1,7]=>[6,5,3,4,2,1,7]=>[7,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[3,5,4,6,2,7,1]=>[7,5,3,4,2,6,1]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[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]=>[4,1,2,7,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[3,5,4,7,1,6,2]=>[7,5,3,6,2,4,1]=>[1,4,2,6,3,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[3,5,4,7,2,1,6]=>[6,5,3,7,2,1,4]=>[4,1,2,7,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[3,5,4,7,2,6,1]=>[7,5,3,6,2,4,1]=>[1,4,2,6,3,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[3,5,4,7,6,1,2]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[3,5,4,7,6,2,1]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[3,5,6,1,2,4,7]=>[5,6,4,3,1,2,7]=>[7,2,1,3,4,6,5]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[3,5,6,1,2,7,4]=>[5,7,4,3,1,6,2]=>[2,6,1,3,4,7,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[3,5,6,1,4,2,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[3,5,6,1,4,7,2]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[3,5,6,1,7,2,4]=>[6,7,4,3,5,1,2]=>[2,1,5,3,4,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[3,5,6,1,7,4,2]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[3,5,6,2,1,4,7]=>[5,6,4,3,1,2,7]=>[7,2,1,3,4,6,5]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[3,5,6,2,1,7,4]=>[5,7,4,3,1,6,2]=>[2,6,1,3,4,7,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[3,5,6,2,4,1,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[3,5,6,2,4,7,1]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[3,5,6,2,7,1,4]=>[6,7,4,3,5,1,2]=>[2,1,5,3,4,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[3,5,6,2,7,4,1]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[3,5,6,4,1,2,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[3,5,6,4,1,7,2]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[3,5,6,4,2,1,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[3,5,6,4,2,7,1]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[3,5,6,4,7,1,2]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[3,5,6,4,7,2,1]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[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]=>[2,3,1,4,6,7,5]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[3,5,7,1,4,2,6]=>[6,5,7,4,2,1,3]=>[3,1,2,4,7,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[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]=>[2,3,1,4,6,7,5]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[3,5,7,2,4,1,6]=>[6,5,7,4,2,1,3]=>[3,1,2,4,7,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[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]=>[3,1,2,4,7,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[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]=>[3,1,2,4,7,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[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]=>[7,2,5,1,3,6,4]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,6,1,2,4,7,5]=>[4,7,3,1,5,6,2]=>[2,6,5,1,3,7,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[3,6,1,2,5,4,7]=>[4,6,3,1,5,2,7]=>[7,2,5,1,3,6,4]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,6,1,2,5,7,4]=>[4,7,3,1,5,6,2]=>[2,6,5,1,3,7,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[3,6,1,2,7,4,5]=>[4,7,3,1,6,5,2]=>[2,5,6,1,3,7,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[3,6,1,2,7,5,4]=>[4,7,3,1,6,5,2]=>[2,5,6,1,3,7,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[3,6,1,4,2,5,7]=>[5,6,3,4,1,2,7]=>[7,2,1,4,3,6,5]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[3,6,1,4,2,7,5]=>[5,7,3,4,1,6,2]=>[2,6,1,4,3,7,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[3,6,1,4,5,2,7]=>[6,5,3,4,2,1,7]=>[7,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[3,6,1,4,5,7,2]=>[7,5,3,4,2,6,1]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[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]=>[7,2,1,4,3,6,5]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[3,6,1,5,2,7,4]=>[5,7,3,4,1,6,2]=>[2,6,1,4,3,7,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[3,6,1,5,4,2,7]=>[6,5,3,4,2,1,7]=>[7,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[3,6,1,5,4,7,2]=>[7,5,3,4,2,6,1]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[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]=>[2,4,1,6,3,7,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[3,6,1,7,2,5,4]=>[5,7,3,6,1,4,2]=>[2,4,1,6,3,7,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[3,6,1,7,4,2,5]=>[6,7,3,5,4,1,2]=>[2,1,4,5,3,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[3,6,1,7,4,5,2]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[3,6,1,7,5,2,4]=>[6,7,3,5,4,1,2]=>[2,1,4,5,3,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[3,6,1,7,5,4,2]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[3,6,2,1,4,5,7]=>[4,6,3,1,5,2,7]=>[7,2,5,1,3,6,4]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,6,2,1,4,7,5]=>[4,7,3,1,5,6,2]=>[2,6,5,1,3,7,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[3,6,2,1,5,4,7]=>[4,6,3,1,5,2,7]=>[7,2,5,1,3,6,4]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,6,2,1,5,7,4]=>[4,7,3,1,5,6,2]=>[2,6,5,1,3,7,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[3,6,2,1,7,4,5]=>[4,7,3,1,6,5,2]=>[2,5,6,1,3,7,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[3,6,2,1,7,5,4]=>[4,7,3,1,6,5,2]=>[2,5,6,1,3,7,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[3,6,2,4,1,5,7]=>[5,6,3,4,1,2,7]=>[7,2,1,4,3,6,5]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[3,6,2,4,1,7,5]=>[5,7,3,4,1,6,2]=>[2,6,1,4,3,7,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[3,6,2,4,5,1,7]=>[6,5,3,4,2,1,7]=>[7,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[3,6,2,4,5,7,1]=>[7,5,3,4,2,6,1]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[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]=>[7,2,1,4,3,6,5]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[3,6,2,5,1,7,4]=>[5,7,3,4,1,6,2]=>[2,6,1,4,3,7,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[3,6,2,5,4,1,7]=>[6,5,3,4,2,1,7]=>[7,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[3,6,2,5,4,7,1]=>[7,5,3,4,2,6,1]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[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]=>[2,4,1,6,3,7,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[3,6,2,7,1,5,4]=>[5,7,3,6,1,4,2]=>[2,4,1,6,3,7,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[3,6,2,7,4,1,5]=>[6,7,3,5,4,1,2]=>[2,1,4,5,3,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[3,6,2,7,4,5,1]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[3,6,2,7,5,1,4]=>[6,7,3,5,4,1,2]=>[2,1,4,5,3,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[3,6,2,7,5,4,1]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[3,6,4,1,2,5,7]=>[5,6,4,3,1,2,7]=>[7,2,1,3,4,6,5]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[3,6,4,1,2,7,5]=>[5,7,4,3,1,6,2]=>[2,6,1,3,4,7,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[3,6,4,1,5,2,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[3,6,4,1,5,7,2]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[3,6,4,1,7,2,5]=>[6,7,4,3,5,1,2]=>[2,1,5,3,4,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[3,6,4,1,7,5,2]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[3,6,4,2,1,5,7]=>[5,6,4,3,1,2,7]=>[7,2,1,3,4,6,5]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[3,6,4,2,1,7,5]=>[5,7,4,3,1,6,2]=>[2,6,1,3,4,7,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[3,6,4,2,5,1,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[3,6,4,2,5,7,1]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[3,6,4,2,7,1,5]=>[6,7,4,3,5,1,2]=>[2,1,5,3,4,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[3,6,4,2,7,5,1]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[3,6,4,5,1,2,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[3,6,4,5,1,7,2]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[3,6,4,5,2,1,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[3,6,4,5,2,7,1]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[3,6,4,5,7,1,2]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[3,6,4,5,7,2,1]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[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]=>[7,2,1,3,4,6,5]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[3,6,5,1,2,7,4]=>[5,7,4,3,1,6,2]=>[2,6,1,3,4,7,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[3,6,5,1,4,2,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[3,6,5,1,4,7,2]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[3,6,5,1,7,2,4]=>[6,7,4,3,5,1,2]=>[2,1,5,3,4,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[3,6,5,1,7,4,2]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[3,6,5,2,1,4,7]=>[5,6,4,3,1,2,7]=>[7,2,1,3,4,6,5]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[3,6,5,2,1,7,4]=>[5,7,4,3,1,6,2]=>[2,6,1,3,4,7,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[3,6,5,2,4,1,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[3,6,5,2,4,7,1]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[3,6,5,2,7,1,4]=>[6,7,4,3,5,1,2]=>[2,1,5,3,4,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[3,6,5,2,7,4,1]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[3,6,5,4,1,2,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[3,6,5,4,1,7,2]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[3,6,5,4,2,1,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[3,6,5,4,2,7,1]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[3,6,5,4,7,1,2]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[3,6,5,4,7,2,1]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[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]=>[2,3,1,4,6,7,5]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[3,6,7,1,2,5,4]=>[5,7,6,4,1,3,2]=>[2,3,1,4,6,7,5]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[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]=>[2,3,1,4,6,7,5]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[3,6,7,2,1,5,4]=>[5,7,6,4,1,3,2]=>[2,3,1,4,6,7,5]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[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]=>[2,6,5,1,3,7,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[3,7,1,2,4,6,5]=>[4,7,3,1,5,6,2]=>[2,6,5,1,3,7,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[3,7,1,2,5,4,6]=>[4,7,3,1,6,5,2]=>[2,5,6,1,3,7,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[3,7,1,2,5,6,4]=>[4,7,3,1,6,5,2]=>[2,5,6,1,3,7,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[3,7,1,2,6,4,5]=>[4,7,3,1,6,5,2]=>[2,5,6,1,3,7,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[3,7,1,2,6,5,4]=>[4,7,3,1,6,5,2]=>[2,5,6,1,3,7,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[3,7,1,4,2,5,6]=>[5,7,3,4,1,6,2]=>[2,6,1,4,3,7,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[3,7,1,4,2,6,5]=>[5,7,3,4,1,6,2]=>[2,6,1,4,3,7,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[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]=>[2,4,1,6,3,7,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[3,7,1,5,2,6,4]=>[5,7,3,6,1,4,2]=>[2,4,1,6,3,7,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[3,7,1,5,4,2,6]=>[6,7,3,5,4,1,2]=>[2,1,4,5,3,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[3,7,1,5,4,6,2]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[3,7,1,5,6,2,4]=>[6,7,3,5,4,1,2]=>[2,1,4,5,3,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[3,7,1,5,6,4,2]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[3,7,1,6,2,4,5]=>[5,7,3,6,1,4,2]=>[2,4,1,6,3,7,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[3,7,1,6,2,5,4]=>[5,7,3,6,1,4,2]=>[2,4,1,6,3,7,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[3,7,1,6,4,2,5]=>[6,7,3,5,4,1,2]=>[2,1,4,5,3,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[3,7,1,6,4,5,2]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[3,7,1,6,5,2,4]=>[6,7,3,5,4,1,2]=>[2,1,4,5,3,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[3,7,1,6,5,4,2]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[3,7,2,1,4,5,6]=>[4,7,3,1,5,6,2]=>[2,6,5,1,3,7,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[3,7,2,1,4,6,5]=>[4,7,3,1,5,6,2]=>[2,6,5,1,3,7,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[3,7,2,1,5,4,6]=>[4,7,3,1,6,5,2]=>[2,5,6,1,3,7,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[3,7,2,1,5,6,4]=>[4,7,3,1,6,5,2]=>[2,5,6,1,3,7,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[3,7,2,1,6,4,5]=>[4,7,3,1,6,5,2]=>[2,5,6,1,3,7,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[3,7,2,1,6,5,4]=>[4,7,3,1,6,5,2]=>[2,5,6,1,3,7,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[3,7,2,4,1,5,6]=>[5,7,3,4,1,6,2]=>[2,6,1,4,3,7,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[3,7,2,4,1,6,5]=>[5,7,3,4,1,6,2]=>[2,6,1,4,3,7,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[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]=>[2,4,1,6,3,7,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[3,7,2,5,1,6,4]=>[5,7,3,6,1,4,2]=>[2,4,1,6,3,7,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[3,7,2,5,4,1,6]=>[6,7,3,5,4,1,2]=>[2,1,4,5,3,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[3,7,2,5,4,6,1]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[3,7,2,5,6,1,4]=>[6,7,3,5,4,1,2]=>[2,1,4,5,3,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[3,7,2,5,6,4,1]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[3,7,2,6,1,4,5]=>[5,7,3,6,1,4,2]=>[2,4,1,6,3,7,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[3,7,2,6,1,5,4]=>[5,7,3,6,1,4,2]=>[2,4,1,6,3,7,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[3,7,2,6,4,1,5]=>[6,7,3,5,4,1,2]=>[2,1,4,5,3,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[3,7,2,6,4,5,1]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[3,7,2,6,5,1,4]=>[6,7,3,5,4,1,2]=>[2,1,4,5,3,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[3,7,2,6,5,4,1]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[3,7,4,1,2,5,6]=>[5,7,4,3,1,6,2]=>[2,6,1,3,4,7,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[3,7,4,1,2,6,5]=>[5,7,4,3,1,6,2]=>[2,6,1,3,4,7,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[3,7,4,1,5,2,6]=>[6,7,4,3,5,1,2]=>[2,1,5,3,4,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[3,7,4,1,5,6,2]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[3,7,4,1,6,2,5]=>[6,7,4,3,5,1,2]=>[2,1,5,3,4,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[3,7,4,1,6,5,2]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[3,7,4,2,1,5,6]=>[5,7,4,3,1,6,2]=>[2,6,1,3,4,7,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[3,7,4,2,1,6,5]=>[5,7,4,3,1,6,2]=>[2,6,1,3,4,7,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[3,7,4,2,5,1,6]=>[6,7,4,3,5,1,2]=>[2,1,5,3,4,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[3,7,4,2,5,6,1]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[3,7,4,2,6,1,5]=>[6,7,4,3,5,1,2]=>[2,1,5,3,4,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[3,7,4,2,6,5,1]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[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]=>[2,3,1,4,6,7,5]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[3,7,5,1,2,6,4]=>[5,7,6,4,1,3,2]=>[2,3,1,4,6,7,5]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[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]=>[2,3,1,4,6,7,5]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[3,7,5,2,1,6,4]=>[5,7,6,4,1,3,2]=>[2,3,1,4,6,7,5]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[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]=>[2,3,1,4,6,7,5]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[3,7,6,1,2,5,4]=>[5,7,6,4,1,3,2]=>[2,3,1,4,6,7,5]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[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]=>[2,3,1,4,6,7,5]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[3,7,6,2,1,5,4]=>[5,7,6,4,1,3,2]=>[2,3,1,4,6,7,5]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[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]=>[7,6,5,1,3,2,4]=>[[[[.,[[.,.],[.,.]]],.],.],.]
[4,1,2,3,5,7,6]=>[4,2,3,1,5,7,6]=>[6,7,5,1,3,2,4]=>[[[.,[[.,.],[.,.]]],.],[.,.]]
[4,1,2,3,6,5,7]=>[4,2,3,1,6,5,7]=>[7,5,6,1,3,2,4]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[4,1,2,3,6,7,5]=>[4,2,3,1,7,6,5]=>[5,6,7,1,3,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[4,1,2,3,7,5,6]=>[4,2,3,1,7,6,5]=>[5,6,7,1,3,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[4,1,2,3,7,6,5]=>[4,2,3,1,7,6,5]=>[5,6,7,1,3,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[4,1,2,5,3,6,7]=>[5,2,3,4,1,6,7]=>[7,6,1,4,3,2,5]=>[[[.,[[[.,.],.],[.,.]]],.],.]
[4,1,2,5,3,7,6]=>[5,2,3,4,1,7,6]=>[6,7,1,4,3,2,5]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[4,1,2,5,6,3,7]=>[6,2,3,4,5,1,7]=>[7,1,5,4,3,2,6]=>[[.,[[[[.,.],.],.],[.,.]]],.]
[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]=>[5,1,7,4,3,2,6]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[4,1,2,5,7,6,3]=>[7,2,3,4,6,5,1]=>[1,5,6,4,3,2,7]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[4,1,2,6,3,5,7]=>[5,2,3,6,1,4,7]=>[7,4,1,6,3,2,5]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[4,1,2,6,3,7,5]=>[5,2,3,7,1,6,4]=>[4,6,1,7,3,2,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[4,1,2,6,5,3,7]=>[6,2,3,5,4,1,7]=>[7,1,4,5,3,2,6]=>[[.,[[[.,.],.],[.,[.,.]]]],.]
[4,1,2,6,5,7,3]=>[7,2,3,5,4,6,1]=>[1,6,4,5,3,2,7]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[4,1,2,6,7,3,5]=>[6,2,3,7,5,1,4]=>[4,1,5,7,3,2,6]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[4,1,2,6,7,5,3]=>[7,2,3,6,5,4,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[4,1,2,7,3,5,6]=>[5,2,3,7,1,6,4]=>[4,6,1,7,3,2,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[4,1,2,7,3,6,5]=>[5,2,3,7,1,6,4]=>[4,6,1,7,3,2,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[4,1,2,7,5,3,6]=>[6,2,3,7,5,1,4]=>[4,1,5,7,3,2,6]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[4,1,2,7,5,6,3]=>[7,2,3,6,5,4,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[4,1,2,7,6,3,5]=>[6,2,3,7,5,1,4]=>[4,1,5,7,3,2,6]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[4,1,2,7,6,5,3]=>[7,2,3,6,5,4,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[4,1,3,2,5,6,7]=>[4,2,3,1,5,6,7]=>[7,6,5,1,3,2,4]=>[[[[.,[[.,.],[.,.]]],.],.],.]
[4,1,3,2,5,7,6]=>[4,2,3,1,5,7,6]=>[6,7,5,1,3,2,4]=>[[[.,[[.,.],[.,.]]],.],[.,.]]
[4,1,3,2,6,5,7]=>[4,2,3,1,6,5,7]=>[7,5,6,1,3,2,4]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[4,1,3,2,6,7,5]=>[4,2,3,1,7,6,5]=>[5,6,7,1,3,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[4,1,3,2,7,5,6]=>[4,2,3,1,7,6,5]=>[5,6,7,1,3,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[4,1,3,2,7,6,5]=>[4,2,3,1,7,6,5]=>[5,6,7,1,3,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[4,1,3,5,2,6,7]=>[5,2,3,4,1,6,7]=>[7,6,1,4,3,2,5]=>[[[.,[[[.,.],.],[.,.]]],.],.]
[4,1,3,5,2,7,6]=>[5,2,3,4,1,7,6]=>[6,7,1,4,3,2,5]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[4,1,3,5,6,2,7]=>[6,2,3,4,5,1,7]=>[7,1,5,4,3,2,6]=>[[.,[[[[.,.],.],.],[.,.]]],.]
[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]=>[5,1,7,4,3,2,6]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[4,1,3,5,7,6,2]=>[7,2,3,4,6,5,1]=>[1,5,6,4,3,2,7]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[4,1,3,6,2,5,7]=>[5,2,3,6,1,4,7]=>[7,4,1,6,3,2,5]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[4,1,3,6,2,7,5]=>[5,2,3,7,1,6,4]=>[4,6,1,7,3,2,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[4,1,3,6,5,2,7]=>[6,2,3,5,4,1,7]=>[7,1,4,5,3,2,6]=>[[.,[[[.,.],.],[.,[.,.]]]],.]
[4,1,3,6,5,7,2]=>[7,2,3,5,4,6,1]=>[1,6,4,5,3,2,7]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[4,1,3,6,7,2,5]=>[6,2,3,7,5,1,4]=>[4,1,5,7,3,2,6]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[4,1,3,6,7,5,2]=>[7,2,3,6,5,4,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[4,1,3,7,2,5,6]=>[5,2,3,7,1,6,4]=>[4,6,1,7,3,2,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[4,1,3,7,2,6,5]=>[5,2,3,7,1,6,4]=>[4,6,1,7,3,2,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[4,1,3,7,5,2,6]=>[6,2,3,7,5,1,4]=>[4,1,5,7,3,2,6]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[4,1,3,7,5,6,2]=>[7,2,3,6,5,4,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[4,1,3,7,6,2,5]=>[6,2,3,7,5,1,4]=>[4,1,5,7,3,2,6]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[4,1,3,7,6,5,2]=>[7,2,3,6,5,4,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[4,1,5,2,3,6,7]=>[5,2,4,3,1,6,7]=>[7,6,1,3,4,2,5]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[4,1,5,2,3,7,6]=>[5,2,4,3,1,7,6]=>[6,7,1,3,4,2,5]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[4,1,5,2,6,3,7]=>[6,2,4,3,5,1,7]=>[7,1,5,3,4,2,6]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[4,1,5,2,6,7,3]=>[7,2,4,3,5,6,1]=>[1,6,5,3,4,2,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[4,1,5,2,7,3,6]=>[6,2,4,3,7,1,5]=>[5,1,7,3,4,2,6]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[4,1,5,2,7,6,3]=>[7,2,4,3,6,5,1]=>[1,5,6,3,4,2,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[4,1,5,3,2,6,7]=>[5,2,4,3,1,6,7]=>[7,6,1,3,4,2,5]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[4,1,5,3,2,7,6]=>[5,2,4,3,1,7,6]=>[6,7,1,3,4,2,5]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[4,1,5,3,6,2,7]=>[6,2,4,3,5,1,7]=>[7,1,5,3,4,2,6]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[4,1,5,3,6,7,2]=>[7,2,4,3,5,6,1]=>[1,6,5,3,4,2,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[4,1,5,3,7,2,6]=>[6,2,4,3,7,1,5]=>[5,1,7,3,4,2,6]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[4,1,5,3,7,6,2]=>[7,2,4,3,6,5,1]=>[1,5,6,3,4,2,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[4,1,5,6,2,3,7]=>[6,2,5,4,3,1,7]=>[7,1,3,4,5,2,6]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[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]=>[7,1,3,4,5,2,6]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[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]=>[1,3,5,4,6,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,1,5,6,7,3,2]=>[7,2,6,4,5,3,1]=>[1,3,5,4,6,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,1,5,7,2,3,6]=>[6,2,5,7,3,1,4]=>[4,1,3,7,5,2,6]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[4,1,5,7,2,6,3]=>[7,2,5,6,3,4,1]=>[1,4,3,6,5,2,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[4,1,5,7,3,2,6]=>[6,2,5,7,3,1,4]=>[4,1,3,7,5,2,6]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[4,1,5,7,3,6,2]=>[7,2,5,6,3,4,1]=>[1,4,3,6,5,2,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[4,1,5,7,6,2,3]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[4,1,5,7,6,3,2]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[4,1,6,2,3,5,7]=>[5,2,6,4,1,3,7]=>[7,3,1,4,6,2,5]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[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]=>[7,1,3,4,5,2,6]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[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]=>[3,1,5,4,7,2,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,1,6,2,7,5,3]=>[7,2,6,4,5,3,1]=>[1,3,5,4,6,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,1,6,3,2,5,7]=>[5,2,6,4,1,3,7]=>[7,3,1,4,6,2,5]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[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]=>[7,1,3,4,5,2,6]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[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]=>[3,1,5,4,7,2,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,1,6,3,7,5,2]=>[7,2,6,4,5,3,1]=>[1,3,5,4,6,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,1,6,5,2,3,7]=>[6,2,5,4,3,1,7]=>[7,1,3,4,5,2,6]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[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]=>[7,1,3,4,5,2,6]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[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]=>[1,3,5,4,6,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,1,6,5,7,3,2]=>[7,2,6,4,5,3,1]=>[1,3,5,4,6,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,1,6,7,2,3,5]=>[6,2,7,5,4,1,3]=>[3,1,4,5,7,2,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[4,1,6,7,2,5,3]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[4,1,6,7,3,2,5]=>[6,2,7,5,4,1,3]=>[3,1,4,5,7,2,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[4,1,6,7,3,5,2]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[4,1,6,7,5,2,3]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[4,1,6,7,5,3,2]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[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]=>[3,1,5,4,7,2,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,1,7,2,5,6,3]=>[7,2,6,4,5,3,1]=>[1,3,5,4,6,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,1,7,2,6,3,5]=>[6,2,7,4,5,1,3]=>[3,1,5,4,7,2,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,1,7,2,6,5,3]=>[7,2,6,4,5,3,1]=>[1,3,5,4,6,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[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]=>[3,1,5,4,7,2,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,1,7,3,5,6,2]=>[7,2,6,4,5,3,1]=>[1,3,5,4,6,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,1,7,3,6,2,5]=>[6,2,7,4,5,1,3]=>[3,1,5,4,7,2,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,1,7,3,6,5,2]=>[7,2,6,4,5,3,1]=>[1,3,5,4,6,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,1,7,5,2,3,6]=>[6,2,7,5,4,1,3]=>[3,1,4,5,7,2,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[4,1,7,5,2,6,3]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[4,1,7,5,3,2,6]=>[6,2,7,5,4,1,3]=>[3,1,4,5,7,2,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[4,1,7,5,3,6,2]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[4,1,7,5,6,2,3]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[4,1,7,5,6,3,2]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[4,1,7,6,2,3,5]=>[6,2,7,5,4,1,3]=>[3,1,4,5,7,2,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[4,1,7,6,2,5,3]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[4,1,7,6,3,2,5]=>[6,2,7,5,4,1,3]=>[3,1,4,5,7,2,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[4,1,7,6,3,5,2]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[4,1,7,6,5,2,3]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[4,1,7,6,5,3,2]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[4,2,1,3,5,6,7]=>[4,3,2,1,5,6,7]=>[7,6,5,1,2,3,4]=>[[[[.,[.,[.,[.,.]]]],.],.],.]
[4,2,1,3,5,7,6]=>[4,3,2,1,5,7,6]=>[6,7,5,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],.],[.,.]]
[4,2,1,3,6,5,7]=>[4,3,2,1,6,5,7]=>[7,5,6,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[4,2,1,3,6,7,5]=>[4,3,2,1,7,6,5]=>[5,6,7,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[4,2,1,3,7,5,6]=>[4,3,2,1,7,6,5]=>[5,6,7,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[4,2,1,3,7,6,5]=>[4,3,2,1,7,6,5]=>[5,6,7,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[4,2,1,5,3,6,7]=>[5,3,2,4,1,6,7]=>[7,6,1,4,2,3,5]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[4,2,1,5,3,7,6]=>[5,3,2,4,1,7,6]=>[6,7,1,4,2,3,5]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[4,2,1,5,6,3,7]=>[6,3,2,4,5,1,7]=>[7,1,5,4,2,3,6]=>[[.,[[[.,[.,.]],.],[.,.]]],.]
[4,2,1,5,6,7,3]=>[7,3,2,4,5,6,1]=>[1,6,5,4,2,3,7]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[4,2,1,5,7,3,6]=>[6,3,2,4,7,1,5]=>[5,1,7,4,2,3,6]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[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]=>[7,4,1,6,2,3,5]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[4,2,1,6,3,7,5]=>[5,3,2,7,1,6,4]=>[4,6,1,7,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[4,2,1,6,5,3,7]=>[6,3,2,5,4,1,7]=>[7,1,4,5,2,3,6]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[4,2,1,6,5,7,3]=>[7,3,2,5,4,6,1]=>[1,6,4,5,2,3,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[4,2,1,6,7,3,5]=>[6,3,2,7,5,1,4]=>[4,1,5,7,2,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[4,2,1,6,7,5,3]=>[7,3,2,6,5,4,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[4,2,1,7,3,5,6]=>[5,3,2,7,1,6,4]=>[4,6,1,7,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[4,2,1,7,3,6,5]=>[5,3,2,7,1,6,4]=>[4,6,1,7,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[4,2,1,7,5,3,6]=>[6,3,2,7,5,1,4]=>[4,1,5,7,2,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[4,2,1,7,5,6,3]=>[7,3,2,6,5,4,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[4,2,1,7,6,3,5]=>[6,3,2,7,5,1,4]=>[4,1,5,7,2,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[4,2,1,7,6,5,3]=>[7,3,2,6,5,4,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[4,2,3,1,5,6,7]=>[4,3,2,1,5,6,7]=>[7,6,5,1,2,3,4]=>[[[[.,[.,[.,[.,.]]]],.],.],.]
[4,2,3,1,5,7,6]=>[4,3,2,1,5,7,6]=>[6,7,5,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],.],[.,.]]
[4,2,3,1,6,5,7]=>[4,3,2,1,6,5,7]=>[7,5,6,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[4,2,3,1,6,7,5]=>[4,3,2,1,7,6,5]=>[5,6,7,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[4,2,3,1,7,5,6]=>[4,3,2,1,7,6,5]=>[5,6,7,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[4,2,3,1,7,6,5]=>[4,3,2,1,7,6,5]=>[5,6,7,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[4,2,3,5,1,6,7]=>[5,3,2,4,1,6,7]=>[7,6,1,4,2,3,5]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[4,2,3,5,1,7,6]=>[5,3,2,4,1,7,6]=>[6,7,1,4,2,3,5]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[4,2,3,5,6,1,7]=>[6,3,2,4,5,1,7]=>[7,1,5,4,2,3,6]=>[[.,[[[.,[.,.]],.],[.,.]]],.]
[4,2,3,5,6,7,1]=>[7,3,2,4,5,6,1]=>[1,6,5,4,2,3,7]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[4,2,3,5,7,1,6]=>[6,3,2,4,7,1,5]=>[5,1,7,4,2,3,6]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[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]=>[7,4,1,6,2,3,5]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[4,2,3,6,1,7,5]=>[5,3,2,7,1,6,4]=>[4,6,1,7,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[4,2,3,6,5,1,7]=>[6,3,2,5,4,1,7]=>[7,1,4,5,2,3,6]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[4,2,3,6,5,7,1]=>[7,3,2,5,4,6,1]=>[1,6,4,5,2,3,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[4,2,3,6,7,1,5]=>[6,3,2,7,5,1,4]=>[4,1,5,7,2,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[4,2,3,6,7,5,1]=>[7,3,2,6,5,4,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[4,2,3,7,1,5,6]=>[5,3,2,7,1,6,4]=>[4,6,1,7,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[4,2,3,7,1,6,5]=>[5,3,2,7,1,6,4]=>[4,6,1,7,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[4,2,3,7,5,1,6]=>[6,3,2,7,5,1,4]=>[4,1,5,7,2,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[4,2,3,7,5,6,1]=>[7,3,2,6,5,4,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[4,2,3,7,6,1,5]=>[6,3,2,7,5,1,4]=>[4,1,5,7,2,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[4,2,3,7,6,5,1]=>[7,3,2,6,5,4,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[4,2,5,1,3,6,7]=>[5,4,3,2,1,6,7]=>[7,6,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[4,2,5,1,3,7,6]=>[5,4,3,2,1,7,6]=>[6,7,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[4,2,5,1,6,3,7]=>[6,4,3,2,5,1,7]=>[7,1,5,2,3,4,6]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[4,2,5,1,6,7,3]=>[7,4,3,2,5,6,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[4,2,5,1,7,3,6]=>[6,4,3,2,7,1,5]=>[5,1,7,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[4,2,5,1,7,6,3]=>[7,4,3,2,6,5,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[4,2,5,3,1,6,7]=>[5,4,3,2,1,6,7]=>[7,6,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[4,2,5,3,1,7,6]=>[5,4,3,2,1,7,6]=>[6,7,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[4,2,5,3,6,1,7]=>[6,4,3,2,5,1,7]=>[7,1,5,2,3,4,6]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[4,2,5,3,6,7,1]=>[7,4,3,2,5,6,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[4,2,5,3,7,1,6]=>[6,4,3,2,7,1,5]=>[5,1,7,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[4,2,5,3,7,6,1]=>[7,4,3,2,6,5,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[4,2,5,6,1,3,7]=>[6,5,3,4,2,1,7]=>[7,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[4,2,5,6,1,7,3]=>[7,5,3,4,2,6,1]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[4,2,5,6,3,1,7]=>[6,5,3,4,2,1,7]=>[7,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[4,2,5,6,3,7,1]=>[7,5,3,4,2,6,1]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[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]=>[4,1,2,7,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[4,2,5,7,1,6,3]=>[7,5,3,6,2,4,1]=>[1,4,2,6,3,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[4,2,5,7,3,1,6]=>[6,5,3,7,2,1,4]=>[4,1,2,7,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[4,2,5,7,3,6,1]=>[7,5,3,6,2,4,1]=>[1,4,2,6,3,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[4,2,5,7,6,1,3]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[4,2,5,7,6,3,1]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[4,2,6,1,3,5,7]=>[5,4,6,2,1,3,7]=>[7,3,1,2,6,4,5]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[4,2,6,1,3,7,5]=>[5,4,7,2,1,6,3]=>[3,6,1,2,7,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[4,2,6,1,5,3,7]=>[6,4,5,2,3,1,7]=>[7,1,3,2,5,4,6]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[4,2,6,1,5,7,3]=>[7,4,5,2,3,6,1]=>[1,6,3,2,5,4,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[4,2,6,1,7,3,5]=>[6,4,7,2,5,1,3]=>[3,1,5,2,7,4,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,2,6,1,7,5,3]=>[7,4,6,2,5,3,1]=>[1,3,5,2,6,4,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,2,6,3,1,5,7]=>[5,4,6,2,1,3,7]=>[7,3,1,2,6,4,5]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[4,2,6,3,1,7,5]=>[5,4,7,2,1,6,3]=>[3,6,1,2,7,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[4,2,6,3,5,1,7]=>[6,4,5,2,3,1,7]=>[7,1,3,2,5,4,6]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[4,2,6,3,5,7,1]=>[7,4,5,2,3,6,1]=>[1,6,3,2,5,4,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[4,2,6,3,7,1,5]=>[6,4,7,2,5,1,3]=>[3,1,5,2,7,4,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,2,6,3,7,5,1]=>[7,4,6,2,5,3,1]=>[1,3,5,2,6,4,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,2,6,5,1,3,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[4,2,6,5,1,7,3]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,2,6,5,3,1,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[4,2,6,5,3,7,1]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,2,6,5,7,1,3]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,2,6,5,7,3,1]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,2,6,7,1,3,5]=>[6,5,7,4,2,1,3]=>[3,1,2,4,7,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[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]=>[3,1,2,4,7,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[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]=>[3,6,1,2,7,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[4,2,7,1,3,6,5]=>[5,4,7,2,1,6,3]=>[3,6,1,2,7,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[4,2,7,1,5,3,6]=>[6,4,7,2,5,1,3]=>[3,1,5,2,7,4,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,2,7,1,5,6,3]=>[7,4,6,2,5,3,1]=>[1,3,5,2,6,4,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,2,7,1,6,3,5]=>[6,4,7,2,5,1,3]=>[3,1,5,2,7,4,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,2,7,1,6,5,3]=>[7,4,6,2,5,3,1]=>[1,3,5,2,6,4,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,2,7,3,1,5,6]=>[5,4,7,2,1,6,3]=>[3,6,1,2,7,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[4,2,7,3,1,6,5]=>[5,4,7,2,1,6,3]=>[3,6,1,2,7,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[4,2,7,3,5,1,6]=>[6,4,7,2,5,1,3]=>[3,1,5,2,7,4,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,2,7,3,5,6,1]=>[7,4,6,2,5,3,1]=>[1,3,5,2,6,4,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,2,7,3,6,1,5]=>[6,4,7,2,5,1,3]=>[3,1,5,2,7,4,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,2,7,3,6,5,1]=>[7,4,6,2,5,3,1]=>[1,3,5,2,6,4,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,2,7,5,1,3,6]=>[6,5,7,4,2,1,3]=>[3,1,2,4,7,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[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]=>[3,1,2,4,7,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[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]=>[3,1,2,4,7,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[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]=>[3,1,2,4,7,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[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]=>[7,6,5,1,2,3,4]=>[[[[.,[.,[.,[.,.]]]],.],.],.]
[4,3,1,2,5,7,6]=>[4,3,2,1,5,7,6]=>[6,7,5,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],.],[.,.]]
[4,3,1,2,6,5,7]=>[4,3,2,1,6,5,7]=>[7,5,6,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[4,3,1,2,6,7,5]=>[4,3,2,1,7,6,5]=>[5,6,7,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[4,3,1,2,7,5,6]=>[4,3,2,1,7,6,5]=>[5,6,7,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[4,3,1,2,7,6,5]=>[4,3,2,1,7,6,5]=>[5,6,7,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[4,3,1,5,2,6,7]=>[5,3,2,4,1,6,7]=>[7,6,1,4,2,3,5]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[4,3,1,5,2,7,6]=>[5,3,2,4,1,7,6]=>[6,7,1,4,2,3,5]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[4,3,1,5,6,2,7]=>[6,3,2,4,5,1,7]=>[7,1,5,4,2,3,6]=>[[.,[[[.,[.,.]],.],[.,.]]],.]
[4,3,1,5,6,7,2]=>[7,3,2,4,5,6,1]=>[1,6,5,4,2,3,7]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[4,3,1,5,7,2,6]=>[6,3,2,4,7,1,5]=>[5,1,7,4,2,3,6]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[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]=>[7,4,1,6,2,3,5]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[4,3,1,6,2,7,5]=>[5,3,2,7,1,6,4]=>[4,6,1,7,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[4,3,1,6,5,2,7]=>[6,3,2,5,4,1,7]=>[7,1,4,5,2,3,6]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[4,3,1,6,5,7,2]=>[7,3,2,5,4,6,1]=>[1,6,4,5,2,3,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[4,3,1,6,7,2,5]=>[6,3,2,7,5,1,4]=>[4,1,5,7,2,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[4,3,1,6,7,5,2]=>[7,3,2,6,5,4,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[4,3,1,7,2,5,6]=>[5,3,2,7,1,6,4]=>[4,6,1,7,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[4,3,1,7,2,6,5]=>[5,3,2,7,1,6,4]=>[4,6,1,7,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[4,3,1,7,5,2,6]=>[6,3,2,7,5,1,4]=>[4,1,5,7,2,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[4,3,1,7,5,6,2]=>[7,3,2,6,5,4,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[4,3,1,7,6,2,5]=>[6,3,2,7,5,1,4]=>[4,1,5,7,2,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[4,3,1,7,6,5,2]=>[7,3,2,6,5,4,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[4,3,2,1,5,6,7]=>[4,3,2,1,5,6,7]=>[7,6,5,1,2,3,4]=>[[[[.,[.,[.,[.,.]]]],.],.],.]
[4,3,2,1,5,7,6]=>[4,3,2,1,5,7,6]=>[6,7,5,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],.],[.,.]]
[4,3,2,1,6,5,7]=>[4,3,2,1,6,5,7]=>[7,5,6,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[4,3,2,1,6,7,5]=>[4,3,2,1,7,6,5]=>[5,6,7,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[4,3,2,1,7,5,6]=>[4,3,2,1,7,6,5]=>[5,6,7,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[4,3,2,1,7,6,5]=>[4,3,2,1,7,6,5]=>[5,6,7,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[4,3,2,5,1,6,7]=>[5,3,2,4,1,6,7]=>[7,6,1,4,2,3,5]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[4,3,2,5,1,7,6]=>[5,3,2,4,1,7,6]=>[6,7,1,4,2,3,5]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[4,3,2,5,6,1,7]=>[6,3,2,4,5,1,7]=>[7,1,5,4,2,3,6]=>[[.,[[[.,[.,.]],.],[.,.]]],.]
[4,3,2,5,6,7,1]=>[7,3,2,4,5,6,1]=>[1,6,5,4,2,3,7]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[4,3,2,5,7,1,6]=>[6,3,2,4,7,1,5]=>[5,1,7,4,2,3,6]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[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]=>[7,4,1,6,2,3,5]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[4,3,2,6,1,7,5]=>[5,3,2,7,1,6,4]=>[4,6,1,7,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[4,3,2,6,5,1,7]=>[6,3,2,5,4,1,7]=>[7,1,4,5,2,3,6]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[4,3,2,6,5,7,1]=>[7,3,2,5,4,6,1]=>[1,6,4,5,2,3,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[4,3,2,6,7,1,5]=>[6,3,2,7,5,1,4]=>[4,1,5,7,2,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[4,3,2,6,7,5,1]=>[7,3,2,6,5,4,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[4,3,2,7,1,5,6]=>[5,3,2,7,1,6,4]=>[4,6,1,7,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[4,3,2,7,1,6,5]=>[5,3,2,7,1,6,4]=>[4,6,1,7,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[4,3,2,7,5,1,6]=>[6,3,2,7,5,1,4]=>[4,1,5,7,2,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[4,3,2,7,5,6,1]=>[7,3,2,6,5,4,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[4,3,2,7,6,1,5]=>[6,3,2,7,5,1,4]=>[4,1,5,7,2,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[4,3,2,7,6,5,1]=>[7,3,2,6,5,4,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[4,3,5,1,2,6,7]=>[5,4,3,2,1,6,7]=>[7,6,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[4,3,5,1,2,7,6]=>[5,4,3,2,1,7,6]=>[6,7,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[4,3,5,1,6,2,7]=>[6,4,3,2,5,1,7]=>[7,1,5,2,3,4,6]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[4,3,5,1,6,7,2]=>[7,4,3,2,5,6,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[4,3,5,1,7,2,6]=>[6,4,3,2,7,1,5]=>[5,1,7,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[4,3,5,1,7,6,2]=>[7,4,3,2,6,5,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[4,3,5,2,1,6,7]=>[5,4,3,2,1,6,7]=>[7,6,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[4,3,5,2,1,7,6]=>[5,4,3,2,1,7,6]=>[6,7,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[4,3,5,2,6,1,7]=>[6,4,3,2,5,1,7]=>[7,1,5,2,3,4,6]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[4,3,5,2,6,7,1]=>[7,4,3,2,5,6,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[4,3,5,2,7,1,6]=>[6,4,3,2,7,1,5]=>[5,1,7,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[4,3,5,2,7,6,1]=>[7,4,3,2,6,5,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[4,3,5,6,1,2,7]=>[6,5,3,4,2,1,7]=>[7,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[4,3,5,6,1,7,2]=>[7,5,3,4,2,6,1]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[4,3,5,6,2,1,7]=>[6,5,3,4,2,1,7]=>[7,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[4,3,5,6,2,7,1]=>[7,5,3,4,2,6,1]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[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]=>[4,1,2,7,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[4,3,5,7,1,6,2]=>[7,5,3,6,2,4,1]=>[1,4,2,6,3,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[4,3,5,7,2,1,6]=>[6,5,3,7,2,1,4]=>[4,1,2,7,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[4,3,5,7,2,6,1]=>[7,5,3,6,2,4,1]=>[1,4,2,6,3,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[4,3,5,7,6,1,2]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[4,3,5,7,6,2,1]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[4,3,6,1,2,5,7]=>[5,4,6,2,1,3,7]=>[7,3,1,2,6,4,5]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[4,3,6,1,2,7,5]=>[5,4,7,2,1,6,3]=>[3,6,1,2,7,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[4,3,6,1,5,2,7]=>[6,4,5,2,3,1,7]=>[7,1,3,2,5,4,6]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[4,3,6,1,5,7,2]=>[7,4,5,2,3,6,1]=>[1,6,3,2,5,4,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[4,3,6,1,7,2,5]=>[6,4,7,2,5,1,3]=>[3,1,5,2,7,4,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,3,6,1,7,5,2]=>[7,4,6,2,5,3,1]=>[1,3,5,2,6,4,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,3,6,2,1,5,7]=>[5,4,6,2,1,3,7]=>[7,3,1,2,6,4,5]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[4,3,6,2,1,7,5]=>[5,4,7,2,1,6,3]=>[3,6,1,2,7,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[4,3,6,2,5,1,7]=>[6,4,5,2,3,1,7]=>[7,1,3,2,5,4,6]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[4,3,6,2,5,7,1]=>[7,4,5,2,3,6,1]=>[1,6,3,2,5,4,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[4,3,6,2,7,1,5]=>[6,4,7,2,5,1,3]=>[3,1,5,2,7,4,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,3,6,2,7,5,1]=>[7,4,6,2,5,3,1]=>[1,3,5,2,6,4,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,3,6,5,1,2,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[4,3,6,5,1,7,2]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,3,6,5,2,1,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[4,3,6,5,2,7,1]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,3,6,5,7,1,2]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,3,6,5,7,2,1]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,3,6,7,1,2,5]=>[6,5,7,4,2,1,3]=>[3,1,2,4,7,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[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]=>[3,1,2,4,7,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[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]=>[3,6,1,2,7,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[4,3,7,1,2,6,5]=>[5,4,7,2,1,6,3]=>[3,6,1,2,7,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[4,3,7,1,5,2,6]=>[6,4,7,2,5,1,3]=>[3,1,5,2,7,4,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,3,7,1,5,6,2]=>[7,4,6,2,5,3,1]=>[1,3,5,2,6,4,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,3,7,1,6,2,5]=>[6,4,7,2,5,1,3]=>[3,1,5,2,7,4,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,3,7,1,6,5,2]=>[7,4,6,2,5,3,1]=>[1,3,5,2,6,4,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,3,7,2,1,5,6]=>[5,4,7,2,1,6,3]=>[3,6,1,2,7,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[4,3,7,2,1,6,5]=>[5,4,7,2,1,6,3]=>[3,6,1,2,7,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[4,3,7,2,5,1,6]=>[6,4,7,2,5,1,3]=>[3,1,5,2,7,4,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,3,7,2,5,6,1]=>[7,4,6,2,5,3,1]=>[1,3,5,2,6,4,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,3,7,2,6,1,5]=>[6,4,7,2,5,1,3]=>[3,1,5,2,7,4,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,3,7,2,6,5,1]=>[7,4,6,2,5,3,1]=>[1,3,5,2,6,4,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,3,7,5,1,2,6]=>[6,5,7,4,2,1,3]=>[3,1,2,4,7,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[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]=>[3,1,2,4,7,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[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]=>[3,1,2,4,7,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[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]=>[3,1,2,4,7,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[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]=>[7,6,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[4,5,1,2,3,7,6]=>[5,4,3,2,1,7,6]=>[6,7,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[4,5,1,2,6,3,7]=>[6,4,3,2,5,1,7]=>[7,1,5,2,3,4,6]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[4,5,1,2,6,7,3]=>[7,4,3,2,5,6,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[4,5,1,2,7,3,6]=>[6,4,3,2,7,1,5]=>[5,1,7,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[4,5,1,2,7,6,3]=>[7,4,3,2,6,5,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[4,5,1,3,2,6,7]=>[5,4,3,2,1,6,7]=>[7,6,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[4,5,1,3,2,7,6]=>[5,4,3,2,1,7,6]=>[6,7,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[4,5,1,3,6,2,7]=>[6,4,3,2,5,1,7]=>[7,1,5,2,3,4,6]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[4,5,1,3,6,7,2]=>[7,4,3,2,5,6,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[4,5,1,3,7,2,6]=>[6,4,3,2,7,1,5]=>[5,1,7,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[4,5,1,3,7,6,2]=>[7,4,3,2,6,5,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[4,5,1,6,2,3,7]=>[6,5,3,4,2,1,7]=>[7,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[4,5,1,6,2,7,3]=>[7,5,3,4,2,6,1]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[4,5,1,6,3,2,7]=>[6,5,3,4,2,1,7]=>[7,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[4,5,1,6,3,7,2]=>[7,5,3,4,2,6,1]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[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]=>[4,1,2,7,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[4,5,1,7,2,6,3]=>[7,5,3,6,2,4,1]=>[1,4,2,6,3,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[4,5,1,7,3,2,6]=>[6,5,3,7,2,1,4]=>[4,1,2,7,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[4,5,1,7,3,6,2]=>[7,5,3,6,2,4,1]=>[1,4,2,6,3,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[4,5,1,7,6,2,3]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[4,5,1,7,6,3,2]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[4,5,2,1,3,6,7]=>[5,4,3,2,1,6,7]=>[7,6,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[4,5,2,1,3,7,6]=>[5,4,3,2,1,7,6]=>[6,7,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[4,5,2,1,6,3,7]=>[6,4,3,2,5,1,7]=>[7,1,5,2,3,4,6]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[4,5,2,1,6,7,3]=>[7,4,3,2,5,6,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[4,5,2,1,7,3,6]=>[6,4,3,2,7,1,5]=>[5,1,7,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[4,5,2,1,7,6,3]=>[7,4,3,2,6,5,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[4,5,2,3,1,6,7]=>[5,4,3,2,1,6,7]=>[7,6,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[4,5,2,3,1,7,6]=>[5,4,3,2,1,7,6]=>[6,7,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[4,5,2,3,6,1,7]=>[6,4,3,2,5,1,7]=>[7,1,5,2,3,4,6]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[4,5,2,3,6,7,1]=>[7,4,3,2,5,6,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[4,5,2,3,7,1,6]=>[6,4,3,2,7,1,5]=>[5,1,7,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[4,5,2,3,7,6,1]=>[7,4,3,2,6,5,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[4,5,2,6,1,3,7]=>[6,5,3,4,2,1,7]=>[7,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[4,5,2,6,1,7,3]=>[7,5,3,4,2,6,1]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[4,5,2,6,3,1,7]=>[6,5,3,4,2,1,7]=>[7,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[4,5,2,6,3,7,1]=>[7,5,3,4,2,6,1]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[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]=>[4,1,2,7,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[4,5,2,7,1,6,3]=>[7,5,3,6,2,4,1]=>[1,4,2,6,3,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[4,5,2,7,3,1,6]=>[6,5,3,7,2,1,4]=>[4,1,2,7,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[4,5,2,7,3,6,1]=>[7,5,3,6,2,4,1]=>[1,4,2,6,3,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[4,5,2,7,6,1,3]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[4,5,2,7,6,3,1]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[4,5,3,1,2,6,7]=>[5,4,3,2,1,6,7]=>[7,6,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[4,5,3,1,2,7,6]=>[5,4,3,2,1,7,6]=>[6,7,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[4,5,3,1,6,2,7]=>[6,4,3,2,5,1,7]=>[7,1,5,2,3,4,6]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[4,5,3,1,6,7,2]=>[7,4,3,2,5,6,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[4,5,3,1,7,2,6]=>[6,4,3,2,7,1,5]=>[5,1,7,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[4,5,3,1,7,6,2]=>[7,4,3,2,6,5,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[4,5,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>[7,6,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[4,5,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>[6,7,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[4,5,3,2,6,1,7]=>[6,4,3,2,5,1,7]=>[7,1,5,2,3,4,6]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[4,5,3,2,6,7,1]=>[7,4,3,2,5,6,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[4,5,3,2,7,1,6]=>[6,4,3,2,7,1,5]=>[5,1,7,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[4,5,3,2,7,6,1]=>[7,4,3,2,6,5,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[4,5,3,6,1,2,7]=>[6,5,3,4,2,1,7]=>[7,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[4,5,3,6,1,7,2]=>[7,5,3,4,2,6,1]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[4,5,3,6,2,1,7]=>[6,5,3,4,2,1,7]=>[7,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[4,5,3,6,2,7,1]=>[7,5,3,4,2,6,1]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[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]=>[4,1,2,7,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[4,5,3,7,1,6,2]=>[7,5,3,6,2,4,1]=>[1,4,2,6,3,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[4,5,3,7,2,1,6]=>[6,5,3,7,2,1,4]=>[4,1,2,7,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[4,5,3,7,2,6,1]=>[7,5,3,6,2,4,1]=>[1,4,2,6,3,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[4,5,3,7,6,1,2]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[4,5,3,7,6,2,1]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[4,5,6,1,2,3,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[4,5,6,1,2,7,3]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,5,6,1,3,2,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[4,5,6,1,3,7,2]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,5,6,1,7,2,3]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,5,6,1,7,3,2]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,5,6,2,1,3,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[4,5,6,2,1,7,3]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,5,6,2,3,1,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[4,5,6,2,3,7,1]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,5,6,2,7,1,3]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,5,6,2,7,3,1]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,5,6,3,1,2,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[4,5,6,3,1,7,2]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,5,6,3,2,1,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[4,5,6,3,2,7,1]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,5,6,3,7,1,2]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,5,6,3,7,2,1]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[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]=>[3,1,2,4,7,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[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]=>[3,1,2,4,7,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[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]=>[3,1,2,4,7,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[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]=>[3,1,2,4,7,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[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]=>[3,1,2,4,7,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[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]=>[3,1,2,4,7,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[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]=>[7,2,1,4,3,6,5]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[4,6,1,2,3,7,5]=>[5,7,3,4,1,6,2]=>[2,6,1,4,3,7,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[4,6,1,2,5,3,7]=>[6,5,3,4,2,1,7]=>[7,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[4,6,1,2,5,7,3]=>[7,5,3,4,2,6,1]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[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]=>[7,2,1,4,3,6,5]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[4,6,1,3,2,7,5]=>[5,7,3,4,1,6,2]=>[2,6,1,4,3,7,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[4,6,1,3,5,2,7]=>[6,5,3,4,2,1,7]=>[7,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[4,6,1,3,5,7,2]=>[7,5,3,4,2,6,1]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[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]=>[7,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[4,6,1,5,2,7,3]=>[7,5,3,4,2,6,1]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[4,6,1,5,3,2,7]=>[6,5,3,4,2,1,7]=>[7,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[4,6,1,5,3,7,2]=>[7,5,3,4,2,6,1]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[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]=>[2,1,4,5,3,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[4,6,1,7,2,5,3]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[4,6,1,7,3,2,5]=>[6,7,3,5,4,1,2]=>[2,1,4,5,3,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[4,6,1,7,3,5,2]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[4,6,1,7,5,2,3]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[4,6,1,7,5,3,2]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[4,6,2,1,3,5,7]=>[5,6,4,3,1,2,7]=>[7,2,1,3,4,6,5]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[4,6,2,1,3,7,5]=>[5,7,4,3,1,6,2]=>[2,6,1,3,4,7,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[4,6,2,1,5,3,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[4,6,2,1,5,7,3]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,6,2,1,7,3,5]=>[6,7,4,3,5,1,2]=>[2,1,5,3,4,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[4,6,2,1,7,5,3]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,6,2,3,1,5,7]=>[5,6,4,3,1,2,7]=>[7,2,1,3,4,6,5]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[4,6,2,3,1,7,5]=>[5,7,4,3,1,6,2]=>[2,6,1,3,4,7,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[4,6,2,3,5,1,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[4,6,2,3,5,7,1]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,6,2,3,7,1,5]=>[6,7,4,3,5,1,2]=>[2,1,5,3,4,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[4,6,2,3,7,5,1]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,6,2,5,1,3,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[4,6,2,5,1,7,3]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,6,2,5,3,1,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[4,6,2,5,3,7,1]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,6,2,5,7,1,3]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,6,2,5,7,3,1]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[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]=>[7,2,1,3,4,6,5]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[4,6,3,1,2,7,5]=>[5,7,4,3,1,6,2]=>[2,6,1,3,4,7,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[4,6,3,1,5,2,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[4,6,3,1,5,7,2]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,6,3,1,7,2,5]=>[6,7,4,3,5,1,2]=>[2,1,5,3,4,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[4,6,3,1,7,5,2]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,6,3,2,1,5,7]=>[5,6,4,3,1,2,7]=>[7,2,1,3,4,6,5]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[4,6,3,2,1,7,5]=>[5,7,4,3,1,6,2]=>[2,6,1,3,4,7,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[4,6,3,2,5,1,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[4,6,3,2,5,7,1]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,6,3,2,7,1,5]=>[6,7,4,3,5,1,2]=>[2,1,5,3,4,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[4,6,3,2,7,5,1]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,6,3,5,1,2,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[4,6,3,5,1,7,2]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,6,3,5,2,1,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[4,6,3,5,2,7,1]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,6,3,5,7,1,2]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,6,3,5,7,2,1]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[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]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[4,6,5,1,2,7,3]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,6,5,1,3,2,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[4,6,5,1,3,7,2]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,6,5,1,7,2,3]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,6,5,1,7,3,2]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,6,5,2,1,3,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[4,6,5,2,1,7,3]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,6,5,2,3,1,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[4,6,5,2,3,7,1]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,6,5,2,7,1,3]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,6,5,2,7,3,1]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,6,5,3,1,2,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[4,6,5,3,1,7,2]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,6,5,3,2,1,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[4,6,5,3,2,7,1]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,6,5,3,7,1,2]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,6,5,3,7,2,1]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[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]=>[2,6,1,4,3,7,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[4,7,1,2,3,6,5]=>[5,7,3,4,1,6,2]=>[2,6,1,4,3,7,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[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]=>[2,6,1,4,3,7,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[4,7,1,3,2,6,5]=>[5,7,3,4,1,6,2]=>[2,6,1,4,3,7,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[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]=>[2,1,4,5,3,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[4,7,1,5,2,6,3]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[4,7,1,5,3,2,6]=>[6,7,3,5,4,1,2]=>[2,1,4,5,3,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[4,7,1,5,3,6,2]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[4,7,1,5,6,2,3]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[4,7,1,5,6,3,2]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[4,7,1,6,2,3,5]=>[6,7,3,5,4,1,2]=>[2,1,4,5,3,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[4,7,1,6,2,5,3]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[4,7,1,6,3,2,5]=>[6,7,3,5,4,1,2]=>[2,1,4,5,3,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[4,7,1,6,3,5,2]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[4,7,1,6,5,2,3]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[4,7,1,6,5,3,2]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[4,7,2,1,3,5,6]=>[5,7,4,3,1,6,2]=>[2,6,1,3,4,7,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[4,7,2,1,3,6,5]=>[5,7,4,3,1,6,2]=>[2,6,1,3,4,7,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[4,7,2,1,5,3,6]=>[6,7,4,3,5,1,2]=>[2,1,5,3,4,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[4,7,2,1,5,6,3]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,7,2,1,6,3,5]=>[6,7,4,3,5,1,2]=>[2,1,5,3,4,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[4,7,2,1,6,5,3]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,7,2,3,1,5,6]=>[5,7,4,3,1,6,2]=>[2,6,1,3,4,7,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[4,7,2,3,1,6,5]=>[5,7,4,3,1,6,2]=>[2,6,1,3,4,7,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[4,7,2,3,5,1,6]=>[6,7,4,3,5,1,2]=>[2,1,5,3,4,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[4,7,2,3,5,6,1]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,7,2,3,6,1,5]=>[6,7,4,3,5,1,2]=>[2,1,5,3,4,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[4,7,2,3,6,5,1]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[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]=>[2,6,1,3,4,7,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[4,7,3,1,2,6,5]=>[5,7,4,3,1,6,2]=>[2,6,1,3,4,7,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[4,7,3,1,5,2,6]=>[6,7,4,3,5,1,2]=>[2,1,5,3,4,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[4,7,3,1,5,6,2]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,7,3,1,6,2,5]=>[6,7,4,3,5,1,2]=>[2,1,5,3,4,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[4,7,3,1,6,5,2]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,7,3,2,1,5,6]=>[5,7,4,3,1,6,2]=>[2,6,1,3,4,7,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[4,7,3,2,1,6,5]=>[5,7,4,3,1,6,2]=>[2,6,1,3,4,7,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[4,7,3,2,5,1,6]=>[6,7,4,3,5,1,2]=>[2,1,5,3,4,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[4,7,3,2,5,6,1]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,7,3,2,6,1,5]=>[6,7,4,3,5,1,2]=>[2,1,5,3,4,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[4,7,3,2,6,5,1]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[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]=>[7,6,1,4,3,2,5]=>[[[.,[[[.,.],.],[.,.]]],.],.]
[5,1,2,3,4,7,6]=>[5,2,3,4,1,7,6]=>[6,7,1,4,3,2,5]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[5,1,2,3,6,4,7]=>[6,2,3,4,5,1,7]=>[7,1,5,4,3,2,6]=>[[.,[[[[.,.],.],.],[.,.]]],.]
[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]=>[5,1,7,4,3,2,6]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,2,3,7,6,4]=>[7,2,3,4,6,5,1]=>[1,5,6,4,3,2,7]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[5,1,2,4,3,6,7]=>[5,2,3,4,1,6,7]=>[7,6,1,4,3,2,5]=>[[[.,[[[.,.],.],[.,.]]],.],.]
[5,1,2,4,3,7,6]=>[5,2,3,4,1,7,6]=>[6,7,1,4,3,2,5]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[5,1,2,4,6,3,7]=>[6,2,3,4,5,1,7]=>[7,1,5,4,3,2,6]=>[[.,[[[[.,.],.],.],[.,.]]],.]
[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]=>[5,1,7,4,3,2,6]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,2,4,7,6,3]=>[7,2,3,4,6,5,1]=>[1,5,6,4,3,2,7]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[5,1,2,6,3,4,7]=>[6,2,3,5,4,1,7]=>[7,1,4,5,3,2,6]=>[[.,[[[.,.],.],[.,[.,.]]]],.]
[5,1,2,6,3,7,4]=>[7,2,3,5,4,6,1]=>[1,6,4,5,3,2,7]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[5,1,2,6,4,3,7]=>[6,2,3,5,4,1,7]=>[7,1,4,5,3,2,6]=>[[.,[[[.,.],.],[.,[.,.]]]],.]
[5,1,2,6,4,7,3]=>[7,2,3,5,4,6,1]=>[1,6,4,5,3,2,7]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[5,1,2,6,7,3,4]=>[7,2,3,6,5,4,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[5,1,2,6,7,4,3]=>[7,2,3,6,5,4,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[5,1,2,7,3,4,6]=>[6,2,3,7,5,1,4]=>[4,1,5,7,3,2,6]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[5,1,2,7,3,6,4]=>[7,2,3,6,5,4,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[5,1,2,7,4,3,6]=>[6,2,3,7,5,1,4]=>[4,1,5,7,3,2,6]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[5,1,2,7,4,6,3]=>[7,2,3,6,5,4,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[5,1,2,7,6,3,4]=>[7,2,3,6,5,4,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[5,1,2,7,6,4,3]=>[7,2,3,6,5,4,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[5,1,3,2,4,6,7]=>[5,2,4,3,1,6,7]=>[7,6,1,3,4,2,5]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[5,1,3,2,4,7,6]=>[5,2,4,3,1,7,6]=>[6,7,1,3,4,2,5]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[5,1,3,2,6,4,7]=>[6,2,4,3,5,1,7]=>[7,1,5,3,4,2,6]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[5,1,3,2,6,7,4]=>[7,2,4,3,5,6,1]=>[1,6,5,3,4,2,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[5,1,3,2,7,4,6]=>[6,2,4,3,7,1,5]=>[5,1,7,3,4,2,6]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[5,1,3,2,7,6,4]=>[7,2,4,3,6,5,1]=>[1,5,6,3,4,2,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[5,1,3,4,2,6,7]=>[5,2,4,3,1,6,7]=>[7,6,1,3,4,2,5]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[5,1,3,4,2,7,6]=>[5,2,4,3,1,7,6]=>[6,7,1,3,4,2,5]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[5,1,3,4,6,2,7]=>[6,2,4,3,5,1,7]=>[7,1,5,3,4,2,6]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[5,1,3,4,6,7,2]=>[7,2,4,3,5,6,1]=>[1,6,5,3,4,2,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[5,1,3,4,7,2,6]=>[6,2,4,3,7,1,5]=>[5,1,7,3,4,2,6]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[5,1,3,4,7,6,2]=>[7,2,4,3,6,5,1]=>[1,5,6,3,4,2,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[5,1,3,6,2,4,7]=>[6,2,5,4,3,1,7]=>[7,1,3,4,5,2,6]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[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]=>[7,1,3,4,5,2,6]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[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]=>[1,3,5,4,6,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[5,1,3,6,7,4,2]=>[7,2,6,4,5,3,1]=>[1,3,5,4,6,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[5,1,3,7,2,4,6]=>[6,2,5,7,3,1,4]=>[4,1,3,7,5,2,6]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[5,1,3,7,2,6,4]=>[7,2,5,6,3,4,1]=>[1,4,3,6,5,2,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[5,1,3,7,4,2,6]=>[6,2,5,7,3,1,4]=>[4,1,3,7,5,2,6]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[5,1,3,7,4,6,2]=>[7,2,5,6,3,4,1]=>[1,4,3,6,5,2,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[5,1,3,7,6,2,4]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,1,3,7,6,4,2]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,1,4,2,3,6,7]=>[5,2,4,3,1,6,7]=>[7,6,1,3,4,2,5]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[5,1,4,2,3,7,6]=>[5,2,4,3,1,7,6]=>[6,7,1,3,4,2,5]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[5,1,4,2,6,3,7]=>[6,2,4,3,5,1,7]=>[7,1,5,3,4,2,6]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[5,1,4,2,6,7,3]=>[7,2,4,3,5,6,1]=>[1,6,5,3,4,2,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[5,1,4,2,7,3,6]=>[6,2,4,3,7,1,5]=>[5,1,7,3,4,2,6]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[5,1,4,2,7,6,3]=>[7,2,4,3,6,5,1]=>[1,5,6,3,4,2,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[5,1,4,3,2,6,7]=>[5,2,4,3,1,6,7]=>[7,6,1,3,4,2,5]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[5,1,4,3,2,7,6]=>[5,2,4,3,1,7,6]=>[6,7,1,3,4,2,5]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[5,1,4,3,6,2,7]=>[6,2,4,3,5,1,7]=>[7,1,5,3,4,2,6]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[5,1,4,3,6,7,2]=>[7,2,4,3,5,6,1]=>[1,6,5,3,4,2,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[5,1,4,3,7,2,6]=>[6,2,4,3,7,1,5]=>[5,1,7,3,4,2,6]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[5,1,4,3,7,6,2]=>[7,2,4,3,6,5,1]=>[1,5,6,3,4,2,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[5,1,4,6,2,3,7]=>[6,2,5,4,3,1,7]=>[7,1,3,4,5,2,6]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[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]=>[7,1,3,4,5,2,6]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[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]=>[1,3,5,4,6,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[5,1,4,6,7,3,2]=>[7,2,6,4,5,3,1]=>[1,3,5,4,6,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[5,1,4,7,2,3,6]=>[6,2,5,7,3,1,4]=>[4,1,3,7,5,2,6]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[5,1,4,7,2,6,3]=>[7,2,5,6,3,4,1]=>[1,4,3,6,5,2,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[5,1,4,7,3,2,6]=>[6,2,5,7,3,1,4]=>[4,1,3,7,5,2,6]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[5,1,4,7,3,6,2]=>[7,2,5,6,3,4,1]=>[1,4,3,6,5,2,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[5,1,4,7,6,2,3]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,1,4,7,6,3,2]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,1,6,2,3,4,7]=>[6,2,5,4,3,1,7]=>[7,1,3,4,5,2,6]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[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]=>[7,1,3,4,5,2,6]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[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]=>[1,3,5,4,6,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[5,1,6,2,7,4,3]=>[7,2,6,4,5,3,1]=>[1,3,5,4,6,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[5,1,6,3,2,4,7]=>[6,2,5,4,3,1,7]=>[7,1,3,4,5,2,6]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[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]=>[7,1,3,4,5,2,6]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[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]=>[1,3,5,4,6,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[5,1,6,3,7,4,2]=>[7,2,6,4,5,3,1]=>[1,3,5,4,6,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[5,1,6,4,2,3,7]=>[6,2,5,4,3,1,7]=>[7,1,3,4,5,2,6]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[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]=>[7,1,3,4,5,2,6]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[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]=>[1,3,5,4,6,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[5,1,6,4,7,3,2]=>[7,2,6,4,5,3,1]=>[1,3,5,4,6,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[5,1,6,7,2,3,4]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,1,6,7,2,4,3]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,1,6,7,3,2,4]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,1,6,7,3,4,2]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,1,6,7,4,2,3]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,1,6,7,4,3,2]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,1,7,2,3,4,6]=>[6,2,7,4,5,1,3]=>[3,1,5,4,7,2,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[5,1,7,2,3,6,4]=>[7,2,6,4,5,3,1]=>[1,3,5,4,6,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[5,1,7,2,4,3,6]=>[6,2,7,4,5,1,3]=>[3,1,5,4,7,2,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[5,1,7,2,4,6,3]=>[7,2,6,4,5,3,1]=>[1,3,5,4,6,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[5,1,7,2,6,3,4]=>[7,2,6,4,5,3,1]=>[1,3,5,4,6,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[5,1,7,2,6,4,3]=>[7,2,6,4,5,3,1]=>[1,3,5,4,6,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[5,1,7,3,2,4,6]=>[6,2,7,5,4,1,3]=>[3,1,4,5,7,2,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[5,1,7,3,2,6,4]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,1,7,3,4,2,6]=>[6,2,7,5,4,1,3]=>[3,1,4,5,7,2,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[5,1,7,3,4,6,2]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,1,7,3,6,2,4]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,1,7,3,6,4,2]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,1,7,4,2,3,6]=>[6,2,7,5,4,1,3]=>[3,1,4,5,7,2,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[5,1,7,4,2,6,3]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,1,7,4,3,2,6]=>[6,2,7,5,4,1,3]=>[3,1,4,5,7,2,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[5,1,7,4,3,6,2]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,1,7,4,6,2,3]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,1,7,4,6,3,2]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,1,7,6,2,3,4]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,1,7,6,2,4,3]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,1,7,6,3,2,4]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,1,7,6,3,4,2]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,1,7,6,4,2,3]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,1,7,6,4,3,2]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,2,1,3,4,6,7]=>[5,3,2,4,1,6,7]=>[7,6,1,4,2,3,5]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[5,2,1,3,4,7,6]=>[5,3,2,4,1,7,6]=>[6,7,1,4,2,3,5]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[5,2,1,3,6,4,7]=>[6,3,2,4,5,1,7]=>[7,1,5,4,2,3,6]=>[[.,[[[.,[.,.]],.],[.,.]]],.]
[5,2,1,3,6,7,4]=>[7,3,2,4,5,6,1]=>[1,6,5,4,2,3,7]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[5,2,1,3,7,4,6]=>[6,3,2,4,7,1,5]=>[5,1,7,4,2,3,6]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[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]=>[7,6,1,4,2,3,5]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[5,2,1,4,3,7,6]=>[5,3,2,4,1,7,6]=>[6,7,1,4,2,3,5]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[5,2,1,4,6,3,7]=>[6,3,2,4,5,1,7]=>[7,1,5,4,2,3,6]=>[[.,[[[.,[.,.]],.],[.,.]]],.]
[5,2,1,4,6,7,3]=>[7,3,2,4,5,6,1]=>[1,6,5,4,2,3,7]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[5,2,1,4,7,3,6]=>[6,3,2,4,7,1,5]=>[5,1,7,4,2,3,6]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[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]=>[7,1,4,5,2,3,6]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[5,2,1,6,3,7,4]=>[7,3,2,5,4,6,1]=>[1,6,4,5,2,3,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[5,2,1,6,4,3,7]=>[6,3,2,5,4,1,7]=>[7,1,4,5,2,3,6]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[5,2,1,6,4,7,3]=>[7,3,2,5,4,6,1]=>[1,6,4,5,2,3,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[5,2,1,6,7,3,4]=>[7,3,2,6,5,4,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[5,2,1,6,7,4,3]=>[7,3,2,6,5,4,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[5,2,1,7,3,4,6]=>[6,3,2,7,5,1,4]=>[4,1,5,7,2,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[5,2,1,7,3,6,4]=>[7,3,2,6,5,4,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[5,2,1,7,4,3,6]=>[6,3,2,7,5,1,4]=>[4,1,5,7,2,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[5,2,1,7,4,6,3]=>[7,3,2,6,5,4,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[5,2,1,7,6,3,4]=>[7,3,2,6,5,4,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[5,2,1,7,6,4,3]=>[7,3,2,6,5,4,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[5,2,3,1,4,6,7]=>[5,4,3,2,1,6,7]=>[7,6,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[5,2,3,1,4,7,6]=>[5,4,3,2,1,7,6]=>[6,7,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[5,2,3,1,6,4,7]=>[6,4,3,2,5,1,7]=>[7,1,5,2,3,4,6]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[5,2,3,1,6,7,4]=>[7,4,3,2,5,6,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[5,2,3,1,7,4,6]=>[6,4,3,2,7,1,5]=>[5,1,7,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[5,2,3,1,7,6,4]=>[7,4,3,2,6,5,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[5,2,3,4,1,6,7]=>[5,4,3,2,1,6,7]=>[7,6,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[5,2,3,4,1,7,6]=>[5,4,3,2,1,7,6]=>[6,7,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[5,2,3,4,6,1,7]=>[6,4,3,2,5,1,7]=>[7,1,5,2,3,4,6]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[5,2,3,4,6,7,1]=>[7,4,3,2,5,6,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[5,2,3,4,7,1,6]=>[6,4,3,2,7,1,5]=>[5,1,7,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[5,2,3,4,7,6,1]=>[7,4,3,2,6,5,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[5,2,3,6,1,4,7]=>[6,5,3,4,2,1,7]=>[7,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[5,2,3,6,1,7,4]=>[7,5,3,4,2,6,1]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,2,3,6,4,1,7]=>[6,5,3,4,2,1,7]=>[7,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[5,2,3,6,4,7,1]=>[7,5,3,4,2,6,1]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[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]=>[4,1,2,7,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[5,2,3,7,1,6,4]=>[7,5,3,6,2,4,1]=>[1,4,2,6,3,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,2,3,7,4,1,6]=>[6,5,3,7,2,1,4]=>[4,1,2,7,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[5,2,3,7,4,6,1]=>[7,5,3,6,2,4,1]=>[1,4,2,6,3,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,2,3,7,6,1,4]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,2,3,7,6,4,1]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,2,4,1,3,6,7]=>[5,4,3,2,1,6,7]=>[7,6,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[5,2,4,1,3,7,6]=>[5,4,3,2,1,7,6]=>[6,7,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[5,2,4,1,6,3,7]=>[6,4,3,2,5,1,7]=>[7,1,5,2,3,4,6]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[5,2,4,1,6,7,3]=>[7,4,3,2,5,6,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[5,2,4,1,7,3,6]=>[6,4,3,2,7,1,5]=>[5,1,7,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[5,2,4,1,7,6,3]=>[7,4,3,2,6,5,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[5,2,4,3,1,6,7]=>[5,4,3,2,1,6,7]=>[7,6,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[5,2,4,3,1,7,6]=>[5,4,3,2,1,7,6]=>[6,7,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[5,2,4,3,6,1,7]=>[6,4,3,2,5,1,7]=>[7,1,5,2,3,4,6]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[5,2,4,3,6,7,1]=>[7,4,3,2,5,6,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[5,2,4,3,7,1,6]=>[6,4,3,2,7,1,5]=>[5,1,7,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[5,2,4,3,7,6,1]=>[7,4,3,2,6,5,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[5,2,4,6,1,3,7]=>[6,5,3,4,2,1,7]=>[7,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[5,2,4,6,1,7,3]=>[7,5,3,4,2,6,1]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,2,4,6,3,1,7]=>[6,5,3,4,2,1,7]=>[7,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[5,2,4,6,3,7,1]=>[7,5,3,4,2,6,1]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[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]=>[4,1,2,7,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[5,2,4,7,1,6,3]=>[7,5,3,6,2,4,1]=>[1,4,2,6,3,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,2,4,7,3,1,6]=>[6,5,3,7,2,1,4]=>[4,1,2,7,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[5,2,4,7,3,6,1]=>[7,5,3,6,2,4,1]=>[1,4,2,6,3,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,2,4,7,6,1,3]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,2,4,7,6,3,1]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,2,6,1,3,4,7]=>[6,4,5,2,3,1,7]=>[7,1,3,2,5,4,6]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[5,2,6,1,3,7,4]=>[7,4,5,2,3,6,1]=>[1,6,3,2,5,4,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[5,2,6,1,4,3,7]=>[6,4,5,2,3,1,7]=>[7,1,3,2,5,4,6]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[5,2,6,1,4,7,3]=>[7,4,5,2,3,6,1]=>[1,6,3,2,5,4,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[5,2,6,1,7,3,4]=>[7,4,6,2,5,3,1]=>[1,3,5,2,6,4,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[5,2,6,1,7,4,3]=>[7,4,6,2,5,3,1]=>[1,3,5,2,6,4,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[5,2,6,3,1,4,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[5,2,6,3,1,7,4]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,2,6,3,4,1,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[5,2,6,3,4,7,1]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,2,6,3,7,1,4]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[5,2,6,3,7,4,1]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[5,2,6,4,1,3,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[5,2,6,4,1,7,3]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,2,6,4,3,1,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[5,2,6,4,3,7,1]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,2,6,4,7,1,3]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[5,2,6,4,7,3,1]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[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]=>[3,1,5,2,7,4,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[5,2,7,1,3,6,4]=>[7,4,6,2,5,3,1]=>[1,3,5,2,6,4,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[5,2,7,1,4,3,6]=>[6,4,7,2,5,1,3]=>[3,1,5,2,7,4,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[5,2,7,1,4,6,3]=>[7,4,6,2,5,3,1]=>[1,3,5,2,6,4,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[5,2,7,1,6,3,4]=>[7,4,6,2,5,3,1]=>[1,3,5,2,6,4,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[5,2,7,1,6,4,3]=>[7,4,6,2,5,3,1]=>[1,3,5,2,6,4,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[5,2,7,3,1,4,6]=>[6,5,7,4,2,1,3]=>[3,1,2,4,7,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[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]=>[3,1,2,4,7,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[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]=>[3,1,2,4,7,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[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]=>[3,1,2,4,7,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[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]=>[7,6,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[5,3,1,2,4,7,6]=>[5,4,3,2,1,7,6]=>[6,7,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[5,3,1,2,6,4,7]=>[6,4,3,2,5,1,7]=>[7,1,5,2,3,4,6]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[5,3,1,2,6,7,4]=>[7,4,3,2,5,6,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[5,3,1,2,7,4,6]=>[6,4,3,2,7,1,5]=>[5,1,7,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[5,3,1,2,7,6,4]=>[7,4,3,2,6,5,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[5,3,1,4,2,6,7]=>[5,4,3,2,1,6,7]=>[7,6,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[5,3,1,4,2,7,6]=>[5,4,3,2,1,7,6]=>[6,7,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[5,3,1,4,6,2,7]=>[6,4,3,2,5,1,7]=>[7,1,5,2,3,4,6]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[5,3,1,4,6,7,2]=>[7,4,3,2,5,6,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[5,3,1,4,7,2,6]=>[6,4,3,2,7,1,5]=>[5,1,7,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[5,3,1,4,7,6,2]=>[7,4,3,2,6,5,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[5,3,1,6,2,4,7]=>[6,5,3,4,2,1,7]=>[7,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[5,3,1,6,2,7,4]=>[7,5,3,4,2,6,1]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,3,1,6,4,2,7]=>[6,5,3,4,2,1,7]=>[7,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[5,3,1,6,4,7,2]=>[7,5,3,4,2,6,1]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[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]=>[4,1,2,7,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[5,3,1,7,2,6,4]=>[7,5,3,6,2,4,1]=>[1,4,2,6,3,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,3,1,7,4,2,6]=>[6,5,3,7,2,1,4]=>[4,1,2,7,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[5,3,1,7,4,6,2]=>[7,5,3,6,2,4,1]=>[1,4,2,6,3,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,3,1,7,6,2,4]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,3,1,7,6,4,2]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,3,2,1,4,6,7]=>[5,4,3,2,1,6,7]=>[7,6,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[5,3,2,1,4,7,6]=>[5,4,3,2,1,7,6]=>[6,7,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[5,3,2,1,6,4,7]=>[6,4,3,2,5,1,7]=>[7,1,5,2,3,4,6]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[5,3,2,1,6,7,4]=>[7,4,3,2,5,6,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[5,3,2,1,7,4,6]=>[6,4,3,2,7,1,5]=>[5,1,7,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[5,3,2,1,7,6,4]=>[7,4,3,2,6,5,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[5,3,2,4,1,6,7]=>[5,4,3,2,1,6,7]=>[7,6,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[5,3,2,4,1,7,6]=>[5,4,3,2,1,7,6]=>[6,7,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[5,3,2,4,6,1,7]=>[6,4,3,2,5,1,7]=>[7,1,5,2,3,4,6]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[5,3,2,4,6,7,1]=>[7,4,3,2,5,6,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[5,3,2,4,7,1,6]=>[6,4,3,2,7,1,5]=>[5,1,7,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[5,3,2,4,7,6,1]=>[7,4,3,2,6,5,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[5,3,2,6,1,4,7]=>[6,5,3,4,2,1,7]=>[7,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[5,3,2,6,1,7,4]=>[7,5,3,4,2,6,1]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,3,2,6,4,1,7]=>[6,5,3,4,2,1,7]=>[7,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[5,3,2,6,4,7,1]=>[7,5,3,4,2,6,1]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[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]=>[4,1,2,7,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[5,3,2,7,1,6,4]=>[7,5,3,6,2,4,1]=>[1,4,2,6,3,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,3,2,7,4,1,6]=>[6,5,3,7,2,1,4]=>[4,1,2,7,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[5,3,2,7,4,6,1]=>[7,5,3,6,2,4,1]=>[1,4,2,6,3,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,3,2,7,6,1,4]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,3,2,7,6,4,1]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,3,4,1,2,6,7]=>[5,4,3,2,1,6,7]=>[7,6,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[5,3,4,1,2,7,6]=>[5,4,3,2,1,7,6]=>[6,7,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[5,3,4,1,6,2,7]=>[6,4,3,2,5,1,7]=>[7,1,5,2,3,4,6]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[5,3,4,1,6,7,2]=>[7,4,3,2,5,6,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[5,3,4,1,7,2,6]=>[6,4,3,2,7,1,5]=>[5,1,7,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[5,3,4,1,7,6,2]=>[7,4,3,2,6,5,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[5,3,4,2,1,6,7]=>[5,4,3,2,1,6,7]=>[7,6,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[5,3,4,2,1,7,6]=>[5,4,3,2,1,7,6]=>[6,7,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[5,3,4,2,6,1,7]=>[6,4,3,2,5,1,7]=>[7,1,5,2,3,4,6]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[5,3,4,2,6,7,1]=>[7,4,3,2,5,6,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[5,3,4,2,7,1,6]=>[6,4,3,2,7,1,5]=>[5,1,7,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[5,3,4,2,7,6,1]=>[7,4,3,2,6,5,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[5,3,4,6,1,2,7]=>[6,5,3,4,2,1,7]=>[7,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[5,3,4,6,1,7,2]=>[7,5,3,4,2,6,1]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,3,4,6,2,1,7]=>[6,5,3,4,2,1,7]=>[7,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[5,3,4,6,2,7,1]=>[7,5,3,4,2,6,1]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[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]=>[4,1,2,7,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[5,3,4,7,1,6,2]=>[7,5,3,6,2,4,1]=>[1,4,2,6,3,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,3,4,7,2,1,6]=>[6,5,3,7,2,1,4]=>[4,1,2,7,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[5,3,4,7,2,6,1]=>[7,5,3,6,2,4,1]=>[1,4,2,6,3,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,3,4,7,6,1,2]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,3,4,7,6,2,1]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,3,6,1,2,4,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[5,3,6,1,2,7,4]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,3,6,1,4,2,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[5,3,6,1,4,7,2]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,3,6,1,7,2,4]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[5,3,6,1,7,4,2]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[5,3,6,2,1,4,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[5,3,6,2,1,7,4]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,3,6,2,4,1,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[5,3,6,2,4,7,1]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,3,6,2,7,1,4]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[5,3,6,2,7,4,1]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[5,3,6,4,1,2,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[5,3,6,4,1,7,2]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,3,6,4,2,1,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[5,3,6,4,2,7,1]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,3,6,4,7,1,2]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[5,3,6,4,7,2,1]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[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]=>[3,1,2,4,7,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[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]=>[3,1,2,4,7,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[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]=>[3,1,2,4,7,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[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]=>[3,1,2,4,7,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[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]=>[3,1,2,4,7,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[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]=>[3,1,2,4,7,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[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]=>[7,6,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[5,4,1,2,3,7,6]=>[5,4,3,2,1,7,6]=>[6,7,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[5,4,1,2,6,3,7]=>[6,4,3,2,5,1,7]=>[7,1,5,2,3,4,6]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[5,4,1,2,6,7,3]=>[7,4,3,2,5,6,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[5,4,1,2,7,3,6]=>[6,4,3,2,7,1,5]=>[5,1,7,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[5,4,1,2,7,6,3]=>[7,4,3,2,6,5,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[5,4,1,3,2,6,7]=>[5,4,3,2,1,6,7]=>[7,6,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[5,4,1,3,2,7,6]=>[5,4,3,2,1,7,6]=>[6,7,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[5,4,1,3,6,2,7]=>[6,4,3,2,5,1,7]=>[7,1,5,2,3,4,6]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[5,4,1,3,6,7,2]=>[7,4,3,2,5,6,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[5,4,1,3,7,2,6]=>[6,4,3,2,7,1,5]=>[5,1,7,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[5,4,1,3,7,6,2]=>[7,4,3,2,6,5,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[5,4,1,6,2,3,7]=>[6,5,3,4,2,1,7]=>[7,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[5,4,1,6,2,7,3]=>[7,5,3,4,2,6,1]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,4,1,6,3,2,7]=>[6,5,3,4,2,1,7]=>[7,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[5,4,1,6,3,7,2]=>[7,5,3,4,2,6,1]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[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]=>[4,1,2,7,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[5,4,1,7,2,6,3]=>[7,5,3,6,2,4,1]=>[1,4,2,6,3,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,4,1,7,3,2,6]=>[6,5,3,7,2,1,4]=>[4,1,2,7,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[5,4,1,7,3,6,2]=>[7,5,3,6,2,4,1]=>[1,4,2,6,3,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,4,1,7,6,2,3]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,4,1,7,6,3,2]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,4,2,1,3,6,7]=>[5,4,3,2,1,6,7]=>[7,6,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[5,4,2,1,3,7,6]=>[5,4,3,2,1,7,6]=>[6,7,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[5,4,2,1,6,3,7]=>[6,4,3,2,5,1,7]=>[7,1,5,2,3,4,6]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[5,4,2,1,6,7,3]=>[7,4,3,2,5,6,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[5,4,2,1,7,3,6]=>[6,4,3,2,7,1,5]=>[5,1,7,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[5,4,2,1,7,6,3]=>[7,4,3,2,6,5,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[5,4,2,3,1,6,7]=>[5,4,3,2,1,6,7]=>[7,6,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[5,4,2,3,1,7,6]=>[5,4,3,2,1,7,6]=>[6,7,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[5,4,2,3,6,1,7]=>[6,4,3,2,5,1,7]=>[7,1,5,2,3,4,6]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[5,4,2,3,6,7,1]=>[7,4,3,2,5,6,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[5,4,2,3,7,1,6]=>[6,4,3,2,7,1,5]=>[5,1,7,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[5,4,2,3,7,6,1]=>[7,4,3,2,6,5,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[5,4,2,6,1,3,7]=>[6,5,3,4,2,1,7]=>[7,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[5,4,2,6,1,7,3]=>[7,5,3,4,2,6,1]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,4,2,6,3,1,7]=>[6,5,3,4,2,1,7]=>[7,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[5,4,2,6,3,7,1]=>[7,5,3,4,2,6,1]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[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]=>[4,1,2,7,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[5,4,2,7,1,6,3]=>[7,5,3,6,2,4,1]=>[1,4,2,6,3,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,4,2,7,3,1,6]=>[6,5,3,7,2,1,4]=>[4,1,2,7,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[5,4,2,7,3,6,1]=>[7,5,3,6,2,4,1]=>[1,4,2,6,3,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,4,2,7,6,1,3]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,4,2,7,6,3,1]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,4,3,1,2,6,7]=>[5,4,3,2,1,6,7]=>[7,6,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[5,4,3,1,2,7,6]=>[5,4,3,2,1,7,6]=>[6,7,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[5,4,3,1,6,2,7]=>[6,4,3,2,5,1,7]=>[7,1,5,2,3,4,6]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[5,4,3,1,6,7,2]=>[7,4,3,2,5,6,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[5,4,3,1,7,2,6]=>[6,4,3,2,7,1,5]=>[5,1,7,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[5,4,3,1,7,6,2]=>[7,4,3,2,6,5,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>[7,6,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>[6,7,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[5,4,3,2,6,1,7]=>[6,4,3,2,5,1,7]=>[7,1,5,2,3,4,6]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[5,4,3,2,6,7,1]=>[7,4,3,2,5,6,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[5,4,3,2,7,1,6]=>[6,4,3,2,7,1,5]=>[5,1,7,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[5,4,3,2,7,6,1]=>[7,4,3,2,6,5,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[5,4,3,6,1,2,7]=>[6,5,3,4,2,1,7]=>[7,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[5,4,3,6,1,7,2]=>[7,5,3,4,2,6,1]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,4,3,6,2,1,7]=>[6,5,3,4,2,1,7]=>[7,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[5,4,3,6,2,7,1]=>[7,5,3,4,2,6,1]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[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]=>[4,1,2,7,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[5,4,3,7,1,6,2]=>[7,5,3,6,2,4,1]=>[1,4,2,6,3,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,4,3,7,2,1,6]=>[6,5,3,7,2,1,4]=>[4,1,2,7,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[5,4,3,7,2,6,1]=>[7,5,3,6,2,4,1]=>[1,4,2,6,3,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,4,3,7,6,1,2]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,4,3,7,6,2,1]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,4,6,1,2,3,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[5,4,6,1,2,7,3]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,4,6,1,3,2,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[5,4,6,1,3,7,2]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,4,6,1,7,2,3]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[5,4,6,1,7,3,2]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[5,4,6,2,1,3,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[5,4,6,2,1,7,3]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,4,6,2,3,1,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[5,4,6,2,3,7,1]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,4,6,2,7,1,3]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[5,4,6,2,7,3,1]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[5,4,6,3,1,2,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[5,4,6,3,1,7,2]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,4,6,3,2,1,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[5,4,6,3,2,7,1]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,4,6,3,7,1,2]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[5,4,6,3,7,2,1]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[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]=>[3,1,2,4,7,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[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]=>[3,1,2,4,7,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[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]=>[3,1,2,4,7,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[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]=>[3,1,2,4,7,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[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]=>[3,1,2,4,7,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[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]=>[3,1,2,4,7,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[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]=>[7,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[5,6,1,2,3,7,4]=>[7,5,3,4,2,6,1]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,6,1,2,4,3,7]=>[6,5,3,4,2,1,7]=>[7,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[5,6,1,2,4,7,3]=>[7,5,3,4,2,6,1]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[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]=>[7,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[5,6,1,3,2,7,4]=>[7,5,3,4,2,6,1]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,6,1,3,4,2,7]=>[6,5,3,4,2,1,7]=>[7,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[5,6,1,3,4,7,2]=>[7,5,3,4,2,6,1]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[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]=>[7,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[5,6,1,4,2,7,3]=>[7,5,3,4,2,6,1]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,6,1,4,3,2,7]=>[6,5,3,4,2,1,7]=>[7,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[5,6,1,4,3,7,2]=>[7,5,3,4,2,6,1]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[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]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,6,1,7,2,4,3]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,6,1,7,3,2,4]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,6,1,7,3,4,2]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,6,1,7,4,2,3]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,6,1,7,4,3,2]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,6,2,1,3,4,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[5,6,2,1,3,7,4]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,6,2,1,4,3,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[5,6,2,1,4,7,3]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,6,2,1,7,3,4]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[5,6,2,1,7,4,3]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[5,6,2,3,1,4,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[5,6,2,3,1,7,4]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,6,2,3,4,1,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[5,6,2,3,4,7,1]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,6,2,3,7,1,4]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[5,6,2,3,7,4,1]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[5,6,2,4,1,3,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[5,6,2,4,1,7,3]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,6,2,4,3,1,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[5,6,2,4,3,7,1]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,6,2,4,7,1,3]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[5,6,2,4,7,3,1]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[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]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[5,6,3,1,2,7,4]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,6,3,1,4,2,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[5,6,3,1,4,7,2]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,6,3,1,7,2,4]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[5,6,3,1,7,4,2]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[5,6,3,2,1,4,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[5,6,3,2,1,7,4]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,6,3,2,4,1,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[5,6,3,2,4,7,1]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,6,3,2,7,1,4]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[5,6,3,2,7,4,1]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[5,6,3,4,1,2,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[5,6,3,4,1,7,2]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,6,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[5,6,3,4,2,7,1]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,6,3,4,7,1,2]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[5,6,3,4,7,2,1]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[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]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[5,6,4,1,2,7,3]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,6,4,1,3,2,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[5,6,4,1,3,7,2]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,6,4,1,7,2,3]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[5,6,4,1,7,3,2]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[5,6,4,2,1,3,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[5,6,4,2,1,7,3]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,6,4,2,3,1,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[5,6,4,2,3,7,1]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,6,4,2,7,1,3]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[5,6,4,2,7,3,1]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[5,6,4,3,1,2,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[5,6,4,3,1,7,2]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,6,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[5,6,4,3,2,7,1]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,6,4,3,7,1,2]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[5,6,4,3,7,2,1]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[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]=>[2,1,4,5,3,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[5,7,1,3,2,6,4]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,7,1,3,4,2,6]=>[6,7,3,5,4,1,2]=>[2,1,4,5,3,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[5,7,1,3,4,6,2]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,7,1,3,6,2,4]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,7,1,3,6,4,2]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,7,1,4,2,3,6]=>[6,7,3,5,4,1,2]=>[2,1,4,5,3,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[5,7,1,4,2,6,3]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,7,1,4,3,2,6]=>[6,7,3,5,4,1,2]=>[2,1,4,5,3,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[5,7,1,4,3,6,2]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,7,1,4,6,2,3]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,7,1,4,6,3,2]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,7,1,6,2,3,4]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,7,1,6,2,4,3]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,7,1,6,3,2,4]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,7,1,6,3,4,2]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,7,1,6,4,2,3]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,7,1,6,4,3,2]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,7,2,1,3,4,6]=>[6,7,4,3,5,1,2]=>[2,1,5,3,4,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[5,7,2,1,3,6,4]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[5,7,2,1,4,3,6]=>[6,7,4,3,5,1,2]=>[2,1,5,3,4,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[5,7,2,1,4,6,3]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[5,7,2,1,6,3,4]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[5,7,2,1,6,4,3]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[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]=>[7,1,5,4,3,2,6]=>[[.,[[[[.,.],.],.],[.,.]]],.]
[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]=>[7,1,5,4,3,2,6]=>[[.,[[[[.,.],.],.],[.,.]]],.]
[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]=>[1,5,6,4,3,2,7]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[6,1,2,3,7,5,4]=>[7,2,3,4,6,5,1]=>[1,5,6,4,3,2,7]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[6,1,2,4,3,5,7]=>[6,2,3,5,4,1,7]=>[7,1,4,5,3,2,6]=>[[.,[[[.,.],.],[.,[.,.]]]],.]
[6,1,2,4,3,7,5]=>[7,2,3,5,4,6,1]=>[1,6,4,5,3,2,7]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[6,1,2,4,5,3,7]=>[6,2,3,5,4,1,7]=>[7,1,4,5,3,2,6]=>[[.,[[[.,.],.],[.,[.,.]]]],.]
[6,1,2,4,5,7,3]=>[7,2,3,5,4,6,1]=>[1,6,4,5,3,2,7]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[6,1,2,4,7,3,5]=>[7,2,3,6,5,4,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[6,1,2,4,7,5,3]=>[7,2,3,6,5,4,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[6,1,2,5,3,4,7]=>[6,2,3,5,4,1,7]=>[7,1,4,5,3,2,6]=>[[.,[[[.,.],.],[.,[.,.]]]],.]
[6,1,2,5,3,7,4]=>[7,2,3,5,4,6,1]=>[1,6,4,5,3,2,7]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[6,1,2,5,4,3,7]=>[6,2,3,5,4,1,7]=>[7,1,4,5,3,2,6]=>[[.,[[[.,.],.],[.,[.,.]]]],.]
[6,1,2,5,4,7,3]=>[7,2,3,5,4,6,1]=>[1,6,4,5,3,2,7]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[6,1,2,5,7,3,4]=>[7,2,3,6,5,4,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[6,1,2,5,7,4,3]=>[7,2,3,6,5,4,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[6,1,2,7,3,4,5]=>[7,2,3,6,5,4,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[6,1,2,7,3,5,4]=>[7,2,3,6,5,4,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[6,1,2,7,4,3,5]=>[7,2,3,6,5,4,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[6,1,2,7,4,5,3]=>[7,2,3,6,5,4,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[6,1,2,7,5,3,4]=>[7,2,3,6,5,4,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[6,1,2,7,5,4,3]=>[7,2,3,6,5,4,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[6,1,3,2,4,5,7]=>[6,2,4,3,5,1,7]=>[7,1,5,3,4,2,6]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[6,1,3,2,4,7,5]=>[7,2,4,3,5,6,1]=>[1,6,5,3,4,2,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[6,1,3,2,5,4,7]=>[6,2,4,3,5,1,7]=>[7,1,5,3,4,2,6]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[6,1,3,2,5,7,4]=>[7,2,4,3,5,6,1]=>[1,6,5,3,4,2,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[6,1,3,2,7,4,5]=>[7,2,4,3,6,5,1]=>[1,5,6,3,4,2,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[6,1,3,2,7,5,4]=>[7,2,4,3,6,5,1]=>[1,5,6,3,4,2,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[6,1,3,4,2,5,7]=>[6,2,5,4,3,1,7]=>[7,1,3,4,5,2,6]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[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]=>[7,1,3,4,5,2,6]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[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]=>[1,3,5,4,6,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,1,3,4,7,5,2]=>[7,2,6,4,5,3,1]=>[1,3,5,4,6,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,1,3,5,2,4,7]=>[6,2,5,4,3,1,7]=>[7,1,3,4,5,2,6]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[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]=>[7,1,3,4,5,2,6]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[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]=>[1,3,5,4,6,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,1,3,5,7,4,2]=>[7,2,6,4,5,3,1]=>[1,3,5,4,6,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,1,3,7,2,4,5]=>[7,2,5,6,3,4,1]=>[1,4,3,6,5,2,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[6,1,3,7,2,5,4]=>[7,2,5,6,3,4,1]=>[1,4,3,6,5,2,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[6,1,3,7,4,2,5]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,1,3,7,4,5,2]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,1,3,7,5,2,4]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,1,3,7,5,4,2]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,1,4,2,3,5,7]=>[6,2,5,4,3,1,7]=>[7,1,3,4,5,2,6]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[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]=>[7,1,3,4,5,2,6]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[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]=>[1,3,5,4,6,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,1,4,2,7,5,3]=>[7,2,6,4,5,3,1]=>[1,3,5,4,6,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,1,4,3,2,5,7]=>[6,2,5,4,3,1,7]=>[7,1,3,4,5,2,6]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[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]=>[7,1,3,4,5,2,6]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[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]=>[1,3,5,4,6,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,1,4,3,7,5,2]=>[7,2,6,4,5,3,1]=>[1,3,5,4,6,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,1,4,5,2,3,7]=>[6,2,5,4,3,1,7]=>[7,1,3,4,5,2,6]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[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]=>[7,1,3,4,5,2,6]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[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]=>[1,3,5,4,6,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,1,4,5,7,3,2]=>[7,2,6,4,5,3,1]=>[1,3,5,4,6,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,1,4,7,2,3,5]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,1,4,7,2,5,3]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,1,4,7,3,2,5]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,1,4,7,3,5,2]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,1,4,7,5,2,3]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,1,4,7,5,3,2]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,1,5,2,3,4,7]=>[6,2,5,4,3,1,7]=>[7,1,3,4,5,2,6]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[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]=>[7,1,3,4,5,2,6]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[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]=>[1,3,5,4,6,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,1,5,2,7,4,3]=>[7,2,6,4,5,3,1]=>[1,3,5,4,6,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,1,5,3,2,4,7]=>[6,2,5,4,3,1,7]=>[7,1,3,4,5,2,6]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[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]=>[7,1,3,4,5,2,6]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[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]=>[1,3,5,4,6,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,1,5,3,7,4,2]=>[7,2,6,4,5,3,1]=>[1,3,5,4,6,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,1,5,4,2,3,7]=>[6,2,5,4,3,1,7]=>[7,1,3,4,5,2,6]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[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]=>[7,1,3,4,5,2,6]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[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]=>[1,3,5,4,6,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,1,5,4,7,3,2]=>[7,2,6,4,5,3,1]=>[1,3,5,4,6,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,1,5,7,2,3,4]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,1,5,7,2,4,3]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,1,5,7,3,2,4]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,1,5,7,3,4,2]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,1,5,7,4,2,3]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,1,5,7,4,3,2]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,1,7,2,3,4,5]=>[7,2,6,4,5,3,1]=>[1,3,5,4,6,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,1,7,2,3,5,4]=>[7,2,6,4,5,3,1]=>[1,3,5,4,6,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,1,7,2,4,3,5]=>[7,2,6,4,5,3,1]=>[1,3,5,4,6,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,1,7,2,4,5,3]=>[7,2,6,4,5,3,1]=>[1,3,5,4,6,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,1,7,2,5,3,4]=>[7,2,6,4,5,3,1]=>[1,3,5,4,6,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,1,7,2,5,4,3]=>[7,2,6,4,5,3,1]=>[1,3,5,4,6,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,1,7,3,2,4,5]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,1,7,3,2,5,4]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,1,7,3,4,2,5]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,1,7,3,4,5,2]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,1,7,3,5,2,4]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,1,7,3,5,4,2]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,1,7,4,2,3,5]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,1,7,4,2,5,3]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,1,7,4,3,2,5]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,1,7,4,3,5,2]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,1,7,4,5,2,3]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,1,7,4,5,3,2]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,1,7,5,2,3,4]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,1,7,5,2,4,3]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,1,7,5,3,2,4]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,1,7,5,3,4,2]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,1,7,5,4,2,3]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,1,7,5,4,3,2]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,2,1,3,4,5,7]=>[6,3,2,4,5,1,7]=>[7,1,5,4,2,3,6]=>[[.,[[[.,[.,.]],.],[.,.]]],.]
[6,2,1,3,4,7,5]=>[7,3,2,4,5,6,1]=>[1,6,5,4,2,3,7]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[6,2,1,3,5,4,7]=>[6,3,2,4,5,1,7]=>[7,1,5,4,2,3,6]=>[[.,[[[.,[.,.]],.],[.,.]]],.]
[6,2,1,3,5,7,4]=>[7,3,2,4,5,6,1]=>[1,6,5,4,2,3,7]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[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]=>[7,1,4,5,2,3,6]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[6,2,1,4,3,7,5]=>[7,3,2,5,4,6,1]=>[1,6,4,5,2,3,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[6,2,1,4,5,3,7]=>[6,3,2,5,4,1,7]=>[7,1,4,5,2,3,6]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[6,2,1,4,5,7,3]=>[7,3,2,5,4,6,1]=>[1,6,4,5,2,3,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[6,2,1,4,7,3,5]=>[7,3,2,6,5,4,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[6,2,1,4,7,5,3]=>[7,3,2,6,5,4,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[6,2,1,5,3,4,7]=>[6,3,2,5,4,1,7]=>[7,1,4,5,2,3,6]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[6,2,1,5,3,7,4]=>[7,3,2,5,4,6,1]=>[1,6,4,5,2,3,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[6,2,1,5,4,3,7]=>[6,3,2,5,4,1,7]=>[7,1,4,5,2,3,6]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[6,2,1,5,4,7,3]=>[7,3,2,5,4,6,1]=>[1,6,4,5,2,3,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[6,2,1,5,7,3,4]=>[7,3,2,6,5,4,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[6,2,1,5,7,4,3]=>[7,3,2,6,5,4,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[6,2,1,7,3,4,5]=>[7,3,2,6,5,4,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[6,2,1,7,3,5,4]=>[7,3,2,6,5,4,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[6,2,1,7,4,3,5]=>[7,3,2,6,5,4,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[6,2,1,7,4,5,3]=>[7,3,2,6,5,4,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[6,2,1,7,5,3,4]=>[7,3,2,6,5,4,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[6,2,1,7,5,4,3]=>[7,3,2,6,5,4,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[6,2,3,1,4,5,7]=>[6,4,3,2,5,1,7]=>[7,1,5,2,3,4,6]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[6,2,3,1,4,7,5]=>[7,4,3,2,5,6,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[6,2,3,1,5,4,7]=>[6,4,3,2,5,1,7]=>[7,1,5,2,3,4,6]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[6,2,3,1,5,7,4]=>[7,4,3,2,5,6,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[6,2,3,1,7,4,5]=>[7,4,3,2,6,5,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[6,2,3,1,7,5,4]=>[7,4,3,2,6,5,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[6,2,3,4,1,5,7]=>[6,5,3,4,2,1,7]=>[7,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[6,2,3,4,1,7,5]=>[7,5,3,4,2,6,1]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[6,2,3,4,5,1,7]=>[6,5,3,4,2,1,7]=>[7,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[6,2,3,4,5,7,1]=>[7,5,3,4,2,6,1]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[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]=>[7,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[6,2,3,5,1,7,4]=>[7,5,3,4,2,6,1]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[6,2,3,5,4,1,7]=>[6,5,3,4,2,1,7]=>[7,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[6,2,3,5,4,7,1]=>[7,5,3,4,2,6,1]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[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]=>[1,4,2,6,3,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[6,2,3,7,1,5,4]=>[7,5,3,6,2,4,1]=>[1,4,2,6,3,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[6,2,3,7,4,1,5]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,2,3,7,4,5,1]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,2,3,7,5,1,4]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,2,3,7,5,4,1]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,2,4,1,3,5,7]=>[6,4,5,2,3,1,7]=>[7,1,3,2,5,4,6]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[6,2,4,1,3,7,5]=>[7,4,5,2,3,6,1]=>[1,6,3,2,5,4,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[6,2,4,1,5,3,7]=>[6,4,5,2,3,1,7]=>[7,1,3,2,5,4,6]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[6,2,4,1,5,7,3]=>[7,4,5,2,3,6,1]=>[1,6,3,2,5,4,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[6,2,4,1,7,3,5]=>[7,4,6,2,5,3,1]=>[1,3,5,2,6,4,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,2,4,1,7,5,3]=>[7,4,6,2,5,3,1]=>[1,3,5,2,6,4,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,2,4,3,1,5,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,2,4,3,1,7,5]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,2,4,3,5,1,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,2,4,3,5,7,1]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,2,4,3,7,1,5]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,2,4,3,7,5,1]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,2,4,5,1,3,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,2,4,5,1,7,3]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,2,4,5,3,1,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,2,4,5,3,7,1]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,2,4,5,7,1,3]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,2,4,5,7,3,1]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[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]=>[7,1,3,2,5,4,6]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[6,2,5,1,3,7,4]=>[7,4,5,2,3,6,1]=>[1,6,3,2,5,4,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[6,2,5,1,4,3,7]=>[6,4,5,2,3,1,7]=>[7,1,3,2,5,4,6]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[6,2,5,1,4,7,3]=>[7,4,5,2,3,6,1]=>[1,6,3,2,5,4,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[6,2,5,1,7,3,4]=>[7,4,6,2,5,3,1]=>[1,3,5,2,6,4,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,2,5,1,7,4,3]=>[7,4,6,2,5,3,1]=>[1,3,5,2,6,4,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,2,5,3,1,4,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,2,5,3,1,7,4]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,2,5,3,4,1,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,2,5,3,4,7,1]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,2,5,3,7,1,4]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,2,5,3,7,4,1]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,2,5,4,1,3,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,2,5,4,1,7,3]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,2,5,4,3,1,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,2,5,4,3,7,1]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,2,5,4,7,1,3]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,2,5,4,7,3,1]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[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]=>[1,3,5,2,6,4,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,2,7,1,3,5,4]=>[7,4,6,2,5,3,1]=>[1,3,5,2,6,4,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,2,7,1,4,3,5]=>[7,4,6,2,5,3,1]=>[1,3,5,2,6,4,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,2,7,1,4,5,3]=>[7,4,6,2,5,3,1]=>[1,3,5,2,6,4,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,2,7,1,5,3,4]=>[7,4,6,2,5,3,1]=>[1,3,5,2,6,4,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,2,7,1,5,4,3]=>[7,4,6,2,5,3,1]=>[1,3,5,2,6,4,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[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]=>[7,1,5,2,3,4,6]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[6,3,1,2,4,7,5]=>[7,4,3,2,5,6,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[6,3,1,2,5,4,7]=>[6,4,3,2,5,1,7]=>[7,1,5,2,3,4,6]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[6,3,1,2,5,7,4]=>[7,4,3,2,5,6,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[6,3,1,2,7,4,5]=>[7,4,3,2,6,5,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[6,3,1,2,7,5,4]=>[7,4,3,2,6,5,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[6,3,1,4,2,5,7]=>[6,5,3,4,2,1,7]=>[7,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[6,3,1,4,2,7,5]=>[7,5,3,4,2,6,1]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[6,3,1,4,5,2,7]=>[6,5,3,4,2,1,7]=>[7,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[6,3,1,4,5,7,2]=>[7,5,3,4,2,6,1]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[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]=>[7,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[6,3,1,5,2,7,4]=>[7,5,3,4,2,6,1]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[6,3,1,5,4,2,7]=>[6,5,3,4,2,1,7]=>[7,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[6,3,1,5,4,7,2]=>[7,5,3,4,2,6,1]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[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]=>[1,4,2,6,3,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[6,3,1,7,2,5,4]=>[7,5,3,6,2,4,1]=>[1,4,2,6,3,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[6,3,1,7,4,2,5]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,3,1,7,4,5,2]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,3,1,7,5,2,4]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,3,1,7,5,4,2]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,3,2,1,4,5,7]=>[6,4,3,2,5,1,7]=>[7,1,5,2,3,4,6]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[6,3,2,1,4,7,5]=>[7,4,3,2,5,6,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[6,3,2,1,5,4,7]=>[6,4,3,2,5,1,7]=>[7,1,5,2,3,4,6]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[6,3,2,1,5,7,4]=>[7,4,3,2,5,6,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[6,3,2,1,7,4,5]=>[7,4,3,2,6,5,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[6,3,2,1,7,5,4]=>[7,4,3,2,6,5,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[6,3,2,4,1,5,7]=>[6,5,3,4,2,1,7]=>[7,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[6,3,2,4,1,7,5]=>[7,5,3,4,2,6,1]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[6,3,2,4,5,1,7]=>[6,5,3,4,2,1,7]=>[7,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[6,3,2,4,5,7,1]=>[7,5,3,4,2,6,1]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[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]=>[7,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[6,3,2,5,1,7,4]=>[7,5,3,4,2,6,1]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[6,3,2,5,4,1,7]=>[6,5,3,4,2,1,7]=>[7,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[6,3,2,5,4,7,1]=>[7,5,3,4,2,6,1]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[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]=>[1,4,2,6,3,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[6,3,2,7,1,5,4]=>[7,5,3,6,2,4,1]=>[1,4,2,6,3,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[6,3,2,7,4,1,5]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,3,2,7,4,5,1]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,3,2,7,5,1,4]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,3,2,7,5,4,1]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,3,4,1,2,5,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,3,4,1,2,7,5]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,3,4,1,5,2,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,3,4,1,5,7,2]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,3,4,1,7,2,5]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,3,4,1,7,5,2]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,3,4,2,1,5,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,3,4,2,1,7,5]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,3,4,2,5,1,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,3,4,2,5,7,1]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,3,4,2,7,1,5]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,3,4,2,7,5,1]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,3,4,5,1,2,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,3,4,5,1,7,2]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,3,4,5,2,1,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,3,4,5,2,7,1]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,3,4,5,7,1,2]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,3,4,5,7,2,1]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[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]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,3,5,1,2,7,4]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,3,5,1,4,2,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,3,5,1,4,7,2]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,3,5,1,7,2,4]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,3,5,1,7,4,2]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,3,5,2,1,4,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,3,5,2,1,7,4]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,3,5,2,4,1,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,3,5,2,4,7,1]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,3,5,2,7,1,4]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,3,5,2,7,4,1]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,3,5,4,1,2,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,3,5,4,1,7,2]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,3,5,4,2,1,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,3,5,4,2,7,1]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,3,5,4,7,1,2]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,3,5,4,7,2,1]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[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]=>[7,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[6,4,1,2,3,7,5]=>[7,5,3,4,2,6,1]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[6,4,1,2,5,3,7]=>[6,5,3,4,2,1,7]=>[7,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[6,4,1,2,5,7,3]=>[7,5,3,4,2,6,1]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[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]=>[7,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[6,4,1,3,2,7,5]=>[7,5,3,4,2,6,1]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[6,4,1,3,5,2,7]=>[6,5,3,4,2,1,7]=>[7,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[6,4,1,3,5,7,2]=>[7,5,3,4,2,6,1]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[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]=>[7,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[6,4,1,5,2,7,3]=>[7,5,3,4,2,6,1]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[6,4,1,5,3,2,7]=>[6,5,3,4,2,1,7]=>[7,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[6,4,1,5,3,7,2]=>[7,5,3,4,2,6,1]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[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]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,4,1,7,2,5,3]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,4,1,7,3,2,5]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,4,1,7,3,5,2]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,4,1,7,5,2,3]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,4,1,7,5,3,2]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,4,2,1,3,5,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,4,2,1,3,7,5]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,4,2,1,5,3,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,4,2,1,5,7,3]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,4,2,1,7,3,5]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,4,2,1,7,5,3]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,4,2,3,1,5,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,4,2,3,1,7,5]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,4,2,3,5,1,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,4,2,3,5,7,1]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,4,2,3,7,1,5]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,4,2,3,7,5,1]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,4,2,5,1,3,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,4,2,5,1,7,3]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,4,2,5,3,1,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,4,2,5,3,7,1]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,4,2,5,7,1,3]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,4,2,5,7,3,1]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[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]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,4,3,1,2,7,5]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,4,3,1,5,2,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,4,3,1,5,7,2]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,4,3,1,7,2,5]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,4,3,1,7,5,2]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,4,3,2,1,5,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,4,3,2,1,7,5]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,4,3,2,5,1,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,4,3,2,5,7,1]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,4,3,2,7,1,5]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,4,3,2,7,5,1]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,4,3,5,1,2,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,4,3,5,1,7,2]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,4,3,5,2,1,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,4,3,5,2,7,1]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,4,3,5,7,1,2]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,4,3,5,7,2,1]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[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]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,4,5,1,2,7,3]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,4,5,1,3,2,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,4,5,1,3,7,2]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,4,5,1,7,2,3]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,4,5,1,7,3,2]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,4,5,2,1,3,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,4,5,2,1,7,3]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,4,5,2,3,1,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,4,5,2,3,7,1]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,4,5,2,7,1,3]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,4,5,2,7,3,1]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,4,5,3,1,2,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,4,5,3,1,7,2]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,4,5,3,2,1,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,4,5,3,2,7,1]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,4,5,3,7,1,2]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,4,5,3,7,2,1]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[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]=>[7,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[6,5,1,2,3,7,4]=>[7,5,3,4,2,6,1]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[6,5,1,2,4,3,7]=>[6,5,3,4,2,1,7]=>[7,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[6,5,1,2,4,7,3]=>[7,5,3,4,2,6,1]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[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]=>[7,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[6,5,1,3,2,7,4]=>[7,5,3,4,2,6,1]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[6,5,1,3,4,2,7]=>[6,5,3,4,2,1,7]=>[7,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[6,5,1,3,4,7,2]=>[7,5,3,4,2,6,1]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[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]=>[7,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[6,5,1,4,2,7,3]=>[7,5,3,4,2,6,1]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[6,5,1,4,3,2,7]=>[6,5,3,4,2,1,7]=>[7,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[6,5,1,4,3,7,2]=>[7,5,3,4,2,6,1]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[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]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,5,1,7,2,4,3]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,5,1,7,3,2,4]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,5,1,7,3,4,2]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,5,1,7,4,2,3]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,5,1,7,4,3,2]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,5,2,1,3,4,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,5,2,1,3,7,4]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,5,2,1,4,3,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,5,2,1,4,7,3]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,5,2,1,7,3,4]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,5,2,1,7,4,3]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,5,2,3,1,4,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,5,2,3,1,7,4]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,5,2,3,4,1,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,5,2,3,4,7,1]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,5,2,3,7,1,4]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,5,2,3,7,4,1]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,5,2,4,1,3,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,5,2,4,1,7,3]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,5,2,4,3,1,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,5,2,4,3,7,1]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,5,2,4,7,1,3]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,5,2,4,7,3,1]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[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]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,5,3,1,2,7,4]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,5,3,1,4,2,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,5,3,1,4,7,2]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,5,3,1,7,2,4]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,5,3,1,7,4,2]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,5,3,2,1,4,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,5,3,2,1,7,4]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,5,3,2,4,1,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,5,3,2,4,7,1]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,5,3,2,7,1,4]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,5,3,2,7,4,1]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,5,3,4,1,2,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,5,3,4,1,7,2]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,5,3,4,2,7,1]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,5,3,4,7,1,2]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,5,3,4,7,2,1]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[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]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,5,4,1,2,7,3]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,5,4,1,3,2,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,5,4,1,3,7,2]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,5,4,1,7,2,3]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,5,4,1,7,3,2]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,5,4,2,1,3,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,5,4,2,1,7,3]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,5,4,2,3,1,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,5,4,2,3,7,1]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,5,4,2,7,1,3]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,5,4,2,7,3,1]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,5,4,3,1,2,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,5,4,3,1,7,2]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,5,4,3,2,7,1]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,5,4,3,7,1,2]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,5,4,3,7,2,1]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[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]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,7,1,3,2,5,4]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,7,1,3,4,2,5]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,7,1,3,4,5,2]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,7,1,3,5,2,4]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,7,1,3,5,4,2]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,7,1,4,2,3,5]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,7,1,4,2,5,3]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,7,1,4,3,2,5]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,7,1,4,3,5,2]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,7,1,4,5,2,3]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,7,1,4,5,3,2]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,7,1,5,2,3,4]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,7,1,5,2,4,3]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,7,1,5,3,2,4]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,7,1,5,3,4,2]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,7,1,5,4,2,3]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,7,1,5,4,3,2]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,7,2,1,3,4,5]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,7,2,1,3,5,4]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,7,2,1,4,3,5]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,7,2,1,4,5,3]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,7,2,1,5,3,4]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,7,2,1,5,4,3]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[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]=>[1,5,6,4,3,2,7]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[7,1,2,3,5,6,4]=>[7,2,3,4,6,5,1]=>[1,5,6,4,3,2,7]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[7,1,2,3,6,4,5]=>[7,2,3,4,6,5,1]=>[1,5,6,4,3,2,7]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[7,1,2,3,6,5,4]=>[7,2,3,4,6,5,1]=>[1,5,6,4,3,2,7]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[7,1,2,4,3,5,6]=>[7,2,3,5,4,6,1]=>[1,6,4,5,3,2,7]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[7,1,2,4,3,6,5]=>[7,2,3,5,4,6,1]=>[1,6,4,5,3,2,7]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[7,1,2,4,5,3,6]=>[7,2,3,6,5,4,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[7,1,2,4,5,6,3]=>[7,2,3,6,5,4,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[7,1,2,4,6,3,5]=>[7,2,3,6,5,4,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[7,1,2,4,6,5,3]=>[7,2,3,6,5,4,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[7,1,2,5,3,4,6]=>[7,2,3,6,5,4,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[7,1,2,5,3,6,4]=>[7,2,3,6,5,4,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[7,1,2,5,4,3,6]=>[7,2,3,6,5,4,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[7,1,2,5,4,6,3]=>[7,2,3,6,5,4,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[7,1,2,5,6,3,4]=>[7,2,3,6,5,4,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[7,1,2,5,6,4,3]=>[7,2,3,6,5,4,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[7,1,2,6,3,4,5]=>[7,2,3,6,5,4,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[7,1,2,6,3,5,4]=>[7,2,3,6,5,4,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[7,1,2,6,4,3,5]=>[7,2,3,6,5,4,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[7,1,2,6,4,5,3]=>[7,2,3,6,5,4,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[7,1,2,6,5,3,4]=>[7,2,3,6,5,4,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[7,1,2,6,5,4,3]=>[7,2,3,6,5,4,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[7,1,3,2,4,5,6]=>[7,2,4,3,5,6,1]=>[1,6,5,3,4,2,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[7,1,3,2,4,6,5]=>[7,2,4,3,5,6,1]=>[1,6,5,3,4,2,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[7,1,3,2,5,4,6]=>[7,2,4,3,6,5,1]=>[1,5,6,3,4,2,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,1,3,2,5,6,4]=>[7,2,4,3,6,5,1]=>[1,5,6,3,4,2,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,1,3,2,6,4,5]=>[7,2,4,3,6,5,1]=>[1,5,6,3,4,2,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,1,3,2,6,5,4]=>[7,2,4,3,6,5,1]=>[1,5,6,3,4,2,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[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]=>[1,3,5,4,6,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,1,3,4,5,6,2]=>[7,2,6,4,5,3,1]=>[1,3,5,4,6,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,1,3,4,6,2,5]=>[7,2,6,4,5,3,1]=>[1,3,5,4,6,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,1,3,4,6,5,2]=>[7,2,6,4,5,3,1]=>[1,3,5,4,6,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,1,3,5,2,4,6]=>[7,2,5,6,3,4,1]=>[1,4,3,6,5,2,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[7,1,3,5,2,6,4]=>[7,2,5,6,3,4,1]=>[1,4,3,6,5,2,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[7,1,3,5,4,2,6]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,3,5,4,6,2]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,3,5,6,2,4]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,3,5,6,4,2]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,3,6,2,4,5]=>[7,2,5,6,3,4,1]=>[1,4,3,6,5,2,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[7,1,3,6,2,5,4]=>[7,2,5,6,3,4,1]=>[1,4,3,6,5,2,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[7,1,3,6,4,2,5]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,3,6,4,5,2]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,3,6,5,2,4]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,3,6,5,4,2]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[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]=>[1,3,5,4,6,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,1,4,2,5,6,3]=>[7,2,6,4,5,3,1]=>[1,3,5,4,6,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,1,4,2,6,3,5]=>[7,2,6,4,5,3,1]=>[1,3,5,4,6,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,1,4,2,6,5,3]=>[7,2,6,4,5,3,1]=>[1,3,5,4,6,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[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]=>[1,3,5,4,6,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,1,4,3,5,6,2]=>[7,2,6,4,5,3,1]=>[1,3,5,4,6,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,1,4,3,6,2,5]=>[7,2,6,4,5,3,1]=>[1,3,5,4,6,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,1,4,3,6,5,2]=>[7,2,6,4,5,3,1]=>[1,3,5,4,6,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,1,4,5,2,3,6]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,4,5,2,6,3]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,4,5,3,2,6]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,4,5,3,6,2]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,4,5,6,2,3]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,4,5,6,3,2]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,4,6,2,3,5]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,4,6,2,5,3]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,4,6,3,2,5]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,4,6,3,5,2]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,4,6,5,2,3]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,4,6,5,3,2]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,5,2,3,4,6]=>[7,2,6,4,5,3,1]=>[1,3,5,4,6,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,1,5,2,3,6,4]=>[7,2,6,4,5,3,1]=>[1,3,5,4,6,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,1,5,2,4,3,6]=>[7,2,6,4,5,3,1]=>[1,3,5,4,6,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,1,5,2,4,6,3]=>[7,2,6,4,5,3,1]=>[1,3,5,4,6,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,1,5,2,6,3,4]=>[7,2,6,4,5,3,1]=>[1,3,5,4,6,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,1,5,2,6,4,3]=>[7,2,6,4,5,3,1]=>[1,3,5,4,6,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,1,5,3,2,4,6]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,5,3,2,6,4]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,5,3,4,2,6]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
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[7,1,5,3,6,2,4]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,5,3,6,4,2]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,5,4,2,3,6]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,5,4,2,6,3]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,5,4,3,2,6]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,5,4,3,6,2]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,5,4,6,2,3]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,5,4,6,3,2]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,5,6,2,3,4]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,5,6,2,4,3]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,5,6,3,2,4]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,5,6,3,4,2]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,5,6,4,2,3]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,5,6,4,3,2]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,6,2,3,4,5]=>[7,2,6,4,5,3,1]=>[1,3,5,4,6,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,1,6,2,3,5,4]=>[7,2,6,4,5,3,1]=>[1,3,5,4,6,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,1,6,2,4,3,5]=>[7,2,6,4,5,3,1]=>[1,3,5,4,6,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,1,6,2,4,5,3]=>[7,2,6,4,5,3,1]=>[1,3,5,4,6,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,1,6,2,5,3,4]=>[7,2,6,4,5,3,1]=>[1,3,5,4,6,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,1,6,2,5,4,3]=>[7,2,6,4,5,3,1]=>[1,3,5,4,6,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,1,6,3,2,4,5]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,6,3,2,5,4]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,6,3,4,2,5]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,6,3,4,5,2]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,6,3,5,2,4]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,6,3,5,4,2]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,6,4,2,3,5]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,6,4,2,5,3]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,6,4,3,2,5]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,6,4,3,5,2]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,6,4,5,2,3]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,6,4,5,3,2]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,6,5,2,3,4]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,6,5,2,4,3]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,6,5,3,2,4]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,6,5,3,4,2]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,6,5,4,2,3]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,6,5,4,3,2]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,2,1,3,4,5,6]=>[7,3,2,4,5,6,1]=>[1,6,5,4,2,3,7]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[7,2,1,3,4,6,5]=>[7,3,2,4,5,6,1]=>[1,6,5,4,2,3,7]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[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]=>[1,6,4,5,2,3,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[7,2,1,4,3,6,5]=>[7,3,2,5,4,6,1]=>[1,6,4,5,2,3,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[7,2,1,4,5,3,6]=>[7,3,2,6,5,4,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,2,1,4,5,6,3]=>[7,3,2,6,5,4,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,2,1,4,6,3,5]=>[7,3,2,6,5,4,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,2,1,4,6,5,3]=>[7,3,2,6,5,4,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,2,1,5,3,4,6]=>[7,3,2,6,5,4,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,2,1,5,3,6,4]=>[7,3,2,6,5,4,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,2,1,5,4,3,6]=>[7,3,2,6,5,4,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,2,1,5,4,6,3]=>[7,3,2,6,5,4,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,2,1,5,6,3,4]=>[7,3,2,6,5,4,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,2,1,5,6,4,3]=>[7,3,2,6,5,4,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,2,1,6,3,4,5]=>[7,3,2,6,5,4,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,2,1,6,3,5,4]=>[7,3,2,6,5,4,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,2,1,6,4,3,5]=>[7,3,2,6,5,4,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,2,1,6,4,5,3]=>[7,3,2,6,5,4,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,2,1,6,5,3,4]=>[7,3,2,6,5,4,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,2,1,6,5,4,3]=>[7,3,2,6,5,4,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,2,3,1,4,5,6]=>[7,4,3,2,5,6,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[7,2,3,1,4,6,5]=>[7,4,3,2,5,6,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[7,2,3,1,5,4,6]=>[7,4,3,2,6,5,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,2,3,1,5,6,4]=>[7,4,3,2,6,5,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,2,3,1,6,4,5]=>[7,4,3,2,6,5,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,2,3,1,6,5,4]=>[7,4,3,2,6,5,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,2,3,4,1,5,6]=>[7,5,3,4,2,6,1]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[7,2,3,4,1,6,5]=>[7,5,3,4,2,6,1]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[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]=>[1,4,2,6,3,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,2,3,5,1,6,4]=>[7,5,3,6,2,4,1]=>[1,4,2,6,3,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,2,3,5,4,1,6]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,2,3,5,4,6,1]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,2,3,5,6,1,4]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,2,3,5,6,4,1]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,2,3,6,1,4,5]=>[7,5,3,6,2,4,1]=>[1,4,2,6,3,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,2,3,6,1,5,4]=>[7,5,3,6,2,4,1]=>[1,4,2,6,3,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,2,3,6,4,1,5]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,2,3,6,4,5,1]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,2,3,6,5,1,4]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,2,3,6,5,4,1]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,2,4,1,3,5,6]=>[7,4,5,2,3,6,1]=>[1,6,3,2,5,4,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[7,2,4,1,3,6,5]=>[7,4,5,2,3,6,1]=>[1,6,3,2,5,4,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[7,2,4,1,5,3,6]=>[7,4,6,2,5,3,1]=>[1,3,5,2,6,4,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,2,4,1,5,6,3]=>[7,4,6,2,5,3,1]=>[1,3,5,2,6,4,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,2,4,1,6,3,5]=>[7,4,6,2,5,3,1]=>[1,3,5,2,6,4,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,2,4,1,6,5,3]=>[7,4,6,2,5,3,1]=>[1,3,5,2,6,4,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,2,4,3,1,5,6]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,2,4,3,1,6,5]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,2,4,3,5,1,6]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,2,4,3,5,6,1]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,2,4,3,6,1,5]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,2,4,3,6,5,1]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[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]=>[1,3,5,2,6,4,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,2,5,1,3,6,4]=>[7,4,6,2,5,3,1]=>[1,3,5,2,6,4,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,2,5,1,4,3,6]=>[7,4,6,2,5,3,1]=>[1,3,5,2,6,4,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,2,5,1,4,6,3]=>[7,4,6,2,5,3,1]=>[1,3,5,2,6,4,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,2,5,1,6,3,4]=>[7,4,6,2,5,3,1]=>[1,3,5,2,6,4,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,2,5,1,6,4,3]=>[7,4,6,2,5,3,1]=>[1,3,5,2,6,4,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[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]=>[1,3,5,2,6,4,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,2,6,1,3,5,4]=>[7,4,6,2,5,3,1]=>[1,3,5,2,6,4,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,2,6,1,4,3,5]=>[7,4,6,2,5,3,1]=>[1,3,5,2,6,4,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,2,6,1,4,5,3]=>[7,4,6,2,5,3,1]=>[1,3,5,2,6,4,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,2,6,1,5,3,4]=>[7,4,6,2,5,3,1]=>[1,3,5,2,6,4,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,2,6,1,5,4,3]=>[7,4,6,2,5,3,1]=>[1,3,5,2,6,4,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[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]=>[1,6,5,2,3,4,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[7,3,1,2,4,6,5]=>[7,4,3,2,5,6,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[7,3,1,2,5,4,6]=>[7,4,3,2,6,5,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,3,1,2,5,6,4]=>[7,4,3,2,6,5,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,3,1,2,6,4,5]=>[7,4,3,2,6,5,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,3,1,2,6,5,4]=>[7,4,3,2,6,5,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,3,1,4,2,5,6]=>[7,5,3,4,2,6,1]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[7,3,1,4,2,6,5]=>[7,5,3,4,2,6,1]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[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]=>[1,4,2,6,3,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,3,1,5,2,6,4]=>[7,5,3,6,2,4,1]=>[1,4,2,6,3,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,3,1,5,4,2,6]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,3,1,5,4,6,2]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,3,1,5,6,2,4]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,3,1,5,6,4,2]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,3,1,6,2,4,5]=>[7,5,3,6,2,4,1]=>[1,4,2,6,3,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,3,1,6,2,5,4]=>[7,5,3,6,2,4,1]=>[1,4,2,6,3,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,3,1,6,4,2,5]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,3,1,6,4,5,2]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,3,1,6,5,2,4]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,3,1,6,5,4,2]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,3,2,1,4,5,6]=>[7,4,3,2,5,6,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[7,3,2,1,4,6,5]=>[7,4,3,2,5,6,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[7,3,2,1,5,4,6]=>[7,4,3,2,6,5,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,3,2,1,5,6,4]=>[7,4,3,2,6,5,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,3,2,1,6,4,5]=>[7,4,3,2,6,5,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,3,2,1,6,5,4]=>[7,4,3,2,6,5,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,3,2,4,1,5,6]=>[7,5,3,4,2,6,1]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[7,3,2,4,1,6,5]=>[7,5,3,4,2,6,1]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[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]=>[1,4,2,6,3,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,3,2,5,1,6,4]=>[7,5,3,6,2,4,1]=>[1,4,2,6,3,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,3,2,5,4,1,6]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,3,2,5,4,6,1]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,3,2,5,6,1,4]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,3,2,5,6,4,1]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,3,2,6,1,4,5]=>[7,5,3,6,2,4,1]=>[1,4,2,6,3,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,3,2,6,1,5,4]=>[7,5,3,6,2,4,1]=>[1,4,2,6,3,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,3,2,6,4,1,5]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,3,2,6,4,5,1]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,3,2,6,5,1,4]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,3,2,6,5,4,1]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,3,4,1,2,5,6]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,3,4,1,2,6,5]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,3,4,1,5,2,6]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,3,4,1,5,6,2]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,3,4,1,6,2,5]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,3,4,1,6,5,2]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,3,4,2,1,5,6]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,3,4,2,1,6,5]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,3,4,2,5,1,6]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,3,4,2,5,6,1]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,3,4,2,6,1,5]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,3,4,2,6,5,1]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,3,4,5,1,2,6]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,4,5,1,6,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,4,5,2,1,6]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,4,5,2,6,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,4,5,6,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,4,5,6,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,4,6,1,2,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,4,6,1,5,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,4,6,2,1,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,4,6,2,5,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,4,6,5,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,4,6,5,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,5,1,2,4,6]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[7,3,5,1,2,6,4]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[7,3,5,1,4,2,6]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,5,1,4,6,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,5,1,6,2,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,5,1,6,4,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,5,2,1,4,6]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[7,3,5,2,1,6,4]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
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[7,3,5,2,4,6,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,5,2,6,1,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,5,2,6,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,5,4,1,2,6]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,5,4,1,6,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,5,4,2,1,6]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,5,4,2,6,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,5,4,6,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,5,4,6,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,5,6,1,2,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,5,6,1,4,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,5,6,2,1,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,5,6,2,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,5,6,4,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,5,6,4,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,6,1,2,4,5]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[7,3,6,1,2,5,4]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[7,3,6,1,4,2,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,6,1,4,5,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,6,1,5,2,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,6,1,5,4,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,6,2,1,4,5]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[7,3,6,2,1,5,4]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[7,3,6,2,4,1,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,6,2,4,5,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,6,2,5,1,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,6,2,5,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,6,4,1,2,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,6,4,1,5,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,6,4,2,1,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,6,4,2,5,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,6,4,5,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,6,4,5,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,6,5,1,2,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,6,5,1,4,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,6,5,2,1,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,6,5,2,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,6,5,4,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,6,5,4,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,1,2,3,5,6]=>[7,5,3,4,2,6,1]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[7,4,1,2,3,6,5]=>[7,5,3,4,2,6,1]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[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]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[7,4,1,3,2,6,5]=>[7,5,3,4,2,6,1]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[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]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,4,1,5,2,6,3]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,4,1,5,3,2,6]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,4,1,5,3,6,2]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,4,1,5,6,2,3]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,4,1,5,6,3,2]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,4,1,6,2,3,5]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,4,1,6,2,5,3]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,4,1,6,3,2,5]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,4,1,6,3,5,2]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,4,1,6,5,2,3]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,4,1,6,5,3,2]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,4,2,1,3,5,6]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,4,2,1,3,6,5]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,4,2,1,5,3,6]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,4,2,1,5,6,3]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,4,2,1,6,3,5]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,4,2,1,6,5,3]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,4,2,3,1,5,6]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,4,2,3,1,6,5]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,4,2,3,5,1,6]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,4,2,3,5,6,1]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,4,2,3,6,1,5]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,4,2,3,6,5,1]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[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]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,4,3,1,2,6,5]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,4,3,1,5,2,6]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,4,3,1,5,6,2]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,4,3,1,6,2,5]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,4,3,1,6,5,2]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,4,3,2,1,5,6]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,4,3,2,1,6,5]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,4,3,2,5,1,6]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,4,3,2,5,6,1]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,4,3,2,6,1,5]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,4,3,2,6,5,1]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[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]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,5,1,3,2,6,4]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,5,1,3,4,2,6]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,5,1,3,4,6,2]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,5,1,3,6,2,4]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,5,1,3,6,4,2]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,5,1,4,2,3,6]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,5,1,4,2,6,3]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,5,1,4,3,2,6]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,5,1,4,3,6,2]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,5,1,4,6,2,3]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,5,1,4,6,3,2]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,5,1,6,2,3,4]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,5,1,6,2,4,3]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,5,1,6,3,2,4]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,5,1,6,3,4,2]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,5,1,6,4,2,3]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,5,1,6,4,3,2]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,5,2,1,3,4,6]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,5,2,1,3,6,4]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,5,2,1,4,3,6]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,5,2,1,4,6,3]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,5,2,1,6,3,4]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,5,2,1,6,4,3]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[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]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,6,1,3,2,5,4]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,6,1,3,4,2,5]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,6,1,3,4,5,2]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,6,1,3,5,2,4]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,6,1,3,5,4,2]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,6,1,4,2,3,5]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,6,1,4,2,5,3]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,6,1,4,3,2,5]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,6,1,4,3,5,2]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,6,1,4,5,2,3]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,6,1,4,5,3,2]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,6,1,5,2,3,4]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,6,1,5,2,4,3]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,6,1,5,3,2,4]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,6,1,5,3,4,2]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,6,1,5,4,2,3]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,6,1,5,4,3,2]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,6,2,1,3,4,5]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,6,2,1,3,5,4]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,6,2,1,4,3,5]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,6,2,1,4,5,3]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,6,2,1,5,3,4]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,6,2,1,5,4,3]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,5,3,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,5,3,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,5,4,3,7,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,4,5,3,7,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,4,6,3,7,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,4,3,5,7,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,4,3,6,7,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,5,3,4,6,7,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,4,3,5,6,7,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,3,4,5,6,7,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,6,5,4,3,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,7,5,4,3,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,5,6,4,3,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,5,7,4,3,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,6,7,4,3,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,6,4,5,3,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,7,4,5,3,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,5,4,6,3,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,4,5,6,3,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,5,4,7,3,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,4,5,7,3,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,4,6,7,3,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,5,6,7,3,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,6,5,3,4,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,6,4,3,5,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,6,3,4,5,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,5,4,3,6,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,5,3,4,6,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,3,4,5,6,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,5,4,3,7,8,2,1]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[4,5,6,3,7,8,2,1]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[6,5,3,4,7,8,2,1]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[6,3,4,5,7,8,2,1]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,5,4,7,2,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,6,4,7,2,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,4,5,7,2,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,5,6,7,2,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,5,4,8,2,3,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,5,6,4,8,2,3,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,7,4,2,3,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,8,4,2,3,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,8,4,2,3,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,6,3,2,4,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,6,3,2,4,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,7,3,2,4,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,8,3,2,4,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,6,2,3,4,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,6,2,3,4,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,7,2,3,4,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,8,2,3,4,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,8,2,3,4,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,5,4,3,2,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,5,4,3,2,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,5,3,4,2,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,5,3,4,2,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,4,3,5,2,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,4,3,5,2,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,5,4,2,3,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,5,3,2,4,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,4,3,2,5,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,4,3,2,5,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,3,4,2,5,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,4,2,3,5,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,3,2,4,5,6,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,7,2,3,4,5,6,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,8,2,3,4,5,6,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,6,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,3,4,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,4,3,6,2,7,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,4,5,2,3,7,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,5,3,2,4,7,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,4,3,2,5,7,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,4,2,3,5,7,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,2,3,4,5,7,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,5,4,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,4,5,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,5,3,4,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,3,4,5,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,5,4,2,3,6,7,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,4,5,2,3,6,7,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,5,2,3,4,6,7,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,4,3,2,5,6,7,1]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[8,3,4,2,5,6,7,1]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[8,4,2,3,5,6,7,1]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[8,3,2,4,5,6,7,1]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,7,5,4,3,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,5,6,4,3,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,5,7,4,3,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,6,7,4,3,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,6,4,5,3,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,7,4,5,3,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,4,5,6,3,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,5,4,7,3,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,4,5,7,3,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,5,6,7,3,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,6,5,3,4,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,5,6,3,4,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,5,7,3,4,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,6,7,3,4,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,6,4,3,5,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,6,3,4,5,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,5,4,3,6,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,4,5,3,6,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,5,3,4,6,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,3,4,5,6,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,5,4,3,7,2,8,1]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[6,4,5,3,7,2,8,1]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[5,4,6,3,7,2,8,1]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[4,5,6,3,7,2,8,1]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[6,5,3,4,7,2,8,1]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[5,6,3,4,7,2,8,1]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[6,4,3,5,7,2,8,1]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[6,3,4,5,7,2,8,1]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[5,4,3,6,7,2,8,1]=>[8,6,3,4,5,2,7,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[4,5,3,6,7,2,8,1]=>[8,6,3,4,5,2,7,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[4,3,5,6,7,2,8,1]=>[8,6,3,4,5,2,7,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[3,4,5,6,7,2,8,1]=>[8,6,3,4,5,2,7,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[7,6,5,4,2,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,7,5,4,2,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,5,6,4,2,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,5,7,4,2,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,6,7,4,2,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,6,4,5,2,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,7,4,5,2,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,5,4,6,2,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,4,5,6,2,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,5,4,7,2,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,6,4,7,2,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,4,5,7,2,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,4,6,7,2,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,5,6,7,2,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,6,5,3,2,4,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,7,5,3,2,4,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,5,7,3,2,4,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,6,5,2,3,4,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,5,6,2,3,4,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,6,7,2,3,4,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,7,4,3,2,5,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,6,4,2,3,5,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,6,3,2,4,5,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,7,3,2,4,5,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,6,2,3,4,5,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,7,2,3,4,5,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,5,4,3,2,6,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,4,3,5,2,6,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,5,4,2,3,6,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,4,5,2,3,6,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,5,3,2,4,6,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,5,2,3,4,6,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,4,3,2,5,6,8,1]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[7,4,2,3,5,6,8,1]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[7,3,2,4,5,6,8,1]=>[8,6,3,4,5,2,7,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[7,2,3,4,5,6,8,1]=>[8,6,3,4,5,2,7,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[6,5,4,3,2,7,8,1]=>[8,5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[5,4,6,3,2,7,8,1]=>[8,5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[4,5,6,3,2,7,8,1]=>[8,5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[6,5,3,4,2,7,8,1]=>[8,5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[6,3,4,5,2,7,8,1]=>[8,5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[5,4,3,6,2,7,8,1]=>[8,5,3,4,2,6,7,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]
[4,3,5,6,2,7,8,1]=>[8,5,3,4,2,6,7,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]
[3,4,5,6,2,7,8,1]=>[8,5,3,4,2,6,7,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]
[6,5,4,2,3,7,8,1]=>[8,5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[5,6,4,2,3,7,8,1]=>[8,5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[6,4,5,2,3,7,8,1]=>[8,5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[5,4,6,2,3,7,8,1]=>[8,5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[4,5,6,2,3,7,8,1]=>[8,5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[6,5,3,2,4,7,8,1]=>[8,5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[6,5,2,3,4,7,8,1]=>[8,5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[5,6,2,3,4,7,8,1]=>[8,5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[6,2,3,4,5,7,8,1]=>[8,5,3,4,2,6,7,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]
[4,3,2,5,6,7,8,1]=>[8,3,2,4,5,6,7,1]=>[1,7,6,5,4,2,3,8]=>[.,[[[[[.,[.,.]],.],.],.],[.,.]]]
[3,4,2,5,6,7,8,1]=>[8,3,2,4,5,6,7,1]=>[1,7,6,5,4,2,3,8]=>[.,[[[[[.,[.,.]],.],.],.],[.,.]]]
[4,2,3,5,6,7,8,1]=>[8,3,2,4,5,6,7,1]=>[1,7,6,5,4,2,3,8]=>[.,[[[[[.,[.,.]],.],.],.],[.,.]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,4,6,7,3,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,5,4,8,3,1,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,5,6,4,8,3,1,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,5,3,4,6,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,4,3,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,4,3,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,3,4,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,3,4,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,5,4,3,7,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,4,6,3,7,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,4,3,6,7,1,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,5,3,4,6,7,1,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,4,3,5,6,7,1,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,3,4,5,6,7,1,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,6,5,4,3,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,5,6,4,3,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,5,7,4,3,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,6,7,4,3,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,7,4,5,3,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,5,4,6,3,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,5,4,7,3,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,6,4,7,3,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,4,5,7,3,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,4,6,7,3,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,5,6,7,3,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,6,5,3,4,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,5,6,3,4,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,6,7,3,4,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,6,4,3,5,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,6,3,4,5,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,5,4,3,6,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,4,5,3,6,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,5,3,4,6,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,3,4,5,6,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,5,4,3,7,8,1,2]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[5,6,4,3,7,8,1,2]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[5,4,6,3,7,8,1,2]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[4,5,6,3,7,8,1,2]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[6,5,3,4,7,8,1,2]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[5,6,3,4,7,8,1,2]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[6,4,3,5,7,8,1,2]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[6,3,4,5,7,8,1,2]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,4,5,6,2,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,5,4,7,2,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,4,5,7,2,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,5,6,7,2,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,5,4,8,2,1,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[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]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,5,4,6,8,1,2,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,4,5,6,8,1,2,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,5,4,7,8,1,2,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,6,4,7,8,1,2,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,4,5,7,8,1,2,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,4,6,7,8,1,2,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,5,6,7,8,1,2,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,7,6,5,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
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[8,4,5,2,3,6,1,7]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,5,3,2,4,6,1,7]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,5,2,3,4,6,1,7]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,3,4,2,5,6,1,7]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[8,3,2,4,5,6,1,7]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[8,2,3,4,5,6,1,7]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[8,6,5,4,3,1,2,7]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,4,5,3,1,2,7]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,5,3,4,1,2,7]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,6,3,4,1,2,7]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,3,4,5,1,2,7]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,4,3,6,1,2,7]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,4,5,3,6,1,2,7]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,5,3,4,6,1,2,7]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,4,3,5,6,1,2,7]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,3,4,5,6,1,2,7]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,6,5,4,2,1,3,7]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,6,4,2,1,3,7]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,4,5,2,1,3,7]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,5,6,2,1,3,7]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,5,4,1,2,3,7]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,6,4,1,2,3,7]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,4,5,1,2,3,7]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,5,6,1,2,3,7]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,5,3,2,1,4,7]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,6,3,2,1,4,7]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,5,2,3,1,4,7]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,6,2,3,1,4,7]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,6,3,1,2,4,7]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,5,2,1,3,4,7]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,6,2,1,3,4,7]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,5,1,2,3,4,7]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,5,6,1,2,3,4,7]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,6,4,3,2,1,5,7]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,3,4,2,1,5,7]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,4,2,3,1,5,7]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,3,2,4,1,5,7]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,6,2,3,4,1,5,7]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,6,4,3,1,2,5,7]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,3,4,1,2,5,7]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,4,2,1,3,5,7]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,4,1,2,3,5,7]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,6,3,2,1,4,5,7]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,6,1,2,3,4,5,7]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[8,5,4,3,2,1,6,7]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,4,5,3,2,1,6,7]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,4,3,5,2,1,6,7]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,3,4,5,2,1,6,7]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,4,5,2,3,1,6,7]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,5,2,3,4,1,6,7]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,4,2,3,5,1,6,7]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[8,2,3,4,5,1,6,7]=>[8,6,3,4,5,2,7,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[8,5,3,4,1,2,6,7]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,3,4,5,1,2,6,7]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,5,4,2,1,3,6,7]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,5,4,1,2,3,6,7]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,4,5,1,2,3,6,7]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,5,3,2,1,4,6,7]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,5,3,1,2,4,6,7]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,5,2,1,3,4,6,7]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[8,5,1,2,3,4,6,7]=>[8,6,3,4,5,2,7,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[8,4,3,2,1,5,6,7]=>[8,5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[8,3,4,2,1,5,6,7]=>[8,5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[8,4,2,3,1,5,6,7]=>[8,5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[8,2,3,4,1,5,6,7]=>[8,5,3,4,2,6,7,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]
[8,3,4,1,2,5,6,7]=>[8,5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[8,4,2,1,3,5,6,7]=>[8,5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[8,4,1,2,3,5,6,7]=>[8,5,3,4,2,6,7,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]
[8,2,1,3,4,5,6,7]=>[8,3,2,4,5,6,7,1]=>[1,7,6,5,4,2,3,8]=>[.,[[[[[.,[.,.]],.],.],.],[.,.]]]
[8,1,2,3,4,5,6,7]=>[8,2,3,4,5,6,7,1]=>[1,7,6,5,4,3,2,8]=>[.,[[[[[[.,.],.],.],.],.],[.,.]]]
[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,7,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,5,6,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,5,7,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,6,7,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,6,4,5,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,7,4,5,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,5,4,6,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,4,5,6,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,5,4,7,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,6,4,7,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,4,6,7,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,5,6,7,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,6,5,3,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,7,5,3,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,5,6,3,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,5,7,3,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,6,7,3,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,7,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,6,3,4,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,5,4,3,6,2,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,4,5,3,6,2,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,3,4,5,6,2,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,5,4,3,7,2,1,8]=>[7,6,4,3,5,2,1,8]=>[8,1,2,5,3,4,6,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[5,6,4,3,7,2,1,8]=>[7,6,4,3,5,2,1,8]=>[8,1,2,5,3,4,6,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[5,4,6,3,7,2,1,8]=>[7,6,4,3,5,2,1,8]=>[8,1,2,5,3,4,6,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[5,4,3,6,7,2,1,8]=>[7,6,3,4,5,2,1,8]=>[8,1,2,5,4,3,6,7]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[3,4,5,6,7,2,1,8]=>[7,6,3,4,5,2,1,8]=>[8,1,2,5,4,3,6,7]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[7,6,5,4,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,7,5,4,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,5,6,4,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,6,7,4,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,6,4,5,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,7,4,5,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,5,4,6,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,4,5,6,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,5,4,7,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,6,4,7,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,4,6,7,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,5,6,7,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,6,5,3,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,5,7,3,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,6,7,3,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,6,5,2,3,4,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,7,5,2,3,4,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,5,6,2,3,4,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,5,7,2,3,4,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,6,7,2,3,4,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,6,4,3,2,5,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,7,4,3,2,5,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,7,3,4,2,5,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,6,4,2,3,5,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,7,4,2,3,5,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,6,3,2,4,5,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,7,3,2,4,5,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,6,2,3,4,5,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,7,2,3,4,5,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,5,4,3,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,4,5,3,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,5,3,4,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,4,3,5,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,5,4,2,3,6,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,4,5,2,3,6,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,5,3,2,4,6,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,4,2,3,5,6,1,8]=>[7,6,4,3,5,2,1,8]=>[8,1,2,5,3,4,6,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[7,2,3,4,5,6,1,8]=>[7,6,3,4,5,2,1,8]=>[8,1,2,5,4,3,6,7]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[6,5,4,3,2,7,1,8]=>[7,5,4,3,2,6,1,8]=>[8,1,6,2,3,4,5,7]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[5,6,4,3,2,7,1,8]=>[7,5,4,3,2,6,1,8]=>[8,1,6,2,3,4,5,7]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[5,4,6,3,2,7,1,8]=>[7,5,4,3,2,6,1,8]=>[8,1,6,2,3,4,5,7]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[5,6,3,4,2,7,1,8]=>[7,5,4,3,2,6,1,8]=>[8,1,6,2,3,4,5,7]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[6,3,4,5,2,7,1,8]=>[7,5,4,3,2,6,1,8]=>[8,1,6,2,3,4,5,7]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[5,4,3,6,2,7,1,8]=>[7,5,3,4,2,6,1,8]=>[8,1,6,2,4,3,5,7]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[4,5,3,6,2,7,1,8]=>[7,5,3,4,2,6,1,8]=>[8,1,6,2,4,3,5,7]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[5,3,4,6,2,7,1,8]=>[7,5,3,4,2,6,1,8]=>[8,1,6,2,4,3,5,7]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[4,3,5,6,2,7,1,8]=>[7,5,3,4,2,6,1,8]=>[8,1,6,2,4,3,5,7]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[3,4,5,6,2,7,1,8]=>[7,5,3,4,2,6,1,8]=>[8,1,6,2,4,3,5,7]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[5,4,6,2,3,7,1,8]=>[7,5,4,3,2,6,1,8]=>[8,1,6,2,3,4,5,7]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[6,5,3,2,4,7,1,8]=>[7,5,4,3,2,6,1,8]=>[8,1,6,2,3,4,5,7]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[6,4,2,3,5,7,1,8]=>[7,5,4,3,2,6,1,8]=>[8,1,6,2,3,4,5,7]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[6,3,2,4,5,7,1,8]=>[7,5,3,4,2,6,1,8]=>[8,1,6,2,4,3,5,7]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[6,2,3,4,5,7,1,8]=>[7,5,3,4,2,6,1,8]=>[8,1,6,2,4,3,5,7]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[5,4,3,2,6,7,1,8]=>[7,4,3,2,5,6,1,8]=>[8,1,6,5,2,3,4,7]=>[[.,[[[.,[.,[.,.]]],.],[.,.]]],.]
[3,4,5,2,6,7,1,8]=>[7,4,3,2,5,6,1,8]=>[8,1,6,5,2,3,4,7]=>[[.,[[[.,[.,[.,.]]],.],[.,.]]],.]
[5,4,2,3,6,7,1,8]=>[7,4,3,2,5,6,1,8]=>[8,1,6,5,2,3,4,7]=>[[.,[[[.,[.,[.,.]]],.],[.,.]]],.]
[4,5,2,3,6,7,1,8]=>[7,4,3,2,5,6,1,8]=>[8,1,6,5,2,3,4,7]=>[[.,[[[.,[.,[.,.]]],.],[.,.]]],.]
[5,2,3,4,6,7,1,8]=>[7,4,3,2,5,6,1,8]=>[8,1,6,5,2,3,4,7]=>[[.,[[[.,[.,[.,.]]],.],[.,.]]],.]
[3,2,4,5,6,7,1,8]=>[7,2,3,4,5,6,1,8]=>[8,1,6,5,4,3,2,7]=>[[.,[[[[[.,.],.],.],.],[.,.]]],.]
[2,3,4,5,6,7,1,8]=>[7,2,3,4,5,6,1,8]=>[8,1,6,5,4,3,2,7]=>[[.,[[[[[.,.],.],.],.],[.,.]]],.]
[7,6,5,4,3,1,2,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,7,5,4,3,1,2,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,5,6,4,3,1,2,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,6,4,5,3,1,2,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,4,5,6,3,1,2,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,4,6,7,3,1,2,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,5,6,7,3,1,2,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,6,5,3,4,1,2,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,5,6,3,4,1,2,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,5,7,3,4,1,2,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,7,3,4,5,1,2,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,5,3,4,6,1,2,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,5,4,3,7,1,2,8]=>[7,6,4,3,5,2,1,8]=>[8,1,2,5,3,4,6,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[6,4,5,3,7,1,2,8]=>[7,6,4,3,5,2,1,8]=>[8,1,2,5,3,4,6,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[5,6,3,4,7,1,2,8]=>[7,6,4,3,5,2,1,8]=>[8,1,2,5,3,4,6,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[6,4,3,5,7,1,2,8]=>[7,6,4,3,5,2,1,8]=>[8,1,2,5,3,4,6,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[6,3,4,5,7,1,2,8]=>[7,6,4,3,5,2,1,8]=>[8,1,2,5,3,4,6,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[4,3,5,6,7,1,2,8]=>[7,6,3,4,5,2,1,8]=>[8,1,2,5,4,3,6,7]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[3,4,5,6,7,1,2,8]=>[7,6,3,4,5,2,1,8]=>[8,1,2,5,4,3,6,7]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[7,6,5,4,2,1,3,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,5,7,4,2,1,3,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,6,4,5,2,1,3,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,5,4,6,2,1,3,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,4,5,6,2,1,3,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,4,6,7,2,1,3,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,5,6,7,2,1,3,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,6,5,4,1,2,3,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,5,6,4,1,2,3,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,6,7,4,1,2,3,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,6,4,5,1,2,3,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,5,4,6,1,2,3,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,4,5,6,1,2,3,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,6,4,7,1,2,3,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,4,6,7,1,2,3,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,5,6,7,1,2,3,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,6,5,3,2,1,4,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,6,5,2,3,1,4,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,7,5,2,3,1,4,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,5,6,2,3,1,4,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,5,7,2,3,1,4,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,6,7,2,3,1,4,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,5,6,3,1,2,4,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,6,7,3,1,2,4,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,6,5,2,1,3,4,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,7,5,2,1,3,4,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,5,6,2,1,3,4,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,6,7,2,1,3,4,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,6,5,1,2,3,4,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,7,5,1,2,3,4,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,5,6,1,2,3,4,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,5,7,1,2,3,4,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,6,7,1,2,3,4,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,6,4,3,2,1,5,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,7,4,3,2,1,5,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,6,3,4,2,1,5,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,7,3,4,2,1,5,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,6,4,2,3,1,5,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,7,4,2,3,1,5,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,6,3,2,4,1,5,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,7,3,2,4,1,5,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,6,2,3,4,1,5,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,7,2,3,4,1,5,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
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[7,6,4,2,1,3,5,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,6,3,2,1,4,5,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,7,3,2,1,4,5,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,6,2,3,1,4,5,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,7,2,3,1,4,5,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,7,3,1,2,4,5,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,6,1,2,3,4,5,8]=>[7,6,3,4,5,2,1,8]=>[8,1,2,5,4,3,6,7]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[6,7,1,2,3,4,5,8]=>[7,6,3,4,5,2,1,8]=>[8,1,2,5,4,3,6,7]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[7,5,4,3,2,1,6,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,4,5,3,2,1,6,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,4,3,5,2,1,6,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,3,4,5,2,1,6,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,5,4,2,3,1,6,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,5,3,2,4,1,6,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,5,2,3,4,1,6,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,4,2,3,5,1,6,8]=>[7,6,4,3,5,2,1,8]=>[8,1,2,5,3,4,6,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[7,2,3,4,5,1,6,8]=>[7,6,3,4,5,2,1,8]=>[8,1,2,5,4,3,6,7]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[7,5,4,3,1,2,6,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,5,3,4,1,2,6,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,4,5,2,1,3,6,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,4,5,1,2,3,6,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,5,3,2,1,4,6,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,5,2,3,1,4,6,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,5,3,1,2,4,6,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,5,1,2,3,4,6,8]=>[7,6,3,4,5,2,1,8]=>[8,1,2,5,4,3,6,7]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[7,4,3,2,1,5,6,8]=>[7,5,4,3,2,6,1,8]=>[8,1,6,2,3,4,5,7]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[7,2,3,4,1,5,6,8]=>[7,5,3,4,2,6,1,8]=>[8,1,6,2,4,3,5,7]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[7,4,3,1,2,5,6,8]=>[7,5,4,3,2,6,1,8]=>[8,1,6,2,3,4,5,7]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[7,3,4,1,2,5,6,8]=>[7,5,4,3,2,6,1,8]=>[8,1,6,2,3,4,5,7]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[7,4,1,2,3,5,6,8]=>[7,5,3,4,2,6,1,8]=>[8,1,6,2,4,3,5,7]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[7,3,2,1,4,5,6,8]=>[7,4,3,2,5,6,1,8]=>[8,1,6,5,2,3,4,7]=>[[.,[[[.,[.,[.,.]]],.],[.,.]]],.]
[7,2,3,1,4,5,6,8]=>[7,4,3,2,5,6,1,8]=>[8,1,6,5,2,3,4,7]=>[[.,[[[.,[.,[.,.]]],.],[.,.]]],.]
[7,3,1,2,4,5,6,8]=>[7,4,3,2,5,6,1,8]=>[8,1,6,5,2,3,4,7]=>[[.,[[[.,[.,[.,.]]],.],[.,.]]],.]
[7,1,2,3,4,5,6,8]=>[7,2,3,4,5,6,1,8]=>[8,1,6,5,4,3,2,7]=>[[.,[[[[[.,.],.],.],.],[.,.]]],.]
[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[8,7,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[5,6,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[8,7,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[5,4,6,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[8,7,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[4,5,6,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[8,7,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[6,5,3,4,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[8,7,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[5,6,3,4,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[8,7,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[6,3,4,5,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[8,7,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[5,4,3,6,2,1,7,8]=>[6,5,3,4,2,1,7,8]=>[8,7,1,2,4,3,5,6]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[3,4,5,6,2,1,7,8]=>[6,5,3,4,2,1,7,8]=>[8,7,1,2,4,3,5,6]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[5,4,6,2,3,1,7,8]=>[6,5,4,3,2,1,7,8]=>[8,7,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[5,6,3,2,4,1,7,8]=>[6,5,4,3,2,1,7,8]=>[8,7,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[6,5,2,3,4,1,7,8]=>[6,5,4,3,2,1,7,8]=>[8,7,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[5,6,2,3,4,1,7,8]=>[6,5,4,3,2,1,7,8]=>[8,7,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[6,4,3,2,5,1,7,8]=>[6,5,4,3,2,1,7,8]=>[8,7,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[6,2,3,4,5,1,7,8]=>[6,5,3,4,2,1,7,8]=>[8,7,1,2,4,3,5,6]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[5,4,3,2,6,1,7,8]=>[6,4,3,2,5,1,7,8]=>[8,7,1,5,2,3,4,6]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[4,5,3,2,6,1,7,8]=>[6,4,3,2,5,1,7,8]=>[8,7,1,5,2,3,4,6]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[4,3,5,2,6,1,7,8]=>[6,4,3,2,5,1,7,8]=>[8,7,1,5,2,3,4,6]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[3,4,5,2,6,1,7,8]=>[6,4,3,2,5,1,7,8]=>[8,7,1,5,2,3,4,6]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[5,3,2,4,6,1,7,8]=>[6,4,3,2,5,1,7,8]=>[8,7,1,5,2,3,4,6]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[5,2,3,4,6,1,7,8]=>[6,4,3,2,5,1,7,8]=>[8,7,1,5,2,3,4,6]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[4,3,2,5,6,1,7,8]=>[6,3,2,4,5,1,7,8]=>[8,7,1,5,4,2,3,6]=>[[[.,[[[.,[.,.]],.],[.,.]]],.],.]
[3,4,2,5,6,1,7,8]=>[6,3,2,4,5,1,7,8]=>[8,7,1,5,4,2,3,6]=>[[[.,[[[.,[.,.]],.],[.,.]]],.],.]
[4,2,3,5,6,1,7,8]=>[6,3,2,4,5,1,7,8]=>[8,7,1,5,4,2,3,6]=>[[[.,[[[.,[.,.]],.],[.,.]]],.],.]
[6,5,4,3,1,2,7,8]=>[6,5,4,3,2,1,7,8]=>[8,7,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[5,6,4,3,1,2,7,8]=>[6,5,4,3,2,1,7,8]=>[8,7,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[6,4,5,3,1,2,7,8]=>[6,5,4,3,2,1,7,8]=>[8,7,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[5,4,6,3,1,2,7,8]=>[6,5,4,3,2,1,7,8]=>[8,7,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[5,6,3,4,1,2,7,8]=>[6,5,4,3,2,1,7,8]=>[8,7,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[6,4,3,5,1,2,7,8]=>[6,5,4,3,2,1,7,8]=>[8,7,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[5,4,3,6,1,2,7,8]=>[6,5,3,4,2,1,7,8]=>[8,7,1,2,4,3,5,6]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[4,3,5,6,1,2,7,8]=>[6,5,3,4,2,1,7,8]=>[8,7,1,2,4,3,5,6]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[3,4,5,6,1,2,7,8]=>[6,5,3,4,2,1,7,8]=>[8,7,1,2,4,3,5,6]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[6,5,4,2,1,3,7,8]=>[6,5,4,3,2,1,7,8]=>[8,7,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[5,6,4,2,1,3,7,8]=>[6,5,4,3,2,1,7,8]=>[8,7,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[6,4,5,2,1,3,7,8]=>[6,5,4,3,2,1,7,8]=>[8,7,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[5,4,6,2,1,3,7,8]=>[6,5,4,3,2,1,7,8]=>[8,7,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[4,5,6,2,1,3,7,8]=>[6,5,4,3,2,1,7,8]=>[8,7,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[6,5,4,1,2,3,7,8]=>[6,5,4,3,2,1,7,8]=>[8,7,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[4,5,6,1,2,3,7,8]=>[6,5,4,3,2,1,7,8]=>[8,7,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[6,5,3,2,1,4,7,8]=>[6,5,4,3,2,1,7,8]=>[8,7,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[5,6,3,2,1,4,7,8]=>[6,5,4,3,2,1,7,8]=>[8,7,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[5,6,2,1,3,4,7,8]=>[6,5,4,3,2,1,7,8]=>[8,7,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[6,5,1,2,3,4,7,8]=>[6,5,3,4,2,1,7,8]=>[8,7,1,2,4,3,5,6]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[5,6,1,2,3,4,7,8]=>[6,5,3,4,2,1,7,8]=>[8,7,1,2,4,3,5,6]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[6,4,3,2,1,5,7,8]=>[6,5,4,3,2,1,7,8]=>[8,7,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[6,3,4,2,1,5,7,8]=>[6,5,4,3,2,1,7,8]=>[8,7,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[6,4,3,1,2,5,7,8]=>[6,5,4,3,2,1,7,8]=>[8,7,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[6,4,2,1,3,5,7,8]=>[6,5,4,3,2,1,7,8]=>[8,7,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[6,4,1,2,3,5,7,8]=>[6,5,3,4,2,1,7,8]=>[8,7,1,2,4,3,5,6]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[6,3,2,1,4,5,7,8]=>[6,4,3,2,5,1,7,8]=>[8,7,1,5,2,3,4,6]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[6,2,3,1,4,5,7,8]=>[6,4,3,2,5,1,7,8]=>[8,7,1,5,2,3,4,6]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[6,3,1,2,4,5,7,8]=>[6,4,3,2,5,1,7,8]=>[8,7,1,5,2,3,4,6]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[6,2,1,3,4,5,7,8]=>[6,3,2,4,5,1,7,8]=>[8,7,1,5,4,2,3,6]=>[[[.,[[[.,[.,.]],.],[.,.]]],.],.]
[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[8,7,6,1,2,3,4,5]=>[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]
[4,5,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[8,7,6,1,2,3,4,5]=>[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]
[5,3,4,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[8,7,6,1,2,3,4,5]=>[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]
[4,3,5,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[8,7,6,1,2,3,4,5]=>[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]
[3,4,5,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[8,7,6,1,2,3,4,5]=>[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]
[5,4,2,3,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[8,7,6,1,2,3,4,5]=>[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]
[4,5,2,3,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[8,7,6,1,2,3,4,5]=>[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]
[5,3,2,4,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[8,7,6,1,2,3,4,5]=>[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]
[5,2,3,4,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[8,7,6,1,2,3,4,5]=>[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]
[4,3,2,5,1,6,7,8]=>[5,3,2,4,1,6,7,8]=>[8,7,6,1,4,2,3,5]=>[[[[.,[[.,[.,.]],[.,.]]],.],.],.]
[3,4,2,5,1,6,7,8]=>[5,3,2,4,1,6,7,8]=>[8,7,6,1,4,2,3,5]=>[[[[.,[[.,[.,.]],[.,.]]],.],.],.]
[4,2,3,5,1,6,7,8]=>[5,3,2,4,1,6,7,8]=>[8,7,6,1,4,2,3,5]=>[[[[.,[[.,[.,.]],[.,.]]],.],.],.]
[3,2,4,5,1,6,7,8]=>[5,2,3,4,1,6,7,8]=>[8,7,6,1,4,3,2,5]=>[[[[.,[[[.,.],.],[.,.]]],.],.],.]
[2,3,4,5,1,6,7,8]=>[5,2,3,4,1,6,7,8]=>[8,7,6,1,4,3,2,5]=>[[[[.,[[[.,.],.],[.,.]]],.],.],.]
[5,4,3,1,2,6,7,8]=>[5,4,3,2,1,6,7,8]=>[8,7,6,1,2,3,4,5]=>[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]
[5,3,4,1,2,6,7,8]=>[5,4,3,2,1,6,7,8]=>[8,7,6,1,2,3,4,5]=>[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]
[4,3,5,1,2,6,7,8]=>[5,4,3,2,1,6,7,8]=>[8,7,6,1,2,3,4,5]=>[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]
[3,4,5,1,2,6,7,8]=>[5,4,3,2,1,6,7,8]=>[8,7,6,1,2,3,4,5]=>[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]
[5,4,2,1,3,6,7,8]=>[5,4,3,2,1,6,7,8]=>[8,7,6,1,2,3,4,5]=>[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]
[4,5,2,1,3,6,7,8]=>[5,4,3,2,1,6,7,8]=>[8,7,6,1,2,3,4,5]=>[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]
[5,4,1,2,3,6,7,8]=>[5,4,3,2,1,6,7,8]=>[8,7,6,1,2,3,4,5]=>[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]
[4,5,1,2,3,6,7,8]=>[5,4,3,2,1,6,7,8]=>[8,7,6,1,2,3,4,5]=>[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]
[5,3,2,1,4,6,7,8]=>[5,4,3,2,1,6,7,8]=>[8,7,6,1,2,3,4,5]=>[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]
[5,2,3,1,4,6,7,8]=>[5,4,3,2,1,6,7,8]=>[8,7,6,1,2,3,4,5]=>[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]
[5,3,1,2,4,6,7,8]=>[5,4,3,2,1,6,7,8]=>[8,7,6,1,2,3,4,5]=>[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]
[5,2,1,3,4,6,7,8]=>[5,3,2,4,1,6,7,8]=>[8,7,6,1,4,2,3,5]=>[[[[.,[[.,[.,.]],[.,.]]],.],.],.]
[5,1,2,3,4,6,7,8]=>[5,2,3,4,1,6,7,8]=>[8,7,6,1,4,3,2,5]=>[[[[.,[[[.,.],.],[.,.]]],.],.],.]
[4,3,2,1,5,6,7,8]=>[4,3,2,1,5,6,7,8]=>[8,7,6,5,1,2,3,4]=>[[[[[.,[.,[.,[.,.]]]],.],.],.],.]
[3,4,2,1,5,6,7,8]=>[4,3,2,1,5,6,7,8]=>[8,7,6,5,1,2,3,4]=>[[[[[.,[.,[.,[.,.]]]],.],.],.],.]
[4,2,3,1,5,6,7,8]=>[4,3,2,1,5,6,7,8]=>[8,7,6,5,1,2,3,4]=>[[[[[.,[.,[.,[.,.]]]],.],.],.],.]
[3,2,4,1,5,6,7,8]=>[4,2,3,1,5,6,7,8]=>[8,7,6,5,1,3,2,4]=>[[[[[.,[[.,.],[.,.]]],.],.],.],.]
[2,3,4,1,5,6,7,8]=>[4,2,3,1,5,6,7,8]=>[8,7,6,5,1,3,2,4]=>[[[[[.,[[.,.],[.,.]]],.],.],.],.]
[4,3,1,2,5,6,7,8]=>[4,3,2,1,5,6,7,8]=>[8,7,6,5,1,2,3,4]=>[[[[[.,[.,[.,[.,.]]]],.],.],.],.]
[3,4,1,2,5,6,7,8]=>[4,3,2,1,5,6,7,8]=>[8,7,6,5,1,2,3,4]=>[[[[[.,[.,[.,[.,.]]]],.],.],.],.]
[4,2,1,3,5,6,7,8]=>[4,3,2,1,5,6,7,8]=>[8,7,6,5,1,2,3,4]=>[[[[[.,[.,[.,[.,.]]]],.],.],.],.]
[4,1,2,3,5,6,7,8]=>[4,2,3,1,5,6,7,8]=>[8,7,6,5,1,3,2,4]=>[[[[[.,[[.,.],[.,.]]],.],.],.],.]
[3,2,1,4,5,6,7,8]=>[3,2,1,4,5,6,7,8]=>[8,7,6,5,4,1,2,3]=>[[[[[[.,[.,[.,.]]],.],.],.],.],.]
[2,3,1,4,5,6,7,8]=>[3,2,1,4,5,6,7,8]=>[8,7,6,5,4,1,2,3]=>[[[[[[.,[.,[.,.]]],.],.],.],.],.]
[3,1,2,4,5,6,7,8]=>[3,2,1,4,5,6,7,8]=>[8,7,6,5,4,1,2,3]=>[[[[[[.,[.,[.,.]]],.],.],.],.],.]
[2,1,3,4,5,6,7,8]=>[2,1,3,4,5,6,7,8]=>[8,7,6,5,4,3,1,2]=>[[[[[[[.,[.,.]],.],.],.],.],.],.]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,4,3,7,8,6,2,1]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,5,3,7,8,6,2,1]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,5,4,7,8,6,2,1]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,3,5,7,8,6,2,1]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,4,5,8,7,6,2,1]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,4,5,7,8,6,2,1]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[4,5,3,6,8,7,2,1]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[4,3,5,6,8,7,2,1]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[3,4,5,6,8,7,2,1]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[5,7,6,4,3,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,7,6,5,3,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,4,7,6,3,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,7,6,5,4,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,5,7,6,4,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,5,6,7,4,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,3,7,6,5,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,4,7,6,5,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,4,6,7,5,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[3,5,6,4,7,8,2,1]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[4,3,6,5,7,8,2,1]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[3,4,6,5,7,8,2,1]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,5,4,7,8,6,3,1]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,4,5,7,8,6,3,1]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[2,7,6,5,4,8,3,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,6,7,5,4,8,3,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,5,6,7,4,8,3,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,4,7,6,5,8,3,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,4,6,7,5,8,3,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[2,5,6,4,7,8,3,1]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[2,4,6,5,7,8,3,1]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,2,7,8,6,5,4,1]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,2,6,8,7,5,4,1]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,2,5,7,8,6,4,1]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,2,6,5,8,7,4,1]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[3,2,6,7,5,8,4,1]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[3,2,5,7,6,8,4,1]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[3,2,5,6,7,8,4,1]=>[8,2,7,4,5,6,3,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[2,3,8,7,6,5,4,1]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,3,6,7,8,5,4,1]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,3,5,8,7,6,4,1]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,3,5,7,8,6,4,1]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,3,6,5,8,7,4,1]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[2,3,5,6,8,7,4,1]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[2,3,7,6,5,8,4,1]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[2,3,5,7,6,8,4,1]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[2,3,5,6,7,8,4,1]=>[8,2,7,4,5,6,3,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[4,3,2,8,7,6,5,1]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[4,3,2,7,8,6,5,1]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[4,3,2,6,8,7,5,1]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[3,4,2,8,7,6,5,1]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[3,4,2,7,8,6,5,1]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[2,4,3,8,7,6,5,1]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[2,4,3,6,8,7,5,1]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[2,4,3,6,7,8,5,1]=>[8,3,2,7,5,6,4,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[3,2,4,8,7,6,5,1]=>[8,2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[3,2,4,7,8,6,5,1]=>[8,2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[2,3,4,8,7,6,5,1]=>[8,2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[2,3,4,7,8,6,5,1]=>[8,2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[2,3,4,6,8,7,5,1]=>[8,2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[2,3,4,7,6,8,5,1]=>[8,2,3,7,5,6,4,1]=>[1,4,6,5,7,3,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[2,3,4,6,7,8,5,1]=>[8,2,3,7,5,6,4,1]=>[1,4,6,5,7,3,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[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]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[2,3,5,4,8,7,6,1]=>[8,2,4,3,7,6,5,1]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[2,3,5,4,7,8,6,1]=>[8,2,4,3,7,6,5,1]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[4,3,2,5,8,7,6,1]=>[8,3,2,4,7,6,5,1]=>[1,5,6,7,4,2,3,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[4,3,2,5,7,8,6,1]=>[8,3,2,4,7,6,5,1]=>[1,5,6,7,4,2,3,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[3,4,2,5,8,7,6,1]=>[8,3,2,4,7,6,5,1]=>[1,5,6,7,4,2,3,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[3,4,2,5,7,8,6,1]=>[8,3,2,4,7,6,5,1]=>[1,5,6,7,4,2,3,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[2,4,3,5,8,7,6,1]=>[8,3,2,4,7,6,5,1]=>[1,5,6,7,4,2,3,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[3,2,4,5,7,8,6,1]=>[8,2,3,4,7,6,5,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[2,3,4,5,8,7,6,1]=>[8,2,3,4,7,6,5,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[2,3,4,5,7,8,6,1]=>[8,2,3,4,7,6,5,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[6,5,4,3,2,8,7,1]=>[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[4,6,5,3,2,8,7,1]=>[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[5,4,6,3,2,8,7,1]=>[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[4,5,6,3,2,8,7,1]=>[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[3,6,5,4,2,8,7,1]=>[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[3,5,6,4,2,8,7,1]=>[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[4,3,6,5,2,8,7,1]=>[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[2,6,5,4,3,8,7,1]=>[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[2,4,6,5,3,8,7,1]=>[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[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]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[3,2,4,6,5,8,7,1]=>[8,2,3,5,4,7,6,1]=>[1,6,7,4,5,3,2,8]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[2,3,4,6,5,8,7,1]=>[8,2,3,5,4,7,6,1]=>[1,6,7,4,5,3,2,8]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[3,2,4,5,6,8,7,1]=>[8,2,3,4,5,7,6,1]=>[1,6,7,5,4,3,2,8]=>[.,[[[[[.,.],.],.],.],[.,[.,.]]]]
[2,3,4,5,6,8,7,1]=>[8,2,3,4,5,7,6,1]=>[1,6,7,5,4,3,2,8]=>[.,[[[[[.,.],.],.],.],[.,[.,.]]]]
[5,7,6,4,3,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,7,6,5,3,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,6,7,5,3,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,6,5,7,3,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,5,7,6,4,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,5,6,7,4,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,3,7,6,5,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,3,6,7,5,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,4,7,6,5,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,4,6,7,5,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,4,3,7,6,2,8,1]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[4,5,3,7,6,2,8,1]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[3,5,4,7,6,2,8,1]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[3,4,5,7,6,2,8,1]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[4,6,5,3,7,2,8,1]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[3,6,5,4,7,2,8,1]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[3,5,6,4,7,2,8,1]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[4,3,6,5,7,2,8,1]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[3,4,6,5,7,2,8,1]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[3,5,4,6,7,2,8,1]=>[8,6,3,4,5,2,7,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[2,7,6,5,4,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[2,6,5,7,4,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[2,5,6,7,4,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[2,4,6,7,5,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[2,5,4,7,6,3,8,1]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[2,4,6,5,7,3,8,1]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[2,5,4,6,7,3,8,1]=>[8,6,3,4,5,2,7,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[2,4,5,6,7,3,8,1]=>[8,6,3,4,5,2,7,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[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]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[5,4,3,2,7,6,8,1]=>[8,4,3,2,6,5,7,1]=>[1,7,5,6,2,3,4,8]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[3,5,4,2,7,6,8,1]=>[8,4,3,2,6,5,7,1]=>[1,7,5,6,2,3,4,8]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[4,3,5,2,7,6,8,1]=>[8,4,3,2,6,5,7,1]=>[1,7,5,6,2,3,4,8]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[3,4,5,2,7,6,8,1]=>[8,4,3,2,6,5,7,1]=>[1,7,5,6,2,3,4,8]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[2,5,4,3,7,6,8,1]=>[8,4,3,2,6,5,7,1]=>[1,7,5,6,2,3,4,8]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[3,2,4,5,7,6,8,1]=>[8,2,3,4,6,5,7,1]=>[1,7,5,6,4,3,2,8]=>[.,[[[[[.,.],.],.],[.,.]],[.,.]]]
[2,3,4,5,7,6,8,1]=>[8,2,3,4,6,5,7,1]=>[1,7,5,6,4,3,2,8]=>[.,[[[[[.,.],.],.],[.,.]],[.,.]]]
[3,6,5,4,2,7,8,1]=>[8,5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[3,5,6,4,2,7,8,1]=>[8,5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[3,4,6,5,2,7,8,1]=>[8,5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[3,5,4,6,2,7,8,1]=>[8,5,3,4,2,6,7,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]
[2,6,5,4,3,7,8,1]=>[8,5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[2,5,6,4,3,7,8,1]=>[8,5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[2,4,6,5,3,7,8,1]=>[8,5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[2,5,4,6,3,7,8,1]=>[8,5,3,4,2,6,7,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]
[2,4,5,6,3,7,8,1]=>[8,5,3,4,2,6,7,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]
[3,2,5,6,4,7,8,1]=>[8,2,5,4,3,6,7,1]=>[1,7,6,3,4,5,2,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[2,3,6,5,4,7,8,1]=>[8,2,5,4,3,6,7,1]=>[1,7,6,3,4,5,2,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[2,3,5,6,4,7,8,1]=>[8,2,5,4,3,6,7,1]=>[1,7,6,3,4,5,2,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[2,3,4,6,5,7,8,1]=>[8,2,3,5,4,6,7,1]=>[1,7,6,4,5,3,2,8]=>[.,[[[[[.,.],.],[.,.]],.],[.,.]]]
[2,4,3,5,6,7,8,1]=>[8,3,2,4,5,6,7,1]=>[1,7,6,5,4,2,3,8]=>[.,[[[[[.,[.,.]],.],.],.],[.,.]]]
[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,7,8,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,6,8,7,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,7,6,8,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,6,7,8,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,5,8,7,6,4,3,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,6,5,8,7,4,3,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,7,6,5,8,4,3,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,6,7,5,8,4,3,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,5,7,6,8,4,3,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,6,5,7,8,4,3,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,5,6,7,8,4,3,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,4,8,7,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,4,7,8,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,4,6,8,7,5,3,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,4,6,7,8,5,3,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,5,4,7,8,6,3,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,4,5,8,7,6,3,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,4,5,7,8,6,3,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,6,5,4,8,7,3,2]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,4,6,5,8,7,3,2]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,5,4,6,8,7,3,2]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,7,6,5,4,8,3,2]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,4,7,6,5,8,3,2]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,4,6,7,5,8,3,2]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,6,5,4,7,8,3,2]=>[1,8,7,4,5,6,3,2]=>[2,3,6,5,4,7,8,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[1,5,6,4,7,8,3,2]=>[1,8,7,4,5,6,3,2]=>[2,3,6,5,4,7,8,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[1,5,4,6,7,8,3,2]=>[1,8,7,4,5,6,3,2]=>[2,3,6,5,4,7,8,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[1,4,5,6,7,8,3,2]=>[1,8,7,4,5,6,3,2]=>[2,3,6,5,4,7,8,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[1,3,8,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,3,7,8,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,3,6,8,7,5,4,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,3,6,7,8,5,4,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,3,5,8,7,6,4,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,3,5,7,8,6,4,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,3,5,6,8,7,4,2]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,3,6,7,5,8,4,2]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,3,5,7,6,8,4,2]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,3,6,5,7,8,4,2]=>[1,8,7,4,5,6,3,2]=>[2,3,6,5,4,7,8,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[1,3,5,6,7,8,4,2]=>[1,8,7,4,5,6,3,2]=>[2,3,6,5,4,7,8,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[1,4,3,8,7,6,5,2]=>[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,4,3,7,8,6,5,2]=>[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,4,3,6,8,7,5,2]=>[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,4,3,7,6,8,5,2]=>[1,8,3,7,5,6,4,2]=>[2,4,6,5,7,3,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,4,3,6,7,8,5,2]=>[1,8,3,7,5,6,4,2]=>[2,4,6,5,7,3,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,3,4,8,7,6,5,2]=>[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,3,4,7,6,8,5,2]=>[1,8,3,7,5,6,4,2]=>[2,4,6,5,7,3,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,3,4,6,7,8,5,2]=>[1,8,3,7,5,6,4,2]=>[2,4,6,5,7,3,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,4,3,5,8,7,6,2]=>[1,8,3,4,7,6,5,2]=>[2,5,6,7,4,3,8,1]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[1,4,3,5,7,8,6,2]=>[1,8,3,4,7,6,5,2]=>[2,5,6,7,4,3,8,1]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[1,3,4,5,8,7,6,2]=>[1,8,3,4,7,6,5,2]=>[2,5,6,7,4,3,8,1]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[1,3,4,5,7,8,6,2]=>[1,8,3,4,7,6,5,2]=>[2,5,6,7,4,3,8,1]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[1,5,4,3,6,8,7,2]=>[1,8,4,3,5,7,6,2]=>[2,6,7,5,3,4,8,1]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]
[1,4,5,3,6,8,7,2]=>[1,8,4,3,5,7,6,2]=>[2,6,7,5,3,4,8,1]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]
[1,5,6,4,7,3,8,2]=>[1,8,6,4,5,3,7,2]=>[2,7,3,5,4,6,8,1]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[1,4,6,5,7,3,8,2]=>[1,8,6,4,5,3,7,2]=>[2,7,3,5,4,6,8,1]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[1,5,4,6,7,3,8,2]=>[1,8,6,4,5,3,7,2]=>[2,7,3,5,4,6,8,1]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[1,4,5,6,7,3,8,2]=>[1,8,6,4,5,3,7,2]=>[2,7,3,5,4,6,8,1]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[1,3,6,5,7,4,8,2]=>[1,8,6,4,5,3,7,2]=>[2,7,3,5,4,6,8,1]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[1,3,5,6,7,4,8,2]=>[1,8,6,4,5,3,7,2]=>[2,7,3,5,4,6,8,1]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[1,4,3,6,7,5,8,2]=>[1,8,3,6,5,4,7,2]=>[2,7,4,5,6,3,8,1]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[1,3,4,7,6,5,8,2]=>[1,8,3,6,5,4,7,2]=>[2,7,4,5,6,3,8,1]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[1,3,4,6,7,5,8,2]=>[1,8,3,6,5,4,7,2]=>[2,7,4,5,6,3,8,1]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[1,3,4,5,7,6,8,2]=>[1,8,3,4,6,5,7,2]=>[2,7,5,6,4,3,8,1]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]
[1,6,5,4,3,7,8,2]=>[1,8,5,4,3,6,7,2]=>[2,7,6,3,4,5,8,1]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[1,5,4,6,3,7,8,2]=>[1,8,5,4,3,6,7,2]=>[2,7,6,3,4,5,8,1]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[1,3,5,6,4,7,8,2]=>[1,8,5,4,3,6,7,2]=>[2,7,6,3,4,5,8,1]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[1,4,3,6,5,7,8,2]=>[1,8,3,5,4,6,7,2]=>[2,7,6,4,5,3,8,1]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]
[1,3,4,6,5,7,8,2]=>[1,8,3,5,4,6,7,2]=>[2,7,6,4,5,3,8,1]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]
[1,5,4,3,6,7,8,2]=>[1,8,4,3,5,6,7,2]=>[2,7,6,5,3,4,8,1]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]
[1,4,5,3,6,7,8,2]=>[1,8,4,3,5,6,7,2]=>[2,7,6,5,3,4,8,1]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]
[1,3,5,4,6,7,8,2]=>[1,8,4,3,5,6,7,2]=>[2,7,6,5,3,4,8,1]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]
[1,4,3,5,6,7,8,2]=>[1,8,3,4,5,6,7,2]=>[2,7,6,5,4,3,8,1]=>[[.,.],[[[[[.,.],.],.],.],[.,.]]]
[1,3,4,5,6,7,8,2]=>[1,8,3,4,5,6,7,2]=>[2,7,6,5,4,3,8,1]=>[[.,.],[[[[[.,.],.],.],.],[.,.]]]
[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,7,8,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,6,8,7,5,4,3]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,7,6,8,5,4,3]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,6,7,8,5,4,3]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,5,8,7,6,4,3]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,5,7,8,6,4,3]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,6,5,8,7,4,3]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,5,6,8,7,4,3]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,7,6,5,8,4,3]=>[2,1,8,7,5,6,4,3]=>[3,4,6,5,7,8,1,2]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[2,1,6,7,5,8,4,3]=>[2,1,8,7,5,6,4,3]=>[3,4,6,5,7,8,1,2]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[2,1,5,7,6,8,4,3]=>[2,1,8,7,5,6,4,3]=>[3,4,6,5,7,8,1,2]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[2,1,6,5,7,8,4,3]=>[2,1,8,7,5,6,4,3]=>[3,4,6,5,7,8,1,2]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[2,1,5,6,7,8,4,3]=>[2,1,8,7,5,6,4,3]=>[3,4,6,5,7,8,1,2]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[2,1,4,8,7,6,5,3]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,4,7,8,6,5,3]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,4,6,8,7,5,3]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,4,7,6,8,5,3]=>[2,1,8,7,5,6,4,3]=>[3,4,6,5,7,8,1,2]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[2,1,4,6,7,8,5,3]=>[2,1,8,7,5,6,4,3]=>[3,4,6,5,7,8,1,2]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[2,1,6,5,4,8,7,3]=>[2,1,8,5,4,7,6,3]=>[3,6,7,4,5,8,1,2]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[2,1,5,6,4,8,7,3]=>[2,1,8,5,4,7,6,3]=>[3,6,7,4,5,8,1,2]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[2,1,4,6,5,8,7,3]=>[2,1,8,5,4,7,6,3]=>[3,6,7,4,5,8,1,2]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[2,1,5,4,6,8,7,3]=>[2,1,8,4,5,7,6,3]=>[3,6,7,5,4,8,1,2]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]
[2,1,4,5,6,8,7,3]=>[2,1,8,4,5,7,6,3]=>[3,6,7,5,4,8,1,2]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]
[2,1,7,6,5,4,8,3]=>[2,1,8,6,5,4,7,3]=>[3,7,4,5,6,8,1,2]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[2,1,6,7,5,4,8,3]=>[2,1,8,6,5,4,7,3]=>[3,7,4,5,6,8,1,2]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[2,1,5,7,6,4,8,3]=>[2,1,8,6,5,4,7,3]=>[3,7,4,5,6,8,1,2]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[2,1,6,5,7,4,8,3]=>[2,1,8,6,5,4,7,3]=>[3,7,4,5,6,8,1,2]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[2,1,5,6,7,4,8,3]=>[2,1,8,6,5,4,7,3]=>[3,7,4,5,6,8,1,2]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[2,1,4,7,6,5,8,3]=>[2,1,8,6,5,4,7,3]=>[3,7,4,5,6,8,1,2]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[2,1,4,6,7,5,8,3]=>[2,1,8,6,5,4,7,3]=>[3,7,4,5,6,8,1,2]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[2,1,5,4,7,6,8,3]=>[2,1,8,4,6,5,7,3]=>[3,7,5,6,4,8,1,2]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[1,2,8,7,6,5,4,3]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,2,7,8,6,5,4,3]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,2,7,6,8,5,4,3]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,2,6,7,8,5,4,3]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,2,5,8,7,6,4,3]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,2,6,5,8,7,4,3]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,2,5,6,8,7,4,3]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,2,7,6,5,8,4,3]=>[1,2,8,7,5,6,4,3]=>[3,4,6,5,7,8,2,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[1,2,5,7,6,8,4,3]=>[1,2,8,7,5,6,4,3]=>[3,4,6,5,7,8,2,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[1,2,6,5,7,8,4,3]=>[1,2,8,7,5,6,4,3]=>[3,4,6,5,7,8,2,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[1,2,5,6,7,8,4,3]=>[1,2,8,7,5,6,4,3]=>[3,4,6,5,7,8,2,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[1,2,4,8,7,6,5,3]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,2,4,7,8,6,5,3]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,2,4,6,8,7,5,3]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,2,4,7,6,8,5,3]=>[1,2,8,7,5,6,4,3]=>[3,4,6,5,7,8,2,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[1,2,4,6,7,8,5,3]=>[1,2,8,7,5,6,4,3]=>[3,4,6,5,7,8,2,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[1,2,5,4,8,7,6,3]=>[1,2,8,4,7,6,5,3]=>[3,5,6,7,4,8,2,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[1,2,5,4,7,8,6,3]=>[1,2,8,4,7,6,5,3]=>[3,5,6,7,4,8,2,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[1,2,4,5,8,7,6,3]=>[1,2,8,4,7,6,5,3]=>[3,5,6,7,4,8,2,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[1,2,4,5,7,8,6,3]=>[1,2,8,4,7,6,5,3]=>[3,5,6,7,4,8,2,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[1,2,6,5,4,8,7,3]=>[1,2,8,5,4,7,6,3]=>[3,6,7,4,5,8,2,1]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]
[1,2,4,6,5,8,7,3]=>[1,2,8,5,4,7,6,3]=>[3,6,7,4,5,8,2,1]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]
[1,2,6,5,4,7,8,3]=>[1,2,8,5,4,6,7,3]=>[3,7,6,4,5,8,2,1]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]
[1,2,5,6,4,7,8,3]=>[1,2,8,5,4,6,7,3]=>[3,7,6,4,5,8,2,1]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]
[1,2,4,6,5,7,8,3]=>[1,2,8,5,4,6,7,3]=>[3,7,6,4,5,8,2,1]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]
[1,2,5,4,6,7,8,3]=>[1,2,8,4,5,6,7,3]=>[3,7,6,5,4,8,2,1]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]
[1,2,4,5,6,7,8,3]=>[1,2,8,4,5,6,7,3]=>[3,7,6,5,4,8,2,1]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]
[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[3,2,1,7,8,6,5,4]=>[3,2,1,8,7,6,5,4]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[3,2,1,6,8,7,5,4]=>[3,2,1,8,7,6,5,4]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[3,2,1,7,6,8,5,4]=>[3,2,1,8,7,6,5,4]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[3,2,1,6,7,8,5,4]=>[3,2,1,8,7,6,5,4]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[3,2,1,5,8,7,6,4]=>[3,2,1,8,7,6,5,4]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[3,2,1,5,7,8,6,4]=>[3,2,1,8,7,6,5,4]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[3,2,1,6,5,8,7,4]=>[3,2,1,8,5,7,6,4]=>[4,6,7,5,8,1,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[3,2,1,5,6,8,7,4]=>[3,2,1,8,5,7,6,4]=>[4,6,7,5,8,1,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[3,2,1,7,6,5,8,4]=>[3,2,1,8,6,5,7,4]=>[4,7,5,6,8,1,2,3]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[3,2,1,6,7,5,8,4]=>[3,2,1,8,6,5,7,4]=>[4,7,5,6,8,1,2,3]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[3,2,1,5,7,6,8,4]=>[3,2,1,8,6,5,7,4]=>[4,7,5,6,8,1,2,3]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[3,2,1,6,5,7,8,4]=>[3,2,1,8,5,6,7,4]=>[4,7,6,5,8,1,2,3]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[3,2,1,5,6,7,8,4]=>[3,2,1,8,5,6,7,4]=>[4,7,6,5,8,1,2,3]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[2,3,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[2,3,1,7,8,6,5,4]=>[3,2,1,8,7,6,5,4]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[2,3,1,6,8,7,5,4]=>[3,2,1,8,7,6,5,4]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[2,3,1,7,6,8,5,4]=>[3,2,1,8,7,6,5,4]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[2,3,1,6,7,8,5,4]=>[3,2,1,8,7,6,5,4]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[2,3,1,5,7,8,6,4]=>[3,2,1,8,7,6,5,4]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[2,3,1,6,5,8,7,4]=>[3,2,1,8,5,7,6,4]=>[4,6,7,5,8,1,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[2,3,1,7,6,5,8,4]=>[3,2,1,8,6,5,7,4]=>[4,7,5,6,8,1,2,3]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[2,3,1,6,7,5,8,4]=>[3,2,1,8,6,5,7,4]=>[4,7,5,6,8,1,2,3]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[2,3,1,5,7,6,8,4]=>[3,2,1,8,6,5,7,4]=>[4,7,5,6,8,1,2,3]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[2,3,1,5,6,7,8,4]=>[3,2,1,8,5,6,7,4]=>[4,7,6,5,8,1,2,3]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[1,3,2,8,7,6,5,4]=>[1,3,2,8,7,6,5,4]=>[4,5,6,7,8,2,3,1]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]
[1,3,2,6,8,7,5,4]=>[1,3,2,8,7,6,5,4]=>[4,5,6,7,8,2,3,1]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]
[1,3,2,7,6,8,5,4]=>[1,3,2,8,7,6,5,4]=>[4,5,6,7,8,2,3,1]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]
[1,3,2,6,7,8,5,4]=>[1,3,2,8,7,6,5,4]=>[4,5,6,7,8,2,3,1]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]
[1,3,2,5,8,7,6,4]=>[1,3,2,8,7,6,5,4]=>[4,5,6,7,8,2,3,1]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]
[1,3,2,5,7,8,6,4]=>[1,3,2,8,7,6,5,4]=>[4,5,6,7,8,2,3,1]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]
[1,3,2,6,5,8,7,4]=>[1,3,2,8,5,7,6,4]=>[4,6,7,5,8,2,3,1]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[1,3,2,5,6,8,7,4]=>[1,3,2,8,5,7,6,4]=>[4,6,7,5,8,2,3,1]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[1,3,2,7,6,5,8,4]=>[1,3,2,8,6,5,7,4]=>[4,7,5,6,8,2,3,1]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[1,3,2,6,7,5,8,4]=>[1,3,2,8,6,5,7,4]=>[4,7,5,6,8,2,3,1]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[1,3,2,5,7,6,8,4]=>[1,3,2,8,6,5,7,4]=>[4,7,5,6,8,2,3,1]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[1,3,2,6,5,7,8,4]=>[1,3,2,8,5,6,7,4]=>[4,7,6,5,8,2,3,1]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[1,3,2,5,6,7,8,4]=>[1,3,2,8,5,6,7,4]=>[4,7,6,5,8,2,3,1]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[2,1,3,8,7,6,5,4]=>[2,1,3,8,7,6,5,4]=>[4,5,6,7,8,3,1,2]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]
[2,1,3,7,8,6,5,4]=>[2,1,3,8,7,6,5,4]=>[4,5,6,7,8,3,1,2]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]
[2,1,3,6,8,7,5,4]=>[2,1,3,8,7,6,5,4]=>[4,5,6,7,8,3,1,2]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]
[2,1,3,6,7,8,5,4]=>[2,1,3,8,7,6,5,4]=>[4,5,6,7,8,3,1,2]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]
[2,1,3,6,5,8,7,4]=>[2,1,3,8,5,7,6,4]=>[4,6,7,5,8,3,1,2]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]
[2,1,3,5,7,6,8,4]=>[2,1,3,8,6,5,7,4]=>[4,7,5,6,8,3,1,2]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]
[1,2,3,8,7,6,5,4]=>[1,2,3,8,7,6,5,4]=>[4,5,6,7,8,3,2,1]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[1,2,3,7,8,6,5,4]=>[1,2,3,8,7,6,5,4]=>[4,5,6,7,8,3,2,1]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[1,2,3,6,8,7,5,4]=>[1,2,3,8,7,6,5,4]=>[4,5,6,7,8,3,2,1]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[1,2,3,7,6,8,5,4]=>[1,2,3,8,7,6,5,4]=>[4,5,6,7,8,3,2,1]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[1,2,3,6,7,8,5,4]=>[1,2,3,8,7,6,5,4]=>[4,5,6,7,8,3,2,1]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[1,2,3,5,8,7,6,4]=>[1,2,3,8,7,6,5,4]=>[4,5,6,7,8,3,2,1]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[1,2,3,5,7,8,6,4]=>[1,2,3,8,7,6,5,4]=>[4,5,6,7,8,3,2,1]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[1,2,3,6,5,8,7,4]=>[1,2,3,8,5,7,6,4]=>[4,6,7,5,8,3,2,1]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]
[1,2,3,5,6,8,7,4]=>[1,2,3,8,5,7,6,4]=>[4,6,7,5,8,3,2,1]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]
[1,2,3,7,6,5,8,4]=>[1,2,3,8,6,5,7,4]=>[4,7,5,6,8,3,2,1]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]
[1,2,3,6,7,5,8,4]=>[1,2,3,8,6,5,7,4]=>[4,7,5,6,8,3,2,1]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]
[1,2,3,5,7,6,8,4]=>[1,2,3,8,6,5,7,4]=>[4,7,5,6,8,3,2,1]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]
[1,2,3,6,5,7,8,4]=>[1,2,3,8,5,6,7,4]=>[4,7,6,5,8,3,2,1]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]
[1,2,3,5,6,7,8,4]=>[1,2,3,8,5,6,7,4]=>[4,7,6,5,8,3,2,1]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]
[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]=>[5,7,6,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[4,3,2,1,6,7,8,5]=>[4,3,2,1,8,6,7,5]=>[5,7,6,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[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]=>[5,7,6,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[3,4,2,1,6,7,8,5]=>[4,3,2,1,8,6,7,5]=>[5,7,6,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[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]=>[5,7,6,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[2,4,3,1,6,7,8,5]=>[4,3,2,1,8,6,7,5]=>[5,7,6,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[3,2,4,1,8,7,6,5]=>[4,2,3,1,8,7,6,5]=>[5,6,7,8,1,3,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]
[3,2,4,1,7,8,6,5]=>[4,2,3,1,8,7,6,5]=>[5,6,7,8,1,3,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]
[3,2,4,1,6,8,7,5]=>[4,2,3,1,8,7,6,5]=>[5,6,7,8,1,3,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]
[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]=>[5,6,7,8,1,3,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]
[2,3,4,1,7,8,6,5]=>[4,2,3,1,8,7,6,5]=>[5,6,7,8,1,3,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]
[2,3,4,1,6,8,7,5]=>[4,2,3,1,8,7,6,5]=>[5,6,7,8,1,3,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]
[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]=>[5,6,7,8,2,3,4,1]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]
[1,4,3,2,6,8,7,5]=>[1,4,3,2,8,7,6,5]=>[5,6,7,8,2,3,4,1]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]
[1,4,3,2,7,6,8,5]=>[1,4,3,2,8,6,7,5]=>[5,7,6,8,2,3,4,1]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[1,4,3,2,6,7,8,5]=>[1,4,3,2,8,6,7,5]=>[5,7,6,8,2,3,4,1]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[1,3,4,2,8,7,6,5]=>[1,4,3,2,8,7,6,5]=>[5,6,7,8,2,3,4,1]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]
[1,3,4,2,7,8,6,5]=>[1,4,3,2,8,7,6,5]=>[5,6,7,8,2,3,4,1]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]
[1,3,4,2,6,8,7,5]=>[1,4,3,2,8,7,6,5]=>[5,6,7,8,2,3,4,1]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]
[1,3,4,2,7,6,8,5]=>[1,4,3,2,8,6,7,5]=>[5,7,6,8,2,3,4,1]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[1,3,4,2,6,7,8,5]=>[1,4,3,2,8,6,7,5]=>[5,7,6,8,2,3,4,1]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[2,1,4,3,8,7,6,5]=>[2,1,4,3,8,7,6,5]=>[5,6,7,8,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]
[2,1,4,3,7,8,6,5]=>[2,1,4,3,8,7,6,5]=>[5,6,7,8,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]
[2,1,4,3,6,8,7,5]=>[2,1,4,3,8,7,6,5]=>[5,6,7,8,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]
[2,1,4,3,7,6,8,5]=>[2,1,4,3,8,6,7,5]=>[5,7,6,8,3,4,1,2]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[2,1,4,3,6,7,8,5]=>[2,1,4,3,8,6,7,5]=>[5,7,6,8,3,4,1,2]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[1,2,4,3,8,7,6,5]=>[1,2,4,3,8,7,6,5]=>[5,6,7,8,3,4,2,1]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]
[1,2,4,3,7,8,6,5]=>[1,2,4,3,8,7,6,5]=>[5,6,7,8,3,4,2,1]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]
[1,2,4,3,6,8,7,5]=>[1,2,4,3,8,7,6,5]=>[5,6,7,8,3,4,2,1]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]
[1,2,4,3,7,6,8,5]=>[1,2,4,3,8,6,7,5]=>[5,7,6,8,3,4,2,1]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]
[1,2,4,3,6,7,8,5]=>[1,2,4,3,8,6,7,5]=>[5,7,6,8,3,4,2,1]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]
[3,2,1,4,8,7,6,5]=>[3,2,1,4,8,7,6,5]=>[5,6,7,8,4,1,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]
[3,2,1,4,7,8,6,5]=>[3,2,1,4,8,7,6,5]=>[5,6,7,8,4,1,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]
[3,2,1,4,6,8,7,5]=>[3,2,1,4,8,7,6,5]=>[5,6,7,8,4,1,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]
[3,2,1,4,7,6,8,5]=>[3,2,1,4,8,6,7,5]=>[5,7,6,8,4,1,2,3]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]
[3,2,1,4,6,7,8,5]=>[3,2,1,4,8,6,7,5]=>[5,7,6,8,4,1,2,3]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]
[2,3,1,4,8,7,6,5]=>[3,2,1,4,8,7,6,5]=>[5,6,7,8,4,1,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]
[2,3,1,4,7,8,6,5]=>[3,2,1,4,8,7,6,5]=>[5,6,7,8,4,1,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]
[2,3,1,4,7,6,8,5]=>[3,2,1,4,8,6,7,5]=>[5,7,6,8,4,1,2,3]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]
[2,3,1,4,6,7,8,5]=>[3,2,1,4,8,6,7,5]=>[5,7,6,8,4,1,2,3]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]
[1,3,2,4,8,7,6,5]=>[1,3,2,4,8,7,6,5]=>[5,6,7,8,4,2,3,1]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]
[1,3,2,4,6,8,7,5]=>[1,3,2,4,8,7,6,5]=>[5,6,7,8,4,2,3,1]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]
[1,3,2,4,7,6,8,5]=>[1,3,2,4,8,6,7,5]=>[5,7,6,8,4,2,3,1]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]
[1,3,2,4,6,7,8,5]=>[1,3,2,4,8,6,7,5]=>[5,7,6,8,4,2,3,1]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]
[2,1,3,4,8,7,6,5]=>[2,1,3,4,8,7,6,5]=>[5,6,7,8,4,3,1,2]=>[[[[.,[.,.]],.],.],[.,[.,[.,.]]]]
[2,1,3,4,7,8,6,5]=>[2,1,3,4,8,7,6,5]=>[5,6,7,8,4,3,1,2]=>[[[[.,[.,.]],.],.],[.,[.,[.,.]]]]
[1,2,3,4,8,7,6,5]=>[1,2,3,4,8,7,6,5]=>[5,6,7,8,4,3,2,1]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]
[1,2,3,4,7,8,6,5]=>[1,2,3,4,8,7,6,5]=>[5,6,7,8,4,3,2,1]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]
[1,2,3,4,6,8,7,5]=>[1,2,3,4,8,7,6,5]=>[5,6,7,8,4,3,2,1]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]
[1,2,3,4,7,6,8,5]=>[1,2,3,4,8,6,7,5]=>[5,7,6,8,4,3,2,1]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]
[1,2,3,4,6,7,8,5]=>[1,2,3,4,8,6,7,5]=>[5,7,6,8,4,3,2,1]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]
[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[5,4,3,2,1,7,8,6]=>[5,4,3,2,1,8,7,6]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[4,5,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[3,5,4,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[3,5,4,2,1,7,8,6]=>[5,4,3,2,1,8,7,6]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[4,3,5,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[3,4,5,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[3,4,5,2,1,7,8,6]=>[5,4,3,2,1,8,7,6]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[2,5,4,3,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[2,5,4,3,1,7,8,6]=>[5,4,3,2,1,8,7,6]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[2,4,5,3,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[2,4,5,3,1,7,8,6]=>[5,4,3,2,1,8,7,6]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[3,2,5,4,1,8,7,6]=>[5,2,4,3,1,8,7,6]=>[6,7,8,1,3,4,2,5]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]
[3,2,5,4,1,7,8,6]=>[5,2,4,3,1,8,7,6]=>[6,7,8,1,3,4,2,5]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]
[2,3,5,4,1,8,7,6]=>[5,2,4,3,1,8,7,6]=>[6,7,8,1,3,4,2,5]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]
[4,3,2,5,1,8,7,6]=>[5,3,2,4,1,8,7,6]=>[6,7,8,1,4,2,3,5]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]
[4,3,2,5,1,7,8,6]=>[5,3,2,4,1,8,7,6]=>[6,7,8,1,4,2,3,5]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]
[3,4,2,5,1,8,7,6]=>[5,3,2,4,1,8,7,6]=>[6,7,8,1,4,2,3,5]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]
[3,4,2,5,1,7,8,6]=>[5,3,2,4,1,8,7,6]=>[6,7,8,1,4,2,3,5]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]
[2,4,3,5,1,8,7,6]=>[5,3,2,4,1,8,7,6]=>[6,7,8,1,4,2,3,5]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]
[2,4,3,5,1,7,8,6]=>[5,3,2,4,1,8,7,6]=>[6,7,8,1,4,2,3,5]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]
[3,2,4,5,1,8,7,6]=>[5,2,3,4,1,8,7,6]=>[6,7,8,1,4,3,2,5]=>[[.,[[[.,.],.],[.,.]]],[.,[.,.]]]
[2,3,4,5,1,8,7,6]=>[5,2,3,4,1,8,7,6]=>[6,7,8,1,4,3,2,5]=>[[.,[[[.,.],.],[.,.]]],[.,[.,.]]]
[2,3,4,5,1,7,8,6]=>[5,2,3,4,1,8,7,6]=>[6,7,8,1,4,3,2,5]=>[[.,[[[.,.],.],[.,.]]],[.,[.,.]]]
[1,5,4,3,2,8,7,6]=>[1,5,4,3,2,8,7,6]=>[6,7,8,2,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]
[1,5,4,3,2,7,8,6]=>[1,5,4,3,2,8,7,6]=>[6,7,8,2,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]
[1,4,5,3,2,8,7,6]=>[1,5,4,3,2,8,7,6]=>[6,7,8,2,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]
[1,4,5,3,2,7,8,6]=>[1,5,4,3,2,8,7,6]=>[6,7,8,2,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]
[1,3,5,4,2,7,8,6]=>[1,5,4,3,2,8,7,6]=>[6,7,8,2,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]
[1,4,3,5,2,8,7,6]=>[1,5,3,4,2,8,7,6]=>[6,7,8,2,4,3,5,1]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]
[1,4,3,5,2,7,8,6]=>[1,5,3,4,2,8,7,6]=>[6,7,8,2,4,3,5,1]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]
[1,3,4,5,2,8,7,6]=>[1,5,3,4,2,8,7,6]=>[6,7,8,2,4,3,5,1]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]
[1,3,4,5,2,7,8,6]=>[1,5,3,4,2,8,7,6]=>[6,7,8,2,4,3,5,1]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]
[1,2,5,4,3,8,7,6]=>[1,2,5,4,3,8,7,6]=>[6,7,8,3,4,5,2,1]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]
[1,2,5,4,3,7,8,6]=>[1,2,5,4,3,8,7,6]=>[6,7,8,3,4,5,2,1]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]
[1,2,4,5,3,8,7,6]=>[1,2,5,4,3,8,7,6]=>[6,7,8,3,4,5,2,1]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]
[1,2,4,5,3,7,8,6]=>[1,2,5,4,3,8,7,6]=>[6,7,8,3,4,5,2,1]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]
[1,3,2,5,4,8,7,6]=>[1,3,2,5,4,8,7,6]=>[6,7,8,4,5,2,3,1]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]
[1,3,2,5,4,7,8,6]=>[1,3,2,5,4,8,7,6]=>[6,7,8,4,5,2,3,1]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]
[2,1,3,5,4,8,7,6]=>[2,1,3,5,4,8,7,6]=>[6,7,8,4,5,3,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]
[2,1,3,5,4,7,8,6]=>[2,1,3,5,4,8,7,6]=>[6,7,8,4,5,3,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]
[4,3,2,1,5,8,7,6]=>[4,3,2,1,5,8,7,6]=>[6,7,8,5,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]]
[4,3,2,1,5,7,8,6]=>[4,3,2,1,5,8,7,6]=>[6,7,8,5,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]]
[3,4,2,1,5,8,7,6]=>[4,3,2,1,5,8,7,6]=>[6,7,8,5,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]]
[2,4,3,1,5,8,7,6]=>[4,3,2,1,5,8,7,6]=>[6,7,8,5,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]]
[3,2,4,1,5,8,7,6]=>[4,2,3,1,5,8,7,6]=>[6,7,8,5,1,3,2,4]=>[[[.,[[.,.],[.,.]]],.],[.,[.,.]]]
[3,2,4,1,5,7,8,6]=>[4,2,3,1,5,8,7,6]=>[6,7,8,5,1,3,2,4]=>[[[.,[[.,.],[.,.]]],.],[.,[.,.]]]
[2,3,4,1,5,8,7,6]=>[4,2,3,1,5,8,7,6]=>[6,7,8,5,1,3,2,4]=>[[[.,[[.,.],[.,.]]],.],[.,[.,.]]]
[2,3,4,1,5,7,8,6]=>[4,2,3,1,5,8,7,6]=>[6,7,8,5,1,3,2,4]=>[[[.,[[.,.],[.,.]]],.],[.,[.,.]]]
[1,4,3,2,5,8,7,6]=>[1,4,3,2,5,8,7,6]=>[6,7,8,5,2,3,4,1]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]
[1,4,3,2,5,7,8,6]=>[1,4,3,2,5,8,7,6]=>[6,7,8,5,2,3,4,1]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]
[1,3,4,2,5,8,7,6]=>[1,4,3,2,5,8,7,6]=>[6,7,8,5,2,3,4,1]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]
[1,3,4,2,5,7,8,6]=>[1,4,3,2,5,8,7,6]=>[6,7,8,5,2,3,4,1]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]
[2,1,4,3,5,8,7,6]=>[2,1,4,3,5,8,7,6]=>[6,7,8,5,3,4,1,2]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]
[2,1,4,3,5,7,8,6]=>[2,1,4,3,5,8,7,6]=>[6,7,8,5,3,4,1,2]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]
[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]=>[6,7,8,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,[.,.]]]
[2,1,3,4,5,7,8,6]=>[2,1,3,4,5,8,7,6]=>[6,7,8,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,[.,.]]]
[1,2,3,4,5,8,7,6]=>[1,2,3,4,5,8,7,6]=>[6,7,8,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],[.,[.,.]]]
[1,2,3,4,5,7,8,6]=>[1,2,3,4,5,8,7,6]=>[6,7,8,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],[.,[.,.]]]
[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[5,6,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[4,6,5,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[5,4,6,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[4,5,6,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[3,6,5,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[3,5,6,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[4,3,6,5,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[3,4,6,5,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[5,4,3,6,2,1,8,7]=>[6,5,3,4,2,1,8,7]=>[7,8,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]
[4,5,3,6,2,1,8,7]=>[6,5,3,4,2,1,8,7]=>[7,8,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]
[4,3,5,6,2,1,8,7]=>[6,5,3,4,2,1,8,7]=>[7,8,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]
[3,4,5,6,2,1,8,7]=>[6,5,3,4,2,1,8,7]=>[7,8,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]
[2,6,5,4,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[2,5,6,4,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[2,4,6,5,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[3,2,6,5,4,1,8,7]=>[6,2,5,4,3,1,8,7]=>[7,8,1,3,4,5,2,6]=>[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]
[3,2,5,6,4,1,8,7]=>[6,2,5,4,3,1,8,7]=>[7,8,1,3,4,5,2,6]=>[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]
[2,3,6,5,4,1,8,7]=>[6,2,5,4,3,1,8,7]=>[7,8,1,3,4,5,2,6]=>[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]
[2,3,5,6,4,1,8,7]=>[6,2,5,4,3,1,8,7]=>[7,8,1,3,4,5,2,6]=>[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]
[4,3,2,6,5,1,8,7]=>[6,3,2,5,4,1,8,7]=>[7,8,1,4,5,2,3,6]=>[[.,[[.,[.,.]],[.,[.,.]]]],[.,.]]
[3,4,2,6,5,1,8,7]=>[6,3,2,5,4,1,8,7]=>[7,8,1,4,5,2,3,6]=>[[.,[[.,[.,.]],[.,[.,.]]]],[.,.]]
[2,4,3,6,5,1,8,7]=>[6,3,2,5,4,1,8,7]=>[7,8,1,4,5,2,3,6]=>[[.,[[.,[.,.]],[.,[.,.]]]],[.,.]]
[4,3,2,5,6,1,8,7]=>[6,3,2,4,5,1,8,7]=>[7,8,1,5,4,2,3,6]=>[[.,[[[.,[.,.]],.],[.,.]]],[.,.]]
[3,4,2,5,6,1,8,7]=>[6,3,2,4,5,1,8,7]=>[7,8,1,5,4,2,3,6]=>[[.,[[[.,[.,.]],.],[.,.]]],[.,.]]
[2,4,3,5,6,1,8,7]=>[6,3,2,4,5,1,8,7]=>[7,8,1,5,4,2,3,6]=>[[.,[[[.,[.,.]],.],[.,.]]],[.,.]]
[1,6,5,4,3,2,8,7]=>[1,6,5,4,3,2,8,7]=>[7,8,2,3,4,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]
[1,5,6,4,3,2,8,7]=>[1,6,5,4,3,2,8,7]=>[7,8,2,3,4,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]
[1,5,4,6,3,2,8,7]=>[1,6,5,4,3,2,8,7]=>[7,8,2,3,4,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]
[1,3,6,5,4,2,8,7]=>[1,6,5,4,3,2,8,7]=>[7,8,2,3,4,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]
[1,3,4,5,6,2,8,7]=>[1,6,3,4,5,2,8,7]=>[7,8,2,5,4,3,6,1]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]
[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]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]
[3,2,1,6,5,4,8,7]=>[3,2,1,6,5,4,8,7]=>[7,8,4,5,6,1,2,3]=>[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]
[2,3,1,6,5,4,8,7]=>[3,2,1,6,5,4,8,7]=>[7,8,4,5,6,1,2,3]=>[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]
[1,3,2,6,5,4,8,7]=>[1,3,2,6,5,4,8,7]=>[7,8,4,5,6,2,3,1]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]
[1,3,2,5,6,4,8,7]=>[1,3,2,6,5,4,8,7]=>[7,8,4,5,6,2,3,1]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]
[2,1,3,6,5,4,8,7]=>[2,1,3,6,5,4,8,7]=>[7,8,4,5,6,3,1,2]=>[[[[.,[.,.]],.],[.,[.,.]]],[.,.]]
[2,1,3,5,6,4,8,7]=>[2,1,3,6,5,4,8,7]=>[7,8,4,5,6,3,1,2]=>[[[[.,[.,.]],.],[.,[.,.]]],[.,.]]
[4,3,2,1,6,5,8,7]=>[4,3,2,1,6,5,8,7]=>[7,8,5,6,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]
[3,4,2,1,6,5,8,7]=>[4,3,2,1,6,5,8,7]=>[7,8,5,6,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]
[2,4,3,1,6,5,8,7]=>[4,3,2,1,6,5,8,7]=>[7,8,5,6,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]
[3,2,4,1,6,5,8,7]=>[4,2,3,1,6,5,8,7]=>[7,8,5,6,1,3,2,4]=>[[[.,[[.,.],[.,.]]],[.,.]],[.,.]]
[2,3,4,1,6,5,8,7]=>[4,2,3,1,6,5,8,7]=>[7,8,5,6,1,3,2,4]=>[[[.,[[.,.],[.,.]]],[.,.]],[.,.]]
[1,3,4,2,6,5,8,7]=>[1,4,3,2,6,5,8,7]=>[7,8,5,6,2,3,4,1]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]
[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]=>[7,8,5,6,3,4,2,1]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]
[2,3,1,4,6,5,8,7]=>[3,2,1,4,6,5,8,7]=>[7,8,5,6,4,1,2,3]=>[[[[.,[.,[.,.]]],.],[.,.]],[.,.]]
[2,1,3,4,6,5,8,7]=>[2,1,3,4,6,5,8,7]=>[7,8,5,6,4,3,1,2]=>[[[[[.,[.,.]],.],.],[.,.]],[.,.]]
[1,2,3,4,6,5,8,7]=>[1,2,3,4,6,5,8,7]=>[7,8,5,6,4,3,2,1]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]
[5,4,3,2,1,6,8,7]=>[5,4,3,2,1,6,8,7]=>[7,8,6,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]]
[4,5,3,2,1,6,8,7]=>[5,4,3,2,1,6,8,7]=>[7,8,6,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]]
[3,5,4,2,1,6,8,7]=>[5,4,3,2,1,6,8,7]=>[7,8,6,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]]
[4,3,5,2,1,6,8,7]=>[5,4,3,2,1,6,8,7]=>[7,8,6,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]]
[3,4,5,2,1,6,8,7]=>[5,4,3,2,1,6,8,7]=>[7,8,6,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]]
[2,5,4,3,1,6,8,7]=>[5,4,3,2,1,6,8,7]=>[7,8,6,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]]
[2,4,5,3,1,6,8,7]=>[5,4,3,2,1,6,8,7]=>[7,8,6,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]]
[2,4,3,5,1,6,8,7]=>[5,3,2,4,1,6,8,7]=>[7,8,6,1,4,2,3,5]=>[[[.,[[.,[.,.]],[.,.]]],.],[.,.]]
[2,3,4,5,1,6,8,7]=>[5,2,3,4,1,6,8,7]=>[7,8,6,1,4,3,2,5]=>[[[.,[[[.,.],.],[.,.]]],.],[.,.]]
[1,4,5,3,2,6,8,7]=>[1,5,4,3,2,6,8,7]=>[7,8,6,2,3,4,5,1]=>[[[[.,.],[.,[.,[.,.]]]],.],[.,.]]
[1,3,5,4,2,6,8,7]=>[1,5,4,3,2,6,8,7]=>[7,8,6,2,3,4,5,1]=>[[[[.,.],[.,[.,[.,.]]]],.],[.,.]]
[2,1,5,4,3,6,8,7]=>[2,1,5,4,3,6,8,7]=>[7,8,6,3,4,5,1,2]=>[[[[.,[.,.]],[.,[.,.]]],.],[.,.]]
[2,1,4,5,3,6,8,7]=>[2,1,5,4,3,6,8,7]=>[7,8,6,3,4,5,1,2]=>[[[[.,[.,.]],[.,[.,.]]],.],[.,.]]
[1,2,5,4,3,6,8,7]=>[1,2,5,4,3,6,8,7]=>[7,8,6,3,4,5,2,1]=>[[[[[.,.],.],[.,[.,.]]],.],[.,.]]
[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]=>[7,8,6,4,5,3,2,1]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]
[4,3,2,1,5,6,8,7]=>[4,3,2,1,5,6,8,7]=>[7,8,6,5,1,2,3,4]=>[[[[.,[.,[.,[.,.]]]],.],.],[.,.]]
[3,4,2,1,5,6,8,7]=>[4,3,2,1,5,6,8,7]=>[7,8,6,5,1,2,3,4]=>[[[[.,[.,[.,[.,.]]]],.],.],[.,.]]
[2,1,4,3,5,6,8,7]=>[2,1,4,3,5,6,8,7]=>[7,8,6,5,3,4,1,2]=>[[[[[.,[.,.]],[.,.]],.],.],[.,.]]
[1,2,4,3,5,6,8,7]=>[1,2,4,3,5,6,8,7]=>[7,8,6,5,3,4,2,1]=>[[[[[[.,.],.],[.,.]],.],.],[.,.]]
[3,2,1,4,5,6,8,7]=>[3,2,1,4,5,6,8,7]=>[7,8,6,5,4,1,2,3]=>[[[[[.,[.,[.,.]]],.],.],.],[.,.]]
[2,3,1,4,5,6,8,7]=>[3,2,1,4,5,6,8,7]=>[7,8,6,5,4,1,2,3]=>[[[[[.,[.,[.,.]]],.],.],.],[.,.]]
[1,3,2,4,5,6,8,7]=>[1,3,2,4,5,6,8,7]=>[7,8,6,5,4,2,3,1]=>[[[[[[.,.],[.,.]],.],.],.],[.,.]]
[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]=>[7,8,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],[.,.]]
[5,7,6,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,7,6,5,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,6,7,5,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,4,7,6,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,5,7,6,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,6,5,7,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[3,5,7,6,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[3,5,6,7,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,3,7,6,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[3,4,7,6,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,4,3,7,6,2,1,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[4,5,3,7,6,2,1,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[3,5,4,7,6,2,1,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[4,3,5,7,6,2,1,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[3,6,5,4,7,2,1,8]=>[7,6,4,3,5,2,1,8]=>[8,1,2,5,3,4,6,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[3,5,6,4,7,2,1,8]=>[7,6,4,3,5,2,1,8]=>[8,1,2,5,3,4,6,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[4,3,6,5,7,2,1,8]=>[7,6,4,3,5,2,1,8]=>[8,1,2,5,3,4,6,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[2,7,6,5,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[2,6,7,5,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[2,5,7,6,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[2,5,6,7,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[2,4,6,7,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[2,5,4,7,6,3,1,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[2,5,6,4,7,3,1,8]=>[7,6,4,3,5,2,1,8]=>[8,1,2,5,3,4,6,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[2,5,4,6,7,3,1,8]=>[7,6,3,4,5,2,1,8]=>[8,1,2,5,4,3,6,7]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[2,4,5,6,7,3,1,8]=>[7,6,3,4,5,2,1,8]=>[8,1,2,5,4,3,6,7]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[3,2,6,5,7,4,1,8]=>[7,2,6,4,5,3,1,8]=>[8,1,3,5,4,6,2,7]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[3,2,5,6,7,4,1,8]=>[7,2,6,4,5,3,1,8]=>[8,1,3,5,4,6,2,7]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[2,3,6,5,7,4,1,8]=>[7,2,6,4,5,3,1,8]=>[8,1,3,5,4,6,2,7]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[2,3,5,6,7,4,1,8]=>[7,2,6,4,5,3,1,8]=>[8,1,3,5,4,6,2,7]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[4,3,2,6,7,5,1,8]=>[7,3,2,6,5,4,1,8]=>[8,1,4,5,6,2,3,7]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[3,4,2,7,6,5,1,8]=>[7,3,2,6,5,4,1,8]=>[8,1,4,5,6,2,3,7]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[3,4,2,6,7,5,1,8]=>[7,3,2,6,5,4,1,8]=>[8,1,4,5,6,2,3,7]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[3,2,4,6,7,5,1,8]=>[7,2,3,6,5,4,1,8]=>[8,1,4,5,6,3,2,7]=>[[.,[[[.,.],.],[.,[.,[.,.]]]]],.]
[2,3,4,7,6,5,1,8]=>[7,2,3,6,5,4,1,8]=>[8,1,4,5,6,3,2,7]=>[[.,[[[.,.],.],[.,[.,[.,.]]]]],.]
[2,3,4,6,7,5,1,8]=>[7,2,3,6,5,4,1,8]=>[8,1,4,5,6,3,2,7]=>[[.,[[[.,.],.],[.,[.,[.,.]]]]],.]
[4,3,2,5,7,6,1,8]=>[7,3,2,4,6,5,1,8]=>[8,1,5,6,4,2,3,7]=>[[.,[[[.,[.,.]],.],[.,[.,.]]]],.]
[3,4,2,5,7,6,1,8]=>[7,3,2,4,6,5,1,8]=>[8,1,5,6,4,2,3,7]=>[[.,[[[.,[.,.]],.],[.,[.,.]]]],.]
[2,3,4,5,7,6,1,8]=>[7,2,3,4,6,5,1,8]=>[8,1,5,6,4,3,2,7]=>[[.,[[[[.,.],.],.],[.,[.,.]]]],.]
[3,6,5,4,2,7,1,8]=>[7,5,4,3,2,6,1,8]=>[8,1,6,2,3,4,5,7]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[3,5,6,4,2,7,1,8]=>[7,5,4,3,2,6,1,8]=>[8,1,6,2,3,4,5,7]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[3,4,6,5,2,7,1,8]=>[7,5,4,3,2,6,1,8]=>[8,1,6,2,3,4,5,7]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[3,5,4,6,2,7,1,8]=>[7,5,3,4,2,6,1,8]=>[8,1,6,2,4,3,5,7]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[2,5,4,6,3,7,1,8]=>[7,5,3,4,2,6,1,8]=>[8,1,6,2,4,3,5,7]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[2,4,5,6,3,7,1,8]=>[7,5,3,4,2,6,1,8]=>[8,1,6,2,4,3,5,7]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[3,2,6,5,4,7,1,8]=>[7,2,5,4,3,6,1,8]=>[8,1,6,3,4,5,2,7]=>[[.,[[[.,.],[.,[.,.]]],[.,.]]],.]
[2,3,5,6,4,7,1,8]=>[7,2,5,4,3,6,1,8]=>[8,1,6,3,4,5,2,7]=>[[.,[[[.,.],[.,[.,.]]],[.,.]]],.]
[4,3,2,6,5,7,1,8]=>[7,3,2,5,4,6,1,8]=>[8,1,6,4,5,2,3,7]=>[[.,[[[.,[.,.]],[.,.]],[.,.]]],.]
[3,4,2,6,5,7,1,8]=>[7,3,2,5,4,6,1,8]=>[8,1,6,4,5,2,3,7]=>[[.,[[[.,[.,.]],[.,.]],[.,.]]],.]
[2,4,3,6,5,7,1,8]=>[7,3,2,5,4,6,1,8]=>[8,1,6,4,5,2,3,7]=>[[.,[[[.,[.,.]],[.,.]],[.,.]]],.]
[2,3,4,6,5,7,1,8]=>[7,2,3,5,4,6,1,8]=>[8,1,6,4,5,3,2,7]=>[[.,[[[[.,.],.],[.,.]],[.,.]]],.]
[3,5,4,2,6,7,1,8]=>[7,4,3,2,5,6,1,8]=>[8,1,6,5,2,3,4,7]=>[[.,[[[.,[.,[.,.]]],.],[.,.]]],.]
[2,5,4,3,6,7,1,8]=>[7,4,3,2,5,6,1,8]=>[8,1,6,5,2,3,4,7]=>[[.,[[[.,[.,[.,.]]],.],[.,.]]],.]
[2,4,5,3,6,7,1,8]=>[7,4,3,2,5,6,1,8]=>[8,1,6,5,2,3,4,7]=>[[.,[[[.,[.,[.,.]]],.],[.,.]]],.]
[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]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[1,5,4,6,3,7,2,8]=>[1,7,5,4,3,6,2,8]=>[8,2,6,3,4,5,7,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[1,4,5,6,3,7,2,8]=>[1,7,5,4,3,6,2,8]=>[8,2,6,3,4,5,7,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[1,3,6,5,4,7,2,8]=>[1,7,5,4,3,6,2,8]=>[8,2,6,3,4,5,7,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[1,3,5,6,4,7,2,8]=>[1,7,5,4,3,6,2,8]=>[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]=>[8,3,4,5,6,7,1,2]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[2,1,6,7,5,4,3,8]=>[2,1,7,6,5,4,3,8]=>[8,3,4,5,6,7,1,2]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[2,1,5,6,7,4,3,8]=>[2,1,7,6,5,4,3,8]=>[8,3,4,5,6,7,1,2]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[2,1,4,6,7,5,3,8]=>[2,1,7,6,5,4,3,8]=>[8,3,4,5,6,7,1,2]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[1,2,7,6,5,4,3,8]=>[1,2,7,6,5,4,3,8]=>[8,3,4,5,6,7,2,1]=>[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]
[1,2,6,7,5,4,3,8]=>[1,2,7,6,5,4,3,8]=>[8,3,4,5,6,7,2,1]=>[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]
[1,2,5,7,6,4,3,8]=>[1,2,7,6,5,4,3,8]=>[8,3,4,5,6,7,2,1]=>[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]
[1,2,5,6,7,4,3,8]=>[1,2,7,6,5,4,3,8]=>[8,3,4,5,6,7,2,1]=>[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]
[1,2,4,6,7,5,3,8]=>[1,2,7,6,5,4,3,8]=>[8,3,4,5,6,7,2,1]=>[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]
[1,2,5,4,6,7,3,8]=>[1,2,7,4,5,6,3,8]=>[8,3,6,5,4,7,2,1]=>[[[[.,.],.],[[[.,.],.],[.,.]]],.]
[1,2,4,5,6,7,3,8]=>[1,2,7,4,5,6,3,8]=>[8,3,6,5,4,7,2,1]=>[[[[.,.],.],[[[.,.],.],[.,.]]],.]
[3,2,1,7,6,5,4,8]=>[3,2,1,7,6,5,4,8]=>[8,4,5,6,7,1,2,3]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[3,2,1,6,7,5,4,8]=>[3,2,1,7,6,5,4,8]=>[8,4,5,6,7,1,2,3]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[3,2,1,5,7,6,4,8]=>[3,2,1,7,6,5,4,8]=>[8,4,5,6,7,1,2,3]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[3,2,1,6,5,7,4,8]=>[3,2,1,7,5,6,4,8]=>[8,4,6,5,7,1,2,3]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[3,2,1,5,6,7,4,8]=>[3,2,1,7,5,6,4,8]=>[8,4,6,5,7,1,2,3]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[2,3,1,6,7,5,4,8]=>[3,2,1,7,6,5,4,8]=>[8,4,5,6,7,1,2,3]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[2,3,1,6,5,7,4,8]=>[3,2,1,7,5,6,4,8]=>[8,4,6,5,7,1,2,3]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[2,3,1,5,6,7,4,8]=>[3,2,1,7,5,6,4,8]=>[8,4,6,5,7,1,2,3]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[1,3,2,7,6,5,4,8]=>[1,3,2,7,6,5,4,8]=>[8,4,5,6,7,2,3,1]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]
[1,3,2,6,7,5,4,8]=>[1,3,2,7,6,5,4,8]=>[8,4,5,6,7,2,3,1]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]
[1,3,2,5,7,6,4,8]=>[1,3,2,7,6,5,4,8]=>[8,4,5,6,7,2,3,1]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]
[1,3,2,6,5,7,4,8]=>[1,3,2,7,5,6,4,8]=>[8,4,6,5,7,2,3,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[1,3,2,5,6,7,4,8]=>[1,3,2,7,5,6,4,8]=>[8,4,6,5,7,2,3,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[1,2,3,7,6,5,4,8]=>[1,2,3,7,6,5,4,8]=>[8,4,5,6,7,3,2,1]=>[[[[[.,.],.],.],[.,[.,[.,.]]]],.]
[1,2,3,6,7,5,4,8]=>[1,2,3,7,6,5,4,8]=>[8,4,5,6,7,3,2,1]=>[[[[[.,.],.],.],[.,[.,[.,.]]]],.]
[1,2,3,5,7,6,4,8]=>[1,2,3,7,6,5,4,8]=>[8,4,5,6,7,3,2,1]=>[[[[[.,.],.],.],[.,[.,[.,.]]]],.]
[4,3,2,1,7,6,5,8]=>[4,3,2,1,7,6,5,8]=>[8,5,6,7,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[4,3,2,1,6,7,5,8]=>[4,3,2,1,7,6,5,8]=>[8,5,6,7,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[3,2,4,1,7,6,5,8]=>[4,2,3,1,7,6,5,8]=>[8,5,6,7,1,3,2,4]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[3,2,4,1,6,7,5,8]=>[4,2,3,1,7,6,5,8]=>[8,5,6,7,1,3,2,4]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[2,3,4,1,7,6,5,8]=>[4,2,3,1,7,6,5,8]=>[8,5,6,7,1,3,2,4]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[2,3,4,1,6,7,5,8]=>[4,2,3,1,7,6,5,8]=>[8,5,6,7,1,3,2,4]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[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]=>[8,5,6,7,3,4,1,2]=>[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]
[1,2,4,3,6,7,5,8]=>[1,2,4,3,7,6,5,8]=>[8,5,6,7,3,4,2,1]=>[[[[[.,.],.],[.,.]],[.,[.,.]]],.]
[3,2,1,4,7,6,5,8]=>[3,2,1,4,7,6,5,8]=>[8,5,6,7,4,1,2,3]=>[[[[.,[.,[.,.]]],.],[.,[.,.]]],.]
[2,3,1,4,6,7,5,8]=>[3,2,1,4,7,6,5,8]=>[8,5,6,7,4,1,2,3]=>[[[[.,[.,[.,.]]],.],[.,[.,.]]],.]
[1,3,2,4,7,6,5,8]=>[1,3,2,4,7,6,5,8]=>[8,5,6,7,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,[.,.]]],.]
[1,3,2,4,6,7,5,8]=>[1,3,2,4,7,6,5,8]=>[8,5,6,7,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,[.,.]]],.]
[1,2,3,4,7,6,5,8]=>[1,2,3,4,7,6,5,8]=>[8,5,6,7,4,3,2,1]=>[[[[[[.,.],.],.],.],[.,[.,.]]],.]
[1,2,3,4,6,7,5,8]=>[1,2,3,4,7,6,5,8]=>[8,5,6,7,4,3,2,1]=>[[[[[[.,.],.],.],.],[.,[.,.]]],.]
[5,4,3,2,1,7,6,8]=>[5,4,3,2,1,7,6,8]=>[8,6,7,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[4,5,3,2,1,7,6,8]=>[5,4,3,2,1,7,6,8]=>[8,6,7,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[3,5,4,2,1,7,6,8]=>[5,4,3,2,1,7,6,8]=>[8,6,7,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[3,4,5,2,1,7,6,8]=>[5,4,3,2,1,7,6,8]=>[8,6,7,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[2,5,4,3,1,7,6,8]=>[5,4,3,2,1,7,6,8]=>[8,6,7,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[2,4,5,3,1,7,6,8]=>[5,4,3,2,1,7,6,8]=>[8,6,7,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[3,2,5,4,1,7,6,8]=>[5,2,4,3,1,7,6,8]=>[8,6,7,1,3,4,2,5]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[2,3,5,4,1,7,6,8]=>[5,2,4,3,1,7,6,8]=>[8,6,7,1,3,4,2,5]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[3,4,2,5,1,7,6,8]=>[5,3,2,4,1,7,6,8]=>[8,6,7,1,4,2,3,5]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[2,4,3,5,1,7,6,8]=>[5,3,2,4,1,7,6,8]=>[8,6,7,1,4,2,3,5]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[2,3,4,5,1,7,6,8]=>[5,2,3,4,1,7,6,8]=>[8,6,7,1,4,3,2,5]=>[[[.,[[[.,.],.],[.,.]]],[.,.]],.]
[1,5,4,3,2,7,6,8]=>[1,5,4,3,2,7,6,8]=>[8,6,7,2,3,4,5,1]=>[[[[.,.],[.,[.,[.,.]]]],[.,.]],.]
[1,4,5,3,2,7,6,8]=>[1,5,4,3,2,7,6,8]=>[8,6,7,2,3,4,5,1]=>[[[[.,.],[.,[.,[.,.]]]],[.,.]],.]
[1,3,5,4,2,7,6,8]=>[1,5,4,3,2,7,6,8]=>[8,6,7,2,3,4,5,1]=>[[[[.,.],[.,[.,[.,.]]]],[.,.]],.]
[2,1,5,4,3,7,6,8]=>[2,1,5,4,3,7,6,8]=>[8,6,7,3,4,5,1,2]=>[[[[.,[.,.]],[.,[.,.]]],[.,.]],.]
[1,2,4,5,3,7,6,8]=>[1,2,5,4,3,7,6,8]=>[8,6,7,3,4,5,2,1]=>[[[[[.,.],.],[.,[.,.]]],[.,.]],.]
[3,2,1,5,4,7,6,8]=>[3,2,1,5,4,7,6,8]=>[8,6,7,4,5,1,2,3]=>[[[[.,[.,[.,.]]],[.,.]],[.,.]],.]
[2,3,1,5,4,7,6,8]=>[3,2,1,5,4,7,6,8]=>[8,6,7,4,5,1,2,3]=>[[[[.,[.,[.,.]]],[.,.]],[.,.]],.]
[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]=>[8,6,7,4,5,3,2,1]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.]
[4,3,2,1,5,7,6,8]=>[4,3,2,1,5,7,6,8]=>[8,6,7,5,1,2,3,4]=>[[[[.,[.,[.,[.,.]]]],.],[.,.]],.]
[3,2,4,1,5,7,6,8]=>[4,2,3,1,5,7,6,8]=>[8,6,7,5,1,3,2,4]=>[[[[.,[[.,.],[.,.]]],.],[.,.]],.]
[2,3,4,1,5,7,6,8]=>[4,2,3,1,5,7,6,8]=>[8,6,7,5,1,3,2,4]=>[[[[.,[[.,.],[.,.]]],.],[.,.]],.]
[1,4,3,2,5,7,6,8]=>[1,4,3,2,5,7,6,8]=>[8,6,7,5,2,3,4,1]=>[[[[[.,.],[.,[.,.]]],.],[.,.]],.]
[1,3,4,2,5,7,6,8]=>[1,4,3,2,5,7,6,8]=>[8,6,7,5,2,3,4,1]=>[[[[[.,.],[.,[.,.]]],.],[.,.]],.]
[1,2,4,3,5,7,6,8]=>[1,2,4,3,5,7,6,8]=>[8,6,7,5,3,4,2,1]=>[[[[[[.,.],.],[.,.]],.],[.,.]],.]
[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]=>[8,6,7,5,4,3,1,2]=>[[[[[[.,[.,.]],.],.],.],[.,.]],.]
[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,7,6,8]=>[8,6,7,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],[.,.]],.]
[3,6,5,4,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[8,7,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[4,3,6,5,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[8,7,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[2,4,6,5,3,1,7,8]=>[6,5,4,3,2,1,7,8]=>[8,7,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[2,4,5,6,3,1,7,8]=>[6,5,3,4,2,1,7,8]=>[8,7,1,2,4,3,5,6]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[2,3,6,5,4,1,7,8]=>[6,2,5,4,3,1,7,8]=>[8,7,1,3,4,5,2,6]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[2,3,5,6,4,1,7,8]=>[6,2,5,4,3,1,7,8]=>[8,7,1,3,4,5,2,6]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[2,3,4,6,5,1,7,8]=>[6,2,3,5,4,1,7,8]=>[8,7,1,4,5,3,2,6]=>[[[.,[[[.,.],.],[.,[.,.]]]],.],.]
[3,5,4,2,6,1,7,8]=>[6,4,3,2,5,1,7,8]=>[8,7,1,5,2,3,4,6]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[1,6,5,4,3,2,7,8]=>[1,6,5,4,3,2,7,8]=>[8,7,2,3,4,5,6,1]=>[[[[.,.],[.,[.,[.,[.,.]]]]],.],.]
[1,5,6,4,3,2,7,8]=>[1,6,5,4,3,2,7,8]=>[8,7,2,3,4,5,6,1]=>[[[[.,.],[.,[.,[.,[.,.]]]]],.],.]
[1,4,6,5,3,2,7,8]=>[1,6,5,4,3,2,7,8]=>[8,7,2,3,4,5,6,1]=>[[[[.,.],[.,[.,[.,[.,.]]]]],.],.]
[1,5,4,6,3,2,7,8]=>[1,6,5,4,3,2,7,8]=>[8,7,2,3,4,5,6,1]=>[[[[.,.],[.,[.,[.,[.,.]]]]],.],.]
[1,4,5,6,3,2,7,8]=>[1,6,5,4,3,2,7,8]=>[8,7,2,3,4,5,6,1]=>[[[[.,.],[.,[.,[.,[.,.]]]]],.],.]
[1,3,5,6,4,2,7,8]=>[1,6,5,4,3,2,7,8]=>[8,7,2,3,4,5,6,1]=>[[[[.,.],[.,[.,[.,[.,.]]]]],.],.]
[1,4,3,6,5,2,7,8]=>[1,6,3,5,4,2,7,8]=>[8,7,2,4,5,3,6,1]=>[[[[.,.],[[.,.],[.,[.,.]]]],.],.]
[1,4,3,5,6,2,7,8]=>[1,6,3,4,5,2,7,8]=>[8,7,2,5,4,3,6,1]=>[[[[.,.],[[[.,.],.],[.,.]]],.],.]
[1,3,4,5,6,2,7,8]=>[1,6,3,4,5,2,7,8]=>[8,7,2,5,4,3,6,1]=>[[[[.,.],[[[.,.],.],[.,.]]],.],.]
[2,1,5,6,4,3,7,8]=>[2,1,6,5,4,3,7,8]=>[8,7,3,4,5,6,1,2]=>[[[[.,[.,.]],[.,[.,[.,.]]]],.],.]
[2,1,4,6,5,3,7,8]=>[2,1,6,5,4,3,7,8]=>[8,7,3,4,5,6,1,2]=>[[[[.,[.,.]],[.,[.,[.,.]]]],.],.]
[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]=>[8,7,4,5,6,1,2,3]=>[[[[.,[.,[.,.]]],[.,[.,.]]],.],.]
[3,2,1,5,6,4,7,8]=>[3,2,1,6,5,4,7,8]=>[8,7,4,5,6,1,2,3]=>[[[[.,[.,[.,.]]],[.,[.,.]]],.],.]
[2,3,1,6,5,4,7,8]=>[3,2,1,6,5,4,7,8]=>[8,7,4,5,6,1,2,3]=>[[[[.,[.,[.,.]]],[.,[.,.]]],.],.]
[2,3,1,5,6,4,7,8]=>[3,2,1,6,5,4,7,8]=>[8,7,4,5,6,1,2,3]=>[[[[.,[.,[.,.]]],[.,[.,.]]],.],.]
[1,3,2,6,5,4,7,8]=>[1,3,2,6,5,4,7,8]=>[8,7,4,5,6,2,3,1]=>[[[[[.,.],[.,.]],[.,[.,.]]],.],.]
[1,3,2,5,6,4,7,8]=>[1,3,2,6,5,4,7,8]=>[8,7,4,5,6,2,3,1]=>[[[[[.,.],[.,.]],[.,[.,.]]],.],.]
[1,2,3,6,5,4,7,8]=>[1,2,3,6,5,4,7,8]=>[8,7,4,5,6,3,2,1]=>[[[[[[.,.],.],.],[.,[.,.]]],.],.]
[1,2,3,5,6,4,7,8]=>[1,2,3,6,5,4,7,8]=>[8,7,4,5,6,3,2,1]=>[[[[[[.,.],.],.],[.,[.,.]]],.],.]
[4,3,2,1,6,5,7,8]=>[4,3,2,1,6,5,7,8]=>[8,7,5,6,1,2,3,4]=>[[[[.,[.,[.,[.,.]]]],[.,.]],.],.]
[2,4,3,1,6,5,7,8]=>[4,3,2,1,6,5,7,8]=>[8,7,5,6,1,2,3,4]=>[[[[.,[.,[.,[.,.]]]],[.,.]],.],.]
[2,1,4,3,6,5,7,8]=>[2,1,4,3,6,5,7,8]=>[8,7,5,6,3,4,1,2]=>[[[[[.,[.,.]],[.,.]],[.,.]],.],.]
[1,2,4,3,6,5,7,8]=>[1,2,4,3,6,5,7,8]=>[8,7,5,6,3,4,2,1]=>[[[[[[.,.],.],[.,.]],[.,.]],.],.]
[1,3,2,4,6,5,7,8]=>[1,3,2,4,6,5,7,8]=>[8,7,5,6,4,2,3,1]=>[[[[[[.,.],[.,.]],.],[.,.]],.],.]
[2,1,3,4,6,5,7,8]=>[2,1,3,4,6,5,7,8]=>[8,7,5,6,4,3,1,2]=>[[[[[[.,[.,.]],.],.],[.,.]],.],.]
[1,2,3,4,6,5,7,8]=>[1,2,3,4,6,5,7,8]=>[8,7,5,6,4,3,2,1]=>[[[[[[[.,.],.],.],.],[.,.]],.],.]
[3,5,4,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[8,7,6,1,2,3,4,5]=>[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]
[2,5,4,3,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[8,7,6,1,2,3,4,5]=>[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]
[2,4,5,3,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[8,7,6,1,2,3,4,5]=>[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]
[3,2,5,4,1,6,7,8]=>[5,2,4,3,1,6,7,8]=>[8,7,6,1,3,4,2,5]=>[[[[.,[[.,.],[.,[.,.]]]],.],.],.]
[2,3,5,4,1,6,7,8]=>[5,2,4,3,1,6,7,8]=>[8,7,6,1,3,4,2,5]=>[[[[.,[[.,.],[.,[.,.]]]],.],.],.]
[2,4,3,5,1,6,7,8]=>[5,3,2,4,1,6,7,8]=>[8,7,6,1,4,2,3,5]=>[[[[.,[[.,[.,.]],[.,.]]],.],.],.]
[1,5,4,3,2,6,7,8]=>[1,5,4,3,2,6,7,8]=>[8,7,6,2,3,4,5,1]=>[[[[[.,.],[.,[.,[.,.]]]],.],.],.]
[1,4,5,3,2,6,7,8]=>[1,5,4,3,2,6,7,8]=>[8,7,6,2,3,4,5,1]=>[[[[[.,.],[.,[.,[.,.]]]],.],.],.]
[1,3,5,4,2,6,7,8]=>[1,5,4,3,2,6,7,8]=>[8,7,6,2,3,4,5,1]=>[[[[[.,.],[.,[.,[.,.]]]],.],.],.]
[2,1,5,4,3,6,7,8]=>[2,1,5,4,3,6,7,8]=>[8,7,6,3,4,5,1,2]=>[[[[[.,[.,.]],[.,[.,.]]],.],.],.]
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[1,2,5,4,3,6,7,8]=>[1,2,5,4,3,6,7,8]=>[8,7,6,3,4,5,2,1]=>[[[[[[.,.],.],[.,[.,.]]],.],.],.]
[1,2,4,5,3,6,7,8]=>[1,2,5,4,3,6,7,8]=>[8,7,6,3,4,5,2,1]=>[[[[[[.,.],.],[.,[.,.]]],.],.],.]
[3,2,1,5,4,6,7,8]=>[3,2,1,5,4,6,7,8]=>[8,7,6,4,5,1,2,3]=>[[[[[.,[.,[.,.]]],[.,.]],.],.],.]
[2,3,1,5,4,6,7,8]=>[3,2,1,5,4,6,7,8]=>[8,7,6,4,5,1,2,3]=>[[[[[.,[.,[.,.]]],[.,.]],.],.],.]
[1,3,2,5,4,6,7,8]=>[1,3,2,5,4,6,7,8]=>[8,7,6,4,5,2,3,1]=>[[[[[[.,.],[.,.]],[.,.]],.],.],.]
[2,1,3,5,4,6,7,8]=>[2,1,3,5,4,6,7,8]=>[8,7,6,4,5,3,1,2]=>[[[[[[.,[.,.]],.],[.,.]],.],.],.]
[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]=>[8,7,6,5,1,2,3,4]=>[[[[[.,[.,[.,[.,.]]]],.],.],.],.]
[1,4,3,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>[8,7,6,5,2,3,4,1]=>[[[[[[.,.],[.,[.,.]]],.],.],.],.]
[1,3,4,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>[8,7,6,5,2,3,4,1]=>[[[[[[.,.],[.,[.,.]]],.],.],.],.]
[2,1,4,3,5,6,7,8]=>[2,1,4,3,5,6,7,8]=>[8,7,6,5,3,4,1,2]=>[[[[[[.,[.,.]],[.,.]],.],.],.],.]
[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[8,7,6,5,3,4,2,1]=>[[[[[[[.,.],.],[.,.]],.],.],.],.]
[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[8,7,6,5,4,2,3,1]=>[[[[[[[.,.],[.,.]],.],.],.],.],.]
[1,2,3,4,8,6,7,5]=>[1,2,3,4,8,7,6,5]=>[5,6,7,8,4,3,2,1]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]
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[1,2,3,7,5,6,4,8]=>[1,2,3,7,6,5,4,8]=>[8,4,5,6,7,3,2,1]=>[[[[[.,.],.],.],[.,[.,[.,.]]]],.]
[1,2,3,7,5,6,8,4]=>[1,2,3,8,6,5,7,4]=>[4,7,5,6,8,3,2,1]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]
[1,2,3,8,5,6,7,4]=>[1,2,3,8,7,6,5,4]=>[4,5,6,7,8,3,2,1]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[1,2,3,8,5,7,6,4]=>[1,2,3,8,7,6,5,4]=>[4,5,6,7,8,3,2,1]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[1,2,3,8,6,5,7,4]=>[1,2,3,8,7,6,5,4]=>[4,5,6,7,8,3,2,1]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[1,2,3,8,6,7,5,4]=>[1,2,3,8,7,6,5,4]=>[4,5,6,7,8,3,2,1]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[1,2,4,3,8,6,7,5]=>[1,2,4,3,8,7,6,5]=>[5,6,7,8,3,4,2,1]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]
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[1,2,4,8,5,6,7,3]=>[1,2,8,7,5,6,4,3]=>[3,4,6,5,7,8,2,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
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[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]=>[3,7,6,4,5,8,2,1]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]
[1,2,6,4,5,8,7,3]=>[1,2,8,5,4,7,6,3]=>[3,6,7,4,5,8,2,1]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]
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[1,2,8,4,6,7,5,3]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,2,8,4,7,6,5,3]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,2,7,5,4,6,3,8]=>[1,2,7,6,5,4,3,8]=>[8,3,4,5,6,7,2,1]=>[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]
[1,2,8,5,4,6,7,3]=>[1,2,8,7,5,6,4,3]=>[3,4,6,5,7,8,2,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[1,2,8,5,4,7,6,3]=>[1,2,8,7,5,6,4,3]=>[3,4,6,5,7,8,2,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[1,2,8,5,6,4,7,3]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,2,8,5,6,7,4,3]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,2,8,6,5,4,7,3]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,2,8,6,5,7,4,3]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,2,8,7,5,6,4,3]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,3,2,4,8,6,7,5]=>[1,3,2,4,8,7,6,5]=>[5,6,7,8,4,2,3,1]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]
[1,3,2,7,5,6,8,4]=>[1,3,2,8,6,5,7,4]=>[4,7,5,6,8,2,3,1]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[1,3,2,8,5,7,6,4]=>[1,3,2,8,7,6,5,4]=>[4,5,6,7,8,2,3,1]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]
[1,3,2,8,6,5,7,4]=>[1,3,2,8,7,6,5,4]=>[4,5,6,7,8,2,3,1]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]
[1,3,2,8,6,7,5,4]=>[1,3,2,8,7,6,5,4]=>[4,5,6,7,8,2,3,1]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]
[1,3,4,2,8,6,7,5]=>[1,4,3,2,8,7,6,5]=>[5,6,7,8,2,3,4,1]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]
[1,3,4,5,8,6,7,2]=>[1,8,3,4,7,6,5,2]=>[2,5,6,7,4,3,8,1]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[1,3,4,8,5,6,7,2]=>[1,8,3,7,5,6,4,2]=>[2,4,6,5,7,3,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,3,4,8,6,5,7,2]=>[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,3,4,8,6,7,5,2]=>[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,3,6,4,5,2,8,7]=>[1,6,5,4,3,2,8,7]=>[7,8,2,3,4,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]
[1,3,6,4,5,7,2,8]=>[1,7,5,4,3,6,2,8]=>[8,2,6,3,4,5,7,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[1,3,6,4,5,7,8,2]=>[1,8,5,4,3,6,7,2]=>[2,7,6,3,4,5,8,1]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[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]=>[2,7,3,5,4,6,8,1]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[1,3,8,4,5,6,7,2]=>[1,8,7,4,5,6,3,2]=>[2,3,6,5,4,7,8,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[1,3,8,4,6,5,7,2]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,3,8,4,6,7,5,2]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,3,8,5,4,6,7,2]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,3,8,5,4,7,6,2]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,3,8,5,6,7,4,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,3,8,5,7,6,4,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,3,8,6,5,7,4,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,3,8,7,5,6,4,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,4,3,2,8,6,7,5]=>[1,4,3,2,8,7,6,5]=>[5,6,7,8,2,3,4,1]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]
[1,4,3,5,8,6,7,2]=>[1,8,3,4,7,6,5,2]=>[2,5,6,7,4,3,8,1]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[1,4,3,8,5,6,7,2]=>[1,8,3,7,5,6,4,2]=>[2,4,6,5,7,3,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,4,3,8,5,7,6,2]=>[1,8,3,7,5,6,4,2]=>[2,4,6,5,7,3,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,4,3,8,6,5,7,2]=>[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,4,3,8,6,7,5,2]=>[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,5,3,4,2,6,7,8]=>[1,5,4,3,2,6,7,8]=>[8,7,6,2,3,4,5,1]=>[[[[[.,.],[.,[.,[.,.]]]],.],.],.]
[1,5,3,4,2,7,8,6]=>[1,5,4,3,2,8,7,6]=>[6,7,8,2,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]
[1,5,3,4,2,8,7,6]=>[1,5,4,3,2,8,7,6]=>[6,7,8,2,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]
[1,5,3,4,6,7,8,2]=>[1,8,4,3,5,6,7,2]=>[2,7,6,5,3,4,8,1]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]
[1,6,3,4,5,2,7,8]=>[1,6,5,4,3,2,7,8]=>[8,7,2,3,4,5,6,1]=>[[[[.,.],[.,[.,[.,[.,.]]]]],.],.]
[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]=>[2,7,3,5,4,6,8,1]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[1,8,3,4,5,6,7,2]=>[1,8,7,4,5,6,3,2]=>[2,3,6,5,4,7,8,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[1,8,3,4,6,7,5,2]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,8,3,4,7,6,5,2]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,6,3,5,4,2,7,8]=>[1,6,5,4,3,2,7,8]=>[8,7,2,3,4,5,6,1]=>[[[[.,.],[.,[.,[.,[.,.]]]]],.],.]
[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]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,8,3,5,4,7,6,2]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,8,3,5,6,4,7,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,3,5,6,7,4,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,3,5,7,6,4,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,3,7,5,6,4,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,6,4,3,5,2,7,8]=>[1,6,5,4,3,2,7,8]=>[8,7,2,3,4,5,6,1]=>[[[[.,.],[.,[.,[.,[.,.]]]]],.],.]
[1,8,4,3,5,6,7,2]=>[1,8,7,4,5,6,3,2]=>[2,3,6,5,4,7,8,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[1,8,4,3,5,7,6,2]=>[1,8,7,4,5,6,3,2]=>[2,3,6,5,4,7,8,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[1,7,4,3,6,5,8,2]=>[1,8,6,4,5,3,7,2]=>[2,7,3,5,4,6,8,1]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[1,8,4,3,6,5,7,2]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,8,4,3,6,7,5,2]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,6,4,5,3,2,7,8]=>[1,6,5,4,3,2,7,8]=>[8,7,2,3,4,5,6,1]=>[[[[.,.],[.,[.,[.,[.,.]]]]],.],.]
[1,6,4,5,3,2,8,7]=>[1,6,5,4,3,2,8,7]=>[7,8,2,3,4,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]
[1,8,4,5,3,6,7,2]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[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]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,4,5,6,7,3,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,4,6,5,7,3,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,4,7,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,8,5,4,3,7,6,2]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,8,5,4,6,3,7,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,5,4,6,7,3,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,5,4,7,6,3,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,6,4,5,7,3,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,6,5,4,3,7,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,6,5,4,7,3,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,7,5,6,4,3,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,1,3,4,8,6,7,5]=>[2,1,3,4,8,7,6,5]=>[5,6,7,8,4,3,1,2]=>[[[[.,[.,.]],.],.],[.,[.,[.,.]]]]
[2,1,3,5,8,6,7,4]=>[2,1,3,8,7,6,5,4]=>[4,5,6,7,8,3,1,2]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]
[2,1,3,8,5,6,7,4]=>[2,1,3,8,7,6,5,4]=>[4,5,6,7,8,3,1,2]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]
[2,1,3,8,5,7,6,4]=>[2,1,3,8,7,6,5,4]=>[4,5,6,7,8,3,1,2]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]
[2,1,3,8,6,5,7,4]=>[2,1,3,8,7,6,5,4]=>[4,5,6,7,8,3,1,2]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]
[2,1,3,8,6,7,5,4]=>[2,1,3,8,7,6,5,4]=>[4,5,6,7,8,3,1,2]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]
[2,1,4,3,8,6,7,5]=>[2,1,4,3,8,7,6,5]=>[5,6,7,8,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]
[2,1,4,8,5,6,7,3]=>[2,1,8,7,5,6,4,3]=>[3,4,6,5,7,8,1,2]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[2,1,4,8,5,7,6,3]=>[2,1,8,7,5,6,4,3]=>[3,4,6,5,7,8,1,2]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[2,1,4,8,6,5,7,3]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,4,8,6,7,5,3]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,6,4,5,3,8,7]=>[2,1,6,5,4,3,8,7]=>[7,8,3,4,5,6,1,2]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]
[2,1,6,4,5,8,7,3]=>[2,1,8,5,4,7,6,3]=>[3,6,7,4,5,8,1,2]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[2,1,8,4,5,6,7,3]=>[2,1,8,7,5,6,4,3]=>[3,4,6,5,7,8,1,2]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[2,1,8,4,5,7,6,3]=>[2,1,8,7,5,6,4,3]=>[3,4,6,5,7,8,1,2]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[2,1,7,4,6,5,8,3]=>[2,1,8,6,5,4,7,3]=>[3,7,4,5,6,8,1,2]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[2,1,8,4,6,5,7,3]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,8,4,6,7,5,3]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,8,4,7,6,5,3]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,7,5,4,6,8,3]=>[2,1,8,6,5,4,7,3]=>[3,7,4,5,6,8,1,2]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[2,1,8,5,4,6,7,3]=>[2,1,8,7,5,6,4,3]=>[3,4,6,5,7,8,1,2]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[2,1,8,5,4,7,6,3]=>[2,1,8,7,5,6,4,3]=>[3,4,6,5,7,8,1,2]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[2,1,7,5,6,4,8,3]=>[2,1,8,6,5,4,7,3]=>[3,7,4,5,6,8,1,2]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[2,1,8,5,6,4,7,3]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,8,5,6,7,4,3]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,8,5,7,6,4,3]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,8,6,5,4,7,3]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,8,6,5,7,4,3]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,3,1,5,8,6,7,4]=>[3,2,1,8,7,6,5,4]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[2,3,1,7,5,6,4,8]=>[3,2,1,7,6,5,4,8]=>[8,4,5,6,7,1,2,3]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[2,3,1,8,5,6,7,4]=>[3,2,1,8,7,6,5,4]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[2,3,1,8,6,7,5,4]=>[3,2,1,8,7,6,5,4]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[2,3,4,1,8,6,7,5]=>[4,2,3,1,8,7,6,5]=>[5,6,7,8,1,3,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]
[2,3,4,5,8,6,7,1]=>[8,2,3,4,7,6,5,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[2,3,4,7,5,6,1,8]=>[7,2,3,6,5,4,1,8]=>[8,1,4,5,6,3,2,7]=>[[.,[[[.,.],.],[.,[.,[.,.]]]]],.]
[2,3,4,8,5,6,7,1]=>[8,2,3,7,5,6,4,1]=>[1,4,6,5,7,3,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[2,3,4,8,5,7,6,1]=>[8,2,3,7,5,6,4,1]=>[1,4,6,5,7,3,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[2,3,4,8,6,5,7,1]=>[8,2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[2,3,4,8,6,7,5,1]=>[8,2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[2,3,5,4,8,6,7,1]=>[8,2,4,3,7,6,5,1]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[2,3,6,4,5,1,7,8]=>[6,2,5,4,3,1,7,8]=>[8,7,1,3,4,5,2,6]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[2,3,6,4,5,1,8,7]=>[6,2,5,4,3,1,8,7]=>[7,8,1,3,4,5,2,6]=>[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]
[2,3,6,4,5,7,8,1]=>[8,2,5,4,3,6,7,1]=>[1,7,6,3,4,5,2,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[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]=>[1,3,6,5,4,7,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[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]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[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]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,3,8,5,6,7,4,1]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,3,8,5,7,6,4,1]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,3,8,6,5,4,7,1]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,4,3,1,8,6,7,5]=>[4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[2,4,3,5,8,6,7,1]=>[8,3,2,4,7,6,5,1]=>[1,5,6,7,4,2,3,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[2,4,3,8,5,6,7,1]=>[8,3,2,7,5,6,4,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[2,4,3,8,5,7,6,1]=>[8,3,2,7,5,6,4,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[2,4,3,8,6,5,7,1]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[2,4,3,8,6,7,5,1]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[2,5,3,4,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[8,7,6,1,2,3,4,5]=>[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]
[2,5,3,4,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[2,5,3,4,6,7,1,8]=>[7,4,3,2,5,6,1,8]=>[8,1,6,5,2,3,4,7]=>[[.,[[[.,[.,[.,.]]],.],[.,.]]],.]
[2,5,3,4,7,6,8,1]=>[8,4,3,2,6,5,7,1]=>[1,7,5,6,2,3,4,8]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[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]=>[8,7,1,2,4,3,5,6]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[2,6,3,4,5,7,8,1]=>[8,5,3,4,2,6,7,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]
[2,7,3,4,5,6,1,8]=>[7,6,3,4,5,2,1,8]=>[8,1,2,5,4,3,6,7]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[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]=>[8,7,1,2,4,3,5,6]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[2,6,3,5,4,1,8,7]=>[6,5,3,4,2,1,8,7]=>[7,8,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]
[2,6,3,5,4,7,8,1]=>[8,5,3,4,2,6,7,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]
[2,7,3,5,4,6,8,1]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[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]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[2,8,3,5,6,7,4,1]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,8,3,5,7,6,4,1]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,7,3,6,5,4,1,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[2,8,3,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,8,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[2,6,4,3,5,7,8,1]=>[8,5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[2,6,4,3,5,8,7,1]=>[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[2,7,4,3,5,6,8,1]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[2,8,4,3,5,6,7,1]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[2,8,4,3,5,7,6,1]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[2,7,4,3,6,5,8,1]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[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]=>[8,7,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[2,6,4,5,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[2,6,4,5,3,7,8,1]=>[8,5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[2,6,4,5,3,8,7,1]=>[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[2,8,4,5,3,6,7,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,7,4,5,6,3,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[2,7,4,5,6,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[2,7,4,6,5,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[2,8,5,4,3,6,7,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,8,5,4,3,7,6,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,7,5,4,6,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[5,6,7,8,4,1,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]
[3,2,1,5,8,6,7,4]=>[3,2,1,8,7,6,5,4]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[3,2,1,7,5,6,4,8]=>[3,2,1,7,6,5,4,8]=>[8,4,5,6,7,1,2,3]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[3,2,1,7,5,6,8,4]=>[3,2,1,8,6,5,7,4]=>[4,7,5,6,8,1,2,3]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[3,2,1,8,5,6,7,4]=>[3,2,1,8,7,6,5,4]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[3,2,1,8,5,7,6,4]=>[3,2,1,8,7,6,5,4]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[3,2,1,8,6,5,7,4]=>[3,2,1,8,7,6,5,4]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[3,2,1,8,6,7,5,4]=>[3,2,1,8,7,6,5,4]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[3,2,4,1,8,6,7,5]=>[4,2,3,1,8,7,6,5]=>[5,6,7,8,1,3,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]
[3,2,4,5,8,6,7,1]=>[8,2,3,4,7,6,5,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[3,2,4,8,5,6,7,1]=>[8,2,3,7,5,6,4,1]=>[1,4,6,5,7,3,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[3,2,4,8,6,7,5,1]=>[8,2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[3,2,5,4,8,6,7,1]=>[8,2,4,3,7,6,5,1]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[3,2,6,4,5,1,7,8]=>[6,2,5,4,3,1,7,8]=>[8,7,1,3,4,5,2,6]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[3,2,6,4,5,1,8,7]=>[6,2,5,4,3,1,8,7]=>[7,8,1,3,4,5,2,6]=>[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]
[3,2,6,4,5,7,1,8]=>[7,2,5,4,3,6,1,8]=>[8,1,6,3,4,5,2,7]=>[[.,[[[.,.],[.,[.,.]]],[.,.]]],.]
[3,2,7,4,5,6,1,8]=>[7,2,6,4,5,3,1,8]=>[8,1,3,5,4,6,2,7]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[3,2,8,4,5,6,7,1]=>[8,2,7,4,5,6,3,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[3,2,7,4,6,5,1,8]=>[7,2,6,4,5,3,1,8]=>[8,1,3,5,4,6,2,7]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[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]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[3,2,8,5,4,6,7,1]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[3,2,8,5,4,7,6,1]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,2,8,5,7,6,4,1]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,2,8,6,5,7,4,1]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,2,8,7,5,6,4,1]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,2,3,1,5,7,6,8]=>[4,3,2,1,5,7,6,8]=>[8,6,7,5,1,2,3,4]=>[[[[.,[.,[.,[.,.]]]],.],[.,.]],.]
[4,2,3,1,5,7,8,6]=>[4,3,2,1,5,8,7,6]=>[6,7,8,5,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]]
[4,2,3,1,5,8,7,6]=>[4,3,2,1,5,8,7,6]=>[6,7,8,5,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]]
[4,2,3,1,6,5,7,8]=>[4,3,2,1,6,5,7,8]=>[8,7,5,6,1,2,3,4]=>[[[[.,[.,[.,[.,.]]]],[.,.]],.],.]
[4,2,3,1,6,5,8,7]=>[4,3,2,1,6,5,8,7]=>[7,8,5,6,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]
[4,2,3,1,6,7,8,5]=>[4,3,2,1,8,6,7,5]=>[5,7,6,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[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]=>[8,5,6,7,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[4,2,3,1,7,6,8,5]=>[4,3,2,1,8,6,7,5]=>[5,7,6,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[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]=>[7,8,6,1,4,2,3,5]=>[[[.,[[.,[.,.]],[.,.]]],.],[.,.]]
[4,2,3,5,1,7,8,6]=>[5,3,2,4,1,8,7,6]=>[6,7,8,1,4,2,3,5]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]
[4,2,3,5,1,8,7,6]=>[5,3,2,4,1,8,7,6]=>[6,7,8,1,4,2,3,5]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]
[4,2,3,5,6,1,8,7]=>[6,3,2,4,5,1,8,7]=>[7,8,1,5,4,2,3,6]=>[[.,[[[.,[.,.]],.],[.,.]]],[.,.]]
[4,2,3,5,7,6,1,8]=>[7,3,2,4,6,5,1,8]=>[8,1,5,6,4,2,3,7]=>[[.,[[[.,[.,.]],.],[.,[.,.]]]],.]
[4,2,3,5,8,7,6,1]=>[8,3,2,4,7,6,5,1]=>[1,5,6,7,4,2,3,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[4,2,3,6,5,1,8,7]=>[6,3,2,5,4,1,8,7]=>[7,8,1,4,5,2,3,6]=>[[.,[[.,[.,.]],[.,[.,.]]]],[.,.]]
[4,2,3,6,5,8,7,1]=>[8,3,2,5,4,7,6,1]=>[1,6,7,4,5,2,3,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[4,2,3,7,5,6,1,8]=>[7,3,2,6,5,4,1,8]=>[8,1,4,5,6,2,3,7]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[4,2,3,8,5,6,7,1]=>[8,3,2,7,5,6,4,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[4,2,3,8,5,7,6,1]=>[8,3,2,7,5,6,4,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[4,2,3,8,6,7,5,1]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[4,2,3,8,7,6,5,1]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[5,2,3,4,1,6,8,7]=>[5,4,3,2,1,6,8,7]=>[7,8,6,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]]
[5,2,3,4,1,7,8,6]=>[5,4,3,2,1,8,7,6]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[5,2,3,4,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[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]=>[7,8,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]
[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]=>[8,1,2,5,4,3,6,7]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[8,2,3,4,7,6,5,1]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[6,2,3,5,4,1,7,8]=>[6,5,3,4,2,1,7,8]=>[8,7,1,2,4,3,5,6]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[6,2,3,5,4,1,8,7]=>[6,5,3,4,2,1,8,7]=>[7,8,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]
[6,2,3,5,4,7,1,8]=>[7,5,3,4,2,6,1,8]=>[8,1,6,2,4,3,5,7]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[6,2,3,5,4,7,8,1]=>[8,5,3,4,2,6,7,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]
[7,2,3,5,4,6,1,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[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]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[8,2,3,5,6,7,4,1]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,2,3,5,7,6,4,1]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,2,3,6,5,4,1,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[8,2,3,6,5,4,7,1]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,2,3,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,2,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,2,4,3,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[8,7,6,1,2,3,4,5]=>[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]
[5,2,4,3,1,6,8,7]=>[5,4,3,2,1,6,8,7]=>[7,8,6,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]]
[5,2,4,3,1,7,6,8]=>[5,4,3,2,1,7,6,8]=>[8,6,7,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[5,2,4,3,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[5,2,4,3,6,1,7,8]=>[6,4,3,2,5,1,7,8]=>[8,7,1,5,2,3,4,6]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[5,2,4,3,6,7,1,8]=>[7,4,3,2,5,6,1,8]=>[8,1,6,5,2,3,4,7]=>[[.,[[[.,[.,[.,.]]],.],[.,.]]],.]
[5,2,4,3,7,6,8,1]=>[8,4,3,2,6,5,7,1]=>[1,7,5,6,2,3,4,8]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
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[6,2,4,3,5,1,8,7]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[7,2,4,3,6,5,1,8]=>[7,6,4,3,5,2,1,8]=>[8,1,2,5,3,4,6,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[7,2,4,3,6,5,8,1]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[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]=>[8,7,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[6,2,4,5,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[6,2,4,5,3,8,7,1]=>[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[7,2,4,5,3,6,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,2,4,5,3,6,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,2,4,5,3,7,6,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,2,4,6,5,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[8,7,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[6,2,5,4,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[6,2,5,4,3,7,1,8]=>[7,5,4,3,2,6,1,8]=>[8,1,6,2,3,4,5,7]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[6,2,5,4,3,7,8,1]=>[8,5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[7,2,5,4,3,6,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,2,5,4,3,6,7,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,2,5,4,3,7,6,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,2,5,4,6,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,2,6,4,5,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,2,6,5,4,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[4,3,2,8,5,6,7,1]=>[8,3,2,7,5,6,4,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[4,3,2,8,5,7,6,1]=>[8,3,2,7,5,6,4,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[4,3,2,8,6,7,5,1]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[5,3,2,4,1,6,8,7]=>[5,4,3,2,1,6,8,7]=>[7,8,6,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]]
[5,3,2,4,1,7,6,8]=>[5,4,3,2,1,7,6,8]=>[8,6,7,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[5,3,2,4,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[8,3,2,4,6,5,7,1]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[8,3,2,4,6,7,5,1]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[8,3,2,4,7,6,5,1]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[6,3,2,5,4,1,7,8]=>[6,5,3,4,2,1,7,8]=>[8,7,1,2,4,3,5,6]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[6,3,2,5,4,1,8,7]=>[6,5,3,4,2,1,8,7]=>[7,8,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]
[6,3,2,5,4,7,1,8]=>[7,5,3,4,2,6,1,8]=>[8,1,6,2,4,3,5,7]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[6,3,2,5,4,7,8,1]=>[8,5,3,4,2,6,7,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]
[7,3,2,5,4,6,1,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[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]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[8,3,2,5,6,4,7,1]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,3,2,5,6,7,4,1]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,3,2,5,7,6,4,1]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,3,2,6,5,7,4,1]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,3,2,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,3,4,2,1,6,8,7]=>[5,4,3,2,1,6,8,7]=>[7,8,6,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]]
[5,3,4,2,1,7,8,6]=>[5,4,3,2,1,8,7,6]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[5,3,4,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[5,3,4,2,7,6,8,1]=>[8,4,3,2,6,5,7,1]=>[1,7,5,6,2,3,4,8]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[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]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[7,3,4,2,6,5,1,8]=>[7,6,4,3,5,2,1,8]=>[8,1,2,5,3,4,6,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[7,3,4,2,6,5,8,1]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[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]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[6,3,4,5,2,8,7,1]=>[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[8,3,4,5,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[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]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[6,3,5,4,2,7,1,8]=>[7,5,4,3,2,6,1,8]=>[8,1,6,2,3,4,5,7]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[6,3,5,4,2,7,8,1]=>[8,5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[6,3,5,4,2,8,7,1]=>[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[7,3,5,4,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,3,5,4,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,3,5,4,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,3,5,4,6,2,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,3,5,4,6,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,3,5,4,6,7,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
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[7,3,6,4,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,3,6,4,5,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,3,6,5,4,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[6,4,3,2,5,8,7,1]=>[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[8,4,3,2,5,7,6,1]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[7,4,3,2,6,5,1,8]=>[7,6,4,3,5,2,1,8]=>[8,1,2,5,3,4,6,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[7,4,3,2,6,5,8,1]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[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]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[8,4,3,5,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,4,3,6,5,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[8,5,3,4,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,6,3,5,4,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[7,8,5,6,2,1,4,3]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]
[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]=>[7,8,4,2,6,1,5,3]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]
[2,4,6,1,3,5,8,7]=>[4,5,6,1,2,3,8,7]=>[7,8,3,2,1,6,5,4]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]
[2,1,4,3,6,8,5,7]=>[2,1,4,3,7,8,5,6]=>[6,5,8,7,3,4,1,2]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]
[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]=>[6,4,8,3,7,5,1,2]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]
[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]=>[6,3,8,2,1,7,5,4]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]
[2,1,4,6,8,3,5,7]=>[2,1,6,7,8,3,4,5]=>[5,4,3,8,7,6,1,2]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]
[2,4,1,6,8,3,5,7]=>[3,6,1,7,8,2,4,5]=>[5,4,2,8,7,1,6,3]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]
[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]=>[8,7,5,6,2,1,4,3]=>[[[[[.,.],[[.,.],.]],[.,.]],.],.]
[2,1,4,6,3,5,7,8]=>[2,1,5,6,3,4,7,8]=>[8,7,4,3,6,5,1,2]=>[[[[[.,[.,.]],.],[[.,.],.]],.],.]
[2,4,1,6,3,5,7,8]=>[3,5,1,6,2,4,7,8]=>[8,7,4,2,6,1,5,3]=>[[[[[.,.],[.,.]],[[.,.],.]],.],.]
[2,4,6,1,3,5,7,8]=>[4,5,6,1,2,3,7,8]=>[8,7,3,2,1,6,5,4]=>[[[[[.,.],.],[[[.,.],.],.]],.],.]
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[2,4,6,1,3,7,5,8]=>[4,5,7,1,2,6,3,8]=>[8,3,6,2,1,7,5,4]=>[[[[.,.],.],[[[.,.],.],[.,.]]],.]
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[2,4,6,1,3,7,8,5]=>[4,5,8,1,2,6,7,3]=>[3,7,6,2,1,8,5,4]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]
[2,4,1,6,7,3,8,5]=>[3,6,1,8,5,2,7,4]=>[4,7,2,5,8,1,6,3]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[2,4,6,1,7,3,8,5]=>[4,6,8,1,5,2,7,3]=>[3,7,2,5,1,8,6,4]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]
[2,4,6,7,1,3,8,5]=>[5,6,8,4,1,2,7,3]=>[3,7,2,1,4,8,6,5]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]
[2,1,4,6,7,8,3,5]=>[2,1,7,8,5,6,3,4]=>[4,3,6,5,8,7,1,2]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]
[2,4,1,6,7,8,3,5]=>[3,7,1,8,5,6,2,4]=>[4,2,6,5,8,1,7,3]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[2,4,6,1,7,8,3,5]=>[4,7,8,1,5,6,2,3]=>[3,2,6,5,1,8,7,4]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]
[2,4,6,7,1,8,3,5]=>[5,7,8,4,1,6,2,3]=>[3,2,6,1,4,8,7,5]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]
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[2,4,1,3,7,5,8,6]=>[3,4,1,2,8,6,7,5]=>[5,7,6,8,2,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]
[2,1,4,7,3,5,8,6]=>[2,1,5,8,3,6,7,4]=>[4,7,6,3,8,5,1,2]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]
[2,4,1,7,3,5,8,6]=>[3,5,1,8,2,6,7,4]=>[4,7,6,2,8,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[2,4,7,1,3,5,8,6]=>[4,5,8,1,2,6,7,3]=>[3,7,6,2,1,8,5,4]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]
[2,1,4,3,7,8,5,6]=>[2,1,4,3,8,7,6,5]=>[5,6,7,8,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]
[2,4,1,3,7,8,5,6]=>[3,4,1,2,8,7,6,5]=>[5,6,7,8,2,1,4,3]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]
[2,4,1,7,3,8,5,6]=>[3,5,1,8,2,7,6,4]=>[4,6,7,2,8,1,5,3]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[2,4,7,1,3,8,5,6]=>[4,5,8,1,2,7,6,3]=>[3,6,7,2,1,8,5,4]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]
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[2,4,1,7,8,3,5,6]=>[3,6,1,8,7,2,5,4]=>[4,5,2,7,8,1,6,3]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]
[2,4,7,1,8,3,5,6]=>[4,6,8,1,7,2,5,3]=>[3,5,2,7,1,8,6,4]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[2,4,7,8,1,3,5,6]=>[5,6,8,7,1,2,4,3]=>[3,4,2,1,7,8,6,5]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]
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[2,4,5,1,3,7,6,8]=>[4,5,3,1,2,7,6,8]=>[8,6,7,2,1,3,5,4]=>[[[[.,.],[.,[[.,.],.]]],[.,.]],.]
[2,4,5,1,7,3,6,8]=>[4,6,3,1,7,2,5,8]=>[8,5,2,7,1,3,6,4]=>[[[[.,.],[.,[.,.]]],[[.,.],.]],.]
[2,4,1,3,5,7,8,6]=>[3,4,1,2,5,8,7,6]=>[6,7,8,5,2,1,4,3]=>[[[[.,.],[[.,.],.]],.],[.,[.,.]]]
[2,1,4,5,7,3,8,6]=>[2,1,6,4,8,3,7,5]=>[5,7,3,8,4,6,1,2]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[2,4,1,5,7,3,8,6]=>[3,6,1,4,8,2,7,5]=>[5,7,2,8,4,1,6,3]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]
[2,4,5,1,7,3,8,6]=>[4,6,3,1,8,2,7,5]=>[5,7,2,8,1,3,6,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[2,4,5,7,1,3,8,6]=>[5,6,3,8,1,2,7,4]=>[4,7,2,1,8,3,6,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[2,1,4,5,7,8,3,6]=>[2,1,7,4,8,6,3,5]=>[5,3,6,8,4,7,1,2]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]
[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]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
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[2,4,1,3,8,5,6,7]=>[3,4,1,2,8,6,7,5]=>[5,7,6,8,2,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]
[2,1,4,8,3,5,6,7]=>[2,1,5,8,3,6,7,4]=>[4,7,6,3,8,5,1,2]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]
[2,4,1,8,3,5,6,7]=>[3,5,1,8,2,6,7,4]=>[4,7,6,2,8,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[2,4,8,1,3,5,6,7]=>[4,5,8,1,2,6,7,3]=>[3,7,6,2,1,8,5,4]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]
[2,1,4,3,5,8,6,7]=>[2,1,4,3,5,8,7,6]=>[6,7,8,5,3,4,1,2]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]
[2,1,4,5,8,3,6,7]=>[2,1,6,4,8,3,7,5]=>[5,7,3,8,4,6,1,2]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[2,4,1,5,8,3,6,7]=>[3,6,1,4,8,2,7,5]=>[5,7,2,8,4,1,6,3]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]
[2,4,5,1,8,3,6,7]=>[4,6,3,1,8,2,7,5]=>[5,7,2,8,1,3,6,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[2,4,5,8,1,3,6,7]=>[5,6,3,8,1,2,7,4]=>[4,7,2,1,8,3,6,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[2,4,1,5,3,6,8,7]=>[3,5,1,4,2,6,8,7]=>[7,8,6,2,4,1,5,3]=>[[[[.,.],[[.,.],[.,.]]],.],[.,.]]
[2,4,1,5,6,3,8,7]=>[3,6,1,4,5,2,8,7]=>[7,8,2,5,4,1,6,3]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]
[2,4,5,6,1,3,8,7]=>[5,6,3,4,1,2,8,7]=>[7,8,2,1,4,3,6,5]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]
[2,1,4,5,6,8,3,7]=>[2,1,7,4,5,8,3,6]=>[6,3,8,5,4,7,1,2]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]
[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]=>[6,2,8,5,1,3,7,4]=>[[[.,.],[[.,[.,.]],.]],[[.,.],.]]
[2,4,5,6,1,8,3,7]=>[5,7,3,4,1,8,2,6]=>[6,2,8,1,4,3,7,5]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]
[2,4,5,6,8,1,3,7]=>[6,7,3,4,8,1,2,5]=>[5,2,1,8,4,3,7,6]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]
[2,4,1,3,5,6,7,8]=>[3,4,1,2,5,6,7,8]=>[8,7,6,5,2,1,4,3]=>[[[[[[.,.],[[.,.],.]],.],.],.],.]
[2,4,5,1,6,3,7,8]=>[4,6,3,1,5,2,7,8]=>[8,7,2,5,1,3,6,4]=>[[[[.,.],[[.,[.,.]],[.,.]]],.],.]
[2,4,5,6,1,3,7,8]=>[5,6,3,4,1,2,7,8]=>[8,7,2,1,4,3,6,5]=>[[[[.,.],[[.,.],[[.,.],.]]],.],.]
[2,4,5,1,6,7,3,8]=>[4,7,3,1,5,6,2,8]=>[8,2,6,5,1,3,7,4]=>[[[.,.],[[[.,[.,.]],.],[.,.]]],.]
[2,4,5,6,1,7,3,8]=>[5,7,3,4,1,6,2,8]=>[8,2,6,1,4,3,7,5]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[2,4,5,6,7,1,3,8]=>[6,7,3,4,5,1,2,8]=>[8,2,1,5,4,3,7,6]=>[[[.,.],[[[.,.],.],[[.,.],.]]],.]
[2,4,5,1,6,7,8,3]=>[4,8,3,1,5,6,7,2]=>[2,7,6,5,1,3,8,4]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]
[2,4,5,6,1,7,8,3]=>[5,8,3,4,1,6,7,2]=>[2,7,6,1,4,3,8,5]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]
[2,4,5,6,7,1,8,3]=>[6,8,3,4,5,1,7,2]=>[2,7,1,5,4,3,8,6]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]
[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]=>[7,8,2,5,4,1,6,3]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]
[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]=>[7,8,2,4,5,1,6,3]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]
[2,5,6,1,3,4,8,7]=>[4,6,5,1,3,2,8,7]=>[7,8,2,3,1,5,6,4]=>[[[.,.],[.,[[.,.],[.,.]]]],[.,.]]
[2,1,5,3,6,8,4,7]=>[2,1,7,4,5,8,3,6]=>[6,3,8,5,4,7,1,2]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]
[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]=>[6,2,8,3,1,5,7,4]=>[[[.,.],[.,[[.,.],.]]],[[.,.],.]]
[2,1,5,6,8,3,4,7]=>[2,1,7,6,8,4,3,5]=>[5,3,4,8,6,7,1,2]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]
[2,5,1,6,8,3,4,7]=>[3,7,1,6,8,4,2,5]=>[5,2,4,8,6,1,7,3]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]]
[2,5,6,8,1,3,4,7]=>[5,7,6,8,1,3,2,4]=>[4,2,3,1,8,6,7,5]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]
[2,1,5,6,3,4,7,8]=>[2,1,6,5,4,3,7,8]=>[8,7,3,4,5,6,1,2]=>[[[[.,[.,.]],[.,[.,[.,.]]]],.],.]
[2,5,1,6,3,4,7,8]=>[3,6,1,5,4,2,7,8]=>[8,7,2,4,5,1,6,3]=>[[[[.,.],[[.,.],[.,[.,.]]]],.],.]
[2,5,1,6,3,7,4,8]=>[3,7,1,5,4,6,2,8]=>[8,2,6,4,5,1,7,3]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[2,5,6,1,3,7,4,8]=>[4,7,5,1,3,6,2,8]=>[8,2,6,3,1,5,7,4]=>[[[.,.],[[.,[[.,.],.]],[.,.]]],.]
[2,1,5,6,7,3,4,8]=>[2,1,7,6,5,4,3,8]=>[8,3,4,5,6,7,1,2]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[2,5,6,1,7,3,4,8]=>[4,7,6,1,5,3,2,8]=>[8,2,3,5,1,6,7,4]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[2,5,1,6,3,7,8,4]=>[3,8,1,5,4,6,7,2]=>[2,7,6,4,5,1,8,3]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]
[2,5,6,1,3,7,8,4]=>[4,8,5,1,3,6,7,2]=>[2,7,6,3,1,5,8,4]=>[[.,.],[[[.,[[.,.],.]],.],[.,.]]]
[2,1,5,6,7,3,8,4]=>[2,1,8,6,5,4,7,3]=>[3,7,4,5,6,8,1,2]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[2,5,1,6,7,3,8,4]=>[3,8,1,6,5,4,7,2]=>[2,7,4,5,6,1,8,3]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[2,5,6,7,1,3,8,4]=>[5,8,6,4,1,3,7,2]=>[2,7,3,1,4,6,8,5]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]
[2,1,5,6,7,8,3,4]=>[2,1,8,7,5,6,4,3]=>[3,4,6,5,7,8,1,2]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[2,5,1,6,7,8,3,4]=>[3,8,1,7,5,6,4,2]=>[2,4,6,5,7,1,8,3]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[2,5,6,1,7,8,3,4]=>[4,8,7,1,5,6,3,2]=>[2,3,6,5,1,7,8,4]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[2,5,6,7,1,8,3,4]=>[5,8,7,4,1,6,3,2]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[2,1,5,3,7,4,8,6]=>[2,1,6,4,8,3,7,5]=>[5,7,3,8,4,6,1,2]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[2,5,1,3,7,4,8,6]=>[3,6,1,4,8,2,7,5]=>[5,7,2,8,4,1,6,3]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]
[2,5,1,7,3,4,8,6]=>[3,6,1,8,5,2,7,4]=>[4,7,2,5,8,1,6,3]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[2,5,7,1,3,4,8,6]=>[4,6,8,1,5,2,7,3]=>[3,7,2,5,1,8,6,4]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]
[2,1,5,3,7,8,4,6]=>[2,1,7,4,8,6,3,5]=>[5,3,6,8,4,7,1,2]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]
[2,5,1,3,7,8,4,6]=>[3,7,1,4,8,6,2,5]=>[5,2,6,8,4,1,7,3]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]
[2,1,5,7,3,8,4,6]=>[2,1,7,8,5,6,3,4]=>[4,3,6,5,8,7,1,2]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]
[2,5,1,7,3,8,4,6]=>[3,7,1,8,5,6,2,4]=>[4,2,6,5,8,1,7,3]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[2,5,7,1,3,8,4,6]=>[4,7,8,1,5,6,2,3]=>[3,2,6,5,1,8,7,4]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]
[2,1,5,7,8,3,4,6]=>[2,1,7,8,6,5,3,4]=>[4,3,5,6,8,7,1,2]=>[[[.,[.,.]],.],[.,[.,[[.,.],.]]]]
[2,5,1,7,8,3,4,6]=>[3,7,1,8,6,5,2,4]=>[4,2,5,6,8,1,7,3]=>[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]
[2,5,7,1,8,3,4,6]=>[4,7,8,1,6,5,2,3]=>[3,2,5,6,1,8,7,4]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]
[2,5,7,8,1,3,4,6]=>[5,7,8,6,1,4,2,3]=>[3,2,4,1,6,8,7,5]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]]
[2,5,1,3,7,4,6,8]=>[3,6,1,4,7,2,5,8]=>[8,5,2,7,4,1,6,3]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]
[2,3,5,7,1,4,6,8]=>[5,2,6,7,1,3,4,8]=>[8,4,3,1,7,6,2,5]=>[[[[.,[.,.]],.],[[[.,.],.],.]],.]
[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]=>[4,3,6,1,8,7,2,5]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]
[2,3,5,7,8,1,4,6]=>[6,2,7,8,5,1,3,4]=>[4,3,1,5,8,7,2,6]=>[[[.,[.,.]],.],[.,[[[.,.],.],.]]]
[2,1,5,3,8,4,6,7]=>[2,1,6,4,8,3,7,5]=>[5,7,3,8,4,6,1,2]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[2,5,1,3,8,4,6,7]=>[3,6,1,4,8,2,7,5]=>[5,7,2,8,4,1,6,3]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]
[2,5,1,8,3,4,6,7]=>[3,6,1,8,5,2,7,4]=>[4,7,2,5,8,1,6,3]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[2,5,8,1,3,4,6,7]=>[4,6,8,1,5,2,7,3]=>[3,7,2,5,1,8,6,4]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]
[2,1,3,5,8,4,6,7]=>[2,1,3,6,8,4,7,5]=>[5,7,4,8,6,3,1,2]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]
[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]=>[7,8,6,3,4,5,1,2]=>[[[[.,[.,.]],[.,[.,.]]],.],[.,.]]
[2,3,5,6,1,4,8,7]=>[5,2,6,4,1,3,8,7]=>[7,8,3,1,4,6,2,5]=>[[[.,[.,.]],[.,[[.,.],.]]],[.,.]]
[2,1,3,5,6,8,4,7]=>[2,1,3,7,5,8,4,6]=>[6,4,8,5,7,3,1,2]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]
[2,3,1,5,6,8,4,7]=>[3,2,1,7,5,8,4,6]=>[6,4,8,5,7,1,2,3]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]
[2,3,5,6,1,8,4,7]=>[5,2,7,4,1,8,3,6]=>[6,3,8,1,4,7,2,5]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]
[2,3,5,6,8,1,4,7]=>[6,2,7,4,8,1,3,5]=>[5,3,1,8,4,7,2,6]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]
[2,1,5,3,4,6,7,8]=>[2,1,5,4,3,6,7,8]=>[8,7,6,3,4,5,1,2]=>[[[[[.,[.,.]],[.,[.,.]]],.],.],.]
[2,3,5,1,4,6,7,8]=>[4,2,5,1,3,6,7,8]=>[8,7,6,3,1,5,2,4]=>[[[[[.,[.,.]],[[.,.],.]],.],.],.]
[2,3,5,1,6,4,7,8]=>[4,2,6,1,5,3,7,8]=>[8,7,3,5,1,6,2,4]=>[[[[.,[.,.]],[[.,.],[.,.]]],.],.]
[2,3,5,6,1,4,7,8]=>[5,2,6,4,1,3,7,8]=>[8,7,3,1,4,6,2,5]=>[[[[.,[.,.]],[.,[[.,.],.]]],.],.]
[2,3,5,6,1,7,4,8]=>[5,2,7,4,1,6,3,8]=>[8,3,6,1,4,7,2,5]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[2,3,5,6,7,1,4,8]=>[6,2,7,4,5,1,3,8]=>[8,3,1,5,4,7,2,6]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[2,3,5,1,6,7,8,4]=>[4,2,8,1,5,6,7,3]=>[3,7,6,5,1,8,2,4]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]
[2,3,5,6,1,7,8,4]=>[5,2,8,4,1,6,7,3]=>[3,7,6,1,4,8,2,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[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]=>[3,1,6,5,4,8,2,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[2,1,6,3,7,4,8,5]=>[2,1,8,4,6,5,7,3]=>[3,7,5,6,4,8,1,2]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[2,1,6,7,3,4,8,5]=>[2,1,8,6,5,4,7,3]=>[3,7,4,5,6,8,1,2]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[2,6,1,7,3,4,8,5]=>[3,8,1,6,5,4,7,2]=>[2,7,4,5,6,1,8,3]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[2,6,7,1,3,4,8,5]=>[4,8,6,1,5,3,7,2]=>[2,7,3,5,1,6,8,4]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[2,1,6,7,3,8,4,5]=>[2,1,8,7,5,6,4,3]=>[3,4,6,5,7,8,1,2]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[2,6,1,7,3,8,4,5]=>[3,8,1,7,5,6,4,2]=>[2,4,6,5,7,1,8,3]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[2,6,7,1,3,8,4,5]=>[4,8,7,1,5,6,3,2]=>[2,3,6,5,1,7,8,4]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[2,1,6,7,8,3,4,5]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,6,1,7,8,3,4,5]=>[3,8,1,7,6,5,4,2]=>[2,4,5,6,7,1,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[2,6,7,1,8,3,4,5]=>[4,8,7,1,6,5,3,2]=>[2,3,5,6,1,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[2,6,7,8,1,3,4,5]=>[5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[2,6,7,1,3,4,5,8]=>[4,7,6,1,5,3,2,8]=>[8,2,3,5,1,6,7,4]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[2,3,1,6,4,7,5,8]=>[3,2,1,7,5,6,4,8]=>[8,4,6,5,7,1,2,3]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[2,3,6,1,4,7,5,8]=>[4,2,7,1,5,6,3,8]=>[8,3,6,5,1,7,2,4]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]
[2,3,6,7,1,4,5,8]=>[5,2,7,6,1,4,3,8]=>[8,3,4,1,6,7,2,5]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[2,3,6,1,4,7,8,5]=>[4,2,8,1,5,6,7,3]=>[3,7,6,5,1,8,2,4]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]
[2,1,3,6,7,4,8,5]=>[2,1,3,8,6,5,7,4]=>[4,7,5,6,8,3,1,2]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]
[2,1,3,6,7,8,4,5]=>[2,1,3,8,7,6,5,4]=>[4,5,6,7,8,3,1,2]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]
[2,3,1,6,7,8,4,5]=>[3,2,1,8,7,6,5,4]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[2,3,6,1,7,8,4,5]=>[4,2,8,1,7,6,5,3]=>[3,5,6,7,1,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[2,3,6,7,1,8,4,5]=>[5,2,8,7,1,6,4,3]=>[3,4,6,1,7,8,2,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[2,3,6,7,8,1,4,5]=>[6,2,8,7,5,1,4,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[2,1,6,3,8,4,5,7]=>[2,1,7,4,8,6,3,5]=>[5,3,6,8,4,7,1,2]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]
[2,6,1,3,8,4,5,7]=>[3,7,1,4,8,6,2,5]=>[5,2,6,8,4,1,7,3]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]
[2,1,6,8,3,4,5,7]=>[2,1,7,8,5,6,3,4]=>[4,3,6,5,8,7,1,2]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]
[2,6,1,8,3,4,5,7]=>[3,7,1,8,5,6,2,4]=>[4,2,6,5,8,1,7,3]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[2,6,8,1,3,4,5,7]=>[4,7,8,1,5,6,2,3]=>[3,2,6,5,1,8,7,4]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]
[2,1,6,3,4,8,5,7]=>[2,1,7,4,5,8,3,6]=>[6,3,8,5,4,7,1,2]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]
[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]=>[6,4,8,5,7,3,1,2]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]
[2,3,1,6,4,8,5,7]=>[3,2,1,7,5,8,4,6]=>[6,4,8,5,7,1,2,3]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]
[2,3,6,1,8,4,5,7]=>[4,2,7,1,8,6,3,5]=>[5,3,6,8,1,7,2,4]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]
[2,3,6,8,1,4,5,7]=>[5,2,7,8,1,6,3,4]=>[4,3,6,1,8,7,2,5]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]
[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]=>[7,8,2,5,4,1,6,3]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]
[2,1,3,6,4,5,8,7]=>[2,1,3,6,5,4,8,7]=>[7,8,4,5,6,3,1,2]=>[[[[.,[.,.]],.],[.,[.,.]]],[.,.]]
[2,3,4,1,6,8,5,7]=>[4,2,3,1,7,8,5,6]=>[6,5,8,7,1,3,2,4]=>[[[.,[[.,.],[.,.]]],.],[[.,.],.]]
[2,3,4,6,1,8,5,7]=>[5,2,3,7,1,8,4,6]=>[6,4,8,1,7,3,2,5]=>[[[.,[[.,.],.]],[.,.]],[[.,.],.]]
[2,3,4,6,8,1,5,7]=>[6,2,3,7,8,1,4,5]=>[5,4,1,8,7,3,2,6]=>[[[.,[[.,.],.]],.],[[[.,.],.],.]]
[2,3,1,6,4,5,7,8]=>[3,2,1,6,5,4,7,8]=>[8,7,4,5,6,1,2,3]=>[[[[.,[.,[.,.]]],[.,[.,.]]],.],.]
[2,3,6,1,4,5,7,8]=>[4,2,6,1,5,3,7,8]=>[8,7,3,5,1,6,2,4]=>[[[[.,[.,.]],[[.,.],[.,.]]],.],.]
[2,3,4,6,1,5,7,8]=>[5,2,3,6,1,4,7,8]=>[8,7,4,1,6,3,2,5]=>[[[[.,[[.,.],.]],[[.,.],.]],.],.]
[2,3,4,6,1,7,5,8]=>[5,2,3,7,1,6,4,8]=>[8,4,6,1,7,3,2,5]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]
[2,3,4,6,7,1,5,8]=>[6,2,3,7,5,1,4,8]=>[8,4,1,5,7,3,2,6]=>[[[.,[[.,.],.]],[.,[[.,.],.]]],.]
[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]=>[4,1,6,5,8,3,2,7]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[2,1,7,8,3,4,5,6]=>[2,1,8,7,5,6,4,3]=>[3,4,6,5,7,8,1,2]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[2,7,1,8,3,4,5,6]=>[3,8,1,7,5,6,4,2]=>[2,4,6,5,7,1,8,3]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[2,7,8,1,3,4,5,6]=>[4,8,7,1,5,6,3,2]=>[2,3,6,5,1,7,8,4]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[2,1,7,3,4,8,5,6]=>[2,1,8,4,5,7,6,3]=>[3,6,7,5,4,8,1,2]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]
[2,1,3,7,4,8,5,6]=>[2,1,3,8,5,7,6,4]=>[4,6,7,5,8,3,1,2]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]
[2,3,1,7,4,8,5,6]=>[3,2,1,8,5,7,6,4]=>[4,6,7,5,8,1,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[2,1,3,7,8,4,5,6]=>[2,1,3,8,7,6,5,4]=>[4,5,6,7,8,3,1,2]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]
[2,3,1,7,8,4,5,6]=>[3,2,1,8,7,6,5,4]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[2,3,7,8,1,4,5,6]=>[5,2,8,7,1,6,4,3]=>[3,4,6,1,7,8,2,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[2,3,1,7,4,5,8,6]=>[3,2,1,8,5,6,7,4]=>[4,7,6,5,8,1,2,3]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[2,3,7,1,4,5,8,6]=>[4,2,8,1,5,6,7,3]=>[3,7,6,5,1,8,2,4]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]
[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]=>[5,6,7,8,4,3,1,2]=>[[[[.,[.,.]],.],.],[.,[.,[.,.]]]]
[2,3,1,4,7,8,5,6]=>[3,2,1,4,8,7,6,5]=>[5,6,7,8,4,1,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]
[2,3,4,1,7,8,5,6]=>[4,2,3,1,8,7,6,5]=>[5,6,7,8,1,3,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]
[2,3,4,7,1,8,5,6]=>[5,2,3,8,1,7,6,4]=>[4,6,7,1,8,3,2,5]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]
[2,3,7,1,4,5,6,8]=>[4,2,7,1,5,6,3,8]=>[8,3,6,5,1,7,2,4]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]
[2,3,1,4,7,5,6,8]=>[3,2,1,4,7,6,5,8]=>[8,5,6,7,4,1,2,3]=>[[[[.,[.,[.,.]]],.],[.,[.,.]]],.]
[2,3,4,1,7,5,6,8]=>[4,2,3,1,7,6,5,8]=>[8,5,6,7,1,3,2,4]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[2,3,4,7,1,5,6,8]=>[5,2,3,7,1,6,4,8]=>[8,4,6,1,7,3,2,5]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]
[2,3,4,5,7,1,8,6]=>[6,2,3,4,8,1,7,5]=>[5,7,1,8,4,3,2,6]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]
[2,3,4,5,7,8,1,6]=>[7,2,3,4,8,6,1,5]=>[5,1,6,8,4,3,2,7]=>[[.,[[[.,.],.],.]],[.,[[.,.],.]]]
[2,3,1,8,4,5,6,7]=>[3,2,1,8,5,6,7,4]=>[4,7,6,5,8,1,2,3]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[2,3,8,1,4,5,6,7]=>[4,2,8,1,5,6,7,3]=>[3,7,6,5,1,8,2,4]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]
[2,3,1,4,8,5,6,7]=>[3,2,1,4,8,6,7,5]=>[5,7,6,8,4,1,2,3]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]
[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]=>[6,7,8,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,[.,.]]]
[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]=>[6,7,8,5,1,3,2,4]=>[[[.,[[.,.],[.,.]]],.],[.,[.,.]]]
[2,3,4,5,1,8,6,7]=>[5,2,3,4,1,8,7,6]=>[6,7,8,1,4,3,2,5]=>[[.,[[[.,.],.],[.,.]]],[.,[.,.]]]
[2,3,4,5,8,1,6,7]=>[6,2,3,4,8,1,7,5]=>[5,7,1,8,4,3,2,6]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]
[3,1,4,2,6,5,8,7]=>[4,2,3,1,6,5,8,7]=>[7,8,5,6,1,3,2,4]=>[[[.,[[.,.],[.,.]]],[.,.]],[.,.]]
[3,4,1,2,6,5,8,7]=>[4,3,2,1,6,5,8,7]=>[7,8,5,6,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]
[3,1,4,6,2,5,8,7]=>[5,2,3,6,1,4,8,7]=>[7,8,4,1,6,3,2,5]=>[[[.,[[.,.],.]],[[.,.],.]],[.,.]]
[3,4,1,6,2,5,8,7]=>[5,3,2,6,1,4,8,7]=>[7,8,4,1,6,2,3,5]=>[[[.,[.,[.,.]]],[[.,.],.]],[.,.]]
[3,4,6,1,2,5,8,7]=>[5,4,6,2,1,3,8,7]=>[7,8,3,1,2,6,4,5]=>[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]
[3,1,4,2,6,8,5,7]=>[4,2,3,1,7,8,5,6]=>[6,5,8,7,1,3,2,4]=>[[[.,[[.,.],[.,.]]],.],[[.,.],.]]
[3,4,1,2,6,8,5,7]=>[4,3,2,1,7,8,5,6]=>[6,5,8,7,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],.],[[.,.],.]]
[3,1,4,6,2,8,5,7]=>[5,2,3,7,1,8,4,6]=>[6,4,8,1,7,3,2,5]=>[[[.,[[.,.],.]],[.,.]],[[.,.],.]]
[3,4,1,6,2,8,5,7]=>[5,3,2,7,1,8,4,6]=>[6,4,8,1,7,2,3,5]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]
[3,1,4,6,8,2,5,7]=>[6,2,3,7,8,1,4,5]=>[5,4,1,8,7,3,2,6]=>[[[.,[[.,.],.]],.],[[[.,.],.],.]]
[3,4,1,6,8,2,5,7]=>[6,3,2,7,8,1,4,5]=>[5,4,1,8,7,2,3,6]=>[[[.,[.,[.,.]]],.],[[[.,.],.],.]]
[3,4,6,8,1,2,5,7]=>[6,5,7,8,2,1,3,4]=>[4,3,1,2,8,7,5,6]=>[[[.,[.,.]],.],[[[.,[.,.]],.],.]]
[3,4,1,2,6,5,7,8]=>[4,3,2,1,6,5,7,8]=>[8,7,5,6,1,2,3,4]=>[[[[.,[.,[.,[.,.]]]],[.,.]],.],.]
[3,1,4,2,6,7,5,8]=>[4,2,3,1,7,6,5,8]=>[8,5,6,7,1,3,2,4]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[3,4,1,2,6,7,5,8]=>[4,3,2,1,7,6,5,8]=>[8,5,6,7,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[3,4,1,6,2,7,5,8]=>[5,3,2,7,1,6,4,8]=>[8,4,6,1,7,2,3,5]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[3,4,6,1,2,7,5,8]=>[5,4,7,2,1,6,3,8]=>[8,3,6,1,2,7,4,5]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[3,4,1,6,7,2,5,8]=>[6,3,2,7,5,1,4,8]=>[8,4,1,5,7,2,3,6]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[3,4,6,7,1,2,5,8]=>[6,5,7,4,2,1,3,8]=>[8,3,1,2,4,7,5,6]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[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]=>[5,7,6,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[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]=>[4,7,6,1,8,2,3,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[3,4,6,1,2,7,8,5]=>[5,4,8,2,1,6,7,3]=>[3,7,6,1,2,8,4,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[3,1,4,6,7,2,8,5]=>[6,2,3,8,5,1,7,4]=>[4,7,1,5,8,3,2,6]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]
[3,4,1,6,7,2,8,5]=>[6,3,2,8,5,1,7,4]=>[4,7,1,5,8,2,3,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[3,4,6,1,7,2,8,5]=>[6,4,8,2,5,1,7,3]=>[3,7,1,5,2,8,4,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[3,4,6,7,1,2,8,5]=>[6,5,8,4,2,1,7,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[3,1,4,6,7,8,2,5]=>[7,2,3,8,5,6,1,4]=>[4,1,6,5,8,3,2,7]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[3,4,1,6,7,8,2,5]=>[7,3,2,8,5,6,1,4]=>[4,1,6,5,8,2,3,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[3,4,6,1,7,8,2,5]=>[7,4,8,2,5,6,1,3]=>[3,1,6,5,2,8,4,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[3,4,6,7,1,8,2,5]=>[7,5,8,4,2,6,1,3]=>[3,1,6,2,4,8,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[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]=>[5,7,6,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[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]=>[4,7,6,1,8,2,3,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[3,4,7,1,2,5,8,6]=>[5,4,8,2,1,6,7,3]=>[3,7,6,1,2,8,4,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[3,1,4,2,7,8,5,6]=>[4,2,3,1,8,7,6,5]=>[5,6,7,8,1,3,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]
[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]=>[4,6,7,1,8,3,2,5]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]
[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]=>[8,5,6,7,1,3,2,4]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[3,4,1,2,7,5,6,8]=>[4,3,2,1,7,6,5,8]=>[8,5,6,7,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[3,4,1,2,5,7,6,8]=>[4,3,2,1,5,7,6,8]=>[8,6,7,5,1,2,3,4]=>[[[[.,[.,[.,[.,.]]]],.],[.,.]],.]
[3,1,4,5,2,7,6,8]=>[5,2,3,4,1,7,6,8]=>[8,6,7,1,4,3,2,5]=>[[[.,[[[.,.],.],[.,.]]],[.,.]],.]
[3,4,1,5,2,7,6,8]=>[5,3,2,4,1,7,6,8]=>[8,6,7,1,4,2,3,5]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[3,4,5,1,7,2,6,8]=>[6,4,3,2,7,1,5,8]=>[8,5,1,7,2,3,4,6]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[3,4,5,7,1,2,6,8]=>[6,5,3,7,2,1,4,8]=>[8,4,1,2,7,3,5,6]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[3,1,4,2,5,7,8,6]=>[4,2,3,1,5,8,7,6]=>[6,7,8,5,1,3,2,4]=>[[[.,[[.,.],[.,.]]],.],[.,[.,.]]]
[3,4,1,2,5,7,8,6]=>[4,3,2,1,5,8,7,6]=>[6,7,8,5,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]]
[3,1,4,5,2,7,8,6]=>[5,2,3,4,1,8,7,6]=>[6,7,8,1,4,3,2,5]=>[[.,[[[.,.],.],[.,.]]],[.,[.,.]]]
[3,4,5,1,2,7,8,6]=>[5,4,3,2,1,8,7,6]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[3,1,4,5,7,2,8,6]=>[6,2,3,4,8,1,7,5]=>[5,7,1,8,4,3,2,6]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]
[3,4,5,7,1,2,8,6]=>[6,5,3,8,2,1,7,4]=>[4,7,1,2,8,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[3,1,4,5,7,8,2,6]=>[7,2,3,4,8,6,1,5]=>[5,1,6,8,4,3,2,7]=>[[.,[[[.,.],.],.]],[.,[[.,.],.]]]
[3,4,1,5,7,8,2,6]=>[7,3,2,4,8,6,1,5]=>[5,1,6,8,4,2,3,7]=>[[.,[[.,[.,.]],.]],[.,[[.,.],.]]]
[3,4,5,7,1,8,2,6]=>[7,5,3,8,2,6,1,4]=>[4,1,6,2,8,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[3,4,5,7,8,1,2,6]=>[7,6,3,8,5,2,1,4]=>[4,1,2,5,8,3,6,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[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]=>[5,7,6,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[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]=>[4,7,6,1,8,2,3,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[3,4,8,1,2,5,6,7]=>[5,4,8,2,1,6,7,3]=>[3,7,6,1,2,8,4,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[3,1,4,2,5,8,6,7]=>[4,2,3,1,5,8,7,6]=>[6,7,8,5,1,3,2,4]=>[[[.,[[.,.],[.,.]]],.],[.,[.,.]]]
[3,4,1,2,5,8,6,7]=>[4,3,2,1,5,8,7,6]=>[6,7,8,5,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]]
[3,4,1,5,2,8,6,7]=>[5,3,2,4,1,8,7,6]=>[6,7,8,1,4,2,3,5]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]
[3,4,5,1,2,8,6,7]=>[5,4,3,2,1,8,7,6]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[3,1,4,5,8,2,6,7]=>[6,2,3,4,8,1,7,5]=>[5,7,1,8,4,3,2,6]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]
[3,4,5,8,1,2,6,7]=>[6,5,3,8,2,1,7,4]=>[4,7,1,2,8,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[3,4,1,2,5,6,8,7]=>[4,3,2,1,5,6,8,7]=>[7,8,6,5,1,2,3,4]=>[[[[.,[.,[.,[.,.]]]],.],.],[.,.]]
[3,4,5,1,2,6,8,7]=>[5,4,3,2,1,6,8,7]=>[7,8,6,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]]
[3,4,1,5,6,2,8,7]=>[6,3,2,4,5,1,8,7]=>[7,8,1,5,4,2,3,6]=>[[.,[[[.,[.,.]],.],[.,.]]],[.,.]]
[3,4,5,6,1,2,8,7]=>[6,5,3,4,2,1,8,7]=>[7,8,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]
[3,4,5,6,1,8,2,7]=>[7,5,3,4,2,8,1,6]=>[6,1,8,2,4,3,5,7]=>[[.,[.,[[.,.],[.,.]]]],[[.,.],.]]
[3,1,4,2,5,6,7,8]=>[4,2,3,1,5,6,7,8]=>[8,7,6,5,1,3,2,4]=>[[[[[.,[[.,.],[.,.]]],.],.],.],.]
[3,1,4,5,2,6,7,8]=>[5,2,3,4,1,6,7,8]=>[8,7,6,1,4,3,2,5]=>[[[[.,[[[.,.],.],[.,.]]],.],.],.]
[3,4,1,5,2,6,7,8]=>[5,3,2,4,1,6,7,8]=>[8,7,6,1,4,2,3,5]=>[[[[.,[[.,[.,.]],[.,.]]],.],.],.]
[3,4,1,5,6,2,7,8]=>[6,3,2,4,5,1,7,8]=>[8,7,1,5,4,2,3,6]=>[[[.,[[[.,[.,.]],.],[.,.]]],.],.]
[3,4,5,1,6,2,7,8]=>[6,4,3,2,5,1,7,8]=>[8,7,1,5,2,3,4,6]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[3,1,4,5,6,7,2,8]=>[7,2,3,4,5,6,1,8]=>[8,1,6,5,4,3,2,7]=>[[.,[[[[[.,.],.],.],.],[.,.]]],.]
[3,4,5,1,6,7,2,8]=>[7,4,3,2,5,6,1,8]=>[8,1,6,5,2,3,4,7]=>[[.,[[[.,[.,[.,.]]],.],[.,.]]],.]
[3,4,5,6,1,7,2,8]=>[7,5,3,4,2,6,1,8]=>[8,1,6,2,4,3,5,7]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[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]=>[1,7,6,5,4,2,3,8]=>[.,[[[[[.,[.,.]],.],.],.],[.,.]]]
[3,4,5,6,1,7,8,2]=>[8,5,3,4,2,6,7,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]
[3,4,5,6,7,1,8,2]=>[8,6,3,4,5,2,7,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[3,1,5,6,2,4,8,7]=>[5,2,6,4,1,3,8,7]=>[7,8,3,1,4,6,2,5]=>[[[.,[.,.]],[.,[[.,.],.]]],[.,.]]
[3,5,1,6,2,4,8,7]=>[5,6,3,4,1,2,8,7]=>[7,8,2,1,4,3,6,5]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]
[3,5,6,1,2,4,8,7]=>[5,6,4,3,1,2,8,7]=>[7,8,2,1,3,4,6,5]=>[[[.,.],[.,[.,[[.,.],.]]]],[.,.]]
[3,5,1,2,6,8,4,7]=>[4,7,3,1,5,8,2,6]=>[6,2,8,5,1,3,7,4]=>[[[.,.],[[.,[.,.]],.]],[[.,.],.]]
[3,1,5,6,2,8,4,7]=>[5,2,7,4,1,8,3,6]=>[6,3,8,1,4,7,2,5]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]
[3,5,6,1,2,8,4,7]=>[5,7,4,3,1,8,2,6]=>[6,2,8,1,3,4,7,5]=>[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]
[3,1,5,6,8,2,4,7]=>[6,2,7,4,8,1,3,5]=>[5,3,1,8,4,7,2,6]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]
[3,5,1,6,8,2,4,7]=>[6,7,3,4,8,1,2,5]=>[5,2,1,8,4,3,7,6]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]
[3,5,6,1,8,2,4,7]=>[6,7,4,3,8,1,2,5]=>[5,2,1,8,3,4,7,6]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]
[3,5,6,8,1,2,4,7]=>[6,7,5,8,3,1,2,4]=>[4,2,1,3,8,5,7,6]=>[[[.,.],[.,.]],[[.,[[.,.],.]],.]]
[3,1,5,6,2,4,7,8]=>[5,2,6,4,1,3,7,8]=>[8,7,3,1,4,6,2,5]=>[[[[.,[.,.]],[.,[[.,.],.]]],.],.]
[3,5,1,6,2,4,7,8]=>[5,6,3,4,1,2,7,8]=>[8,7,2,1,4,3,6,5]=>[[[[.,.],[[.,.],[[.,.],.]]],.],.]
[3,5,6,1,2,4,7,8]=>[5,6,4,3,1,2,7,8]=>[8,7,2,1,3,4,6,5]=>[[[[.,.],[.,[.,[[.,.],.]]]],.],.]
[3,5,1,2,6,7,4,8]=>[4,7,3,1,5,6,2,8]=>[8,2,6,5,1,3,7,4]=>[[[.,.],[[[.,[.,.]],.],[.,.]]],.]
[3,5,1,6,2,7,4,8]=>[5,7,3,4,1,6,2,8]=>[8,2,6,1,4,3,7,5]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[3,5,1,6,7,2,4,8]=>[6,7,3,4,5,1,2,8]=>[8,2,1,5,4,3,7,6]=>[[[.,.],[[[.,.],.],[[.,.],.]]],.]
[3,5,6,7,1,2,4,8]=>[6,7,5,4,3,1,2,8]=>[8,2,1,3,4,5,7,6]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[3,1,5,2,6,7,8,4]=>[4,2,8,1,5,6,7,3]=>[3,7,6,5,1,8,2,4]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]
[3,5,1,2,6,7,8,4]=>[4,8,3,1,5,6,7,2]=>[2,7,6,5,1,3,8,4]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]
[3,1,5,6,2,7,8,4]=>[5,2,8,4,1,6,7,3]=>[3,7,6,1,4,8,2,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[3,5,1,6,2,7,8,4]=>[5,8,3,4,1,6,7,2]=>[2,7,6,1,4,3,8,5]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]
[3,5,6,1,2,7,8,4]=>[5,8,4,3,1,6,7,2]=>[2,7,6,1,3,4,8,5]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[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]=>[2,7,1,5,4,3,8,6]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]
[3,5,6,1,7,2,8,4]=>[6,8,4,3,5,1,7,2]=>[2,7,1,5,3,4,8,6]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]
[3,5,6,7,1,2,8,4]=>[6,8,5,4,3,1,7,2]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[3,1,5,6,7,8,2,4]=>[7,2,8,4,5,6,1,3]=>[3,1,6,5,4,8,2,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[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]=>[2,1,6,5,3,4,8,7]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]
[3,5,6,7,1,8,2,4]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[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]=>[5,7,2,8,1,3,6,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[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]=>[4,7,2,1,8,3,6,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[3,5,7,1,2,4,8,6]=>[5,6,8,4,1,2,7,3]=>[3,7,2,1,4,8,6,5]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]
[3,1,5,2,7,8,4,6]=>[4,2,7,1,8,6,3,5]=>[5,3,6,8,1,7,2,4]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]
[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]=>[4,3,6,1,8,7,2,5]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]
[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]=>[3,2,6,1,4,8,7,5]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]
[3,1,5,7,8,2,4,6]=>[6,2,7,8,5,1,3,4]=>[4,3,1,5,8,7,2,6]=>[[[.,[.,.]],.],[.,[[[.,.],.],.]]]
[3,5,1,7,8,2,4,6]=>[6,7,3,8,5,1,2,4]=>[4,2,1,5,8,3,7,6]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]
[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]=>[8,5,3,7,1,6,2,4]=>[[[[.,[.,.]],[.,.]],[[.,.],.]],.]
[3,5,1,2,7,4,6,8]=>[4,6,3,1,7,2,5,8]=>[8,5,2,7,1,3,6,4]=>[[[[.,.],[.,[.,.]]],[[.,.],.]],.]
[3,1,5,7,2,4,6,8]=>[5,2,6,7,1,3,4,8]=>[8,4,3,1,7,6,2,5]=>[[[[.,[.,.]],.],[[[.,.],.],.]],.]
[3,5,1,7,2,4,6,8]=>[5,6,3,7,1,2,4,8]=>[8,4,2,1,7,3,6,5]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]
[3,5,7,1,2,4,6,8]=>[5,6,7,4,1,2,3,8]=>[8,3,2,1,4,7,6,5]=>[[[[.,.],.],[.,[[[.,.],.],.]]],.]
[3,5,1,2,4,7,6,8]=>[4,5,3,1,2,7,6,8]=>[8,6,7,2,1,3,5,4]=>[[[[.,.],[.,[[.,.],.]]],[.,.]],.]
[3,1,2,5,4,7,6,8]=>[3,2,1,5,4,7,6,8]=>[8,6,7,4,5,1,2,3]=>[[[[.,[.,[.,.]]],[.,.]],[.,.]],.]
[3,1,2,5,7,4,6,8]=>[3,2,1,6,7,4,5,8]=>[8,5,4,7,6,1,2,3]=>[[[[.,[.,[.,.]]],.],[[.,.],.]],.]
[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]=>[6,7,8,3,2,5,4,1]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]
[1,3,5,2,7,4,8,6]=>[1,4,6,2,8,3,7,5]=>[5,7,3,8,2,6,4,1]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]
[1,3,5,7,2,4,8,6]=>[1,5,6,8,2,3,7,4]=>[4,7,3,2,8,6,5,1]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]
[1,3,5,2,7,8,4,6]=>[1,4,7,2,8,6,3,5]=>[5,3,6,8,2,7,4,1]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]
[1,3,5,7,2,8,4,6]=>[1,5,7,8,2,6,3,4]=>[4,3,6,2,8,7,5,1]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]
[1,3,5,7,8,2,4,6]=>[1,6,7,8,5,2,3,4]=>[4,3,2,5,8,7,6,1]=>[[[[.,.],.],.],[.,[[[.,.],.],.]]]
[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]=>[5,7,2,8,1,3,6,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[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]=>[4,7,2,1,8,3,6,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[1,3,2,5,4,8,6,7]=>[1,3,2,5,4,8,7,6]=>[6,7,8,4,5,2,3,1]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]
[1,3,5,2,4,8,6,7]=>[1,4,5,2,3,8,7,6]=>[6,7,8,3,2,5,4,1]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]
[1,3,5,2,8,4,6,7]=>[1,4,6,2,8,3,7,5]=>[5,7,3,8,2,6,4,1]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]
[1,3,5,8,2,4,6,7]=>[1,5,6,8,2,3,7,4]=>[4,7,3,2,8,6,5,1]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]
[3,1,5,2,4,6,8,7]=>[4,2,5,1,3,6,8,7]=>[7,8,6,3,1,5,2,4]=>[[[[.,[.,.]],[[.,.],.]],.],[.,.]]
[3,5,1,2,4,6,8,7]=>[4,5,3,1,2,6,8,7]=>[7,8,6,2,1,3,5,4]=>[[[[.,.],[.,[[.,.],.]]],.],[.,.]]
[1,3,5,2,4,6,8,7]=>[1,4,5,2,3,6,8,7]=>[7,8,6,3,2,5,4,1]=>[[[[[.,.],.],[[.,.],.]],.],[.,.]]
[1,3,5,6,2,4,8,7]=>[1,5,6,4,2,3,8,7]=>[7,8,3,2,4,6,5,1]=>[[[[.,.],.],[.,[[.,.],.]]],[.,.]]
[3,1,2,5,6,8,4,7]=>[3,2,1,7,5,8,4,6]=>[6,4,8,5,7,1,2,3]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]
[1,3,5,2,6,8,4,7]=>[1,4,7,2,5,8,3,6]=>[6,3,8,5,2,7,4,1]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]
[1,3,5,6,8,2,4,7]=>[1,6,7,4,8,2,3,5]=>[5,3,2,8,4,7,6,1]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]
[3,1,5,2,4,6,7,8]=>[4,2,5,1,3,6,7,8]=>[8,7,6,3,1,5,2,4]=>[[[[[.,[.,.]],[[.,.],.]],.],.],.]
[1,3,5,2,4,6,7,8]=>[1,4,5,2,3,6,7,8]=>[8,7,6,3,2,5,4,1]=>[[[[[[.,.],.],[[.,.],.]],.],.],.]
[3,1,2,5,6,4,7,8]=>[3,2,1,6,5,4,7,8]=>[8,7,4,5,6,1,2,3]=>[[[[.,[.,[.,.]]],[.,[.,.]]],.],.]
[1,3,5,6,2,4,7,8]=>[1,5,6,4,2,3,7,8]=>[8,7,3,2,4,6,5,1]=>[[[[[.,.],.],[.,[[.,.],.]]],.],.]
[3,1,2,5,6,7,4,8]=>[3,2,1,7,5,6,4,8]=>[8,4,6,5,7,1,2,3]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[1,3,5,6,2,7,4,8]=>[1,5,7,4,2,6,3,8]=>[8,3,6,2,4,7,5,1]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]
[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]=>[4,7,6,5,8,1,2,3]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[1,3,5,6,2,7,8,4]=>[1,5,8,4,2,6,7,3]=>[3,7,6,2,4,8,5,1]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]
[1,3,5,6,7,2,8,4]=>[1,6,8,4,5,2,7,3]=>[3,7,2,5,4,8,6,1]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]
[1,3,5,6,7,8,2,4]=>[1,7,8,4,5,6,2,3]=>[3,2,6,5,4,8,7,1]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]
[3,6,1,7,2,4,8,5]=>[5,8,3,6,1,4,7,2]=>[2,7,4,1,6,3,8,5]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]
[3,6,7,1,2,4,8,5]=>[5,8,6,4,1,3,7,2]=>[2,7,3,1,4,6,8,5]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]
[3,6,1,2,7,8,4,5]=>[4,8,3,1,7,6,5,2]=>[2,5,6,7,1,3,8,4]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[3,1,6,7,2,8,4,5]=>[5,2,8,7,1,6,4,3]=>[3,4,6,1,7,8,2,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[3,6,1,7,2,8,4,5]=>[5,8,3,7,1,6,4,2]=>[2,4,6,1,7,3,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[3,6,7,1,2,8,4,5]=>[5,8,7,4,1,6,3,2]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[3,6,1,7,8,2,4,5]=>[6,8,3,7,5,1,4,2]=>[2,4,1,5,7,3,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[3,6,7,8,1,2,4,5]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[3,1,6,2,7,4,5,8]=>[4,2,7,1,6,5,3,8]=>[8,3,5,6,1,7,2,4]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[3,1,6,7,2,4,5,8]=>[5,2,7,6,1,4,3,8]=>[8,3,4,1,6,7,2,5]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[3,1,6,2,4,7,5,8]=>[4,2,7,1,5,6,3,8]=>[8,3,6,5,1,7,2,4]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]
[3,6,1,2,4,7,5,8]=>[4,7,3,1,5,6,2,8]=>[8,2,6,5,1,3,7,4]=>[[[.,.],[[[.,[.,.]],.],[.,.]]],.]
[3,1,2,6,4,7,5,8]=>[3,2,1,7,5,6,4,8]=>[8,4,6,5,7,1,2,3]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[1,3,2,6,4,7,5,8]=>[1,3,2,7,5,6,4,8]=>[8,4,6,5,7,2,3,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[1,3,2,6,7,4,5,8]=>[1,3,2,7,6,5,4,8]=>[8,4,5,6,7,2,3,1]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]
[3,1,6,2,4,7,8,5]=>[4,2,8,1,5,6,7,3]=>[3,7,6,5,1,8,2,4]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]
[3,6,1,2,4,7,8,5]=>[4,8,3,1,5,6,7,2]=>[2,7,6,5,1,3,8,4]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]
[3,1,2,6,4,7,8,5]=>[3,2,1,8,5,6,7,4]=>[4,7,6,5,8,1,2,3]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[1,3,2,6,4,7,8,5]=>[1,3,2,8,5,6,7,4]=>[4,7,6,5,8,2,3,1]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[3,1,2,6,7,4,8,5]=>[3,2,1,8,6,5,7,4]=>[4,7,5,6,8,1,2,3]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[1,3,2,6,7,4,8,5]=>[1,3,2,8,6,5,7,4]=>[4,7,5,6,8,2,3,1]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[1,3,6,7,2,4,8,5]=>[1,5,8,6,2,4,7,3]=>[3,7,4,2,6,8,5,1]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]
[3,1,2,6,7,8,4,5]=>[3,2,1,8,7,6,5,4]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[1,3,2,6,7,8,4,5]=>[1,3,2,8,7,6,5,4]=>[4,5,6,7,8,2,3,1]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]
[1,3,6,2,7,8,4,5]=>[1,4,8,2,7,6,5,3]=>[3,5,6,7,2,8,4,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[1,3,6,7,8,2,4,5]=>[1,6,8,7,5,2,4,3]=>[3,4,2,5,7,8,6,1]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]
[3,1,6,2,8,4,5,7]=>[4,2,7,1,8,6,3,5]=>[5,3,6,8,1,7,2,4]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]
[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]=>[4,3,6,1,8,7,2,5]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]
[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]=>[3,2,6,1,4,8,7,5]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]
[3,6,1,2,4,8,5,7]=>[4,7,3,1,5,8,2,6]=>[6,2,8,5,1,3,7,4]=>[[[.,.],[[.,[.,.]],.]],[[.,.],.]]
[1,3,2,6,4,8,5,7]=>[1,3,2,7,5,8,4,6]=>[6,4,8,5,7,2,3,1]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]
[1,3,6,2,4,8,5,7]=>[1,4,7,2,5,8,3,6]=>[6,3,8,5,2,7,4,1]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]
[3,1,2,6,4,5,8,7]=>[3,2,1,6,5,4,8,7]=>[7,8,4,5,6,1,2,3]=>[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]
[3,1,2,4,6,5,8,7]=>[3,2,1,4,6,5,8,7]=>[7,8,5,6,4,1,2,3]=>[[[[.,[.,[.,.]]],.],[.,.]],[.,.]]
[1,3,4,6,2,5,8,7]=>[1,5,3,6,2,4,8,7]=>[7,8,4,2,6,3,5,1]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]
[3,1,2,4,6,8,5,7]=>[3,2,1,4,7,8,5,6]=>[6,5,8,7,4,1,2,3]=>[[[[.,[.,[.,.]]],.],.],[[.,.],.]]
[1,3,2,4,6,8,5,7]=>[1,3,2,4,7,8,5,6]=>[6,5,8,7,4,2,3,1]=>[[[[[.,.],[.,.]],.],.],[[.,.],.]]
[1,3,4,6,8,2,5,7]=>[1,6,3,7,8,2,4,5]=>[5,4,2,8,7,3,6,1]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]
[3,1,6,2,4,5,7,8]=>[4,2,6,1,5,3,7,8]=>[8,7,3,5,1,6,2,4]=>[[[[.,[.,.]],[[.,.],[.,.]]],.],.]
[3,6,1,2,4,5,7,8]=>[4,6,3,1,5,2,7,8]=>[8,7,2,5,1,3,6,4]=>[[[[.,.],[[.,[.,.]],[.,.]]],.],.]
[1,3,2,6,4,5,7,8]=>[1,3,2,6,5,4,7,8]=>[8,7,4,5,6,2,3,1]=>[[[[[.,.],[.,.]],[.,[.,.]]],.],.]
[1,3,4,6,2,5,7,8]=>[1,5,3,6,2,4,7,8]=>[8,7,4,2,6,3,5,1]=>[[[[[.,.],[.,.]],[[.,.],.]],.],.]
[3,1,2,4,6,7,5,8]=>[3,2,1,4,7,6,5,8]=>[8,5,6,7,4,1,2,3]=>[[[[.,[.,[.,.]]],.],[.,[.,.]]],.]
[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]=>[8,4,2,5,7,3,6,1]=>[[[[.,.],[.,.]],[.,[[.,.],.]]],.]
[3,1,2,4,6,7,8,5]=>[3,2,1,4,8,6,7,5]=>[5,7,6,8,4,1,2,3]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]
[1,3,4,6,7,2,8,5]=>[1,6,3,8,5,2,7,4]=>[4,7,2,5,8,3,6,1]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[1,3,4,6,7,8,2,5]=>[1,7,3,8,5,6,2,4]=>[4,2,6,5,8,3,7,1]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[3,1,7,2,8,4,5,6]=>[4,2,8,1,7,6,5,3]=>[3,5,6,7,1,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[3,7,1,2,8,4,5,6]=>[4,8,3,1,7,6,5,2]=>[2,5,6,7,1,3,8,4]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[3,1,7,8,2,4,5,6]=>[5,2,8,7,1,6,4,3]=>[3,4,6,1,7,8,2,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[3,7,1,8,2,4,5,6]=>[5,8,3,7,1,6,4,2]=>[2,4,6,1,7,3,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[3,7,8,1,2,4,5,6]=>[5,8,7,4,1,6,3,2]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[3,7,1,2,4,8,5,6]=>[4,8,3,1,5,7,6,2]=>[2,6,7,5,1,3,8,4]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]
[3,1,2,7,4,8,5,6]=>[3,2,1,8,5,7,6,4]=>[4,6,7,5,8,1,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[1,3,2,7,4,8,5,6]=>[1,3,2,8,5,7,6,4]=>[4,6,7,5,8,2,3,1]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[1,3,7,2,4,8,5,6]=>[1,4,8,2,5,7,6,3]=>[3,6,7,5,2,8,4,1]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]
[3,1,2,7,8,4,5,6]=>[3,2,1,8,7,6,5,4]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[1,3,7,2,8,4,5,6]=>[1,4,8,2,7,6,5,3]=>[3,5,6,7,2,8,4,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[1,3,7,8,2,4,5,6]=>[1,5,8,7,2,6,4,3]=>[3,4,6,2,7,8,5,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[3,1,7,2,4,5,8,6]=>[4,2,8,1,5,6,7,3]=>[3,7,6,5,1,8,2,4]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]
[3,7,1,2,4,5,8,6]=>[4,8,3,1,5,6,7,2]=>[2,7,6,5,1,3,8,4]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]
[3,1,2,4,7,5,8,6]=>[3,2,1,4,8,6,7,5]=>[5,7,6,8,4,1,2,3]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]
[1,3,2,4,7,5,8,6]=>[1,3,2,4,8,6,7,5]=>[5,7,6,8,4,2,3,1]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]
[1,3,4,2,7,5,8,6]=>[1,4,3,2,8,6,7,5]=>[5,7,6,8,2,3,4,1]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[1,3,4,7,2,5,8,6]=>[1,5,3,8,2,6,7,4]=>[4,7,6,2,8,3,5,1]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[3,1,2,4,7,8,5,6]=>[3,2,1,4,8,7,6,5]=>[5,6,7,8,4,1,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]
[1,3,2,4,7,8,5,6]=>[1,3,2,4,8,7,6,5]=>[5,6,7,8,4,2,3,1]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]
[1,3,4,2,7,8,5,6]=>[1,4,3,2,8,7,6,5]=>[5,6,7,8,2,3,4,1]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]
[3,1,7,2,4,5,6,8]=>[4,2,7,1,5,6,3,8]=>[8,3,6,5,1,7,2,4]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]
[3,7,1,2,4,5,6,8]=>[4,7,3,1,5,6,2,8]=>[8,2,6,5,1,3,7,4]=>[[[.,.],[[[.,[.,.]],.],[.,.]]],.]
[3,1,2,7,4,5,6,8]=>[3,2,1,7,5,6,4,8]=>[8,4,6,5,7,1,2,3]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[1,3,2,7,4,5,6,8]=>[1,3,2,7,5,6,4,8]=>[8,4,6,5,7,2,3,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[3,1,2,4,7,5,6,8]=>[3,2,1,4,7,6,5,8]=>[8,5,6,7,4,1,2,3]=>[[[[.,[.,[.,.]]],.],[.,[.,.]]],.]
[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]=>[5,7,2,8,4,3,6,1]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]
[1,3,4,5,7,8,2,6]=>[1,7,3,4,8,6,2,5]=>[5,2,6,8,4,3,7,1]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]
[3,1,8,2,4,5,6,7]=>[4,2,8,1,5,6,7,3]=>[3,7,6,5,1,8,2,4]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]
[3,8,1,2,4,5,6,7]=>[4,8,3,1,5,6,7,2]=>[2,7,6,5,1,3,8,4]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]
[3,1,2,8,4,5,6,7]=>[3,2,1,8,5,6,7,4]=>[4,7,6,5,8,1,2,3]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[1,3,2,8,4,5,6,7]=>[1,3,2,8,5,6,7,4]=>[4,7,6,5,8,2,3,1]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[3,1,2,4,8,5,6,7]=>[3,2,1,4,8,6,7,5]=>[5,7,6,8,4,1,2,3]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]
[1,3,2,4,8,5,6,7]=>[1,3,2,4,8,6,7,5]=>[5,7,6,8,4,2,3,1]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]
[1,3,4,2,8,5,6,7]=>[1,4,3,2,8,6,7,5]=>[5,7,6,8,2,3,4,1]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[1,3,4,8,2,5,6,7]=>[1,5,3,8,2,6,7,4]=>[4,7,6,2,8,3,5,1]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[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]=>[6,7,8,5,2,3,4,1]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]
[1,3,4,5,2,8,6,7]=>[1,5,3,4,2,8,7,6]=>[6,7,8,2,4,3,5,1]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]
[1,3,4,5,8,2,6,7]=>[1,6,3,4,8,2,7,5]=>[5,7,2,8,4,3,6,1]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]
[3,1,2,4,5,6,8,7]=>[3,2,1,4,5,6,8,7]=>[7,8,6,5,4,1,2,3]=>[[[[[.,[.,[.,.]]],.],.],.],[.,.]]
[4,1,5,6,2,3,8,7]=>[6,2,5,4,3,1,8,7]=>[7,8,1,3,4,5,2,6]=>[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]
[4,5,1,6,2,3,8,7]=>[6,5,3,4,2,1,8,7]=>[7,8,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]
[4,5,6,1,2,3,8,7]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[4,5,1,2,6,8,3,7]=>[7,4,3,2,5,8,1,6]=>[6,1,8,5,2,3,4,7]=>[[.,[[.,[.,[.,.]]],.]],[[.,.],.]]
[4,1,5,6,2,8,3,7]=>[7,2,5,4,3,8,1,6]=>[6,1,8,3,4,5,2,7]=>[[.,[[.,.],[.,[.,.]]]],[[.,.],.]]
[4,5,1,6,2,8,3,7]=>[7,5,3,4,2,8,1,6]=>[6,1,8,2,4,3,5,7]=>[[.,[.,[[.,.],[.,.]]]],[[.,.],.]]
[4,5,6,1,2,8,3,7]=>[7,5,4,3,2,8,1,6]=>[6,1,8,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[4,1,5,6,8,2,3,7]=>[7,2,6,4,8,3,1,5]=>[5,1,3,8,4,6,2,7]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]
[4,5,6,1,8,2,3,7]=>[7,6,4,3,8,2,1,5]=>[5,1,2,8,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[4,5,6,8,1,2,3,7]=>[7,6,5,8,3,2,1,4]=>[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[4,1,5,6,2,3,7,8]=>[6,2,5,4,3,1,7,8]=>[8,7,1,3,4,5,2,6]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[4,5,1,6,2,3,7,8]=>[6,5,3,4,2,1,7,8]=>[8,7,1,2,4,3,5,6]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[4,5,1,2,6,7,3,8]=>[7,4,3,2,5,6,1,8]=>[8,1,6,5,2,3,4,7]=>[[.,[[[.,[.,[.,.]]],.],[.,.]]],.]
[4,5,1,6,2,7,3,8]=>[7,5,3,4,2,6,1,8]=>[8,1,6,2,4,3,5,7]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[4,5,6,1,2,7,3,8]=>[7,5,4,3,2,6,1,8]=>[8,1,6,2,3,4,5,7]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[4,1,5,6,7,2,3,8]=>[7,2,6,4,5,3,1,8]=>[8,1,3,5,4,6,2,7]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[4,5,1,6,7,2,3,8]=>[7,6,3,4,5,2,1,8]=>[8,1,2,5,4,3,6,7]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[4,5,6,1,7,2,3,8]=>[7,6,4,3,5,2,1,8]=>[8,1,2,5,3,4,6,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[4,5,1,6,2,7,8,3]=>[8,5,3,4,2,6,7,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]
[4,5,6,1,2,7,8,3]=>[8,5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[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]=>[1,7,2,5,4,3,6,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[4,5,6,1,7,2,8,3]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[4,5,6,7,1,2,8,3]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,1,5,6,7,8,2,3]=>[8,2,7,4,5,6,3,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[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]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[4,5,6,7,1,8,2,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,5,1,2,7,3,8,6]=>[6,4,3,2,8,1,7,5]=>[5,7,1,8,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[4,5,1,7,2,3,8,6]=>[6,5,3,8,2,1,7,4]=>[4,7,1,2,8,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[4,5,7,1,2,3,8,6]=>[6,5,8,4,2,1,7,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[4,1,5,2,7,8,3,6]=>[7,2,4,3,8,6,1,5]=>[5,1,6,8,3,4,2,7]=>[[.,[[.,.],[.,.]]],[.,[[.,.],.]]]
[4,1,5,7,2,8,3,6]=>[7,2,5,8,3,6,1,4]=>[4,1,6,3,8,5,2,7]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[4,5,1,7,2,8,3,6]=>[7,5,3,8,2,6,1,4]=>[4,1,6,2,8,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[4,5,7,1,2,8,3,6]=>[7,5,8,4,2,6,1,3]=>[3,1,6,2,4,8,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[4,5,1,7,8,2,3,6]=>[7,6,3,8,5,2,1,4]=>[4,1,2,5,8,3,6,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[4,5,7,8,1,2,3,6]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[4,5,1,2,7,3,6,8]=>[6,4,3,2,7,1,5,8]=>[8,5,1,7,2,3,4,6]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[4,1,5,7,2,3,6,8]=>[6,2,5,7,3,1,4,8]=>[8,4,1,3,7,5,2,6]=>[[[.,[[.,.],.]],[[.,[.,.]],.]],.]
[4,5,1,7,2,3,6,8]=>[6,5,3,7,2,1,4,8]=>[8,4,1,2,7,3,5,6]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[4,1,5,2,3,7,6,8]=>[5,2,4,3,1,7,6,8]=>[8,6,7,1,3,4,2,5]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[4,5,1,2,3,7,6,8]=>[5,4,3,2,1,7,6,8]=>[8,6,7,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[4,1,2,5,3,7,6,8]=>[5,2,3,4,1,7,6,8]=>[8,6,7,1,4,3,2,5]=>[[[.,[[[.,.],.],[.,.]]],[.,.]],.]
[1,4,5,2,3,7,6,8]=>[1,5,4,3,2,7,6,8]=>[8,6,7,2,3,4,5,1]=>[[[[.,.],[.,[.,[.,.]]]],[.,.]],.]
[1,4,5,2,7,3,6,8]=>[1,6,4,3,7,2,5,8]=>[8,5,2,7,3,4,6,1]=>[[[[.,.],[.,[.,.]]],[[.,.],.]],.]
[1,4,5,7,2,3,6,8]=>[1,6,5,7,3,2,4,8]=>[8,4,2,3,7,5,6,1]=>[[[[.,.],[.,.]],[[.,[.,.]],.]],.]
[4,1,5,2,3,7,8,6]=>[5,2,4,3,1,8,7,6]=>[6,7,8,1,3,4,2,5]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]
[4,1,2,5,3,7,8,6]=>[5,2,3,4,1,8,7,6]=>[6,7,8,1,4,3,2,5]=>[[.,[[[.,.],.],[.,.]]],[.,[.,.]]]
[1,4,2,5,3,7,8,6]=>[1,5,3,4,2,8,7,6]=>[6,7,8,2,4,3,5,1]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]
[1,4,5,2,3,7,8,6]=>[1,5,4,3,2,8,7,6]=>[6,7,8,2,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]
[4,1,2,5,7,3,8,6]=>[6,2,3,4,8,1,7,5]=>[5,7,1,8,4,3,2,6]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]
[1,4,2,5,7,3,8,6]=>[1,6,3,4,8,2,7,5]=>[5,7,2,8,4,3,6,1]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]
[1,4,5,2,7,3,8,6]=>[1,6,4,3,8,2,7,5]=>[5,7,2,8,3,4,6,1]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[1,4,5,7,2,3,8,6]=>[1,6,5,8,3,2,7,4]=>[4,7,2,3,8,5,6,1]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[4,1,2,5,7,8,3,6]=>[7,2,3,4,8,6,1,5]=>[5,1,6,8,4,3,2,7]=>[[.,[[[.,.],.],.]],[.,[[.,.],.]]]
[1,4,2,5,7,8,3,6]=>[1,7,3,4,8,6,2,5]=>[5,2,6,8,4,3,7,1]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]
[1,4,5,2,7,8,3,6]=>[1,7,4,3,8,6,2,5]=>[5,2,6,8,3,4,7,1]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]
[4,5,1,2,8,3,6,7]=>[6,4,3,2,8,1,7,5]=>[5,7,1,8,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[4,5,1,8,2,3,6,7]=>[6,5,3,8,2,1,7,4]=>[4,7,1,2,8,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[4,5,8,1,2,3,6,7]=>[6,5,8,4,2,1,7,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[4,1,5,2,3,8,6,7]=>[5,2,4,3,1,8,7,6]=>[6,7,8,1,3,4,2,5]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]
[4,5,1,2,3,8,6,7]=>[5,4,3,2,1,8,7,6]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[4,1,2,5,3,8,6,7]=>[5,2,3,4,1,8,7,6]=>[6,7,8,1,4,3,2,5]=>[[.,[[[.,.],.],[.,.]]],[.,[.,.]]]
[1,4,2,5,3,8,6,7]=>[1,5,3,4,2,8,7,6]=>[6,7,8,2,4,3,5,1]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]
[1,4,5,2,3,8,6,7]=>[1,5,4,3,2,8,7,6]=>[6,7,8,2,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]
[4,1,2,5,8,3,6,7]=>[6,2,3,4,8,1,7,5]=>[5,7,1,8,4,3,2,6]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]
[1,4,2,5,8,3,6,7]=>[1,6,3,4,8,2,7,5]=>[5,7,2,8,4,3,6,1]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]
[1,4,5,2,8,3,6,7]=>[1,6,4,3,8,2,7,5]=>[5,7,2,8,3,4,6,1]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[1,4,5,8,2,3,6,7]=>[1,6,5,8,3,2,7,4]=>[4,7,2,3,8,5,6,1]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[4,5,1,2,3,6,8,7]=>[5,4,3,2,1,6,8,7]=>[7,8,6,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]]
[1,4,5,6,2,3,8,7]=>[1,6,5,4,3,2,8,7]=>[7,8,2,3,4,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]
[1,4,5,6,8,2,3,7]=>[1,7,6,4,8,3,2,5]=>[5,2,3,8,4,6,7,1]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]
[4,1,5,2,3,6,7,8]=>[5,2,4,3,1,6,7,8]=>[8,7,6,1,3,4,2,5]=>[[[[.,[[.,.],[.,[.,.]]]],.],.],.]
[4,1,2,5,3,6,7,8]=>[5,2,3,4,1,6,7,8]=>[8,7,6,1,4,3,2,5]=>[[[[.,[[[.,.],.],[.,.]]],.],.],.]
[1,4,5,2,3,6,7,8]=>[1,5,4,3,2,6,7,8]=>[8,7,6,2,3,4,5,1]=>[[[[[.,.],[.,[.,[.,.]]]],.],.],.]
[1,4,5,6,2,3,7,8]=>[1,6,5,4,3,2,7,8]=>[8,7,2,3,4,5,6,1]=>[[[[.,.],[.,[.,[.,[.,.]]]]],.],.]
[4,1,2,5,6,7,3,8]=>[7,2,3,4,5,6,1,8]=>[8,1,6,5,4,3,2,7]=>[[.,[[[[[.,.],.],.],.],[.,.]]],.]
[1,4,2,5,6,7,3,8]=>[1,7,3,4,5,6,2,8]=>[8,2,6,5,4,3,7,1]=>[[[.,.],[[[[.,.],.],.],[.,.]]],.]
[1,4,5,6,2,7,3,8]=>[1,7,5,4,3,6,2,8]=>[8,2,6,3,4,5,7,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[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]=>[2,7,6,5,4,3,8,1]=>[[.,.],[[[[[.,.],.],.],.],[.,.]]]
[1,4,5,2,6,7,8,3]=>[1,8,4,3,5,6,7,2]=>[2,7,6,5,3,4,8,1]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]
[1,4,5,6,2,7,8,3]=>[1,8,5,4,3,6,7,2]=>[2,7,6,3,4,5,8,1]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[1,4,5,6,7,2,8,3]=>[1,8,6,4,5,3,7,2]=>[2,7,3,5,4,6,8,1]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[1,4,5,6,7,8,2,3]=>[1,8,7,4,5,6,3,2]=>[2,3,6,5,4,7,8,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[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]=>[2,7,1,4,5,3,8,6]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[4,6,7,1,2,3,8,5]=>[6,8,5,4,3,1,7,2]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[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]=>[3,1,6,4,5,8,2,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[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]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[4,1,6,7,8,2,3,5]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[4,6,1,7,8,2,3,5]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[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]=>[8,3,1,5,4,7,2,6]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[4,6,1,2,7,3,5,8]=>[6,7,3,4,5,1,2,8]=>[8,2,1,5,4,3,7,6]=>[[[.,.],[[[.,.],.],[[.,.],.]]],.]
[4,1,6,7,2,3,5,8]=>[6,2,7,5,4,1,3,8]=>[8,3,1,4,5,7,2,6]=>[[[.,[.,.]],[.,[.,[[.,.],.]]]],.]
[4,6,7,1,2,3,5,8]=>[6,7,5,4,3,1,2,8]=>[8,2,1,3,4,5,7,6]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[4,1,6,2,3,7,5,8]=>[5,2,7,4,1,6,3,8]=>[8,3,6,1,4,7,2,5]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[4,6,1,2,3,7,5,8]=>[5,7,3,4,1,6,2,8]=>[8,2,6,1,4,3,7,5]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[4,1,2,6,3,7,5,8]=>[5,2,3,7,1,6,4,8]=>[8,4,6,1,7,3,2,5]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]
[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]=>[8,4,1,5,7,3,2,6]=>[[[.,[[.,.],.]],[.,[[.,.],.]]],.]
[1,4,2,6,7,3,5,8]=>[1,6,3,7,5,2,4,8]=>[8,4,2,5,7,3,6,1]=>[[[[.,.],[.,.]],[.,[[.,.],.]]],.]
[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]=>[3,7,6,1,4,8,2,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[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]=>[3,7,6,2,4,8,5,1]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]
[4,1,2,6,7,3,8,5]=>[6,2,3,8,5,1,7,4]=>[4,7,1,5,8,3,2,6]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]
[1,4,6,2,7,3,8,5]=>[1,6,8,4,5,2,7,3]=>[3,7,2,5,4,8,6,1]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]
[1,4,2,6,7,8,3,5]=>[1,7,3,8,5,6,2,4]=>[4,2,6,5,8,3,7,1]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[1,4,6,2,7,8,3,5]=>[1,7,8,4,5,6,2,3]=>[3,2,6,5,4,8,7,1]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]
[1,4,6,7,8,2,3,5]=>[1,7,8,6,5,4,2,3]=>[3,2,4,5,6,8,7,1]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[4,1,6,2,8,3,5,7]=>[6,2,7,4,8,1,3,5]=>[5,3,1,8,4,7,2,6]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]
[4,6,1,2,8,3,5,7]=>[6,7,3,4,8,1,2,5]=>[5,2,1,8,4,3,7,6]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]
[4,1,6,8,2,3,5,7]=>[6,2,7,8,5,1,3,4]=>[4,3,1,5,8,7,2,6]=>[[[.,[.,.]],.],[.,[[[.,.],.],.]]]
[4,6,1,8,2,3,5,7]=>[6,7,3,8,5,1,2,4]=>[4,2,1,5,8,3,7,6]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]
[4,1,6,2,3,8,5,7]=>[5,2,7,4,1,8,3,6]=>[6,3,8,1,4,7,2,5]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]
[4,6,1,2,3,8,5,7]=>[5,7,3,4,1,8,2,6]=>[6,2,8,1,4,3,7,5]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]
[4,1,2,6,3,8,5,7]=>[5,2,3,7,1,8,4,6]=>[6,4,8,1,7,3,2,5]=>[[[.,[[.,.],.]],[.,.]],[[.,.],.]]
[1,4,2,6,8,3,5,7]=>[1,6,3,7,8,2,4,5]=>[5,4,2,8,7,3,6,1]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]
[1,4,6,2,8,3,5,7]=>[1,6,7,4,8,2,3,5]=>[5,3,2,8,4,7,6,1]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]
[1,4,6,8,2,3,5,7]=>[1,6,7,8,5,2,3,4]=>[4,3,2,5,8,7,6,1]=>[[[[.,.],.],.],[.,[[[.,.],.],.]]]
[4,1,6,2,3,5,8,7]=>[5,2,6,4,1,3,8,7]=>[7,8,3,1,4,6,2,5]=>[[[.,[.,.]],[.,[[.,.],.]]],[.,.]]
[4,6,1,2,3,5,8,7]=>[5,6,3,4,1,2,8,7]=>[7,8,2,1,4,3,6,5]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]
[4,1,2,6,3,5,8,7]=>[5,2,3,6,1,4,8,7]=>[7,8,4,1,6,3,2,5]=>[[[.,[[.,.],.]],[[.,.],.]],[.,.]]
[1,4,2,6,3,5,8,7]=>[1,5,3,6,2,4,8,7]=>[7,8,4,2,6,3,5,1]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]
[1,4,6,2,3,5,8,7]=>[1,5,6,4,2,3,8,7]=>[7,8,3,2,4,6,5,1]=>[[[[.,.],.],[.,[[.,.],.]]],[.,.]]
[4,1,2,3,6,5,8,7]=>[4,2,3,1,6,5,8,7]=>[7,8,5,6,1,3,2,4]=>[[[.,[[.,.],[.,.]]],[.,.]],[.,.]]
[1,4,2,3,6,5,8,7]=>[1,4,3,2,6,5,8,7]=>[7,8,5,6,2,3,4,1]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]
[1,2,4,6,3,5,8,7]=>[1,2,5,6,3,4,8,7]=>[7,8,4,3,6,5,2,1]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]
[4,1,2,3,6,8,5,7]=>[4,2,3,1,7,8,5,6]=>[6,5,8,7,1,3,2,4]=>[[[.,[[.,.],[.,.]]],.],[[.,.],.]]
[1,2,4,3,6,8,5,7]=>[1,2,4,3,7,8,5,6]=>[6,5,8,7,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],[[.,.],.]]
[1,2,4,6,3,8,5,7]=>[1,2,5,7,3,8,4,6]=>[6,4,8,3,7,5,2,1]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]
[1,2,4,6,8,3,5,7]=>[1,2,6,7,8,3,4,5]=>[5,4,3,8,7,6,2,1]=>[[[[[.,.],.],.],.],[[[.,.],.],.]]
[4,1,6,2,3,5,7,8]=>[5,2,6,4,1,3,7,8]=>[8,7,3,1,4,6,2,5]=>[[[[.,[.,.]],[.,[[.,.],.]]],.],.]
[4,6,1,2,3,5,7,8]=>[5,6,3,4,1,2,7,8]=>[8,7,2,1,4,3,6,5]=>[[[[.,.],[[.,.],[[.,.],.]]],.],.]
[4,1,2,6,3,5,7,8]=>[5,2,3,6,1,4,7,8]=>[8,7,4,1,6,3,2,5]=>[[[[.,[[.,.],.]],[[.,.],.]],.],.]
[1,4,2,6,3,5,7,8]=>[1,5,3,6,2,4,7,8]=>[8,7,4,2,6,3,5,1]=>[[[[[.,.],[.,.]],[[.,.],.]],.],.]
[1,4,6,2,3,5,7,8]=>[1,5,6,4,2,3,7,8]=>[8,7,3,2,4,6,5,1]=>[[[[[.,.],.],[.,[[.,.],.]]],.],.]
[1,4,2,3,6,5,7,8]=>[1,4,3,2,6,5,7,8]=>[8,7,5,6,2,3,4,1]=>[[[[[.,.],[.,[.,.]]],[.,.]],.],.]
[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]=>[8,5,6,7,1,3,2,4]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[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]=>[8,4,6,3,7,5,2,1]=>[[[[[.,.],.],.],[[.,.],[.,.]]],.]
[1,2,4,6,7,3,5,8]=>[1,2,6,7,5,3,4,8]=>[8,4,3,5,7,6,2,1]=>[[[[[.,.],.],.],[.,[[.,.],.]]],.]
[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]=>[5,7,6,8,2,3,4,1]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[1,2,4,6,3,7,8,5]=>[1,2,5,8,3,6,7,4]=>[4,7,6,3,8,5,2,1]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]
[1,2,4,6,7,3,8,5]=>[1,2,6,8,5,3,7,4]=>[4,7,3,5,8,6,2,1]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]
[1,2,4,6,7,8,3,5]=>[1,2,7,8,5,6,3,4]=>[4,3,6,5,8,7,2,1]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]
[4,1,7,2,8,3,5,6]=>[6,2,8,4,7,1,5,3]=>[3,5,1,7,4,8,2,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[4,7,1,2,8,3,5,6]=>[6,8,3,4,7,1,5,2]=>[2,5,1,7,4,3,8,6]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[4,1,7,8,2,3,5,6]=>[6,2,8,7,5,1,4,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[4,7,1,8,2,3,5,6]=>[6,8,3,7,5,1,4,2]=>[2,4,1,5,7,3,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[4,1,7,2,3,8,5,6]=>[5,2,8,4,1,7,6,3]=>[3,6,7,1,4,8,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[4,7,1,2,3,8,5,6]=>[5,8,3,4,1,7,6,2]=>[2,6,7,1,4,3,8,5]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[1,4,2,7,3,8,5,6]=>[1,5,3,8,2,7,6,4]=>[4,6,7,2,8,3,5,1]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[1,4,7,2,8,3,5,6]=>[1,6,8,4,7,2,5,3]=>[3,5,2,7,4,8,6,1]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[1,4,7,8,2,3,5,6]=>[1,6,8,7,5,2,4,3]=>[3,4,2,5,7,8,6,1]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]
[4,1,7,2,3,5,8,6]=>[5,2,8,4,1,6,7,3]=>[3,7,6,1,4,8,2,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[4,7,1,2,3,5,8,6]=>[5,8,3,4,1,6,7,2]=>[2,7,6,1,4,3,8,5]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]
[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]=>[4,7,6,2,8,3,5,1]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[1,4,7,2,3,5,8,6]=>[1,5,8,4,2,6,7,3]=>[3,7,6,2,4,8,5,1]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]
[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]=>[5,7,6,8,2,3,4,1]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[1,2,4,3,7,5,8,6]=>[1,2,4,3,8,6,7,5]=>[5,7,6,8,3,4,2,1]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]
[1,2,4,7,3,5,8,6]=>[1,2,5,8,3,6,7,4]=>[4,7,6,3,8,5,2,1]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]
[4,1,2,3,7,8,5,6]=>[4,2,3,1,8,7,6,5]=>[5,6,7,8,1,3,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]
[1,4,2,3,7,8,5,6]=>[1,4,3,2,8,7,6,5]=>[5,6,7,8,2,3,4,1]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]
[1,2,4,3,7,8,5,6]=>[1,2,4,3,8,7,6,5]=>[5,6,7,8,3,4,2,1]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]
[1,2,4,7,3,8,5,6]=>[1,2,5,8,3,7,6,4]=>[4,6,7,3,8,5,2,1]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]
[1,2,4,7,8,3,5,6]=>[1,2,6,8,7,3,5,4]=>[4,5,3,7,8,6,2,1]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]
[4,1,7,2,3,5,6,8]=>[5,2,7,4,1,6,3,8]=>[8,3,6,1,4,7,2,5]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[4,7,1,2,3,5,6,8]=>[5,7,3,4,1,6,2,8]=>[8,2,6,1,4,3,7,5]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[4,1,2,7,3,5,6,8]=>[5,2,3,7,1,6,4,8]=>[8,4,6,1,7,3,2,5]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]
[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]=>[8,3,6,2,4,7,5,1]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]
[4,1,2,3,7,5,6,8]=>[4,2,3,1,7,6,5,8]=>[8,5,6,7,1,3,2,4]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[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]=>[8,5,6,7,3,4,2,1]=>[[[[[.,.],.],[.,.]],[.,[.,.]]],.]
[1,2,4,7,3,5,6,8]=>[1,2,5,7,3,6,4,8]=>[8,4,6,3,7,5,2,1]=>[[[[[.,.],.],.],[[.,.],[.,.]]],.]
[4,1,2,3,5,7,6,8]=>[4,2,3,1,5,7,6,8]=>[8,6,7,5,1,3,2,4]=>[[[[.,[[.,.],[.,.]]],.],[.,.]],.]
[1,4,2,3,5,7,6,8]=>[1,4,3,2,5,7,6,8]=>[8,6,7,5,2,3,4,1]=>[[[[[.,.],[.,[.,.]]],.],[.,.]],.]
[1,2,4,5,7,3,6,8]=>[1,2,6,4,7,3,5,8]=>[8,5,3,7,4,6,2,1]=>[[[[[.,.],.],[.,.]],[[.,.],.]],.]
[4,1,2,3,5,7,8,6]=>[4,2,3,1,5,8,7,6]=>[6,7,8,5,1,3,2,4]=>[[[.,[[.,.],[.,.]]],.],[.,[.,.]]]
[1,4,2,3,5,7,8,6]=>[1,4,3,2,5,8,7,6]=>[6,7,8,5,2,3,4,1]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]
[1,2,4,5,7,3,8,6]=>[1,2,6,4,8,3,7,5]=>[5,7,3,8,4,6,2,1]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]
[1,2,4,5,7,8,3,6]=>[1,2,7,4,8,6,3,5]=>[5,3,6,8,4,7,2,1]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]
[4,1,8,2,3,5,6,7]=>[5,2,8,4,1,6,7,3]=>[3,7,6,1,4,8,2,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[4,8,1,2,3,5,6,7]=>[5,8,3,4,1,6,7,2]=>[2,7,6,1,4,3,8,5]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]
[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]=>[4,7,6,2,8,3,5,1]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[1,4,8,2,3,5,6,7]=>[1,5,8,4,2,6,7,3]=>[3,7,6,2,4,8,5,1]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]
[4,1,2,3,8,5,6,7]=>[4,2,3,1,8,6,7,5]=>[5,7,6,8,1,3,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[1,4,2,3,8,5,6,7]=>[1,4,3,2,8,6,7,5]=>[5,7,6,8,2,3,4,1]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[1,2,4,3,8,5,6,7]=>[1,2,4,3,8,6,7,5]=>[5,7,6,8,3,4,2,1]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]
[1,2,4,8,3,5,6,7]=>[1,2,5,8,3,6,7,4]=>[4,7,6,3,8,5,2,1]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]
[4,1,2,3,5,8,6,7]=>[4,2,3,1,5,8,7,6]=>[6,7,8,5,1,3,2,4]=>[[[.,[[.,.],[.,.]]],.],[.,[.,.]]]
[1,4,2,3,5,8,6,7]=>[1,4,3,2,5,8,7,6]=>[6,7,8,5,2,3,4,1]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]
[1,2,4,5,3,8,6,7]=>[1,2,5,4,3,8,7,6]=>[6,7,8,3,4,5,2,1]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]
[1,2,4,5,8,3,6,7]=>[1,2,6,4,8,3,7,5]=>[5,7,3,8,4,6,2,1]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]
[1,2,4,5,6,8,3,7]=>[1,2,7,4,5,8,3,6]=>[6,3,8,5,4,7,2,1]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]
[1,4,2,3,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>[8,7,6,5,2,3,4,1]=>[[[[[[.,.],[.,[.,.]]],.],.],.],.]
[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]=>[1,7,2,5,4,3,6,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[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]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[5,6,7,1,2,3,8,4]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,1,6,2,7,8,3,4]=>[8,2,7,4,5,6,3,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[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]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,1,6,7,8,2,3,4]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,6,1,7,8,2,3,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[8,1,3,5,4,6,2,7]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[5,6,1,2,7,3,4,8]=>[7,6,3,4,5,2,1,8]=>[8,1,2,5,4,3,6,7]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[5,6,1,7,2,3,4,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[5,1,6,2,3,7,4,8]=>[7,2,5,4,3,6,1,8]=>[8,1,6,3,4,5,2,7]=>[[.,[[[.,.],[.,[.,.]]],[.,.]]],.]
[5,1,2,6,3,7,4,8]=>[7,2,3,5,4,6,1,8]=>[8,1,6,4,5,3,2,7]=>[[.,[[[[.,.],.],[.,.]],[.,.]]],.]
[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]=>[8,1,4,5,6,3,2,7]=>[[.,[[[.,.],.],[.,[.,[.,.]]]]],.]
[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]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[5,1,6,2,3,7,8,4]=>[8,2,5,4,3,6,7,1]=>[1,7,6,3,4,5,2,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[5,6,1,2,3,7,8,4]=>[8,5,3,4,2,6,7,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]
[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]=>[2,7,6,4,5,3,8,1]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]
[1,5,6,2,3,7,8,4]=>[1,8,5,4,3,6,7,2]=>[2,7,6,3,4,5,8,1]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[5,1,2,6,7,8,3,4]=>[8,2,3,7,5,6,4,1]=>[1,4,6,5,7,3,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[1,5,2,6,7,8,3,4]=>[1,8,3,7,5,6,4,2]=>[2,4,6,5,7,3,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,5,6,2,7,8,3,4]=>[1,8,7,4,5,6,3,2]=>[2,3,6,5,4,7,8,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[1,5,6,7,2,8,3,4]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,5,6,7,8,2,3,4]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,1,6,2,8,3,4,7]=>[7,2,6,4,8,3,1,5]=>[5,1,3,8,4,6,2,7]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]
[5,6,1,8,2,3,4,7]=>[7,6,3,8,5,2,1,4]=>[4,1,2,5,8,3,6,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[5,1,6,2,3,8,4,7]=>[7,2,5,4,3,8,1,6]=>[6,1,8,3,4,5,2,7]=>[[.,[[.,.],[.,[.,.]]]],[[.,.],.]]
[5,6,1,2,3,8,4,7]=>[7,5,3,4,2,8,1,6]=>[6,1,8,2,4,3,5,7]=>[[.,[.,[[.,.],[.,.]]]],[[.,.],.]]
[5,1,2,6,3,8,4,7]=>[7,2,3,5,4,8,1,6]=>[6,1,8,4,5,3,2,7]=>[[.,[[[.,.],.],[.,.]]],[[.,.],.]]
[1,5,2,6,3,8,4,7]=>[1,7,3,5,4,8,2,6]=>[6,2,8,4,5,3,7,1]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]
[5,1,2,6,8,3,4,7]=>[7,2,3,6,8,4,1,5]=>[5,1,4,8,6,3,2,7]=>[[.,[[[.,.],.],.]],[[.,[.,.]],.]]
[1,5,6,2,8,3,4,7]=>[1,7,6,4,8,3,2,5]=>[5,2,3,8,4,6,7,1]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]
[5,1,6,2,3,4,8,7]=>[6,2,5,4,3,1,8,7]=>[7,8,1,3,4,5,2,6]=>[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]
[5,6,1,2,3,4,8,7]=>[6,5,3,4,2,1,8,7]=>[7,8,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]
[5,1,2,6,3,4,8,7]=>[6,2,3,5,4,1,8,7]=>[7,8,1,4,5,3,2,6]=>[[.,[[[.,.],.],[.,[.,.]]]],[.,.]]
[1,5,6,2,3,4,8,7]=>[1,6,5,4,3,2,8,7]=>[7,8,2,3,4,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]
[1,5,2,3,6,4,8,7]=>[1,6,3,4,5,2,8,7]=>[7,8,2,5,4,3,6,1]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]
[1,2,5,6,3,4,8,7]=>[1,2,6,5,4,3,8,7]=>[7,8,3,4,5,6,2,1]=>[[[[.,.],.],[.,[.,[.,.]]]],[.,.]]
[1,2,5,6,3,8,4,7]=>[1,2,7,5,4,8,3,6]=>[6,3,8,4,5,7,2,1]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]
[5,1,6,2,3,4,7,8]=>[6,2,5,4,3,1,7,8]=>[8,7,1,3,4,5,2,6]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[5,1,2,6,3,4,7,8]=>[6,2,3,5,4,1,7,8]=>[8,7,1,4,5,3,2,6]=>[[[.,[[[.,.],.],[.,[.,.]]]],.],.]
[1,5,2,6,3,4,7,8]=>[1,6,3,5,4,2,7,8]=>[8,7,2,4,5,3,6,1]=>[[[[.,.],[[.,.],[.,[.,.]]]],.],.]
[1,5,6,2,3,4,7,8]=>[1,6,5,4,3,2,7,8]=>[8,7,2,3,4,5,6,1]=>[[[[.,.],[.,[.,[.,[.,.]]]]],.],.]
[1,5,2,3,6,4,7,8]=>[1,6,3,4,5,2,7,8]=>[8,7,2,5,4,3,6,1]=>[[[[.,.],[[[.,.],.],[.,.]]],.],.]
[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]=>[8,1,6,5,4,3,2,7]=>[[.,[[[[[.,.],.],.],.],[.,.]]],.]
[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]=>[8,3,6,5,4,7,2,1]=>[[[[.,.],.],[[[.,.],.],[.,.]]],.]
[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]=>[2,7,6,5,4,3,8,1]=>[[.,.],[[[[[.,.],.],.],.],[.,.]]]
[1,2,5,3,6,7,8,4]=>[1,2,8,4,5,6,7,3]=>[3,7,6,5,4,8,2,1]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]
[1,2,5,6,3,7,8,4]=>[1,2,8,5,4,6,7,3]=>[3,7,6,4,5,8,2,1]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]
[1,2,5,6,7,8,3,4]=>[1,2,8,7,5,6,4,3]=>[3,4,6,5,7,8,2,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[5,7,1,2,8,3,4,6]=>[7,8,3,4,6,5,1,2]=>[2,1,5,6,4,3,8,7]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]
[5,1,7,8,2,3,4,6]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[5,7,1,8,2,3,4,6]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[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]=>[3,1,6,5,4,8,2,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[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]=>[4,1,6,5,8,3,2,7]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[1,5,2,7,3,8,4,6]=>[1,7,3,8,5,6,2,4]=>[4,2,6,5,8,3,7,1]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[1,5,7,2,3,8,4,6]=>[1,7,8,4,5,6,2,3]=>[3,2,6,5,4,8,7,1]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]
[1,5,7,8,2,3,4,6]=>[1,7,8,6,5,4,2,3]=>[3,2,4,5,6,8,7,1]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[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]=>[2,7,1,5,4,3,8,6]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]
[5,1,2,7,3,4,8,6]=>[6,2,3,8,5,1,7,4]=>[4,7,1,5,8,3,2,6]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]
[1,5,2,7,3,4,8,6]=>[1,6,3,8,5,2,7,4]=>[4,7,2,5,8,3,6,1]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[1,5,7,2,3,4,8,6]=>[1,6,8,4,5,2,7,3]=>[3,7,2,5,4,8,6,1]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]
[5,1,2,3,7,4,8,6]=>[6,2,3,4,8,1,7,5]=>[5,7,1,8,4,3,2,6]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]
[1,5,2,3,7,4,8,6]=>[1,6,3,4,8,2,7,5]=>[5,7,2,8,4,3,6,1]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]
[1,2,5,3,7,4,8,6]=>[1,2,6,4,8,3,7,5]=>[5,7,3,8,4,6,2,1]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]
[1,2,5,7,3,4,8,6]=>[1,2,6,8,5,3,7,4]=>[4,7,3,5,8,6,2,1]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]
[5,1,2,3,7,8,4,6]=>[7,2,3,4,8,6,1,5]=>[5,1,6,8,4,3,2,7]=>[[.,[[[.,.],.],.]],[.,[[.,.],.]]]
[1,5,2,3,7,8,4,6]=>[1,7,3,4,8,6,2,5]=>[5,2,6,8,4,3,7,1]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]
[1,2,5,3,7,8,4,6]=>[1,2,7,4,8,6,3,5]=>[5,3,6,8,4,7,2,1]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]
[1,2,5,7,3,8,4,6]=>[1,2,7,8,5,6,3,4]=>[4,3,6,5,8,7,2,1]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]
[1,2,5,7,8,3,4,6]=>[1,2,7,8,6,5,3,4]=>[4,3,5,6,8,7,2,1]=>[[[[.,.],.],.],[.,[.,[[.,.],.]]]]
[5,1,7,2,3,4,6,8]=>[6,2,7,4,5,1,3,8]=>[8,3,1,5,4,7,2,6]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[5,7,1,2,3,4,6,8]=>[6,7,3,4,5,1,2,8]=>[8,2,1,5,4,3,7,6]=>[[[.,.],[[[.,.],.],[[.,.],.]]],.]
[5,1,2,7,3,4,6,8]=>[6,2,3,7,5,1,4,8]=>[8,4,1,5,7,3,2,6]=>[[[.,[[.,.],.]],[.,[[.,.],.]]],.]
[1,5,2,7,3,4,6,8]=>[1,6,3,7,5,2,4,8]=>[8,4,2,5,7,3,6,1]=>[[[[.,.],[.,.]],[.,[[.,.],.]]],.]
[1,5,7,2,3,4,6,8]=>[1,6,7,4,5,2,3,8]=>[8,3,2,5,4,7,6,1]=>[[[[.,.],.],[[.,.],[[.,.],.]]],.]
[1,2,5,3,7,4,6,8]=>[1,2,6,4,7,3,5,8]=>[8,5,3,7,4,6,2,1]=>[[[[[.,.],.],[.,.]],[[.,.],.]],.]
[1,2,5,7,3,4,6,8]=>[1,2,6,7,5,3,4,8]=>[8,4,3,5,7,6,2,1]=>[[[[[.,.],.],.],[.,[[.,.],.]]],.]
[1,2,5,3,4,7,6,8]=>[1,2,5,4,3,7,6,8]=>[8,6,7,3,4,5,2,1]=>[[[[[.,.],.],[.,[.,.]]],[.,.]],.]
[1,2,3,5,7,4,6,8]=>[1,2,3,6,7,4,5,8]=>[8,5,4,7,6,3,2,1]=>[[[[[[.,.],.],.],.],[[.,.],.]],.]
[5,1,2,3,4,7,8,6]=>[5,2,3,4,1,8,7,6]=>[6,7,8,1,4,3,2,5]=>[[.,[[[.,.],.],[.,.]]],[.,[.,.]]]
[1,5,2,3,4,7,8,6]=>[1,5,3,4,2,8,7,6]=>[6,7,8,2,4,3,5,1]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]
[1,2,5,3,4,7,8,6]=>[1,2,5,4,3,8,7,6]=>[6,7,8,3,4,5,2,1]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]
[1,2,3,5,7,4,8,6]=>[1,2,3,6,8,4,7,5]=>[5,7,4,8,6,3,2,1]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]
[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]=>[2,7,1,5,4,3,8,6]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]
[5,1,2,8,3,4,6,7]=>[6,2,3,8,5,1,7,4]=>[4,7,1,5,8,3,2,6]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]
[1,5,2,8,3,4,6,7]=>[1,6,3,8,5,2,7,4]=>[4,7,2,5,8,3,6,1]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[1,5,8,2,3,4,6,7]=>[1,6,8,4,5,2,7,3]=>[3,7,2,5,4,8,6,1]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]
[5,1,2,3,8,4,6,7]=>[6,2,3,4,8,1,7,5]=>[5,7,1,8,4,3,2,6]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]
[1,5,2,3,8,4,6,7]=>[1,6,3,4,8,2,7,5]=>[5,7,2,8,4,3,6,1]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]
[1,2,5,3,8,4,6,7]=>[1,2,6,4,8,3,7,5]=>[5,7,3,8,4,6,2,1]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]
[1,2,5,8,3,4,6,7]=>[1,2,6,8,5,3,7,4]=>[4,7,3,5,8,6,2,1]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]
[5,1,2,3,4,8,6,7]=>[5,2,3,4,1,8,7,6]=>[6,7,8,1,4,3,2,5]=>[[.,[[[.,.],.],[.,.]]],[.,[.,.]]]
[1,5,2,3,4,8,6,7]=>[1,5,3,4,2,8,7,6]=>[6,7,8,2,4,3,5,1]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]
[1,2,5,3,4,8,6,7]=>[1,2,5,4,3,8,7,6]=>[6,7,8,3,4,5,2,1]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]
[1,2,3,5,8,4,6,7]=>[1,2,3,6,8,4,7,5]=>[5,7,4,8,6,3,2,1]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]
[5,1,2,3,4,6,8,7]=>[5,2,3,4,1,6,8,7]=>[7,8,6,1,4,3,2,5]=>[[[.,[[[.,.],.],[.,.]]],.],[.,.]]
[1,2,5,3,4,6,8,7]=>[1,2,5,4,3,6,8,7]=>[7,8,6,3,4,5,2,1]=>[[[[[.,.],.],[.,[.,.]]],.],[.,.]]
[1,2,5,3,4,6,7,8]=>[1,2,5,4,3,6,7,8]=>[8,7,6,3,4,5,2,1]=>[[[[[[.,.],.],[.,[.,.]]],.],.],.]
[6,1,7,2,8,3,4,5]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,7,1,2,8,3,4,5]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[6,1,7,8,2,3,4,5]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,7,1,8,2,3,4,5]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,1,7,2,3,8,4,5]=>[8,2,7,4,5,6,3,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[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]=>[1,4,6,5,7,3,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[1,6,2,7,3,8,4,5]=>[1,8,3,7,5,6,4,2]=>[2,4,6,5,7,3,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,6,7,2,3,8,4,5]=>[1,8,7,4,5,6,3,2]=>[2,3,6,5,4,7,8,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[6,1,2,7,8,3,4,5]=>[8,2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[1,6,2,7,8,3,4,5]=>[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,6,7,2,8,3,4,5]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,6,7,8,2,3,4,5]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,7,2,5,4,3,6,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[1,6,2,7,3,4,8,5]=>[1,8,3,6,5,4,7,2]=>[2,7,4,5,6,3,8,1]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[1,6,7,2,3,4,8,5]=>[1,8,6,4,5,3,7,2]=>[2,7,3,5,4,6,8,1]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[6,1,2,3,7,4,8,5]=>[8,2,3,4,6,5,7,1]=>[1,7,5,6,4,3,2,8]=>[.,[[[[[.,.],.],.],[.,.]],[.,.]]]
[1,6,2,3,7,4,8,5]=>[1,8,3,4,6,5,7,2]=>[2,7,5,6,4,3,8,1]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]
[6,1,2,3,7,8,4,5]=>[8,2,3,4,7,6,5,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[1,6,2,3,7,8,4,5]=>[1,8,3,4,7,6,5,2]=>[2,5,6,7,4,3,8,1]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[1,2,6,3,7,8,4,5]=>[1,2,8,4,7,6,5,3]=>[3,5,6,7,4,8,2,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[1,2,6,7,3,8,4,5]=>[1,2,8,7,5,6,4,3]=>[3,4,6,5,7,8,2,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[1,2,6,7,8,3,4,5]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[6,1,7,2,3,4,5,8]=>[7,2,6,4,5,3,1,8]=>[8,1,3,5,4,6,2,7]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[6,1,2,7,3,4,5,8]=>[7,2,3,6,5,4,1,8]=>[8,1,4,5,6,3,2,7]=>[[.,[[[.,.],.],[.,[.,[.,.]]]]],.]
[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]=>[8,1,5,6,4,3,2,7]=>[[.,[[[[.,.],.],.],[.,[.,.]]]],.]
[1,2,6,3,7,4,5,8]=>[1,2,7,4,6,5,3,8]=>[8,3,5,6,4,7,2,1]=>[[[[.,.],.],[[.,.],[.,[.,.]]]],.]
[1,2,6,7,3,4,5,8]=>[1,2,7,6,5,4,3,8]=>[8,3,4,5,6,7,2,1]=>[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]
[6,1,2,3,4,7,5,8]=>[7,2,3,4,5,6,1,8]=>[8,1,6,5,4,3,2,7]=>[[.,[[[[[.,.],.],.],.],[.,.]]],.]
[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]=>[8,3,6,5,4,7,2,1]=>[[[[.,.],.],[[[.,.],.],[.,.]]],.]
[1,2,3,6,7,4,5,8]=>[1,2,3,7,6,5,4,8]=>[8,4,5,6,7,3,2,1]=>[[[[[.,.],.],.],[.,[.,[.,.]]]],.]
[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]=>[2,7,6,5,4,3,8,1]=>[[.,.],[[[[[.,.],.],.],.],[.,.]]]
[1,2,6,3,4,7,8,5]=>[1,2,8,4,5,6,7,3]=>[3,7,6,5,4,8,2,1]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]
[1,2,3,6,4,7,8,5]=>[1,2,3,8,5,6,7,4]=>[4,7,6,5,8,3,2,1]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]
[1,2,3,6,7,4,8,5]=>[1,2,3,8,6,5,7,4]=>[4,7,5,6,8,3,2,1]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]
[1,2,3,6,7,8,4,5]=>[1,2,3,8,7,6,5,4]=>[4,5,6,7,8,3,2,1]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[6,1,8,2,3,4,5,7]=>[7,2,8,4,5,6,1,3]=>[3,1,6,5,4,8,2,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[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]=>[4,1,6,5,8,3,2,7]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[1,6,2,8,3,4,5,7]=>[1,7,3,8,5,6,2,4]=>[4,2,6,5,8,3,7,1]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[1,6,8,2,3,4,5,7]=>[1,7,8,4,5,6,2,3]=>[3,2,6,5,4,8,7,1]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]
[6,1,2,3,8,4,5,7]=>[7,2,3,4,8,6,1,5]=>[5,1,6,8,4,3,2,7]=>[[.,[[[.,.],.],.]],[.,[[.,.],.]]]
[1,6,2,3,8,4,5,7]=>[1,7,3,4,8,6,2,5]=>[5,2,6,8,4,3,7,1]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]
[1,2,6,3,8,4,5,7]=>[1,2,7,4,8,6,3,5]=>[5,3,6,8,4,7,2,1]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]
[1,2,6,8,3,4,5,7]=>[1,2,7,8,5,6,3,4]=>[4,3,6,5,8,7,2,1]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]
[1,2,6,3,4,8,5,7]=>[1,2,7,4,5,8,3,6]=>[6,3,8,5,4,7,2,1]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]
[1,6,2,3,4,5,8,7]=>[1,6,3,4,5,2,8,7]=>[7,8,2,5,4,3,6,1]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]
[1,2,3,4,6,8,5,7]=>[1,2,3,4,7,8,5,6]=>[6,5,8,7,4,3,2,1]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]
[1,6,2,3,4,5,7,8]=>[1,6,3,4,5,2,7,8]=>[8,7,2,5,4,3,6,1]=>[[[[.,.],[[[.,.],.],[.,.]]],.],.]
[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]=>[8,7,4,5,6,3,2,1]=>[[[[[[.,.],.],.],[.,[.,.]]],.],.]
[7,1,8,2,3,4,5,6]=>[8,2,7,4,5,6,3,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[7,1,2,8,3,4,5,6]=>[8,2,3,7,5,6,4,1]=>[1,4,6,5,7,3,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[1,7,2,8,3,4,5,6]=>[1,8,3,7,5,6,4,2]=>[2,4,6,5,7,3,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,7,8,2,3,4,5,6]=>[1,8,7,4,5,6,3,2]=>[2,3,6,5,4,7,8,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[7,1,2,3,8,4,5,6]=>[8,2,3,4,7,6,5,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[1,7,2,3,8,4,5,6]=>[1,8,3,4,7,6,5,2]=>[2,5,6,7,4,3,8,1]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[1,2,7,3,8,4,5,6]=>[1,2,8,4,7,6,5,3]=>[3,5,6,7,4,8,2,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[1,2,7,8,3,4,5,6]=>[1,2,8,7,5,6,4,3]=>[3,4,6,5,7,8,2,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[7,1,2,3,4,8,5,6]=>[8,2,3,4,5,7,6,1]=>[1,6,7,5,4,3,2,8]=>[.,[[[[[.,.],.],.],.],[.,[.,.]]]]
[1,2,3,7,4,8,5,6]=>[1,2,3,8,5,7,6,4]=>[4,6,7,5,8,3,2,1]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]
[1,2,3,7,8,4,5,6]=>[1,2,3,8,7,6,5,4]=>[4,5,6,7,8,3,2,1]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[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]=>[2,7,6,5,4,3,8,1]=>[[.,.],[[[[[.,.],.],.],.],[.,.]]]
[1,2,7,3,4,5,8,6]=>[1,2,8,4,5,6,7,3]=>[3,7,6,5,4,8,2,1]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]
[1,2,3,7,4,5,8,6]=>[1,2,3,8,5,6,7,4]=>[4,7,6,5,8,3,2,1]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]
[1,2,3,4,7,5,8,6]=>[1,2,3,4,8,6,7,5]=>[5,7,6,8,4,3,2,1]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]
[1,2,3,4,7,8,5,6]=>[1,2,3,4,8,7,6,5]=>[5,6,7,8,4,3,2,1]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]
[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]=>[8,3,6,5,4,7,2,1]=>[[[[.,.],.],[[[.,.],.],[.,.]]],.]
[1,2,3,4,7,5,6,8]=>[1,2,3,4,7,6,5,8]=>[8,5,6,7,4,3,2,1]=>[[[[[[.,.],.],.],.],[.,[.,.]]],.]
[1,8,2,3,4,5,6,7]=>[1,8,3,4,5,6,7,2]=>[2,7,6,5,4,3,8,1]=>[[.,.],[[[[[.,.],.],.],.],[.,.]]]
[1,2,8,3,4,5,6,7]=>[1,2,8,4,5,6,7,3]=>[3,7,6,5,4,8,2,1]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]
[1,2,3,8,4,5,6,7]=>[1,2,3,8,5,6,7,4]=>[4,7,6,5,8,3,2,1]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]
[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,6,7,5]=>[5,7,6,8,4,3,2,1]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]
[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,7,6]=>[6,7,8,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],[.,[.,.]]]
[5,3,2,6,1,4,8,7]=>[6,5,3,4,2,1,8,7]=>[7,8,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,4,5,2,3,8,1,6]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,4,5,2,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[5,4,6,2,1,3,8,7]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[3,6,1,5,4,2,8,7]=>[6,5,3,4,2,1,8,7]=>[7,8,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]
[4,6,5,1,3,2,8,7]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[5,6,4,3,1,2,8,7]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[7,5,4,3,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[4,7,5,1,3,8,2,6]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[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]=>[3,4,6,5,7,8,1,2]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,8,4,3,1,7,6,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,1,8,6,7,4,5,3]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,7,6,8,4,3,5]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[3,7,1,6,8,4,2,5]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[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]=>[3,1,6,2,4,8,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,3,2,6,8,4,1,5]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,3,2,7,8,1,4,5]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[5,3,2,7,1,8,4,6]=>[7,5,3,8,2,6,1,4]=>[4,1,6,2,8,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[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]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[7,3,2,8,6,5,1,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[4,5,8,1,2,7,6,3]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[3,5,1,8,2,7,6,4]=>[5,8,3,7,1,6,4,2]=>[2,4,6,1,7,3,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[2,1,5,8,3,7,6,4]=>[2,1,8,7,5,6,4,3]=>[3,4,6,5,7,8,1,2]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[2,1,6,8,7,3,5,4]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[3,6,1,8,7,2,5,4]=>[6,8,3,7,5,1,4,2]=>[2,4,1,5,7,3,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[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]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[2,1,7,8,6,5,3,4]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[3,8,1,7,6,5,4,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[9,10,7,8,5,6,1,2,3,4]=>[[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]],[.,.]]
[4,3,2,1,6,5,8,7,10,9]=>[4,3,2,1,6,5,8,7,10,9]=>[9,10,7,8,5,6,1,2,3,4]=>[[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]],[.,.]]
[4,5,6,1,2,3,8,7,10,9]=>[6,5,4,3,2,1,8,7,10,9]=>[9,10,7,8,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]],[.,.]]
[2,1,5,6,3,4,8,7,10,9]=>[2,1,6,5,4,3,8,7,10,9]=>[9,10,7,8,3,4,5,6,1,2]=>[[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]],[.,.]]
[2,1,6,5,4,3,8,7,10,9]=>[2,1,6,5,4,3,8,7,10,9]=>[9,10,7,8,3,4,5,6,1,2]=>[[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]],[.,.]]
[6,5,4,3,2,1,8,7,10,9]=>[6,5,4,3,2,1,8,7,10,9]=>[9,10,7,8,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]],[.,.]]
[8,7,4,3,6,5,2,1,10,9]=>[8,7,6,5,4,3,2,1,10,9]=>[9,10,1,2,3,4,5,6,7,8]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]]
[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]=>[9,10,1,2,3,4,5,6,7,8]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]]
[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]=>[9,10,5,6,7,8,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]],[.,.]]
[2,1,4,3,7,8,5,6,10,9]=>[2,1,4,3,8,7,6,5,10,9]=>[9,10,5,6,7,8,3,4,1,2]=>[[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]],[.,.]]
[2,1,4,3,8,7,6,5,10,9]=>[2,1,4,3,8,7,6,5,10,9]=>[9,10,5,6,7,8,3,4,1,2]=>[[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]],[.,.]]
[4,3,2,1,8,7,6,5,10,9]=>[4,3,2,1,8,7,6,5,10,9]=>[9,10,5,6,7,8,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]],[.,.]]
[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]=>[9,10,1,2,3,4,5,6,7,8]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]]
[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]=>[3,4,5,6,7,8,9,10,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[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]=>[3,4,5,6,7,8,9,10,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[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]=>[5,6,7,8,9,10,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,4,3,8,9,10,5,6,7]=>[2,1,4,3,10,9,8,7,6,5]=>[5,6,7,8,9,10,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,5,6,3,4,9,10,7,8]=>[2,1,6,5,4,3,10,9,8,7]=>[7,8,9,10,3,4,5,6,1,2]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[4,5,6,1,2,3,9,10,7,8]=>[6,5,4,3,2,1,10,9,8,7]=>[7,8,9,10,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]]
[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]=>[7,8,9,10,5,6,3,4,1,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,[.,[.,.]]]]
[2,1,4,3,6,5,10,9,8,7]=>[2,1,4,3,6,5,10,9,8,7]=>[7,8,9,10,5,6,3,4,1,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,[.,[.,.]]]]
[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]=>[7,8,9,10,3,4,5,6,1,2]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[6,5,4,3,2,1,10,9,8,7]=>[6,5,4,3,2,1,10,9,8,7]=>[7,8,9,10,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]]
[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]=>[5,6,7,8,9,10,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[4,3,2,1,10,9,8,7,6,5]=>[4,3,2,1,10,9,8,7,6,5]=>[5,6,7,8,9,10,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,10,9,8,7,6,5,4,3]=>[2,1,10,9,8,7,6,5,4,3]=>[3,4,5,6,7,8,9,10,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[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]=>[8,7,6,3,1,5,2,4]=>[[[[[.,[.,.]],[[.,.],.]],.],.],.]
[4,2,5,1,3,6,7,8]=>[5,4,3,2,1,6,7,8]=>[8,7,6,1,2,3,4,5]=>[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]
[5,2,4,1,3,6,7,8]=>[5,4,3,2,1,6,7,8]=>[8,7,6,1,2,3,4,5]=>[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]
[3,2,6,1,4,5,7,8]=>[4,2,6,1,5,3,7,8]=>[8,7,3,5,1,6,2,4]=>[[[[.,[.,.]],[[.,.],[.,.]]],.],.]
[4,2,6,1,3,5,7,8]=>[5,4,6,2,1,3,7,8]=>[8,7,3,1,2,6,4,5]=>[[[[.,[.,.]],[[.,[.,.]],.]],.],.]
[5,3,6,1,2,4,7,8]=>[6,5,4,3,2,1,7,8]=>[8,7,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[6,2,4,1,3,5,7,8]=>[6,4,5,2,3,1,7,8]=>[8,7,1,3,2,5,4,6]=>[[[.,[[.,.],[[.,.],[.,.]]]],.],.]
[6,3,5,1,2,4,7,8]=>[6,5,4,3,2,1,7,8]=>[8,7,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[5,2,7,1,3,4,6,8]=>[6,4,7,2,5,1,3,8]=>[8,3,1,5,2,7,4,6]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[5,3,7,1,2,4,6,8]=>[6,5,7,4,2,1,3,8]=>[8,3,1,2,4,7,5,6]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[5,4,7,1,2,3,6,8]=>[6,5,7,4,2,1,3,8]=>[8,3,1,2,4,7,5,6]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[6,2,7,1,3,4,5,8]=>[7,4,6,2,5,3,1,8]=>[8,1,3,5,2,6,4,7]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[6,3,7,1,2,4,5,8]=>[7,5,6,4,2,3,1,8]=>[8,1,3,2,4,6,5,7]=>[[.,[[.,.],[.,[[.,.],[.,.]]]]],.]
[6,4,7,1,2,3,5,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,3,5,1,2,4,6,8]=>[7,5,6,4,2,3,1,8]=>[8,1,3,2,4,6,5,7]=>[[.,[[.,.],[.,[[.,.],[.,.]]]]],.]
[7,3,6,1,2,4,5,8]=>[7,5,6,4,2,3,1,8]=>[8,1,3,2,4,6,5,7]=>[[.,[[.,.],[.,[[.,.],[.,.]]]]],.]
[7,4,6,1,2,3,5,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[3,2,8,1,4,5,6,7]=>[4,2,8,1,5,6,7,3]=>[3,7,6,5,1,8,2,4]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]
[4,2,8,1,3,5,6,7]=>[5,4,8,2,1,6,7,3]=>[3,7,6,1,2,8,4,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[5,2,8,1,3,4,6,7]=>[6,4,8,2,5,1,7,3]=>[3,7,1,5,2,8,4,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[5,4,8,1,2,3,6,7]=>[6,5,8,4,2,1,7,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[6,2,8,1,3,4,5,7]=>[7,4,8,2,5,6,1,3]=>[3,1,6,5,2,8,4,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[6,3,8,1,2,4,5,7]=>[7,5,8,4,2,6,1,3]=>[3,1,6,2,4,8,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[7,2,8,1,3,4,5,6]=>[8,4,7,2,5,6,3,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[7,3,8,1,2,4,5,6]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[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]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,2,4,1,3,5,6,7]=>[8,4,5,2,3,6,7,1]=>[1,7,6,3,2,5,4,8]=>[.,[[[[.,.],[[.,.],.]],.],[.,.]]]
[8,3,5,1,2,4,6,7]=>[8,5,6,4,2,3,7,1]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[8,3,6,1,2,4,5,7]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[8,3,7,1,2,4,5,6]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[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]=>[8,4,3,1,7,6,2,5]=>[[[[.,[.,.]],.],[[[.,.],.],.]],.]
[4,2,5,7,1,3,6,8]=>[6,5,3,7,2,1,4,8]=>[8,4,1,2,7,3,5,6]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[4,3,5,7,1,2,6,8]=>[6,5,3,7,2,1,4,8]=>[8,4,1,2,7,3,5,6]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[5,2,4,7,1,3,6,8]=>[6,5,3,7,2,1,4,8]=>[8,4,1,2,7,3,5,6]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[5,3,4,7,1,2,6,8]=>[6,5,3,7,2,1,4,8]=>[8,4,1,2,7,3,5,6]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[4,2,6,7,1,3,5,8]=>[6,5,7,4,2,1,3,8]=>[8,3,1,2,4,7,5,6]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[5,2,6,7,1,3,4,8]=>[7,5,6,4,2,3,1,8]=>[8,1,3,2,4,6,5,7]=>[[.,[[.,.],[.,[[.,.],[.,.]]]]],.]
[5,3,6,7,1,2,4,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,2,5,7,1,3,4,8]=>[7,5,6,4,2,3,1,8]=>[8,1,3,2,4,6,5,7]=>[[.,[[.,.],[.,[[.,.],[.,.]]]]],.]
[6,3,5,7,1,2,4,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,2,4,6,1,3,5,8]=>[7,5,6,4,2,3,1,8]=>[8,1,3,2,4,6,5,7]=>[[.,[[.,.],[.,[[.,.],[.,.]]]]],.]
[7,3,4,6,1,2,5,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,3,5,6,1,2,4,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[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]=>[4,7,1,2,8,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[4,3,5,8,1,2,6,7]=>[6,5,3,8,2,1,7,4]=>[4,7,1,2,8,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[5,2,4,8,1,3,6,7]=>[6,5,3,8,2,1,7,4]=>[4,7,1,2,8,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[3,2,6,8,1,4,5,7]=>[5,2,7,8,1,6,3,4]=>[4,3,6,1,8,7,2,5]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]
[4,2,6,8,1,3,5,7]=>[6,5,7,8,2,1,3,4]=>[4,3,1,2,8,7,5,6]=>[[[.,[.,.]],.],[[[.,[.,.]],.],.]]
[4,3,6,8,1,2,5,7]=>[6,5,7,8,2,1,3,4]=>[4,3,1,2,8,7,5,6]=>[[[.,[.,.]],.],[[[.,[.,.]],.],.]]
[5,2,6,8,1,3,4,7]=>[7,5,6,8,2,3,1,4]=>[4,1,3,2,8,6,5,7]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]
[6,2,4,8,1,3,5,7]=>[7,5,6,8,2,3,1,4]=>[4,1,3,2,8,6,5,7]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]
[6,3,4,8,1,2,5,7]=>[7,6,5,8,3,2,1,4]=>[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[6,2,5,8,1,3,4,7]=>[7,5,6,8,2,3,1,4]=>[4,1,3,2,8,6,5,7]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]
[6,3,5,8,1,2,4,7]=>[7,6,5,8,3,2,1,4]=>[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[6,4,5,8,1,2,3,7]=>[7,6,5,8,3,2,1,4]=>[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[3,2,7,8,1,4,5,6]=>[5,2,8,7,1,6,4,3]=>[3,4,6,1,7,8,2,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[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]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[5,4,7,8,1,2,3,6]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[6,2,7,8,1,3,4,5]=>[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[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]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[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]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[8,2,5,6,1,3,4,7]=>[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[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]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[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]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[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]=>[8,7,2,1,4,3,6,5]=>[[[[.,.],[[.,.],[[.,.],.]]],.],.]
[4,6,2,5,1,3,7,8]=>[6,5,4,3,2,1,7,8]=>[8,7,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[4,6,3,5,1,2,7,8]=>[6,5,4,3,2,1,7,8]=>[8,7,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[5,6,2,4,1,3,7,8]=>[6,5,4,3,2,1,7,8]=>[8,7,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[3,7,2,5,1,4,6,8]=>[5,7,3,6,1,4,2,8]=>[8,2,4,1,6,3,7,5]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[4,7,3,5,1,2,6,8]=>[6,7,5,4,3,1,2,8]=>[8,2,1,3,4,5,7,6]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[5,7,2,4,1,3,6,8]=>[6,7,5,4,3,1,2,8]=>[8,2,1,3,4,5,7,6]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[5,7,3,4,1,2,6,8]=>[6,7,5,4,3,1,2,8]=>[8,2,1,3,4,5,7,6]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[3,7,2,6,1,4,5,8]=>[5,7,3,6,1,4,2,8]=>[8,2,4,1,6,3,7,5]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[4,7,3,6,1,2,5,8]=>[6,7,5,4,3,1,2,8]=>[8,2,1,3,4,5,7,6]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[5,7,2,6,1,3,4,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,7,3,6,1,2,4,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,7,2,5,1,3,4,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,8,2,5,1,3,6,7]=>[6,8,5,4,3,1,7,2]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[5,8,2,4,1,3,6,7]=>[6,8,5,4,3,1,7,2]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[5,8,3,4,1,2,6,7]=>[6,8,5,4,3,1,7,2]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[3,8,2,6,1,4,5,7]=>[5,8,3,7,1,6,4,2]=>[2,4,6,1,7,3,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[4,8,2,6,1,3,5,7]=>[6,8,5,7,3,1,4,2]=>[2,4,1,3,7,5,8,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[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]=>[2,4,6,1,7,3,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[4,8,2,7,1,3,5,6]=>[6,8,5,7,3,1,4,2]=>[2,4,1,3,7,5,8,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[4,8,3,7,1,2,5,6]=>[6,8,5,7,3,1,4,2]=>[2,4,1,3,7,5,8,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[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]=>[8,7,4,1,6,2,3,5]=>[[[[.,[.,[.,.]]],[[.,.],.]],.],.]
[5,3,2,6,1,4,7,8]=>[6,5,3,4,2,1,7,8]=>[8,7,1,2,4,3,5,6]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[5,4,2,6,1,3,7,8]=>[6,5,3,4,2,1,7,8]=>[8,7,1,2,4,3,5,6]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[6,3,2,5,1,4,7,8]=>[6,5,3,4,2,1,7,8]=>[8,7,1,2,4,3,5,6]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[6,4,2,5,1,3,7,8]=>[6,5,4,3,2,1,7,8]=>[8,7,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[6,5,2,4,1,3,7,8]=>[6,5,4,3,2,1,7,8]=>[8,7,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[4,3,2,7,1,5,6,8]=>[5,3,2,7,1,6,4,8]=>[8,4,6,1,7,2,3,5]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[5,3,2,7,1,4,6,8]=>[6,5,3,7,2,1,4,8]=>[8,4,1,2,7,3,5,6]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[5,4,3,7,1,2,6,8]=>[6,5,3,7,2,1,4,8]=>[8,4,1,2,7,3,5,6]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[6,3,2,7,1,4,5,8]=>[7,5,3,6,2,4,1,8]=>[8,1,4,2,6,3,5,7]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
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[6,4,3,7,1,2,5,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,5,2,7,1,3,4,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,5,3,7,1,2,4,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,3,2,5,1,4,6,8]=>[7,5,3,6,2,4,1,8]=>[8,1,4,2,6,3,5,7]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[7,4,2,5,1,3,6,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,3,2,6,1,4,5,8]=>[7,5,3,6,2,4,1,8]=>[8,1,4,2,6,3,5,7]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
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[7,5,3,6,1,2,4,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,6,3,5,1,2,4,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,3,2,8,1,5,6,7]=>[5,3,2,8,1,6,7,4]=>[4,7,6,1,8,2,3,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[5,3,2,8,1,4,6,7]=>[6,5,3,8,2,1,7,4]=>[4,7,1,2,8,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[5,4,3,8,1,2,6,7]=>[6,5,3,8,2,1,7,4]=>[4,7,1,2,8,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[6,3,2,8,1,4,5,7]=>[7,5,3,8,2,6,1,4]=>[4,1,6,2,8,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[6,4,2,8,1,3,5,7]=>[7,6,5,8,3,2,1,4]=>[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[6,4,3,8,1,2,5,7]=>[7,6,5,8,3,2,1,4]=>[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[6,5,2,8,1,3,4,7]=>[7,6,5,8,3,2,1,4]=>[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[6,5,3,8,1,2,4,7]=>[7,6,5,8,3,2,1,4]=>[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[6,5,4,8,1,2,3,7]=>[7,6,5,8,3,2,1,4]=>[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[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]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[7,4,3,8,1,2,5,6]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[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]=>[1,7,4,2,6,3,5,8]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[8,4,2,5,1,3,6,7]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[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]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[8,4,3,7,1,2,5,6]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[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]=>[5,2,1,8,4,3,7,6]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]
[4,6,3,5,8,1,2,7]=>[7,6,4,3,8,2,1,5]=>[5,1,2,8,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[5,6,2,4,8,1,3,7]=>[7,6,4,3,8,2,1,5]=>[5,1,2,8,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[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]=>[2,4,1,5,7,3,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[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]=>[2,4,1,5,7,3,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[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]=>[2,4,1,5,7,3,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[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]=>[5,4,1,8,7,2,3,6]=>[[[.,[.,[.,.]]],.],[[[.,.],.],.]]
[6,4,3,5,8,1,2,7]=>[7,6,4,3,8,2,1,5]=>[5,1,2,8,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[6,5,2,4,8,1,3,7]=>[7,6,4,3,8,2,1,5]=>[5,1,2,8,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[4,3,2,7,8,1,5,6]=>[6,3,2,8,7,1,5,4]=>[4,5,1,7,8,2,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]
[5,3,2,7,8,1,4,6]=>[7,6,3,8,5,2,1,4]=>[4,1,2,5,8,3,6,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[5,4,2,7,8,1,3,6]=>[7,6,3,8,5,2,1,4]=>[4,1,2,5,8,3,6,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[5,4,3,7,8,1,2,6]=>[7,6,3,8,5,2,1,4]=>[4,1,2,5,8,3,6,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[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]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[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]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[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]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[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]=>[8,3,1,5,2,7,4,6]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[5,3,7,2,6,1,4,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,4,7,2,6,1,3,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,3,7,2,5,1,4,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,4,7,2,5,1,3,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,4,7,3,5,1,2,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,3,6,2,5,1,4,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[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]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[6,4,8,3,5,1,2,7]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[6,5,8,2,4,1,3,7]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[6,5,8,3,4,1,2,7]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[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]=>[8,5,1,7,2,3,4,6]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[6,4,3,2,7,1,5,8]=>[7,6,4,3,5,2,1,8]=>[8,1,2,5,3,4,6,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[6,5,3,2,7,1,4,8]=>[7,6,4,3,5,2,1,8]=>[8,1,2,5,3,4,6,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[6,5,4,2,7,1,3,8]=>[7,6,4,3,5,2,1,8]=>[8,1,2,5,3,4,6,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[7,5,3,2,6,1,4,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,5,4,2,6,1,3,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,6,3,2,5,1,4,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,4,3,2,8,1,6,7]=>[6,4,3,2,8,1,7,5]=>[5,7,1,8,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[6,5,3,2,8,1,4,7]=>[7,6,4,3,8,2,1,5]=>[5,1,2,8,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[6,5,4,2,8,1,3,7]=>[7,6,4,3,8,2,1,5]=>[5,1,2,8,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[6,5,4,3,8,1,2,7]=>[7,6,4,3,8,2,1,5]=>[5,1,2,8,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[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]=>[4,1,6,2,8,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[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]=>[6,1,8,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[7,6,4,3,2,8,1,5]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,6,5,4,2,8,1,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,5,4,3,2,7,1,6]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,6,7,5,4,3,2,8]=>[.,[[[[[.,.],.],.],.],[.,[.,.]]]]
[8,1,2,3,6,4,5,7]=>[8,2,3,4,7,6,5,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[8,1,2,3,7,4,5,6]=>[8,2,3,4,7,6,5,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[7,1,2,3,6,4,8,5]=>[8,2,3,4,6,5,7,1]=>[1,7,5,6,4,3,2,8]=>[.,[[[[[.,.],.],.],[.,.]],[.,.]]]
[5,1,2,3,8,7,4,6]=>[7,2,3,4,8,6,1,5]=>[5,1,6,8,4,3,2,7]=>[[.,[[[.,.],.],.]],[.,[[.,.],.]]]
[8,1,2,3,6,7,4,5]=>[8,2,3,4,7,6,5,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[4,1,2,8,3,7,5,6]=>[5,2,3,8,1,7,6,4]=>[4,6,7,1,8,3,2,5]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]
[8,1,2,6,3,4,5,7]=>[8,2,3,7,5,6,4,1]=>[1,4,6,5,7,3,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[6,1,2,5,3,8,4,7]=>[7,2,3,5,4,8,1,6]=>[6,1,8,4,5,3,2,7]=>[[.,[[[.,.],.],[.,.]]],[[.,.],.]]
[8,1,2,5,3,7,4,6]=>[8,2,3,7,5,6,4,1]=>[1,4,6,5,7,3,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[8,1,2,6,3,7,4,5]=>[8,2,3,7,5,6,4,1]=>[1,4,6,5,7,3,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[6,1,2,5,3,7,8,4]=>[8,2,3,5,4,6,7,1]=>[1,7,6,4,5,3,2,8]=>[.,[[[[[.,.],.],[.,.]],.],[.,.]]]
[4,1,2,7,6,3,8,5]=>[6,2,3,8,5,1,7,4]=>[4,7,1,5,8,3,2,6]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]
[8,1,2,5,6,3,4,7]=>[8,2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[8,1,2,5,7,3,4,6]=>[8,2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[8,1,2,7,6,3,4,5]=>[8,2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[4,1,2,5,8,7,3,6]=>[7,2,3,4,8,6,1,5]=>[5,1,6,8,4,3,2,7]=>[[.,[[[.,.],.],.]],[.,[[.,.],.]]]
[8,1,2,5,6,7,3,4]=>[8,2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[3,1,8,2,6,4,5,7]=>[4,2,8,1,7,6,5,3]=>[3,5,6,7,1,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[3,1,8,2,7,4,5,6]=>[4,2,8,1,7,6,5,3]=>[3,5,6,7,1,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[3,1,5,2,8,7,4,6]=>[4,2,7,1,8,6,3,5]=>[5,3,6,8,1,7,2,4]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]
[3,1,8,2,6,7,4,5]=>[4,2,8,1,7,6,5,3]=>[3,5,6,7,1,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[8,1,4,2,3,5,6,7]=>[8,2,5,4,3,6,7,1]=>[1,7,6,3,4,5,2,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[7,1,4,2,3,5,8,6]=>[8,2,5,4,3,6,7,1]=>[1,7,6,3,4,5,2,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[6,1,4,2,3,8,5,7]=>[7,2,5,4,3,8,1,6]=>[6,1,8,3,4,5,2,7]=>[[.,[[.,.],[.,[.,.]]]],[[.,.],.]]
[6,1,4,2,3,7,8,5]=>[8,2,5,4,3,6,7,1]=>[1,7,6,3,4,5,2,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[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]=>[1,3,6,5,4,7,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[6,1,5,2,3,8,4,7]=>[7,2,5,4,3,8,1,6]=>[6,1,8,3,4,5,2,7]=>[[.,[[.,.],[.,[.,.]]]],[[.,.],.]]
[8,1,5,2,3,7,4,6]=>[8,2,7,4,5,6,3,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[6,1,8,2,3,7,4,5]=>[8,2,7,4,5,6,3,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[6,1,5,2,3,7,8,4]=>[8,2,5,4,3,6,7,1]=>[1,7,6,3,4,5,2,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[8,1,4,2,6,3,5,7]=>[8,2,6,4,7,3,5,1]=>[1,5,3,7,4,6,2,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[8,1,4,2,7,3,5,6]=>[8,2,6,4,7,3,5,1]=>[1,5,3,7,4,6,2,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[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]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,1,5,2,7,3,4,6]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,1,8,2,6,3,4,5]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,1,5,2,6,3,8,4]=>[8,2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[5,1,4,2,8,7,3,6]=>[7,2,4,3,8,6,1,5]=>[5,1,6,8,3,4,2,7]=>[[.,[[.,.],[.,.]]],[.,[[.,.],.]]]
[8,1,4,2,6,7,3,5]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,1,5,2,6,7,3,4]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[3,1,4,8,2,7,5,6]=>[5,2,3,8,1,7,6,4]=>[4,6,7,1,8,3,2,5]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]
[3,1,8,6,2,4,5,7]=>[5,2,8,7,1,6,4,3]=>[3,4,6,1,7,8,2,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[3,1,6,5,2,8,4,7]=>[5,2,7,4,1,8,3,6]=>[6,3,8,1,4,7,2,5]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]
[3,1,8,5,2,7,4,6]=>[5,2,8,7,1,6,4,3]=>[3,4,6,1,7,8,2,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[3,1,8,6,2,7,4,5]=>[5,2,8,7,1,6,4,3]=>[3,4,6,1,7,8,2,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[3,1,6,5,2,7,8,4]=>[5,2,8,4,1,6,7,3]=>[3,7,6,1,4,8,2,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[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]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[7,1,4,8,2,3,5,6]=>[8,2,6,7,5,3,4,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,1,8,5,2,3,4,6]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,1,8,6,2,3,4,5]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[6,1,8,3,4,5,2,7]=>[[.,[[.,.],[.,[.,.]]]],[[.,.],.]]
[8,1,4,5,2,7,3,6]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[8,1,4,6,2,7,3,5]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,6,5,2,7,3,4]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,1,4,5,2,7,8,3]=>[8,2,5,4,3,6,7,1]=>[1,7,6,3,4,5,2,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[3,1,4,7,6,2,8,5]=>[6,2,3,8,5,1,7,4]=>[4,7,1,5,8,3,2,6]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]
[3,1,8,5,6,2,4,7]=>[6,2,8,7,5,1,4,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[3,1,8,5,7,2,4,6]=>[6,2,8,7,5,1,4,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[3,1,8,7,6,2,4,5]=>[6,2,8,7,5,1,4,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[8,1,4,5,6,2,3,7]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,4,5,7,2,3,6]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,4,7,6,2,3,5]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,7,5,6,2,3,4]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[5,1,6,8,4,3,2,7]=>[[.,[[[.,.],.],.]],[.,[[.,.],.]]]
[3,1,8,5,6,7,2,4]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[8,1,4,5,6,7,2,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,5,1,3,8,7,4,6]=>[3,7,1,4,8,6,2,5]=>[5,2,6,8,4,1,7,3]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]
[2,4,1,8,3,7,5,6]=>[3,5,1,8,2,7,6,4]=>[4,6,7,2,8,1,5,3]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[2,8,1,5,3,4,6,7]=>[3,8,1,6,5,4,7,2]=>[2,7,4,5,6,1,8,3]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[2,7,1,5,3,4,8,6]=>[3,8,1,6,5,4,7,2]=>[2,7,4,5,6,1,8,3]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[2,8,1,6,3,4,5,7]=>[3,8,1,7,5,6,4,2]=>[2,4,6,5,7,1,8,3]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[2,7,1,6,3,4,8,5]=>[3,8,1,6,5,4,7,2]=>[2,7,4,5,6,1,8,3]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[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]=>[2,4,6,5,7,1,8,3]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[2,8,1,6,3,7,4,5]=>[3,8,1,7,5,6,4,2]=>[2,4,6,5,7,1,8,3]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[2,6,1,5,3,7,8,4]=>[3,8,1,5,4,6,7,2]=>[2,7,6,4,5,1,8,3]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]
[2,4,1,8,6,3,5,7]=>[3,6,1,8,7,2,5,4]=>[4,5,2,7,8,1,6,3]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]
[2,4,1,8,7,3,5,6]=>[3,6,1,8,7,2,5,4]=>[4,5,2,7,8,1,6,3]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]
[2,4,1,7,6,3,8,5]=>[3,6,1,8,5,2,7,4]=>[4,7,2,5,8,1,6,3]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[2,8,1,5,6,3,4,7]=>[3,8,1,7,6,5,4,2]=>[2,4,5,6,7,1,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[2,8,1,5,7,3,4,6]=>[3,8,1,7,6,5,4,2]=>[2,4,5,6,7,1,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[2,8,1,7,6,3,4,5]=>[3,8,1,7,6,5,4,2]=>[2,4,5,6,7,1,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[2,7,1,5,6,3,8,4]=>[3,8,1,6,5,4,7,2]=>[2,7,4,5,6,1,8,3]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[2,4,1,5,8,7,3,6]=>[3,7,1,4,8,6,2,5]=>[5,2,6,8,4,1,7,3]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]
[2,4,1,8,6,7,3,5]=>[3,7,1,8,6,5,2,4]=>[4,2,5,6,8,1,7,3]=>[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]
[2,8,1,5,6,7,3,4]=>[3,8,1,7,6,5,4,2]=>[2,4,5,6,7,1,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[6,3,1,2,4,8,5,7]=>[7,4,3,2,5,8,1,6]=>[6,1,8,5,2,3,4,7]=>[[.,[[.,[.,[.,.]]],.]],[[.,.],.]]
[5,3,1,2,8,4,6,7]=>[6,4,3,2,8,1,7,5]=>[5,7,1,8,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[5,3,1,2,7,4,8,6]=>[6,4,3,2,8,1,7,5]=>[5,7,1,8,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[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]=>[1,7,5,6,2,3,4,8]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[5,3,1,2,6,8,4,7]=>[7,4,3,2,5,8,1,6]=>[6,1,8,5,2,3,4,7]=>[[.,[[.,[.,[.,.]]],.]],[[.,.],.]]
[8,3,1,2,6,7,4,5]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[7,4,1,2,3,5,8,6]=>[8,5,3,4,2,6,7,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]
[6,4,1,2,3,8,5,7]=>[7,5,3,4,2,8,1,6]=>[6,1,8,2,4,3,5,7]=>[[.,[.,[[.,.],[.,.]]]],[[.,.],.]]
[6,4,1,2,3,7,8,5]=>[8,5,3,4,2,6,7,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]
[7,6,1,2,3,4,8,5]=>[8,6,3,4,5,2,7,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[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]=>[5,7,1,8,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[5,4,1,2,7,3,8,6]=>[6,4,3,2,8,1,7,5]=>[5,7,1,8,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[8,4,1,2,6,3,5,7]=>[8,6,3,4,7,2,5,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[8,4,1,2,7,3,5,6]=>[8,6,3,4,7,2,5,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[7,4,1,2,6,3,8,5]=>[8,6,3,4,5,2,7,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[5,8,1,2,6,3,4,7]=>[7,8,3,4,6,5,1,2]=>[2,1,5,6,4,3,8,7]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]
[5,8,1,2,7,3,4,6]=>[7,8,3,4,6,5,1,2]=>[2,1,5,6,4,3,8,7]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]
[8,7,1,2,6,3,4,5]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[5,7,1,2,6,3,8,4]=>[8,6,3,4,5,2,7,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[5,4,1,2,6,8,3,7]=>[7,4,3,2,5,8,1,6]=>[6,1,8,5,2,3,4,7]=>[[.,[[.,[.,[.,.]]],.]],[[.,.],.]]
[8,4,1,2,6,7,3,5]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[5,8,1,2,6,7,3,4]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[4,3,1,8,2,5,6,7]=>[5,3,2,8,1,6,7,4]=>[4,7,6,1,8,2,3,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[4,3,1,7,2,5,8,6]=>[5,3,2,8,1,6,7,4]=>[4,7,6,1,8,2,3,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[4,3,1,6,2,8,5,7]=>[5,3,2,7,1,8,4,6]=>[6,4,8,1,7,2,3,5]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]
[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]=>[4,7,6,1,8,2,3,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[8,3,1,5,2,4,6,7]=>[8,5,3,6,2,4,7,1]=>[1,7,4,2,6,3,5,8]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[7,3,1,5,2,4,8,6]=>[8,5,3,6,2,4,7,1]=>[1,7,4,2,6,3,5,8]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[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]=>[1,7,4,2,6,3,5,8]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[6,3,1,5,2,8,4,7]=>[7,5,3,4,2,8,1,6]=>[6,1,8,2,4,3,5,7]=>[[.,[.,[[.,.],[.,.]]]],[[.,.],.]]
[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]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]
[8,4,1,5,2,3,6,7]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[7,4,1,5,2,3,8,6]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[8,4,1,6,2,3,5,7]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[7,4,1,8,2,3,5,6]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[7,4,1,6,2,3,8,5]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[6,8,1,5,2,3,4,7]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[8,7,1,5,2,3,4,6]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,7,1,6,2,3,4,5]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,7,1,5,2,3,8,4]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[6,4,1,5,2,8,3,7]=>[7,5,3,4,2,8,1,6]=>[6,1,8,2,4,3,5,7]=>[[.,[.,[[.,.],[.,.]]]],[[.,.],.]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,8,1,5,2,7,3,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,4,1,5,2,7,8,3]=>[8,5,3,4,2,6,7,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]
[4,3,1,8,6,2,5,7]=>[6,3,2,8,7,1,5,4]=>[4,5,1,7,8,2,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]
[4,3,1,8,7,2,5,6]=>[6,3,2,8,7,1,5,4]=>[4,5,1,7,8,2,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]
[4,3,1,7,6,2,8,5]=>[6,3,2,8,5,1,7,4]=>[4,7,1,5,8,2,3,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[8,3,1,5,6,2,4,7]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[8,3,1,5,7,2,4,6]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[8,3,1,7,6,2,4,5]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[7,3,1,5,6,2,8,4]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[8,4,1,5,6,2,3,7]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,4,1,5,7,2,3,6]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,4,1,7,6,2,3,5]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,8,1,5,6,2,3,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,4,1,5,6,2,8,3]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[4,3,1,5,8,7,2,6]=>[7,3,2,4,8,6,1,5]=>[5,1,6,8,4,2,3,7]=>[[.,[[.,[.,.]],.]],[.,[[.,.],.]]]
[4,3,1,8,6,7,2,5]=>[7,3,2,8,6,5,1,4]=>[4,1,5,6,8,2,3,7]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]
[8,3,1,5,6,7,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,4,1,5,6,7,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,3,1,5,6,7,8,2]=>[8,3,2,4,5,6,7,1]=>[1,7,6,5,4,2,3,8]=>[.,[[[[[.,[.,.]],.],.],.],[.,.]]]
[2,3,8,1,6,4,5,7]=>[4,2,8,1,7,6,5,3]=>[3,5,6,7,1,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[2,3,8,1,7,4,5,6]=>[4,2,8,1,7,6,5,3]=>[3,5,6,7,1,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[2,3,5,1,8,7,4,6]=>[4,2,7,1,8,6,3,5]=>[5,3,6,8,1,7,2,4]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]
[2,3,8,1,6,7,4,5]=>[4,2,8,1,7,6,5,3]=>[3,5,6,7,1,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[2,8,4,1,3,5,6,7]=>[4,8,5,1,3,6,7,2]=>[2,7,6,3,1,5,8,4]=>[[.,.],[[[.,[[.,.],.]],.],[.,.]]]
[2,7,4,1,3,5,8,6]=>[4,8,5,1,3,6,7,2]=>[2,7,6,3,1,5,8,4]=>[[.,.],[[[.,[[.,.],.]],.],[.,.]]]
[2,6,4,1,3,8,5,7]=>[4,7,5,1,3,8,2,6]=>[6,2,8,3,1,5,7,4]=>[[[.,.],[.,[[.,.],.]]],[[.,.],.]]
[2,8,4,1,3,7,5,6]=>[4,8,5,1,3,7,6,2]=>[2,6,7,3,1,5,8,4]=>[[.,.],[[.,[[.,.],.]],[.,[.,.]]]]
[2,6,4,1,3,7,8,5]=>[4,8,5,1,3,6,7,2]=>[2,7,6,3,1,5,8,4]=>[[.,.],[[[.,[[.,.],.]],.],[.,.]]]
[2,8,5,1,3,4,6,7]=>[4,8,6,1,5,3,7,2]=>[2,7,3,5,1,6,8,4]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[2,7,5,1,3,4,8,6]=>[4,8,6,1,5,3,7,2]=>[2,7,3,5,1,6,8,4]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[2,8,7,1,3,4,5,6]=>[4,8,7,1,5,6,3,2]=>[2,3,6,5,1,7,8,4]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[2,6,5,1,3,8,4,7]=>[4,7,5,1,3,8,2,6]=>[6,2,8,3,1,5,7,4]=>[[[.,.],[.,[[.,.],.]]],[[.,.],.]]
[2,8,5,1,3,7,4,6]=>[4,8,7,1,5,6,3,2]=>[2,3,6,5,1,7,8,4]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[2,6,8,1,3,7,4,5]=>[4,8,7,1,5,6,3,2]=>[2,3,6,5,1,7,8,4]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[2,6,5,1,3,7,8,4]=>[4,8,5,1,3,6,7,2]=>[2,7,6,3,1,5,8,4]=>[[.,.],[[[.,[[.,.],.]],.],[.,.]]]
[2,5,4,1,8,3,6,7]=>[4,6,3,1,8,2,7,5]=>[5,7,2,8,1,3,6,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[2,5,4,1,7,3,8,6]=>[4,6,3,1,8,2,7,5]=>[5,7,2,8,1,3,6,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[2,8,4,1,6,3,5,7]=>[4,8,6,1,7,3,5,2]=>[2,5,3,7,1,6,8,4]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[2,8,4,1,7,3,5,6]=>[4,8,6,1,7,3,5,2]=>[2,5,3,7,1,6,8,4]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[2,7,4,1,6,3,8,5]=>[4,8,6,1,5,3,7,2]=>[2,7,3,5,1,6,8,4]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[2,8,5,1,6,3,4,7]=>[4,8,7,1,6,5,3,2]=>[2,3,5,6,1,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[2,8,5,1,7,3,4,6]=>[4,8,7,1,6,5,3,2]=>[2,3,5,6,1,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[2,7,8,1,6,3,4,5]=>[4,8,7,1,6,5,3,2]=>[2,3,5,6,1,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[2,7,5,1,6,3,8,4]=>[4,8,6,1,5,3,7,2]=>[2,7,3,5,1,6,8,4]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[2,5,4,1,6,8,3,7]=>[4,7,3,1,5,8,2,6]=>[6,2,8,5,1,3,7,4]=>[[[.,.],[[.,[.,.]],.]],[[.,.],.]]
[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]=>[2,3,5,6,1,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[2,8,5,1,6,7,3,4]=>[4,8,7,1,6,5,3,2]=>[2,3,5,6,1,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[2,5,4,1,6,7,8,3]=>[4,8,3,1,5,6,7,2]=>[2,7,6,5,1,3,8,4]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]
[7,3,4,1,2,5,8,6]=>[8,5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[6,3,4,1,2,8,5,7]=>[7,5,4,3,2,8,1,6]=>[6,1,8,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[8,3,4,1,2,7,5,6]=>[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[6,3,4,1,2,7,8,5]=>[8,5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[7,3,5,1,2,4,8,6]=>[8,5,6,4,2,3,7,1]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[6,3,7,1,2,4,8,5]=>[8,5,6,4,2,3,7,1]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[6,3,5,1,2,8,4,7]=>[7,5,4,3,2,8,1,6]=>[6,1,8,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[8,3,5,1,2,7,4,6]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[6,3,8,1,2,7,4,5]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[6,3,5,1,2,7,8,4]=>[8,5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[7,5,4,1,2,3,8,6]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,5,4,1,2,8,3,7]=>[7,5,4,3,2,8,1,6]=>[6,1,8,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[8,5,4,1,2,7,3,6]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[5,3,4,1,8,2,6,7]=>[6,4,3,2,8,1,7,5]=>[5,7,1,8,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[5,3,4,1,7,2,8,6]=>[6,4,3,2,8,1,7,5]=>[5,7,1,8,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[8,3,4,1,6,2,5,7]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[8,3,4,1,7,2,5,6]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[7,3,4,1,6,2,8,5]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,3,4,1,6,8,2,7]=>[7,4,3,2,5,8,1,6]=>[6,1,8,5,2,3,4,7]=>[[.,[[.,[.,[.,.]]],.]],[[.,.],.]]
[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]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,3,4,8,1,7,5,6]=>[5,2,3,8,1,7,6,4]=>[4,6,7,1,8,3,2,5]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]
[2,3,8,6,1,4,5,7]=>[5,2,8,7,1,6,4,3]=>[3,4,6,1,7,8,2,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[2,3,6,5,1,8,4,7]=>[5,2,7,4,1,8,3,6]=>[6,3,8,1,4,7,2,5]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]
[2,3,8,5,1,7,4,6]=>[5,2,8,7,1,6,4,3]=>[3,4,6,1,7,8,2,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[2,3,8,6,1,7,4,5]=>[5,2,8,7,1,6,4,3]=>[3,4,6,1,7,8,2,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[2,3,6,5,1,7,8,4]=>[5,2,8,4,1,6,7,3]=>[3,7,6,1,4,8,2,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[2,8,4,5,1,3,6,7]=>[5,8,6,4,1,3,7,2]=>[2,7,3,1,4,6,8,5]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]
[2,7,4,5,1,3,8,6]=>[5,8,6,4,1,3,7,2]=>[2,7,3,1,4,6,8,5]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]
[2,8,4,6,1,3,5,7]=>[5,8,6,7,1,3,4,2]=>[2,4,3,1,7,6,8,5]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]
[2,7,4,8,1,3,5,6]=>[5,8,6,7,1,3,4,2]=>[2,4,3,1,7,6,8,5]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]
[2,7,4,6,1,3,8,5]=>[5,8,6,4,1,3,7,2]=>[2,7,3,1,4,6,8,5]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]
[2,8,6,5,1,3,4,7]=>[5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[2,7,8,5,1,3,4,6]=>[5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[2,7,8,6,1,3,4,5]=>[5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[2,7,6,5,1,3,8,4]=>[5,8,6,4,1,3,7,2]=>[2,7,3,1,4,6,8,5]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]
[2,6,4,5,1,8,3,7]=>[5,7,4,3,1,8,2,6]=>[6,2,8,1,3,4,7,5]=>[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]
[2,8,4,5,1,7,3,6]=>[5,8,7,4,1,6,3,2]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[2,8,4,6,1,7,3,5]=>[5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[2,8,6,5,1,7,3,4]=>[5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[2,6,4,5,1,7,8,3]=>[5,8,4,3,1,6,7,2]=>[2,7,6,1,3,4,8,5]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[7,3,4,5,1,2,8,6]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,3,4,6,1,2,8,5]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,6,4,5,1,2,8,3]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,3,4,5,1,8,2,7]=>[7,5,4,3,2,8,1,6]=>[6,1,8,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[8,3,4,5,1,7,2,6]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[2,3,4,7,6,1,8,5]=>[6,2,3,8,5,1,7,4]=>[4,7,1,5,8,3,2,6]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]
[2,3,8,5,6,1,4,7]=>[6,2,8,7,5,1,4,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[2,3,8,5,7,1,4,6]=>[6,2,8,7,5,1,4,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[2,3,8,7,6,1,4,5]=>[6,2,8,7,5,1,4,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[2,8,4,7,6,1,3,5]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[2,8,7,5,6,1,3,4]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[2,7,4,5,6,1,8,3]=>[6,8,5,4,3,1,7,2]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[2,3,4,5,8,7,1,6]=>[7,2,3,4,8,6,1,5]=>[5,1,6,8,4,3,2,7]=>[[.,[[[.,.],.],.]],[.,[[.,.],.]]]
[2,3,8,5,6,7,1,4]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[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]=>[.,[[[[[[[.,.],.],.],.],.],.],[.,.]]]
[9,1,2,3,4,5,8,6,7]=>[9,2,3,4,5,6,8,7,1]=>[1,7,8,6,5,4,3,2,9]=>[.,[[[[[[.,.],.],.],.],.],[.,[.,.]]]]
[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]=>[.,[[[[[[[.,.],.],.],.],.],.],[.,.]]]
[8,1,9,5,6,2,3,4,7]=>[9,2,8,7,6,5,4,3,1]=>[1,3,4,5,6,7,8,2,9]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,1,9,7,6,2,3,4,5]=>[9,2,8,7,6,5,4,3,1]=>[1,3,4,5,6,7,8,2,9]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]
[9,1,4,8,6,7,2,3,5]=>[9,2,8,7,6,5,4,3,1]=>[1,3,4,5,6,7,8,2,9]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]
[9,1,8,5,6,7,2,3,4]=>[9,2,8,7,6,5,4,3,1]=>[1,3,4,5,6,7,8,2,9]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]
[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]=>[2,4,5,6,7,8,1,9,3]=>[[.,.],[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,9,1,8,6,7,3,4,5]=>[3,9,1,8,7,6,5,4,2]=>[2,4,5,6,7,8,1,9,3]=>[[.,.],[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,9,1,5,6,7,8,3,4]=>[3,9,1,8,7,6,5,4,2]=>[2,4,5,6,7,8,1,9,3]=>[[.,.],[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,5,4,1,2,8,3,9,7]=>[7,5,4,3,2,9,1,8,6]=>[6,8,1,9,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],[.,.]]]
[2,9,8,6,1,3,4,5,7]=>[5,9,8,7,1,6,4,3,2]=>[2,3,4,6,1,7,8,9,5]=>[[.,.],[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,7,8,9,1,3,4,5,6]=>[5,9,8,7,1,6,4,3,2]=>[2,3,4,6,1,7,8,9,5]=>[[.,.],[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,8,9,6,1,7,3,4,5]=>[5,9,8,7,1,6,4,3,2]=>[2,3,4,6,1,7,8,9,5]=>[[.,.],[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,9,6,5,1,7,8,3,4]=>[5,9,8,7,1,6,4,3,2]=>[2,3,4,6,1,7,8,9,5]=>[[.,.],[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[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]=>[1,8,2,3,4,5,6,7,9]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]]
[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]=>[1,8,2,3,4,5,6,7,9]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]]
[8,3,6,5,1,7,2,9,4]=>[9,7,6,5,4,3,2,8,1]=>[1,8,2,3,4,5,6,7,9]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]]
[8,6,4,5,1,7,2,9,3]=>[9,7,6,5,4,3,2,8,1]=>[1,8,2,3,4,5,6,7,9]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]]
[6,3,4,5,1,7,9,2,8]=>[8,5,4,3,2,6,9,1,7]=>[7,1,9,6,2,3,4,5,8]=>[[.,[[.,[.,[.,[.,.]]]],.]],[[.,.],.]]
[8,3,4,7,6,1,2,9,5]=>[9,7,6,5,4,3,2,8,1]=>[1,8,2,3,4,5,6,7,9]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]]
[8,3,7,5,6,1,2,9,4]=>[9,7,6,5,4,3,2,8,1]=>[1,8,2,3,4,5,6,7,9]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]]
[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]=>[1,8,2,3,4,5,6,7,9]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]]
[7,3,4,5,6,1,9,2,8]=>[8,6,5,4,3,2,9,1,7]=>[7,1,9,2,3,4,5,6,8]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[[.,.],.]]
[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]=>[2,3,1,4,5,6,8,9,7]=>[[.,.],[.,[.,[.,[.,[[.,.],[.,.]]]]]]]
[2,9,8,5,6,7,1,3,4]=>[7,9,8,6,5,4,1,3,2]=>[2,3,1,4,5,6,8,9,7]=>[[.,.],[.,[.,[.,[.,[[.,.],[.,.]]]]]]]
[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]=>[7,8,2,1,4,3,6,5]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]
[3,5,2,6,4,1,8,7]=>[6,5,3,4,2,1,8,7]=>[7,8,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]
[3,5,2,7,4,8,1,6]=>[7,5,3,8,2,6,1,4]=>[4,1,6,2,8,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[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]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[4,5,7,2,3,8,1,6]=>[7,5,8,4,2,6,1,3]=>[3,1,6,2,4,8,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[4,5,6,2,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[4,5,6,2,1,3,8,7]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[3,5,1,6,4,2,8,7]=>[6,5,3,4,2,1,8,7]=>[7,8,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]
[4,5,6,1,3,2,8,7]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[4,5,6,3,1,2,8,7]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[4,5,7,3,2,8,1,6]=>[7,5,8,4,2,6,1,3]=>[3,1,6,2,4,8,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[4,5,7,3,2,8,6,1]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[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]=>[3,1,6,2,4,8,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[4,5,7,1,3,8,2,6]=>[7,5,8,4,2,6,1,3]=>[3,1,6,2,4,8,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[3,5,1,7,4,8,2,6]=>[7,5,3,8,2,6,1,4]=>[4,1,6,2,8,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[2,1,5,7,4,8,3,6]=>[2,1,7,8,5,6,3,4]=>[4,3,6,5,8,7,1,2]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]
[2,1,5,7,4,8,6,3]=>[2,1,8,7,5,6,4,3]=>[3,4,6,5,7,8,1,2]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[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]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[4,5,7,3,1,8,6,2]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,1,6,7,8,4,5,3]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,6,7,8,4,3,5]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[3,6,1,7,8,4,2,5]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[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]=>[3,1,6,2,4,8,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,6,2,7,8,4,1,5]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[3,6,2,7,8,1,4,5]=>[6,8,3,7,5,1,4,2]=>[2,4,1,5,7,3,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[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]=>[2,4,6,1,7,3,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[3,6,2,7,8,1,5,4]=>[6,8,3,7,5,1,4,2]=>[2,4,1,5,7,3,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[3,6,2,7,8,5,1,4]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[3,6,2,7,8,5,4,1]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[4,5,7,1,2,8,6,3]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[3,5,1,7,2,8,6,4]=>[5,8,3,7,1,6,4,2]=>[2,4,6,1,7,3,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[2,1,5,7,3,8,6,4]=>[2,1,8,7,5,6,4,3]=>[3,4,6,5,7,8,1,2]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[2,1,6,7,8,3,5,4]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[3,6,1,7,8,2,5,4]=>[6,8,3,7,5,1,4,2]=>[2,4,1,5,7,3,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[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]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[2,1,6,7,8,5,3,4]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[3,6,1,7,8,5,4,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[9,10,7,8,5,6,1,2,3,4]=>[[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]],[.,.]]
[2,1,5,6,4,3,8,7,10,9]=>[2,1,6,5,4,3,8,7,10,9]=>[9,10,7,8,3,4,5,6,1,2]=>[[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]],[.,.]]
[4,5,6,3,2,1,8,7,10,9]=>[6,5,4,3,2,1,8,7,10,9]=>[9,10,7,8,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]],[.,.]]
[2,1,4,3,7,8,6,5,10,9]=>[2,1,4,3,8,7,6,5,10,9]=>[9,10,5,6,7,8,3,4,1,2]=>[[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]],[.,.]]
[3,4,2,1,7,8,6,5,10,9]=>[4,3,2,1,8,7,6,5,10,9]=>[9,10,5,6,7,8,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]],[.,.]]
[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]=>[9,10,1,2,3,4,5,6,7,8]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]]
[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]=>[7,8,9,10,5,6,3,4,1,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,[.,[.,.]]]]
[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]=>[7,8,9,10,3,4,5,6,1,2]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[4,5,6,3,2,1,9,10,8,7]=>[6,5,4,3,2,1,10,9,8,7]=>[7,8,9,10,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]]
[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]=>[5,6,7,8,9,10,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[3,4,2,1,8,9,10,7,6,5]=>[4,3,2,1,10,9,8,7,6,5]=>[5,6,7,8,9,10,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,7,8,9,10,6,5,4,3]=>[2,1,10,9,8,7,6,5,4,3]=>[3,4,5,6,7,8,9,10,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,6,7,4,5,1,8,3]=>[6,8,5,4,3,1,7,2]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[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]=>[2,7,1,4,5,3,8,6]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,4,3,8,7,6,1,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,3,5,6,8,7,1,2]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[3,2,5,6,1,8,7,4]=>[5,2,8,4,1,7,6,3]=>[3,6,7,1,4,8,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[4,2,5,6,8,1,7,3]=>[8,6,3,4,7,2,5,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[5,2,4,8,6,1,7,3]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,1,8,4,5,2,3,7]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[5,1,4,8,6,2,3,7]=>[7,2,6,8,5,3,1,4]=>[4,1,3,5,8,6,2,7]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]
[4,1,3,2,8,6,5,7]=>[4,2,3,1,8,7,6,5]=>[5,6,7,8,1,3,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]
[5,1,3,8,2,6,4,7]=>[7,2,5,8,3,6,1,4]=>[4,1,6,3,8,5,2,7]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[6,1,8,3,2,5,4,7]=>[7,2,8,5,4,6,1,3]=>[3,1,6,4,5,8,2,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,2,8,3,1,5,7,4]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[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]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[7,8,3,2,1,6,5,4]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[4,5,2,7,8,1,6,3]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[2,5,3,7,1,6,8,4]=>[5,8,3,6,1,4,7,2]=>[2,7,4,1,6,3,8,5]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]
[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]=>[2,7,3,1,4,6,8,5]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]
[3,6,7,2,1,8,5,4]=>[5,8,7,4,1,6,3,2]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[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]=>[4,1,2,5,8,3,6,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,3,1,8,2,7,4,6]=>[7,5,3,8,2,6,1,4]=>[4,1,6,2,8,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[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]=>[5,7,6,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[5,2,1,8,3,4,7,6]=>[6,3,2,8,5,1,7,4]=>[4,7,1,5,8,2,3,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[6,2,8,1,3,4,7,5]=>[8,4,7,2,5,6,3,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[7,8,2,1,3,4,6,5]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[4,3,1,2,6,5,8,7]=>[4,3,2,1,6,5,8,7]=>[7,8,5,6,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]
[5,3,1,6,2,4,8,7]=>[6,5,3,4,2,1,8,7]=>[7,8,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]
[6,3,1,5,2,4,8,7]=>[6,5,3,4,2,1,8,7]=>[7,8,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,4,5,1,2,8,3,6]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,4,5,1,2,3,8,7]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[5,4,6,1,2,3,8,7]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[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]=>[7,8,2,1,4,3,6,5]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]
[4,6,5,1,2,3,8,7]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[5,6,4,1,2,3,8,7]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[6,5,4,1,2,3,8,7]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[7,5,4,1,2,8,3,6]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[4,7,5,1,2,8,3,6]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[3,7,1,5,2,8,4,6]=>[5,8,3,7,1,6,4,2]=>[2,4,6,1,7,3,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[2,1,7,5,3,8,4,6]=>[2,1,8,7,5,6,4,3]=>[3,4,6,5,7,8,1,2]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[2,1,8,5,3,7,4,6]=>[2,1,8,7,5,6,4,3]=>[3,4,6,5,7,8,1,2]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[3,8,1,5,2,7,4,6]=>[5,8,3,7,1,6,4,2]=>[2,4,6,1,7,3,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[4,8,5,1,2,7,3,6]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[5,8,4,1,2,7,3,6]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[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]=>[2,4,1,5,7,3,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[2,1,8,6,7,3,4,5]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,7,6,8,3,4,5]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[3,7,1,6,8,2,4,5]=>[6,8,3,7,5,1,4,2]=>[2,4,1,5,7,3,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[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]=>[3,1,6,2,4,8,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[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]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[7,3,1,6,8,2,4,5]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[6,3,1,7,8,2,4,5]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[5,3,1,7,2,8,4,6]=>[7,5,3,8,2,6,1,4]=>[4,1,6,2,8,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[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]=>[5,6,7,8,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]
[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]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[7,3,1,8,6,2,4,5]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[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]=>[3,1,6,2,4,8,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[4,5,8,1,2,7,3,6]=>[7,5,8,4,2,6,1,3]=>[3,1,6,2,4,8,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[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]=>[4,3,6,5,8,7,1,2]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]
[2,1,6,8,7,3,4,5]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[3,6,1,8,7,2,4,5]=>[6,8,3,7,5,1,4,2]=>[2,4,1,5,7,3,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[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]=>[2,4,1,5,7,3,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[2,1,7,8,6,3,4,5]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,8,7,6,3,4,5]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[3,8,1,7,6,2,4,5]=>[6,8,3,7,5,1,4,2]=>[2,4,1,5,7,3,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,4,7,2,5,1,8,3]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,4,2,7,6,1,3,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[5,4,2,7,6,1,8,3]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,4,3,6,8,7,1,2]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[5,4,2,6,7,1,8,3]=>[8,6,3,4,5,2,7,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[5,4,2,6,7,1,3,8]=>[7,6,3,4,5,2,1,8]=>[8,1,2,5,4,3,6,7]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[5,3,2,6,1,7,4,8]=>[7,5,3,4,2,6,1,8]=>[8,1,6,2,4,3,5,7]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[5,3,2,6,1,7,8,4]=>[8,5,3,4,2,6,7,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]
[5,4,2,6,8,1,7,3]=>[8,6,3,4,7,2,5,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[5,4,2,8,6,1,7,3]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[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]=>[4,1,2,5,8,3,6,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[5,3,2,6,1,8,4,7]=>[7,5,3,4,2,8,1,6]=>[6,1,8,2,4,3,5,7]=>[[.,[.,[[.,.],[.,.]]]],[[.,.],.]]
[4,3,2,1,6,8,5,7]=>[4,3,2,1,7,8,5,6]=>[6,5,8,7,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],.],[[.,.],.]]
[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]=>[4,1,6,2,8,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[6,3,8,2,1,5,4,7]=>[7,5,8,4,2,6,1,3]=>[3,1,6,2,4,8,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[7,8,3,2,1,5,4,6]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,8,3,2,1,5,6,4]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,3,8,2,1,5,7,4]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[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]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[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]=>[1,7,4,2,6,3,5,8]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[5,3,2,7,1,6,4,8]=>[7,5,3,6,2,4,1,8]=>[8,1,4,2,6,3,5,7]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[6,3,7,2,1,5,4,8]=>[7,5,6,4,2,3,1,8]=>[8,1,3,2,4,6,5,7]=>[[.,[[.,.],[.,[[.,.],[.,.]]]]],.]
[6,3,7,2,1,5,8,4]=>[8,5,6,4,2,3,7,1]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[6,3,7,2,1,8,5,4]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[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]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[6,3,7,2,1,4,8,5]=>[8,5,6,4,2,3,7,1]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[6,3,7,2,1,4,5,8]=>[7,5,6,4,2,3,1,8]=>[8,1,3,2,4,6,5,7]=>[[.,[[.,.],[.,[[.,.],[.,.]]]]],.]
[5,3,2,7,1,4,8,6]=>[6,5,3,8,2,1,7,4]=>[4,7,1,2,8,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[5,4,2,8,7,1,3,6]=>[7,6,3,8,5,2,1,4]=>[4,1,2,5,8,3,6,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,3,8,2,1,7,4,5]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[5,3,2,8,1,7,4,6]=>[7,5,3,8,2,6,1,4]=>[4,1,6,2,8,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[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]=>[5,7,6,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[4,3,2,1,7,5,6,8]=>[4,3,2,1,7,6,5,8]=>[8,5,6,7,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[4,3,2,1,8,5,7,6]=>[4,3,2,1,8,6,7,5]=>[5,7,6,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[5,3,2,8,1,4,7,6]=>[6,5,3,8,2,1,7,4]=>[4,7,1,2,8,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[6,3,8,2,1,4,7,5]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[7,8,3,2,1,4,6,5]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,3,8,2,1,4,5,7]=>[7,5,8,4,2,6,1,3]=>[3,1,6,2,4,8,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[4,3,2,1,8,5,6,7]=>[4,3,2,1,8,6,7,5]=>[5,7,6,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[4,3,2,1,5,8,6,7]=>[4,3,2,1,5,8,7,6]=>[6,7,8,5,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,1,8,4,7,2,5,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,6,8,4,7,2,5,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,6,8,3,2,7,5,4]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[6,1,8,3,2,7,5,4]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,8,2,1,3,6,5,4]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[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]=>[1,3,6,5,4,7,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[1,6,8,2,3,7,5,4]=>[1,8,7,4,5,6,3,2]=>[2,3,6,5,4,7,8,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[1,5,2,8,3,7,6,4]=>[1,8,3,7,5,6,4,2]=>[2,4,6,5,7,3,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[5,1,2,8,3,7,6,4]=>[8,2,3,7,5,6,4,1]=>[1,4,6,5,7,3,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[5,2,1,8,3,7,6,4]=>[8,3,2,7,5,6,4,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[6,2,8,1,3,7,5,4]=>[8,4,7,2,5,6,3,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[6,2,8,3,1,7,5,4]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[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]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[2,6,8,3,1,7,5,4]=>[5,8,7,4,1,6,3,2]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[2,6,8,1,3,7,5,4]=>[4,8,7,1,5,6,3,2]=>[2,3,6,5,1,7,8,4]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[2,5,1,8,3,7,6,4]=>[3,8,1,7,5,6,4,2]=>[2,4,6,5,7,1,8,3]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,2,5,8,3,7,6,4]=>[1,2,8,7,5,6,4,3]=>[3,4,6,5,7,8,2,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[2,4,1,3,8,7,6,5]=>[3,4,1,2,8,7,6,5]=>[5,6,7,8,2,1,4,3]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]
[2,5,3,8,1,7,6,4]=>[5,8,3,7,1,6,4,2]=>[2,4,6,1,7,3,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[2,5,4,8,7,1,6,3]=>[6,8,3,7,5,1,4,2]=>[2,4,1,5,7,3,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[3,5,4,8,7,6,1,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,3,4,8,7,6,1,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,2,4,8,7,1,6,3]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[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]=>[5,6,7,8,1,3,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]
[1,4,2,3,8,7,6,5]=>[1,4,3,2,8,7,6,5]=>[5,6,7,8,2,3,4,1]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]
[4,1,3,2,8,7,6,5]=>[4,2,3,1,8,7,6,5]=>[5,6,7,8,1,3,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]
[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]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[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]=>[1,4,6,3,7,5,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[1,5,3,8,2,7,6,4]=>[1,8,5,7,3,6,4,2]=>[2,4,6,3,7,5,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,5,4,8,7,2,6,3]=>[1,8,6,7,5,3,4,2]=>[2,4,3,5,7,6,8,1]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[5,1,4,8,7,2,6,3]=>[8,2,6,7,5,3,4,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[5,4,1,8,7,2,6,3]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[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]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[4,1,5,8,7,2,6,3]=>[8,2,6,7,5,3,4,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[1,4,5,8,7,2,6,3]=>[1,8,6,7,5,3,4,2]=>[2,4,3,5,7,6,8,1]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[1,3,5,8,2,7,6,4]=>[1,5,8,7,2,6,4,3]=>[3,4,6,2,7,8,5,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[3,1,5,8,2,7,6,4]=>[5,2,8,7,1,6,4,3]=>[3,4,6,1,7,8,2,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[3,6,8,1,2,7,5,4]=>[5,8,7,4,1,6,3,2]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[3,6,8,2,1,7,5,4]=>[5,8,7,4,1,6,3,2]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,5,2,8,7,1,6,3]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[3,5,2,8,1,7,6,4]=>[5,8,3,7,1,6,4,2]=>[2,4,6,1,7,3,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[3,1,4,2,8,7,6,5]=>[4,2,3,1,8,7,6,5]=>[5,6,7,8,1,3,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]
[3,1,2,4,8,7,6,5]=>[3,2,1,4,8,7,6,5]=>[5,6,7,8,4,1,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]
[3,2,5,8,1,7,6,4]=>[5,2,8,7,1,6,4,3]=>[3,4,6,1,7,8,2,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[4,2,5,8,7,1,6,3]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[4,3,5,8,7,6,1,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,4,5,8,7,6,1,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,4,5,8,7,1,6,3]=>[6,8,3,7,5,1,4,2]=>[2,4,1,5,7,3,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[2,3,5,8,1,7,6,4]=>[5,2,8,7,1,6,4,3]=>[3,4,6,1,7,8,2,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[4,1,3,2,6,5,8,7]=>[4,2,3,1,6,5,8,7]=>[7,8,5,6,1,3,2,4]=>[[[.,[[.,.],[.,.]]],[.,.]],[.,.]]
[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]=>[7,8,1,3,4,5,2,6]=>[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]
[2,1,6,3,5,4,8,7]=>[2,1,6,4,5,3,8,7]=>[7,8,3,5,4,6,1,2]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]
[4,1,6,2,5,3,8,7]=>[6,2,5,4,3,1,8,7]=>[7,8,1,3,4,5,2,6]=>[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]
[6,2,5,1,4,3,8,7]=>[6,4,5,2,3,1,8,7]=>[7,8,1,3,2,5,4,6]=>[[.,[[.,.],[[.,.],[.,.]]]],[.,.]]
[5,2,6,1,4,3,8,7]=>[6,4,5,2,3,1,8,7]=>[7,8,1,3,2,5,4,6]=>[[.,[[.,.],[[.,.],[.,.]]]],[.,.]]
[5,2,7,1,4,3,8,6]=>[6,4,8,2,5,1,7,3]=>[3,7,1,5,2,8,4,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[5,2,8,1,4,3,7,6]=>[6,4,8,2,5,1,7,3]=>[3,7,1,5,2,8,4,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[6,2,8,1,4,3,7,5]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,2,7,1,4,3,8,5]=>[8,4,6,2,5,3,7,1]=>[1,7,3,5,2,6,4,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[7,2,6,1,4,3,8,5]=>[8,4,6,2,5,3,7,1]=>[1,7,3,5,2,6,4,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[7,2,5,1,4,3,8,6]=>[8,4,6,2,5,3,7,1]=>[1,7,3,5,2,6,4,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[4,1,7,2,5,3,8,6]=>[6,2,8,4,5,1,7,3]=>[3,7,1,5,4,8,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[2,1,7,3,5,4,8,6]=>[2,1,8,4,6,5,7,3]=>[3,7,5,6,4,8,1,2]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[2,1,8,3,5,4,7,6]=>[2,1,8,4,6,5,7,3]=>[3,7,5,6,4,8,1,2]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[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]=>[1,7,3,5,2,6,4,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[8,2,6,1,4,3,7,5]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,1,4,3,8,2,6,5]=>[8,2,6,4,7,3,5,1]=>[1,5,3,7,4,6,2,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[8,1,4,3,7,2,6,5]=>[8,2,6,4,7,3,5,1]=>[1,5,3,7,4,6,2,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[8,1,5,3,7,2,6,4]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,1,5,3,8,2,6,4]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,2,6,1,5,3,7,4]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[5,1,8,2,6,3,7,4]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[4,1,8,2,6,3,7,5]=>[6,2,8,4,7,1,5,3]=>[3,5,1,7,4,8,2,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[3,1,8,2,6,4,7,5]=>[4,2,8,1,7,6,5,3]=>[3,5,6,7,1,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[2,1,7,3,6,4,8,5]=>[2,1,8,4,6,5,7,3]=>[3,7,5,6,4,8,1,2]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[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]=>[1,7,3,5,2,6,4,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[6,2,7,1,5,3,8,4]=>[8,4,6,2,5,3,7,1]=>[1,7,3,5,2,6,4,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[6,2,8,1,5,3,7,4]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,1,5,2,6,3,7,4]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[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]=>[1,5,3,7,4,6,2,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[8,1,3,2,6,4,7,5]=>[8,2,4,3,7,6,5,1]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[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]=>[5,7,6,8,3,4,1,2]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[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]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[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]=>[1,5,3,7,4,6,2,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[3,1,5,2,8,4,7,6]=>[4,2,6,1,8,3,7,5]=>[5,7,3,8,1,6,2,4]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[2,1,5,3,8,4,7,6]=>[2,1,6,4,8,3,7,5]=>[5,7,3,8,4,6,1,2]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[3,1,6,2,8,4,7,5]=>[4,2,8,1,7,6,5,3]=>[3,5,6,7,1,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[4,1,6,2,8,3,7,5]=>[6,2,8,4,7,1,5,3]=>[3,5,1,7,4,8,2,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[5,1,6,2,8,3,7,4]=>[8,2,6,4,7,3,5,1]=>[1,5,3,7,4,6,2,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[6,1,5,2,8,3,7,4]=>[8,2,6,4,7,3,5,1]=>[1,5,3,7,4,6,2,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,1,8,3,7,2,6,5]=>[6,2,8,4,7,1,5,3]=>[3,5,1,7,4,8,2,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[3,1,8,4,7,2,6,5]=>[6,2,8,4,7,1,5,3]=>[3,5,1,7,4,8,2,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[2,1,8,4,7,3,6,5]=>[2,1,8,6,7,4,5,3]=>[3,5,4,7,6,8,1,2]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[2,1,7,4,8,3,6,5]=>[2,1,8,6,7,4,5,3]=>[3,5,4,7,6,8,1,2]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[3,1,7,4,8,2,6,5]=>[6,2,8,4,7,1,5,3]=>[3,5,1,7,4,8,2,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[4,1,7,3,8,2,6,5]=>[6,2,8,4,7,1,5,3]=>[3,5,1,7,4,8,2,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[5,1,7,3,8,2,6,4]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[5,4,1,8,7,2,3,6]=>[[[.,[.,[.,.]]],.],[[[.,.],.],.]]
[5,3,6,2,8,1,4,7]=>[7,6,4,3,8,2,1,5]=>[5,1,2,8,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[5,3,6,2,4,8,1,7]=>[7,5,4,3,2,8,1,6]=>[6,1,8,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[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]=>[6,1,8,2,4,3,5,7]=>[[.,[.,[[.,.],[.,.]]]],[[.,.],.]]
[4,5,2,1,6,8,3,7]=>[7,4,3,2,5,8,1,6]=>[6,1,8,5,2,3,4,7]=>[[.,[[.,[.,[.,.]]],.]],[[.,.],.]]
[5,6,2,8,1,3,4,7]=>[7,6,5,8,3,2,1,4]=>[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[3,5,6,1,4,8,2,7]=>[7,5,4,3,2,8,1,6]=>[6,1,8,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[4,1,5,6,3,8,2,7]=>[7,2,5,4,3,8,1,6]=>[6,1,8,3,4,5,2,7]=>[[.,[[.,.],[.,[.,.]]]],[[.,.],.]]
[4,5,1,6,3,8,2,7]=>[7,5,3,4,2,8,1,6]=>[6,1,8,2,4,3,5,7]=>[[.,[.,[[.,.],[.,.]]]],[[.,.],.]]
[4,5,6,3,2,8,1,7]=>[7,5,4,3,2,8,1,6]=>[6,1,8,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,7,1,5,8,3,2,6]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[5,3,7,8,1,4,2,6]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[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]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[7,4,1,5,8,3,6,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[5,6,7,3,2,1,8,4]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,6,7,3,2,8,4,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,6,2,7,3,8,4,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,6,2,7,3,1,8,4]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,6,2,1,7,3,8,4]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[6,1,7,4,2,8,3,5]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,7,4,2,1,8,3,5]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[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]=>[3,1,4,2,6,8,5,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[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]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,1,6,2,7,8,4,3]=>[8,2,7,4,5,6,3,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[5,6,2,1,7,8,4,3]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[5,6,2,7,1,8,4,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,6,1,7,8,4,3,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[4,7,1,2,8,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[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]=>[5,7,1,8,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[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]=>[1,4,6,5,7,3,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[8,2,5,1,3,6,4,7]=>[8,4,7,2,5,6,3,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,1,4,5,6,3,2,7]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,5,3,7,2,1,8,6]=>[6,5,3,8,2,1,7,4]=>[4,7,1,2,8,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[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]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[4,3,6,7,2,8,1,5]=>[7,5,8,4,2,6,1,3]=>[3,1,6,2,4,8,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[1,4,3,6,7,2,8,5]=>[1,6,3,8,5,2,7,4]=>[4,7,2,5,8,3,6,1]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[4,5,3,7,1,8,2,6]=>[7,5,3,8,2,6,1,4]=>[4,1,6,2,8,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[5,3,4,7,1,2,8,6]=>[6,5,3,8,2,1,7,4]=>[4,7,1,2,8,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[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]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,3,6,5,4,7,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[4,6,1,7,8,3,5,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,6,7,1,4,8,5,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,2,4,1,7,8,5,3]=>[8,4,7,2,5,6,3,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[2,6,7,1,4,8,3,5]=>[4,8,7,1,5,6,3,2]=>[2,3,6,5,1,7,8,4]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[1,5,3,6,7,8,2,4]=>[1,8,7,4,5,6,3,2]=>[2,3,6,5,4,7,8,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[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]=>[3,1,6,5,2,8,4,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[5,3,1,7,8,2,4,6]=>[7,6,3,8,5,2,1,4]=>[4,1,2,5,8,3,6,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[4,5,2,7,8,1,3,6]=>[7,6,3,8,5,2,1,4]=>[4,1,2,5,8,3,6,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[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]=>[4,7,6,5,8,1,2,3]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[3,7,4,2,1,5,8,6]=>[5,8,4,3,1,6,7,2]=>[2,7,6,1,3,4,8,5]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[1,7,3,4,2,5,8,6]=>[1,8,5,4,3,6,7,2]=>[2,7,6,3,4,5,8,1]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[4,7,2,1,3,5,8,6]=>[5,8,4,3,1,6,7,2]=>[2,7,6,1,3,4,8,5]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[2,4,6,1,7,3,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,3,6,5,2,7,4,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[6,3,1,7,8,2,5,4]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[4,6,1,7,8,5,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,1,2,6,7,8,4,3]=>[8,2,3,7,5,6,4,1]=>[1,4,6,5,7,3,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[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]=>[2,4,6,5,7,3,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,6,4,7,8,5,2,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,6,7,1,3,8,5,4]=>[4,8,7,1,5,6,3,2]=>[2,3,6,5,1,7,8,4]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,4,3,6,5,1,2,7]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,6,2,7,3,5,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,7,2,6,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,7,6,2,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,7,5,4,8,3,6,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[4,1,2,6,5,8,7,3]=>[8,2,3,5,4,7,6,1]=>[1,6,7,4,5,3,2,8]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[7,1,5,4,8,2,6,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,5,4,7,6,2,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,8,6,7,4,5,3,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,1,6,7,4,5,2,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,1,6,8,4,2,5,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,1,7,8,2,4,5,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,1,7,2,8,4,6,3]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[4,1,2,7,8,5,6,3]=>[8,2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[3,2,1,7,8,5,6,4]=>[3,2,1,8,7,6,5,4]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[3,2,8,7,1,5,4,6]=>[5,2,8,7,1,6,4,3]=>[3,4,6,1,7,8,2,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[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]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,6,7,8,3,4,5,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[2,4,1,3,7,5,8,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[3,2,6,8,4,1,5,7]=>[6,2,7,8,5,1,3,4]=>[4,3,1,5,8,7,2,6]=>[[[.,[.,.]],.],[.,[[[.,.],.],.]]]
[4,6,2,8,3,1,5,7]=>[6,7,5,8,3,1,2,4]=>[4,2,1,3,8,5,7,6]=>[[[.,.],[.,.]],[[.,[[.,.],.]],.]]
[5,6,8,2,3,1,4,7]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[6,5,8,3,2,1,4,7]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[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]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,4,3,7,8,5,6,2]=>[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[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]=>[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[4,5,2,3,8,1,6,7]=>[6,4,3,2,8,1,7,5]=>[5,7,1,8,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[4,5,2,3,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[6,4,3,1,2,8,7,5]=>[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[7,4,3,1,8,2,6,5]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[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]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,5,1,3,7,6,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,5,1,3,8,2,6,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,6,2,1,3,8,7,5]=>[5,8,4,3,1,7,6,2]=>[2,6,7,1,3,4,8,5]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[3,2,7,1,8,4,6,5]=>[4,2,8,1,7,6,5,3]=>[3,5,6,7,1,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[4,7,2,1,8,3,6,5]=>[6,8,4,3,7,1,5,2]=>[2,5,1,7,3,4,8,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[5,7,1,2,8,3,6,4]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[6,7,1,8,2,3,5,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,6,1,8,3,2,5,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,6,1,7,3,5,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,6,8,7,3,5,4,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,7,8,6,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,7,1,6,5,3,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,8,1,6,5,2,3,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,8,1,7,2,5,3,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,8,1,2,7,6,3,4]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[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]=>[3,5,6,7,1,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[4,1,2,8,7,6,5,3]=>[8,2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[5,1,8,2,7,6,4,3]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,1,8,7,2,5,4,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,1,8,6,5,2,4,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,7,6,5,4,2,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,1,2,6,5,8,7,4]=>[3,2,1,8,5,7,6,4]=>[4,6,7,5,8,1,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[4,5,1,2,3,8,7,6]=>[5,4,3,2,1,8,7,6]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[4,6,1,2,3,8,7,5]=>[5,8,3,4,1,7,6,2]=>[2,6,7,1,4,3,8,5]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[5,4,1,2,3,8,7,6]=>[5,4,3,2,1,8,7,6]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[5,4,1,2,7,3,6,8]=>[6,4,3,2,7,1,5,8]=>[8,5,1,7,2,3,4,6]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[6,4,1,7,2,3,5,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[6,4,1,8,2,3,5,7]=>[7,6,3,8,5,2,1,4]=>[4,1,2,5,8,3,6,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[7,4,1,2,8,3,6,5]=>[8,6,3,4,7,2,5,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[7,5,1,2,8,3,6,4]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[7,1,5,2,8,4,6,3]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[1,7,5,3,8,4,6,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,5,3,7,4,6,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,1,5,2,7,4,6,3]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,5,1,2,7,3,6,4]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[8,4,1,2,7,3,6,5]=>[8,6,3,4,7,2,5,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[8,4,1,7,2,3,5,6]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[7,4,1,6,2,3,5,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[8,6,1,7,2,3,5,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,1,6,7,2,4,5,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,8,6,7,3,4,5,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,7,6,8,3,4,5,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,1,6,8,2,4,5,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,6,1,8,2,3,5,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,7,1,2,8,3,6,5]=>[6,8,3,4,7,1,5,2]=>[2,5,1,7,4,3,8,6]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[3,1,7,2,8,4,6,5]=>[4,2,8,1,7,6,5,3]=>[3,5,6,7,1,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[3,1,2,7,8,5,6,4]=>[3,2,1,8,7,6,5,4]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[1,4,3,8,7,5,6,2]=>[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[4,1,2,8,7,5,6,3]=>[8,2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[3,1,2,8,7,5,6,4]=>[3,2,1,8,7,6,5,4]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[3,1,8,2,7,4,6,5]=>[4,2,8,1,7,6,5,3]=>[3,5,6,7,1,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[3,1,8,7,2,4,5,6]=>[5,2,8,7,1,6,4,3]=>[3,4,6,1,7,8,2,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[3,1,7,6,2,4,5,8]=>[5,2,7,6,1,4,3,8]=>[8,3,4,1,6,7,2,5]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[4,8,1,6,2,3,5,7]=>[6,8,3,7,5,1,4,2]=>[2,4,1,5,7,3,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[4,8,1,7,2,3,5,6]=>[6,8,3,7,5,1,4,2]=>[2,4,1,5,7,3,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[4,8,1,2,7,3,6,5]=>[6,8,3,4,7,1,5,2]=>[2,5,1,7,4,3,8,6]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[5,8,1,2,7,3,6,4]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[5,1,8,2,7,4,6,3]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[1,5,8,3,7,4,6,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,6,8,7,3,4,5,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,1,8,7,2,4,5,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,8,1,7,2,3,5,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,8,1,6,2,3,5,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,1,8,6,2,4,5,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,7,8,6,3,4,5,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,7,6,3,4,5,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,1,7,6,2,4,5,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,7,1,6,2,3,5,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,2,5,3,7,6,8,1]=>[8,4,3,2,6,5,7,1]=>[1,7,5,6,2,3,4,8]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[4,2,5,3,7,1,8,6]=>[6,4,3,2,8,1,7,5]=>[5,7,1,8,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[4,3,5,2,7,1,8,6]=>[6,4,3,2,8,1,7,5]=>[5,7,1,8,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[4,3,6,2,7,5,8,1]=>[8,4,6,2,5,3,7,1]=>[1,7,3,5,2,6,4,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[4,3,6,2,7,1,8,5]=>[6,4,8,2,5,1,7,3]=>[3,7,1,5,2,8,4,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[4,3,6,1,7,2,8,5]=>[6,4,8,2,5,1,7,3]=>[3,7,1,5,2,8,4,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[4,3,5,1,7,2,8,6]=>[6,4,3,2,8,1,7,5]=>[5,7,1,8,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[2,1,5,4,7,3,8,6]=>[2,1,6,4,8,3,7,5]=>[5,7,3,8,4,6,1,2]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[4,3,5,1,7,6,8,2]=>[8,4,3,2,6,5,7,1]=>[1,7,5,6,2,3,4,8]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[4,3,6,1,7,5,8,2]=>[8,4,6,2,5,3,7,1]=>[1,7,3,5,2,6,4,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[4,3,6,5,7,1,8,2]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[5,3,6,4,7,2,8,1]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[5,3,6,4,7,1,8,2]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[5,3,6,1,7,4,8,2]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[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]=>[3,7,4,5,6,8,1,2]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[2,1,6,4,7,3,8,5]=>[2,1,8,6,5,4,7,3]=>[3,7,4,5,6,8,1,2]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[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]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[5,3,6,2,7,1,8,4]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[5,3,6,2,7,4,8,1]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[5,2,6,3,7,4,8,1]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[5,2,6,3,7,1,8,4]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[5,2,6,1,7,3,8,4]=>[8,4,6,2,5,3,7,1]=>[1,7,3,5,2,6,4,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[4,2,5,1,7,3,8,6]=>[6,4,3,2,8,1,7,5]=>[5,7,1,8,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[4,2,6,1,7,3,8,5]=>[6,4,8,2,5,1,7,3]=>[3,7,1,5,2,8,4,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[4,2,6,3,7,1,8,5]=>[6,4,8,2,5,1,7,3]=>[3,7,1,5,2,8,4,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[4,2,6,3,7,5,8,1]=>[8,4,6,2,5,3,7,1]=>[1,7,3,5,2,6,4,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[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]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[4,2,6,5,7,1,8,3]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[4,2,6,1,7,5,8,3]=>[8,4,6,2,5,3,7,1]=>[1,7,3,5,2,6,4,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[4,2,5,1,7,6,8,3]=>[8,4,3,2,6,5,7,1]=>[1,7,5,6,2,3,4,8]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[2,1,5,3,7,6,8,4]=>[2,1,8,4,6,5,7,3]=>[3,7,5,6,4,8,1,2]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[2,1,6,3,7,5,8,4]=>[2,1,8,4,6,5,7,3]=>[3,7,5,6,4,8,1,2]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[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]=>[1,7,3,5,2,6,4,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[5,2,6,4,7,1,8,3]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[5,2,6,4,7,3,8,1]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[5,4,6,2,7,3,8,1]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[5,4,6,2,7,1,8,3]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[5,4,6,1,7,2,8,3]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[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]=>[3,7,4,5,6,8,1,2]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[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]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[5,4,6,3,7,1,8,2]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[8,3,5,2,1,6,4,7]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[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]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[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]=>[4,7,1,2,8,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,1,5,6,4,3,2,7]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,7,4,3,2,1,8,6]=>[6,8,5,4,3,1,7,2]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[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]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[5,4,7,3,1,8,2,6]=>[7,5,8,4,2,6,1,3]=>[3,1,6,2,4,8,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[3,7,5,1,4,2,8,6]=>[6,8,5,4,3,1,7,2]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[5,7,4,2,1,3,8,6]=>[6,8,5,4,3,1,7,2]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,8,1,6,7,3,5,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[2,7,6,8,1,4,3,5]=>[5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[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]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[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]=>[3,1,6,4,5,8,2,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[2,1,6,5,7,8,3,4]=>[2,1,8,7,5,6,4,3]=>[3,4,6,5,7,8,1,2]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[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]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[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]=>[3,7,6,5,1,8,2,4]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]
[5,3,7,2,1,8,4,6]=>[7,5,8,4,2,6,1,3]=>[3,1,6,2,4,8,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[4,7,3,2,1,5,8,6]=>[5,8,4,3,1,6,7,2]=>[2,7,6,1,3,4,8,5]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[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]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[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]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,1,2,5,6,7,4,3]=>[8,2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[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]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[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]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,7,4,8,2,6,5,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,1,6,7,5,4,3,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,5,3,1,2,4,8,7]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[4,6,3,5,1,2,8,7]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[7,8,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]
[2,6,1,4,5,3,8,7]=>[3,6,1,5,4,2,8,7]=>[7,8,2,4,5,1,6,3]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]
[6,1,2,4,5,3,8,7]=>[6,2,3,5,4,1,8,7]=>[7,8,1,4,5,3,2,6]=>[[.,[[[.,.],.],[.,[.,.]]]],[.,.]]
[5,6,3,2,1,4,8,7]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[5,4,3,6,1,2,8,7]=>[6,5,3,4,2,1,8,7]=>[7,8,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]
[6,3,1,4,5,2,8,7]=>[6,5,3,4,2,1,8,7]=>[7,8,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]
[3,1,6,4,5,2,8,7]=>[6,2,5,4,3,1,8,7]=>[7,8,1,3,4,5,2,6]=>[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]
[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]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[8,1,7,4,2,6,3,5]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,6,8,5,7,3,4]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,3,6,5,2,7,4,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[4,1,8,3,5,6,7,2]=>[8,2,7,4,5,6,3,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[3,8,4,2,5,6,7,1]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[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]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[2,1,5,8,4,6,7,3]=>[2,1,8,7,5,6,4,3]=>[3,4,6,5,7,8,1,2]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[2,1,4,8,3,6,7,5]=>[2,1,5,8,3,7,6,4]=>[4,6,7,3,8,5,1,2]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]
[6,4,3,8,2,1,7,5]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[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]=>[3,5,6,7,1,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[2,3,8,1,5,6,7,4]=>[4,2,8,1,7,6,5,3]=>[3,5,6,7,1,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[4,3,8,2,5,6,7,1]=>[8,4,7,2,5,6,3,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[4,8,2,3,5,6,7,1]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[3,8,2,1,5,6,7,4]=>[4,8,3,1,7,6,5,2]=>[2,5,6,7,1,3,8,4]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[8,1,2,3,5,6,7,4]=>[8,2,3,4,7,6,5,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[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]=>[3,6,7,5,4,8,1,2]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]
[2,1,7,8,5,4,3,6]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[4,8,3,6,2,1,7,5]=>[6,8,5,7,3,1,4,2]=>[2,4,1,3,7,5,8,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[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]=>[5,7,6,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[4,1,3,2,6,8,7,5]=>[4,2,3,1,8,7,6,5]=>[5,6,7,8,1,3,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]
[7,5,3,6,2,8,1,4]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[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]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[7,1,6,4,5,8,2,3]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[5,7,3,6,1,8,2,4]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,1,7,6,5,8,3,4]=>[2,1,8,7,5,6,4,3]=>[3,4,6,5,7,8,1,2]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[2,1,8,5,3,6,7,4]=>[2,1,8,7,5,6,4,3]=>[3,4,6,5,7,8,1,2]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[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]=>[1,3,6,5,4,7,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[2,8,4,1,5,6,7,3]=>[4,8,7,1,5,6,3,2]=>[2,3,6,5,1,7,8,4]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[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]=>[1,3,6,5,2,7,4,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[3,4,2,8,5,6,7,1]=>[8,3,2,7,5,6,4,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[2,4,1,8,5,6,7,3]=>[3,8,1,7,5,6,4,2]=>[2,4,6,5,7,1,8,3]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[4,1,2,8,5,6,7,3]=>[8,2,3,7,5,6,4,1]=>[1,4,6,5,7,3,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[8,4,2,1,5,6,7,3]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[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]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[6,4,3,5,8,1,7,2]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[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]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[4,3,1,8,5,6,7,2]=>[8,3,2,7,5,6,4,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[3,1,4,8,5,6,7,2]=>[8,2,3,7,5,6,4,1]=>[1,4,6,5,7,3,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[6,5,3,7,2,8,4,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,3,7,4,5,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,7,2,4,5,8,3,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,1,7,4,8,6,3,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,6,3,1,8,2,7,4]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[4,6,3,5,8,2,7,1]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[4,6,3,8,1,2,7,5]=>[6,8,5,7,3,1,4,2]=>[2,4,1,3,7,5,8,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[3,7,8,4,1,6,2,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[3,6,2,5,4,8,1,7]=>[7,5,3,4,2,8,1,6]=>[6,1,8,2,4,3,5,7]=>[[.,[.,[[.,.],[.,.]]]],[[.,.],.]]
[3,5,2,4,7,1,8,6]=>[6,4,3,2,8,1,7,5]=>[5,7,1,8,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[3,5,8,2,4,7,6,1]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[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]=>[6,1,8,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[5,4,2,1,6,8,3,7]=>[7,4,3,2,5,8,1,6]=>[6,1,8,5,2,3,4,7]=>[[.,[[.,[.,[.,.]]],.]],[[.,.],.]]
[6,3,5,1,4,8,2,7]=>[7,5,4,3,2,8,1,6]=>[6,1,8,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[4,6,1,5,3,8,2,7]=>[7,5,3,4,2,8,1,6]=>[6,1,8,2,4,3,5,7]=>[[.,[.,[[.,.],[.,.]]]],[[.,.],.]]
[5,1,6,4,3,8,2,7]=>[7,2,5,4,3,8,1,6]=>[6,1,8,3,4,5,2,7]=>[[.,[[.,.],[.,[.,.]]]],[[.,.],.]]
[5,4,3,2,7,1,8,6]=>[6,4,3,2,8,1,7,5]=>[5,7,1,8,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[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]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[4,3,7,6,2,1,8,5]=>[6,5,8,4,2,1,7,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[6,4,3,1,7,2,8,5]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[7,5,4,3,1,8,2,6]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[1,4,7,5,8,3,2,6]=>[1,7,8,6,5,4,2,3]=>[3,2,4,5,6,8,7,1]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[7,1,3,5,8,4,2,6]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[2,4,3,5,7,6,8,1]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[1,5,4,8,7,3,6,2]=>[1,8,6,7,5,3,4,2]=>[2,4,3,5,7,6,8,1]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[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]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[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]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,5,8,6,3,7,4,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,6,1,8,7,3,5,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,7,6,4,8,3,2,5]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,1,6,3,2,8,4]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,5,2,1,7,3,8,4]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[5,2,7,4,1,8,3,6]=>[7,5,8,4,2,6,1,3]=>[3,1,6,2,4,8,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[4,7,2,6,3,1,8,5]=>[6,8,5,4,3,1,7,2]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[2,4,8,6,3,7,5,1]=>[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,6,7,2,1,4,8,5]=>[5,8,6,4,1,3,7,2]=>[2,7,3,1,4,6,8,5]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]
[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]=>[2,4,1,5,7,3,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[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]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[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]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,5,1,8,2,6,4,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,7,1,8,6,2,5,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,1,8,6,5,4,3,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,4,2,7,3,5,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,4,2,6,3,5,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,4,2,6,3,1,5,7]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[4,7,2,6,3,5,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,7,6,2,3,4,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,7,5,2,8,3,4,6]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[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]=>[2,4,1,3,7,5,8,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[3,2,8,6,4,1,5,7]=>[6,2,8,7,5,1,4,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[3,2,1,6,4,8,5,7]=>[3,2,1,7,5,8,4,6]=>[6,4,8,5,7,1,2,3]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]
[7,1,5,2,8,3,4,6]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[1,8,5,2,7,3,4,6]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,8,6,7,2,3,4,5]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,1,6,7,2,3,4,5]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,1,6,8,2,3,4,5]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,2,1,7,8,4,5,6]=>[3,2,1,8,7,6,5,4]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[3,2,8,7,1,4,5,6]=>[5,2,8,7,1,6,4,3]=>[3,4,6,1,7,8,2,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[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]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,5,8,2,3,1,4,7]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[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]=>[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[5,4,2,3,8,1,6,7]=>[6,4,3,2,8,1,7,5]=>[5,7,1,8,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[3,2,5,4,1,8,6,7]=>[5,2,4,3,1,8,7,6]=>[6,7,8,1,3,4,2,5]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]
[4,5,2,3,1,8,6,7]=>[5,4,3,2,1,8,7,6]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[5,4,2,3,1,8,6,7]=>[5,4,3,2,1,8,7,6]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[6,4,2,1,3,8,5,7]=>[7,5,4,3,2,8,1,6]=>[6,1,8,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[7,4,2,1,8,3,5,6]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[8,4,2,1,7,3,5,6]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[8,5,1,2,7,3,4,6]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[7,5,1,2,8,3,4,6]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[6,5,1,2,3,8,4,7]=>[7,5,3,4,2,8,1,6]=>[6,1,8,2,4,3,5,7]=>[[.,[.,[[.,.],[.,.]]]],[[.,.],.]]
[4,6,2,1,3,8,5,7]=>[5,7,4,3,1,8,2,6]=>[6,2,8,1,3,4,7,5]=>[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]
[3,2,7,1,8,4,5,6]=>[4,2,8,1,7,6,5,3]=>[3,5,6,7,1,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[4,7,2,1,8,3,5,6]=>[6,8,4,3,7,1,5,2]=>[2,5,1,7,3,4,8,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[7,6,1,8,2,3,4,5]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,6,1,7,2,3,4,5]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,6,8,7,2,3,4,5]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,7,8,6,2,3,4,5]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,8,1,6,2,3,4,5]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,8,1,7,2,3,4,5]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,8,2,1,7,3,5,6]=>[6,8,4,3,7,1,5,2]=>[2,5,1,7,3,4,8,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[3,2,8,1,7,4,5,6]=>[4,2,8,1,7,6,5,3]=>[3,5,6,7,1,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[3,2,1,8,7,4,5,6]=>[3,2,1,8,7,6,5,4]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[6,1,8,7,2,3,4,5]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,7,6,2,3,4,5]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,8,7,6,2,3,4,5]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,3,5,1,2,4,8,7]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[4,3,5,6,1,2,8,7]=>[6,5,3,4,2,1,8,7]=>[7,8,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,5,2,7,1,8,3,4]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[7,8,2,4,5,1,6,3]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]
[6,4,3,5,1,2,8,7]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[3,1,4,6,5,2,8,7]=>[6,2,3,5,4,1,8,7]=>[7,8,1,4,5,3,2,6]=>[[.,[[[.,.],.],[.,[.,.]]]],[.,.]]
[5,7,4,6,2,8,3,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,1,4,7,2,6,3,5]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,4,7,8,5,2,1,6]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[2,1,8,5,7,3,4,6]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[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]=>[1,5,3,7,4,6,2,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[2,5,4,6,7,1,8,3]=>[6,8,3,4,5,1,7,2]=>[2,7,1,5,4,3,8,6]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]
[2,4,6,3,7,5,8,1]=>[8,4,6,2,5,3,7,1]=>[1,7,3,5,2,6,4,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[4,1,6,3,8,5,7,2]=>[8,2,6,4,7,3,5,1]=>[1,5,3,7,4,6,2,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[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]=>[4,6,7,3,8,5,1,2]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]
[7,4,3,8,2,1,6,5]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[6,3,7,4,1,8,2,5]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[3,5,6,7,1,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[2,3,8,1,6,7,5,4]=>[4,2,8,1,7,6,5,3]=>[3,5,6,7,1,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[4,3,7,2,6,8,5,1]=>[8,4,7,2,5,6,3,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[4,7,2,3,8,5,6,1]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[3,8,2,1,7,5,6,4]=>[4,8,3,1,7,6,5,2]=>[2,5,6,7,1,3,8,4]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,7,5,3,6,8,4]=>[2,1,8,6,5,4,7,3]=>[3,7,4,5,6,8,1,2]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[6,7,3,5,2,1,8,4]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[2,7,3,5,1,6,8,4]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[4,6,1,2,8,7,3,5]=>[7,8,3,4,6,5,1,2]=>[2,1,5,6,4,3,8,7]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]
[4,1,2,5,8,6,7,3]=>[8,2,3,4,7,6,5,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[6,4,2,1,5,8,7,3]=>[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,1,5,3,6,8,7,4]=>[2,1,8,4,5,7,6,3]=>[3,6,7,5,4,8,1,2]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]
[7,3,5,4,6,1,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,3,4,1,5,7,8,2]=>[8,5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[3,1,4,5,6,8,7,2]=>[8,2,3,4,5,7,6,1]=>[1,6,7,5,4,3,2,8]=>[.,[[[[[.,.],.],.],.],[.,[.,.]]]]
[4,5,2,6,3,1,8,7]=>[6,5,3,4,2,1,8,7]=>[7,8,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]
[6,5,2,1,4,3,8,7]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[6,5,2,7,4,8,3,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,1,6,5,4,2,8,7]=>[6,2,5,4,3,1,8,7]=>[7,8,1,3,4,5,2,6]=>[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]
[5,6,3,2,4,1,8,7]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[3,6,2,4,1,5,8,7]=>[5,6,3,4,1,2,8,7]=>[7,8,2,1,4,3,6,5]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]
[2,6,1,3,5,4,8,7]=>[3,6,1,4,5,2,8,7]=>[7,8,2,5,4,1,6,3]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]
[6,7,2,3,4,8,5,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,6,3,7,4,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,1,6,7,4,8,5,3]=>[2,1,8,7,5,6,4,3]=>[3,4,6,5,7,8,1,2]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[2,1,8,7,4,3,6,5]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[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]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[7,8,1,3,5,2,6,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[8,1,6,3,2,5,4,7]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[2,8,4,1,6,3,7,5]=>[4,8,6,1,7,3,5,2]=>[2,5,3,7,1,6,8,4]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[4,8,1,2,7,6,3,5]=>[7,8,3,4,6,5,1,2]=>[2,1,5,6,4,3,8,7]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]
[3,8,4,2,5,7,1,6]=>[7,8,4,3,5,6,1,2]=>[2,1,6,5,3,4,8,7]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]
[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]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,4,2,8,5,7,6,1]=>[8,3,2,7,5,6,4,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[2,4,1,8,7,6,5,3]=>[3,8,1,7,6,5,4,2]=>[2,4,5,6,7,1,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[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]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[3,1,4,8,6,5,7,2]=>[8,2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[7,1,6,5,4,8,2,3]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[7,5,2,6,3,8,1,4]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,1,2,3,6,8,7,5]=>[4,2,3,1,8,7,6,5]=>[5,6,7,8,1,3,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]
[2,4,3,1,8,5,6,7]=>[4,3,2,1,8,6,7,5]=>[5,7,6,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[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]=>[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,5,8,4,6,3,7]=>[2,1,7,8,5,6,3,4]=>[4,3,6,5,8,7,1,2]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]
[6,5,3,8,4,1,2,7]=>[7,6,5,8,3,2,1,4]=>[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[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]=>[3,1,6,5,2,8,4,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[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]=>[1,5,2,7,4,3,6,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[4,3,8,2,5,1,7,6]=>[6,4,8,2,5,1,7,3]=>[3,7,1,5,2,8,4,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[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]=>[4,7,6,3,8,5,1,2]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]
[6,8,2,4,3,5,1,7]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[4,8,2,3,5,1,6,7]=>[6,8,4,3,5,1,7,2]=>[2,7,1,5,3,4,8,6]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]
[3,8,2,1,4,6,5,7]=>[4,8,3,1,5,7,6,2]=>[2,6,7,5,1,3,8,4]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]
[2,8,4,1,6,5,3,7]=>[4,8,7,1,6,5,3,2]=>[2,3,5,6,1,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[2,8,4,1,6,5,7,3]=>[4,8,7,1,6,5,3,2]=>[2,3,5,6,1,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[2,8,7,6,1,4,3,5]=>[5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[3,5,7,2,4,1,6,8]=>[6,5,7,4,2,1,3,8]=>[8,3,1,2,4,7,5,6]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,8,5,3,4,1,7,6]=>[6,8,5,4,3,1,7,2]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[2,8,5,3,4,1,6,7]=>[6,8,5,4,3,1,7,2]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[2,8,7,6,1,4,5,3]=>[5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[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]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[2,8,5,3,4,6,1,7]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[2,8,5,3,4,6,7,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,5,7,2,4,6,1,8]=>[7,5,6,4,2,3,1,8]=>[8,1,3,2,4,6,5,7]=>[[.,[[.,.],[.,[[.,.],[.,.]]]]],.]
[6,5,2,7,3,1,4,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,5,2,8,3,1,7,4]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[6,5,2,8,3,1,4,7]=>[7,6,5,8,3,2,1,4]=>[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[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]=>[2,6,7,1,3,4,8,5]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[3,5,7,6,1,4,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,5,7,2,4,1,8,6]=>[6,5,8,4,2,1,7,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[3,5,7,2,4,6,8,1]=>[8,5,6,4,2,3,7,1]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[6,5,2,7,3,1,8,4]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,5,2,6,3,1,7,8]=>[6,5,3,4,2,1,7,8]=>[8,7,1,2,4,3,5,6]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,1,6,7,4,3,8,2]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[5,1,2,6,4,8,7,3]=>[8,2,3,5,4,7,6,1]=>[1,6,7,4,5,3,2,8]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[5,1,2,8,6,4,7,3]=>[8,2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[5,1,6,8,7,3,4,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[5,6,7,8,1,3,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]
[4,1,2,3,8,6,5,7]=>[4,2,3,1,8,7,6,5]=>[5,6,7,8,1,3,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]
[4,1,2,3,8,6,7,5]=>[4,2,3,1,8,7,6,5]=>[5,6,7,8,1,3,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]
[4,1,2,3,7,6,5,8]=>[4,2,3,1,7,6,5,8]=>[8,5,6,7,1,3,2,4]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,1,2,8,4,5,7,3]=>[8,2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[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]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,1,6,8,7,3,2,4]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,1,6,8,4,3,2,5]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[4,1,8,3,6,2,7,5]=>[6,2,8,4,7,1,5,3]=>[3,5,1,7,4,8,2,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[7,1,6,5,8,3,2,4]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,1,6,7,8,3,2,5]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[4,1,6,5,7,3,2,8]=>[7,2,6,4,5,3,1,8]=>[8,1,3,5,4,6,2,7]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[4,5,2,6,3,7,1,8]=>[7,5,3,4,2,6,1,8]=>[8,1,6,2,4,3,5,7]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[4,5,2,7,3,8,1,6]=>[7,5,3,8,2,6,1,4]=>[4,1,6,2,8,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[3,5,6,2,4,8,7,1]=>[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[3,5,6,2,4,8,1,7]=>[7,5,4,3,2,8,1,6]=>[6,1,8,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[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]=>[2,5,1,7,3,4,8,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[7,1,6,5,8,3,4,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,5,2,6,3,8,4,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,1,2,3,5,8,7,6]=>[4,2,3,1,5,8,7,6]=>[6,7,8,5,1,3,2,4]=>[[[.,[[.,.],[.,.]]],.],[.,[.,.]]]
[4,1,2,3,7,8,6,5]=>[4,2,3,1,8,7,6,5]=>[5,6,7,8,1,3,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,1,2,5,6,8,7,3]=>[8,2,3,4,5,7,6,1]=>[1,6,7,5,4,3,2,8]=>[.,[[[[[.,.],.],.],.],[.,[.,.]]]]
[4,5,2,6,3,7,8,1]=>[8,5,3,4,2,6,7,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]
[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]=>[8,1,6,2,4,3,5,7]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[2,4,8,1,5,7,3,6]=>[4,7,8,1,5,6,2,3]=>[3,2,6,5,1,8,7,4]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]
[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]=>[8,1,2,5,4,3,6,7]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,2,1,7,5,4,3,8]=>[7,3,2,6,5,4,1,8]=>[8,1,4,5,6,2,3,7]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[2,1,8,7,5,4,3,6]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[1,3,8,2,6,4,7,5]=>[1,4,8,2,7,6,5,3]=>[3,5,6,7,2,8,4,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[5,3,7,1,6,4,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,3,6,2,7,4,1,8]=>[7,6,4,3,5,2,1,8]=>[8,1,2,5,3,4,6,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[6,1,2,5,8,7,4,3]=>[8,2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[6,3,1,8,4,2,7,5]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[6,4,2,1,5,3,8,7]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[6,4,3,7,5,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[8,3,2,5,1,7,6,4]=>[[[[.,.],.],[[.,.],[[.,.],.]]],.]
[2,1,7,5,6,8,4,3]=>[2,1,8,7,5,6,4,3]=>[3,4,6,5,7,8,1,2]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[3,7,2,8,6,4,1,5]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[3,8,1,7,6,4,5,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,8,5,7,3,6,4,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[2,4,3,5,7,6,8,1]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[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]=>[3,1,6,5,2,8,4,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[4,6,7,5,2,1,3,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,5,6,7,2,8,1,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,5,7,6,1,8,3,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[1,5,8,6,2,7,3,4]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,6,5,8,3,2,7,4]=>[1,8,6,7,5,3,4,2]=>[2,4,3,5,7,6,8,1]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[4,6,5,7,1,2,8,3]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,7,5,6,3,1,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,1,6,3,4,2,8,7]=>[6,2,5,4,3,1,8,7]=>[7,8,1,3,4,5,2,6]=>[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]
[5,7,1,4,2,3,8,6]=>[6,8,3,5,4,1,7,2]=>[2,7,1,4,5,3,8,6]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[5,7,6,4,3,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[6,1,8,2,4,3,5,7]=>[[.,[.,[[.,.],[.,.]]]],[[.,.],.]]
[1,6,2,4,7,8,3,5]=>[1,8,3,7,5,6,4,2]=>[2,4,6,5,7,3,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[5,7,2,4,1,6,3,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,1,4,2,8,5,3,7]=>[7,2,6,4,8,3,1,5]=>[5,1,3,8,4,6,2,7]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]
[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]=>[8,1,3,5,4,6,2,7]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[4,8,2,1,5,6,3,7]=>[7,8,4,3,5,6,1,2]=>[2,1,6,5,3,4,8,7]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]
[4,2,7,8,1,6,3,5]=>[7,5,8,6,2,4,1,3]=>[3,1,4,2,6,8,5,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[2,1,8,7,6,5,3,4]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[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]=>[3,7,1,5,2,8,4,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[4,3,7,5,6,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[2,7,1,5,4,3,8,6]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]
[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]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[1,6,8,7,5,2,4,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[4,1,8,6,2,3,5,7]=>[6,2,8,7,5,1,4,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[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]=>[8,3,4,5,6,7,1,2]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[2,8,1,6,4,5,3,7]=>[3,8,1,7,6,5,4,2]=>[2,4,5,6,7,1,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[2,8,7,5,1,4,3,6]=>[5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[2,8,6,7,5,1,3,4]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[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]=>[1,7,5,6,2,3,4,8]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[6,4,2,7,1,3,8,5]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,4,2,5,1,3,8,6]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,5,3,6,1,8,2,4]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,3,7,1,2,5,8,6]=>[5,4,8,2,1,6,7,3]=>[3,7,6,1,2,8,4,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[3,6,2,7,1,4,8,5]=>[5,8,3,6,1,4,7,2]=>[2,7,4,1,6,3,8,5]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]
[5,3,6,7,1,2,8,4]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,3,7,4,1,2,8,5]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,7,1,5,2,3,8,6]=>[6,8,3,5,4,1,7,2]=>[2,7,1,4,5,3,8,6]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[3,7,5,1,2,4,8,6]=>[5,8,6,4,1,3,7,2]=>[2,7,3,1,4,6,8,5]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]
[7,6,4,2,3,8,1,5]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[3,7,6,1,4,8,2,5]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[5,7,2,6,1,8,3,4]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,4,7,5,2,8,1,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[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]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[2,8,5,7,1,3,4,6]=>[5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[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]=>[4,2,1,3,8,5,7,6]=>[[[.,.],[.,.]],[[.,[[.,.],.]],.]]
[5,4,6,7,2,8,1,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,6,3,7,1,8,2,5]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[3,5,7,1,4,8,2,6]=>[7,5,8,4,2,6,1,3]=>[3,1,6,2,4,8,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[5,3,7,2,4,8,1,6]=>[7,5,8,4,2,6,1,3]=>[3,1,6,2,4,8,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,4,1,6,8,2,3,5]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,4,1,7,8,2,3,6]=>[7,6,3,8,5,2,1,4]=>[4,1,2,5,8,3,6,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[6,5,3,7,1,8,2,4]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,5,1,2,8,6,3,4]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,6,1,8,5,2,3,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,6,1,7,5,2,3,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[3,4,2,1,7,8,6,5]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]
[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]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[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]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[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]=>[3,2,4,1,6,8,7,5]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]]
[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]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[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]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[3,8,7,6,1,2,4,5]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[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]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[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]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,7,8,4,1,6,5,3]=>[5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[7,1,8,4,2,6,5,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,5,1,4,8,6,3,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,5,3,1,8,4,7,2]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[6,4,3,8,1,5,7,2]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[8,6,3,1,2,5,7,4]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,7,1,4,2,6,5,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,3,8,4,1,6,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,3,4,5,6,7,8,9,10,1]=>[10,2,3,4,5,6,7,8,9,1]=>[1,9,8,7,6,5,4,3,2,10]=>[.,[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]]
[3,6,4,5,7,2,8,1]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[5,3,2,7,4,6,8,1]=>[8,5,3,6,2,4,7,1]=>[1,7,4,2,6,3,5,8]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[7,5,3,6,2,4,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,3,2,5,1,8,4,7]=>[7,5,3,4,2,8,1,6]=>[6,1,8,2,4,3,5,7]=>[[.,[.,[[.,.],[.,.]]]],[[.,.],.]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,2,7,3,4,5,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,6,2,7,4,5,8,1]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[4,2,5,7,3,6,8,1]=>[8,5,3,6,2,4,7,1]=>[1,7,4,2,6,3,5,8]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[5,4,7,6,2,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,7,3,5,2,4,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,7,6,2,4,5,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[2,7,6,3,4,5,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,5,3,1,2,8,4,7]=>[7,5,4,3,2,8,1,6]=>[6,1,8,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[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]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[1,6,3,2,8,4,5,7]=>[1,7,4,3,8,6,2,5]=>[5,2,6,8,3,4,7,1]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]
[5,7,3,1,2,8,4,6]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[5,6,2,3,1,8,4,7]=>[7,5,4,3,2,8,1,6]=>[6,1,8,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[4,2,6,5,1,8,3,7]=>[7,5,4,3,2,8,1,6]=>[6,1,8,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[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]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,2,7,3,4,5,6]=>[1,8,3,7,5,6,4,2]=>[2,4,6,5,7,3,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[2,8,1,7,3,4,5,6]=>[3,8,1,7,5,6,4,2]=>[2,4,6,5,7,1,8,3]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[4,8,1,5,7,2,3,6]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[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]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[1,7,3,8,2,4,5,6]=>[1,8,5,7,3,6,4,2]=>[2,4,6,3,7,5,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[8,1,2,7,3,4,5,6]=>[8,2,3,7,5,6,4,1]=>[1,4,6,5,7,3,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[4,2,5,7,1,8,3,6]=>[7,5,3,8,2,6,1,4]=>[4,1,6,2,8,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[3,6,2,7,1,8,4,5]=>[5,8,3,7,1,6,4,2]=>[2,4,6,1,7,3,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[6,3,7,1,2,8,4,5]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[7,2,6,1,8,3,4,5]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,2,6,1,7,3,4,5]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,3,1,5,8,2,4,6]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[5,4,1,3,6,8,2,7]=>[7,4,3,2,5,8,1,6]=>[6,1,8,5,2,3,4,7]=>[[.,[[.,[.,[.,.]]],.]],[[.,.],.]]
[4,3,5,1,6,8,2,7]=>[7,4,3,2,5,8,1,6]=>[6,1,8,5,2,3,4,7]=>[[.,[[.,[.,[.,.]]],.]],[[.,.],.]]
[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]=>[4,1,2,5,8,3,6,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[5,3,1,8,7,2,4,6]=>[7,6,3,8,5,2,1,4]=>[4,1,2,5,8,3,6,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[4,1,2,5,8,3,6,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[3,6,2,8,7,1,4,5]=>[6,8,3,7,5,1,4,2]=>[2,4,1,5,7,3,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[2,3,8,7,1,4,5,6]=>[5,2,8,7,1,6,4,3]=>[3,4,6,1,7,8,2,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[7,2,8,6,1,3,4,5]=>[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[2,1,8,7,3,4,5,6]=>[2,1,8,7,5,6,4,3]=>[3,4,6,5,7,8,1,2]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[8,2,7,6,1,3,4,5]=>[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[1,2,8,7,3,4,5,6]=>[1,2,8,7,5,6,4,3]=>[3,4,6,5,7,8,2,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[1,3,8,7,2,4,5,6]=>[1,5,8,7,2,6,4,3]=>[3,4,6,2,7,8,5,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[1,7,8,3,6,2,4,5]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,1,5,8,7,2,3,6]=>[7,2,6,8,5,3,1,4]=>[4,1,3,5,8,6,2,7]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,6,7,3,2,4,5]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,5,3,7,2,4,6]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,5,3,6,2,4,7]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,5,1,3,6,2,4,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[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]=>[8,1,6,2,4,3,5,7]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[8,1,5,4,6,7,2,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,5,3,6,2,7,4]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,4,3,2,5,7,6]=>[8,2,5,4,3,6,7,1]=>[1,7,6,3,4,5,2,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[8,1,4,3,2,5,6,7]=>[8,2,5,4,3,6,7,1]=>[1,7,6,3,4,5,2,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[7,4,1,3,2,5,6,8]=>[7,5,3,4,2,6,1,8]=>[8,1,6,2,4,3,5,7]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[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]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[6,4,3,1,2,5,8,7]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[7,4,1,3,2,5,8,6]=>[8,5,3,4,2,6,7,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]
[7,4,1,3,2,6,8,5]=>[8,5,3,4,2,6,7,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]
[7,5,1,3,6,2,8,4]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[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]=>[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[6,4,3,7,2,5,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[6,5,3,1,7,2,8,4]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[6,4,3,1,2,7,8,5]=>[8,5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[5,4,3,2,1,8,6,7]=>[5,4,3,2,1,8,7,6]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[6,5,3,1,8,2,7,4]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,4,3,1,2,8,5,7]=>[7,5,4,3,2,8,1,6]=>[6,1,8,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[6,4,3,1,2,7,5,8]=>[7,5,4,3,2,6,1,8]=>[8,1,6,2,3,4,5,7]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[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]=>[8,1,2,5,3,4,6,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[6,5,3,1,8,2,4,7]=>[7,6,4,3,8,2,1,5]=>[5,1,2,8,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[7,5,1,3,8,2,4,6]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,6,1,8,3,2,4,5]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,6,1,8,4,5,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,4,3,7,2,1,5,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[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]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[5,4,3,2,8,1,7,6]=>[6,4,3,2,8,1,7,5]=>[5,7,1,8,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[6,4,3,7,2,1,8,5]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,5,3,7,1,2,8,4]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,5,4,7,1,8,2,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,4,3,2,6,8,1,7]=>[7,4,3,2,5,8,1,6]=>[6,1,8,5,2,3,4,7]=>[[.,[[.,[.,[.,.]]],.]],[[.,.],.]]
[5,6,2,1,3,4,8,7]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[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]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[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]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[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]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[2,6,8,3,1,4,7,5]=>[5,8,7,4,1,6,3,2]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[6,1,8,3,2,4,5,7]=>[7,2,8,5,4,6,1,3]=>[3,1,6,4,5,8,2,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[8,4,1,3,7,6,2,5]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[2,4,1,3,7,5,8,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[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]=>[2,7,6,4,5,3,8,1]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]
[1,7,2,4,3,5,6,8]=>[1,7,3,5,4,6,2,8]=>[8,2,6,4,5,3,7,1]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[1,6,2,4,3,5,7,8]=>[1,6,3,5,4,2,7,8]=>[8,7,2,4,5,3,6,1]=>[[[[.,.],[[.,.],[.,[.,.]]]],.],.]
[1,6,2,5,3,4,7,8]=>[1,6,3,5,4,2,7,8]=>[8,7,2,4,5,3,6,1]=>[[[[.,.],[[.,.],[.,[.,.]]]],.],.]
[1,8,2,5,3,4,6,7]=>[1,8,3,6,5,4,7,2]=>[2,7,4,5,6,3,8,1]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[1,8,2,6,3,4,5,7]=>[1,8,3,7,5,6,4,2]=>[2,4,6,5,7,3,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,8,2,7,3,5,4,6]=>[1,8,3,7,5,6,4,2]=>[2,4,6,5,7,3,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,7,2,8,3,5,4,6]=>[1,8,3,7,5,6,4,2]=>[2,4,6,5,7,3,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,6,2,8,3,5,4,7]=>[1,7,3,8,5,6,2,4]=>[4,2,6,5,8,3,7,1]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[1,5,2,8,3,6,4,7]=>[1,7,3,8,5,6,2,4]=>[4,2,6,5,8,3,7,1]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[1,4,2,8,3,6,5,7]=>[1,5,3,8,2,7,6,4]=>[4,6,7,2,8,3,5,1]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[1,3,2,8,4,6,5,7]=>[1,3,2,8,5,7,6,4]=>[4,6,7,5,8,2,3,1]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[1,2,3,8,4,6,5,7]=>[1,2,3,8,5,7,6,4]=>[4,6,7,5,8,3,2,1]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]
[1,3,2,7,4,6,5,8]=>[1,3,2,7,5,6,4,8]=>[8,4,6,5,7,2,3,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[1,4,2,7,3,6,5,8]=>[1,5,3,7,2,6,4,8]=>[8,4,6,2,7,3,5,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[1,8,2,6,3,5,4,7]=>[1,8,3,7,5,6,4,2]=>[2,4,6,5,7,3,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,8,2,5,3,6,4,7]=>[1,8,3,7,5,6,4,2]=>[2,4,6,5,7,3,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,6,2,5,3,7,4,8]=>[1,7,3,5,4,6,2,8]=>[8,2,6,4,5,3,7,1]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[1,6,2,4,3,7,5,8]=>[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]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[1,7,2,3,4,6,5,8]=>[1,7,3,4,5,6,2,8]=>[8,2,6,5,4,3,7,1]=>[[[.,.],[[[[.,.],.],.],[.,.]]],.]
[1,6,2,4,3,8,5,7]=>[1,7,3,5,4,8,2,6]=>[6,2,8,4,5,3,7,1]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]
[1,5,2,4,3,8,6,7]=>[1,5,3,4,2,8,7,6]=>[6,7,8,2,4,3,5,1]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]
[1,6,2,5,3,8,4,7]=>[1,7,3,5,4,8,2,6]=>[6,2,8,4,5,3,7,1]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]
[1,7,2,5,3,8,4,6]=>[1,8,3,7,5,6,4,2]=>[2,4,6,5,7,3,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,8,2,5,3,7,4,6]=>[1,8,3,7,5,6,4,2]=>[2,4,6,5,7,3,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,8,2,6,3,7,4,5]=>[1,8,3,7,5,6,4,2]=>[2,4,6,5,7,3,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,7,2,6,3,8,4,5]=>[1,8,3,7,5,6,4,2]=>[2,4,6,5,7,3,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,2,3,8,4,7,5,6]=>[1,2,3,8,5,7,6,4]=>[4,6,7,5,8,3,2,1]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]
[1,3,2,8,4,7,5,6]=>[1,3,2,8,5,7,6,4]=>[4,6,7,5,8,2,3,1]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[1,4,2,8,3,7,5,6]=>[1,5,3,8,2,7,6,4]=>[4,6,7,2,8,3,5,1]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[1,5,2,8,3,7,4,6]=>[1,7,3,8,5,6,2,4]=>[4,2,6,5,8,3,7,1]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[1,6,2,8,3,7,4,5]=>[1,8,3,7,5,6,4,2]=>[2,4,6,5,7,3,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,7,2,8,3,6,4,5]=>[1,8,3,7,5,6,4,2]=>[2,4,6,5,7,3,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,8,2,7,3,6,4,5]=>[1,8,3,7,5,6,4,2]=>[2,4,6,5,7,3,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[4,6,3,7,2,5,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,6,3,7,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,6,3,8,5,1,7,2]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[4,6,3,8,5,1,2,7]=>[7,6,5,8,3,2,1,4]=>[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[5,6,8,3,4,1,2,7]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,6,7,2,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[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]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[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]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[3,2,6,8,5,1,7,4]=>[6,2,8,7,5,1,4,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[3,2,6,8,5,1,4,7]=>[6,2,7,8,5,1,3,4]=>[4,3,1,5,8,7,2,6]=>[[[.,[.,.]],.],[.,[[[.,.],.],.]]]
[4,6,2,8,5,1,3,7]=>[7,6,5,8,3,2,1,4]=>[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[5,6,8,2,4,1,3,7]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[5,6,8,4,2,1,3,7]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[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]=>[3,4,6,1,7,8,2,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[3,2,7,8,1,6,5,4]=>[5,2,8,7,1,6,4,3]=>[3,4,6,1,7,8,2,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[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]=>[3,4,6,1,7,8,2,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[3,2,6,8,4,1,7,5]=>[6,2,8,7,5,1,4,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[4,6,2,8,3,1,7,5]=>[6,8,5,7,3,1,4,2]=>[2,4,1,3,7,5,8,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[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]=>[2,4,1,3,7,5,8,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[4,5,3,2,8,1,7,6]=>[6,4,3,2,8,1,7,5]=>[5,7,1,8,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[4,5,2,3,8,1,7,6]=>[6,4,3,2,8,1,7,5]=>[5,7,1,8,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[4,5,3,2,8,1,6,7]=>[6,4,3,2,8,1,7,5]=>[5,7,1,8,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[4,6,3,8,2,1,5,7]=>[6,7,5,8,3,1,2,4]=>[4,2,1,3,8,5,7,6]=>[[[.,.],[.,.]],[[.,[[.,.],.]],.]]
[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]=>[2,4,1,3,7,5,8,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[4,7,3,8,1,2,5,6]=>[6,8,5,7,3,1,4,2]=>[2,4,1,3,7,5,8,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[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]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[3,2,7,8,1,5,4,6]=>[5,2,8,7,1,6,4,3]=>[3,4,6,1,7,8,2,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[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]=>[3,4,6,1,7,8,2,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[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]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[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]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[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]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[2,8,4,3,5,6,1,7]=>[7,8,4,3,5,6,1,2]=>[2,1,6,5,3,4,8,7]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]
[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]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[6,3,2,8,5,1,4,7]=>[7,6,3,8,5,2,1,4]=>[4,1,2,5,8,3,6,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,3,7,5,1,2,8,6]=>[6,5,8,4,2,1,7,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[4,3,7,1,5,6,8,2]=>[8,4,6,2,5,3,7,1]=>[1,7,3,5,2,6,4,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[3,6,1,7,5,2,8,4]=>[6,8,3,5,4,1,7,2]=>[2,7,1,4,5,3,8,6]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[3,4,1,2,7,6,8,5]=>[4,3,2,1,8,6,7,5]=>[5,7,6,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[3,4,2,1,7,5,8,6]=>[4,3,2,1,8,6,7,5]=>[5,7,6,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[3,6,5,7,1,4,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,5,2,7,4,1,8,3]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,3,1,8,6,4,7,2]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[5,6,1,8,7,2,4,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[5,2,1,8,7,6,3,4]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[7,1,3,8,4,6,2,5]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,7,3,5,8,6,1,4]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[1,5,4,6,2,7,3,8]=>[1,7,5,4,3,6,2,8]=>[8,2,6,3,4,5,7,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[5,2,4,7,1,8,3,6]=>[7,5,3,8,2,6,1,4]=>[4,1,6,2,8,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[5,3,6,4,1,8,7,2]=>[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[5,3,6,1,4,8,2,7]=>[7,5,4,3,2,8,1,6]=>[6,1,8,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[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]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[2,6,1,5,8,4,7,3]=>[3,8,1,6,7,4,5,2]=>[2,5,4,7,6,1,8,3]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[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]=>[5,6,7,8,1,3,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]
[3,1,4,2,7,8,6,5]=>[4,2,3,1,8,7,6,5]=>[5,6,7,8,1,3,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]
[5,1,4,7,2,8,6,3]=>[8,2,5,7,3,6,4,1]=>[1,4,6,3,7,5,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[3,6,4,7,8,2,5,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,3,4,5,7,1,8,2]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[2,5,4,6,1,7,8,3]=>[5,8,3,4,1,6,7,2]=>[2,7,6,1,4,3,8,5]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]
[7,2,1,4,3,6,5,8]=>[7,3,2,5,4,6,1,8]=>[8,1,6,4,5,2,3,7]=>[[.,[[[.,[.,.]],[.,.]],[.,.]]],.]
[7,3,4,1,2,6,5,8]=>[7,5,4,3,2,6,1,8]=>[8,1,6,2,3,4,5,7]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[7,4,3,2,1,6,5,8]=>[7,5,4,3,2,6,1,8]=>[8,1,6,2,3,4,5,7]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[7,6,3,2,5,4,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,7,3,2,5,4,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,3,5,1,6,2,4,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,2,1,5,6,3,4,8]=>[7,3,2,6,5,4,1,8]=>[8,1,4,5,6,2,3,7]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[7,2,1,6,5,4,3,8]=>[7,3,2,6,5,4,1,8]=>[8,1,4,5,6,2,3,7]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[7,3,6,1,5,4,2,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,4,6,5,1,3,2,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,8,6,4,3,7,2,5]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,5,7,4,3,1,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,4,7,5,1,3,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,3,7,1,5,4,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,2,1,8,5,4,7,6]=>[3,2,1,8,6,5,7,4]=>[4,7,5,6,8,1,2,3]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[2,4,8,5,1,3,7,6]=>[5,6,8,4,1,2,7,3]=>[3,7,2,1,4,8,6,5]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]
[2,5,8,4,3,1,7,6]=>[6,5,8,4,2,1,7,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[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]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,7,5,6,3,4,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[2,4,8,6,1,7,3,5]=>[5,7,8,6,1,4,2,3]=>[3,2,4,1,6,8,7,5]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]]
[3,2,1,8,6,7,4,5]=>[3,2,1,8,7,6,5,4]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[5,2,1,7,6,8,4,3]=>[8,3,2,7,5,6,4,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[5,3,7,1,6,8,4,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,4,7,6,1,8,3,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,5,6,7,2,3,4]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,3,6,1,7,8,2,4]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[5,2,1,6,7,8,3,4]=>[8,3,2,7,5,6,4,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[6,3,5,1,7,2,8,4]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[6,4,5,7,1,2,8,3]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,5,4,7,2,1,8,3]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,6,4,7,2,8,1,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[1,8,4,6,2,7,3,5]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,3,2,6,8,4,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,6,3,2,7,8,1,4]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[6,5,3,2,7,1,8,4]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[6,4,3,2,1,7,8,5]=>[8,5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[5,2,1,4,3,8,7,6]=>[5,3,2,4,1,8,7,6]=>[6,7,8,1,4,2,3,5]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]
[5,3,4,1,2,8,7,6]=>[5,4,3,2,1,8,7,6]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[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]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[4,7,1,2,8,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[3,4,5,8,1,2,7,6]=>[6,5,3,8,2,1,7,4]=>[4,7,1,2,8,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[4,3,5,1,8,2,7,6]=>[6,4,3,2,8,1,7,5]=>[5,7,1,8,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[4,2,1,6,8,7,3,5]=>[7,3,2,8,6,5,1,4]=>[4,1,5,6,8,2,3,7]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]
[4,3,6,1,8,7,2,5]=>[7,4,8,2,6,5,1,3]=>[3,1,5,6,2,8,4,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[3,4,6,8,1,7,2,5]=>[7,5,8,6,2,4,1,3]=>[3,1,4,2,6,8,5,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[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]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,6,7,5,4,2,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[4,2,1,7,8,6,5,3]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[2,3,8,1,7,6,5,4]=>[4,2,8,1,7,6,5,3]=>[3,5,6,7,1,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[2,4,8,7,1,6,5,3]=>[5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[2,5,8,7,6,1,4,3]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[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]=>[9,10,11,12,7,8,5,6,3,4,1,2]=>[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,[.,[.,.]]]]
[2,1,4,3,6,5,10,9,8,7,12,11]=>[2,1,4,3,6,5,10,9,8,7,12,11]=>[11,12,7,8,9,10,5,6,3,4,1,2]=>[[[[[.,[.,.]],[.,.]],[.,.]],[.,[.,[.,.]]]],[.,.]]
[2,1,4,3,6,5,12,11,10,9,8,7]=>[2,1,4,3,6,5,12,11,10,9,8,7]=>[7,8,9,10,11,12,5,6,3,4,1,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[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]=>[9,10,11,12,5,6,7,8,3,4,1,2]=>[[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[2,1,4,3,10,9,8,7,6,5,12,11]=>[2,1,4,3,10,9,8,7,6,5,12,11]=>[11,12,5,6,7,8,9,10,3,4,1,2]=>[[[[.,[.,.]],[.,.]],[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[2,1,4,3,12,11,8,7,10,9,6,5]=>[2,1,4,3,12,11,10,9,8,7,6,5]=>[5,6,7,8,9,10,11,12,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,1,4,3,12,11,10,9,8,7,6,5]=>[2,1,4,3,12,11,10,9,8,7,6,5]=>[5,6,7,8,9,10,11,12,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,1,6,5,4,3,8,7,10,9,12,11]=>[2,1,6,5,4,3,8,7,10,9,12,11]=>[11,12,9,10,7,8,3,4,5,6,1,2]=>[[[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]],[.,.]],[.,.]]
[2,1,6,5,4,3,8,7,12,11,10,9]=>[2,1,6,5,4,3,8,7,12,11,10,9]=>[9,10,11,12,7,8,3,4,5,6,1,2]=>[[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]],[.,[.,[.,.]]]]
[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]=>[7,8,9,10,11,12,3,4,5,6,1,2]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,8,7,6,5,4,3,10,9,12,11]=>[2,1,8,7,6,5,4,3,10,9,12,11]=>[11,12,9,10,3,4,5,6,7,8,1,2]=>[[[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]],[.,.]],[.,.]]
[2,1,8,7,6,5,4,3,12,11,10,9]=>[2,1,8,7,6,5,4,3,12,11,10,9]=>[9,10,11,12,3,4,5,6,7,8,1,2]=>[[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]]
[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]=>[3,4,5,6,7,8,9,10,11,12,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[2,1,12,11,6,5,10,9,8,7,4,3]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[3,4,5,6,7,8,9,10,11,12,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[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]=>[3,4,5,6,7,8,9,10,11,12,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[2,1,12,11,10,7,6,9,8,5,4,3]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[3,4,5,6,7,8,9,10,11,12,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[3,4,5,6,7,8,9,10,11,12,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[4,3,2,1,6,5,8,7,10,9,12,11]=>[4,3,2,1,6,5,8,7,10,9,12,11]=>[11,12,9,10,7,8,5,6,1,2,3,4]=>[[[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]],[.,.]],[.,.]]
[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]=>[11,12,7,8,9,10,5,6,1,2,3,4]=>[[[[.,[.,[.,[.,.]]]],[.,.]],[.,[.,[.,.]]]],[.,.]]
[4,3,2,1,6,5,12,11,10,9,8,7]=>[4,3,2,1,6,5,12,11,10,9,8,7]=>[7,8,9,10,11,12,5,6,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[4,3,2,1,8,7,6,5,10,9,12,11]=>[4,3,2,1,8,7,6,5,10,9,12,11]=>[11,12,9,10,5,6,7,8,1,2,3,4]=>[[[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]],[.,.]],[.,.]]
[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]=>[11,12,5,6,7,8,9,10,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[4,3,2,1,12,11,8,7,10,9,6,5]=>[4,3,2,1,12,11,10,9,8,7,6,5]=>[5,6,7,8,9,10,11,12,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,3,2,1,12,11,10,9,8,7,6,5]=>[4,3,2,1,12,11,10,9,8,7,6,5]=>[5,6,7,8,9,10,11,12,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,5,4,3,2,1,8,7,10,9,12,11]=>[6,5,4,3,2,1,8,7,10,9,12,11]=>[11,12,9,10,7,8,1,2,3,4,5,6]=>[[[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]],[.,.]],[.,.]]
[6,5,4,3,2,1,8,7,12,11,10,9]=>[6,5,4,3,2,1,8,7,12,11,10,9]=>[9,10,11,12,7,8,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]],[.,[.,[.,.]]]]
[6,5,4,3,2,1,10,9,8,7,12,11]=>[6,5,4,3,2,1,10,9,8,7,12,11]=>[11,12,7,8,9,10,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]],[.,.]]
[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]=>[11,12,9,10,1,2,3,4,5,6,7,8]=>[[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]],[.,.]]
[8,7,4,3,6,5,2,1,12,11,10,9]=>[8,7,6,5,4,3,2,1,12,11,10,9]=>[9,10,11,12,1,2,3,4,5,6,7,8]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,[.,[.,.]]]]
[10,9,4,3,6,5,8,7,2,1,12,11]=>[10,9,8,7,6,5,4,3,2,1,12,11]=>[11,12,1,2,3,4,5,6,7,8,9,10]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],[.,.]]
[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]=>[11,12,1,2,3,4,5,6,7,8,9,10]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],[.,.]]
[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]=>[11,12,9,10,1,2,3,4,5,6,7,8]=>[[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]],[.,.]]
[8,7,6,5,4,3,2,1,12,11,10,9]=>[8,7,6,5,4,3,2,1,12,11,10,9]=>[9,10,11,12,1,2,3,4,5,6,7,8]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,[.,[.,.]]]]
[10,9,6,5,4,3,8,7,2,1,12,11]=>[10,9,8,7,6,5,4,3,2,1,12,11]=>[11,12,1,2,3,4,5,6,7,8,9,10]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],[.,.]]
[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]=>[11,12,1,2,3,4,5,6,7,8,9,10]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],[.,.]]
[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]=>[11,12,1,2,3,4,5,6,7,8,9,10]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],[.,.]]
[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]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[1,4,6,2,7,5,8,3]=>[1,8,6,4,5,3,7,2]=>[2,7,3,5,4,6,8,1]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[1,7,5,2,6,8,4,3]=>[1,8,7,4,5,6,3,2]=>[2,3,6,5,4,7,8,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[7,5,2,1,6,8,4,3]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[4,7,5,6,1,8,3,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[5,3,2,1,7,6,8,4]=>[8,4,3,2,6,5,7,1]=>[1,7,5,6,2,3,4,8]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[2,8,4,1,6,7,5,3]=>[4,8,7,1,6,5,3,2]=>[2,3,5,6,1,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[2,7,5,1,6,8,4,3]=>[4,8,7,1,5,6,3,2]=>[2,3,6,5,1,7,8,4]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[2,4,6,1,7,5,8,3]=>[4,8,6,1,5,3,7,2]=>[2,7,3,5,1,6,8,4]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[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]=>[1,7,2,5,4,3,6,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[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]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[5,3,1,2,7,6,8,4]=>[8,4,3,2,6,5,7,1]=>[1,7,5,6,2,3,4,8]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[4,3,1,2,7,6,8,5]=>[4,3,2,1,8,6,7,5]=>[5,7,6,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[6,7,1,5,8,2,3,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,7,6,1,5,8,3,4]=>[4,8,7,1,5,6,3,2]=>[2,3,6,5,1,7,8,4]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[7,6,1,5,8,3,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,6,7,1,5,8,2,4]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[7,1,6,5,8,2,4,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,5,1,6,8,4,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,4,1,6,7,5,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,2,3,1,7,6,8,4]=>[8,4,3,2,6,5,7,1]=>[1,7,5,6,2,3,4,8]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[1,7,6,2,5,8,3,4]=>[1,8,7,4,5,6,3,2]=>[2,3,6,5,4,7,8,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[7,6,2,1,5,8,3,4]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[8,3,1,5,7,6,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,2,4,1,7,5,8,3]=>[8,4,6,2,5,3,7,1]=>[1,7,3,5,2,6,4,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[6,2,5,1,7,4,8,3]=>[8,4,6,2,5,3,7,1]=>[1,7,3,5,2,6,4,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[7,1,6,4,8,2,5,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,5,2,3,7,6,8,4]=>[1,8,3,4,6,5,7,2]=>[2,7,5,6,4,3,8,1]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[5,7,6,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[1,4,2,3,7,6,8,5]=>[1,4,3,2,8,6,7,5]=>[5,7,6,8,2,3,4,1]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[2,4,1,3,7,6,8,5]=>[3,4,1,2,8,6,7,5]=>[5,7,6,8,2,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]
[2,8,3,5,7,6,1,4]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,1,2,3,7,6,8,4]=>[8,2,3,4,6,5,7,1]=>[1,7,5,6,4,3,2,8]=>[.,[[[[[.,.],.],.],[.,.]],[.,.]]]
[3,1,2,4,7,6,8,5]=>[3,2,1,4,8,6,7,5]=>[5,7,6,8,4,1,2,3]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]
[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]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[8,1,2,4,3,6,5,7]=>[8,2,3,5,4,7,6,1]=>[1,6,7,4,5,3,2,8]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[8,1,3,5,6,2,7,4]=>[8,2,6,7,5,3,4,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[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]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[7,3,1,4,2,6,8,5]=>[8,5,3,4,2,6,7,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]
[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]=>[4,1,2,5,8,3,6,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[2,3,6,7,4,5,8,1]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[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]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[6,2,4,1,3,7,5,8]=>[7,4,5,2,3,6,1,8]=>[8,1,6,3,2,5,4,7]=>[[.,[[[.,.],[[.,.],.]],[.,.]]],.]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,2,5,1,7,3,4,8]=>[7,4,6,2,5,3,1,8]=>[8,1,3,5,2,6,4,7]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[6,5,2,1,8,3,4,7]=>[7,6,4,3,8,2,1,5]=>[5,1,2,8,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[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]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[4,2,6,7,3,1,5,8]=>[6,5,7,4,2,1,3,8]=>[8,3,1,2,4,7,5,6]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[4,7,8,2,3,1,5,6]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[4,7,8,3,2,1,6,5]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[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]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[4,2,5,3,7,1,6,8]=>[6,4,3,2,7,1,5,8]=>[8,5,1,7,2,3,4,6]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[4,3,6,7,2,1,8,5]=>[6,5,8,4,2,1,7,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[3,4,6,7,2,8,1,5]=>[7,5,8,4,2,6,1,3]=>[3,1,6,2,4,8,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[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]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[4,7,1,8,6,5,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,7,1,2,8,6,5,3]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,8,1,3,6,5,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[4,2,7,1,8,6,5,3]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[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]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,6,8,3,4,7,5,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,2,4,8,1,7,5,3]=>[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[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]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,7,3,5,4,6,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,6,8,4,3,7,5,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,7,4,5,3,6,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,7,3,4,5,6,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[7,8,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,5,4,2,1,7,6,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,5,4,2,1,3,8,7]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[6,5,4,2,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[6,3,2,5,1,4,8,7]=>[6,5,3,4,2,1,8,7]=>[7,8,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]
[6,5,4,3,1,2,8,7]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[6,5,4,1,3,2,8,7]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[8,5,4,1,2,7,6,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,5,4,3,1,7,6,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[3,4,6,5,7,8,1,2]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,5,4,1,3,7,2,6]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,1,8,7,6,4,3,5]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,8,7,6,4,5,3]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[8,3,2,7,6,4,5,1]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,3,1,7,6,4,5,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,3,1,7,6,5,4,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,3,1,7,6,2,5,4]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[3,4,6,5,7,8,1,2]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[8,3,2,7,6,5,1,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[2,1,8,7,6,3,5,4]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[8,3,2,7,6,1,4,5]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[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]=>[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[1,6,5,2,7,4,3,8]=>[1,7,6,4,5,3,2,8]=>[8,2,3,5,4,6,7,1]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[7,4,3,1,8,6,5,2]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[7,6,5,1,8,4,3,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,6,4,1,8,5,3,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,4,2,1,8,7,5,3]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[1,6,4,2,7,5,3,8]=>[1,7,6,4,5,3,2,8]=>[8,2,3,5,4,6,7,1]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[5,3,2,1,8,7,6,4]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[2,5,3,1,7,8,6,4]=>[4,8,3,1,7,6,5,2]=>[2,5,6,7,1,3,8,4]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[2,6,4,1,7,8,5,3]=>[4,8,7,1,5,6,3,2]=>[2,3,6,5,1,7,8,4]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[2,6,5,1,7,8,4,3]=>[4,8,7,1,5,6,3,2]=>[2,3,6,5,1,7,8,4]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[4,5,7,1,6,8,2,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,3,1,2,8,6,5,7]=>[4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[6,1,2,5,8,3,4,7]=>[7,2,3,6,8,4,1,5]=>[5,1,4,8,6,3,2,7]=>[[.,[[[.,.],.],.]],[[.,[.,.]],.]]
[7,1,3,4,8,2,5,6]=>[8,2,6,4,7,3,5,1]=>[1,5,3,7,4,6,2,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[7,1,5,6,8,2,3,4]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,6,1,5,7,8,3,4]=>[3,8,1,7,5,6,4,2]=>[2,4,6,5,7,1,8,3]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[7,4,1,6,8,5,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,2,3,1,8,6,7,4]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[3,5,2,1,6,8,7,4]=>[4,8,3,1,5,7,6,2]=>[2,6,7,5,1,3,8,4]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]
[6,2,1,5,8,7,3,4]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[7,3,1,5,8,6,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,2,4,1,8,5,7,3]=>[8,4,6,2,7,3,5,1]=>[1,5,3,7,2,6,4,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[6,2,5,1,8,4,7,3]=>[8,4,6,2,7,3,5,1]=>[1,5,3,7,2,6,4,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[7,3,1,4,8,6,2,5]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[6,2,1,4,8,7,3,5]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[5,2,1,3,8,7,4,6]=>[7,3,2,4,8,6,1,5]=>[5,1,6,8,4,2,3,7]=>[[.,[[.,[.,.]],.]],[.,[[.,.],.]]]
[7,4,1,3,8,5,2,6]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[7,5,1,3,8,4,2,6]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,6,7,1,4,8,2,5]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[7,6,1,4,8,3,2,5]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,2,1,3,8,7,5,6]=>[4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[2,6,1,4,7,8,3,5]=>[3,8,1,7,5,6,4,2]=>[2,4,6,5,7,1,8,3]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[7,1,4,6,8,2,3,5]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,1,3,5,8,2,4,6]=>[8,2,6,7,5,3,4,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[6,1,2,4,8,3,5,7]=>[7,2,3,6,8,4,1,5]=>[5,1,4,8,6,3,2,7]=>[[.,[[[.,.],.],.]],[[.,[.,.]],.]]
[7,4,5,2,3,1,8,6]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,6,7,3,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,3,5,2,4,1,8,6]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,3,5,2,4,1,8,7]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[4,1,6,3,5,2,8,7]=>[6,2,5,4,3,1,8,7]=>[7,8,1,3,4,5,2,6]=>[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]
[6,3,4,1,5,2,8,7]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[5,2,6,3,4,1,8,7]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[5,2,7,3,4,1,8,6]=>[6,5,8,4,2,1,7,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[5,2,8,6,7,3,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,2,8,5,7,3,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,2,7,3,4,1,8,5]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,3,4,1,5,2,8,6]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[4,1,7,3,5,2,8,6]=>[6,2,8,4,5,1,7,3]=>[3,7,1,5,4,8,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[3,1,7,4,5,2,8,6]=>[6,2,8,4,5,1,7,3]=>[3,7,1,5,4,8,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[2,1,7,4,5,3,8,6]=>[2,1,8,6,5,4,7,3]=>[3,7,4,5,6,8,1,2]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[3,1,8,6,7,4,5,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,1,8,6,7,3,5,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,6,7,3,4,1,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,7,3,4,1,6,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,6,2,7,3,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,7,3,5,1,6,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,1,8,4,7,3,6,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,1,8,5,7,3,6,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,1,8,5,7,4,6,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,1,8,5,7,4,6,3]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,7,4,6,3,8,5]=>[2,1,8,6,5,4,7,3]=>[3,7,4,5,6,8,1,2]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[3,1,7,4,6,2,8,5]=>[6,2,8,4,5,1,7,3]=>[3,7,1,5,4,8,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[4,1,7,3,6,2,8,5]=>[6,2,8,4,5,1,7,3]=>[3,7,1,5,4,8,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[5,1,7,3,6,2,8,4]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[6,2,7,3,5,1,8,4]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,2,8,4,7,3,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,7,3,6,2,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,3,6,2,5,1,8,4]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,2,5,1,7,3,8,4]=>[8,4,6,2,5,3,7,1]=>[1,7,3,5,2,6,4,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[5,2,4,1,7,3,8,6]=>[6,4,3,2,8,1,7,5]=>[5,7,1,8,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[6,2,4,1,7,3,8,5]=>[8,4,6,2,5,3,7,1]=>[1,7,3,5,2,6,4,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[8,5,7,3,6,2,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,7,4,6,2,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,4,6,2,3,1,8,5]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,2,3,1,7,4,8,5]=>[8,4,3,2,6,5,7,1]=>[1,7,5,6,2,3,4,8]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[5,2,3,1,7,4,8,6]=>[6,4,3,2,8,1,7,5]=>[5,7,1,8,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[4,2,3,1,7,5,8,6]=>[4,3,2,1,8,6,7,5]=>[5,7,6,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[3,1,4,2,8,6,7,5]=>[4,2,3,1,8,7,6,5]=>[5,6,7,8,1,3,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]
[6,2,3,1,8,5,7,4]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[8,5,6,2,3,1,7,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,4,8,5,6,2,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,3,8,5,6,2,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,6,2,4,1,7,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,2,4,1,8,6,7,3]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[4,1,5,2,8,6,7,3]=>[8,2,4,3,7,6,5,1]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[3,1,5,2,8,6,7,4]=>[4,2,8,1,7,6,5,3]=>[3,5,6,7,1,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[3,1,6,2,8,5,7,4]=>[4,2,8,1,7,6,5,3]=>[3,5,6,7,1,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[4,1,6,2,8,5,7,3]=>[8,2,6,4,7,3,5,1]=>[1,5,3,7,4,6,2,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[5,1,6,2,8,4,7,3]=>[8,2,6,4,7,3,5,1]=>[1,5,3,7,4,6,2,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[8,4,6,2,5,1,7,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,3,8,4,6,2,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,2,7,3,8,4,5,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,4,5,1,6,2,7,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,1,8,4,6,2,7,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,1,8,5,6,2,7,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,1,8,5,6,2,7,4]=>[6,2,8,7,5,1,4,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[2,1,8,5,6,3,7,4]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,7,4,8,5,6,3]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[3,1,7,4,8,5,6,2]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[4,1,7,3,8,5,6,2]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,3,8,4,5,1,6,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,5,1,7,3,6,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,3,6,2,8,4,5,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,8,5,6,1,3,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,1,3,6,2,5,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,3,8,4,7,2,5,6]=>[1,6,8,4,7,2,5,3]=>[3,5,2,7,4,8,6,1]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[3,6,1,4,7,2,5,8]=>[6,7,3,4,5,1,2,8]=>[8,2,1,5,4,3,7,6]=>[[[.,.],[[[.,.],.],[[.,.],.]]],.]
[4,6,1,2,5,7,3,8]=>[7,5,3,4,2,6,1,8]=>[8,1,6,2,4,3,5,7]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[1,4,8,2,5,7,3,6]=>[1,7,8,4,5,6,2,3]=>[3,2,6,5,4,8,7,1]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]
[7,8,2,4,5,6,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,1,5,4,6,3,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,8,2,1,6,3,4,5]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[7,8,3,5,6,4,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,1,4,2,3,6,5]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,8,5,1,4,2,6,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,8,4,5,3,1,6,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,6,1,4,3,2,7,8]=>[6,5,3,4,2,1,7,8]=>[8,7,1,2,4,3,5,6]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[2,6,4,8,3,7,1,5]=>[7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[1,4,6,8,3,7,5,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,4,8,5,3,1,6,7]=>[6,5,8,4,2,1,7,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[2,5,8,1,4,7,6,3]=>[4,8,7,1,5,6,3,2]=>[2,3,6,5,1,7,8,4]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[3,5,8,4,7,6,1,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,6,2,4,7,3,8,5]=>[1,8,3,6,5,4,7,2]=>[2,7,4,5,6,3,8,1]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[5,6,2,1,4,7,8,3]=>[8,5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[4,6,2,5,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[4,7,5,1,3,6,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,5,3,6,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,7,3,6,1,4,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,3,6,7,2,1,8,4]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,1,7,5,2,4,8,3]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[1,4,7,2,5,3,8,6]=>[1,6,8,4,5,2,7,3]=>[3,7,2,5,4,8,6,1]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]
[4,6,7,8,3,5,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,6,1,8,4,2,5,7]=>[6,7,3,8,5,1,2,4]=>[4,2,1,5,8,3,7,6]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]
[1,6,7,5,8,2,4,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,5,6,7,8,1,4,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,6,5,7,8,2,1,4]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[5,2,7,6,1,4,3,8]=>[7,5,6,4,2,3,1,8]=>[8,1,3,2,4,6,5,7]=>[[.,[[.,.],[.,[[.,.],[.,.]]]]],.]
[2,7,5,6,8,4,1,3]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[2,1,6,8,4,5,3,7]=>[2,1,7,8,6,5,3,4]=>[4,3,5,6,8,7,1,2]=>[[[.,[.,.]],.],[.,[.,[[.,.],.]]]]
[2,7,1,8,5,3,4,6]=>[3,8,1,7,6,5,4,2]=>[2,4,5,6,7,1,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[3,7,6,8,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,3,8,5,6,7,1,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,2,8,1,6,3,7,5]=>[6,4,8,2,7,1,5,3]=>[3,5,1,7,2,8,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[3,1,8,5,4,6,7,2]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[3,2,8,4,5,6,1,7]=>[7,2,8,4,5,6,1,3]=>[3,1,6,5,4,8,2,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[3,4,2,8,6,1,7,5]=>[6,3,2,8,7,1,5,4]=>[4,5,1,7,8,2,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]
[3,4,7,1,5,2,6,8]=>[6,4,7,2,5,1,3,8]=>[8,3,1,5,2,7,4,6]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[4,3,7,8,1,2,6,5]=>[6,5,8,7,2,1,4,3]=>[3,4,1,2,7,8,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]
[1,7,3,8,5,2,6,4]=>[1,8,6,7,5,3,4,2]=>[2,4,3,5,7,6,8,1]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[4,1,8,3,6,2,5,7]=>[6,2,8,4,7,1,5,3]=>[3,5,1,7,4,8,2,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[5,7,8,6,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,7,8,6,1,3,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,5,8,1,3,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,6,4,3,8,2,5,7]=>[1,7,6,4,8,3,2,5]=>[5,2,3,8,4,6,7,1]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]
[7,1,3,4,8,2,6,5]=>[8,2,6,4,7,3,5,1]=>[1,5,3,7,4,6,2,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[3,6,5,4,1,2,7,8]=>[6,5,4,3,2,1,7,8]=>[8,7,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[2,4,5,1,7,8,6,3]=>[4,8,3,1,7,6,5,2]=>[2,5,6,7,1,3,8,4]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[2,6,3,4,5,8,1,7]=>[7,5,3,4,2,8,1,6]=>[6,1,8,2,4,3,5,7]=>[[.,[.,[[.,.],[.,.]]]],[[.,.],.]]
[2,6,4,1,8,3,7,5]=>[4,8,6,1,7,3,5,2]=>[2,5,3,7,1,6,8,4]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[7,3,6,4,8,5,1,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,2,1,4,8,3,5,6]=>[8,3,2,6,7,4,5,1]=>[1,5,4,7,6,2,3,8]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]
[7,1,6,5,3,8,4,2]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[7,2,5,6,3,8,1,4]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,5,2,7,1,8,4,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,6,2,7,3,1,4,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,6,7,4,2,8,1,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,7,6,4,1,8,3,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,7,1,5,2,8,3,4]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[1,7,5,2,4,8,3,6]=>[1,8,7,4,5,6,3,2]=>[2,3,6,5,4,7,8,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[6,1,5,2,8,3,4,7]=>[7,2,6,4,8,3,1,5]=>[5,1,3,8,4,6,2,7]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]
[6,7,5,3,8,4,1,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,6,5,4,2,3,8,7]=>[1,6,5,4,3,2,8,7]=>[7,8,2,3,4,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]
[7,1,5,3,4,2,8,6]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[7,6,1,5,3,2,8,4]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[7,5,6,4,1,2,8,3]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,7,5,4,3,1,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,5,2,4,3,1,6,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,4,6,1,2,5,3,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,1,4,2,5,3,6,8]=>[7,2,6,4,5,3,1,8]=>[8,1,3,5,4,6,2,7]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[6,8,1,4,2,5,7,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,6,4,2,5,7,3,8]=>[1,7,5,4,3,6,2,8]=>[8,2,6,3,4,5,7,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[1,6,3,7,5,4,2,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[6,8,1,3,7,5,4,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,3,1,6,4,5,2,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[7,4,2,6,5,1,3,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,4,6,3,1,5,2,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,2,4,1,5,3,6,8]=>[7,4,6,2,5,3,1,8]=>[8,1,3,5,2,6,4,7]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[7,2,3,5,4,1,6,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[6,8,1,2,3,4,7,5]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[1,5,7,2,3,8,6,4]=>[1,8,7,4,5,6,3,2]=>[2,3,6,5,4,7,8,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[5,1,8,2,3,6,7,4]=>[8,2,7,4,5,6,3,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[5,8,2,3,7,6,4,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,2,8,1,3,7,4,5]=>[8,4,7,2,5,6,3,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[6,8,2,3,5,4,7,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,8,2,4,1,5,7,3]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[6,8,3,1,2,4,7,5]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,6,4,1,5,7,3,8]=>[4,7,5,1,3,6,2,8]=>[8,2,6,3,1,5,7,4]=>[[[.,.],[[.,[[.,.],.]],[.,.]]],.]
[2,6,3,5,7,1,4,8]=>[6,7,3,4,5,1,2,8]=>[8,2,1,5,4,3,7,6]=>[[[.,.],[[[.,.],.],[[.,.],.]]],.]
[2,5,1,7,8,3,6,4]=>[3,8,1,7,6,5,4,2]=>[2,4,5,6,7,1,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[2,5,3,6,8,4,7,1]=>[8,6,3,4,7,2,5,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[2,1,4,7,8,5,6,3]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,4,7,6,8,5,1,3]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[2,5,3,7,6,1,8,4]=>[6,8,3,5,4,1,7,2]=>[2,7,1,4,5,3,8,6]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[2,5,7,8,1,4,6,3]=>[5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[3,5,7,4,1,6,2,8]=>[7,5,6,4,2,3,1,8]=>[8,1,3,2,4,6,5,7]=>[[.,[[.,.],[.,[[.,.],[.,.]]]]],.]
[5,3,4,1,8,6,7,2]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[5,2,8,4,6,1,7,3]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[5,2,1,8,6,3,7,4]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[4,2,8,6,5,3,7,1]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[4,2,8,5,7,6,3,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,4,2,7,5,8,6,3]=>[1,8,3,7,5,6,4,2]=>[2,4,6,5,7,3,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[4,1,8,6,7,5,3,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,3,8,7,6,2,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,4,7,6,2,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,7,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,4,8,3,1,7,2,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,4,2,8,7,1,3,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,3,8,7,2,5,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,3,7,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,1,3,8,6,7,2,4]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,5,3,7,8,6,2,4]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,8,7,4,1,6,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,4,8,1,2,7,3,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,8,5,1,2,3,7,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,8,5,2,4,3,7,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,5,3,1,2,7,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,5,6,1,8,4,7,2]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[3,5,7,1,2,8,6,4]=>[5,8,7,4,1,6,3,2]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[4,2,6,1,7,3,5,8]=>[6,4,7,2,5,1,3,8]=>[8,3,1,5,2,7,4,6]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[4,2,5,7,1,6,3,8]=>[7,5,3,6,2,4,1,8]=>[8,1,4,2,6,3,5,7]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[3,5,2,7,8,1,6,4]=>[6,8,3,7,5,1,4,2]=>[2,4,1,5,7,3,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[3,1,4,7,5,6,2,8]=>[7,2,3,6,5,4,1,8]=>[8,1,4,5,6,3,2,7]=>[[.,[[[.,.],.],[.,[.,[.,.]]]]],.]
[3,4,6,5,8,7,1,2]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[3,1,4,5,8,6,7,2]=>[8,2,3,4,7,6,5,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[3,4,6,8,5,2,7,1]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[3,5,6,2,8,4,7,1]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[2,1,7,5,8,6,4,3]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[1,2,7,5,3,8,6,4]=>[1,2,8,7,5,6,4,3]=>[3,4,6,5,7,8,2,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[4,1,2,7,3,8,6,5]=>[5,2,3,8,1,7,6,4]=>[4,6,7,1,8,3,2,5]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]
[6,4,1,7,5,2,3,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[1,3,7,2,4,8,6,5]=>[1,4,8,2,5,7,6,3]=>[3,6,7,5,2,8,4,1]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]
[2,4,1,7,8,6,5,3]=>[3,8,1,7,6,5,4,2]=>[2,4,5,6,7,1,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[3,4,7,5,1,8,6,2]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[2,7,4,1,5,8,6,3]=>[4,8,7,1,5,6,3,2]=>[2,3,6,5,1,7,8,4]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[2,3,7,1,5,8,6,4]=>[4,2,8,1,7,6,5,3]=>[3,5,6,7,1,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[5,2,8,1,3,7,4,6]=>[7,4,8,2,5,6,1,3]=>[3,1,6,5,2,8,4,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[2,1,6,8,3,4,7,5]=>[2,1,8,7,5,6,4,3]=>[3,4,6,5,7,8,1,2]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[2,6,8,3,1,5,7,4]=>[5,8,7,4,1,6,3,2]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[2,8,6,4,1,5,7,3]=>[5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[3,6,4,8,5,1,7,2]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[6,3,7,4,5,1,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[2,6,3,7,5,8,1,4]=>[7,8,3,5,4,6,1,2]=>[2,1,6,4,5,3,8,7]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[5,2,1,7,8,3,4,6]=>[7,3,2,8,6,5,1,4]=>[4,1,5,6,8,2,3,7]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]
[4,7,2,3,6,8,1,5]=>[7,8,4,3,5,6,1,2]=>[2,1,6,5,3,4,8,7]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]
[5,2,7,3,6,8,1,4]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,7,4,6,2,8,1,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,7,3,4,6,1,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,3,8,4,6,1,7,2]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[8,5,2,4,1,6,7,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,2,3,5,1,6,7,4]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[4,2,8,3,6,7,1,5]=>[7,4,8,2,6,5,1,3]=>[3,1,5,6,2,8,4,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[2,4,8,1,7,3,5,6]=>[4,6,8,1,7,2,5,3]=>[3,5,2,7,1,8,6,4]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[8,4,1,3,6,2,5,7]=>[8,6,3,4,7,2,5,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[4,8,3,1,7,2,5,6]=>[6,8,4,3,7,1,5,2]=>[2,5,1,7,3,4,8,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[5,2,8,4,7,1,6,3]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[5,8,4,7,3,1,6,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,6,8,3,1,7,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,3,8,2,7,1,5,4]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[6,3,1,8,2,4,7,5]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[5,3,8,1,2,6,4,7]=>[7,5,8,4,2,6,1,3]=>[3,1,6,2,4,8,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[5,7,4,1,6,2,3,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,5,4,1,2,6,3,7]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,1,8,4,2,7,3,6]=>[7,2,8,5,4,6,1,3]=>[3,1,6,4,5,8,2,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[1,6,2,8,5,3,7,4]=>[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[6,8,5,3,1,7,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,5,1,2,6,3,7]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,6,3,7,1,2,4,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,6,3,7,2,8,4,5]=>[1,8,5,7,3,6,4,2]=>[2,4,6,3,7,5,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[6,3,2,7,8,5,1,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,5,7,8,3,1,6,2]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[4,7,2,5,8,1,6,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,1,3,4,6,2,5,7]=>[8,2,6,4,7,3,5,1]=>[1,5,3,7,4,6,2,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[3,8,2,4,6,7,1,5]=>[7,8,3,4,6,5,1,2]=>[2,1,5,6,4,3,8,7]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]
[3,5,6,8,2,7,1,4]=>[7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[2,4,5,6,8,1,7,3]=>[6,8,3,4,7,1,5,2]=>[2,5,1,7,4,3,8,6]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[4,8,3,5,6,1,7,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,6,2,3,7,8,1,4]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[5,8,7,3,4,1,2,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[6,8,7,3,4,1,2,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,4,7,1,5,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,4,7,2,5,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,4,8,7,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,4,8,7,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,3,8,7,6,1,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,3,8,7,6,1,2,5]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[4,8,3,7,5,1,2,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[8,3,4,6,5,1,2,7]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,8,4,7,5,1,2,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[3,4,8,7,6,1,2,5]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[3,5,8,7,6,1,2,4]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[4,5,8,7,6,1,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,5,8,7,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,5,8,7,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,5,8,2,7,6,4,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,5,8,1,7,6,4,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,5,8,1,7,6,4,3]=>[4,8,7,1,6,5,3,2]=>[2,3,5,6,1,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[2,5,8,7,1,6,3,4]=>[5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[2,4,8,7,1,6,3,5]=>[5,7,8,6,1,4,2,3]=>[3,2,4,1,6,8,7,5]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]]
[2,8,4,7,1,5,3,6]=>[5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[8,2,4,6,1,5,3,7]=>[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[8,1,4,6,2,5,3,7]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,8,4,7,2,5,3,6]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,4,8,7,2,6,3,5]=>[1,7,8,6,5,4,2,3]=>[3,2,4,5,6,8,7,1]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[1,5,8,7,2,6,3,4]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,5,8,2,7,6,4,3]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[2,5,8,3,7,6,4,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,4,2,8,7,6,5,3]=>[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,3,8,2,7,6,4,5]=>[1,4,8,2,7,6,5,3]=>[3,5,6,7,2,8,4,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[8,1,3,2,6,5,4,7]=>[8,2,4,3,7,6,5,1]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[8,2,3,1,6,5,4,7]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[2,8,3,1,7,5,4,6]=>[4,8,3,1,7,6,5,2]=>[2,5,6,7,1,3,8,4]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[2,3,8,1,7,6,4,5]=>[4,2,8,1,7,6,5,3]=>[3,5,6,7,1,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[3,4,1,8,7,6,5,2]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[4,3,1,8,7,6,5,2]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[4,2,1,8,7,6,5,3]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[3,8,2,1,7,5,4,6]=>[4,8,3,1,7,6,5,2]=>[2,5,6,7,1,3,8,4]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[8,3,2,1,6,5,4,7]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[8,4,2,6,1,5,3,7]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[4,2,8,7,1,6,3,5]=>[7,5,8,6,2,4,1,3]=>[3,1,4,2,6,8,5,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[5,2,8,7,1,6,3,4]=>[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[5,2,8,1,7,6,4,3]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[5,3,8,1,7,6,4,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,3,8,2,7,6,4,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,8,3,2,7,5,4,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,8,3,1,7,5,4,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,8,2,1,7,5,4,3]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[6,8,2,7,1,5,3,4]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[6,8,7,2,1,4,3,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,6,1,2,4,3,7]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,8,7,1,2,4,3,6]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[6,8,1,2,7,5,4,3]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[6,8,2,3,7,5,4,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,2,8,3,7,6,4,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,1,8,3,7,6,4,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,1,8,7,2,6,3,4]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,1,8,7,2,6,3,5]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[4,8,1,7,2,5,3,6]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[8,4,1,6,2,5,3,7]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,3,1,2,6,5,4,7]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[3,8,1,2,7,5,4,6]=>[4,8,3,1,7,6,5,2]=>[2,5,6,7,1,3,8,4]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[3,1,8,2,7,6,4,5]=>[4,2,8,1,7,6,5,3]=>[3,5,6,7,1,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[3,1,2,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[4,1,3,8,7,6,5,2]=>[8,2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[3,1,4,8,7,6,5,2]=>[8,2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[8,2,1,3,6,5,4,7]=>[8,3,2,4,7,6,5,1]=>[1,5,6,7,4,2,3,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[8,1,2,3,6,5,4,7]=>[8,2,3,4,7,6,5,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[1,8,2,3,7,5,4,6]=>[1,8,3,4,7,6,5,2]=>[2,5,6,7,4,3,8,1]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[1,2,8,3,7,6,4,5]=>[1,2,8,4,7,6,5,3]=>[3,5,6,7,4,8,2,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[1,4,3,6,8,2,5,7]=>[1,6,3,7,8,2,4,5]=>[5,4,2,8,7,3,6,1]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]
[3,5,1,8,2,4,7,6]=>[5,6,3,8,1,2,7,4]=>[4,7,2,1,8,3,6,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[1,4,5,2,8,3,7,6]=>[1,6,4,3,8,2,7,5]=>[5,7,2,8,3,4,6,1]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[1,4,2,6,5,8,3,7]=>[1,7,3,5,4,8,2,6]=>[6,2,8,4,5,3,7,1]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]
[3,1,6,5,8,2,4,7]=>[6,2,7,4,8,1,3,5]=>[5,3,1,8,4,7,2,6]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]
[1,5,2,6,4,8,3,7]=>[1,7,3,5,4,8,2,6]=>[6,2,8,4,5,3,7,1]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]
[1,2,6,5,4,8,3,7]=>[1,2,7,5,4,8,3,6]=>[6,3,8,4,5,7,2,1]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]
[1,2,5,4,7,3,8,6]=>[1,2,6,4,8,3,7,5]=>[5,7,3,8,4,6,2,1]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]
[4,1,2,6,3,8,7,5]=>[5,2,3,8,1,7,6,4]=>[4,6,7,1,8,3,2,5]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]
[7,1,5,4,2,8,3,6]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[7,1,3,5,2,8,4,6]=>[8,2,5,7,3,6,4,1]=>[1,4,6,3,7,5,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[7,2,5,1,8,3,4,6]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[1,4,5,2,8,7,3,6]=>[1,7,4,3,8,6,2,5]=>[5,2,6,8,3,4,7,1]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]
[1,4,2,8,3,7,6,5]=>[1,5,3,8,2,7,6,4]=>[4,6,7,2,8,3,5,1]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[1,2,5,3,8,7,6,4]=>[1,2,8,4,7,6,5,3]=>[3,5,6,7,4,8,2,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[1,2,8,6,5,3,7,4]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,5,2,8,6,3,7,4]=>[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,6,4,2,8,7,3,5]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[6,2,1,8,7,3,4,5]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[7,6,2,1,8,3,4,5]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[7,3,1,6,2,8,4,5]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[1,7,6,4,2,8,3,5]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,7,5,2,6,3,8,4]=>[1,8,6,4,5,3,7,2]=>[2,7,3,5,4,6,8,1]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[1,6,2,7,5,3,8,4]=>[1,8,3,6,5,4,7,2]=>[2,7,4,5,6,3,8,1]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[1,2,6,5,3,8,7,4]=>[1,2,8,5,4,7,6,3]=>[3,6,7,4,5,8,2,1]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]
[1,5,2,7,6,3,8,4]=>[1,8,3,6,5,4,7,2]=>[2,7,4,5,6,3,8,1]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[1,6,5,2,7,3,8,4]=>[1,8,6,4,5,3,7,2]=>[2,7,3,5,4,6,8,1]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[3,1,8,6,2,4,7,5]=>[5,2,8,7,1,6,4,3]=>[3,4,6,1,7,8,2,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[4,3,7,1,8,2,5,6]=>[6,4,8,2,7,1,5,3]=>[3,5,1,7,2,8,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[8,3,1,6,2,4,7,5]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[7,1,8,3,2,4,6,5]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[1,8,7,3,2,4,6,5]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[8,1,5,4,2,7,3,6]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[8,5,3,1,7,2,4,6]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,6,2,1,7,3,4,5]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[1,8,6,4,2,7,3,5]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,5,2,6,3,7,4]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,5,2,7,3,8,6,4]=>[1,8,3,7,5,6,4,2]=>[2,4,6,5,7,3,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,2,8,5,3,7,6,4]=>[1,2,8,7,5,6,4,3]=>[3,4,6,5,7,8,2,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[1,2,6,3,8,7,5,4]=>[1,2,8,4,7,6,5,3]=>[3,5,6,7,4,8,2,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[1,2,7,6,3,8,5,4]=>[1,2,8,7,5,6,4,3]=>[3,4,6,5,7,8,2,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[1,6,2,7,3,8,5,4]=>[1,8,3,7,5,6,4,2]=>[2,4,6,5,7,3,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,7,2,8,5,3,6,4]=>[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,7,4,2,8,6,3,5]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[7,1,8,3,2,6,4,5]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[7,2,1,8,6,3,4,5]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[1,8,7,3,2,6,4,5]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,2,8,7,5,3,6,4]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,2,8,6,3,7,5,4]=>[1,2,8,7,5,6,4,3]=>[3,4,6,5,7,8,2,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[1,2,7,3,8,6,5,4]=>[1,2,8,4,7,6,5,3]=>[3,5,6,7,4,8,2,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[4,1,7,3,6,5,8,2]=>[8,2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[5,1,8,7,6,2,4,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,7,6,3,4,5,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,7,8,6,2,4,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,7,1,6,2,4,3,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[6,4,1,5,2,7,3,8]=>[7,5,3,4,2,6,1,8]=>[8,1,6,2,4,3,5,7]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[8,1,4,5,3,7,6,2]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[6,1,4,5,3,7,8,2]=>[8,2,5,4,3,6,7,1]=>[1,7,6,3,4,5,2,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[5,1,7,8,6,2,4,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,1,4,8,3,5,7,2]=>[8,2,6,7,5,3,4,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[7,1,8,6,3,4,5,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,1,4,5,3,8,6,2]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[7,1,4,5,3,6,8,2]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[8,1,4,5,3,6,7,2]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[7,4,1,5,2,6,3,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[6,3,5,7,2,1,4,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,3,5,8,2,1,7,4]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[6,3,5,7,2,1,8,4]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,4,5,7,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,4,5,8,3,7,2,1]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[5,8,7,6,2,4,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,4,8,6,3,1,7,2]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[5,4,1,8,2,3,7,6]=>[6,5,3,8,2,1,7,4]=>[4,7,1,2,8,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[5,8,1,6,2,4,3,7]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[8,4,1,5,2,6,3,7]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[6,3,5,8,2,1,4,7]=>[7,6,5,8,3,2,1,4]=>[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[2,3,4,1,8,6,5,7]=>[4,2,3,1,8,7,6,5]=>[5,6,7,8,1,3,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]
[8,3,5,6,2,1,4,7]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[2,3,8,6,1,5,7,4]=>[5,2,8,7,1,6,4,3]=>[3,4,6,1,7,8,2,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[2,8,6,7,1,3,5,4]=>[5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[8,3,5,7,2,1,6,4]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[2,3,8,5,6,1,7,4]=>[6,2,8,7,5,1,4,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[7,4,5,6,3,1,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,4,5,6,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,3,5,6,2,8,1,4]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,3,5,8,2,1,6,4]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[7,3,5,6,2,1,4,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[2,7,6,8,1,3,5,4]=>[5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[2,7,6,5,8,3,1,4]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[8,7,5,6,1,4,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,6,4,1,8,5,7,3]=>[4,8,6,1,7,3,5,2]=>[2,5,3,7,1,6,8,4]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[2,7,6,8,4,3,1,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[2,7,6,1,8,3,4,5]=>[4,8,7,1,6,5,3,2]=>[2,3,5,6,1,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[2,7,6,1,4,3,5,8]=>[4,7,6,1,5,3,2,8]=>[8,2,3,5,1,6,7,4]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[7,3,5,1,2,8,4,6]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[8,4,1,5,2,3,7,6]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[7,8,1,6,3,4,2,5]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,4,1,8,3,2,7,5]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[2,3,8,6,4,1,7,5]=>[6,2,8,7,5,1,4,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[2,8,6,7,4,3,1,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[8,3,5,7,2,4,1,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,3,4,1,8,7,5,6]=>[4,2,3,1,8,7,6,5]=>[5,6,7,8,1,3,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]
[2,8,6,1,7,3,4,5]=>[4,8,7,1,6,5,3,2]=>[2,3,5,6,1,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[2,3,8,1,6,4,7,5]=>[4,2,8,1,7,6,5,3]=>[3,5,6,7,1,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[2,3,8,1,4,5,7,6]=>[4,2,8,1,5,6,7,3]=>[3,7,6,5,1,8,2,4]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]
[2,8,6,1,4,3,5,7]=>[4,8,7,1,6,5,3,2]=>[2,3,5,6,1,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,2,3,4,5,6,7,9,8]=>[1,2,3,4,5,6,7,9,8]=>[8,9,7,6,5,4,3,2,1]=>[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]
[2,1,3,4,5,6,7,8,9]=>[2,1,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,1,2]=>[[[[[[[[.,[.,.]],.],.],.],.],.],.],.]
[1,2,3,4,5,6,7,8,10,9]=>[1,2,3,4,5,6,7,8,10,9]=>[9,10,8,7,6,5,4,3,2,1]=>[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]]
[2,1,3,4,5,6,7,8,9,10]=>[2,1,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,1,2]=>[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.]
[1,2,3,4,5,6,7,8,9,11,10]=>[1,2,3,4,5,6,7,8,9,11,10]=>[10,11,9,8,7,6,5,4,3,2,1]=>[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],[.,.]]
[9,1,2,3,4,5,6,7,10,8]=>[10,2,3,4,5,6,7,8,9,1]=>[1,9,8,7,6,5,4,3,2,10]=>[.,[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]]
[1,8,2,3,4,5,6,9,7]=>[1,9,3,4,5,6,7,8,2]=>[2,8,7,6,5,4,3,9,1]=>[[.,.],[[[[[[.,.],.],.],.],.],[.,.]]]
[2,1,3,4,5,6,7,8,9,10,11]=>[2,1,3,4,5,6,7,8,9,10,11]=>[11,10,9,8,7,6,5,4,3,1,2]=>[[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.],.]
[8,4,3,6,5,1,7,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,6,3,4,1,7,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,5,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,7,6,5,4,2,3,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[1,8,6,5,2,7,3,4]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,7,5,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,5,4,1,3,6,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,5,4,2,1,7,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,6,2,4,1,7,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,2,6,5,1,7,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,2,8,6,5,1,7,4]=>[6,2,8,7,5,1,4,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[3,2,1,7,6,4,5,8]=>[3,2,1,7,6,5,4,8]=>[8,4,5,6,7,1,2,3]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[4,1,3,7,6,2,5,8]=>[6,2,3,7,5,1,4,8]=>[8,4,1,5,7,3,2,6]=>[[[.,[[.,.],.]],[.,[[.,.],.]]],.]
[8,1,6,5,2,3,7,4]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,2,7,6,3,4,5,8]=>[1,2,7,6,5,4,3,8]=>[8,3,4,5,6,7,2,1]=>[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]
[1,2,8,3,7,4,5,6]=>[1,2,8,4,7,6,5,3]=>[3,5,6,7,4,8,2,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[8,1,7,2,6,3,5,4]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,1,8,2,6,4,3,5]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,1,8,2,4,7,3,5]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[5,1,8,3,2,7,4,6]=>[7,2,8,5,4,6,1,3]=>[3,1,6,4,5,8,2,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[4,1,3,8,2,7,5,6]=>[5,2,3,8,1,7,6,4]=>[4,6,7,1,8,3,2,5]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]
[3,2,1,8,4,7,5,6]=>[3,2,1,8,5,7,6,4]=>[4,6,7,5,8,1,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[3,2,8,7,1,6,5,4]=>[5,2,8,7,1,6,4,3]=>[3,4,6,1,7,8,2,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[4,8,2,7,1,6,5,3]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[5,8,7,2,1,6,4,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,7,1,3,5,4,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,8,6,1,5,3,4,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,7,6,1,5,4,3,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,8,7,2,6,5,3,4]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,7,8,2,5,6,3,4]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[8,6,7,1,4,5,3,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,6,8,1,4,3,5,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,5,8,3,2,1,7,4]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[7,5,8,3,1,4,6,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,7,3,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,6,8,4,2,7,3,5]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,5,4,8,2,7,3,6]=>[1,7,5,8,3,6,2,4]=>[4,2,6,3,8,5,7,1]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[8,4,3,7,1,6,5,2]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[7,4,3,8,1,5,6,2]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[6,4,3,1,5,2,7,8]=>[6,5,4,3,2,1,7,8]=>[8,7,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[7,4,3,1,2,6,5,8]=>[7,5,4,3,2,6,1,8]=>[8,1,6,2,3,4,5,7]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[8,4,3,1,2,5,7,6]=>[8,5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[1,5,4,2,3,6,7,8]=>[1,5,4,3,2,6,7,8]=>[8,7,6,2,3,4,5,1]=>[[[[[.,.],[.,[.,[.,.]]]],.],.],.]
[8,5,1,4,2,3,7,6]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[7,5,1,4,2,6,3,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[6,5,1,4,3,2,7,8]=>[6,5,3,4,2,1,7,8]=>[8,7,1,2,4,3,5,6]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[5,6,1,3,4,2,7,8]=>[6,5,3,4,2,1,7,8]=>[8,7,1,2,4,3,5,6]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[4,6,2,1,5,3,7,8]=>[6,5,4,3,2,1,7,8]=>[8,7,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[3,2,6,1,5,4,7,8]=>[4,2,6,1,5,3,7,8]=>[8,7,3,5,1,6,2,4]=>[[[[.,[.,.]],[[.,.],[.,.]]],.],.]
[3,2,7,1,4,6,5,8]=>[4,2,7,1,5,6,3,8]=>[8,3,6,5,1,7,2,4]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]
[5,7,1,3,2,6,4,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[6,7,1,2,4,5,3,8]=>[7,6,3,4,5,2,1,8]=>[8,1,2,5,4,3,6,7]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[7,6,1,2,5,4,3,8]=>[7,6,3,4,5,2,1,8]=>[8,1,2,5,4,3,6,7]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[8,6,1,2,5,3,7,4]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[8,7,1,2,3,6,5,4]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[7,8,1,2,3,5,6,4]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[6,8,1,2,4,3,7,5]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[5,8,1,3,2,4,7,6]=>[6,8,3,5,4,1,7,2]=>[2,7,1,4,5,3,8,6]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[4,8,2,1,3,5,7,6]=>[5,8,4,3,1,6,7,2]=>[2,7,6,1,3,4,8,5]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[3,2,8,1,4,5,7,6]=>[4,2,8,1,5,6,7,3]=>[3,7,6,5,1,8,2,4]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]
[4,1,3,2,5,6,7,8]=>[4,2,3,1,5,6,7,8]=>[8,7,6,5,1,3,2,4]=>[[[[[.,[[.,.],[.,.]]],.],.],.],.]
[5,1,2,4,3,6,7,8]=>[5,2,3,4,1,6,7,8]=>[8,7,6,1,4,3,2,5]=>[[[[.,[[[.,.],.],[.,.]]],.],.],.]
[7,1,2,3,4,6,5,8]=>[7,2,3,4,5,6,1,8]=>[8,1,6,5,4,3,2,7]=>[[.,[[[[[.,.],.],.],.],[.,.]]],.]
[8,1,2,3,4,5,7,6]=>[8,2,3,4,5,6,7,1]=>[1,7,6,5,4,3,2,8]=>[.,[[[[[[.,.],.],.],.],.],[.,.]]]
[6,7,3,8,5,1,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,4,5,1,8,3,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,4,7,6,8,1,2,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,3,7,8,6,1,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,8,4,5,7,1,2,6]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[3,4,8,6,7,1,2,5]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[4,5,6,7,1,8,3,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,5,6,2,7,4,8,1]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[3,5,6,1,7,8,4,2]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[2,5,6,1,8,7,4,3]=>[4,8,7,1,6,5,3,2]=>[2,3,5,6,1,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[2,5,6,8,1,7,3,4]=>[5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[8,2,4,5,1,6,3,7]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[1,4,8,6,2,3,7,5]=>[1,6,8,7,5,2,4,3]=>[3,4,2,5,7,8,6,1]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]
[1,5,6,8,2,3,7,4]=>[1,8,6,7,5,3,4,2]=>[2,4,3,5,7,6,8,1]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[2,5,6,3,4,7,8,1]=>[8,5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[1,4,2,6,8,5,7,3]=>[1,8,3,6,7,4,5,2]=>[2,5,4,7,6,3,8,1]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[8,2,3,1,5,6,4,7]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[2,8,3,1,5,7,4,6]=>[4,8,3,1,7,6,5,2]=>[2,5,6,7,1,3,8,4]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[2,4,1,6,8,7,5,3]=>[3,8,1,7,6,5,4,2]=>[2,4,5,6,7,1,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[3,4,1,6,7,8,5,2]=>[8,3,2,7,5,6,4,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[4,3,1,7,6,8,5,2]=>[8,3,2,7,5,6,4,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[5,2,7,8,1,6,3,4]=>[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[5,3,7,2,6,4,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,7,3,1,5,8,4,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,7,2,1,8,5,4,3]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[6,7,2,8,1,5,3,4]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[6,7,8,2,1,4,3,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,1,2,8,4,5,3]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[6,7,1,3,4,8,5,2]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[5,2,7,3,4,6,8,1]=>[8,5,6,4,2,3,7,1]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[5,1,7,3,4,8,6,2]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[5,1,7,8,2,3,6,4]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,1,8,7,2,3,6,5]=>[6,2,8,7,5,1,4,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[3,8,1,2,7,4,5,6]=>[4,8,3,1,7,6,5,2]=>[2,5,6,7,1,3,8,4]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[4,1,3,7,5,8,6,2]=>[8,2,3,7,5,6,4,1]=>[1,4,6,5,7,3,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[3,1,4,5,7,8,6,2]=>[8,2,3,4,7,6,5,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[2,1,8,3,4,7,6,5]=>[2,1,8,4,5,7,6,3]=>[3,6,7,5,4,8,1,2]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]
[1,8,2,3,4,5,7,6]=>[1,8,3,4,5,6,7,2]=>[2,7,6,5,4,3,8,1]=>[[.,.],[[[[[.,.],.],.],.],[.,.]]]
[4,2,1,6,5,8,7,3]=>[8,3,2,5,4,7,6,1]=>[1,6,7,4,5,2,3,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[5,2,6,1,4,8,7,3]=>[8,4,5,2,3,7,6,1]=>[1,6,7,3,2,5,4,8]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[5,2,6,4,1,8,7,3]=>[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[5,2,7,4,8,1,6,3]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[5,2,7,4,8,6,1,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,7,2,3,8,6,1,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,7,2,3,8,1,6,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,6,2,3,1,8,7,4]=>[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[5,6,2,1,3,8,7,4]=>[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[5,6,3,1,2,8,7,4]=>[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[5,6,3,2,1,8,7,4]=>[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[5,7,3,2,8,1,6,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,7,3,2,8,6,1,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,7,3,8,2,1,5,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,3,8,1,2,5,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,7,3,1,8,2,6,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,7,1,3,8,2,6,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,1,7,4,8,2,6,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,5,7,4,8,3,6,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,5,7,4,8,6,3,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,1,7,4,8,6,2,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,7,1,3,8,6,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,7,3,1,8,6,2,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,7,3,8,1,5,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,3,8,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,8,3,1,4,2,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,1,8,3,5,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,1,7,8,4,5,2,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,6,7,8,4,5,3,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,6,7,8,4,3,5,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,1,7,8,4,2,5,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,7,1,8,3,2,5,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,7,2,1,8,3,6,4]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[6,7,2,8,1,3,5,4]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[6,7,2,8,3,1,5,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,2,8,3,5,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,2,7,8,4,5,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,2,7,8,4,1,5,3]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[6,2,7,8,1,4,5,3]=>[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[5,2,7,1,8,4,6,3]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[4,2,1,7,8,5,6,3]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[4,1,2,7,8,6,5,3]=>[8,2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[6,2,7,8,1,5,4,3]=>[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[6,2,7,8,5,1,4,3]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[6,2,7,8,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,2,8,5,3,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,7,2,1,8,6,3,4]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[5,7,1,2,8,6,3,4]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[5,1,7,2,8,6,4,3]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[1,5,7,3,8,6,4,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,6,7,8,3,5,4,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,1,7,8,2,5,4,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,7,1,8,2,5,3,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,7,8,2,4,1,3,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,8,2,4,3,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,1,8,5,2,3,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,1,7,8,5,2,4,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,6,7,8,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,1,7,8,5,4,2,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,7,1,8,5,3,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,7,8,4,1,3,2,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,3,8,5,2,7,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,5,2,8,4,7,3,1]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[6,3,4,5,8,7,2,1]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[3,8,4,7,5,2,1,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[5,8,1,4,7,2,3,6]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[5,6,1,4,8,7,3,2]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[3,6,4,8,5,7,1,2]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[5,1,4,8,6,3,7,2]=>[8,2,6,7,5,3,4,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[3,4,7,1,8,6,5,2]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,3,8,4,2,7,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,6,8,7,1,4,2,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[5,3,7,1,6,8,2,4]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,3,8,5,6,7,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,8,1,7,6,2,4,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,6,1,2,7,8,5,3]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[3,6,4,2,8,7,5,1]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[6,3,7,5,2,8,1,4]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,5,2,7,4,8,1,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,7,1,4,8,3,2,6]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[7,8,3,5,1,4,6,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,1,4,6,7,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,5,8,4,3,7,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,3,7,4,2,8,5,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,7,1,6,2,4,5,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,8,6,7,1,4,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,3,8,7,4,1,2,6]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[4,3,8,7,1,5,6,2]=>[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[8,3,6,1,2,5,7,4]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[5,6,1,8,7,3,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,4,2,7,3,6,8,1]=>[8,5,3,6,2,4,7,1]=>[1,7,4,2,6,3,5,8]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[7,5,3,6,4,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,4,1,5,3,8,2,7]=>[7,5,3,4,2,8,1,6]=>[6,1,8,2,4,3,5,7]=>[[.,[.,[[.,.],[.,.]]]],[[.,.],.]]
[8,5,2,6,4,7,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,2,6,3,4,7,5,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,2,6,3,5,4,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,2,7,4,3,5,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,7,3,6,4,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,7,6,4,5,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[2,7,6,5,3,4,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,5,4,3,1,8,2,7]=>[7,5,4,3,2,8,1,6]=>[6,1,8,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[8,6,5,4,2,7,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,4,1,7,2,6,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,5,4,1,8,3,2,6]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,6,5,2,8,3,4,7]=>[1,7,6,4,8,3,2,5]=>[5,2,3,8,4,6,7,1]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]
[5,7,4,2,1,8,3,6]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[5,4,6,3,1,8,2,7]=>[7,5,4,3,2,8,1,6]=>[6,1,8,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[6,5,8,4,2,7,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,2,6,4,7,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,8,6,2,5,7,4,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,8,5,3,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,3,1,7,2,5,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,8,6,3,7,5,2,4]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,7,5,2,6,4,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,1,6,2,5,4,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,8,1,6,3,2,5,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,8,1,7,3,5,6,4]=>[3,8,1,7,5,6,4,2]=>[2,4,6,5,7,1,8,3]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[3,8,6,1,7,4,5,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,8,1,3,7,2,6,5]=>[6,8,3,4,7,1,5,2]=>[2,5,1,7,4,3,8,6]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[4,2,8,5,7,3,6,1]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[5,1,7,6,8,3,2,4]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,7,1,5,8,4,2,6]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[6,7,3,1,8,4,2,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,7,3,8,4,5,2,6]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,7,2,8,5,3,4,6]=>[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[7,6,1,8,4,3,2,5]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,6,1,7,4,2,5,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,1,2,7,3,4,6,5]=>[8,2,3,7,5,6,4,1]=>[1,4,6,5,7,3,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[7,1,2,8,3,5,4,6]=>[8,2,3,7,5,6,4,1]=>[1,4,6,5,7,3,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[7,2,6,1,8,4,3,5]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,2,6,1,7,3,5,4]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,3,1,4,7,5,6,2]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[7,3,1,5,8,4,2,6]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,4,2,7,1,8,3,6]=>[7,5,3,8,2,6,1,4]=>[4,1,6,2,8,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[5,4,3,1,6,8,2,7]=>[7,4,3,2,5,8,1,6]=>[6,1,8,5,2,3,4,7]=>[[.,[[.,[.,[.,.]]],.]],[[.,.],.]]
[4,7,5,6,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,5,4,8,2,7,3,1]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[6,5,2,8,7,3,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,5,1,8,7,4,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,6,4,7,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,1,8,3,7,6,2,4]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,4,8,1,7,2,6,3]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[7,5,8,3,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,6,8,2,4,7,5,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,7,3,8,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,4,6,8,2,7,3,1]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[5,2,6,8,7,3,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,7,2,8,6,3,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,3,8,7,4,5,6,1]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,2,8,6,4,3,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,1,8,7,5,6,3,4]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[8,2,7,6,3,5,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,1,7,6,5,2,4,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,1,8,6,5,3,2,4]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,2,8,7,6,3,4,5]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,3,8,7,4,6,2,5]=>[1,7,8,6,5,4,2,3]=>[3,2,4,5,6,8,7,1]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[1,5,8,3,7,6,2,4]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,1,6,8,7,4,2,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,8,4,7,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,7,2,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,8,7,6,4,5,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,8,7,6,5,3,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,8,7,6,5,4,2,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,8,6,7,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,6,7,3,5,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,8,6,7,4,5,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,8,6,7,4,5,1,3]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[1,8,6,7,4,5,2,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,5,7,4,6,2,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,8,5,7,4,6,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,5,7,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,3,6,4,5,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,3,7,4,5,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,3,7,4,6,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,7,4,8,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,7,3,8,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,7,2,8,5,6,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,7,1,8,5,6,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,7,1,8,5,6,2,4]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[3,7,2,8,5,6,1,4]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[2,7,3,8,5,6,1,4]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[2,7,4,8,5,6,1,3]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[5,8,2,7,4,6,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,2,7,4,5,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,2,6,4,5,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,1,6,4,5,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,8,1,7,4,5,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,8,1,7,4,6,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,7,4,8,5,6,2,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,7,3,8,5,6,2,4]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,8,5,6,1,7,3,4]=>[5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[1,8,5,6,2,7,3,4]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,7,3,8,4,6,2,5]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,8,1,7,3,6,2,5]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[5,8,1,7,3,6,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,8,1,7,3,5,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,8,2,6,3,5,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,2,7,3,5,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,2,7,3,6,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,2,7,3,6,1,5]=>[7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[2,7,3,8,4,6,1,5]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[3,7,2,8,4,6,1,5]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[3,7,1,8,4,6,2,5]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[1,8,4,7,3,6,2,5]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,8,4,7,3,6,1,5]=>[7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[3,8,4,7,2,6,1,5]=>[7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[4,8,5,7,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,8,5,7,2,6,1,4]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[2,8,5,7,3,6,1,4]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[1,8,5,7,3,6,2,4]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,6,7,3,5,2,4]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,8,6,7,3,5,1,4]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[3,8,6,7,2,5,1,4]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[4,8,6,7,2,5,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,6,7,2,4,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,5,7,1,4,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,6,7,1,4,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,6,7,1,5,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,8,6,7,1,5,2,4]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[1,5,2,8,6,7,3,4]=>[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[2,5,1,8,6,7,3,4]=>[3,8,1,7,6,5,4,2]=>[2,4,5,6,7,1,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[2,6,1,8,5,7,3,4]=>[3,8,1,7,6,5,4,2]=>[2,4,5,6,7,1,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,6,2,8,5,7,3,4]=>[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[3,8,5,7,1,6,2,4]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[6,8,4,7,1,5,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,4,6,1,5,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,3,6,1,5,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,3,7,1,5,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,3,7,1,6,2,5]=>[7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[3,8,4,7,1,6,2,5]=>[7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[1,6,2,8,4,7,3,5]=>[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[2,6,1,8,4,7,3,5]=>[3,8,1,7,6,5,4,2]=>[2,4,5,6,7,1,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[3,7,2,6,1,8,4,5]=>[5,8,3,7,1,6,4,2]=>[2,4,6,1,7,3,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[3,7,1,6,2,8,4,5]=>[5,8,3,7,1,6,4,2]=>[2,4,6,1,7,3,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[4,8,1,6,2,7,3,5]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[5,8,1,6,2,7,3,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,8,1,5,2,6,3,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,8,2,5,1,6,3,4]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[6,8,2,5,1,7,3,4]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[5,8,2,6,1,7,3,4]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[4,8,2,6,1,7,3,5]=>[7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[1,7,3,6,2,8,4,5]=>[1,8,5,7,3,6,4,2]=>[2,4,6,3,7,5,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[2,7,3,6,1,8,4,5]=>[5,8,3,7,1,6,4,2]=>[2,4,6,1,7,3,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,2,1]=>[[[[[[[[[.,.],.],.],.],.],.],.],.],.]
[1,2,3,4,5,6,8,9,7]=>[1,2,3,4,5,6,9,8,7]=>[7,8,9,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],[.,[.,.]]]
[1,2,3,4,5,7,8,9,6]=>[1,2,3,4,5,9,7,8,6]=>[6,8,7,9,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],[[.,.],[.,.]]]
[1,2,3,4,6,7,8,9,5]=>[1,2,3,4,9,6,7,8,5]=>[5,8,7,6,9,4,3,2,1]=>[[[[[.,.],.],.],.],[[[.,.],.],[.,.]]]
[1,2,3,5,6,7,8,9,4]=>[1,2,3,9,5,6,7,8,4]=>[4,8,7,6,5,9,3,2,1]=>[[[[.,.],.],.],[[[[.,.],.],.],[.,.]]]
[1,2,4,5,6,7,8,9,3]=>[1,2,9,4,5,6,7,8,3]=>[3,8,7,6,5,4,9,2,1]=>[[[.,.],.],[[[[[.,.],.],.],.],[.,.]]]
[1,3,4,5,6,7,8,9,2]=>[1,9,3,4,5,6,7,8,2]=>[2,8,7,6,5,4,3,9,1]=>[[.,.],[[[[[[.,.],.],.],.],.],[.,.]]]
[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,2,1]=>[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.]
[1,2,3,4,5,6,9,8,7]=>[1,2,3,4,5,6,9,8,7]=>[7,8,9,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],[.,[.,.]]]
[1,2,3,4,5,6,7,9,10,8]=>[1,2,3,4,5,6,7,10,9,8]=>[8,9,10,7,6,5,4,3,2,1]=>[[[[[[[[.,.],.],.],.],.],.],.],[.,[.,.]]]
[1,2,3,4,5,8,7,9,6]=>[1,2,3,4,5,9,7,8,6]=>[6,8,7,9,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],[[.,.],[.,.]]]
[1,2,3,4,7,6,8,9,5]=>[1,2,3,4,9,6,7,8,5]=>[5,8,7,6,9,4,3,2,1]=>[[[[[.,.],.],.],.],[[[.,.],.],[.,.]]]
[1,2,3,6,5,7,8,9,4]=>[1,2,3,9,5,6,7,8,4]=>[4,8,7,6,5,9,3,2,1]=>[[[[.,.],.],.],[[[[.,.],.],.],[.,.]]]
[1,2,5,4,6,7,8,9,3]=>[1,2,9,4,5,6,7,8,3]=>[3,8,7,6,5,4,9,2,1]=>[[[.,.],.],[[[[[.,.],.],.],.],[.,.]]]
[1,4,3,5,6,7,8,9,2]=>[1,9,3,4,5,6,7,8,2]=>[2,8,7,6,5,4,3,9,1]=>[[.,.],[[[[[[.,.],.],.],.],.],[.,.]]]
[3,2,4,5,6,7,8,9,1]=>[9,2,3,4,5,6,7,8,1]=>[1,8,7,6,5,4,3,2,9]=>[.,[[[[[[[.,.],.],.],.],.],.],[.,.]]]
[6,7,4,8,3,5,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,4,5,2,8,1,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,7,4,6,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,7,4,6,3,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,7,4,8,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,4,5,3,7,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,4,6,3,7,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,6,4,8,3,7,1,2]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[5,6,3,7,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,6,3,7,2,8,1,4]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,6,3,8,2,7,1,4]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[5,6,4,8,2,7,1,3]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[5,8,4,6,2,7,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,4,5,2,7,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,4,5,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,4,5,2,3,1,7]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[5,8,4,6,2,3,1,7]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[5,6,4,8,2,3,1,7]=>[7,6,5,8,3,2,1,4]=>[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[5,6,3,8,2,4,1,7]=>[7,6,5,8,3,2,1,4]=>[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[5,6,3,4,2,8,1,7]=>[7,5,4,3,2,8,1,6]=>[6,1,8,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[4,6,3,5,2,7,1,8]=>[7,5,4,3,2,6,1,8]=>[8,1,6,2,3,4,5,7]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[4,6,3,5,2,8,1,7]=>[7,5,4,3,2,8,1,6]=>[6,1,8,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[4,6,3,8,2,5,1,7]=>[7,6,5,8,3,2,1,4]=>[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[4,8,3,6,2,5,1,7]=>[7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[5,8,3,6,2,4,1,7]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[6,8,3,5,2,4,1,7]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[7,8,3,5,2,4,1,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,3,5,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,3,6,2,7,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,3,6,2,7,1,5]=>[7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[4,6,3,8,2,7,1,5]=>[7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[4,6,3,7,2,8,1,5]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[4,7,3,6,2,5,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,7,3,6,2,8,1,5]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[4,7,3,8,2,6,1,5]=>[7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[5,7,4,8,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,7,3,6,2,8,1,4]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,7,3,6,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,7,3,5,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,7,3,5,2,8,1,4]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,7,4,8,2,5,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,5,8,2,4,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,5,7,2,3,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,4,8,2,3,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,3,8,2,4,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,3,4,2,8,1,5]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,7,3,4,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,7,3,4,2,8,1,6]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[5,7,4,8,2,3,1,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[5,8,4,7,2,3,1,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[6,8,4,7,2,3,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,4,6,2,3,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,3,6,2,4,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,3,7,2,4,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,3,7,2,4,1,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[4,8,3,7,2,5,1,6]=>[7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[4,7,3,8,2,5,1,6]=>[7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[4,7,3,5,2,8,1,6]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[4,7,3,5,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,5,3,7,2,6,1,8]=>[7,5,3,6,2,4,1,8]=>[8,1,4,2,6,3,5,7]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[4,5,3,7,2,8,1,6]=>[7,5,3,8,2,6,1,4]=>[4,1,6,2,8,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[4,5,3,8,2,7,1,6]=>[7,5,3,8,2,6,1,4]=>[4,1,6,2,8,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[4,8,3,5,2,7,1,6]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[5,8,3,4,2,7,1,6]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[6,8,3,4,2,7,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,3,4,2,6,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,3,4,2,5,1,7]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[5,8,3,4,2,6,1,7]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[4,8,3,5,2,6,1,7]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[4,5,3,8,2,6,1,7]=>[7,5,3,8,2,6,1,4]=>[4,1,6,2,8,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[4,5,3,6,2,8,1,7]=>[7,5,3,4,2,8,1,6]=>[6,1,8,2,4,3,5,7]=>[[.,[.,[[.,.],[.,.]]]],[[.,.],.]]
[4,7,5,2,1,8,3,6]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[4,8,5,2,1,7,6,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,6,5,2,1,3,8,7]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[5,6,4,2,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[6,4,5,3,1,2,8,7]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[5,4,6,1,3,2,8,7]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[4,6,8,1,7,3,2,5]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[4,7,8,1,6,3,5,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,4,8,1,6,5,3,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,4,8,1,3,7,6,2]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[8,4,5,3,1,7,6,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,4,7,1,3,8,2,6]=>[7,5,8,4,2,6,1,3]=>[3,1,6,2,4,8,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[6,4,8,1,7,5,2,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,6,8,7,2,1,3,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,7,6,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,6,3,7,2,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,3,2,8,7,4,1,5]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,1,6,8,7,4,3,5]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,7,8,6,4,5,3]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[7,3,2,8,6,4,5,1]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,6,8,5,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,7,8,6,2,3,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,7,6,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,7,5,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,4,2,3,7,6,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,8,4,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,7,2,6,3,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,6,2,7,3,1,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[3,6,1,8,7,4,2,5]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[3,7,1,8,6,4,5,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,8,1,6,7,5,2,4]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[3,7,1,6,8,2,5,4]=>[6,8,3,7,5,1,4,2]=>[2,4,1,5,7,3,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[4,7,6,2,8,1,3,5]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[6,7,4,2,8,1,5,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,8,4,2,7,5,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,1,8,6,7,5,3,4]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[8,3,2,6,7,5,1,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,6,4,3,7,5,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,6,7,3,1,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,5,8,1,3,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,5,8,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,5,7,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,4,3,8,1,5,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,3,2,6,8,1,5,4]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[2,1,7,6,8,3,5,4]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[7,5,6,8,1,4,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,5,7,8,1,2,4,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,1,3,7,4,6,5,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,2,8,7,4,6,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,6,2,5,4,7,3,8]=>[1,7,3,5,4,6,2,8]=>[8,2,6,4,5,3,7,1]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[6,2,7,5,4,8,3,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,1,3,5,4,7,6,2]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[6,1,8,3,4,5,7,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,1,5,3,4,8,6,2]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[7,1,4,3,5,6,8,2]=>[8,2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[8,1,3,4,5,6,7,2]=>[8,2,7,4,5,6,3,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[6,3,2,7,5,1,8,4]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[8,4,7,2,5,6,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,5,8,2,4,7,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,2,1,4,3,7,6]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[6,5,2,8,4,1,3,7]=>[7,6,5,8,3,2,1,4]=>[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[5,6,2,1,4,8,3,7]=>[7,5,4,3,2,8,1,6]=>[6,1,8,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[3,6,1,8,5,2,4,7]=>[6,7,3,8,5,1,2,4]=>[4,2,1,5,8,3,7,6]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]
[1,2,6,3,5,4,7,8]=>[1,2,6,4,5,3,7,8]=>[8,7,3,5,4,6,2,1]=>[[[[[.,.],.],[[.,.],[.,.]]],.],.]
[3,4,1,2,8,6,5,7]=>[4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[4,3,1,2,6,8,5,7]=>[4,3,2,1,7,8,5,6]=>[6,5,8,7,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],.],[[.,.],.]]
[5,8,1,6,3,2,4,7]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[6,3,8,5,2,1,4,7]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[8,3,1,5,2,4,7,6]=>[8,5,3,6,2,4,7,1]=>[1,7,4,2,6,3,5,8]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[3,8,2,6,1,5,7,4]=>[5,8,3,7,1,6,4,2]=>[2,4,6,1,7,3,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[3,8,6,7,2,1,5,4]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[8,5,6,4,2,1,7,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,2,5,8,3,1,6,4]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[1,7,5,6,3,2,4,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[6,1,2,3,8,5,7,4]=>[8,2,3,4,7,6,5,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[7,1,2,3,6,5,8,4]=>[8,2,3,4,6,5,7,1]=>[1,7,5,6,4,3,2,8]=>[.,[[[[[.,.],.],.],[.,.]],[.,.]]]
[7,2,1,3,8,6,4,5]=>[8,3,2,4,7,6,5,1]=>[1,5,6,7,4,2,3,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[5,2,7,3,1,8,4,6]=>[7,5,8,4,2,6,1,3]=>[3,1,6,2,4,8,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[5,8,2,4,1,3,7,6]=>[6,8,5,4,3,1,7,2]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[8,7,2,6,3,4,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,1,6,3,2,7,5]=>[6,8,3,7,5,1,4,2]=>[2,4,1,5,7,3,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[3,1,8,6,4,2,7,5]=>[6,2,8,7,5,1,4,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[8,1,6,7,4,3,2,5]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,5,8,7,2,4,1,6]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[4,2,1,3,7,8,5,6]=>[4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[2,4,1,3,8,7,5,6]=>[3,4,1,2,8,7,6,5]=>[5,6,7,8,2,1,4,3]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]
[2,5,8,3,1,7,4,6]=>[5,7,8,4,1,6,2,3]=>[3,2,6,1,4,8,7,5]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]
[8,6,1,3,7,2,4,5]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,8,2,3,4,1,5,7]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[8,9,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[8,7,9,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[8,7,6,9,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[8,7,6,5,9,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[8,7,6,5,4,3,2,9,1]=>[9,7,6,5,4,3,2,8,1]=>[1,8,2,3,4,5,6,7,9]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]]
[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[9,1,2,3,4,5,6,7,8]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[9,10,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[7,8,9,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,8,10,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,6,7,9,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,8,7,10,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,7,5,6,9,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,8,7,6,10,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,8,7,6,5,10,4,3,2,1]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[8,7,6,5,4,2,3,9,1]=>[9,7,6,5,4,3,2,8,1]=>[1,8,2,3,4,5,6,7,9]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]]
[8,7,6,5,4,3,1,2,9]=>[8,7,6,5,4,3,2,1,9]=>[9,1,2,3,4,5,6,7,8]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[9,8,7,6,5,4,3,2,10,1]=>[10,8,7,6,5,4,3,2,9,1]=>[1,9,2,3,4,5,6,7,8,10]=>[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]]
[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[10,1,2,3,4,5,6,7,8,9]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[1,7,3,8,5,2,4,6]=>[1,8,6,7,5,3,4,2]=>[2,4,3,5,7,6,8,1]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[4,2,5,7,8,6,1,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,2,3,1,8,5,6,4]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[8,2,5,1,7,3,4,6]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,2,1,8,3,4,7,5]=>[8,3,2,7,5,6,4,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[6,2,8,3,5,1,7,4]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[6,2,4,8,5,7,1,3]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[1,3,6,4,7,5,8,2]=>[1,8,6,4,5,3,7,2]=>[2,7,3,5,4,6,8,1]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[6,2,4,7,5,8,1,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,2,1,3,7,8,4,5]=>[8,3,2,4,7,6,5,1]=>[1,5,6,7,4,2,3,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[7,8,2,1,4,3,5,6]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[7,6,4,2,3,1,8,5]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,7,2,3,1,6,8,4]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,5,4,2,6,8,1,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,2,5,4,6,7,1,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,2,6,3,1,8,7,4]=>[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[8,2,6,4,3,1,7,5]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[8,2,7,4,1,3,5,6]=>[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[1,2,8,4,3,5,6,7]=>[1,2,8,5,4,6,7,3]=>[3,7,6,4,5,8,2,1]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]
[1,7,4,2,3,5,6,8]=>[1,7,5,4,3,6,2,8]=>[8,2,6,3,4,5,7,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[6,8,4,1,3,2,5,7]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[1,8,7,4,3,2,5,6]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,6,3,8,2,4,7,5]=>[1,8,5,7,3,6,4,2]=>[2,4,6,3,7,5,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[5,3,8,1,2,7,4,6]=>[7,5,8,4,2,6,1,3]=>[3,1,6,2,4,8,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[5,1,8,3,2,6,4,7]=>[7,2,8,5,4,6,1,3]=>[3,1,6,4,5,8,2,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[5,7,3,1,2,6,4,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,7,5,4,2,6,3,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[1,5,8,2,4,6,3,7]=>[1,7,8,4,5,6,2,3]=>[3,2,6,5,4,8,7,1]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]
[1,4,6,2,8,3,7,5]=>[1,6,8,4,7,2,5,3]=>[3,5,2,7,4,8,6,1]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[5,3,1,6,7,2,4,8]=>[7,6,3,4,5,2,1,8]=>[8,1,2,5,4,3,6,7]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[5,3,6,1,2,8,4,7]=>[7,5,4,3,2,8,1,6]=>[6,1,8,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[1,7,4,5,3,8,6,2]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[6,3,4,1,2,5,8,7]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[6,3,1,4,2,7,5,8]=>[7,5,3,4,2,6,1,8]=>[8,1,6,2,4,3,5,7]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[1,8,3,2,4,5,6,7]=>[1,8,4,3,5,6,7,2]=>[2,7,6,5,3,4,8,1]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]
[8,6,3,2,4,1,7,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,5,3,2,6,7,1,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,5,2,6,8,1,7,3]=>[8,6,3,4,7,2,5,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[4,2,5,6,7,8,1,3]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[5,2,3,6,7,1,8,4]=>[8,6,3,4,5,2,7,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[6,2,3,4,1,7,8,5]=>[8,5,3,4,2,6,7,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]
[8,6,1,4,3,2,5,7]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,3,1,6,5,2,4,7]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[4,1,5,2,8,7,3,6]=>[7,2,4,3,8,6,1,5]=>[5,1,6,8,3,4,2,7]=>[[.,[[.,.],[.,.]]],[.,[[.,.],.]]]
[8,1,2,4,6,5,3,7]=>[8,2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[8,1,2,5,4,6,3,7]=>[8,2,3,7,5,6,4,1]=>[1,4,6,5,7,3,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[8,2,6,5,1,3,4,7]=>[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[8,3,1,6,2,5,4,7]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[8,1,2,6,4,5,3,7]=>[8,2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[8,1,2,5,6,4,3,7]=>[8,2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[8,1,2,6,5,4,3,7]=>[8,2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[1,7,5,4,2,8,3,6]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[5,1,4,8,2,7,3,6]=>[7,2,5,8,3,6,1,4]=>[4,1,6,3,8,5,2,7]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[1,4,6,8,2,7,3,5]=>[1,7,8,6,5,4,2,3]=>[3,2,4,5,6,8,7,1]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[5,1,4,7,2,8,3,6]=>[7,2,5,8,3,6,1,4]=>[4,1,6,3,8,5,2,7]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[1,7,4,5,2,8,3,6]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[3,7,5,1,2,8,4,6]=>[5,8,7,4,1,6,3,2]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[5,7,2,8,1,3,4,6]=>[7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[5,2,8,7,1,3,4,6]=>[7,5,8,6,2,4,1,3]=>[3,1,4,2,6,8,5,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[4,1,5,8,2,7,3,6]=>[7,2,5,8,3,6,1,4]=>[4,1,6,3,8,5,2,7]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[3,1,2,6,4,8,7,5]=>[3,2,1,8,5,7,6,4]=>[4,6,7,5,8,1,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[2,1,7,6,3,4,8,5]=>[2,1,8,6,5,4,7,3]=>[3,7,4,5,6,8,1,2]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[3,1,2,7,4,6,8,5]=>[3,2,1,8,5,6,7,4]=>[4,7,6,5,8,1,2,3]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[1,4,7,2,6,8,3,5]=>[1,7,8,4,5,6,2,3]=>[3,2,6,5,4,8,7,1]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]
[1,2,3,6,8,5,7,4]=>[1,2,3,8,7,6,5,4]=>[4,5,6,7,8,3,2,1]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[5,1,4,2,7,8,3,6]=>[7,2,4,3,8,6,1,5]=>[5,1,6,8,3,4,2,7]=>[[.,[[.,.],[.,.]]],[.,[[.,.],.]]]
[1,4,2,7,6,8,3,5]=>[1,7,3,8,5,6,2,4]=>[4,2,6,5,8,3,7,1]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[3,1,2,8,4,6,7,5]=>[3,2,1,8,5,7,6,4]=>[4,6,7,5,8,1,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[3,1,2,7,6,4,8,5]=>[3,2,1,8,6,5,7,4]=>[4,7,5,6,8,1,2,3]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[1,7,4,3,2,5,8,6]=>[1,8,5,4,3,6,7,2]=>[2,7,6,3,4,5,8,1]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[4,8,7,2,1,3,5,6]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[1,8,7,3,4,2,5,6]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,1,7,8,2,6,4,5]=>[5,2,8,7,1,6,4,3]=>[3,4,6,1,7,8,2,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[5,2,8,1,3,4,7,6]=>[6,4,8,2,5,1,7,3]=>[3,7,1,5,2,8,4,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[2,1,8,6,3,4,7,5]=>[2,1,8,7,5,6,4,3]=>[3,4,6,5,7,8,1,2]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[1,2,3,7,8,5,6,4]=>[1,2,3,8,7,6,5,4]=>[4,5,6,7,8,3,2,1]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[1,2,3,7,5,8,6,4]=>[1,2,3,8,7,6,5,4]=>[4,5,6,7,8,3,2,1]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[1,4,2,7,3,8,6,5]=>[1,5,3,8,2,7,6,4]=>[4,6,7,2,8,3,5,1]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[3,1,7,2,8,6,4,5]=>[4,2,8,1,7,6,5,3]=>[3,5,6,7,1,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[2,1,7,8,3,4,6,5]=>[2,1,8,7,5,6,4,3]=>[3,4,6,5,7,8,1,2]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[1,2,3,8,7,5,6,4]=>[1,2,3,8,7,6,5,4]=>[4,5,6,7,8,3,2,1]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[10,1,2,3,4,5,6,7,8,9]=>[10,2,3,4,5,6,7,8,9,1]=>[1,9,8,7,6,5,4,3,2,10]=>[.,[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]]
[8,1,2,3,4,5,6,9,10,7]=>[10,2,3,4,5,6,7,8,9,1]=>[1,9,8,7,6,5,4,3,2,10]=>[.,[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]]
[4,7,8,5,6,2,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,7,8,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,8,4,2,5,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,3,7,2,1,5,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,3,8,2,1,5,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,8,3,2,1,5,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,7,8,3,2,1,6,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,7,8,4,3,5,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,7,8,4,2,5,1,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[4,7,8,3,2,1,5,6]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[5,7,8,3,2,1,4,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[7,6,3,8,2,1,4,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,3,7,2,1,4,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,6,3,8,2,1,4,7]=>[7,6,5,8,3,2,1,4]=>[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[3,6,4,8,2,5,1,7]=>[7,6,5,8,3,2,1,4]=>[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[2,6,4,8,3,5,7,1]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[2,6,4,7,3,5,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,6,4,7,2,5,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,6,3,7,2,1,5,8]=>[6,7,5,4,3,1,2,8]=>[8,2,1,3,4,5,7,6]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[5,6,3,7,2,1,4,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,4,3,2,1,6,5,7]=>[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[6,4,3,2,1,7,5,8]=>[7,5,4,3,2,6,1,8]=>[8,1,6,2,3,4,5,7]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[4,5,3,2,7,1,6,8]=>[6,4,3,2,7,1,5,8]=>[8,5,1,7,2,3,4,6]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[6,4,3,2,1,8,5,7]=>[7,5,4,3,2,8,1,6]=>[6,1,8,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[7,4,3,2,1,8,5,6]=>[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[8,4,3,2,1,7,5,6]=>[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[8,4,3,2,1,7,6,5]=>[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[7,4,3,2,1,8,6,5]=>[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[6,4,3,2,1,8,7,5]=>[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[5,6,3,8,2,1,7,4]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[7,5,3,2,8,1,6,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,5,4,2,7,6,1,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,5,4,2,8,6,1,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,5,4,2,8,7,1,3]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[4,6,5,8,7,2,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,6,5,7,8,3,4,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,5,4,2,7,8,1,3]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[8,5,4,2,6,7,1,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,5,3,2,6,1,7,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,5,3,2,6,1,8,4]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,6,3,7,2,1,8,4]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,6,3,7,2,1,8,5]=>[6,8,5,4,3,1,7,2]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[3,6,4,7,2,8,1,5]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[2,6,4,7,3,8,5,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,5,3,2,7,1,8,6]=>[6,4,3,2,8,1,7,5]=>[5,7,1,8,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[7,4,3,2,1,6,8,5]=>[8,5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[8,4,3,2,1,6,7,5]=>[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[8,4,3,2,1,5,7,6]=>[8,5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[7,4,3,2,1,5,8,6]=>[8,5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[6,4,3,2,1,5,8,7]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[3,5,4,2,6,8,1,7]=>[7,4,3,2,5,8,1,6]=>[6,1,8,5,2,3,4,7]=>[[.,[[.,[.,[.,.]]],.]],[[.,.],.]]
[5,6,3,4,1,2,8,7]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,5,8,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,1,7,8,5,6,3,4]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[6,8,3,7,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,7,3,8,1,6,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,2,6,4,8,5,1,7]=>[7,2,6,4,8,3,1,5]=>[5,1,3,8,4,6,2,7]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]
[3,2,5,8,4,6,1,7]=>[7,2,5,8,3,6,1,4]=>[4,1,6,3,8,5,2,7]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[3,5,2,4,1,7,6,8]=>[5,4,3,2,1,7,6,8]=>[8,6,7,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[4,5,2,3,7,1,6,8]=>[6,4,3,2,7,1,5,8]=>[8,5,1,7,2,3,4,6]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[4,2,5,3,8,1,6,7]=>[6,4,3,2,8,1,7,5]=>[5,7,1,8,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[4,2,5,8,3,1,6,7]=>[6,5,3,8,2,1,7,4]=>[4,7,1,2,8,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[3,1,5,4,2,8,6,7]=>[5,2,4,3,1,8,7,6]=>[6,7,8,1,3,4,2,5]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]
[4,3,8,5,2,1,6,7]=>[6,5,8,4,2,1,7,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[4,7,3,5,2,1,6,8]=>[6,7,5,4,3,1,2,8]=>[8,2,1,3,4,5,7,6]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[4,3,2,7,5,1,6,8]=>[6,3,2,7,5,1,4,8]=>[8,4,1,5,7,2,3,6]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[4,3,6,2,5,1,7,8]=>[6,4,5,2,3,1,7,8]=>[8,7,1,3,2,5,4,6]=>[[[.,[[.,.],[[.,.],[.,.]]]],.],.]
[4,6,3,2,5,1,7,8]=>[6,5,4,3,2,1,7,8]=>[8,7,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[4,6,7,1,3,2,5,8]=>[6,7,5,4,3,1,2,8]=>[8,2,1,3,4,5,7,6]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[4,5,1,7,3,2,6,8]=>[6,5,3,7,2,1,4,8]=>[8,4,1,2,7,3,5,6]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[4,5,1,3,7,2,6,8]=>[6,4,3,2,7,1,5,8]=>[8,5,1,7,2,3,4,6]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[3,5,1,4,2,7,6,8]=>[5,4,3,2,1,7,6,8]=>[8,6,7,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[5,2,1,4,3,7,8,6]=>[5,3,2,4,1,8,7,6]=>[6,7,8,1,4,2,3,5]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]
[5,3,1,4,2,7,6,8]=>[5,4,3,2,1,7,6,8]=>[8,6,7,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[4,3,1,7,5,2,6,8]=>[6,3,2,7,5,1,4,8]=>[8,4,1,5,7,2,3,6]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[4,3,6,1,5,2,7,8]=>[6,4,5,2,3,1,7,8]=>[8,7,1,3,2,5,4,6]=>[[[.,[[.,.],[[.,.],[.,.]]]],.],.]
[4,6,3,1,5,2,7,8]=>[6,5,4,3,2,1,7,8]=>[8,7,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[5,3,6,4,1,2,7,8]=>[6,5,4,3,2,1,7,8]=>[8,7,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[4,3,6,1,7,2,5,8]=>[6,4,7,2,5,1,3,8]=>[8,3,1,5,2,7,4,6]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[6,3,4,1,2,7,5,8]=>[7,5,4,3,2,6,1,8]=>[8,1,6,2,3,4,5,7]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[6,2,4,1,3,7,8,5]=>[8,4,5,2,3,6,7,1]=>[1,7,6,3,2,5,4,8]=>[.,[[[[.,.],[[.,.],.]],.],[.,.]]]
[5,3,6,2,1,4,7,8]=>[6,5,4,3,2,1,7,8]=>[8,7,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[5,6,2,7,1,3,4,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,5,2,7,3,1,6,8]=>[6,5,3,7,2,1,4,8]=>[8,4,1,2,7,3,5,6]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[4,6,7,2,3,1,5,8]=>[6,7,5,4,3,1,2,8]=>[8,2,1,3,4,5,7,6]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[3,2,6,1,4,7,5,8]=>[4,2,7,1,5,6,3,8]=>[8,3,6,5,1,7,2,4]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]
[3,6,2,1,4,7,5,8]=>[4,7,3,1,5,6,2,8]=>[8,2,6,5,1,3,7,4]=>[[[.,.],[[[.,[.,.]],.],[.,.]]],.]
[3,6,7,2,4,5,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[3,5,2,7,4,6,1,8]=>[7,5,3,6,2,4,1,8]=>[8,1,4,2,6,3,5,7]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[3,7,2,4,8,5,1,6]=>[7,8,3,4,6,5,1,2]=>[2,1,5,6,4,3,8,7]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]
[7,3,1,4,6,8,2,5]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[3,2,6,1,5,7,4,8]=>[4,2,7,1,5,6,3,8]=>[8,3,6,5,1,7,2,4]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]
[3,6,2,1,5,7,4,8]=>[4,7,3,1,5,6,2,8]=>[8,2,6,5,1,3,7,4]=>[[[.,.],[[[.,[.,.]],.],[.,.]]],.]
[6,3,2,1,5,7,4,8]=>[7,4,3,2,5,6,1,8]=>[8,1,6,5,2,3,4,7]=>[[.,[[[.,[.,[.,.]]],.],[.,.]]],.]
[6,4,2,1,5,3,7,8]=>[6,5,4,3,2,1,7,8]=>[8,7,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[4,2,6,1,5,3,7,8]=>[6,4,5,2,3,1,7,8]=>[8,7,1,3,2,5,4,6]=>[[[.,[[.,.],[[.,.],[.,.]]]],.],.]
[4,2,1,7,5,3,6,8]=>[6,3,2,7,5,1,4,8]=>[8,4,1,5,7,2,3,6]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[7,4,1,5,6,2,3,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[7,3,1,5,2,6,4,8]=>[7,5,3,6,2,4,1,8]=>[8,1,4,2,6,3,5,7]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[6,2,5,1,3,7,8,4]=>[8,4,5,2,3,6,7,1]=>[1,7,6,3,2,5,4,8]=>[.,[[[[.,.],[[.,.],.]],.],[.,.]]]
[6,3,5,1,2,7,4,8]=>[7,5,4,3,2,6,1,8]=>[8,1,6,2,3,4,5,7]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[6,4,5,1,7,2,3,8]=>[7,6,4,3,5,2,1,8]=>[8,1,2,5,3,4,6,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[5,2,6,4,1,3,7,8]=>[6,5,4,3,2,1,7,8]=>[8,7,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[4,6,5,1,7,2,3,8]=>[7,6,4,3,5,2,1,8]=>[8,1,2,5,3,4,6,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[6,5,2,1,4,7,8,3]=>[8,5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[6,5,3,1,4,7,2,8]=>[7,5,4,3,2,6,1,8]=>[8,1,6,2,3,4,5,7]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[2,3,1,8,5,4,7,6]=>[3,2,1,8,6,5,7,4]=>[4,7,5,6,8,1,2,3]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[2,4,1,5,8,3,7,6]=>[3,6,1,4,8,2,7,5]=>[5,7,2,8,4,1,6,3]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]
[3,4,5,1,2,8,7,6]=>[5,4,3,2,1,8,7,6]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[3,4,5,1,8,2,7,6]=>[6,4,3,2,8,1,7,5]=>[5,7,1,8,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[2,4,8,5,3,1,7,6]=>[6,5,8,4,2,1,7,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[3,4,5,8,2,1,7,6]=>[6,5,3,8,2,1,7,4]=>[4,7,1,2,8,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[3,4,5,2,8,1,7,6]=>[6,4,3,2,8,1,7,5]=>[5,7,1,8,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[3,4,6,2,1,7,8,5]=>[5,4,8,2,1,6,7,3]=>[3,7,6,1,2,8,4,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[3,4,6,2,1,7,5,8]=>[5,4,7,2,1,6,3,8]=>[8,3,6,1,2,7,4,5]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[3,5,6,2,7,1,8,4]=>[6,8,4,3,5,1,7,2]=>[2,7,1,5,3,4,8,6]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]
[3,5,6,2,7,8,1,4]=>[7,8,4,3,5,6,1,2]=>[2,1,6,5,3,4,8,7]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]
[3,4,6,2,8,7,1,5]=>[7,4,8,2,6,5,1,3]=>[3,1,5,6,2,8,4,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[3,4,6,8,2,7,1,5]=>[7,5,8,6,2,4,1,3]=>[3,1,4,2,6,8,5,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[2,4,8,6,3,7,1,5]=>[7,5,8,6,2,4,1,3]=>[3,1,4,2,6,8,5,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[1,8,4,6,3,7,2,5]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,4,6,3,7,5,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,4,6,8,2,7,5,1]=>[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[3,4,6,2,8,7,5,1]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[3,5,6,2,7,8,4,1]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[3,5,6,2,7,4,1,8]=>[7,6,4,3,5,2,1,8]=>[8,1,2,5,3,4,6,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[4,5,6,7,2,8,3,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,5,6,8,7,2,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,5,8,6,7,3,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,8,5,6,7,3,4,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,5,6,7,3,2,4]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,5,8,6,7,3,1,4]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[3,5,6,8,7,2,1,4]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[4,5,6,7,2,1,8,3]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,4,6,1,8,7,2,5]=>[7,4,8,2,6,5,1,3]=>[3,1,5,6,2,8,4,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[2,4,1,6,8,7,3,5]=>[3,7,1,8,6,5,2,4]=>[4,2,5,6,8,1,7,3]=>[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]
[2,3,1,8,6,7,4,5]=>[3,2,1,8,7,6,5,4]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[2,5,1,6,7,8,4,3]=>[3,8,1,7,5,6,4,2]=>[2,4,6,5,7,1,8,3]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[2,5,1,6,7,4,8,3]=>[3,8,1,6,5,4,7,2]=>[2,7,4,5,6,1,8,3]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[3,5,6,1,7,4,2,8]=>[7,6,4,3,5,2,1,8]=>[8,1,2,5,3,4,6,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[3,5,6,1,7,4,8,2]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[3,4,6,1,8,7,5,2]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[3,4,6,8,1,7,5,2]=>[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[2,4,8,6,1,7,5,3]=>[5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[1,8,4,6,2,7,5,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,5,6,7,2,4,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,5,8,6,7,1,4,3]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[3,5,6,8,7,1,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,5,6,7,8,1,3,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,5,6,7,1,3,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,5,6,7,1,3,2,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,5,6,7,3,1,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,5,6,8,7,4,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,5,8,6,7,4,1,3]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[1,8,5,6,7,4,2,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,5,6,7,4,3,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,5,8,6,7,4,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,2,5,3,7,1,6,4]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[8,2,4,3,7,1,6,5]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[5,8,2,4,3,7,1,6]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[4,2,5,6,1,8,3,7]=>[7,5,3,4,2,8,1,6]=>[6,1,8,2,4,3,5,7]=>[[.,[.,[[.,.],[.,.]]]],[[.,.],.]]
[4,2,5,6,1,7,3,8]=>[7,5,3,4,2,6,1,8]=>[8,1,6,2,4,3,5,7]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[6,1,5,8,3,2,4,7]=>[7,2,6,8,5,3,1,4]=>[4,1,3,5,8,6,2,7]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]
[3,8,2,4,7,1,5,6]=>[6,8,3,4,7,1,5,2]=>[2,5,1,7,4,3,8,6]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[3,6,8,2,4,7,1,5]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[4,3,5,6,7,1,8,2]=>[8,6,3,4,5,2,7,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[3,7,1,5,6,8,2,4]=>[7,8,3,5,4,6,1,2]=>[2,1,6,4,5,3,8,7]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[3,7,1,5,8,2,4,6]=>[6,8,3,7,5,1,4,2]=>[2,4,1,5,7,3,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[8,3,2,4,6,1,5,7]=>[8,6,3,4,7,2,5,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[7,3,2,4,6,1,5,8]=>[7,6,3,4,5,2,1,8]=>[8,1,2,5,4,3,6,7]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[3,2,5,1,7,4,6,8]=>[4,2,6,1,7,3,5,8]=>[8,5,3,7,1,6,2,4]=>[[[[.,[.,.]],[.,.]],[[.,.],.]],.]
[3,2,5,1,8,4,6,7]=>[4,2,6,1,8,3,7,5]=>[5,7,3,8,1,6,2,4]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[3,2,5,1,7,8,4,6]=>[4,2,7,1,8,6,3,5]=>[5,3,6,8,1,7,2,4]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]
[7,8,3,2,4,6,1,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,1,5,7,8,3,2,4]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,2,5,6,1,7,8,3]=>[8,5,3,4,2,6,7,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]
[5,7,6,1,8,3,4,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,8,6,1,7,3,4,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,1,5,8,7,3,2,4]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,7,3,2,4,6,1,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,2,5,1,8,7,4,6]=>[4,2,7,1,8,6,3,5]=>[5,3,6,8,1,7,2,4]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]
[3,2,5,1,6,4,7,8]=>[4,2,6,1,5,3,7,8]=>[8,7,3,5,1,6,2,4]=>[[[[.,[.,.]],[[.,.],[.,.]]],.],.]
[3,2,4,1,8,7,5,6]=>[4,2,3,1,8,7,6,5]=>[5,6,7,8,1,3,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]
[3,8,6,5,1,7,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,7,6,5,1,8,4,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,5,1,7,8,4,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,2,5,1,6,7,8,4]=>[4,2,8,1,5,6,7,3]=>[3,7,6,5,1,8,2,4]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]
[3,2,4,1,8,5,6,7]=>[4,2,3,1,8,6,7,5]=>[5,7,6,8,1,3,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[3,2,4,1,7,5,6,8]=>[4,2,3,1,7,6,5,8]=>[8,5,6,7,1,3,2,4]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[3,2,4,1,6,8,5,7]=>[4,2,3,1,7,8,5,6]=>[6,5,8,7,1,3,2,4]=>[[[.,[[.,.],[.,.]]],.],[[.,.],.]]
[3,2,4,1,8,5,7,6]=>[4,2,3,1,8,6,7,5]=>[5,7,6,8,1,3,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[8,3,2,4,7,6,1,5]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[3,2,5,1,8,4,7,6]=>[4,2,6,1,8,3,7,5]=>[5,7,3,8,1,6,2,4]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[3,2,5,1,6,7,4,8]=>[4,2,7,1,5,6,3,8]=>[8,3,6,5,1,7,2,4]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]
[6,5,1,7,4,2,3,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[6,5,1,8,4,2,3,7]=>[7,6,3,8,5,2,1,4]=>[4,1,2,5,8,3,6,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[8,4,2,3,7,5,1,6]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[4,2,6,1,8,3,7,5]=>[6,4,8,2,7,1,5,3]=>[3,5,1,7,2,8,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[5,2,6,1,8,3,7,4]=>[8,4,6,2,7,3,5,1]=>[1,5,3,7,2,6,4,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[8,4,6,1,7,3,5,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,2,6,1,8,4,7,3]=>[8,4,6,2,7,3,5,1]=>[1,5,3,7,2,6,4,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[7,4,2,3,8,5,1,6]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[8,5,1,6,4,2,3,7]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,5,1,6,4,2,3,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[3,2,5,1,7,6,4,8]=>[4,2,7,1,6,5,3,8]=>[8,3,5,6,1,7,2,4]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[3,2,5,1,8,6,4,7]=>[4,2,7,1,8,6,3,5]=>[5,3,6,8,1,7,2,4]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]
[7,3,2,4,8,6,1,5]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[8,6,1,5,7,3,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,2,6,1,8,5,7,3]=>[8,4,6,2,7,3,5,1]=>[1,5,3,7,2,6,4,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[8,5,6,1,7,3,4,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,6,8,5,1,7,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,1,6,7,4,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,2,5,1,8,6,7,4]=>[4,2,8,1,7,6,5,3]=>[3,5,6,7,1,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[3,2,4,1,8,6,5,7]=>[4,2,3,1,8,7,6,5]=>[5,6,7,8,1,3,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]
[3,2,4,1,5,8,6,7]=>[4,2,3,1,5,8,7,6]=>[6,7,8,5,1,3,2,4]=>[[[.,[[.,.],[.,.]]],.],[.,[.,.]]]
[3,2,5,1,7,8,6,4]=>[4,2,8,1,7,6,5,3]=>[3,5,6,7,1,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[7,8,5,1,6,4,2,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,8,5,1,7,6,4,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,7,5,1,8,6,4,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,7,5,1,6,4,2,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,2,5,1,8,7,6,4]=>[4,2,8,1,7,6,5,3]=>[3,5,6,7,1,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[6,5,7,3,1,8,4,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,6,3,7,1,8,5,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,6,3,7,5,1,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,2,6,1,7,5,3,8]=>[7,4,6,2,5,3,1,8]=>[8,1,3,5,2,6,4,7]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[2,5,7,4,1,6,8,3]=>[5,8,6,4,1,3,7,2]=>[2,7,3,1,4,6,8,5]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]
[5,4,7,3,6,1,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,4,7,8,3,1,6,2]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[4,3,7,5,1,8,6,2]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[6,4,3,8,5,1,7,2]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[5,8,4,3,6,1,7,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,4,8,3,6,1,7,2]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[5,4,3,6,7,1,8,2]=>[8,6,3,4,5,2,7,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[2,5,4,6,1,7,3,8]=>[5,7,3,4,1,6,2,8]=>[8,2,6,1,4,3,7,5]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[3,2,5,8,1,6,7,4]=>[5,2,8,7,1,6,4,3]=>[3,4,6,1,7,8,2,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[2,5,4,6,8,1,7,3]=>[6,8,3,4,7,1,5,2]=>[2,5,1,7,4,3,8,6]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[5,2,8,4,1,6,7,3]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[4,6,2,1,8,5,7,3]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[2,4,1,7,5,8,6,3]=>[3,8,1,7,5,6,4,2]=>[2,4,6,5,7,1,8,3]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[2,4,1,7,5,3,8,6]=>[3,6,1,8,5,2,7,4]=>[4,7,2,5,8,1,6,3]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[2,6,4,1,8,5,3,7]=>[4,7,6,1,8,3,2,5]=>[5,2,3,8,1,6,7,4]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]
[5,4,8,2,1,6,3,7]=>[7,5,8,4,2,6,1,3]=>[3,1,6,2,4,8,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[2,5,8,4,1,6,3,7]=>[5,7,8,4,1,6,2,3]=>[3,2,6,1,4,8,7,5]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]
[3,2,5,6,1,8,4,7]=>[5,2,7,4,1,8,3,6]=>[6,3,8,1,4,7,2,5]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]
[4,8,3,2,6,1,5,7]=>[6,8,4,3,7,1,5,2]=>[2,5,1,7,3,4,8,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[3,5,2,8,1,6,4,7]=>[5,7,3,8,1,6,2,4]=>[4,2,6,1,8,3,7,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[3,2,7,1,5,8,6,4]=>[4,2,8,1,7,6,5,3]=>[3,5,6,7,1,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[3,8,2,5,1,6,7,4]=>[5,8,3,7,1,6,4,2]=>[2,4,6,1,7,3,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[4,8,3,2,6,7,1,5]=>[7,8,4,3,6,5,1,2]=>[2,1,5,6,3,4,8,7]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]
[4,3,8,2,6,7,1,5]=>[7,4,8,2,6,5,1,3]=>[3,1,5,6,2,8,4,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[4,3,2,6,7,8,1,5]=>[7,3,2,8,5,6,1,4]=>[4,1,6,5,8,2,3,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[4,3,2,6,7,1,5,8]=>[6,3,2,7,5,1,4,8]=>[8,4,1,5,7,2,3,6]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[4,3,7,2,6,8,1,5]=>[7,4,8,2,5,6,1,3]=>[3,1,6,5,2,8,4,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[4,3,7,8,2,6,1,5]=>[7,5,8,6,2,4,1,3]=>[3,1,4,2,6,8,5,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[3,2,5,7,8,1,6,4]=>[6,2,8,7,5,1,4,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[3,2,5,7,1,6,4,8]=>[5,2,7,6,1,4,3,8]=>[8,3,4,1,6,7,2,5]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[6,3,2,7,1,5,4,8]=>[7,5,3,6,2,4,1,8]=>[8,1,4,2,6,3,5,7]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[6,3,2,7,1,5,8,4]=>[8,5,3,6,2,4,7,1]=>[1,7,4,2,6,3,5,8]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[6,3,2,7,8,1,5,4]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[4,2,6,1,7,8,5,3]=>[8,4,7,2,5,6,3,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[6,5,2,1,7,8,4,3]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[2,1,7,5,3,8,6,4]=>[2,1,8,7,5,6,4,3]=>[3,4,6,5,7,8,1,2]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[6,2,1,8,5,3,7,4]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[6,3,2,7,1,4,8,5]=>[8,5,3,6,2,4,7,1]=>[1,7,4,2,6,3,5,8]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[6,3,2,1,4,7,5,8]=>[7,4,3,2,5,6,1,8]=>[8,1,6,5,2,3,4,7]=>[[.,[[[.,[.,[.,.]]],.],[.,.]]],.]
[3,5,2,1,7,4,6,8]=>[4,6,3,1,7,2,5,8]=>[8,5,2,7,1,3,6,4]=>[[[[.,.],[.,[.,.]]],[[.,.],.]],.]
[3,5,2,1,7,8,4,6]=>[4,7,3,1,8,6,2,5]=>[5,2,6,8,1,3,7,4]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]
[5,8,4,2,1,7,3,6]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[4,6,2,1,8,3,7,5]=>[6,8,4,3,7,1,5,2]=>[2,5,1,7,3,4,8,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[2,4,1,7,3,8,6,5]=>[3,5,1,8,2,7,6,4]=>[4,6,7,2,8,1,5,3]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[3,5,8,2,1,7,4,6]=>[5,7,8,4,1,6,2,3]=>[3,2,6,1,4,8,7,5]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]
[4,8,3,7,2,1,5,6]=>[6,8,5,7,3,1,4,2]=>[2,4,1,3,7,5,8,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[4,3,7,2,8,1,5,6]=>[6,4,8,2,7,1,5,3]=>[3,5,1,7,2,8,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[4,3,7,2,1,5,6,8]=>[5,4,7,2,1,6,3,8]=>[8,3,6,1,2,7,4,5]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[4,8,3,2,7,1,5,6]=>[6,8,4,3,7,1,5,2]=>[2,5,1,7,3,4,8,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[3,5,2,8,1,7,4,6]=>[5,7,3,8,1,6,2,4]=>[4,2,6,1,8,3,7,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[6,3,2,8,1,4,7,5]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[3,2,1,4,7,5,8,6]=>[3,2,1,4,8,6,7,5]=>[5,7,6,8,4,1,2,3]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]
[5,3,2,1,8,4,6,7]=>[6,4,3,2,8,1,7,5]=>[5,7,1,8,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[4,8,3,2,1,5,6,7]=>[5,8,4,3,1,6,7,2]=>[2,7,6,1,3,4,8,5]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[4,3,8,2,1,5,6,7]=>[5,4,8,2,1,6,7,3]=>[3,7,6,1,2,8,4,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,6,4,5,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[9,1,2,3,4,5,6,7,8]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[1,9,8,7,5,6,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[10,9,8,7,6,5,4,3,2,1,11]=>[10,9,8,7,6,5,4,3,2,1,11]=>[11,1,2,3,4,5,6,7,8,9,10]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],.]
[9,8,7,5,6,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[10,1,2,3,4,5,6,7,8,9]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[8,7,5,4,6,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[9,1,2,3,4,5,6,7,8]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[8,7,4,6,5,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[9,1,2,3,4,5,6,7,8]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[1,9,8,6,5,7,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,9,8,5,7,6,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,10,9,8,6,7,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[1,11,10,9,8,7,6,5,4,3,2]=>[1,11,10,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,10,11,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,4,5,2,3,1,7,6]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,6,7,2,5,3,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,2,5,3,4,1,7,6]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,2,5,3,4,1,8,7]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[6,1,5,2,4,3,8,7]=>[6,2,5,4,3,1,8,7]=>[7,8,1,3,4,5,2,6]=>[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]
[6,4,5,1,3,2,8,7]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[6,1,5,3,4,2,8,7]=>[6,2,5,4,3,1,8,7]=>[7,8,1,3,4,5,2,6]=>[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]
[6,3,5,1,4,2,8,7]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[8,3,5,2,4,1,7,6]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,3,7,5,6,2,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,3,7,2,4,1,6,5]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[8,3,5,1,4,2,7,6]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,1,5,3,4,2,7,6]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[8,4,5,1,3,2,7,6]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[2,1,8,4,5,3,7,6]=>[2,1,8,6,5,4,7,3]=>[3,7,4,5,6,8,1,2]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[8,6,7,4,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,7,1,5,3,4,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,6,7,3,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,3,7,5,6,1,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,7,3,6,1,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,3,7,4,6,2,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,3,7,4,6,1,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,3,7,1,6,4,5,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,1,7,3,6,4,5,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,7,5,6,3,4,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,4,7,5,6,1,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,1,8,4,7,5,6,3]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[8,1,7,3,4,2,6,5]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,7,3,6,2,5,4]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,3,7,1,6,2,5,4]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[8,3,7,2,6,4,5,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,2,7,3,6,4,5,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,2,7,3,6,1,5,4]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[8,2,7,1,6,3,5,4]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,1,7,2,4,3,6,5]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,1,3,2,7,4,6,5]=>[8,2,4,3,7,6,5,1]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[8,1,5,2,4,3,7,6]=>[8,2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[8,2,7,1,4,3,6,5]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,2,7,3,4,1,6,5]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[8,2,7,5,6,3,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,7,5,6,2,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,7,2,3,1,6,5]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[8,2,3,1,7,4,6,5]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[8,2,3,1,5,4,7,6]=>[8,4,3,2,6,5,7,1]=>[1,7,5,6,2,3,4,8]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[4,2,3,1,8,5,7,6]=>[4,3,2,1,8,6,7,5]=>[5,7,6,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[4,1,3,2,8,6,7,5]=>[4,2,3,1,8,7,6,5]=>[5,6,7,8,1,3,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]
[8,6,7,2,3,1,5,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,2,3,1,7,5,6,4]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[8,5,7,2,6,3,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,7,2,6,1,4,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,2,7,5,6,1,4,3]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[8,6,7,2,5,1,4,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,7,1,5,2,4,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,6,7,1,3,2,5,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,1,8,6,7,3,5,4]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[8,1,3,2,7,5,6,4]=>[8,2,4,3,7,6,5,1]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[8,1,7,5,6,2,4,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,7,2,6,4,5,3]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,2,7,1,6,4,5,3]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,2,7,4,6,1,5,3]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[8,2,7,4,6,3,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,7,2,6,3,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,7,2,6,1,5,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,7,1,6,2,5,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,1,7,4,6,2,5,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,5,7,1,6,2,4,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,1,8,5,7,3,6,4]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[8,5,7,4,6,1,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,7,1,6,3,4,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,1,7,4,6,3,5,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,4,7,1,6,3,5,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,4,7,3,6,1,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,4,8,3,6,1,7,5]=>[6,4,8,2,7,1,5,3]=>[3,5,1,7,2,8,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[6,5,8,1,3,2,7,4]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[4,5,8,6,3,2,7,1]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[6,5,8,7,3,1,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,5,8,7,3,6,2,4]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,7,2,8,4,6,5,3]=>[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[6,7,2,8,4,1,5,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,6,2,8,4,5,7,1]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[2,6,1,8,4,5,7,3]=>[3,8,1,7,6,5,4,2]=>[2,4,5,6,7,1,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[2,8,4,6,1,5,7,3]=>[5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[6,3,1,8,4,5,7,2]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[3,1,6,8,4,5,7,2]=>[8,2,6,7,5,3,4,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[2,3,6,8,4,5,7,1]=>[8,2,6,7,5,3,4,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[6,3,7,8,4,1,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,3,7,8,4,6,5,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,5,7,8,2,4,6,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,1,7,8,2,4,6,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,6,7,8,4,2,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,1,8,4,2,5,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,6,8,7,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,8,3,7,1,6,5,4]=>[5,8,3,7,1,6,4,2]=>[2,4,6,1,7,3,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[5,2,8,7,3,6,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,2,1,8,4,6,5,3]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[3,2,7,8,4,6,5,1]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,2,7,8,1,4,6,3]=>[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[1,2,7,8,5,4,6,3]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[4,2,1,3,8,5,6,7]=>[4,3,2,1,8,6,7,5]=>[5,7,6,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[7,2,5,8,3,4,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,2,8,5,4,3,1,7]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[2,8,3,5,4,1,6,7]=>[6,8,3,5,4,1,7,2]=>[2,7,1,4,5,3,8,6]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[2,8,4,5,3,1,6,7]=>[6,8,5,4,3,1,7,2]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[6,4,8,5,2,3,1,7]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[7,3,5,8,2,4,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,3,1,2,8,5,6,7]=>[4,3,2,1,8,6,7,5]=>[5,7,6,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[3,4,2,1,8,5,6,7]=>[4,3,2,1,8,6,7,5]=>[5,7,6,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[2,7,6,8,4,3,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,7,1,8,3,4,6,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,7,5,8,1,4,6,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,7,5,8,3,4,6,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,6,8,5,4,3,2,7]=>[1,7,8,6,5,4,2,3]=>[3,2,4,5,6,8,7,1]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[4,6,8,5,1,3,2,7]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[7,5,8,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,4,8,3,6,5,1,7]=>[7,4,8,2,6,5,1,3]=>[3,1,5,6,2,8,4,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[2,8,4,1,5,6,3,7]=>[4,8,7,1,5,6,3,2]=>[2,3,6,5,1,7,8,4]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[4,1,8,3,5,6,2,7]=>[7,2,8,4,5,6,1,3]=>[3,1,6,5,4,8,2,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[5,6,8,4,1,3,2,7]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[1,6,8,4,5,3,2,7]=>[1,7,8,6,5,4,2,3]=>[3,2,4,5,6,8,7,1]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[1,7,3,8,5,4,6,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,7,1,8,5,4,6,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,7,3,8,4,6,5,1]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,1,3,8,4,6,5,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,7,8,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,8,7,4,1,6,5,3]=>[5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[2,8,5,4,3,1,6,7]=>[6,8,5,4,3,1,7,2]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[6,5,8,4,2,3,1,7]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[4,1,3,2,8,5,6,7]=>[4,2,3,1,8,6,7,5]=>[5,7,6,8,1,3,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[1,4,3,2,8,5,6,7]=>[1,4,3,2,8,6,7,5]=>[5,7,6,8,2,3,4,1]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[7,3,2,8,5,4,6,1]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,4,8,2,5,3,1,7]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[2,8,4,3,5,1,6,7]=>[6,8,4,3,5,1,7,2]=>[2,7,1,5,3,4,8,6]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]
[2,8,3,4,5,1,6,7]=>[6,8,3,4,5,1,7,2]=>[2,7,1,5,4,3,8,6]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]
[6,2,8,4,5,3,1,7]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[7,2,3,8,5,4,6,1]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,2,3,1,8,5,6,7]=>[4,3,2,1,8,6,7,5]=>[5,7,6,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[3,2,1,4,8,5,6,7]=>[3,2,1,4,8,6,7,5]=>[5,7,6,8,4,1,2,3]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]
[5,1,3,2,4,8,6,7]=>[5,2,4,3,1,8,7,6]=>[6,7,8,1,3,4,2,5]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]
[2,8,1,5,3,4,7,6]=>[3,8,1,6,5,4,7,2]=>[2,7,4,5,6,1,8,3]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[1,4,2,8,5,3,6,7]=>[1,6,3,8,5,2,7,4]=>[4,7,2,5,8,3,6,1]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[1,8,4,2,5,3,6,7]=>[1,8,6,4,5,3,7,2]=>[2,7,3,5,4,6,8,1]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[8,1,5,3,2,4,6,7]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[3,8,1,5,2,4,6,7]=>[5,8,3,6,1,4,7,2]=>[2,7,4,1,6,3,8,5]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]
[3,5,1,4,8,2,6,7]=>[6,4,3,2,8,1,7,5]=>[5,7,1,8,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[1,5,2,8,4,3,6,7]=>[1,6,3,8,5,2,7,4]=>[4,7,2,5,8,3,6,1]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[1,2,5,4,3,8,6,7]=>[1,2,5,4,3,8,7,6]=>[6,7,8,3,4,5,2,1]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]
[1,2,4,8,5,3,7,6]=>[1,2,6,8,5,3,7,4]=>[4,7,3,5,8,6,2,1]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]
[1,2,7,4,8,5,3,6]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[5,1,2,7,4,8,3,6]=>[7,2,3,8,5,6,1,4]=>[4,1,6,5,8,3,2,7]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[8,3,5,1,4,7,2,6]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,8,1,5,4,7,3,6]=>[3,8,1,7,5,6,4,2]=>[2,4,6,5,7,1,8,3]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,2,8,5,7,4,3,6]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,2,4,8,7,5,3,6]=>[1,2,7,8,6,5,3,4]=>[4,3,5,6,8,7,2,1]=>[[[[.,.],.],.],[.,[.,[[.,.],.]]]]
[2,8,1,4,3,7,6,5]=>[3,8,1,5,4,7,6,2]=>[2,6,7,4,5,1,8,3]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[6,1,2,8,7,4,3,5]=>[8,2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[6,4,1,2,8,7,3,5]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[3,6,4,8,1,7,2,5]=>[7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[7,6,1,4,2,8,3,5]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[7,1,6,2,8,4,3,5]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[1,6,7,2,8,4,3,5]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[6,7,1,4,2,8,3,5]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[6,3,7,1,4,8,2,5]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,1,2,8,5,3,4,6]=>[8,2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[1,7,2,8,4,5,3,6]=>[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[6,1,2,8,4,3,7,5]=>[8,2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[6,4,1,2,8,3,7,5]=>[8,6,3,4,7,2,5,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[7,6,1,3,2,4,8,5]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[6,7,1,3,2,4,8,5]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[1,2,7,3,5,8,4,6]=>[1,2,8,4,7,6,5,3]=>[3,5,6,7,4,8,2,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[1,2,7,5,8,3,4,6]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[5,8,1,3,7,2,4,6]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[1,2,5,8,7,3,4,6]=>[1,2,7,8,6,5,3,4]=>[4,3,5,6,8,7,2,1]=>[[[[.,.],.],.],[.,[.,[[.,.],.]]]]
[1,2,5,8,3,7,4,6]=>[1,2,7,8,5,6,3,4]=>[4,3,6,5,8,7,2,1]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]
[2,8,1,7,3,5,4,6]=>[3,8,1,7,5,6,4,2]=>[2,4,6,5,7,1,8,3]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[8,6,1,3,2,4,7,5]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[4,2,8,1,7,3,6,5]=>[6,4,8,2,7,1,5,3]=>[3,5,1,7,2,8,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[2,8,1,7,4,3,6,5]=>[3,8,1,7,6,5,4,2]=>[2,4,5,6,7,1,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,2,8,4,3,6,5]=>[8,2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[1,2,8,4,7,5,3,6]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,2,8,7,4,5,3,6]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[2,8,1,7,5,3,4,6]=>[3,8,1,7,6,5,4,2]=>[2,4,5,6,7,1,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[8,3,7,1,5,2,4,6]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[3,8,6,1,4,7,2,5]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[8,6,1,4,2,7,3,5]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,1,6,2,7,4,3,5]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,1,2,8,6,4,3,5]=>[8,2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[7,4,1,2,8,6,3,5]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[3,7,4,8,1,6,2,5]=>[7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[3,4,8,7,1,6,2,5]=>[7,5,8,6,2,4,1,3]=>[3,1,4,2,6,8,5,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[4,2,8,1,7,6,3,5]=>[7,4,8,2,6,5,1,3]=>[3,1,5,6,2,8,4,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[2,8,1,7,6,4,3,5]=>[3,8,1,7,6,5,4,2]=>[2,4,5,6,7,1,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[7,8,3,4,1,5,2,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,3,4,1,6,2,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,3,4,1,7,2,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,3,4,1,8,2,5]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,7,3,4,1,8,2,6]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[5,8,3,4,1,7,2,6]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[5,8,3,4,1,6,2,7]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[6,8,3,4,1,5,2,7]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[6,7,3,4,1,5,2,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,7,3,4,1,6,2,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,6,2,8,3,4,1,7]=>[7,6,5,8,3,2,1,4]=>[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[5,6,2,7,3,4,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,6,2,8,3,5,1,7]=>[7,6,5,8,3,2,1,4]=>[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[4,7,3,5,1,6,2,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,8,3,5,1,6,2,7]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[4,8,3,5,1,7,2,6]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[4,7,3,5,1,8,2,6]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[5,6,2,3,1,7,4,8]=>[7,5,4,3,2,6,1,8]=>[8,1,6,2,3,4,5,7]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[5,6,2,4,1,8,3,7]=>[7,5,4,3,2,8,1,6]=>[6,1,8,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[5,6,2,4,1,7,3,8]=>[7,5,4,3,2,6,1,8]=>[8,1,6,2,3,4,5,7]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[4,6,2,5,1,7,3,8]=>[7,5,4,3,2,6,1,8]=>[8,1,6,2,3,4,5,7]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[4,6,2,5,1,8,3,7]=>[7,5,4,3,2,8,1,6]=>[6,1,8,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[4,5,1,8,3,7,2,6]=>[7,5,3,8,2,6,1,4]=>[4,1,6,2,8,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[4,5,1,7,3,8,2,6]=>[7,5,3,8,2,6,1,4]=>[4,1,6,2,8,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[4,6,2,7,3,8,1,5]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[5,6,2,7,3,8,1,4]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,6,2,7,4,8,1,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,6,3,8,4,7,1,2]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[5,6,2,8,4,7,1,3]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[5,6,2,8,3,7,1,4]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[4,6,2,8,3,7,1,5]=>[7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[4,5,1,7,3,6,2,8]=>[7,5,3,6,2,4,1,8]=>[8,1,4,2,6,3,5,7]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[4,5,1,8,3,6,2,7]=>[7,5,3,8,2,6,1,4]=>[4,1,6,2,8,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[3,2,4,5,6,7,8,9,10,1]=>[10,2,3,4,5,6,7,8,9,1]=>[1,9,8,7,6,5,4,3,2,10]=>[.,[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]]
[6,5,3,2,1,4,8,7]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[4,6,3,5,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[8,7,3,5,2,4,1,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,2,4,5,7,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,2,4,5,3,1,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,6,1,4,5,2,8,7]=>[6,5,3,4,2,1,8,7]=>[7,8,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]
[8,3,7,4,5,2,1,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,3,8,4,5,7,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,7,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,8,7,4,3,6,1,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[8,1,7,4,3,6,2,5]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,7,3,5,1,4,2,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,1,6,8,5,7,4,3]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[6,8,3,5,1,7,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,1,8,4,7,6,3,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,5,8,4,7,6,3,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,3,8,1,5,6,7,2]=>[8,4,7,2,5,6,3,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[4,8,1,3,5,6,7,2]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[5,8,7,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,3,6,1,4,7,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,3,6,1,2,7,5]=>[6,8,5,7,3,1,4,2]=>[2,4,1,3,7,5,8,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[3,8,7,4,1,6,2,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[3,8,1,2,5,6,7,4]=>[4,8,3,1,7,6,5,2]=>[2,5,6,7,1,3,8,4]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[8,7,1,4,2,6,3,5]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,6,3,1,2,4,7,5]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,1,7,4,5,2,3,6]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,8,7,4,5,1,3,6]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[8,7,2,4,1,6,3,5]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[5,8,3,6,2,4,7,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,3,2,1,4,7,5]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,7,3,5,2,1,4,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,3,6,2,1,7,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,7,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,6,8,4,5,7,1,3]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[6,1,8,4,5,7,2,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,8,3,5,1,7,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,1,5,8,3,6,7,4]=>[2,1,8,7,5,6,4,3]=>[3,4,6,5,7,8,1,2]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[5,8,3,6,1,2,7,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,1,8,2,5,6,7,3]=>[8,2,7,4,5,6,3,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[2,4,8,1,5,6,7,3]=>[4,8,7,1,5,6,3,2]=>[2,3,6,5,1,7,8,4]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[4,8,2,1,5,6,7,3]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[3,4,8,2,5,6,7,1]=>[8,4,7,2,5,6,3,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[5,8,1,4,7,6,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,8,3,1,6,2,7,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,5,3,8,6,1,7,2]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[3,4,1,8,5,6,7,2]=>[8,3,2,7,5,6,4,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[2,4,6,8,10,1,3,5,7,9]=>[6,7,8,9,10,1,2,3,4,5]=>[5,4,3,2,1,10,9,8,7,6]=>[[[[[.,.],.],.],.],[[[[[.,.],.],.],.],.]]
[2,7,8,9,10,1,3,4,5,6]=>[6,10,9,8,7,1,5,4,3,2]=>[2,3,4,5,1,7,8,9,10,6]=>[[.,.],[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]]
[5,6,7,8,10,1,2,3,4,9]=>[9,8,7,6,10,4,3,2,1,5]=>[5,1,2,3,4,10,6,7,8,9]=>[[.,[.,[.,[.,.]]]],[[.,[.,[.,[.,.]]]],.]]
[5,7,8,9,10,1,2,3,4,6]=>[9,10,8,7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7,8,10,9]=>[[.,.],[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]
[2,4,6,8,10,12,1,3,5,7,9,11]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>[6,5,4,3,2,1,12,11,10,9,8,7]=>[[[[[[.,.],.],.],.],.],[[[[[[.,.],.],.],.],.],.]]
[2,4,6,10,11,12,1,3,5,7,8,9]=>[7,8,9,12,11,10,1,2,3,6,5,4]=>[4,5,6,3,2,1,10,11,12,9,8,7]=>[[[[.,.],.],.],[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]]
[2,8,9,10,11,12,1,3,4,5,6,7]=>[7,12,11,10,9,8,1,6,5,4,3,2]=>[2,3,4,5,6,1,8,9,10,11,12,7]=>[[.,.],[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]]
[6,7,8,9,10,12,1,2,3,4,5,11]=>[11,10,9,8,7,12,5,4,3,2,1,6]=>[6,1,2,3,4,5,12,7,8,9,10,11]=>[[.,[.,[.,[.,[.,.]]]]],[[.,[.,[.,[.,[.,.]]]]],.]]
[7,8,9,10,11,12,1,2,3,4,5,6]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[4,5,7,6,2,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,5,7,2,6,4,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[2,5,7,3,6,4,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[1,5,7,3,6,8,4,2]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[8,4,3,7,6,1,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,2,3,5,4,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,2,7,3,6,4,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,3,4,7,6,1,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,2,4,7,1,6,5,3]=>[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[3,1,4,7,6,8,5,2]=>[8,2,3,7,5,6,4,1]=>[1,4,6,5,7,3,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[4,1,3,7,6,8,5,2]=>[8,2,3,7,5,6,4,1]=>[1,4,6,5,7,3,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[5,1,7,3,6,8,4,2]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[6,7,1,3,5,8,4,2]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[5,8,7,3,6,1,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,3,7,6,1,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,8,4,7,6,1,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,8,4,7,1,6,5,3]=>[5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[8,1,4,7,2,6,5,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,3,2,7,6,5,4]=>[8,2,4,3,7,6,5,1]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[2,8,3,1,7,6,5,4]=>[4,8,3,1,7,6,5,2]=>[2,5,6,7,1,3,8,4]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[3,8,2,1,7,6,5,4]=>[4,8,3,1,7,6,5,2]=>[2,5,6,7,1,3,8,4]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[6,7,1,2,8,5,4,3]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[8,2,3,1,7,6,5,4]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[8,3,2,1,7,6,5,4]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[3,4,1,7,6,8,5,2]=>[8,3,2,7,5,6,4,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[1,4,2,7,8,6,5,3]=>[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[8,4,2,7,1,6,5,3]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[8,5,7,2,1,6,4,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,5,7,2,8,6,4,3]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[2,5,7,1,8,6,4,3]=>[4,8,7,1,6,5,3,2]=>[2,3,5,6,1,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[3,5,7,1,6,8,4,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,7,4,5,8,1,3,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,4,7,6,8,1,3,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,5,7,8,1,6,4,3]=>[5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[1,5,7,8,2,6,4,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,5,7,1,2,6,4,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,4,1,7,2,6,5,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,4,8,7,2,6,5,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,4,8,7,6,1,5,2]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[4,3,8,7,6,1,5,2]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[5,3,7,8,6,1,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,2,8,1,5,4,3]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[5,2,7,8,1,6,4,3]=>[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[4,2,8,7,1,6,5,3]=>[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[3,2,8,1,7,6,5,4]=>[4,2,8,1,7,6,5,3]=>[3,5,6,7,1,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[1,3,8,2,7,6,5,4]=>[1,4,8,2,7,6,5,3]=>[3,5,6,7,2,8,4,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[8,3,1,2,7,6,5,4]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[8,2,1,3,7,6,5,4]=>[8,3,2,4,7,6,5,1]=>[1,5,6,7,4,2,3,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[1,2,8,3,7,6,5,4]=>[1,2,8,4,7,6,5,3]=>[3,5,6,7,4,8,2,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[4,1,8,7,2,6,5,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,1,7,8,2,6,4,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,7,1,8,2,5,4,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,8,7,1,2,6,4,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,8,1,7,2,6,5,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,8,1,2,7,6,5,4]=>[4,8,3,1,7,6,5,2]=>[2,5,6,7,1,3,8,4]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[1,8,2,3,7,6,5,4]=>[1,8,3,4,7,6,5,2]=>[2,5,6,7,4,3,8,1]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[8,1,2,3,7,6,5,4]=>[8,2,3,4,7,6,5,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[3,1,4,5,6,7,8,9,10,2]=>[10,2,3,4,5,6,7,8,9,1]=>[1,9,8,7,6,5,4,3,2,10]=>[.,[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]]
[6,7,1,8,4,5,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,7,1,5,8,2,6,4]=>[6,8,3,7,5,1,4,2]=>[2,4,1,5,7,3,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[2,7,1,5,8,3,6,4]=>[3,8,1,7,6,5,4,2]=>[2,4,5,6,7,1,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[2,6,5,1,8,3,7,4]=>[4,8,6,1,7,3,5,2]=>[2,5,3,7,1,6,8,4]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[3,6,5,1,8,2,7,4]=>[6,8,4,3,7,1,5,2]=>[2,5,1,7,3,4,8,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[4,6,5,1,8,7,2,3]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[5,6,4,1,8,7,2,3]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[8,1,4,5,7,6,2,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,4,5,1,8,7,2,3]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[5,4,6,1,8,7,2,3]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[4,5,6,1,8,7,2,3]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[3,5,6,1,8,2,7,4]=>[6,8,4,3,7,1,5,2]=>[2,5,1,7,3,4,8,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[2,5,6,1,8,3,7,4]=>[4,8,6,1,7,3,5,2]=>[2,5,3,7,1,6,8,4]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[2,4,6,1,3,8,7,5]=>[4,5,8,1,2,7,6,3]=>[3,6,7,2,1,8,5,4]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]
[3,4,6,1,2,8,7,5]=>[5,4,8,2,1,7,6,3]=>[3,6,7,1,2,8,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[4,3,6,1,2,8,7,5]=>[5,4,8,2,1,7,6,3]=>[3,6,7,1,2,8,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[5,3,6,1,8,2,7,4]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[7,3,1,5,8,2,6,4]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[8,1,3,5,7,2,6,4]=>[8,2,6,7,5,3,4,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[8,1,2,5,7,3,6,4]=>[8,2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[7,2,1,5,8,3,6,4]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[6,2,5,1,8,3,7,4]=>[8,4,6,2,7,3,5,1]=>[1,5,3,7,2,6,4,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[4,2,6,1,3,8,7,5]=>[5,4,8,2,1,7,6,3]=>[3,6,7,1,2,8,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[4,2,5,3,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[6,2,4,1,3,8,7,5]=>[8,4,5,2,3,7,6,1]=>[1,6,7,3,2,5,4,8]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[7,2,1,4,3,8,6,5]=>[8,3,2,5,4,7,6,1]=>[1,6,7,4,5,2,3,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[8,1,2,4,3,7,6,5]=>[8,2,3,5,4,7,6,1]=>[1,6,7,4,5,3,2,8]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[6,3,4,1,2,8,7,5]=>[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[4,6,3,1,2,8,7,5]=>[5,8,4,3,1,7,6,2]=>[2,6,7,1,3,4,8,5]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[3,6,4,1,2,8,7,5]=>[5,8,4,3,1,7,6,2]=>[2,6,7,1,3,4,8,5]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[2,6,4,1,3,8,7,5]=>[4,8,5,1,3,7,6,2]=>[2,6,7,3,1,5,8,4]=>[[.,.],[[.,[[.,.],.]],[.,[.,.]]]]
[2,7,1,4,3,8,6,5]=>[3,8,1,5,4,7,6,2]=>[2,6,7,4,5,1,8,3]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[3,7,1,4,2,8,6,5]=>[5,8,3,4,1,7,6,2]=>[2,6,7,1,4,3,8,5]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[4,7,1,3,2,8,6,5]=>[5,8,3,4,1,7,6,2]=>[2,6,7,1,4,3,8,5]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[8,1,6,7,2,3,5,4]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,7,1,2,3,8,6,5]=>[5,8,3,4,1,7,6,2]=>[2,6,7,1,4,3,8,5]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[3,7,1,2,4,8,6,5]=>[4,8,3,1,5,7,6,2]=>[2,6,7,5,1,3,8,4]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]
[2,6,3,1,4,8,7,5]=>[4,8,3,1,5,7,6,2]=>[2,6,7,5,1,3,8,4]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]
[3,6,2,1,4,8,7,5]=>[4,8,3,1,5,7,6,2]=>[2,6,7,5,1,3,8,4]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]
[5,6,2,1,8,3,7,4]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[6,5,2,1,8,3,7,4]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[8,1,5,2,7,3,6,4]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,4,2,1,3,8,7,5]=>[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[5,4,2,3,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[3,5,2,4,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[8,1,2,3,4,7,6,5]=>[8,2,3,4,5,7,6,1]=>[1,6,7,5,4,3,2,8]=>[.,[[[[[.,.],.],.],.],[.,[.,.]]]]
[2,4,3,6,1,5,8,7]=>[5,3,2,6,1,4,8,7]=>[7,8,4,1,6,2,3,5]=>[[[.,[.,[.,.]]],[[.,.],.]],[.,.]]
[2,4,3,6,5,8,1,7]=>[7,3,2,5,4,8,1,6]=>[6,1,8,4,5,2,3,7]=>[[.,[[.,[.,.]],[.,.]]],[[.,.],.]]
[2,4,6,3,5,8,7,1]=>[8,4,5,2,3,7,6,1]=>[1,6,7,3,2,5,4,8]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[2,4,6,3,5,8,1,7]=>[7,4,5,2,3,8,1,6]=>[6,1,8,3,2,5,4,7]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]
[2,4,6,3,5,1,8,7]=>[6,4,5,2,3,1,8,7]=>[7,8,1,3,2,5,4,6]=>[[.,[[.,.],[[.,.],[.,.]]]],[.,.]]
[2,4,6,3,1,5,8,7]=>[5,4,6,2,1,3,8,7]=>[7,8,3,1,2,6,4,5]=>[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]
[2,4,1,6,5,3,8,7]=>[3,6,1,5,4,2,8,7]=>[7,8,2,4,5,1,6,3]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]
[2,4,6,1,5,3,8,7]=>[4,6,5,1,3,2,8,7]=>[7,8,2,3,1,5,6,4]=>[[[.,.],[.,[[.,.],[.,.]]]],[.,.]]
[4,2,6,5,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[4,2,6,5,1,3,8,7]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[4,2,6,5,1,8,7,3]=>[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[4,2,6,5,8,1,7,3]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[4,2,6,5,8,1,3,7]=>[7,6,4,3,8,2,1,5]=>[5,1,2,8,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[4,2,6,5,8,3,1,7]=>[7,6,4,3,8,2,1,5]=>[5,1,2,8,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[2,4,6,1,5,8,3,7]=>[4,7,5,1,3,8,2,6]=>[6,2,8,3,1,5,7,4]=>[[[.,.],[.,[[.,.],.]]],[[.,.],.]]
[2,4,1,6,5,8,3,7]=>[3,7,1,5,4,8,2,6]=>[6,2,8,4,5,1,7,3]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]
[2,1,4,6,5,8,3,7]=>[2,1,7,5,4,8,3,6]=>[6,3,8,4,5,7,1,2]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]
[2,4,1,6,5,8,7,3]=>[3,8,1,5,4,7,6,2]=>[2,6,7,4,5,1,8,3]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[2,4,6,1,5,8,7,3]=>[4,8,5,1,3,7,6,2]=>[2,6,7,3,1,5,8,4]=>[[.,.],[[.,[[.,.],.]],[.,[.,.]]]]
[4,2,6,5,3,8,7,1]=>[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[4,2,6,5,8,3,7,1]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[2,6,4,3,8,7,1,5]=>[7,8,4,3,6,5,1,2]=>[2,1,5,6,3,4,8,7]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]
[2,6,4,3,8,7,5,1]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[4,2,6,8,5,3,7,1]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[2,4,6,8,1,5,7,3]=>[5,8,6,7,1,3,4,2]=>[2,4,3,1,7,6,8,5]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]
[2,4,6,1,8,5,7,3]=>[4,8,6,1,7,3,5,2]=>[2,5,3,7,1,6,8,4]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[2,4,1,6,8,5,7,3]=>[3,8,1,6,7,4,5,2]=>[2,5,4,7,6,1,8,3]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[2,1,4,6,8,5,7,3]=>[2,1,8,6,7,4,5,3]=>[3,5,4,7,6,8,1,2]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[2,1,4,6,8,5,3,7]=>[2,1,7,6,8,4,3,5]=>[5,3,4,8,6,7,1,2]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]
[2,4,1,6,8,5,3,7]=>[3,7,1,6,8,4,2,5]=>[5,2,4,8,6,1,7,3]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]]
[2,4,6,1,8,5,3,7]=>[4,7,6,1,8,3,2,5]=>[5,2,3,8,1,6,7,4]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]
[2,4,6,8,1,5,3,7]=>[5,7,6,8,1,3,2,4]=>[4,2,3,1,8,6,7,5]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]
[4,2,6,8,5,3,1,7]=>[7,6,5,8,3,2,1,4]=>[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[4,2,6,8,5,1,3,7]=>[7,6,5,8,3,2,1,4]=>[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[4,2,6,8,5,1,7,3]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[2,4,6,8,3,5,7,1]=>[8,5,6,7,2,3,4,1]=>[1,4,3,2,7,6,5,8]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]
[2,4,6,8,3,5,1,7]=>[7,5,6,8,2,3,1,4]=>[4,1,3,2,8,6,5,7]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]
[2,4,6,8,3,1,5,7]=>[6,5,7,8,2,1,3,4]=>[4,3,1,2,8,7,5,6]=>[[[.,[.,.]],.],[[[.,[.,.]],.],.]]
[2,4,6,3,1,8,5,7]=>[5,4,7,2,1,8,3,6]=>[6,3,8,1,2,7,4,5]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]
[2,4,6,3,8,1,5,7]=>[6,4,7,2,8,1,3,5]=>[5,3,1,8,2,7,4,6]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]
[2,4,6,3,8,5,1,7]=>[7,4,6,2,8,3,1,5]=>[5,1,3,8,2,6,4,7]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]
[2,4,6,3,8,5,7,1]=>[8,4,6,2,7,3,5,1]=>[1,5,3,7,2,6,4,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[2,4,3,6,8,5,7,1]=>[8,3,2,6,7,4,5,1]=>[1,5,4,7,6,2,3,8]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]
[2,4,3,6,8,5,1,7]=>[7,3,2,6,8,4,1,5]=>[5,1,4,8,6,2,3,7]=>[[.,[[.,[.,.]],.]],[[.,[.,.]],.]]
[2,4,3,6,8,1,5,7]=>[6,3,2,7,8,1,4,5]=>[5,4,1,8,7,2,3,6]=>[[[.,[.,[.,.]]],.],[[[.,.],.],.]]
[2,4,3,6,1,8,5,7]=>[5,3,2,7,1,8,4,6]=>[6,4,8,1,7,2,3,5]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]
[2,4,3,1,6,8,5,7]=>[4,3,2,1,7,8,5,6]=>[6,5,8,7,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],.],[[.,.],.]]
[2,4,1,3,6,8,7,5]=>[3,4,1,2,8,7,6,5]=>[5,6,7,8,2,1,4,3]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]
[2,4,3,6,1,8,7,5]=>[5,3,2,8,1,7,6,4]=>[4,6,7,1,8,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[2,4,3,6,8,1,7,5]=>[6,3,2,8,7,1,5,4]=>[4,5,1,7,8,2,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]
[4,6,5,2,8,7,3,1]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[4,6,5,2,8,7,1,3]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[4,6,2,5,8,7,1,3]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[4,6,2,5,8,7,3,1]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[2,4,6,3,8,1,7,5]=>[6,4,8,2,7,1,5,3]=>[3,5,1,7,2,8,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[2,4,6,3,1,8,7,5]=>[5,4,8,2,1,7,6,3]=>[3,6,7,1,2,8,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[2,4,1,6,3,8,7,5]=>[3,5,1,8,2,7,6,4]=>[4,6,7,2,8,1,5,3]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[2,1,4,6,3,8,7,5]=>[2,1,5,8,3,7,6,4]=>[4,6,7,3,8,5,1,2]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]
[2,1,4,6,8,3,7,5]=>[2,1,6,8,7,3,5,4]=>[4,5,3,7,8,6,1,2]=>[[[.,[.,.]],.],[.,[[.,.],[.,.]]]]
[2,4,1,6,8,3,7,5]=>[3,6,1,8,7,2,5,4]=>[4,5,2,7,8,1,6,3]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]
[2,4,6,1,8,3,7,5]=>[4,6,8,1,7,2,5,3]=>[3,5,2,7,1,8,6,4]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[2,4,6,8,1,3,7,5]=>[5,6,8,7,1,2,4,3]=>[3,4,2,1,7,8,6,5]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]
[2,4,6,8,3,1,7,5]=>[6,5,8,7,2,1,4,3]=>[3,4,1,2,7,8,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]
[4,6,2,8,5,7,3,1]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[4,6,2,8,5,7,1,3]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[6,2,4,8,7,1,3,5]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[6,4,2,8,7,5,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,6,4,8,1,7,5,3]=>[5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[2,6,4,1,8,7,5,3]=>[4,8,7,1,6,5,3,2]=>[2,3,5,6,1,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[2,6,1,4,8,7,5,3]=>[3,8,1,7,6,5,4,2]=>[2,4,5,6,7,1,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[2,1,6,4,8,7,5,3]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,6,4,8,7,3,5]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,6,1,4,8,7,3,5]=>[3,8,1,7,6,5,4,2]=>[2,4,5,6,7,1,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[2,6,4,1,8,7,3,5]=>[4,8,7,1,6,5,3,2]=>[2,3,5,6,1,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[2,6,4,8,1,7,3,5]=>[5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[6,4,2,8,7,5,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,2,4,8,7,3,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,2,4,8,7,3,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,6,4,7,3,8,2,5]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,3,7,4,5,8,2,6]=>[1,7,8,4,5,6,2,3]=>[3,2,6,5,4,8,7,1]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]
[5,2,4,7,3,6,8,1]=>[8,5,3,6,2,4,7,1]=>[1,7,4,2,6,3,5,8]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[1,7,6,3,4,8,2,5]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[8,1,6,3,7,2,4,5]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,1,6,3,8,2,4,5]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,2,7,4,8,3,5,6]=>[1,2,8,6,7,4,5,3]=>[3,5,4,7,6,8,2,1]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[6,1,7,3,4,8,2,5]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[2,1,7,4,5,8,3,6]=>[2,1,8,7,5,6,4,3]=>[3,4,6,5,7,8,1,2]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[5,1,4,7,3,8,2,6]=>[7,2,5,8,3,6,1,4]=>[4,1,6,3,8,5,2,7]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[4,3,1,7,5,8,2,6]=>[7,3,2,8,5,6,1,4]=>[4,1,6,5,8,2,3,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[6,8,1,3,7,2,4,5]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,8,2,1,7,3,4,6]=>[7,8,4,3,6,5,1,2]=>[2,1,5,6,3,4,8,7]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]
[5,7,2,1,8,3,4,6]=>[7,8,4,3,6,5,1,2]=>[2,1,5,6,3,4,8,7]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]
[6,7,1,3,8,2,4,5]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,1,2,4,8,3,6,7]=>[6,2,3,4,8,1,7,5]=>[5,7,1,8,4,3,2,6]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]
[4,3,6,1,5,8,2,7]=>[7,4,5,2,3,8,1,6]=>[6,1,8,3,2,5,4,7]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]
[2,6,1,4,5,8,3,7]=>[3,7,1,5,4,8,2,6]=>[6,2,8,4,5,1,7,3]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]
[6,5,1,3,4,8,2,7]=>[7,5,3,4,2,8,1,6]=>[6,1,8,2,4,3,5,7]=>[[.,[.,[[.,.],[.,.]]]],[[.,.],.]]
[8,5,1,3,7,2,4,6]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,5,3,2,8,4,6,7]=>[1,6,4,3,8,2,7,5]=>[5,7,2,8,3,4,6,1]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[6,4,2,1,5,8,3,7]=>[7,5,4,3,2,8,1,6]=>[6,1,8,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[2,5,3,4,1,8,6,7]=>[5,4,3,2,1,8,7,6]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[4,3,5,2,1,8,6,7]=>[5,4,3,2,1,8,7,6]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[2,6,4,8,7,1,3,5]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[1,6,4,8,7,2,3,5]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,3,2,8,7,1,5,6]=>[6,3,2,8,7,1,5,4]=>[4,5,1,7,8,2,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]
[5,2,4,8,7,1,3,6]=>[7,6,3,8,5,2,1,4]=>[4,1,2,5,8,3,6,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[6,2,8,3,7,1,4,5]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[5,1,4,8,7,2,3,6]=>[7,2,6,8,5,3,1,4]=>[4,1,3,5,8,6,2,7]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]
[4,8,2,5,1,3,7,6]=>[6,8,5,4,3,1,7,2]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[4,7,2,5,1,3,8,6]=>[6,8,5,4,3,1,7,2]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[8,3,2,1,5,4,6,7]=>[8,4,3,2,6,5,7,1]=>[1,7,5,6,2,3,4,8]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[8,3,2,1,6,4,5,7]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[8,4,2,5,1,6,3,7]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,3,2,1,5,6,4,7]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[3,8,2,1,4,5,7,6]=>[4,8,3,1,5,6,7,2]=>[2,7,6,5,1,3,8,4]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]
[3,7,2,1,4,5,8,6]=>[4,8,3,1,5,6,7,2]=>[2,7,6,5,1,3,8,4]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]
[3,2,7,1,4,6,8,5]=>[4,2,8,1,5,6,7,3]=>[3,7,6,5,1,8,2,4]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]
[3,8,2,1,4,7,5,6]=>[4,8,3,1,5,7,6,2]=>[2,6,7,5,1,3,8,4]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]
[3,8,2,1,5,7,4,6]=>[4,8,3,1,7,6,5,2]=>[2,5,6,7,1,3,8,4]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[4,8,2,5,1,7,3,6]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[4,7,2,5,1,8,3,6]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[3,7,2,1,5,8,4,6]=>[4,8,3,1,7,6,5,2]=>[2,5,6,7,1,3,8,4]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[3,7,2,1,4,8,5,6]=>[4,8,3,1,5,7,6,2]=>[2,6,7,5,1,3,8,4]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]
[3,2,1,7,5,8,6,4]=>[3,2,1,8,7,6,5,4]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[3,2,7,1,6,8,4,5]=>[4,2,8,1,7,6,5,3]=>[3,5,6,7,1,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[4,2,7,6,1,8,3,5]=>[7,5,8,4,2,6,1,3]=>[3,1,6,2,4,8,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[4,3,8,6,7,1,2,5]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[4,2,8,6,1,7,3,5]=>[7,5,8,6,2,4,1,3]=>[3,1,4,2,6,8,5,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[3,2,8,1,6,7,4,5]=>[4,2,8,1,7,6,5,3]=>[3,5,6,7,1,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[3,2,1,8,7,5,6,4]=>[3,2,1,8,7,6,5,4]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[3,8,2,1,7,4,5,6]=>[4,8,3,1,7,6,5,2]=>[2,5,6,7,1,3,8,4]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[3,2,8,1,7,4,6,5]=>[4,2,8,1,7,6,5,3]=>[3,5,6,7,1,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[3,2,8,1,6,4,7,5]=>[4,2,8,1,7,6,5,3]=>[3,5,6,7,1,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[4,2,7,6,1,3,8,5]=>[6,5,8,4,2,1,7,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[4,2,8,6,1,3,7,5]=>[6,5,8,7,2,1,4,3]=>[3,4,1,2,7,8,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]
[4,2,8,7,1,3,6,5]=>[6,5,8,7,2,1,4,3]=>[3,4,1,2,7,8,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]
[5,7,8,3,4,1,2,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[4,2,7,8,1,3,6,5]=>[6,5,8,7,2,1,4,3]=>[3,4,1,2,7,8,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]
[4,2,6,8,1,3,7,5]=>[6,5,8,7,2,1,4,3]=>[3,4,1,2,7,8,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]
[4,2,6,7,1,3,8,5]=>[6,5,8,4,2,1,7,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[3,2,6,1,8,4,7,5]=>[4,2,8,1,7,6,5,3]=>[3,5,6,7,1,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[3,7,2,1,8,4,5,6]=>[4,8,3,1,7,6,5,2]=>[2,5,6,7,1,3,8,4]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[3,7,2,1,8,5,4,6]=>[4,8,3,1,7,6,5,2]=>[2,5,6,7,1,3,8,4]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[4,7,3,8,5,1,2,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[4,3,7,8,6,1,2,5]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[3,2,7,1,8,6,4,5]=>[4,2,8,1,7,6,5,3]=>[3,5,6,7,1,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[3,2,1,6,8,5,7,4]=>[3,2,1,8,7,6,5,4]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[3,2,6,1,8,7,4,5]=>[4,2,8,1,7,6,5,3]=>[3,5,6,7,1,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[4,2,6,8,1,7,3,5]=>[7,5,8,6,2,4,1,3]=>[3,1,4,2,6,8,5,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[4,3,6,8,7,1,2,5]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[4,2,6,7,1,8,3,5]=>[7,5,8,4,2,6,1,3]=>[3,1,6,2,4,8,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[3,2,6,1,7,8,4,5]=>[4,2,8,1,7,6,5,3]=>[3,5,6,7,1,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[3,4,6,8,7,5,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,3,6,4,8,7,1,2]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[1,4,6,2,7,8,5,3]=>[1,8,7,4,5,6,3,2]=>[2,3,6,5,4,7,8,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[1,2,7,5,4,8,6,3]=>[1,2,8,7,5,6,4,3]=>[3,4,6,5,7,8,2,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[6,3,7,5,4,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,3,8,5,4,6,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,8,7,5,4,6,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,3,6,7,8,5,1,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,5,6,3,8,7,1,2]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[3,6,8,5,4,7,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,3,5,4,7,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,3,5,4,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,1,2,5,8,3,6,4]=>[8,2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[1,8,2,5,7,3,6,4]=>[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[6,2,1,5,4,8,7,3]=>[8,3,2,5,4,7,6,1]=>[1,6,7,4,5,2,3,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[4,1,6,2,8,7,5,3]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,8,1,2,4,6,5,3]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[7,8,3,1,4,2,6,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,3,6,1,8,2,7,5]=>[6,4,8,2,7,1,5,3]=>[3,5,1,7,2,8,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[4,8,1,5,2,3,7,6]=>[6,8,3,5,4,1,7,2]=>[2,7,1,4,5,3,8,6]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[7,5,1,6,4,3,2,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[5,8,1,6,4,3,2,7]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[1,5,8,6,4,3,2,7]=>[1,7,8,6,5,4,2,3]=>[3,2,4,5,6,8,7,1]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[3,4,6,1,5,8,2,7]=>[7,4,5,2,3,8,1,6]=>[6,1,8,3,2,5,4,7]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]
[7,8,4,1,5,3,2,6]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,8,5,1,6,3,2,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,6,1,5,7,3,8,4]=>[3,8,1,6,5,4,7,2]=>[2,7,4,5,6,1,8,3]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[1,6,8,7,4,3,2,5]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,8,1,7,4,3,2,5]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,6,1,7,4,3,2,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[6,1,7,8,4,3,2,5]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,1,8,6,4,3,2,5]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,8,7,6,4,3,2,5]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,1,7,5,6,3,8,4]=>[2,1,8,6,5,4,7,3]=>[3,7,4,5,6,8,1,2]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[3,1,6,7,5,8,2,4]=>[7,2,8,5,4,6,1,3]=>[3,1,6,4,5,8,2,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[7,8,1,6,5,3,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,8,2,1,4,5,6,3]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[2,8,1,5,4,6,7,3]=>[3,8,1,7,5,6,4,2]=>[2,4,6,5,7,1,8,3]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,2,8,5,6,3,7,4]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[4,2,1,5,6,3,7,8]=>[6,3,2,4,5,1,7,8]=>[8,7,1,5,4,2,3,6]=>[[[.,[[[.,[.,.]],.],[.,.]]],.],.]
[4,3,6,1,5,7,2,8]=>[7,4,5,2,3,6,1,8]=>[8,1,6,3,2,5,4,7]=>[[.,[[[.,.],[[.,.],.]],[.,.]]],.]
[5,1,6,3,7,8,2,4]=>[8,2,7,4,5,6,3,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[1,3,6,8,5,7,2,4]=>[1,7,8,6,5,4,2,3]=>[3,2,4,5,6,8,7,1]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[2,4,6,3,7,1,8,5]=>[6,4,8,2,5,1,7,3]=>[3,7,1,5,2,8,4,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[4,1,6,7,3,8,2,5]=>[7,2,8,5,4,6,1,3]=>[3,1,6,4,5,8,2,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[5,4,6,1,3,7,2,8]=>[7,5,4,3,2,6,1,8]=>[8,1,6,2,3,4,5,7]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[6,4,1,5,2,3,7,8]=>[6,5,3,4,2,1,7,8]=>[8,7,1,2,4,3,5,6]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[1,2,4,5,8,3,7,6]=>[1,2,6,4,8,3,7,5]=>[5,7,3,8,4,6,2,1]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]
[7,2,3,5,4,1,8,6]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[2,8,3,5,4,1,7,6]=>[6,8,3,5,4,1,7,2]=>[2,7,1,4,5,3,8,6]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[4,2,6,3,8,1,7,5]=>[6,4,8,2,7,1,5,3]=>[3,5,1,7,2,8,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[7,8,2,3,4,1,6,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,8,1,4,6,3,2,5]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,1,6,4,7,8,2,5]=>[7,2,8,4,5,6,1,3]=>[3,1,6,5,4,8,2,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[1,8,5,7,4,3,2,6]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,1,5,8,4,3,2,6]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,1,8,7,4,3,2,6]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[6,5,1,8,4,3,2,7]=>[7,6,3,8,5,2,1,4]=>[4,1,2,5,8,3,6,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[6,5,7,1,4,3,2,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,5,8,1,4,3,2,6]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,8,7,1,4,3,2,6]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[1,5,7,8,4,3,2,6]=>[1,7,8,6,5,4,2,3]=>[3,2,4,5,6,8,7,1]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[2,4,7,5,1,3,8,6]=>[5,6,8,4,1,2,7,3]=>[3,7,2,1,4,8,6,5]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]
[7,8,4,6,1,3,2,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,5,4,1,3,2,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,5,6,4,1,8,2,7]=>[7,5,4,3,2,8,1,6]=>[6,1,8,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[2,6,4,5,1,3,8,7]=>[5,6,4,3,1,2,8,7]=>[7,8,2,1,3,4,6,5]=>[[[.,.],[.,[.,[[.,.],.]]]],[.,.]]
[6,8,5,1,4,3,2,7]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[7,6,5,1,4,3,2,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,2,3,4,5,6,9,7,8]=>[1,2,3,4,5,6,9,8,7]=>[7,8,9,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],[.,[.,.]]]
[1,2,3,4,5,8,6,9,7]=>[1,2,3,4,5,9,7,8,6]=>[6,8,7,9,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],[[.,.],[.,.]]]
[1,2,3,4,7,5,8,9,6]=>[1,2,3,4,9,6,7,8,5]=>[5,8,7,6,9,4,3,2,1]=>[[[[[.,.],.],.],.],[[[.,.],.],[.,.]]]
[1,2,3,6,4,7,8,9,5]=>[1,2,3,9,5,6,7,8,4]=>[4,8,7,6,5,9,3,2,1]=>[[[[.,.],.],.],[[[[.,.],.],.],[.,.]]]
[1,2,5,3,6,7,8,9,4]=>[1,2,9,4,5,6,7,8,3]=>[3,8,7,6,5,4,9,2,1]=>[[[.,.],.],[[[[[.,.],.],.],.],[.,.]]]
[1,4,2,5,6,7,8,9,3]=>[1,9,3,4,5,6,7,8,2]=>[2,8,7,6,5,4,3,9,1]=>[[.,.],[[[[[[.,.],.],.],.],.],[.,.]]]
[6,7,8,9,1,2,3,4,5]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,6,7,8,1,2,3,4,5]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[8,9,6,7,1,2,3,4,5]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,8,6,7,1,2,3,4,5]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,8,7,6,1,2,3,4,5]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,5,6,7,8,1,2,3,4]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[8,9,5,6,7,1,2,3,4]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,8,5,6,7,1,2,3,4]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,7,8,5,6,1,2,3,4]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,8,7,5,6,1,2,3,4]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,8,7,6,5,1,2,3,4]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[7,8,9,4,5,6,1,2,3]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,7,8,4,5,6,1,2,3]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,8,7,4,5,6,1,2,3]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[8,9,6,7,4,5,1,2,3]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,8,6,7,4,5,1,2,3]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,8,7,6,4,5,1,2,3]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,8,7,6,5,4,1,2,3]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,7,8,5,6,3,4,1,2]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,8,7,5,6,3,4,1,2]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,8,7,6,5,3,4,1,2]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,8,7,6,5,4,3,1,2]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[7,8,9,10,1,2,3,4,5,6]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[10,7,8,9,1,2,3,4,5,6]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[9,10,7,8,1,2,3,4,5,6]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[10,9,7,8,1,2,3,4,5,6]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[10,9,8,7,1,2,3,4,5,6]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[10,6,7,8,9,1,2,3,4,5]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,10,6,7,8,1,2,3,4,5]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,6,7,8,1,2,3,4,5]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,8,9,6,7,1,2,3,4,5]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,8,6,7,1,2,3,4,5]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,8,7,6,1,2,3,4,5]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,10,5,6,7,8,1,2,3,4]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,5,6,7,8,1,2,3,4]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,9,10,5,6,7,1,2,3,4]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,8,5,6,7,1,2,3,4]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,10,7,8,5,6,1,2,3,4]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,7,8,5,6,1,2,3,4]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,8,7,5,6,1,2,3,4]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,8,7,6,5,1,2,3,4]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,7,8,9,4,5,6,1,2,3]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,10,7,8,4,5,6,1,2,3]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,7,8,4,5,6,1,2,3]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,8,7,4,5,6,1,2,3]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,8,9,6,7,4,5,1,2,3]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,8,6,7,4,5,1,2,3]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,8,7,6,4,5,1,2,3]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,8,7,6,5,4,1,2,3]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,10,7,8,5,6,3,4,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,7,8,5,6,3,4,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,8,7,5,6,3,4,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,8,7,6,5,3,4,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,8,7,6,5,4,3,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[3,4,6,2,7,1,5,8]=>[6,4,7,2,5,1,3,8]=>[8,3,1,5,2,7,4,6]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[3,6,2,5,4,1,7,8]=>[6,5,3,4,2,1,7,8]=>[8,7,1,2,4,3,5,6]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[3,2,7,5,4,1,6,8]=>[6,2,7,5,4,1,3,8]=>[8,3,1,4,5,7,2,6]=>[[[.,[.,.]],[.,[.,[[.,.],.]]]],.]
[4,3,6,2,8,1,5,7]=>[6,4,7,2,8,1,3,5]=>[5,3,1,8,2,7,4,6]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]
[6,1,2,5,4,7,8,3]=>[8,2,3,5,4,6,7,1]=>[1,7,6,4,5,3,2,8]=>[.,[[[[[.,.],.],[.,.]],.],[.,.]]]
[6,2,4,5,1,3,7,8]=>[6,5,4,3,2,1,7,8]=>[8,7,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[4,2,8,5,1,3,7,6]=>[6,5,8,4,2,1,7,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[4,3,6,8,1,7,2,5]=>[7,5,8,6,2,4,1,3]=>[3,1,4,2,6,8,5,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[5,3,6,4,1,7,2,8]=>[7,5,4,3,2,6,1,8]=>[8,1,6,2,3,4,5,7]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[6,2,1,5,8,3,7,4]=>[8,3,2,6,7,4,5,1]=>[1,5,4,7,6,2,3,8]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]
[1,6,7,4,8,3,5,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,4,6,3,7,5,8,2]=>[1,8,6,4,5,3,7,2]=>[2,7,3,5,4,6,8,1]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[4,6,7,2,5,8,1,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,4,6,1,7,5,3,8]=>[4,7,6,1,5,3,2,8]=>[8,2,3,5,1,6,7,4]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[7,5,4,6,2,8,1,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[1,7,5,4,3,8,6,2]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,5,8,4,3,6,7,2]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[5,4,6,2,7,8,1,3]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[2,5,4,1,6,7,3,8]=>[4,7,3,1,5,6,2,8]=>[8,2,6,5,1,3,7,4]=>[[[.,.],[[[.,[.,.]],.],[.,.]]],.]
[5,6,3,2,7,1,4,8]=>[7,6,4,3,5,2,1,8]=>[8,1,2,5,3,4,6,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[5,6,3,2,7,1,8,4]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[8,5,6,3,2,7,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,4,6,2,8,1,7,3]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[2,4,1,7,8,5,3,6]=>[3,7,1,8,6,5,2,4]=>[4,2,5,6,8,1,7,3]=>[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]
[5,6,3,2,1,8,4,7]=>[7,5,4,3,2,8,1,6]=>[6,1,8,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[3,5,2,1,6,4,7,8]=>[4,6,3,1,5,2,7,8]=>[8,7,2,5,1,3,6,4]=>[[[[.,.],[[.,[.,.]],[.,.]]],.],.]
[6,8,4,3,2,1,5,7]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[5,3,8,2,1,6,4,7]=>[7,5,8,4,2,6,1,3]=>[3,1,6,2,4,8,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[3,7,5,8,2,1,4,6]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[7,3,2,8,5,1,6,4]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[8,4,6,3,2,1,7,5]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[8,6,4,3,2,1,7,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,4,3,2,1,8,5]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,8,4,3,2,1,6,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,4,7,2,1,8,6,3]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[7,5,8,3,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,7,3,2,1,6,8,4]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,7,3,2,1,6,4,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,3,7,2,5,1,8,4]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,7,8,3,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,2,5,7,8,4,1,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,1,5,7,8,6,3,4]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[6,3,7,2,8,1,4,5]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[3,2,6,1,7,4,5,8]=>[4,2,7,1,6,5,3,8]=>[8,3,5,6,1,7,2,4]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[3,5,2,1,4,7,6,8]=>[4,5,3,1,2,7,6,8]=>[8,6,7,2,1,3,5,4]=>[[[[.,.],[.,[[.,.],.]]],[.,.]],.]
[7,3,5,2,1,8,4,6]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[2,5,8,4,1,3,7,6]=>[5,6,8,4,1,2,7,3]=>[3,7,2,1,4,8,6,5]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]
[2,4,1,7,8,3,6,5]=>[3,6,1,8,7,2,5,4]=>[4,5,2,7,8,1,6,3]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]
[3,7,2,8,6,1,4,5]=>[6,8,3,7,5,1,4,2]=>[2,4,1,5,7,3,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[3,6,8,2,1,7,4,5]=>[5,8,7,4,1,6,3,2]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[5,3,8,2,1,4,7,6]=>[6,5,8,4,2,1,7,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[4,8,7,3,2,1,5,6]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[8,4,7,3,2,1,5,6]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[8,3,5,2,1,4,7,6]=>[8,5,6,4,2,3,7,1]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[7,3,2,8,6,1,4,5]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[3,5,2,1,4,6,8,7]=>[4,5,3,1,2,6,8,7]=>[7,8,6,2,1,3,5,4]=>[[[[.,.],[.,[[.,.],.]]],.],[.,.]]
[7,8,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[9,1,2,3,4,5,6,7,8]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[1,8,9,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,9,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[10,1,2,3,4,5,6,7,8,9]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[7,6,8,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[9,1,2,3,4,5,6,7,8]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[6,8,7,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[9,1,2,3,4,5,6,7,8]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[1,8,7,9,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,7,9,8,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,9,10,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[7,8,3,5,4,6,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,4,1,6,3,2,8,7]=>[6,5,3,4,2,1,8,7]=>[7,8,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]
[5,4,1,6,2,3,8,7]=>[6,5,3,4,2,1,8,7]=>[7,8,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]
[5,7,1,6,2,8,3,4]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[5,7,1,6,2,8,4,3]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[2,7,6,5,1,8,3,4]=>[5,8,7,4,1,6,3,2]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[2,7,6,5,1,8,4,3]=>[5,8,7,4,1,6,3,2]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[2,3,6,5,1,4,8,7]=>[5,2,6,4,1,3,8,7]=>[7,8,3,1,4,6,2,5]=>[[[.,[.,.]],[.,[[.,.],.]]],[.,.]]
[2,3,6,4,1,5,8,7]=>[5,2,6,4,1,3,8,7]=>[7,8,3,1,4,6,2,5]=>[[[.,[.,.]],[.,[[.,.],.]]],[.,.]]
[2,7,6,1,4,8,5,3]=>[4,8,7,1,5,6,3,2]=>[2,3,6,5,1,7,8,4]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[2,7,6,1,4,8,3,5]=>[4,8,7,1,5,6,3,2]=>[2,3,6,5,1,7,8,4]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[7,3,5,1,8,4,2,6]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,3,5,1,8,6,4,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,7,6,1,5,8,4,3]=>[4,8,7,1,5,6,3,2]=>[2,3,6,5,1,7,8,4]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[2,7,6,4,1,8,5,3]=>[5,8,7,4,1,6,3,2]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[2,1,7,6,3,8,5,4]=>[2,1,8,7,5,6,4,3]=>[3,4,6,5,7,8,1,2]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[2,1,7,6,3,8,4,5]=>[2,1,8,7,5,6,4,3]=>[3,4,6,5,7,8,1,2]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[5,7,3,6,2,8,4,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,7,6,4,1,8,3,5]=>[5,8,7,4,1,6,3,2]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[7,3,5,1,8,6,2,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,3,5,1,8,2,4,7]=>[7,6,4,3,8,2,1,5]=>[5,1,2,8,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[2,3,4,8,5,7,1,6]=>[7,2,3,8,5,6,1,4]=>[4,1,6,5,8,3,2,7]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[7,3,5,4,8,1,2,6]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,4,3,5,8,7,2,1]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[2,1,4,5,8,7,3,6]=>[2,1,7,4,8,6,3,5]=>[5,3,6,8,4,7,1,2]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]
[6,4,3,5,8,7,1,2]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[7,3,5,4,8,1,6,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,3,4,8,7,5,6,1]=>[8,2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[2,7,6,5,4,8,1,3]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[7,3,5,6,8,4,1,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,3,5,6,8,1,4,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,3,5,6,8,1,2,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,4,1,5,8,7,2,3]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[6,4,1,5,8,7,3,2]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[6,4,1,5,8,3,7,2]=>[8,6,3,4,7,2,5,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[5,7,1,6,3,8,2,4]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[7,4,1,5,8,2,3,6]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,4,1,5,8,2,6,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,3,5,7,8,2,1,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,3,5,7,8,2,4,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,7,6,4,5,8,3,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,7,3,6,1,8,4,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,1,4,5,8,6,3,7]=>[2,1,7,4,8,6,3,5]=>[5,3,6,8,4,7,1,2]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]
[7,3,5,4,8,6,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,3,4,8,5,6,1,7]=>[7,2,3,8,5,6,1,4]=>[4,1,6,5,8,3,2,7]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[2,3,4,8,1,7,6,5]=>[5,2,3,8,1,7,6,4]=>[4,6,7,1,8,3,2,5]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]
[2,3,4,8,1,6,7,5]=>[5,2,3,8,1,7,6,4]=>[4,6,7,1,8,3,2,5]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]
[2,3,4,8,5,1,7,6]=>[6,2,3,8,5,1,7,4]=>[4,7,1,5,8,3,2,6]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]
[6,3,5,4,8,2,7,1]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[7,4,3,5,8,2,1,6]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,1,4,5,8,3,7,6]=>[2,1,6,4,8,3,7,5]=>[5,7,3,8,4,6,1,2]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[7,4,3,5,8,2,6,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,3,5,4,8,2,1,7]=>[7,6,4,3,8,2,1,5]=>[5,1,2,8,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[2,3,4,8,5,1,6,7]=>[6,2,3,8,5,1,7,4]=>[4,7,1,5,8,3,2,6]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]
[2,3,4,8,1,6,5,7]=>[5,2,3,8,1,7,6,4]=>[4,6,7,1,8,3,2,5]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]
[2,3,4,8,1,5,7,6]=>[5,2,3,8,1,6,7,4]=>[4,7,6,1,8,3,2,5]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]
[7,8,2,6,1,5,3,4]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[7,8,1,6,2,5,3,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,8,6,7,2,5,3,4]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,5,7,2,6,3,4]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,8,1,7,2,6,3,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,8,2,7,1,6,3,4]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[2,8,6,7,1,5,3,4]=>[5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[2,8,5,7,1,6,3,4]=>[5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[2,8,1,7,5,6,3,4]=>[3,8,1,7,6,5,4,2]=>[2,4,5,6,7,1,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,8,2,7,5,6,3,4]=>[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,8,2,7,4,6,3,5]=>[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[2,8,1,7,4,6,3,5]=>[3,8,1,7,6,5,4,2]=>[2,4,5,6,7,1,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[2,8,4,7,1,6,3,5]=>[5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[4,8,2,7,1,6,3,5]=>[7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[4,8,1,7,2,6,3,5]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[1,8,4,7,2,6,3,5]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,8,1,7,5,6,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,8,4,7,5,6,2,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,3,7,5,6,2,4]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,8,1,7,5,6,2,4]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[3,8,1,7,4,6,2,5]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[1,8,3,7,4,6,2,5]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,3,7,2,6,4,5]=>[1,8,5,7,3,6,4,2]=>[2,4,6,3,7,5,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[3,8,1,7,2,6,4,5]=>[5,8,3,7,1,6,4,2]=>[2,4,6,1,7,3,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[3,8,2,7,1,6,4,5]=>[5,8,3,7,1,6,4,2]=>[2,4,6,1,7,3,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[3,8,2,7,4,6,1,5]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[3,8,2,7,5,6,1,4]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[4,8,2,7,5,6,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,3,7,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,8,4,7,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,8,4,7,5,6,1,3]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[2,8,3,7,5,6,1,4]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[2,8,3,7,4,6,1,5]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[2,8,3,7,1,6,4,5]=>[5,8,3,7,1,6,4,2]=>[2,4,6,1,7,3,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[2,8,1,7,3,6,4,5]=>[3,8,1,7,5,6,4,2]=>[2,4,6,5,7,1,8,3]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[7,5,2,8,6,4,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,5,1,8,6,2,3,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,4,8,6,1,5,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,1,8,4,5,2,6,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,8,1,7,4,2,5,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,6,7,4,2,8,5,3]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,6,7,3,8,5,2,4]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,1,8,3,5,6,2,4]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,3,8,6,2,5,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,4,2,8,6,1,3,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,3,1,8,4,2,5,6]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[7,2,8,4,1,5,3,6]=>[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[7,2,8,3,5,1,6,4]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[7,2,8,3,4,6,1,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,5,7,8,2,6,3,4]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,2,3,8,5,7,4,1]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,2,4,8,5,3,1,7]=>[7,6,5,8,3,2,1,4]=>[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[2,6,3,7,8,5,4,1]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,6,3,7,8,4,5,1]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,4,7,3,5,6,8,1]=>[8,4,6,2,5,3,7,1]=>[1,7,3,5,2,6,4,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[2,4,7,3,6,8,5,1]=>[8,4,7,2,5,6,3,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[2,5,3,7,8,1,6,4]=>[6,8,3,7,5,1,4,2]=>[2,4,1,5,7,3,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[3,1,5,4,7,8,2,6]=>[7,2,4,3,8,6,1,5]=>[5,1,6,8,3,4,2,7]=>[[.,[[.,.],[.,.]]],[.,[[.,.],.]]]
[5,3,1,4,8,2,6,7]=>[6,4,3,2,8,1,7,5]=>[5,7,1,8,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[5,2,4,8,6,1,3,7]=>[7,6,3,8,5,2,1,4]=>[4,1,2,5,8,3,6,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[5,2,3,8,4,6,7,1]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[4,8,2,3,6,1,7,5]=>[6,8,4,3,7,1,5,2]=>[2,5,1,7,3,4,8,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[4,8,2,3,5,7,1,6]=>[7,8,4,3,5,6,1,2]=>[2,1,6,5,3,4,8,7]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]
[1,4,7,8,3,6,2,5]=>[1,7,8,6,5,4,2,3]=>[3,2,4,5,6,8,7,1]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[4,8,1,3,6,7,2,5]=>[7,8,3,4,6,5,1,2]=>[2,1,5,6,4,3,8,7]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]
[5,3,8,2,4,7,1,6]=>[7,5,8,4,2,6,1,3]=>[3,1,6,2,4,8,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[5,4,3,8,1,2,7,6]=>[6,5,3,8,2,1,7,4]=>[4,7,1,2,8,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[6,4,2,8,1,3,7,5]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[6,3,8,2,5,1,7,4]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[6,3,8,1,4,7,2,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,8,1,3,6,2,7,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,8,1,4,2,6,3,7]=>[7,8,3,5,4,6,1,2]=>[2,1,6,4,5,3,8,7]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[5,8,4,1,2,7,6,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,5,1,2,8,7,3,4]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[6,5,3,1,4,2,8,7]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[5,3,1,6,4,2,7,8]=>[6,5,3,4,2,1,7,8]=>[8,7,1,2,4,3,5,6]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[5,2,6,4,1,7,3,8]=>[7,5,4,3,2,6,1,8]=>[8,1,6,2,3,4,5,7]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[4,6,1,7,5,2,8,3]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[4,5,1,7,2,6,3,8]=>[7,5,3,6,2,4,1,8]=>[8,1,4,2,6,3,5,7]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[3,5,6,1,2,8,7,4]=>[5,8,4,3,1,7,6,2]=>[2,6,7,1,3,4,8,5]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[3,5,7,1,8,6,2,4]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[3,6,2,7,5,1,8,4]=>[6,8,3,5,4,1,7,2]=>[2,7,1,4,5,3,8,6]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[4,2,5,7,1,8,6,3]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[3,4,7,2,8,6,1,5]=>[7,4,8,2,6,5,1,3]=>[3,1,5,6,2,8,4,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[3,4,5,8,2,7,1,6]=>[7,5,3,8,2,6,1,4]=>[4,1,6,2,8,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[3,4,6,2,8,1,5,7]=>[6,4,7,2,8,1,3,5]=>[5,3,1,8,2,7,4,6]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]
[3,5,2,6,8,1,7,4]=>[6,8,3,4,7,1,5,2]=>[2,5,1,7,4,3,8,6]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[4,2,5,6,1,3,8,7]=>[6,5,3,4,2,1,8,7]=>[7,8,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]
[4,3,1,2,5,6,8,7]=>[4,3,2,1,5,6,8,7]=>[7,8,6,5,1,2,3,4]=>[[[[.,[.,[.,[.,.]]]],.],.],[.,.]]
[5,3,6,8,4,7,2,1]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[3,7,2,5,4,8,6,1]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[8,4,2,5,7,3,6,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,7,2,5,8,3,6,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,2,6,8,4,3,7,1]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[3,1,6,5,4,8,2,7]=>[7,2,5,4,3,8,1,6]=>[6,1,8,3,4,5,2,7]=>[[.,[[.,.],[.,[.,.]]]],[[.,.],.]]
[4,1,6,5,8,3,2,7]=>[7,2,6,4,8,3,1,5]=>[5,1,3,8,4,6,2,7]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]
[5,1,6,8,4,3,2,7]=>[7,2,6,8,5,3,1,4]=>[4,1,3,5,8,6,2,7]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]
[8,5,4,7,6,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,7,1,8,4,3,2,6]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[2,7,1,5,4,3,8,6]=>[3,8,1,6,5,4,7,2]=>[2,7,4,5,6,1,8,3]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[8,4,1,5,7,3,2,6]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,5,6,7,1,3,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,6,1,7,3,2,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,3,6,1,4,7,2,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,7,6,1,4,3,8,5]=>[4,8,6,1,5,3,7,2]=>[2,7,3,5,1,6,8,4]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[6,7,8,5,1,3,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,7,6,8,2,3,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,7,2,8,4,3,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,8,2,4,3,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,7,6,2,8,3,5,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,3,6,2,4,7,5,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,7,6,2,4,8,5,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,7,3,8,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,7,3,5,8,6,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,7,2,1,4,3,6,5]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[8,7,3,1,4,6,2,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,7,6,3,2,5,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,3,5,1,6,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,2,5,1,3,6,4]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[8,2,6,5,1,3,7,4]=>[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[8,4,6,5,7,1,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,7,6,8,4,1,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,7,6,5,8,1,2,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,7,6,5,1,8,2,4]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[1,9,2,3,4,5,6,7,8]=>[1,9,3,4,5,6,7,8,2]=>[2,8,7,6,5,4,3,9,1]=>[[.,.],[[[[[[.,.],.],.],.],.],[.,.]]]
[3,6,4,8,7,5,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,6,4,3,8,7,1,2]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[1,6,2,4,7,8,5,3]=>[1,8,3,7,5,6,4,2]=>[2,4,6,5,7,3,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[3,6,2,4,8,1,5,7]=>[6,7,3,4,8,1,2,5]=>[5,2,1,8,4,3,7,6]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]
[3,4,7,2,8,1,6,5]=>[6,4,8,2,7,1,5,3]=>[3,5,1,7,2,8,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[1,4,7,2,5,8,6,3]=>[1,8,7,4,5,6,3,2]=>[2,3,6,5,4,7,8,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[7,3,8,4,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,5,6,4,8,7,1,2]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[4,6,8,5,3,7,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,5,3,4,7,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,8,5,2,7,3,6,4]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[4,2,7,5,1,8,6,3]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[7,8,1,4,2,6,5,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,3,6,4,8,2,5,7]=>[1,6,7,4,8,2,3,5]=>[5,3,2,8,4,7,6,1]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]
[4,1,7,5,3,2,6,8]=>[6,2,7,5,4,1,3,8]=>[8,3,1,4,5,7,2,6]=>[[[.,[.,.]],[.,[.,[[.,.],.]]]],.]
[6,5,1,3,4,2,8,7]=>[6,5,3,4,2,1,8,7]=>[7,8,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]
[4,8,5,3,1,7,2,6]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[7,4,5,3,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,8,3,6,1,4,2,7]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[2,5,8,6,4,1,3,7]=>[6,7,8,5,4,1,2,3]=>[3,2,1,4,5,8,7,6]=>[[[.,.],.],[.,[.,[[[.,.],.],.]]]]
[3,6,2,5,8,1,7,4]=>[6,8,3,4,7,1,5,2]=>[2,5,1,7,4,3,8,6]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[1,6,8,7,4,2,3,5]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,1,7,8,2,4,3,5]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,1,8,6,3,4,2,5]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,2,8,3,6,5,7,4]=>[1,2,8,4,7,6,5,3]=>[3,5,6,7,4,8,2,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[1,6,3,8,5,7,2,4]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,6,4,1,7,5,8,3]=>[4,8,6,1,5,3,7,2]=>[2,7,3,5,1,6,8,4]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[7,6,5,8,1,4,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,6,7,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,6,4,3,7,2,8,5]=>[1,8,6,4,5,3,7,2]=>[2,7,3,5,4,6,8,1]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[2,6,3,4,8,7,1,5]=>[7,8,3,4,6,5,1,2]=>[2,1,5,6,4,3,8,7]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]
[7,1,3,4,5,2,8,6]=>[8,2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[4,1,6,3,8,2,7,5]=>[6,2,8,4,7,1,5,3]=>[3,5,1,7,4,8,2,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[7,8,2,4,6,3,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,2,6,4,7,8,1,5]=>[7,2,8,4,5,6,1,3]=>[3,1,6,5,4,8,2,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[2,8,5,7,4,3,1,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[7,2,5,8,3,4,1,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,3,8,7,1,2,6,4]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[6,5,3,8,2,1,7,4]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[7,5,8,4,1,2,3,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,7,4,1,3,2,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[3,5,7,8,4,1,2,6]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[2,4,6,7,3,1,8,5]=>[6,5,8,4,2,1,7,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[7,8,4,6,3,1,2,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,6,4,5,3,8,1,7]=>[7,5,4,3,2,8,1,6]=>[6,1,8,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[3,6,5,8,4,2,1,7]=>[7,6,5,8,3,2,1,4]=>[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[5,6,8,4,2,3,1,7]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[6,8,5,4,3,1,2,7]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[6,1,4,2,8,5,7,3]=>[8,2,6,4,7,3,5,1]=>[1,5,3,7,4,6,2,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[4,8,6,5,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,5,1,2,4,7,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,7,5,8,2,1,4,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,7,5,8,2,6,4,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,3,8,5,7,6,2,4]=>[1,7,8,6,5,4,2,3]=>[3,2,4,5,6,8,7,1]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[6,3,8,5,7,1,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,3,1,5,6,2,7,4]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[6,8,5,2,1,4,7,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,8,2,5,6,1,7,4]=>[6,8,3,7,5,1,4,2]=>[2,4,1,5,7,3,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[2,8,1,5,6,3,7,4]=>[3,8,1,7,6,5,4,2]=>[2,4,5,6,7,1,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[8,1,2,5,6,3,7,4]=>[8,2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[1,8,2,5,7,6,3,4]=>[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[5,1,8,6,2,7,3,4]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,5,8,6,1,7,3,4]=>[5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[8,6,1,5,7,2,3,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,8,6,5,7,1,2,4]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[7,6,5,8,1,2,4,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,1,7,6,8,4,2,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,1,3,7,8,6,2,4]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,2,5,8,1,6,4,3]=>[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[3,2,8,5,7,6,1,4]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[8,2,1,5,7,6,3,4]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[5,2,8,6,1,7,3,4]=>[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[1,2,8,6,5,7,3,4]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[4,2,1,3,6,7,8,5]=>[4,3,2,1,8,6,7,5]=>[5,7,6,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[8,2,5,6,3,7,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,2,6,5,4,1,8,3]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,1,3,5,4,7,8,2]=>[8,2,5,4,3,6,7,1]=>[1,7,6,3,4,5,2,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[6,1,5,3,4,7,8,2]=>[8,2,5,4,3,6,7,1]=>[1,7,6,3,4,5,2,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[7,5,6,2,4,1,8,3]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,5,2,6,3,7,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,3,1,2,6,7,8,5]=>[4,3,2,1,8,6,7,5]=>[5,7,6,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[8,1,6,5,7,3,2,4]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,5,8,6,2,7,1,4]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[5,8,1,6,3,7,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,8,5,6,3,7,2,4]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,6,1,4,2,8,3]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,1,4,2,6,5,8,3]=>[8,2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[4,1,7,3,5,6,8,2]=>[8,2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[2,7,4,1,5,6,8,3]=>[4,8,6,1,5,3,7,2]=>[2,7,3,5,1,6,8,4]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[5,7,6,4,1,2,8,3]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,7,6,1,5,2,8,3]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[1,8,3,6,5,7,2,4]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,8,1,6,5,7,2,4]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[8,1,3,5,7,6,2,4]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,8,5,4,1,6,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,1,5,4,3,7,8,2]=>[8,2,5,4,3,6,7,1]=>[1,7,6,3,4,5,2,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[7,5,6,4,2,1,8,3]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,3,2,6,5,7,1,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,4,6,2,5,1,8,3]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,1,4,3,5,7,8,2]=>[8,2,5,4,3,6,7,1]=>[1,7,6,3,4,5,2,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[6,1,3,4,5,7,8,2]=>[8,2,5,4,3,6,7,1]=>[1,7,6,3,4,5,2,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[7,2,6,4,5,1,8,3]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,2,3,6,5,7,1,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,4,7,3,6,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,4,7,8,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,4,7,2,5,1,6,8]=>[6,4,7,2,5,1,3,8]=>[8,3,1,5,2,7,4,6]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[1,4,7,2,5,8,3,6]=>[1,7,8,4,5,6,2,3]=>[3,2,6,5,4,8,7,1]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]
[3,6,2,4,7,1,5,8]=>[6,7,3,4,5,1,2,8]=>[8,2,1,5,4,3,7,6]=>[[[.,.],[[[.,.],.],[[.,.],.]]],.]
[6,8,3,4,5,7,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,3,6,7,5,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,3,7,5,8,4,1,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,3,8,6,4,5,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,2,7,6,5,1,4,8]=>[6,2,7,5,4,1,3,8]=>[8,3,1,4,5,7,2,6]=>[[[.,[.,.]],[.,[.,[[.,.],.]]]],.]
[1,2,7,6,5,8,3,4]=>[1,2,8,7,5,6,4,3]=>[3,4,6,5,7,8,2,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[4,8,2,6,1,5,3,7]=>[7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[2,3,8,6,4,1,5,7]=>[6,2,8,7,5,1,4,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[4,3,6,2,5,1,8,7]=>[6,4,5,2,3,1,8,7]=>[7,8,1,3,2,5,4,6]=>[[.,[[.,.],[[.,.],[.,.]]]],[.,.]]
[7,8,3,2,5,1,4,6]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,8,1,2,5,6,3,4]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[4,1,6,2,5,7,3,8]=>[7,2,5,4,3,6,1,8]=>[8,1,6,3,4,5,2,7]=>[[.,[[[.,.],[.,[.,.]]],[.,.]]],.]
[6,1,2,5,8,7,3,4]=>[8,2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[2,1,8,6,4,7,3,5]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[7,1,3,6,8,4,2,5]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,8,3,6,7,4,5,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,1,5,8,3,6,2,4]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,1,8,7,2,3,6,4]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,1,5,7,4,2,8,3]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[3,1,6,4,7,2,5,8]=>[6,2,7,4,5,1,3,8]=>[8,3,1,5,4,7,2,6]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[2,4,7,5,1,8,3,6]=>[5,7,8,4,1,6,2,3]=>[3,2,6,1,4,8,7,5]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]
[6,5,7,1,4,2,3,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,8,5,1,3,4,2,7]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[2,8,3,4,5,1,7,6]=>[6,8,3,4,5,1,7,2]=>[2,7,1,5,4,3,8,6]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]
[6,2,4,3,1,5,7,8]=>[6,5,4,3,2,1,7,8]=>[8,7,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[4,2,8,3,1,7,5,6]=>[5,4,8,2,1,7,6,3]=>[3,6,7,1,2,8,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[1,3,7,4,8,2,5,6]=>[1,6,8,4,7,2,5,3]=>[3,5,2,7,4,8,6,1]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[5,3,7,4,1,6,2,8]=>[7,5,6,4,2,3,1,8]=>[8,1,3,2,4,6,5,7]=>[[.,[[.,.],[.,[[.,.],[.,.]]]]],.]
[2,4,7,3,6,1,8,5]=>[6,4,8,2,5,1,7,3]=>[3,7,1,5,2,8,4,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[5,8,7,6,3,1,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,5,6,8,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,4,7,1,6,5,3,8]=>[4,7,6,1,5,3,2,8]=>[8,2,3,5,1,6,7,4]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[1,2,7,8,5,4,3,6]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[4,2,1,3,6,5,8,7]=>[4,3,2,1,6,5,8,7]=>[7,8,5,6,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]
[2,8,1,4,5,6,3,7]=>[3,8,1,7,5,6,4,2]=>[2,4,6,5,7,1,8,3]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[7,2,1,5,4,6,3,8]=>[7,3,2,6,5,4,1,8]=>[8,1,4,5,6,2,3,7]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[4,2,6,1,8,5,3,7]=>[7,4,6,2,8,3,1,5]=>[5,1,3,8,2,6,4,7]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]
[7,8,2,1,4,5,3,6]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[7,8,4,1,5,3,6,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,4,6,1,5,8,7,2]=>[8,4,5,2,3,7,6,1]=>[1,6,7,3,2,5,4,8]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[7,5,1,6,4,3,8,2]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[5,8,1,6,3,4,7,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,5,1,8,2,7,4,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,8,1,7,5,2,3,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,6,1,8,5,3,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,6,1,7,4,8,2,3]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[3,6,1,5,7,4,2,8]=>[7,6,3,4,5,2,1,8]=>[8,1,2,5,4,3,6,7]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[2,5,6,1,7,4,8,3]=>[4,8,6,1,5,3,7,2]=>[2,7,3,5,1,6,8,4]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[3,1,7,5,6,4,8,2]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[5,1,7,6,4,8,3,2]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[6,1,7,8,5,3,4,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,1,8,6,5,4,2,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,6,5,7,3,4,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[1,6,4,7,5,8,2,3]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[8,5,3,6,2,7,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,3,7,4,6,8,2,5]=>[1,7,8,4,5,6,2,3]=>[3,2,6,5,4,8,7,1]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]
[4,7,5,6,3,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[1,7,6,5,4,8,2,3]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[8,1,6,5,7,2,4,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,2,7,6,8,3,4,5]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[6,1,7,5,3,8,2,4]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[2,1,7,5,6,8,3,4]=>[2,1,8,7,5,6,4,3]=>[3,4,6,5,7,8,1,2]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[5,4,1,7,6,8,2,3]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[4,8,5,6,2,7,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,8,6,4,2,7,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,5,2,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,8,6,3,7,4,5,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,8,1,6,2,4,5,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,8,1,4,7,2,5,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,8,4,1,7,2,6,5]=>[6,8,4,3,7,1,5,2]=>[2,5,1,7,3,4,8,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[3,7,4,1,8,5,2,6]=>[7,8,4,3,6,5,1,2]=>[2,1,5,6,3,4,8,7]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]
[6,7,1,4,8,3,2,5]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,7,1,8,4,5,3,6]=>[3,8,1,7,6,5,4,2]=>[2,4,5,6,7,1,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[6,5,1,4,3,8,2,7]=>[7,5,3,4,2,8,1,6]=>[6,1,8,2,4,3,5,7]=>[[.,[.,[[.,.],[.,.]]]],[[.,.],.]]
[8,5,1,3,7,2,6,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,4,2,1,7,3,6,5]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[7,4,2,1,8,5,3,6]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[1,5,4,2,8,3,6,7]=>[1,6,4,3,8,2,7,5]=>[5,7,2,8,3,4,6,1]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[6,4,3,1,5,8,2,7]=>[7,5,4,3,2,8,1,6]=>[6,1,8,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[3,7,6,8,4,5,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,7,6,8,5,3,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,7,6,8,5,4,2,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,4,8,6,7,5,2,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,4,8,6,7,3,5,1]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[7,3,8,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,4,8,5,6,7,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,3,5,8,4,7,2,1]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[5,4,3,8,6,7,2,1]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,4,2,8,7,3,6,1]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[6,2,5,8,7,3,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,2,8,5,7,4,6,1]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,3,8,7,5,6,2,4]=>[1,7,8,6,5,4,2,3]=>[3,2,4,5,6,8,7,1]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[2,1,8,7,4,6,3,5]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[3,1,8,5,7,6,2,4]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[6,1,5,8,7,4,2,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,4,1,8,7,6,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,8,6,7,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,7,5,6,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,2,1,6,3,5,8,7]=>[5,3,2,6,1,4,8,7]=>[7,8,4,1,6,2,3,5]=>[[[.,[.,[.,.]]],[[.,.],.]],[.,.]]
[6,2,1,4,3,5,8,7]=>[6,3,2,5,4,1,8,7]=>[7,8,1,4,5,2,3,6]=>[[.,[[.,[.,.]],[.,[.,.]]]],[.,.]]
[6,2,1,4,3,8,5,7]=>[7,3,2,5,4,8,1,6]=>[6,1,8,4,5,2,3,7]=>[[.,[[.,[.,.]],[.,.]]],[[.,.],.]]
[8,2,1,4,3,6,5,7]=>[8,3,2,5,4,7,6,1]=>[1,6,7,4,5,2,3,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[8,2,4,1,3,6,5,7]=>[8,4,5,2,3,7,6,1]=>[1,6,7,3,2,5,4,8]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[6,2,4,1,3,8,5,7]=>[7,4,5,2,3,8,1,6]=>[6,1,8,3,2,5,4,7]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]
[6,2,4,1,3,5,8,7]=>[6,4,5,2,3,1,8,7]=>[7,8,1,3,2,5,4,6]=>[[.,[[.,.],[[.,.],[.,.]]]],[.,.]]
[4,2,6,1,3,5,8,7]=>[5,4,6,2,1,3,8,7]=>[7,8,3,1,2,6,4,5]=>[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]
[2,1,6,4,3,5,8,7]=>[2,1,6,5,4,3,8,7]=>[7,8,3,4,5,6,1,2]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]
[2,6,1,4,3,5,8,7]=>[3,6,1,5,4,2,8,7]=>[7,8,2,4,5,1,6,3]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]
[2,6,4,1,3,5,8,7]=>[4,6,5,1,3,2,8,7]=>[7,8,2,3,1,5,6,4]=>[[[.,.],[.,[[.,.],[.,.]]]],[.,.]]
[4,6,2,1,3,5,8,7]=>[5,6,4,3,1,2,8,7]=>[7,8,2,1,3,4,6,5]=>[[[.,.],[.,[.,[[.,.],.]]]],[.,.]]
[6,4,2,1,3,5,8,7]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[8,4,2,1,3,6,5,7]=>[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[8,4,2,1,6,3,5,7]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[6,4,2,1,8,3,5,7]=>[7,6,4,3,8,2,1,5]=>[5,1,2,8,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[4,6,2,1,8,3,5,7]=>[6,7,4,3,8,1,2,5]=>[5,2,1,8,3,4,7,6]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]
[2,6,1,4,3,8,5,7]=>[3,7,1,5,4,8,2,6]=>[6,2,8,4,5,1,7,3]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]
[2,1,6,4,3,8,5,7]=>[2,1,7,5,4,8,3,6]=>[6,3,8,4,5,7,1,2]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]
[2,1,8,4,3,6,5,7]=>[2,1,8,5,4,7,6,3]=>[3,6,7,4,5,8,1,2]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[2,8,1,4,3,6,5,7]=>[3,8,1,5,4,7,6,2]=>[2,6,7,4,5,1,8,3]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[2,8,4,1,3,6,5,7]=>[4,8,5,1,3,7,6,2]=>[2,6,7,3,1,5,8,4]=>[[.,.],[[.,[[.,.],.]],[.,[.,.]]]]
[4,8,2,1,3,6,5,7]=>[5,8,4,3,1,7,6,2]=>[2,6,7,1,3,4,8,5]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[4,8,2,1,6,3,5,7]=>[6,8,4,3,7,1,5,2]=>[2,5,1,7,3,4,8,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[6,8,2,1,4,3,5,7]=>[7,8,4,3,6,5,1,2]=>[2,1,5,6,3,4,8,7]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]
[8,6,2,1,4,3,5,7]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[2,8,1,4,6,3,5,7]=>[3,8,1,6,7,4,5,2]=>[2,5,4,7,6,1,8,3]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[2,1,8,4,6,3,5,7]=>[2,1,8,6,7,4,5,3]=>[3,5,4,7,6,8,1,2]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[2,1,6,4,8,3,5,7]=>[2,1,7,6,8,4,3,5]=>[5,3,4,8,6,7,1,2]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]
[2,6,1,4,8,3,5,7]=>[3,7,1,6,8,4,2,5]=>[5,2,4,8,6,1,7,3]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]]
[2,6,4,1,8,3,5,7]=>[4,7,6,1,8,3,2,5]=>[5,2,3,8,1,6,7,4]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]
[2,6,4,8,1,3,5,7]=>[5,7,6,8,1,3,2,4]=>[4,2,3,1,8,6,7,5]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]
[4,6,2,8,1,3,5,7]=>[6,7,5,8,3,1,2,4]=>[4,2,1,3,8,5,7,6]=>[[[.,.],[.,.]],[[.,[[.,.],.]],.]]
[4,2,6,1,3,8,5,7]=>[5,4,7,2,1,8,3,6]=>[6,3,8,1,2,7,4,5]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]
[4,2,6,1,8,3,5,7]=>[6,4,7,2,8,1,3,5]=>[5,3,1,8,2,7,4,6]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]
[6,2,4,1,8,3,5,7]=>[7,4,6,2,8,3,1,5]=>[5,1,3,8,2,6,4,7]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]
[8,2,4,1,6,3,5,7]=>[8,4,6,2,7,3,5,1]=>[1,5,3,7,2,6,4,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[8,2,1,4,6,3,5,7]=>[8,3,2,6,7,4,5,1]=>[1,5,4,7,6,2,3,8]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]
[6,2,1,4,8,3,5,7]=>[7,3,2,6,8,4,1,5]=>[5,1,4,8,6,2,3,7]=>[[.,[[.,[.,.]],.]],[[.,[.,.]],.]]
[4,2,1,6,8,3,5,7]=>[6,3,2,7,8,1,4,5]=>[5,4,1,8,7,2,3,6]=>[[[.,[.,[.,.]]],.],[[[.,.],.],.]]
[4,2,1,6,3,8,5,7]=>[5,3,2,7,1,8,4,6]=>[6,4,8,1,7,2,3,5]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]
[4,2,1,3,6,8,5,7]=>[4,3,2,1,7,8,5,6]=>[6,5,8,7,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],.],[[.,.],.]]
[2,1,4,3,8,6,5,7]=>[2,1,4,3,8,7,6,5]=>[5,6,7,8,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]
[2,4,1,3,8,6,5,7]=>[3,4,1,2,8,7,6,5]=>[5,6,7,8,2,1,4,3]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]
[4,2,1,3,8,6,5,7]=>[4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[4,2,1,8,3,6,5,7]=>[5,3,2,8,1,7,6,4]=>[4,6,7,1,8,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[4,2,1,8,6,3,5,7]=>[6,3,2,8,7,1,5,4]=>[4,5,1,7,8,2,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]
[6,2,1,8,4,3,5,7]=>[7,3,2,8,6,5,1,4]=>[4,1,5,6,8,2,3,7]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]
[8,2,1,6,4,3,5,7]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[8,2,6,1,4,3,5,7]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,2,8,1,4,3,5,7]=>[7,4,8,2,6,5,1,3]=>[3,1,5,6,2,8,4,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[4,2,8,1,6,3,5,7]=>[6,4,8,2,7,1,5,3]=>[3,5,1,7,2,8,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[4,2,8,1,3,6,5,7]=>[5,4,8,2,1,7,6,3]=>[3,6,7,1,2,8,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[2,4,8,1,3,6,5,7]=>[4,5,8,1,2,7,6,3]=>[3,6,7,2,1,8,5,4]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]
[2,4,1,8,3,6,5,7]=>[3,5,1,8,2,7,6,4]=>[4,6,7,2,8,1,5,3]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[2,1,4,8,3,6,5,7]=>[2,1,5,8,3,7,6,4]=>[4,6,7,3,8,5,1,2]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]
[2,1,4,8,6,3,5,7]=>[2,1,6,8,7,3,5,4]=>[4,5,3,7,8,6,1,2]=>[[[.,[.,.]],.],[.,[[.,.],[.,.]]]]
[2,4,8,1,6,3,5,7]=>[4,6,8,1,7,2,5,3]=>[3,5,2,7,1,8,6,4]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[2,4,8,6,1,3,5,7]=>[5,6,8,7,1,2,4,3]=>[3,4,2,1,7,8,6,5]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]
[4,2,8,6,1,3,5,7]=>[6,5,8,7,2,1,4,3]=>[3,4,1,2,7,8,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]
[6,2,8,4,1,3,5,7]=>[7,5,8,6,2,4,1,3]=>[3,1,4,2,6,8,5,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[8,2,6,4,1,3,5,7]=>[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[8,4,6,2,1,3,5,7]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[6,4,8,2,1,3,5,7]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[4,6,8,2,1,3,5,7]=>[6,7,8,5,4,1,2,3]=>[3,2,1,4,5,8,7,6]=>[[[.,.],.],[.,[.,[[[.,.],.],.]]]]
[2,6,8,4,1,3,5,7]=>[5,7,8,6,1,4,2,3]=>[3,2,4,1,6,8,7,5]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]]
[2,6,8,1,4,3,5,7]=>[4,7,8,1,6,5,2,3]=>[3,2,5,6,1,8,7,4]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]
[2,6,1,8,4,3,5,7]=>[3,7,1,8,6,5,2,4]=>[4,2,5,6,8,1,7,3]=>[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]
[2,1,6,8,4,3,5,7]=>[2,1,7,8,6,5,3,4]=>[4,3,5,6,8,7,1,2]=>[[[.,[.,.]],.],[.,[.,[[.,.],.]]]]
[2,1,8,6,4,3,5,7]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,8,1,6,4,3,5,7]=>[3,8,1,7,6,5,4,2]=>[2,4,5,6,7,1,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[2,8,6,4,1,3,5,7]=>[5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[4,8,6,2,1,3,5,7]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[6,8,4,2,1,3,5,7]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[5,2,4,3,8,1,7,6]=>[6,4,3,2,8,1,7,5]=>[5,7,1,8,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[6,2,4,1,5,3,8,7]=>[6,4,5,2,3,1,8,7]=>[7,8,1,3,2,5,4,6]=>[[.,[[.,.],[[.,.],[.,.]]]],[.,.]]
[4,3,6,1,5,2,8,7]=>[6,4,5,2,3,1,8,7]=>[7,8,1,3,2,5,4,6]=>[[.,[[.,.],[[.,.],[.,.]]]],[.,.]]
[4,3,5,2,8,1,7,6]=>[6,4,3,2,8,1,7,5]=>[5,7,1,8,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[4,3,7,2,6,5,8,1]=>[8,4,6,2,5,3,7,1]=>[1,7,3,5,2,6,4,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[4,3,8,2,6,1,7,5]=>[6,4,8,2,7,1,5,3]=>[3,5,1,7,2,8,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[4,3,8,1,7,2,6,5]=>[6,4,8,2,7,1,5,3]=>[3,5,1,7,2,8,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[4,3,8,1,5,2,7,6]=>[6,4,8,2,5,1,7,3]=>[3,7,1,5,2,8,4,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[5,4,8,1,3,2,7,6]=>[6,5,8,4,2,1,7,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[2,1,5,4,8,3,7,6]=>[2,1,6,4,8,3,7,5]=>[5,7,3,8,4,6,1,2]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[5,1,7,6,8,3,4,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,3,7,6,8,1,5,2]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[4,3,7,1,8,5,6,2]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[4,3,6,5,8,1,7,2]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[6,3,5,4,7,2,8,1]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[6,3,5,4,8,1,7,2]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[7,1,6,3,8,4,5,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,4,6,5,8,1,3,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,1,8,4,6,3,7,5]=>[2,1,8,6,7,4,5,3]=>[3,5,4,7,6,8,1,2]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[8,4,6,1,3,2,7,5]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[8,1,6,3,4,2,7,5]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,6,3,7,2,5,4]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,3,5,1,7,2,6,4]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[8,3,5,2,6,1,7,4]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[7,3,5,2,6,4,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,2,6,3,5,1,7,4]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[8,2,7,1,5,3,6,4]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,2,4,1,5,3,7,6]=>[8,4,6,2,5,3,7,1]=>[1,7,3,5,2,6,4,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[8,2,4,1,7,3,6,5]=>[8,4,6,2,7,3,5,1]=>[1,5,3,7,2,6,4,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[8,2,4,3,6,1,7,5]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[3,2,8,4,6,1,7,5]=>[6,2,8,4,7,1,5,3]=>[3,5,1,7,4,8,2,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[3,2,7,6,8,1,5,4]=>[6,2,8,7,5,1,4,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[3,2,7,1,8,5,6,4]=>[4,2,8,1,7,6,5,3]=>[3,5,6,7,1,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[3,2,6,5,8,1,7,4]=>[6,2,8,4,7,1,5,3]=>[3,5,1,7,4,8,2,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[6,5,7,2,4,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,5,8,2,4,1,7,3]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[7,2,4,1,8,5,6,3]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,6,8,2,4,1,5,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,8,1,5,2,4,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,1,3,2,8,5,6,4]=>[8,2,4,3,7,6,5,1]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[7,1,8,5,6,2,4,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,1,8,2,6,4,5,3]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,2,8,1,5,4,6,3]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,2,7,4,5,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,4,7,2,6,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,4,8,2,6,1,7,3]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[6,5,8,1,7,2,4,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,1,6,5,8,3,7,4]=>[2,1,8,6,7,4,5,3]=>[3,5,4,7,6,8,1,2]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[6,5,7,4,8,1,3,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,5,7,1,8,3,4,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,1,7,4,8,3,5,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,4,7,1,8,3,6,2]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[5,4,6,3,8,1,7,2]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[2,1,4,3,6,5,8,7,11,12,10,9]=>[2,1,4,3,6,5,8,7,12,11,10,9]=>[9,10,11,12,7,8,5,6,3,4,1,2]=>[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,[.,[.,.]]]]
[2,1,4,3,6,5,9,10,8,7,12,11]=>[2,1,4,3,6,5,10,9,8,7,12,11]=>[11,12,7,8,9,10,5,6,3,4,1,2]=>[[[[[.,[.,.]],[.,.]],[.,.]],[.,[.,[.,.]]]],[.,.]]
[2,1,4,3,6,5,10,11,12,9,8,7]=>[2,1,4,3,6,5,12,11,10,9,8,7]=>[7,8,9,10,11,12,5,6,3,4,1,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,4,3,7,8,6,5,10,9,12,11]=>[2,1,4,3,8,7,6,5,10,9,12,11]=>[11,12,9,10,5,6,7,8,3,4,1,2]=>[[[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]],[.,.]],[.,.]]
[2,1,4,3,7,8,6,5,11,12,10,9]=>[2,1,4,3,8,7,6,5,12,11,10,9]=>[9,10,11,12,5,6,7,8,3,4,1,2]=>[[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[2,1,4,3,8,9,10,7,6,5,12,11]=>[2,1,4,3,10,9,8,7,6,5,12,11]=>[11,12,5,6,7,8,9,10,3,4,1,2]=>[[[[.,[.,.]],[.,.]],[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[2,1,4,3,9,10,11,12,8,7,6,5]=>[2,1,4,3,12,11,10,9,8,7,6,5]=>[5,6,7,8,9,10,11,12,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,1,5,6,4,3,8,7,10,9,12,11]=>[2,1,6,5,4,3,8,7,10,9,12,11]=>[11,12,9,10,7,8,3,4,5,6,1,2]=>[[[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]],[.,.]],[.,.]]
[2,1,5,6,4,3,8,7,11,12,10,9]=>[2,1,6,5,4,3,8,7,12,11,10,9]=>[9,10,11,12,7,8,3,4,5,6,1,2]=>[[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]],[.,[.,[.,.]]]]
[2,1,5,6,4,3,9,10,8,7,12,11]=>[2,1,6,5,4,3,10,9,8,7,12,11]=>[11,12,7,8,9,10,3,4,5,6,1,2]=>[[[[.,[.,.]],[.,[.,[.,.]]]],[.,[.,[.,.]]]],[.,.]]
[2,1,5,6,4,3,10,11,12,9,8,7]=>[2,1,6,5,4,3,12,11,10,9,8,7]=>[7,8,9,10,11,12,3,4,5,6,1,2]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,6,7,8,5,4,3,10,9,12,11]=>[2,1,8,7,6,5,4,3,10,9,12,11]=>[11,12,9,10,3,4,5,6,7,8,1,2]=>[[[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]],[.,.]],[.,.]]
[2,1,6,7,8,5,4,3,11,12,10,9]=>[2,1,8,7,6,5,4,3,12,11,10,9]=>[9,10,11,12,3,4,5,6,7,8,1,2]=>[[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]]
[2,1,7,8,9,10,6,5,4,3,12,11]=>[2,1,10,9,8,7,6,5,4,3,12,11]=>[11,12,3,4,5,6,7,8,9,10,1,2]=>[[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]]
[2,1,8,9,10,11,12,7,6,5,4,3]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[3,4,5,6,7,8,9,10,11,12,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[3,4,2,1,6,5,8,7,10,9,12,11]=>[4,3,2,1,6,5,8,7,10,9,12,11]=>[11,12,9,10,7,8,5,6,1,2,3,4]=>[[[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]],[.,.]],[.,.]]
[3,4,2,1,6,5,8,7,11,12,10,9]=>[4,3,2,1,6,5,8,7,12,11,10,9]=>[9,10,11,12,7,8,5,6,1,2,3,4]=>[[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]],[.,[.,[.,.]]]]
[3,4,2,1,6,5,9,10,8,7,12,11]=>[4,3,2,1,6,5,10,9,8,7,12,11]=>[11,12,7,8,9,10,5,6,1,2,3,4]=>[[[[.,[.,[.,[.,.]]]],[.,.]],[.,[.,[.,.]]]],[.,.]]
[3,4,2,1,6,5,10,11,12,9,8,7]=>[4,3,2,1,6,5,12,11,10,9,8,7]=>[7,8,9,10,11,12,5,6,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[3,4,2,1,7,8,6,5,10,9,12,11]=>[4,3,2,1,8,7,6,5,10,9,12,11]=>[11,12,9,10,5,6,7,8,1,2,3,4]=>[[[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]],[.,.]],[.,.]]
[3,4,2,1,7,8,6,5,11,12,10,9]=>[4,3,2,1,8,7,6,5,12,11,10,9]=>[9,10,11,12,5,6,7,8,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[3,4,2,1,8,9,10,7,6,5,12,11]=>[4,3,2,1,10,9,8,7,6,5,12,11]=>[11,12,5,6,7,8,9,10,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[3,4,2,1,9,10,11,12,8,7,6,5]=>[4,3,2,1,12,11,10,9,8,7,6,5]=>[5,6,7,8,9,10,11,12,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,5,6,3,2,1,8,7,10,9,12,11]=>[6,5,4,3,2,1,8,7,10,9,12,11]=>[11,12,9,10,7,8,1,2,3,4,5,6]=>[[[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]],[.,.]],[.,.]]
[4,5,6,3,2,1,8,7,11,12,10,9]=>[6,5,4,3,2,1,8,7,12,11,10,9]=>[9,10,11,12,7,8,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]],[.,[.,[.,.]]]]
[4,5,6,3,2,1,9,10,8,7,12,11]=>[6,5,4,3,2,1,10,9,8,7,12,11]=>[11,12,7,8,9,10,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]],[.,.]]
[4,5,6,3,2,1,10,11,12,9,8,7]=>[6,5,4,3,2,1,12,11,10,9,8,7]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,[.,[.,.]]]]]]
[5,6,7,8,4,3,2,1,10,9,12,11]=>[8,7,6,5,4,3,2,1,10,9,12,11]=>[11,12,9,10,1,2,3,4,5,6,7,8]=>[[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]],[.,.]]
[5,6,7,8,4,3,2,1,11,12,10,9]=>[8,7,6,5,4,3,2,1,12,11,10,9]=>[9,10,11,12,1,2,3,4,5,6,7,8]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,[.,[.,.]]]]
[6,7,8,9,10,5,4,3,2,1,12,11]=>[10,9,8,7,6,5,4,3,2,1,12,11]=>[11,12,1,2,3,4,5,6,7,8,9,10]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],[.,.]]
[7,8,9,10,11,12,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[2,5,3,4,7,1,8,6]=>[6,4,3,2,8,1,7,5]=>[5,7,1,8,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[2,4,8,3,5,7,6,1]=>[8,4,7,2,5,6,3,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[4,2,5,3,1,8,6,7]=>[5,4,3,2,1,8,7,6]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[4,2,1,8,5,3,6,7]=>[6,3,2,8,5,1,7,4]=>[4,7,1,5,8,2,3,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[5,4,1,3,8,2,6,7]=>[6,4,3,2,8,1,7,5]=>[5,7,1,8,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[1,7,4,3,8,5,2,6]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,5,7,3,8,4,2,6]=>[1,7,8,6,5,4,2,3]=>[3,2,4,5,6,8,7,1]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[5,1,4,7,8,3,2,6]=>[7,2,6,8,5,3,1,4]=>[4,1,3,5,8,6,2,7]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]
[4,8,1,5,7,3,6,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,1,5,3,7,4,6,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,8,4,7,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,6,8,5,3,7,4,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,8,1,7,4,3,5,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,4,8,1,7,3,5,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,4,8,7,1,5,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,4,1,3,8,2,5]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,2,1,7,8,5,3,6]=>[7,3,2,8,6,5,1,4]=>[4,1,5,6,8,2,3,7]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]
[2,7,4,6,3,1,8,5]=>[6,8,5,4,3,1,7,2]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[2,6,8,4,3,7,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,2,4,8,3,7,5,1]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[7,2,6,3,4,1,8,5]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[2,6,7,3,1,4,8,5]=>[5,8,6,4,1,3,7,2]=>[2,7,3,1,4,6,8,5]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]
[2,7,1,8,3,5,4,6]=>[3,8,1,7,5,6,4,2]=>[2,4,6,5,7,1,8,3]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[8,7,1,3,6,2,4,5]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,2,1,7,3,5,6,4]=>[8,3,2,7,5,6,4,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[7,8,2,6,3,1,5,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,2,6,3,5,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,2,8,7,4,5,6,3]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[8,3,7,1,5,6,2,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,6,1,2,7,5,3,4]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[8,1,6,2,7,4,5,3]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[1,8,5,2,6,7,4,3]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[5,2,1,8,6,7,4,3]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[2,8,5,7,6,4,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,7,8,5,2,6,4,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,8,1,6,4,2,5,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,8,6,1,5,3,2,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,3,8,6,1,5,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,6,1,5,3,4,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,7,1,6,4,5,3,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,1,7,5,6,4,3,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,8,6,7,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,3,5,2,1,4,8,7]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[6,3,5,7,2,8,4,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,5,2,7,4,3,1,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,5,3,6,1,2,8,7]=>[6,5,3,4,2,1,8,7]=>[7,8,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]
[8,3,4,5,7,2,1,6]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,7,4,6,3,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,8,4,6,3,7,1,5]=>[7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[8,1,4,7,3,6,2,5]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,3,4,7,5,1,2,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,1,4,7,3,2,6]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,5,3,7,1,4,2,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,1,8,5,7,4,3,6]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[6,5,3,7,1,8,4,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,5,1,4,7,8,3,2]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[6,3,4,7,5,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,1,4,6,8,3,7,2]=>[8,2,6,4,7,3,5,1]=>[1,5,3,7,4,6,2,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[4,7,1,3,5,8,6,2]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[4,8,3,7,1,2,6,5]=>[6,8,5,7,3,1,4,2]=>[2,4,1,3,7,5,8,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[3,8,6,4,1,7,2,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[3,8,1,2,5,7,6,4]=>[4,8,3,1,7,6,5,2]=>[2,5,6,7,1,3,8,4]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[2,8,7,5,4,1,3,6]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[8,7,2,6,4,1,3,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,8,6,7,4,2,1,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[5,7,6,8,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,3,7,8,2,4,6,1]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[8,3,6,2,1,4,7,5]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[5,3,7,6,2,1,8,4]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,3,6,2,8,7,1,4]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[5,7,8,6,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,6,7,5,4,8,1,3]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[6,1,7,4,5,8,2,3]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[6,7,3,5,1,8,2,4]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,1,6,7,5,8,3,4]=>[2,1,8,7,5,6,4,3]=>[3,4,6,5,7,8,1,2]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[2,1,5,7,3,6,8,4]=>[2,1,8,6,5,4,7,3]=>[3,7,4,5,6,8,1,2]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[5,7,3,6,1,2,8,4]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,1,7,2,5,6,8,3]=>[8,2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[2,4,7,1,6,5,8,3]=>[4,8,6,1,5,3,7,2]=>[2,7,3,5,1,6,8,4]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[4,6,2,1,8,7,5,3]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[3,4,6,2,7,8,5,1]=>[8,4,7,2,5,6,3,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[5,6,1,4,8,2,7,3]=>[8,6,3,4,7,2,5,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[5,6,3,1,8,7,2,4]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[3,5,6,4,7,1,8,2]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[3,4,6,1,5,7,8,2]=>[8,4,5,2,3,6,7,1]=>[1,7,6,3,2,5,4,8]=>[.,[[[[.,.],[[.,.],.]],.],[.,.]]]
[3,8,2,7,1,6,5,4]=>[5,8,3,7,1,6,4,2]=>[2,4,6,1,7,3,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[3,8,2,7,6,1,5,4]=>[6,8,3,7,5,1,4,2]=>[2,4,1,5,7,3,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[3,8,2,7,6,5,1,4]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[3,8,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,8,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,7,2,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,7,2,6,1,5,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,7,2,1,6,5,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,7,3,1,6,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,7,3,2,1,6,5]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[4,8,7,3,2,6,1,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[4,8,7,3,2,6,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,7,3,6,2,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,7,3,6,2,1,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[4,8,7,3,6,1,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,7,3,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,7,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,7,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,7,6,3,1,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,7,6,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,7,6,2,1,4,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,7,6,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,7,6,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,7,6,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,7,6,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,3,4,2,1,6,5,8]=>[7,5,4,3,2,6,1,8]=>[8,1,6,2,3,4,5,7]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[7,3,5,2,6,1,4,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,3,5,2,6,4,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,3,5,2,7,4,8,1]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[7,2,1,5,6,4,3,8]=>[7,3,2,6,5,4,1,8]=>[8,1,4,5,6,2,3,7]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[7,3,5,1,6,4,2,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,4,5,6,1,3,2,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,4,5,7,3,2,8,6]=>[1,6,5,8,3,2,7,4]=>[4,7,2,3,8,5,6,1]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[6,4,5,7,3,1,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,4,5,7,1,3,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,3,5,1,7,4,8,2]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[2,4,6,7,3,8,1,5]=>[7,5,8,4,2,6,1,3]=>[3,1,6,2,4,8,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[1,4,6,7,3,8,5,2]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,5,6,7,8,3,4,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,5,6,7,8,3,1,4]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[3,2,1,6,7,8,4,5]=>[3,2,1,8,7,6,5,4]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[5,2,1,6,7,8,4,3]=>[8,3,2,7,5,6,4,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[5,3,6,1,7,8,4,2]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[5,4,6,7,1,8,3,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[1,5,6,7,8,3,2,4]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,4,5,7,2,1,8,3]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,4,6,7,2,8,3,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,3,6,2,7,8,4,1]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[5,3,6,2,7,8,1,4]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[6,3,5,2,7,1,8,4]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[6,3,4,2,1,7,8,5]=>[8,5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[5,3,4,1,2,7,8,6]=>[5,4,3,2,1,8,7,6]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[4,3,6,2,7,8,1,5]=>[7,4,8,2,5,6,1,3]=>[3,1,6,5,2,8,4,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[4,3,6,2,7,8,5,1]=>[8,4,7,2,5,6,3,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[1,3,6,2,7,8,5,4]=>[1,4,8,2,7,6,5,3]=>[3,5,6,7,2,8,4,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[1,4,6,7,2,8,5,3]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[3,4,6,7,2,8,5,1]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[3,4,5,7,2,1,8,6]=>[6,5,3,8,2,1,7,4]=>[4,7,1,2,8,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[4,2,1,6,7,8,3,5]=>[7,3,2,8,5,6,1,4]=>[4,1,6,5,8,2,3,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[4,3,6,1,7,8,2,5]=>[7,4,8,2,5,6,1,3]=>[3,1,6,5,2,8,4,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[1,5,6,7,8,2,4,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,5,6,7,8,4,2,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,4,6,7,1,8,5,2]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[4,3,6,1,7,8,5,2]=>[8,4,7,2,5,6,3,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[4,2,1,6,7,8,5,3]=>[8,3,2,7,5,6,4,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[2,3,6,1,7,8,5,4]=>[4,2,8,1,7,6,5,3]=>[3,5,6,7,1,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[2,4,6,7,1,8,5,3]=>[5,8,7,4,1,6,3,2]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[2,1,4,3,6,5,8,7,9]=>[2,1,4,3,6,5,8,7,9]=>[9,7,8,5,6,3,4,1,2]=>[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]
[2,3,1,5,4,7,6,9,8]=>[3,2,1,5,4,7,6,9,8]=>[8,9,6,7,4,5,1,2,3]=>[[[[.,[.,[.,.]]],[.,.]],[.,.]],[.,.]]
[1,3,2,5,4,7,6,9,8]=>[1,3,2,5,4,7,6,9,8]=>[8,9,6,7,4,5,2,3,1]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]]
[2,3,1,5,4,7,6,9,8,10]=>[3,2,1,5,4,7,6,9,8,10]=>[10,8,9,6,7,4,5,1,2,3]=>[[[[[.,[.,[.,.]]],[.,.]],[.,.]],[.,.]],.]
[1,3,2,5,4,7,6,9,8,10]=>[1,3,2,5,4,7,6,9,8,10]=>[10,8,9,6,7,4,5,2,3,1]=>[[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]],.]
[1,4,3,6,2,5,7,8]=>[1,5,3,6,2,4,7,8]=>[8,7,4,2,6,3,5,1]=>[[[[[.,.],[.,.]],[[.,.],.]],.],.]
[1,4,3,7,2,5,6,8]=>[1,5,3,7,2,6,4,8]=>[8,4,6,2,7,3,5,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[1,4,3,7,6,8,2,5]=>[1,7,3,8,5,6,2,4]=>[4,2,6,5,8,3,7,1]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[1,4,3,7,5,8,2,6]=>[1,7,3,8,5,6,2,4]=>[4,2,6,5,8,3,7,1]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[1,4,3,7,2,6,5,8]=>[1,5,3,7,2,6,4,8]=>[8,4,6,2,7,3,5,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[1,5,3,7,4,8,2,6]=>[1,7,5,8,3,6,2,4]=>[4,2,6,3,8,5,7,1]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[1,3,2,6,5,8,4,7]=>[1,3,2,7,5,8,4,6]=>[6,4,8,5,7,2,3,1]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]
[1,5,4,8,2,6,3,7]=>[1,7,5,8,3,6,2,4]=>[4,2,6,3,8,5,7,1]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[1,5,4,8,3,7,2,6]=>[1,7,5,8,3,6,2,4]=>[4,2,6,3,8,5,7,1]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[6,8,2,4,5,7,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,7,8,4,5,2,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,1,4,5,3,6,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,8,7,4,1,6,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,3,6,1,5,7,2]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[5,8,3,1,6,4,7,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,8,1,4,7,6,3,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,5,1,8,6,2,4,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,4,1,8,2,6,3,5]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,1,8,4,2,6,3,5]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,1,3,8,5,2,4,7]=>[7,2,6,8,5,3,1,4]=>[4,1,3,5,8,6,2,7]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]
[7,1,8,3,6,2,5,4]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,3,1,8,4,2,6,5]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[7,2,8,4,1,6,5,3]=>[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[7,2,8,3,6,5,1,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,2,8,3,6,1,5,4]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[7,1,8,2,3,6,5,4]=>[8,2,7,4,5,6,3,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[6,1,2,8,3,5,4,7]=>[7,2,3,8,5,6,1,4]=>[4,1,6,5,8,3,2,7]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[1,5,2,3,8,4,7,6]=>[1,6,3,4,8,2,7,5]=>[5,7,2,8,4,3,6,1]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]
[5,1,2,3,8,4,7,6]=>[6,2,3,4,8,1,7,5]=>[5,7,1,8,4,3,2,6]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]
[5,2,3,8,1,4,7,6]=>[6,5,3,8,2,1,7,4]=>[4,7,1,2,8,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[6,2,8,1,3,5,4,7]=>[7,4,8,2,5,6,1,3]=>[3,1,6,5,2,8,4,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[6,2,4,1,8,7,3,5]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,3,1,4,2,8,5,7]=>[7,5,3,4,2,8,1,6]=>[6,1,8,2,4,3,5,7]=>[[.,[.,[[.,.],[.,.]]]],[[.,.],.]]
[3,1,6,4,2,8,5,7]=>[5,2,7,4,1,8,3,6]=>[6,3,8,1,4,7,2,5]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]
[2,6,3,8,7,1,5,4]=>[6,8,3,7,5,1,4,2]=>[2,4,1,5,7,3,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[2,6,3,8,5,1,4,7]=>[6,7,3,8,5,1,2,4]=>[4,2,1,5,8,3,7,6]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]
[2,5,1,8,3,4,7,6]=>[3,6,1,8,5,2,7,4]=>[4,7,2,5,8,1,6,3]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[2,5,1,3,8,4,7,6]=>[3,6,1,4,8,2,7,5]=>[5,7,2,8,4,1,6,3]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]
[1,2,5,3,8,4,7,6]=>[1,2,6,4,8,3,7,5]=>[5,7,3,8,4,6,2,1]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]
[1,2,4,8,3,7,6,5]=>[1,2,5,8,3,7,6,4]=>[4,6,7,3,8,5,2,1]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]
[2,4,8,1,3,7,6,5]=>[4,5,8,1,2,7,6,3]=>[3,6,7,2,1,8,5,4]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]
[2,4,8,3,7,1,6,5]=>[6,4,8,2,7,1,5,3]=>[3,5,1,7,2,8,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[2,4,8,3,7,6,1,5]=>[7,4,8,2,6,5,1,3]=>[3,1,5,6,2,8,4,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[2,5,3,8,1,7,4,6]=>[5,7,3,8,1,6,2,4]=>[4,2,6,1,8,3,7,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[5,3,1,4,8,2,7,6]=>[6,4,3,2,8,1,7,5]=>[5,7,1,8,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[5,2,3,8,4,7,1,6]=>[7,5,3,8,2,6,1,4]=>[4,1,6,2,8,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[4,8,2,3,7,6,1,5]=>[7,8,4,3,6,5,1,2]=>[2,1,5,6,3,4,8,7]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]
[4,8,2,3,7,1,6,5]=>[6,8,4,3,7,1,5,2]=>[2,5,1,7,3,4,8,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[4,8,1,2,3,7,6,5]=>[5,8,3,4,1,7,6,2]=>[2,6,7,1,4,3,8,5]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[1,4,8,3,7,2,6,5]=>[1,6,8,4,7,2,5,3]=>[3,5,2,7,4,8,6,1]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[5,3,8,1,2,4,7,6]=>[6,5,8,4,2,1,7,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[1,5,3,8,2,4,7,6]=>[1,6,5,8,3,2,7,4]=>[4,7,2,3,8,5,6,1]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[1,5,4,8,2,7,6,3]=>[1,8,5,7,3,6,4,2]=>[2,4,6,3,7,5,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[5,1,4,8,2,7,6,3]=>[8,2,5,7,3,6,4,1]=>[1,4,6,3,7,5,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[5,4,8,1,2,7,6,3]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[6,5,1,2,8,7,4,3]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[5,3,1,6,4,2,8,7]=>[6,5,3,4,2,1,8,7]=>[7,8,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]
[5,1,6,2,8,7,4,3]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[4,1,5,8,2,7,6,3]=>[8,2,5,7,3,6,4,1]=>[1,4,6,3,7,5,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[4,1,2,5,8,7,6,3]=>[8,2,3,4,7,6,5,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[1,4,2,5,8,7,6,3]=>[1,8,3,4,7,6,5,2]=>[2,5,6,7,4,3,8,1]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[1,3,5,2,8,7,4,6]=>[1,4,7,2,8,6,3,5]=>[5,3,6,8,2,7,4,1]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]
[3,5,1,2,8,7,4,6]=>[4,7,3,1,8,6,2,5]=>[5,2,6,8,1,3,7,4]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]
[3,6,2,8,7,5,1,4]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[4,2,6,1,8,7,3,5]=>[7,4,8,2,6,5,1,3]=>[3,1,5,6,2,8,4,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[3,5,2,8,7,1,4,6]=>[6,7,3,8,5,1,2,4]=>[4,2,1,5,8,3,7,6]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]
[3,4,8,7,2,6,1,5]=>[7,5,8,6,2,4,1,3]=>[3,1,4,2,6,8,5,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[3,4,8,7,1,2,6,5]=>[6,5,8,7,2,1,4,3]=>[3,4,1,2,7,8,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]
[3,4,8,1,7,2,6,5]=>[6,4,8,2,7,1,5,3]=>[3,5,1,7,2,8,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[1,3,4,8,2,7,6,5]=>[1,5,3,8,2,7,6,4]=>[4,6,7,2,8,3,5,1]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[3,4,8,1,2,7,6,5]=>[5,4,8,2,1,7,6,3]=>[3,6,7,1,2,8,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[3,4,8,2,7,1,6,5]=>[6,4,8,2,7,1,5,3]=>[3,5,1,7,2,8,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[3,4,8,2,7,6,1,5]=>[7,4,8,2,6,5,1,3]=>[3,1,5,6,2,8,4,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[4,2,5,8,1,7,6,3]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[4,3,1,2,5,8,7,6]=>[4,3,2,1,5,8,7,6]=>[6,7,8,5,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]]
[3,1,4,2,5,8,7,6]=>[4,2,3,1,5,8,7,6]=>[6,7,8,5,1,3,2,4]=>[[[.,[[.,.],[.,.]]],.],[.,[.,.]]]
[2,3,5,1,8,7,6,4]=>[4,2,8,1,7,6,5,3]=>[3,5,6,7,1,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[7,8,2,1,5,3,6,4]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[6,4,1,2,7,3,5,8]=>[7,6,3,4,5,2,1,8]=>[8,1,2,5,4,3,6,7]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[6,3,1,5,4,2,7,8]=>[6,5,3,4,2,1,7,8]=>[8,7,1,2,4,3,5,6]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[7,8,1,5,4,2,6,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,8,3,5,4,1,6,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,2,5,4,1,3,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,2,5,4,6,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,2,1,5,4,7,3,8]=>[7,3,2,5,4,6,1,8]=>[8,1,6,4,5,2,3,7]=>[[.,[[[.,[.,.]],[.,.]],[.,.]]],.]
[5,3,6,1,4,7,8,2]=>[8,5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[5,3,6,2,4,7,1,8]=>[7,5,4,3,2,6,1,8]=>[8,1,6,2,3,4,5,7]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[6,4,2,1,7,3,8,5]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[4,3,7,5,8,6,1,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,2,7,1,8,3,6,5]=>[6,4,8,2,7,1,5,3]=>[3,5,1,7,2,8,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[3,2,6,7,4,8,1,5]=>[7,2,8,5,4,6,1,3]=>[3,1,6,4,5,8,2,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[3,1,6,7,4,8,5,2]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[1,7,6,5,3,8,4,2]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[2,7,6,5,3,8,1,4]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[2,7,6,5,3,1,4,8]=>[6,7,5,4,3,1,2,8]=>[8,2,1,3,4,5,7,6]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[2,7,1,4,8,3,5,6]=>[3,8,1,6,7,4,5,2]=>[2,5,4,7,6,1,8,3]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[3,7,6,4,8,5,1,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,7,6,3,8,4,1,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,1,6,2,4,8,3,7]=>[7,2,5,4,3,8,1,6]=>[6,1,8,3,4,5,2,7]=>[[.,[[.,.],[.,[.,.]]]],[[.,.],.]]
[4,7,6,5,2,1,3,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,7,6,5,2,8,1,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,7,6,5,1,8,3,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[1,7,6,5,2,8,3,4]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[4,7,6,5,1,2,8,3]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,7,6,5,3,1,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,2,6,3,4,1,7,8]=>[6,5,4,3,2,1,7,8]=>[8,7,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[5,1,6,2,4,7,8,3]=>[8,2,5,4,3,6,7,1]=>[1,7,6,3,4,5,2,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[1,7,2,4,8,3,6,5]=>[1,8,3,6,7,4,5,2]=>[2,5,4,7,6,3,8,1]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[6,1,4,2,8,3,5,7]=>[7,2,6,4,8,3,1,5]=>[5,1,3,8,4,6,2,7]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]
[4,1,8,2,6,3,5,7]=>[6,2,8,4,7,1,5,3]=>[3,5,1,7,4,8,2,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[4,7,1,6,2,3,8,5]=>[6,8,3,5,4,1,7,2]=>[2,7,1,4,5,3,8,6]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[1,7,2,6,8,3,5,4]=>[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,2,6,7,4,8,5,3]=>[1,2,8,7,5,6,4,3]=>[3,4,6,5,7,8,2,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[3,2,8,5,4,6,1,7]=>[7,2,8,5,4,6,1,3]=>[3,1,6,4,5,8,2,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[4,7,6,3,5,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,7,1,2,5,3,8,6]=>[6,8,3,4,5,1,7,2]=>[2,7,1,5,4,3,8,6]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]
[3,7,6,5,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[3,7,6,5,1,4,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,7,6,5,2,1,8,4]=>[6,8,5,4,3,1,7,2]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[1,7,6,5,8,2,4,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,7,6,5,8,1,4,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,7,6,5,1,2,4,8]=>[6,7,5,4,3,1,2,8]=>[8,2,1,3,4,5,7,6]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[3,1,6,8,4,2,5,7]=>[6,2,7,8,5,1,3,4]=>[4,3,1,5,8,7,2,6]=>[[[.,[.,.]],.],[.,[[[.,.],.],.]]]
[4,7,6,8,3,5,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,7,6,5,8,4,1,3]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[6,3,2,1,7,4,8,5]=>[8,4,3,2,6,5,7,1]=>[1,7,5,6,2,3,4,8]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[4,2,1,7,3,5,8,6]=>[5,3,2,8,1,6,7,4]=>[4,7,6,1,8,2,3,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[7,3,1,5,4,2,8,6]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[8,4,1,5,2,7,6,3]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[8,2,5,1,3,7,6,4]=>[8,4,7,2,5,6,3,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[4,3,7,2,1,5,8,6]=>[5,4,8,2,1,6,7,3]=>[3,7,6,1,2,8,4,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[6,3,7,4,2,1,8,5]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,7,2,5,3,1,8,6]=>[6,8,5,4,3,1,7,2]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[2,7,5,4,1,3,8,6]=>[5,8,6,4,1,3,7,2]=>[2,7,3,1,4,6,8,5]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]
[7,5,4,3,2,1,8,6]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,5,3,2,1,7,6,4]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,5,2,1,8,4,3,7]=>[7,6,4,3,8,2,1,5]=>[5,1,2,8,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[4,6,3,2,8,1,5,7]=>[6,7,4,3,8,1,2,5]=>[5,2,1,8,3,4,7,6]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]
[5,7,4,3,2,8,1,6]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[1,7,6,2,4,8,3,5]=>[1,8,7,4,5,6,3,2]=>[2,3,6,5,4,7,8,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[2,7,3,6,4,8,1,5]=>[7,8,3,5,4,6,1,2]=>[2,1,6,4,5,3,8,7]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[6,2,7,5,3,8,1,4]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,1,8,5,3,6,4,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,8,1,6,2,7,4,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,8,6,2,3,7,5,4]=>[1,8,7,4,5,6,3,2]=>[2,3,6,5,4,7,8,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[1,8,6,3,2,7,5,4]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[5,8,3,2,7,1,6,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,7,3,1,6,5,4,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,7,2,6,1,5,4,3]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[1,8,5,7,4,3,6,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,5,7,2,4,6,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,8,4,6,7,1,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,2,8,5,6,1,4,3]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[6,3,7,5,8,2,1,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,7,2,6,8,4,1,5]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[3,6,5,8,1,4,2,7]=>[7,6,5,8,3,2,1,4]=>[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[2,6,5,8,4,1,3,7]=>[6,7,5,8,3,1,2,4]=>[4,2,1,3,8,5,7,6]=>[[[.,.],[.,.]],[[.,[[.,.],.]],.]]
[6,5,4,8,3,2,1,7]=>[7,6,5,8,3,2,1,4]=>[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[8,4,3,7,2,1,6,5]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[8,2,4,7,1,3,6,5]=>[8,5,6,7,2,3,4,1]=>[1,4,3,2,7,6,5,8]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]
[6,2,5,8,1,4,3,7]=>[7,5,6,8,2,3,1,4]=>[4,1,3,2,8,6,5,7]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]
[4,3,6,8,2,1,5,7]=>[6,5,7,8,2,1,3,4]=>[4,3,1,2,8,7,5,6]=>[[[.,[.,.]],.],[[[.,[.,.]],.],.]]
[6,3,5,1,8,4,2,7]=>[7,6,4,3,8,2,1,5]=>[5,1,2,8,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[8,4,1,5,7,3,6,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,4,2,5,8,3,1,7]=>[7,6,4,3,8,2,1,5]=>[5,1,2,8,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[6,5,2,1,7,8,3,4]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[6,3,7,4,8,5,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,7,2,5,8,6,3,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,3,1,8,4,7,5,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,4,2,8,7,3,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,5,3,8,7,4,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,3,7,6,4,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,4,8,1,7,6,2,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,2,8,1,7,3,6,4]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,4,8,2,1,7,5,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,6,8,1,4,7,5,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,7,3,8,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,4,7,8,1,5,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,3,7,8,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,5,8,7,1,3,6,4]=>[5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[5,3,8,7,2,1,6,4]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[8,3,7,6,1,5,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,2,7,6,5,1,4,3]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[4,3,8,7,6,2,1,5]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[2,4,8,7,6,1,3,5]=>[6,7,8,5,4,1,2,3]=>[3,2,1,4,5,8,7,6]=>[[[.,.],.],[.,[.,[[[.,.],.],.]]]]
[3,5,8,7,2,6,1,4]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[4,7,3,8,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,5,8,6,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,7,3,6,4,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,7,6,2,5,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,8,7,6,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,8,7,6,5,4,1,3]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[3,4,1,2,5,6,7,8,9]=>[4,3,2,1,5,6,7,8,9]=>[9,8,7,6,5,1,2,3,4]=>[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.]
[3,2,1,4,5,6,7,8,9]=>[3,2,1,4,5,6,7,8,9]=>[9,8,7,6,5,4,1,2,3]=>[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.]
[4,5,6,1,2,3,7,8,9]=>[6,5,4,3,2,1,7,8,9]=>[9,8,7,1,2,3,4,5,6]=>[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.]
[4,2,5,1,3,6,7,8,9]=>[5,4,3,2,1,6,7,8,9]=>[9,8,7,6,1,2,3,4,5]=>[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.]
[4,3,2,1,5,6,7,8,9]=>[4,3,2,1,5,6,7,8,9]=>[9,8,7,6,5,1,2,3,4]=>[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.]
[5,6,7,8,1,2,3,4,9]=>[8,7,6,5,4,3,2,1,9]=>[9,1,2,3,4,5,6,7,8]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[5,6,3,4,1,2,7,8,9]=>[6,5,4,3,2,1,7,8,9]=>[9,8,7,1,2,3,4,5,6]=>[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.]
[5,4,3,2,1,6,7,8,9]=>[5,4,3,2,1,6,7,8,9]=>[9,8,7,6,1,2,3,4,5]=>[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.]
[6,7,3,4,8,1,2,5,9]=>[8,7,6,4,5,3,2,1,9]=>[9,1,2,3,5,4,6,7,8]=>[[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]],.]
[6,4,7,2,5,1,3,8,9]=>[7,6,5,4,3,2,1,8,9]=>[9,8,1,2,3,4,5,6,7]=>[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.]
[6,5,4,3,2,1,7,8,9]=>[6,5,4,3,2,1,7,8,9]=>[9,8,7,1,2,3,4,5,6]=>[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.]
[7,8,5,6,3,4,1,2,9]=>[8,7,6,5,4,3,2,1,9]=>[9,1,2,3,4,5,6,7,8]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[7,5,3,8,2,6,1,4,9]=>[8,7,6,5,4,3,2,1,9]=>[9,1,2,3,4,5,6,7,8]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[7,6,5,4,3,2,1,8,9]=>[7,6,5,4,3,2,1,8,9]=>[9,8,1,2,3,4,5,6,7]=>[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.]
[8,6,9,4,7,2,5,1,3]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[8,6,4,3,9,2,7,1,5]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[3,4,1,2,5,6,7,8,9,10]=>[4,3,2,1,5,6,7,8,9,10]=>[10,9,8,7,6,5,1,2,3,4]=>[[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.],.]
[3,2,1,4,5,6,7,8,9,10]=>[3,2,1,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,1,2,3]=>[[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.],.]
[4,5,6,1,2,3,7,8,9,10]=>[6,5,4,3,2,1,7,8,9,10]=>[10,9,8,7,1,2,3,4,5,6]=>[[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.],.]
[4,2,5,1,3,6,7,8,9,10]=>[5,4,3,2,1,6,7,8,9,10]=>[10,9,8,7,6,1,2,3,4,5]=>[[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.],.]
[4,3,2,1,5,6,7,8,9,10]=>[4,3,2,1,5,6,7,8,9,10]=>[10,9,8,7,6,5,1,2,3,4]=>[[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.],.]
[5,6,7,8,1,2,3,4,9,10]=>[8,7,6,5,4,3,2,1,9,10]=>[10,9,1,2,3,4,5,6,7,8]=>[[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.],.]
[5,6,3,4,1,2,7,8,9,10]=>[6,5,4,3,2,1,7,8,9,10]=>[10,9,8,7,1,2,3,4,5,6]=>[[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.],.]
[5,4,3,2,1,6,7,8,9,10]=>[5,4,3,2,1,6,7,8,9,10]=>[10,9,8,7,6,1,2,3,4,5]=>[[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.],.]
[6,4,7,2,5,1,3,8,9,10]=>[7,6,5,4,3,2,1,8,9,10]=>[10,9,8,1,2,3,4,5,6,7]=>[[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.],.]
[6,5,4,3,2,1,7,8,9,10]=>[6,5,4,3,2,1,7,8,9,10]=>[10,9,8,7,1,2,3,4,5,6]=>[[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.],.]
[7,8,3,4,9,10,1,2,5,6]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[7,8,9,4,5,6,1,2,3,10]=>[9,8,7,6,5,4,3,2,1,10]=>[10,1,2,3,4,5,6,7,8,9]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[7,8,5,6,3,4,1,2,9,10]=>[8,7,6,5,4,3,2,1,9,10]=>[10,9,1,2,3,4,5,6,7,8]=>[[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.],.]
[7,5,3,8,2,6,1,4,9,10]=>[8,7,6,5,4,3,2,1,9,10]=>[10,9,1,2,3,4,5,6,7,8]=>[[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.],.]
[7,6,5,4,3,2,1,8,9,10]=>[7,6,5,4,3,2,1,8,9,10]=>[10,9,8,1,2,3,4,5,6,7]=>[[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.],.]
[8,5,9,10,2,6,7,1,3,4]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,6,9,4,7,2,5,1,3,10]=>[9,8,7,6,5,4,3,2,1,10]=>[10,1,2,3,4,5,6,7,8,9]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[8,6,4,3,9,2,7,1,5,10]=>[9,8,7,6,5,4,3,2,1,10]=>[10,1,2,3,4,5,6,7,8,9]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[8,7,6,5,4,3,2,1,9,10]=>[8,7,6,5,4,3,2,1,9,10]=>[10,9,1,2,3,4,5,6,7,8]=>[[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.],.]
[9,7,5,4,3,10,2,8,1,6]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[3,6,5,1,2,4,8,7]=>[5,6,4,3,1,2,8,7]=>[7,8,2,1,3,4,6,5]=>[[[.,.],[.,[.,[[.,.],.]]]],[.,.]]
[3,7,5,8,2,4,1,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[3,8,5,7,2,4,1,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[5,1,7,8,4,3,2,6]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[5,1,2,6,4,3,8,7]=>[6,2,3,5,4,1,8,7]=>[7,8,1,4,5,3,2,6]=>[[.,[[[.,.],.],[.,[.,.]]]],[.,.]]
[6,1,2,5,4,3,8,7]=>[6,2,3,5,4,1,8,7]=>[7,8,1,4,5,3,2,6]=>[[.,[[[.,.],.],[.,[.,.]]]],[.,.]]
[4,1,2,6,5,3,8,7]=>[6,2,3,5,4,1,8,7]=>[7,8,1,4,5,3,2,6]=>[[.,[[[.,.],.],[.,[.,.]]]],[.,.]]
[4,1,5,7,8,3,2,6]=>[7,2,6,8,5,3,1,4]=>[4,1,3,5,8,6,2,7]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]
[4,1,5,8,7,3,2,6]=>[7,2,6,8,5,3,1,4]=>[4,1,3,5,8,6,2,7]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]
[4,7,1,8,3,6,2,5]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[4,1,7,8,5,2,3,6]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[5,1,7,4,8,2,3,6]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[7,5,3,8,1,4,2,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,1,5,8,7,3,4,6]=>[2,1,7,8,6,5,3,4]=>[4,3,5,6,8,7,1,2]=>[[[.,[.,.]],.],[.,[.,[[.,.],.]]]]
[5,1,8,4,7,2,3,6]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[4,1,8,7,5,2,3,6]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[4,7,1,6,3,2,8,5]=>[6,8,3,5,4,1,7,2]=>[2,7,1,4,5,3,8,6]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[6,1,2,3,7,5,8,4]=>[8,2,3,4,6,5,7,1]=>[1,7,5,6,4,3,2,8]=>[.,[[[[[.,.],.],.],[.,.]],[.,.]]]
[7,1,2,3,8,6,5,4]=>[8,2,3,4,7,6,5,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[7,1,2,3,5,8,6,4]=>[8,2,3,4,7,6,5,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[6,8,1,4,3,7,2,5]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,7,3,2,4,1,6,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,1,7,3,4,8,6,5]=>[2,1,8,4,5,7,6,3]=>[3,6,7,5,4,8,1,2]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]
[7,8,3,2,4,1,6,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,7,1,4,3,8,2,5]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[8,1,2,3,5,7,6,4]=>[8,2,3,4,7,6,5,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[8,1,2,3,6,7,5,4]=>[8,2,3,4,7,6,5,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[7,1,2,3,6,8,5,4]=>[8,2,3,4,7,6,5,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[7,1,2,3,8,5,6,4]=>[8,2,3,4,7,6,5,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[8,1,2,3,7,5,6,4]=>[8,2,3,4,7,6,5,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[8,1,2,3,6,5,7,4]=>[8,2,3,4,7,6,5,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[7,1,8,5,4,3,2,6]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,8,2,6,3,4,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,2,7,3,4,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,2,8,3,4,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,5,7,8,2,4,1,6]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[3,6,7,1,4,2,8,5]=>[6,8,5,4,3,1,7,2]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[7,6,2,8,3,1,4,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,2,7,3,1,4,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,1,7,5,4,3,2,6]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,7,4,5,3,2,6]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,8,3,7,1,4,2,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[6,7,3,2,4,1,8,5]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,7,2,4,3,6,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,1,2,3,5,6,8,4]=>[8,2,3,4,6,5,7,1]=>[1,7,5,6,4,3,2,8]=>[.,[[[[[.,.],.],.],[.,.]],[.,.]]]
[6,1,2,3,8,7,4,5]=>[8,2,3,4,7,6,5,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[5,1,2,3,7,8,6,4]=>[8,2,3,4,7,6,5,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[5,1,2,3,8,7,6,4]=>[8,2,3,4,7,6,5,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[5,1,2,3,8,6,7,4]=>[8,2,3,4,7,6,5,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[6,1,2,3,5,8,7,4]=>[8,2,3,4,5,7,6,1]=>[1,6,7,5,4,3,2,8]=>[.,[[[[[.,.],.],.],.],[.,[.,.]]]]
[8,6,2,4,3,1,7,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,3,2,4,8,1,5]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,1,6,3,4,8,7,5]=>[2,1,8,4,5,7,6,3]=>[3,6,7,5,4,8,1,2]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]
[8,6,3,2,4,7,1,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,6,2,4,3,1,8,5]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,1,2,3,5,7,8,4]=>[8,2,3,4,5,6,7,1]=>[1,7,6,5,4,3,2,8]=>[.,[[[[[[.,.],.],.],.],.],[.,.]]]
[5,1,2,3,6,8,7,4]=>[8,2,3,4,5,7,6,1]=>[1,6,7,5,4,3,2,8]=>[.,[[[[[.,.],.],.],.],[.,[.,.]]]]
[7,8,1,2,6,3,5,4]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[1,4,8,2,7,3,5,6]=>[1,6,8,4,7,2,5,3]=>[3,5,2,7,4,8,6,1]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[1,2,8,5,4,7,3,6]=>[1,2,8,7,5,6,4,3]=>[3,4,6,5,7,8,2,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[2,3,6,8,4,7,1,5]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[1,3,6,8,4,7,5,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,4,8,1,7,3,6,5]=>[4,6,8,1,7,2,5,3]=>[3,5,2,7,1,8,6,4]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[3,4,8,5,7,6,1,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,2,6,8,4,5,7,3]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[7,5,1,2,4,3,6,8]=>[7,6,3,4,5,2,1,8]=>[8,1,2,5,4,3,6,7]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[7,4,6,1,5,2,3,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,1,4,2,6,3,5,8]=>[7,2,6,4,5,3,1,8]=>[8,1,3,5,4,6,2,7]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[6,8,1,4,7,2,3,5]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,6,4,2,8,3,5,7]=>[1,7,6,4,8,3,2,5]=>[5,2,3,8,4,6,7,1]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]
[6,8,1,7,3,5,4,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,3,1,6,5,4,2,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[7,2,1,4,6,3,5,8]=>[7,3,2,6,5,4,1,8]=>[8,1,4,5,6,2,3,7]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[7,2,3,6,5,1,4,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[7,1,2,3,6,5,4,8]=>[7,2,3,4,6,5,1,8]=>[8,1,5,6,4,3,2,7]=>[[.,[[[[.,.],.],.],[.,[.,.]]]],.]
[6,8,1,2,7,3,5,4]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[1,6,2,3,8,5,4,7]=>[1,7,3,4,8,6,2,5]=>[5,2,6,8,4,3,7,1]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]
[1,5,8,2,7,6,3,4]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[5,1,8,2,7,6,3,4]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[5,8,2,7,6,3,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,2,8,1,7,3,5,4]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,8,2,1,7,4,3,5]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[3,6,4,1,2,8,5,7]=>[5,7,4,3,1,8,2,6]=>[6,2,8,1,3,4,7,5]=>[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]
[2,1,6,3,8,5,4,7]=>[2,1,7,4,8,6,3,5]=>[5,3,6,8,4,7,1,2]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]
[2,5,1,8,7,6,3,4]=>[3,8,1,7,6,5,4,2]=>[2,4,5,6,7,1,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[2,5,3,8,7,4,6,1]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[1,2,5,3,8,7,4,6]=>[1,2,7,4,8,6,3,5]=>[5,3,6,8,4,7,2,1]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]
[2,4,8,7,6,5,1,3]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[2,5,3,8,7,1,6,4]=>[6,8,3,7,5,1,4,2]=>[2,4,1,5,7,3,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[2,5,8,4,1,7,6,3]=>[5,8,7,4,1,6,3,2]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[3,5,8,7,1,4,2,6]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[5,3,8,4,1,7,6,2]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[4,2,8,7,6,3,5,1]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[4,2,8,7,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,1,8,7,6,5,3,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,3,8,7,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,3,1,8,7,2,5,4]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[5,8,3,7,6,1,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,1,3,8,7,6,2,4]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,5,3,8,7,6,2,4]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,5,8,4,7,2,6,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,1,8,4,7,2,6,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,8,7,4,6,1,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,5,1,2,4,7,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,6,3,1,2,4,8,7]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[5,6,2,4,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[5,6,1,2,4,3,8,7]=>[6,5,3,4,2,1,8,7]=>[7,8,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]
[4,5,8,1,7,2,6,3]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[3,5,1,8,7,4,6,2]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[3,5,1,8,7,2,6,4]=>[6,8,3,7,5,1,4,2]=>[2,4,1,5,7,3,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[4,3,6,1,2,8,5,7]=>[5,4,7,2,1,8,3,6]=>[6,3,8,1,2,7,4,5]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]
[4,5,8,3,1,7,2,6]=>[7,5,8,4,2,6,1,3]=>[3,1,6,2,4,8,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[4,5,2,8,7,1,3,6]=>[7,6,3,8,5,2,1,4]=>[4,1,2,5,8,3,6,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[3,2,5,8,7,1,6,4]=>[6,2,8,7,5,1,4,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[3,4,8,7,6,2,1,5]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[3,4,8,7,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,4,8,7,6,2,5,1]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[3,2,5,8,7,4,6,1]=>[8,2,6,7,5,3,4,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[4,5,8,3,1,7,6,2]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[2,1,3,5,8,7,4,6]=>[2,1,3,7,8,6,4,5]=>[5,4,6,8,7,3,1,2]=>[[[[.,[.,.]],.],.],[.,[[.,.],.]]]
[1,2,7,5,8,6,4,3]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[7,1,4,8,2,6,5,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,8,1,3,7,5,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,7,8,1,2,6,5,4]=>[5,8,7,4,1,6,3,2]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,3,7,8,2,6,5,4]=>[1,5,8,7,2,6,4,3]=>[3,4,6,2,7,8,5,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[2,3,7,8,1,6,5,4]=>[5,2,8,7,1,6,4,3]=>[3,4,6,1,7,8,2,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[2,7,8,1,3,6,5,4]=>[4,8,7,1,5,6,3,2]=>[2,3,6,5,1,7,8,4]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[8,1,2,6,7,3,5,4]=>[8,2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[8,1,2,6,7,5,3,4]=>[8,2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[8,2,5,7,1,3,6,4]=>[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[2,8,1,6,7,3,5,4]=>[3,8,1,7,6,5,4,2]=>[2,4,5,6,7,1,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[2,8,6,4,7,1,5,3]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[6,8,3,4,1,7,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,3,7,4,1,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,6,8,3,7,5,1,4]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[2,8,1,6,7,5,3,4]=>[3,8,1,7,6,5,4,2]=>[2,4,5,6,7,1,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[8,2,5,7,1,6,3,4]=>[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[8,4,7,2,3,6,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,7,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,3,5,7,4,1,6,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,2,4,7,1,6,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,2,3,5,7,1,6,4]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[8,2,4,7,3,6,1,5]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[8,2,7,1,4,6,3,5]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,7,1,2,4,6,3,5]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[8,7,1,4,6,2,3,5]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,4,7,1,3,6,2,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,6,8,3,7,2,5,4]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,3,5,7,1,2,6,4]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[5,8,7,1,3,6,2,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,5,4,7,1,6,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,4,7,1,2,6,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,1,4,7,2,6,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,4,6,8,2,7,5,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,6,5,8,2,7,4,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,5,6,3,1,7,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,6,2,8,1,7,4,3]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[1,8,4,5,7,2,6,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,8,7,3,6,1,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,3,5,7,1,6,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,6,8,3,7,5,2,4]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,3,8,2,7,5,1,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,8,4,2,7,1,5,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,4,7,3,1,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,5,7,3,1,6,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,2,5,7,1,6,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,3,4,7,2,6,1,5]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[8,7,1,3,4,6,2,5]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,3,7,2,4,6,1,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,7,3,4,5,1,6,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,4,5,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,7,2,3,6,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,2,3,4,6,1,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,7,2,3,6,1,4,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,3,2,8,5,4,7,6]=>[1,3,2,8,6,5,7,4]=>[4,7,5,6,8,2,3,1]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[4,2,8,5,3,7,1,6]=>[7,5,8,4,2,6,1,3]=>[3,1,6,2,4,8,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[5,2,1,8,4,3,7,6]=>[6,3,2,8,5,1,7,4]=>[4,7,1,5,8,2,3,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[6,2,8,4,3,7,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,2,8,4,3,1,6,5]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[7,3,4,8,2,1,6,5]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[6,3,4,8,2,7,5,1]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[5,3,4,1,8,2,7,6]=>[6,4,3,2,8,1,7,5]=>[5,7,1,8,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[8,1,4,5,2,3,7,6]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[8,1,5,4,3,2,7,6]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[3,5,4,2,8,1,7,6]=>[6,4,3,2,8,1,7,5]=>[5,7,1,8,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[6,4,3,2,8,7,5,1]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[6,5,3,2,1,7,8,4]=>[8,5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[5,6,3,2,7,8,4,1]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[4,1,6,3,2,7,8,5]=>[5,2,8,4,1,6,7,3]=>[3,7,6,1,4,8,2,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[3,6,4,2,7,8,1,5]=>[7,8,4,3,5,6,1,2]=>[2,1,6,5,3,4,8,7]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]
[8,1,6,4,3,7,2,5]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,7,4,3,6,5,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,7,4,1,3,6,5,8]=>[4,7,5,1,3,6,2,8]=>[8,2,6,3,1,5,7,4]=>[[[.,.],[[.,[[.,.],.]],[.,.]]],.]
[4,1,7,3,2,6,5,8]=>[5,2,7,4,1,6,3,8]=>[8,3,6,1,4,7,2,5]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[5,7,3,2,6,4,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,7,3,2,5,4,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,6,3,2,1,5,4,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,7,5,6,2,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,1,7,5,6,2,4,8]=>[6,2,7,5,4,1,3,8]=>[8,3,1,4,5,7,2,6]=>[[[.,[.,.]],[.,[.,[[.,.],.]]]],.]
[2,6,5,7,1,3,8,4]=>[5,8,6,4,1,3,7,2]=>[2,7,3,1,4,6,8,5]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]
[4,6,5,7,2,8,1,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,6,4,7,2,8,3,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,5,4,1,7,2,8,3]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[7,5,4,6,2,1,8,3]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,4,5,7,1,8,2,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,4,6,1,7,8,2,3]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[8,1,5,6,7,2,3,4]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,1,4,6,8,7,3,5]=>[2,1,7,8,6,5,3,4]=>[4,3,5,6,8,7,1,2]=>[[[.,[.,.]],.],[.,[.,[[.,.],.]]]]
[3,4,6,8,7,1,2,5]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[4,3,1,6,8,7,2,5]=>[7,3,2,8,6,5,1,4]=>[4,1,5,6,8,2,3,7]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]
[5,3,6,8,7,2,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,3,5,1,8,7,2,4]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[7,3,5,8,6,2,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,2,8,5,6,3,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,2,8,5,1,7,3,4]=>[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[4,2,1,8,6,7,3,5]=>[7,3,2,8,6,5,1,4]=>[4,1,5,6,8,2,3,7]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]
[1,3,2,8,6,7,4,5]=>[1,3,2,8,7,6,5,4]=>[4,5,6,7,8,2,3,1]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]
[2,3,8,6,7,1,4,5]=>[6,2,8,7,5,1,4,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[8,1,3,2,6,7,4,5]=>[8,2,4,3,7,6,5,1]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[2,3,8,7,1,6,5,4]=>[5,2,8,7,1,6,4,3]=>[3,4,6,1,7,8,2,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[4,2,8,7,6,1,5,3]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[5,2,8,7,6,4,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,2,1,8,6,5,4,3]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[7,3,6,1,8,5,4,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,3,7,8,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,3,7,8,6,4,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,3,1,7,8,6,5,2]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[3,4,7,8,6,1,5,2]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[8,1,5,7,6,2,4,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,5,7,6,8,1,4,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,5,7,6,8,3,1,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,4,1,7,6,8,3,2]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[6,4,7,5,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,4,6,5,1,8,3,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,5,6,4,3,1,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,5,1,7,4,3,8,2]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[4,6,7,5,3,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,6,7,5,1,4,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,1,6,7,5,4,2,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,7,6,5,4,3,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,7,6,1,5,4,3,8]=>[4,7,6,1,5,3,2,8]=>[8,2,3,5,1,6,7,4]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[3,7,6,5,1,4,2,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,7,6,5,3,1,2,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,6,4,3,1,5,7,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,4,1,5,2,7,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,6,5,1,3,2,7,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,6,3,1,7,2,4,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,7,3,1,5,2,4,6]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,3,1,7,2,4,6,8]=>[6,5,3,7,2,1,4,8]=>[8,4,1,2,7,3,5,6]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[8,7,1,2,4,5,3,6]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[8,6,1,2,4,7,3,5]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[8,5,1,2,6,7,3,4]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[8,5,1,6,4,2,7,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,5,1,3,6,4,7,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,6,1,5,3,4,7,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,6,1,5,2,4,7,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,6,1,2,5,7,3,4]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[8,6,1,2,7,4,3,5]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[8,7,1,2,5,4,3,6]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[5,1,4,2,3,8,6,7]=>[5,2,4,3,1,8,7,6]=>[6,7,8,1,3,4,2,5]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]
[7,1,5,8,2,6,3,4]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,7,8,1,2,4,6,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,7,8,1,3,4,6,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,8,1,7,3,4,6,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,1,5,7,2,4,6,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,4,1,2,7,6,3,5]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[1,4,2,3,8,7,5,6]=>[1,4,3,2,8,7,6,5]=>[5,6,7,8,2,3,4,1]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]
[1,4,2,7,6,3,5,8]=>[1,6,3,7,5,2,4,8]=>[8,4,2,5,7,3,6,1]=>[[[[.,.],[.,.]],[.,[[.,.],.]]],.]
[6,1,2,8,7,5,3,4]=>[8,2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[6,1,2,4,8,7,5,3]=>[8,2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[3,1,8,4,6,7,5,2]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[3,1,7,6,4,8,5,2]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[7,1,2,4,6,8,5,3]=>[8,2,3,7,5,6,4,1]=>[1,4,6,5,7,3,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[7,1,2,6,8,5,3,4]=>[8,2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[6,1,2,7,8,5,3,4]=>[8,2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[6,1,2,7,4,8,5,3]=>[8,2,3,7,5,6,4,1]=>[1,4,6,5,7,3,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[3,1,6,4,7,8,5,2]=>[8,2,7,4,5,6,3,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[5,7,1,3,8,4,6,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,7,1,8,4,2,6,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,1,5,3,2,8,6,4]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[7,1,4,5,2,8,6,3]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[4,7,3,1,5,8,6,2]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[4,8,7,3,1,5,6,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,1,7,4,5,2,6,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,7,5,3,2,6,4]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,3,7,1,2,6,4,5]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[3,1,2,8,4,7,5,6]=>[3,2,1,8,5,7,6,4]=>[4,6,7,5,8,1,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[3,1,2,8,6,4,5,7]=>[3,2,1,8,7,6,5,4]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[3,1,7,2,6,4,5,8]=>[4,2,7,1,6,5,3,8]=>[8,3,5,6,1,7,2,4]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[1,4,2,3,8,6,5,7]=>[1,4,3,2,8,7,6,5]=>[5,6,7,8,2,3,4,1]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]
[1,4,2,3,8,5,7,6]=>[1,4,3,2,8,6,7,5]=>[5,7,6,8,2,3,4,1]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[5,8,1,7,2,4,6,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,8,1,3,4,7,6,2]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[3,1,8,6,4,7,5,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,2,6,7,4,5,3]=>[8,2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[6,1,2,8,7,3,5,4]=>[8,2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[1,2,3,5,8,4,7,6]=>[1,2,3,6,8,4,7,5]=>[5,7,4,8,6,3,2,1]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]
[7,1,2,8,3,6,5,4]=>[8,2,3,7,5,6,4,1]=>[1,4,6,5,7,3,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[7,1,2,8,6,4,5,3]=>[8,2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[3,1,7,8,4,6,5,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,1,8,7,6,4,5,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,2,7,4,6,5,3]=>[8,2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[8,1,2,7,3,6,5,4]=>[8,2,3,7,5,6,4,1]=>[1,4,6,5,7,3,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[7,8,5,6,3,1,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,5,3,6,1,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,5,6,3,1,4,2,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,5,8,3,1,4,2,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,5,3,1,4,2,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,5,3,1,6,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,5,3,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,5,3,6,1,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,5,3,6,4,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,5,3,4,1,6,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,5,3,1,4,6,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,5,3,1,2,6,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,5,3,8,1,2,6,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,5,8,3,4,1,6,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,5,8,3,4,6,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,5,6,3,4,1,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,5,6,3,1,4,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,5,6,3,1,2,8,4]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,5,3,6,1,2,8,4]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,5,3,4,1,2,8,6]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,5,3,1,4,2,6,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,5,3,1,4,2,8,6]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,5,3,1,6,2,8,4]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,5,3,1,6,4,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,5,3,6,1,4,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,5,3,6,4,1,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,5,3,6,4,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,5,3,8,4,6,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,5,3,8,1,4,6,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,5,3,1,8,4,6,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,5,3,1,8,2,6,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,5,3,1,8,2,4,6]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,5,3,1,6,2,4,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,5,3,1,6,4,2,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,5,3,1,8,4,2,6]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,5,3,1,8,6,2,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,5,3,8,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,5,3,8,6,1,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,5,3,8,6,4,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,5,8,3,6,4,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,5,8,3,6,1,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,5,8,3,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,5,8,3,1,6,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,5,3,6,1,4,2,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,5,3,6,4,1,2,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,5,3,8,4,1,2,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,5,8,6,3,1,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,5,8,6,3,1,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,5,8,6,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,5,6,8,3,1,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,5,6,3,8,1,2,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,5,3,4,1,6,2,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,5,3,4,1,8,2,6]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,5,6,3,1,8,2,4]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,5,6,3,1,8,4,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,5,6,3,8,1,4,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,5,6,3,8,4,1,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,5,3,6,8,4,1,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,5,3,6,8,1,4,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,5,3,6,1,8,4,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,5,3,1,6,8,4,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,5,3,1,6,8,2,4]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,5,3,1,4,8,2,6]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,5,3,1,4,6,2,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,5,3,1,2,6,4,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,5,3,1,2,8,4,6]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,5,3,1,2,8,6,4]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,5,3,1,4,8,6,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,5,3,4,1,8,6,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,5,3,4,8,1,6,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,5,3,4,8,6,1,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,5,3,4,6,1,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,5,3,4,1,6,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,5,3,1,4,6,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,5,3,1,2,6,8,4]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,5,3,1,2,4,8,6]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,6,2,5,4,1,8,7]=>[6,5,3,4,2,1,8,7]=>[7,8,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]
[3,5,2,8,4,7,6,1]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[5,4,7,3,2,8,6,1]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[5,4,8,3,2,7,6,1]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[6,4,5,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[5,3,2,6,4,1,8,7]=>[6,5,3,4,2,1,8,7]=>[7,8,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]
[4,5,8,3,2,7,6,1]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[4,7,6,3,8,5,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,8,6,3,7,5,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,5,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,8,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,3,2,8,4,7,6,1]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[2,1,5,8,4,7,6,3]=>[2,1,8,7,5,6,4,3]=>[3,4,6,5,7,8,1,2]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[5,3,2,7,4,8,6,1]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[5,7,4,3,2,8,6,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,7,5,3,2,8,6,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,7,8,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,6,8,3,7,5,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,4,3,8,5,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,3,2,6,8,5,4,1]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,1,8,6,7,5,4,3]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[8,3,2,6,7,5,4,1]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,6,4,3,7,5,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,7,6,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,5,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,4,7,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,6,3,7,5,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,4,6,3,8,5,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,7,2,6,8,5,4,1]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,8,2,6,7,5,4,1]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,8,2,5,4,7,6,1]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[3,7,2,8,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,6,2,8,7,5,4,1]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,4,7,3,8,5,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,4,8,3,7,5,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,4,8,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,4,5,3,2,8,6,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,5,4,3,2,8,6,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,3,2,5,4,8,6,1]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[2,1,7,5,4,8,6,3]=>[2,1,8,7,5,6,4,3]=>[3,4,6,5,7,8,1,2]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[7,3,2,8,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,8,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,5,7,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,4,3,7,5,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,3,2,8,7,5,4,1]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,3,2,7,8,5,4,1]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,7,4,3,8,5,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,3,1,4,5,6,7,8,9]=>[3,2,1,4,5,6,7,8,9]=>[9,8,7,6,5,4,1,2,3]=>[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.]
[2,3,1,4,5,6,7,8,9,10]=>[3,2,1,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,1,2,3]=>[[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.],.]
[2,4,3,1,5,6,7,8,9]=>[4,3,2,1,5,6,7,8,9]=>[9,8,7,6,5,1,2,3,4]=>[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.]
[2,3,4,5,6,7,9,8,1]=>[9,2,3,4,5,6,8,7,1]=>[1,7,8,6,5,4,3,2,9]=>[.,[[[[[[.,.],.],.],.],.],[.,[.,.]]]]
[4,6,8,3,5,7,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,1,2,4,5,7,3]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[3,5,8,2,4,7,1,6]=>[7,5,8,4,2,6,1,3]=>[3,1,6,2,4,8,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[8,3,5,2,4,1,6,7]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,2,5,7,3,6,1,8]=>[7,5,3,6,2,4,1,8]=>[8,1,4,2,6,3,5,7]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[4,5,2,8,3,1,6,7]=>[6,5,3,8,2,1,7,4]=>[4,7,1,2,8,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[4,2,5,8,3,7,1,6]=>[7,5,3,8,2,6,1,4]=>[4,1,6,2,8,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[2,1,6,8,4,7,3,5]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[1,2,5,8,3,6,7,4]=>[1,2,8,7,5,6,4,3]=>[3,4,6,5,7,8,2,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[5,3,6,8,4,7,1,2]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[1,6,5,8,2,4,7,3]=>[1,8,6,7,5,3,4,2]=>[2,4,3,5,7,6,8,1]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[3,1,2,6,8,5,7,4]=>[3,2,1,8,7,6,5,4]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[1,4,3,8,2,6,7,5]=>[1,5,3,8,2,7,6,4]=>[4,6,7,2,8,3,5,1]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[5,4,8,3,2,1,6,7]=>[6,5,8,4,2,1,7,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[5,4,3,7,2,6,1,8]=>[7,5,3,6,2,4,1,8]=>[8,1,4,2,6,3,5,7]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[4,3,6,2,7,5,1,8]=>[7,4,6,2,5,3,1,8]=>[8,1,3,5,2,6,4,7]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[4,6,3,2,1,8,5,7]=>[5,7,4,3,1,8,2,6]=>[6,2,8,1,3,4,7,5]=>[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]
[4,1,7,3,2,5,8,6]=>[5,2,8,4,1,6,7,3]=>[3,7,6,1,4,8,2,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[4,3,1,7,8,2,6,5]=>[6,3,2,8,7,1,5,4]=>[4,5,1,7,8,2,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]
[3,5,1,2,7,8,6,4]=>[4,8,3,1,7,6,5,2]=>[2,5,6,7,1,3,8,4]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[7,5,1,4,8,2,6,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,4,7,3,8,6,1,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,8,4,7,6,3,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,7,1,4,2,6,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,3,5,1,2,7,6,4]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[4,8,3,1,7,2,6,5]=>[6,8,4,3,7,1,5,2]=>[2,5,1,7,3,4,8,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[1,8,4,3,5,2,7,6]=>[1,8,6,4,5,3,7,2]=>[2,7,3,5,4,6,8,1]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[4,6,3,1,5,2,8,7]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[4,7,3,6,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,3,7,6,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,8,3,6,2,7,5,4]=>[1,8,5,7,3,6,4,2]=>[2,4,6,3,7,5,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,6,8,7,4,2,5,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,4,8,7,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,4,3,8,5,1,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,7,6,2,8,4,5,3]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[7,1,3,2,6,8,5,4]=>[8,2,4,3,7,6,5,1]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[1,5,3,2,7,4,8,6]=>[1,6,4,3,8,2,7,5]=>[5,7,2,8,3,4,6,1]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[6,5,3,2,7,4,1,8]=>[7,6,4,3,5,2,1,8]=>[8,1,2,5,3,4,6,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[5,2,6,3,7,4,1,8]=>[7,6,4,3,5,2,1,8]=>[8,1,2,5,3,4,6,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[2,8,5,3,1,6,4,7]=>[5,8,7,4,1,6,3,2]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,6,2,3,7,8,5,4]=>[1,8,3,4,7,6,5,2]=>[2,5,6,7,4,3,8,1]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[1,6,7,2,8,4,5,3]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[5,7,1,8,2,4,6,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,1,2,7,8,3,6,4]=>[8,2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[2,4,1,7,8,6,3,5]=>[3,7,1,8,6,5,2,4]=>[4,2,5,6,8,1,7,3]=>[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]
[4,2,1,7,3,8,5,6]=>[5,3,2,8,1,7,6,4]=>[4,6,7,1,8,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[6,2,8,4,3,1,5,7]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[7,3,2,1,8,4,5,6]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[7,8,3,2,5,6,1,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,1,8,2,4,5,6,3]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,7,6,1,2,4,5,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,3,7,6,2,1,4,5]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[3,2,8,7,5,1,4,6]=>[6,2,8,7,5,1,4,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[8,3,6,5,2,1,4,7]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[7,6,3,5,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,4,6,2,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,2,4,1,6,5,3,7]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[4,2,8,1,7,5,3,6]=>[7,4,8,2,6,5,1,3]=>[3,1,5,6,2,8,4,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[8,2,4,1,7,6,3,5]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,7,1,5,6,2,4,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,5,7,3,6,4,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,3,7,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,1,6,7,5,2,4,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,2,6,4,3,7,5]=>[8,2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[2,8,1,7,5,4,3,6]=>[3,8,1,7,6,5,4,2]=>[2,4,5,6,7,1,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[2,5,1,8,6,4,3,7]=>[3,7,1,8,6,5,2,4]=>[4,2,5,6,8,1,7,3]=>[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]
[5,7,2,6,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,2,7,5,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[2,1,8,6,5,4,3,7]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[1,7,2,8,3,6,5,4]=>[1,8,3,7,5,6,4,2]=>[2,4,6,5,7,3,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,7,8,6,5,2,4,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,8,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,8,7,6,5,2,4,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,1,7,3,2,6,5,4]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[5,1,4,3,2,8,7,6]=>[5,2,4,3,1,8,7,6]=>[6,7,8,1,3,4,2,5]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]
[8,6,5,3,2,1,7,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,3,2,1,7,4,5]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,6,5,4,1,7,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,5,1,7,3,2,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,6,1,7,4,3,2,5]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,6,3,2,7,5,1,8]=>[7,6,4,3,5,2,1,8]=>[8,1,2,5,3,4,6,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[1,4,3,7,2,5,8,6]=>[1,5,3,8,2,6,7,4]=>[4,7,6,2,8,3,5,1]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[7,4,8,3,1,6,2,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,1,5,8,3,2,6,4]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,7,4,1,8,2,6,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,7,4,3,1,8,6,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[1,8,7,2,5,4,6,3]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,8,5,3,7,2,6,4]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,3,1,8,7,5,2,6]=>[7,3,2,8,6,5,1,4]=>[4,1,5,6,8,2,3,7]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]
[1,4,8,6,3,5,2,7]=>[1,7,8,6,5,4,2,3]=>[3,2,4,5,6,8,7,1]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[7,4,6,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,3,5,6,8,4,2,7]=>[1,7,6,4,8,3,2,5]=>[5,2,3,8,4,6,7,1]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]
[3,5,4,8,7,1,2,6]=>[7,6,3,8,5,2,1,4]=>[4,1,2,5,8,3,6,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[1,6,3,8,7,2,5,4]=>[1,8,6,7,5,3,4,2]=>[2,4,3,5,7,6,8,1]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[1,6,2,4,8,7,5,3]=>[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[8,4,1,6,7,5,3,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,1,6,4,8,5,2,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,3,6,8,5,1,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,3,7,2,6,8,4,5]=>[1,4,8,2,7,6,5,3]=>[3,5,6,7,2,8,4,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[3,6,5,2,8,1,4,7]=>[6,7,4,3,8,1,2,5]=>[5,2,1,8,3,4,7,6]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]
[3,6,5,7,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,2,6,3,8,1,5,7]=>[6,4,7,2,8,1,3,5]=>[5,3,1,8,2,7,4,6]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]
[4,2,6,7,3,5,1,8]=>[7,5,6,4,2,3,1,8]=>[8,1,3,2,4,6,5,7]=>[[.,[[.,.],[.,[[.,.],[.,.]]]]],.]
[3,6,2,4,7,5,1,8]=>[7,6,3,4,5,2,1,8]=>[8,1,2,5,4,3,6,7]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[3,6,2,4,1,8,5,7]=>[5,7,3,4,1,8,2,6]=>[6,2,8,1,4,3,7,5]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]
[7,3,8,2,1,6,4,5]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[7,3,5,2,1,8,6,4]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[8,7,6,4,3,1,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,6,4,1,5,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,8,7,2,1,4,6,5]=>[5,8,7,4,1,6,3,2]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[3,8,2,7,1,5,4,6]=>[5,8,3,7,1,6,4,2]=>[2,4,6,1,7,3,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[3,6,8,2,1,5,4,7]=>[5,7,8,4,1,6,2,3]=>[3,2,6,1,4,8,7,5]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]
[2,4,8,1,6,5,3,7]=>[4,7,8,1,6,5,2,3]=>[3,2,5,6,1,8,7,4]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]
[4,2,8,1,5,7,3,6]=>[7,4,8,2,5,6,1,3]=>[3,1,6,5,2,8,4,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[8,5,7,6,1,4,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,1,7,3,5,4,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,6,1,7,5,4,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,6,2,8,7,3,5,4]=>[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,8,2,4,6,7,3,5]=>[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[2,1,5,8,6,4,3,7]=>[2,1,7,8,6,5,3,4]=>[4,3,5,6,8,7,1,2]=>[[[.,[.,.]],.],[.,[.,[[.,.],.]]]]
[7,2,5,6,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,2,5,7,8,4,3,6]=>[1,2,7,8,6,5,3,4]=>[4,3,5,6,8,7,2,1]=>[[[[.,.],.],.],[.,[.,[[.,.],.]]]]
[1,2,7,4,8,6,3,5]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,2,7,8,3,6,5,4]=>[1,2,8,7,5,6,4,3]=>[3,4,6,5,7,8,2,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[7,1,8,6,3,5,4,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,8,7,6,3,5,2,4]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,7,4,6,3,2,5]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,1,5,8,3,4,6,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,6,2,4,7,3,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,2,4,5,7,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,7,1,4,5,8,3,6]=>[3,8,1,7,5,6,4,2]=>[2,4,6,5,7,1,8,3]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[7,1,4,5,6,8,2,3]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[7,1,4,6,5,8,3,2]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[7,1,2,3,8,5,4,6]=>[8,2,3,4,7,6,5,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[7,1,5,4,3,8,2,6]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[7,1,3,4,2,6,8,5]=>[8,2,5,4,3,6,7,1]=>[1,7,6,3,4,5,2,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[7,1,5,4,6,2,8,3]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[7,1,5,6,4,3,8,2]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[8,6,2,5,4,3,7,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,5,1,7,4,3,6,8]=>[3,6,1,7,5,2,4,8]=>[8,4,2,5,7,1,6,3]=>[[[[.,.],[.,.]],[.,[[.,.],.]]],.]
[3,6,2,4,7,8,1,5]=>[7,8,3,4,5,6,1,2]=>[2,1,6,5,4,3,8,7]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]
[5,6,2,4,8,7,1,3]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[6,3,8,2,4,7,1,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,5,8,7,2,3,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,5,7,8,2,4,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,3,4,2,8,5,1,7]=>[7,6,4,3,8,2,1,5]=>[5,1,2,8,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[3,4,7,2,5,8,1,6]=>[7,4,8,2,5,6,1,3]=>[3,1,6,5,2,8,4,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[4,3,8,1,2,7,5,6]=>[5,4,8,2,1,7,6,3]=>[3,6,7,1,2,8,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[2,8,3,1,5,6,4,7]=>[4,8,3,1,7,6,5,2]=>[2,5,6,7,1,3,8,4]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[3,8,7,1,5,4,2,6]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[4,3,1,7,6,8,2,5]=>[7,3,2,8,5,6,1,4]=>[4,1,6,5,8,2,3,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[3,4,1,5,7,6,2,8]=>[7,3,2,4,6,5,1,8]=>[8,1,5,6,4,2,3,7]=>[[.,[[[.,[.,.]],.],[.,[.,.]]]],.]
[3,7,4,1,6,2,8,5]=>[6,8,4,3,5,1,7,2]=>[2,7,1,5,3,4,8,6]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]
[8,4,7,2,5,3,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,8,6,1,5,3,7,4]=>[4,8,7,1,6,5,3,2]=>[2,3,5,6,1,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[7,6,5,1,3,8,2,4]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,6,5,1,3,4,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,2,6,4,1,3,8,5]=>[8,5,6,4,2,3,7,1]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[6,7,5,2,1,3,8,4]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,4,5,3,7,2,6,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,7,5,2,8,1,6,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,6,4,3,1,5,7,8]=>[5,6,4,3,1,2,7,8]=>[8,7,2,1,3,4,6,5]=>[[[[.,.],[.,[.,[[.,.],.]]]],.],.]
[7,3,8,4,1,5,2,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,2,3,4,1,6,5,8]=>[7,5,3,4,2,6,1,8]=>[8,1,6,2,4,3,5,7]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[4,2,8,3,6,1,5,7]=>[6,4,8,2,7,1,5,3]=>[3,5,1,7,2,8,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[6,8,5,7,2,1,3,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,5,2,7,1,3,6]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[6,3,5,2,1,7,4,8]=>[7,5,4,3,2,6,1,8]=>[8,1,6,2,3,4,5,7]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[6,8,5,3,1,4,2,7]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[3,6,5,4,2,8,1,7]=>[7,5,4,3,2,8,1,6]=>[6,1,8,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[1,6,4,7,2,5,3,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[1,6,8,2,4,3,7,5]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,6,2,4,3,7,8,5]=>[1,8,3,5,4,6,7,2]=>[2,7,6,4,5,3,8,1]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]
[1,5,6,2,4,7,3,8]=>[1,7,5,4,3,6,2,8]=>[8,2,6,3,4,5,7,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[1,5,6,2,4,7,8,3]=>[1,8,5,4,3,6,7,2]=>[2,7,6,3,4,5,8,1]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[1,5,8,2,4,7,3,6]=>[1,7,8,4,5,6,2,3]=>[3,2,6,5,4,8,7,1]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]
[1,5,7,2,4,8,3,6]=>[1,7,8,4,5,6,2,3]=>[3,2,6,5,4,8,7,1]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]
[1,6,5,7,2,4,3,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[1,6,7,2,4,3,8,5]=>[1,8,6,4,5,3,7,2]=>[2,7,3,5,4,6,8,1]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[1,5,8,2,4,6,7,3]=>[1,8,7,4,5,6,3,2]=>[2,3,6,5,4,7,8,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[1,5,7,2,4,6,8,3]=>[1,8,6,4,5,3,7,2]=>[2,7,3,5,4,6,8,1]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[1,5,7,8,3,2,4,6]=>[1,7,8,6,5,4,2,3]=>[3,2,4,5,6,8,7,1]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[1,7,6,2,8,3,4,5]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,5,8,7,3,2,4,6]=>[1,7,8,6,5,4,2,3]=>[3,2,4,5,6,8,7,1]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[1,4,2,3,5,8,7,6]=>[1,4,3,2,5,8,7,6]=>[6,7,8,5,2,3,4,1]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]
[1,5,2,3,4,8,7,6]=>[1,5,3,4,2,8,7,6]=>[6,7,8,2,4,3,5,1]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]
[1,7,4,2,8,6,5,3]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,7,6,5,2,8,4,3]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,7,5,2,8,4,3,6]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,7,5,6,2,8,3,4]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,6,5,2,3,7,4,8]=>[1,7,5,4,3,6,2,8]=>[8,2,6,3,4,5,7,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[1,6,5,2,3,7,8,4]=>[1,8,5,4,3,6,7,2]=>[2,7,6,3,4,5,8,1]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[1,6,8,4,2,3,7,5]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,7,4,6,2,8,3,5]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,7,3,5,2,8,4,6]=>[1,8,5,7,3,6,4,2]=>[2,4,6,3,7,5,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,6,8,5,2,3,7,4]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,6,4,2,3,7,8,5]=>[1,8,5,4,3,6,7,2]=>[2,7,6,3,4,5,8,1]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[1,6,4,2,3,7,5,8]=>[1,7,5,4,3,6,2,8]=>[8,2,6,3,4,5,7,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[1,5,8,6,2,4,7,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,7,4,2,8,5,3,6]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,7,6,4,2,8,5,3]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,7,5,2,8,6,4,3]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[7,3,5,6,1,4,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,7,5,6,1,4,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,2,4,1,6,7,5,3]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,6,1,4,2,7,5,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,6,1,4,2,8,5,7]=>[5,7,3,4,1,8,2,6]=>[6,2,8,1,4,3,7,5]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]
[6,7,1,4,3,5,8,2]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[7,6,1,4,3,5,8,2]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[4,7,1,6,3,5,8,2]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[6,1,7,4,3,5,8,2]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[7,1,6,4,3,5,8,2]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[8,1,6,4,2,7,5,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,4,1,3,7,2,5,6]=>[8,6,3,4,7,2,5,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[4,7,1,3,8,2,5,6]=>[6,8,3,4,7,1,5,2]=>[2,5,1,7,4,3,8,6]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[7,4,1,3,8,2,5,6]=>[8,6,3,4,7,2,5,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[4,7,3,1,2,8,5,6]=>[5,8,4,3,1,7,6,2]=>[2,6,7,1,3,4,8,5]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[4,7,8,1,2,6,5,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,8,1,4,2,7,5,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,8,6,4,2,7,5,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,8,1,3,7,2,5,6]=>[6,8,3,4,7,1,5,2]=>[2,5,1,7,4,3,8,6]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[8,7,1,3,6,2,5,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,8,5,7,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,8,3,4,7,6,1,5]=>[7,8,3,4,6,5,1,2]=>[2,1,5,6,4,3,8,7]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]
[3,7,8,4,6,2,1,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[3,7,4,6,8,2,1,5]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[2,4,3,7,8,6,1,5]=>[7,3,2,8,6,5,1,4]=>[4,1,5,6,8,2,3,7]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]
[1,4,7,3,8,2,5,6]=>[1,6,8,4,7,2,5,3]=>[3,5,2,7,4,8,6,1]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[5,7,6,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,7,5,4,8,2,1,6]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[6,1,4,3,8,2,5,7]=>[7,2,6,4,8,3,1,5]=>[5,1,3,8,4,6,2,7]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]
[4,1,7,3,8,2,5,6]=>[6,2,8,4,7,1,5,3]=>[3,5,1,7,4,8,2,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[8,1,4,3,7,2,5,6]=>[8,2,6,4,7,3,5,1]=>[1,5,3,7,4,6,2,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[8,2,3,4,7,6,1,5]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[4,2,3,7,8,6,1,5]=>[7,3,2,8,6,5,1,4]=>[4,1,5,6,8,2,3,7]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]
[2,7,5,6,3,8,1,4]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[5,7,2,6,3,8,1,4]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,7,2,6,8,4,1,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,2,5,6,8,4,1,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,2,3,8,5,6,1,7]=>[7,3,2,8,5,6,1,4]=>[4,1,6,5,8,2,3,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[5,2,3,8,7,6,1,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,2,3,7,5,6,1,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,1,8,3,7,2,5,4]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,7,8,4,2,6,5,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,1,8,2,5,6,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,7,4,8,5,2,1,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[2,4,3,8,5,6,1,7]=>[7,3,2,8,5,6,1,4]=>[4,1,6,5,8,2,3,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[1,4,8,3,6,2,5,7]=>[1,6,8,4,7,2,5,3]=>[3,5,2,7,4,8,6,1]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[7,5,8,6,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,5,8,7,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,7,6,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,5,3,8,7,6,1,4]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[3,7,5,8,6,2,1,4]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[3,7,8,6,5,2,1,4]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[1,8,7,3,6,2,5,4]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,8,7,5,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,7,6,8,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,7,6,8,4,5,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,5,4,7,6,8,2,3]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,7,4,6,5,8,2,3]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[3,7,4,6,5,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,5,4,8,6,7,1,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,8,4,6,5,7,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,6,4,7,5,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[1,6,2,7,5,8,3,4]=>[1,8,3,7,5,6,4,2]=>[2,4,6,5,7,3,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,6,4,8,5,7,2,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,4,6,5,7,2,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,5,4,8,6,7,2,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,8,1,5,4,6,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,8,1,5,2,4,3,6]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,8,2,6,5,7,3,4]=>[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,7,2,8,5,6,3,4]=>[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,7,2,6,5,8,3,4]=>[1,8,3,7,5,6,4,2]=>[2,4,6,5,7,3,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,5,2,7,6,8,3,4]=>[1,8,3,7,5,6,4,2]=>[2,4,6,5,7,3,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,7,6,8,2,5,3,4]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,7,6,8,4,5,2,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,6,8,1,4,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,5,6,1,3,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,6,7,1,3,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,3,2,7,6,8,4,5]=>[1,3,2,8,7,6,5,4]=>[4,5,6,7,8,2,3,1]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]
[1,7,6,8,2,4,3,5]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,8,1,3,2,6,4,5]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[7,8,1,6,2,4,3,5]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,8,6,7,2,4,3,5]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,8,1,4,2,6,3,5]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,8,1,4,2,5,3,6]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,8,2,1,4,3,6,5]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[7,8,1,2,4,3,5,6]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[4,3,6,5,8,7,1,2]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[3,4,6,5,7,8,1,2]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[1,6,2,3,8,7,4,5]=>[1,8,3,4,7,6,5,2]=>[2,5,6,7,4,3,8,1]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[1,2,6,5,3,7,8,4]=>[1,2,8,5,4,6,7,3]=>[3,7,6,4,5,8,2,1]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]
[1,3,7,5,2,6,8,4]=>[1,5,8,6,2,4,7,3]=>[3,7,4,2,6,8,5,1]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]
[1,3,7,4,2,6,8,5]=>[1,5,8,4,2,6,7,3]=>[3,7,6,2,4,8,5,1]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]
[1,2,6,4,3,7,8,5]=>[1,2,8,5,4,6,7,3]=>[3,7,6,4,5,8,2,1]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]
[1,4,7,3,2,5,8,6]=>[1,5,8,4,2,6,7,3]=>[3,7,6,2,4,8,5,1]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]
[1,4,3,2,5,8,6,7]=>[1,4,3,2,5,8,7,6]=>[6,7,8,5,2,3,4,1]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]
[1,5,3,2,4,8,6,7]=>[1,5,4,3,2,8,7,6]=>[6,7,8,2,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]
[1,7,5,3,2,8,6,4]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,5,3,2,4,8,7,6]=>[1,5,4,3,2,8,7,6]=>[6,7,8,2,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]
[7,6,5,4,3,1,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,8,5,4,3,2,1,7]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[8,7,6,5,4,3,1,9,2]=>[9,7,6,5,4,3,2,8,1]=>[1,8,2,3,4,5,6,7,9]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]]
[7,9,6,5,4,3,2,1,8]=>[8,9,7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7,9,8]=>[[.,.],[.,[.,[.,[.,[.,[[.,.],.]]]]]]]
[9,8,7,6,5,4,3,1,10,2]=>[10,8,7,6,5,4,3,2,9,1]=>[1,9,2,3,4,5,6,7,8,10]=>[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]]
[7,1,5,4,3,8,6,2]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[3,6,5,4,8,1,7,2]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[6,8,1,4,3,2,7,5]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,8,5,4,3,7,1,6]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[8,10,7,6,5,4,3,2,1,9]=>[9,10,8,7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7,8,10,9]=>[[.,.],[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]
[7,6,1,4,3,8,5,2]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[4,6,5,8,3,1,7,2]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[6,8,5,1,3,2,7,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,8,5,4,7,2,1,6]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[7,6,5,1,3,8,4,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[1,6,3,4,8,7,5,2]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,4,5,8,3,7,6,2]=>[1,8,5,7,3,6,4,2]=>[2,4,6,3,7,5,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[6,8,5,4,1,2,7,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,8,5,2,3,7,6,4]=>[1,8,7,4,5,6,3,2]=>[2,3,6,5,4,7,8,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[6,8,2,4,3,7,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,5,8,4,3,2,1,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,5,7,3,2,1,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[5,1,7,6,8,4,3,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,4,8,5,2,7,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,1,8,6,7,4,3,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,4,7,5,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,4,6,8,2,1,7,3]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[6,4,5,8,1,2,7,3]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[7,4,6,5,2,1,8,3]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,4,6,5,2,1,7,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,7,5,6,1,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,7,5,1,8,4,3,6]=>[4,8,7,1,6,5,3,2]=>[2,3,5,6,1,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[5,1,8,7,4,2,3,6]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[2,8,6,7,4,3,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,6,5,2,4,1,8,7]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[5,2,3,6,4,1,8,7]=>[6,5,3,4,2,1,8,7]=>[7,8,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]
[6,1,4,5,3,2,8,7]=>[6,2,5,4,3,1,8,7]=>[7,8,1,3,4,5,2,6]=>[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]
[3,8,7,1,4,6,5,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,7,1,2,4,3,8,6]=>[6,8,3,4,5,1,7,2]=>[2,7,1,5,4,3,8,6]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]
[4,3,7,6,8,2,5,1]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[5,3,6,8,1,7,2,4]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[3,2,6,8,5,7,1,4]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[6,3,7,2,4,8,5,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,4,8,6,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,1,8,2,5,4,3,6]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[2,5,3,7,4,1,8,6]=>[6,5,3,8,2,1,7,4]=>[4,7,1,2,8,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[3,6,4,7,5,1,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,4,7,6,2,3,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,7,1,2,5,6,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,2,8,7,3,5,6,1]=>[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[8,1,7,4,2,5,6,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,4,3,8,2,5,6,1]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[6,4,1,5,8,2,7,3]=>[8,6,3,4,7,2,5,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[2,5,8,7,3,6,1,4]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[2,1,5,8,7,4,6,3]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[8,3,5,6,7,4,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,4,3,2,8,5,6,1]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[4,2,7,1,8,5,6,3]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[4,1,7,2,8,5,6,3]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[2,4,8,7,3,5,6,1]=>[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[4,7,8,3,1,5,6,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,4,7,2,8,5,6,1]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[3,7,1,4,8,5,6,2]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[7,2,3,4,8,5,6,1]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[6,1,8,5,2,7,4,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,1,7,4,5,8,6,3]=>[2,1,8,7,5,6,4,3]=>[3,4,6,5,7,8,1,2]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[8,2,1,6,4,7,5,3]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[7,8,2,6,4,1,5,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,6,3,5,8,7,1,4]=>[7,8,3,4,6,5,1,2]=>[2,1,5,6,4,3,8,7]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]
[7,6,2,1,5,8,4,3]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[4,5,2,7,6,1,8,3]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[5,1,6,8,4,7,2,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,6,8,7,5,2,1,4]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[7,4,8,6,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,1,6,4,7,3,2,5]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,6,4,1,2,3,8,5]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[2,6,4,8,5,3,7,1]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[7,3,5,8,4,2,1,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,7,1,5,2,3,6]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,8,7,5,6,1,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,1,4,8,7,3,5,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,2,8,4,3,5,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,7,8,1,3,5,6,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,7,3,4,1,5,6,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,2,7,3,5,6,1]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[3,1,8,7,2,5,6,4]=>[5,2,8,7,1,6,4,3]=>[3,4,6,1,7,8,2,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[3,8,1,7,2,5,6,4]=>[5,8,3,7,1,6,4,2]=>[2,4,6,1,7,3,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[8,2,3,7,1,5,6,4]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[6,4,8,7,1,3,2,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,8,4,6,7,3,1,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[4,3,8,2,7,6,1,5]=>[7,4,8,2,6,5,1,3]=>[3,1,5,6,2,8,4,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[6,8,4,2,1,3,7,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,2,4,3,5,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,8,3,7,1,5,6,4]=>[5,8,3,7,1,6,4,2]=>[2,4,6,1,7,3,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[8,1,2,7,3,5,6,4]=>[8,2,3,7,5,6,4,1]=>[1,4,6,5,7,3,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[6,4,1,3,2,8,5,7]=>[7,5,3,4,2,8,1,6]=>[6,1,8,2,4,3,5,7]=>[[.,[.,[[.,.],[.,.]]]],[[.,.],.]]
[5,3,8,6,2,1,4,7]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[4,6,5,2,8,3,1,7]=>[7,6,4,3,8,2,1,5]=>[5,1,2,8,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[4,3,7,5,1,8,2,6]=>[7,5,8,4,2,6,1,3]=>[3,1,6,2,4,8,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[6,8,5,2,7,4,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,2,5,4,3,8,1,6]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,8,1,2,4,5,3,7]=>[7,8,3,4,6,5,1,2]=>[2,1,5,6,4,3,8,7]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]
[8,1,6,2,4,5,3,7]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[3,8,6,1,2,5,4,7]=>[5,8,7,4,1,6,3,2]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[5,8,1,6,2,3,4,7]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[4,1,6,5,8,2,3,7]=>[7,2,6,4,8,3,1,5]=>[5,1,3,8,4,6,2,7]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]
[4,3,8,6,2,5,1,7]=>[7,5,8,6,2,4,1,3]=>[3,1,4,2,6,8,5,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[8,3,6,1,4,5,2,7]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,3,6,8,4,5,1,7]=>[7,2,6,8,5,3,1,4]=>[4,1,3,5,8,6,2,7]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]
[2,7,5,4,3,8,1,6]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[6,3,8,7,4,2,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,4,3,7,6,1,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,7,4,3,1,6,2,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,7,4,3,8,6,2,5]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[7,1,5,3,4,8,2,6]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[2,8,6,1,7,4,5,3]=>[4,8,7,1,6,5,3,2]=>[2,3,5,6,1,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[4,8,6,5,7,2,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,7,6,8,2,1,5,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,1,8,7,4,3,5,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,5,4,3,1,6,7,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[1,5,8,6,3,4,7,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,5,8,6,3,4,7,1]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[4,1,3,8,5,6,7,2]=>[8,2,3,7,5,6,4,1]=>[1,4,6,5,7,3,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[6,5,8,4,3,1,7,2]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[4,6,5,2,8,1,7,3]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[7,2,8,1,3,6,4,5]=>[8,4,7,2,5,6,3,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[1,8,5,2,3,6,7,4]=>[1,8,7,4,5,6,3,2]=>[2,3,6,5,4,7,8,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[2,8,3,1,5,6,7,4]=>[4,8,3,1,7,6,5,2]=>[2,5,6,7,1,3,8,4]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[4,8,3,2,5,6,7,1]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[8,2,3,1,5,6,7,4]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[3,1,2,7,8,6,4,5]=>[3,2,1,8,7,6,5,4]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[7,5,1,8,2,4,3,6]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,5,8,1,2,4,7,6]=>[5,6,8,4,1,2,7,3]=>[3,7,2,1,4,8,6,5]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]
[4,5,8,1,2,3,7,6]=>[6,5,8,4,2,1,7,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[4,2,7,1,8,6,3,5]=>[7,4,8,2,6,5,1,3]=>[3,1,5,6,2,8,4,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[3,8,4,1,2,6,7,5]=>[5,8,4,3,1,7,6,2]=>[2,6,7,1,3,4,8,5]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[5,4,8,2,3,6,7,1]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[5,8,3,6,7,4,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,3,1,6,8,4,7,5]=>[3,2,1,8,7,6,5,4]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[2,4,3,7,1,8,5,6]=>[5,3,2,8,1,7,6,4]=>[4,6,7,1,8,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[2,7,1,4,3,8,5,6]=>[3,8,1,5,4,7,6,2]=>[2,6,7,4,5,1,8,3]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[2,4,1,8,6,3,7,5]=>[3,6,1,8,7,2,5,4]=>[4,5,2,7,8,1,6,3]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]
[8,4,1,3,6,2,7,5]=>[8,6,3,4,7,2,5,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[6,8,5,1,7,2,3,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,3,6,5,8,2,1,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,6,3,5,8,2,1,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,5,8,7,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,5,2,8,6,1,7,4]=>[6,8,3,7,5,1,4,2]=>[2,4,1,5,7,3,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[8,2,5,6,1,4,7,3]=>[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[8,6,5,4,1,2,7,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,6,1,8,3,7,5,4]=>[3,8,1,7,5,6,4,2]=>[2,4,6,5,7,1,8,3]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[4,7,1,6,2,8,5,3]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[6,1,5,3,8,7,2,4]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,6,1,5,8,2,3,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,6,8,5,1,2,7,4]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[6,5,2,4,8,1,7,3]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[5,1,4,8,2,6,7,3]=>[8,2,5,7,3,6,4,1]=>[1,4,6,3,7,5,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[4,8,2,5,1,6,7,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,4,8,5,2,6,7,1]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[4,2,1,8,5,6,7,3]=>[8,3,2,7,5,6,4,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[1,5,4,8,2,6,7,3]=>[1,8,5,7,3,6,4,2]=>[2,4,6,3,7,5,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[7,2,1,5,8,6,3,4]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[2,8,4,5,1,6,7,3]=>[5,8,7,4,1,6,3,2]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[5,4,8,3,7,6,1,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,1,5,8,6,2,7,4]=>[6,2,8,7,5,1,4,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[6,3,4,8,5,1,7,2]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[5,3,4,8,1,6,7,2]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[7,6,1,2,8,3,5,4]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[7,5,8,4,1,2,6,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,5,8,4,6,1,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,5,4,8,7,1,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,5,4,8,1,2,7,3]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[7,5,1,6,2,3,8,4]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[7,5,1,6,8,2,4,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,5,4,1,8,2,7,3]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[6,5,4,7,1,2,8,3]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,5,4,7,8,1,3,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,5,3,7,1,4,2,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,5,3,1,8,4,2,7]=>[7,6,4,3,8,2,1,5]=>[5,1,2,8,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[7,5,1,4,8,3,2,6]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,1,6,4,7,3,5,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,5,1,4,8,3,6,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,5,3,7,1,4,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,4,3,1,5,8,7,2]=>[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[7,4,1,5,3,8,6,2]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[8,1,5,4,3,7,6,2]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[8,1,5,4,3,7,2,6]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[7,4,1,5,3,8,2,6]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[7,4,1,5,3,2,6,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[8,1,5,4,3,2,6,7]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[8,1,6,4,2,5,3,7]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,5,3,1,2,7,4,8]=>[7,5,4,3,2,6,1,8]=>[8,1,6,2,3,4,5,7]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[6,5,3,8,1,4,2,7]=>[7,6,5,8,3,2,1,4]=>[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[7,6,8,1,4,3,2,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,1,7,2,5,4,3,6]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,1,7,2,5,4,6,3]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,6,1,2,5,4,8,3]=>[8,6,3,4,5,2,7,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[6,5,3,8,1,4,7,2]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[6,5,3,1,2,7,8,4]=>[8,5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[7,5,1,4,2,6,8,3]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[8,1,6,4,2,5,7,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,4,1,5,3,2,8,6]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[6,4,3,1,5,2,8,7]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[6,4,3,1,5,7,2,8]=>[7,5,4,3,2,6,1,8]=>[8,1,6,2,3,4,5,7]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[7,4,1,5,3,6,2,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[8,1,5,4,3,6,2,7]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[8,1,5,4,3,6,7,2]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[7,4,1,5,3,6,8,2]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[6,4,3,1,5,7,8,2]=>[8,5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[6,7,3,8,4,5,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,4,5,1,8,2,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,7,5,6,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,7,5,6,1,8,2,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,7,5,6,3,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,7,5,8,4,6,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,5,3,8,6,7,1,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,8,3,6,5,7,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,6,4,7,1,8,2,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,6,1,7,3,8,2,4]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[5,6,1,8,2,7,3,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,6,1,8,4,7,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,8,1,6,5,7,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,5,1,8,6,7,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,8,4,5,1,6,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,2,3,1,6,5,7]=>[5,8,4,3,1,7,6,2]=>[2,6,7,1,3,4,8,5]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[5,6,2,8,1,4,3,7]=>[7,6,5,8,3,2,1,4]=>[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[5,6,3,4,1,8,2,7]=>[7,5,4,3,2,8,1,6]=>[6,1,8,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[3,6,4,5,2,7,1,8]=>[7,5,4,3,2,6,1,8]=>[8,1,6,2,3,4,5,7]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[3,6,4,5,1,8,2,7]=>[7,5,4,3,2,8,1,6]=>[6,1,8,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[2,6,4,8,1,5,3,7]=>[5,7,6,8,1,3,2,4]=>[4,2,3,1,8,6,7,5]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]
[2,8,3,6,1,5,4,7]=>[5,8,3,7,1,6,4,2]=>[2,4,6,1,7,3,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[2,8,3,4,1,6,5,7]=>[5,8,3,4,1,7,6,2]=>[2,6,7,1,4,3,8,5]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[7,8,2,5,3,4,1,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,1,5,3,6,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,5,3,8,6,7,2,4]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,3,6,2,7,4,5]=>[1,8,5,7,3,6,4,2]=>[2,4,6,3,7,5,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,6,4,8,2,7,3,5]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,6,4,7,3,5,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[2,7,3,6,4,5,1,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[1,7,3,6,4,8,2,5]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,7,2,8,4,6,3,5]=>[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,7,5,8,4,6,2,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,7,5,8,2,6,3,4]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,7,5,6,3,8,2,4]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[2,7,5,6,3,4,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,7,2,5,3,4,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,7,1,5,3,8,2,4]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[6,7,5,8,1,4,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,6,7,2,3,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,2,3,1,8,4,5]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,7,2,8,1,4,3,5]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[3,4,2,7,5,6,1,8]=>[7,3,2,6,5,4,1,8]=>[8,1,4,5,6,2,3,7]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[3,4,1,7,5,8,2,6]=>[7,3,2,8,5,6,1,4]=>[4,1,6,5,8,2,3,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[2,7,5,8,1,4,3,6]=>[5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[2,3,1,7,5,8,4,6]=>[3,2,1,8,7,6,5,4]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[2,3,1,8,4,7,5,6]=>[3,2,1,8,5,7,6,4]=>[4,6,7,5,8,1,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[7,8,2,3,1,6,4,5]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,8,2,6,1,4,3,5]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[2,8,6,7,1,4,3,5]=>[5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[2,8,1,4,3,7,5,6]=>[3,8,1,5,4,7,6,2]=>[2,6,7,4,5,1,8,3]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[3,7,2,5,4,6,1,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[4,5,2,7,3,6,1,8]=>[7,5,3,6,2,4,1,8]=>[8,1,4,2,6,3,5,7]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[4,5,1,8,2,7,3,6]=>[7,5,3,8,2,6,1,4]=>[4,1,6,2,8,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[3,4,1,8,2,7,5,6]=>[5,3,2,8,1,7,6,4]=>[4,6,7,1,8,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[3,4,1,8,6,7,2,5]=>[7,3,2,8,6,5,1,4]=>[4,1,5,6,8,2,3,7]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]
[3,4,2,5,1,8,6,7]=>[5,3,2,4,1,8,7,6]=>[6,7,8,1,4,2,3,5]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]
[3,4,2,8,1,6,5,7]=>[5,3,2,8,1,7,6,4]=>[4,6,7,1,8,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[3,8,2,5,1,6,4,7]=>[5,8,3,7,1,6,4,2]=>[2,4,6,1,7,3,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[4,5,2,8,1,6,3,7]=>[7,5,3,8,2,6,1,4]=>[4,1,6,2,8,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[4,5,3,6,1,8,2,7]=>[7,5,3,4,2,8,1,6]=>[6,1,8,2,4,3,5,7]=>[[.,[.,[[.,.],[.,.]]]],[[.,.],.]]
[7,1,5,8,4,6,2,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,6,7,1,4,2,5,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,6,3,7,5,1,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,1,7,3,2,5,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,6,1,8,3,5,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,6,1,3,8,5,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,6,8,2,4,5,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,2,8,3,5,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,2,3,8,5,1,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,7,1,5,2,6,3,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,7,1,5,2,3,6,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,5,2,3,1,7,6,4]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,6,2,3,7,1,5,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,6,2,7,3,1,5,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,7,2,4,1,5,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,7,3,4,1,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,2,5,1,6,3,4]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[8,7,2,1,4,6,3,5]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[8,4,2,1,7,6,3,5]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[8,5,2,7,1,6,3,4]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[8,5,7,2,1,4,3,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,7,3,1,4,2,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[5,8,7,3,1,4,6,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,7,2,1,4,6,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,2,7,1,3,6,4]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[8,4,2,1,3,7,6,5]=>[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[8,7,4,1,2,3,6,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,7,4,1,2,6,3,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,4,3,1,7,2,6,5]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[8,4,3,1,2,7,6,5]=>[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[8,6,1,3,7,2,5,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,5,1,3,2,7,6,4]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[8,5,7,4,1,6,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,7,4,1,2,6,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,1,5,4,2,7,6,3]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[8,1,6,4,7,2,5,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,1,5,8,4,2,7,3]=>[8,2,6,7,5,3,4,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[5,8,3,6,4,1,2,7]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[5,2,8,6,4,1,3,7]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[8,4,7,5,1,6,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,7,5,1,2,6,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,7,5,1,2,3,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,3,5,1,2,6,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,3,2,6,5,1,4,7]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[4,8,6,3,5,1,2,7]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[4,8,7,3,1,5,2,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[8,4,7,2,1,5,3,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,3,2,7,1,5,4,6]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[8,3,2,1,7,6,4,5]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[8,7,3,1,4,2,6,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,7,3,1,6,2,4,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,7,3,1,2,6,4,5]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,7,3,1,2,4,6,5]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,3,2,1,7,4,6,5]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[8,3,2,7,1,5,6,4]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[8,4,7,2,1,5,6,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,8,7,4,1,2,5,6]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[8,7,2,1,6,3,4,5]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[8,7,2,1,3,6,4,5]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[8,7,2,1,3,4,6,5]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[3,6,5,4,1,2,8,7]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[3,8,5,6,7,4,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,7,5,8,6,2,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,5,7,8,6,3,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,5,7,6,3,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,6,3,2,1,5,8,7]=>[5,6,4,3,1,2,8,7]=>[7,8,2,1,3,4,6,5]=>[[[.,.],[.,[.,[[.,.],.]]]],[.,.]]
[6,2,1,5,3,4,8,7]=>[6,3,2,5,4,1,8,7]=>[7,8,1,4,5,2,3,6]=>[[.,[[.,[.,.]],[.,[.,.]]]],[.,.]]
[5,8,1,3,7,6,4,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,7,2,3,6,1,8,5]=>[6,8,4,3,5,1,7,2]=>[2,7,1,5,3,4,8,6]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]
[3,7,4,2,8,1,5,6]=>[6,8,4,3,7,1,5,2]=>[2,5,1,7,3,4,8,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[4,2,6,8,5,7,3,1]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[6,4,2,7,3,8,5,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,1,6,7,5,3,4,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,1,5,8,7,6,3,4]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[6,4,7,8,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,1,3,7,6,2,8,5]=>[6,2,3,8,5,1,7,4]=>[4,7,1,5,8,3,2,6]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]
[8,5,1,6,3,2,7,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,3,7,1,5,2,8,4]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,2,6,8,4,7,5,1]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,4,6,1,3,2,5,7]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[4,2,8,6,7,3,1,5]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[7,4,3,8,2,1,5,6]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[4,7,5,8,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,4,3,2,7,8,1,5]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[3,7,1,4,6,8,5,2]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[7,8,2,5,6,1,4,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,4,3,8,7,5,6,1]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[2,6,7,3,5,1,8,4]=>[6,8,5,4,3,1,7,2]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[7,6,8,4,2,5,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,7,1,6,3,2,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,5,7,2,8,4,3,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,4,8,6,5,2,1,7]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[2,7,6,1,4,5,8,3]=>[4,8,6,1,5,3,7,2]=>[2,7,3,5,1,6,8,4]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[6,5,8,2,1,7,3,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,4,3,5,1,6,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,2,5,8,4,3,7,1]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[8,6,7,1,5,4,3,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,1,6,5,8,4,7,3]=>[2,1,8,6,7,4,5,3]=>[3,5,4,7,6,8,1,2]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[2,1,6,8,5,4,3,7]=>[2,1,7,8,6,5,3,4]=>[4,3,5,6,8,7,1,2]=>[[[.,[.,.]],.],[.,[.,[[.,.],.]]]]
[4,1,8,5,6,2,3,7]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[2,6,4,8,7,3,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,2,8,4,3,5,1,7]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[4,8,2,7,6,1,3,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[3,1,8,2,7,5,4,6]=>[4,2,8,1,7,6,5,3]=>[3,5,6,7,1,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[3,8,1,2,6,7,4,5]=>[4,8,3,1,7,6,5,2]=>[2,5,6,7,1,3,8,4]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[5,8,4,3,2,7,1,6]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[7,4,8,6,3,2,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,4,7,2,1,3,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[2,1,8,4,3,7,5,6]=>[2,1,8,5,4,7,6,3]=>[3,6,7,4,5,8,1,2]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[6,3,8,2,4,5,7,1]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[5,8,4,2,3,6,1,7]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[5,8,2,4,3,1,6,7]=>[6,8,5,4,3,1,7,2]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[2,8,3,1,6,4,5,7]=>[4,8,3,1,7,6,5,2]=>[2,5,6,7,1,3,8,4]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[1,4,8,2,6,3,5,7]=>[1,6,8,4,7,2,5,3]=>[3,5,2,7,4,8,6,1]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[1,2,3,8,4,5,7,6]=>[1,2,3,8,5,6,7,4]=>[4,7,6,5,8,3,2,1]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]
[1,2,8,3,4,5,7,6]=>[1,2,8,4,5,6,7,3]=>[3,7,6,5,4,8,2,1]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]
[1,3,8,2,6,4,5,7]=>[1,4,8,2,7,6,5,3]=>[3,5,6,7,2,8,4,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[1,5,7,2,3,6,4,8]=>[1,7,6,4,5,3,2,8]=>[8,2,3,5,4,6,7,1]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[1,7,2,3,5,4,8,6]=>[1,8,3,4,6,5,7,2]=>[2,7,5,6,4,3,8,1]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]
[1,2,3,8,4,6,7,5]=>[1,2,3,8,5,7,6,4]=>[4,6,7,5,8,3,2,1]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]
[1,8,2,3,5,4,6,7]=>[1,8,3,4,6,5,7,2]=>[2,7,5,6,4,3,8,1]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]
[1,7,8,2,3,6,4,5]=>[1,8,7,4,5,6,3,2]=>[2,3,6,5,4,7,8,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[1,6,7,8,2,3,5,4]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,7,8,2,5,3,6,4]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,7,8,2,4,5,3,6]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,2,8,3,6,4,5,7]=>[1,2,8,4,7,6,5,3]=>[3,5,6,7,4,8,2,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[1,8,2,3,6,4,5,7]=>[1,8,3,4,7,6,5,2]=>[2,5,6,7,4,3,8,1]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[1,2,7,8,3,6,4,5]=>[1,2,8,7,5,6,4,3]=>[3,4,6,5,7,8,2,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[1,5,2,7,8,3,6,4]=>[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,3,2,8,4,6,7,5]=>[1,3,2,8,5,7,6,4]=>[4,6,7,5,8,2,3,1]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[1,7,8,2,4,3,6,5]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[7,6,3,1,5,2,4,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,7,3,1,5,2,8,4]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,8,3,1,5,2,7,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,8,4,5,1,2,7,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,4,5,1,2,8,3]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,2,1,6,5,3,4,8]=>[7,3,2,6,5,4,1,8]=>[8,1,4,5,6,2,3,7]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[7,3,6,1,5,2,4,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,4,6,5,1,2,3,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,7,5,4,1,2,8,3]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,8,6,4,1,7,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,7,6,4,1,8,2,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,6,7,4,1,8,2,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,5,7,4,1,2,8,3]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,4,7,5,1,2,8,3]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,3,8,1,5,2,7,4]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[6,4,8,5,1,2,7,3]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[6,5,8,4,1,2,7,3]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[5,6,8,4,1,7,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,6,8,5,7,1,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,5,8,6,7,1,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,4,8,6,1,7,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,3,8,1,6,7,2,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,2,1,8,6,7,3,4]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[5,2,1,7,6,8,3,4]=>[8,3,2,7,5,6,4,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[5,4,7,6,1,8,2,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,5,7,6,8,1,2,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,6,7,5,8,1,2,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,8,6,5,7,1,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,5,6,7,1,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,7,5,6,8,1,2,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,6,5,7,8,1,2,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,7,4,6,1,8,2,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,8,4,6,1,7,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,3,1,6,7,2,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,7,3,1,6,8,2,4]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,6,3,1,7,8,2,4]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[6,2,1,4,3,8,7,5]=>[8,3,2,5,4,7,6,1]=>[1,6,7,4,5,2,3,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[5,8,3,1,7,6,2,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,7,4,8,1,6,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,2,1,6,8,7,3,4]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[5,4,6,8,1,7,2,3]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[4,5,6,8,7,1,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,7,5,8,6,1,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,5,7,6,1,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,6,7,5,1,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,7,6,8,5,1,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,6,7,8,5,1,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,5,7,8,6,1,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,4,7,8,1,6,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,3,7,1,8,6,2,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,2,1,7,8,6,3,4]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[5,3,8,1,7,6,2,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,4,8,7,1,6,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,6,8,7,5,1,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,7,8,6,5,1,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,7,6,5,1,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,5,4,7,3,6,1,8]=>[7,5,3,6,2,4,1,8]=>[8,1,4,2,6,3,5,7]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[2,4,6,3,7,5,1,8]=>[7,4,6,2,5,3,1,8]=>[8,1,3,5,2,6,4,7]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[4,2,7,3,6,5,1,8]=>[7,4,6,2,5,3,1,8]=>[8,1,3,5,2,6,4,7]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[4,2,6,3,1,5,8,7]=>[5,4,6,2,1,3,8,7]=>[7,8,3,1,2,6,4,5]=>[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]
[2,5,3,7,6,4,1,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[2,6,5,3,7,4,1,8]=>[7,6,4,3,5,2,1,8]=>[8,1,2,5,3,4,6,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[4,2,7,6,3,5,1,8]=>[7,5,6,4,2,3,1,8]=>[8,1,3,2,4,6,5,7]=>[[.,[[.,.],[.,[[.,.],[.,.]]]]],.]
[2,7,5,3,6,4,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[2,6,3,7,5,4,1,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[1,7,5,2,3,8,4,6]=>[1,8,7,4,5,6,3,2]=>[2,3,6,5,4,7,8,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[2,1,3,7,5,4,8,6]=>[2,1,3,8,6,5,7,4]=>[4,7,5,6,8,3,1,2]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]
[2,3,1,8,6,5,4,7]=>[3,2,1,8,7,6,5,4]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[2,5,3,1,8,6,4,7]=>[4,7,3,1,8,6,2,5]=>[5,2,6,8,1,3,7,4]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]
[4,2,8,3,1,6,5,7]=>[5,4,8,2,1,7,6,3]=>[3,6,7,1,2,8,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[8,3,2,6,4,1,5,7]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[3,6,8,2,1,4,5,7]=>[5,7,8,4,1,6,2,3]=>[3,2,6,1,4,8,7,5]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]
[1,5,2,8,3,4,7,6]=>[1,6,3,8,5,2,7,4]=>[4,7,2,5,8,3,6,1]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[1,2,6,3,8,7,4,5]=>[1,2,8,4,7,6,5,3]=>[3,5,6,7,4,8,2,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[1,2,8,3,6,4,7,5]=>[1,2,8,4,7,6,5,3]=>[3,5,6,7,4,8,2,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[2,1,3,8,7,5,4,6]=>[2,1,3,8,7,6,5,4]=>[4,5,6,7,8,3,1,2]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]
[1,2,3,8,6,4,7,5]=>[1,2,3,8,7,6,5,4]=>[4,5,6,7,8,3,2,1]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[1,2,3,7,4,8,6,5]=>[1,2,3,8,5,7,6,4]=>[4,6,7,5,8,3,2,1]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]
[1,2,7,6,3,8,4,5]=>[1,2,8,7,5,6,4,3]=>[3,4,6,5,7,8,2,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[1,2,3,6,4,8,7,5]=>[1,2,3,8,5,7,6,4]=>[4,6,7,5,8,3,2,1]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]
[1,2,3,7,6,4,8,5]=>[1,2,3,8,6,5,7,4]=>[4,7,5,6,8,3,2,1]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]
[2,6,3,1,8,5,4,7]=>[4,7,3,1,8,6,2,5]=>[5,2,6,8,1,3,7,4]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]
[2,1,3,8,5,4,7,6]=>[2,1,3,8,6,5,7,4]=>[4,7,5,6,8,3,1,2]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]
[7,1,8,4,2,3,5,6]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,2,6,3,1,8,5,7]=>[5,4,7,2,1,8,3,6]=>[6,3,8,1,2,7,4,5]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]
[5,4,2,8,3,1,6,7]=>[6,5,3,8,2,1,7,4]=>[4,7,1,2,8,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[3,5,8,2,4,1,6,7]=>[6,5,8,4,2,1,7,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[2,5,4,8,3,1,6,7]=>[6,5,3,8,2,1,7,4]=>[4,7,1,2,8,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[4,2,1,8,3,5,7,6]=>[5,3,2,8,1,6,7,4]=>[4,7,6,1,8,2,3,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[1,8,7,4,2,3,5,6]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,2,8,6,3,7,4,5]=>[1,2,8,7,5,6,4,3]=>[3,4,6,5,7,8,2,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[1,2,7,3,8,6,4,5]=>[1,2,8,4,7,6,5,3]=>[3,5,6,7,4,8,2,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[1,2,3,8,4,7,6,5]=>[1,2,3,8,5,7,6,4]=>[4,6,7,5,8,3,2,1]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]
[1,2,6,3,8,4,7,5]=>[1,2,8,4,7,6,5,3]=>[3,5,6,7,4,8,2,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[1,5,2,3,8,7,4,6]=>[1,7,3,4,8,6,2,5]=>[5,2,6,8,4,3,7,1]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]
[4,2,1,8,3,7,5,6]=>[5,3,2,8,1,7,6,4]=>[4,6,7,1,8,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[8,3,2,1,7,4,5,6]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[1,2,8,6,3,4,7,5]=>[1,2,8,7,5,6,4,3]=>[3,4,6,5,7,8,2,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[1,2,7,3,8,4,6,5]=>[1,2,8,4,7,6,5,3]=>[3,5,6,7,4,8,2,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[1,2,3,8,7,4,6,5]=>[1,2,3,8,7,6,5,4]=>[4,5,6,7,8,3,2,1]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[1,2,3,8,7,6,4,5]=>[1,2,3,8,7,6,5,4]=>[4,5,6,7,8,3,2,1]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[2,5,3,8,1,6,4,7]=>[5,7,3,8,1,6,2,4]=>[4,2,6,1,8,3,7,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[3,8,5,7,1,2,6,4]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[3,8,5,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,4,8,6,2,5,7,1]=>[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[3,4,8,6,1,2,5,7]=>[6,5,8,7,2,1,4,3]=>[3,4,1,2,7,8,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]
[2,5,7,1,4,8,6,3]=>[4,8,7,1,5,6,3,2]=>[2,3,6,5,1,7,8,4]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[2,4,8,1,5,7,6,3]=>[4,8,7,1,5,6,3,2]=>[2,3,6,5,1,7,8,4]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[2,4,3,8,1,6,5,7]=>[5,3,2,8,1,7,6,4]=>[4,6,7,1,8,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[2,8,1,7,5,6,4,3]=>[3,8,1,7,6,5,4,2]=>[2,4,5,6,7,1,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[2,3,8,1,6,5,7,4]=>[4,2,8,1,7,6,5,3]=>[3,5,6,7,1,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[2,4,8,1,3,5,7,6]=>[4,5,8,1,2,6,7,3]=>[3,7,6,2,1,8,5,4]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]
[3,5,7,6,1,2,4,8]=>[6,7,5,4,3,1,2,8]=>[8,2,1,3,4,5,7,6]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[3,5,7,6,2,4,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,8,6,7,2,3,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,6,7,1,2,3,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[4,8,6,7,1,3,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,4,8,6,1,5,7,2]=>[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[3,8,5,7,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,2,8,5,6,1,7,4]=>[6,2,8,7,5,1,4,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[3,8,5,7,2,1,6,4]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[3,4,8,6,2,1,5,7]=>[6,5,8,7,2,1,4,3]=>[3,4,1,2,7,8,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]
[3,5,7,6,2,1,4,8]=>[6,7,5,4,3,1,2,8]=>[8,2,1,3,4,5,7,6]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[4,8,6,7,2,1,3,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[4,8,6,7,3,5,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,6,7,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,6,7,2,1,3,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,6,7,2,1,4,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,6,7,2,1,5,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,3,1,7,5,2,8,6]=>[6,3,2,8,5,1,7,4]=>[4,7,1,5,8,2,3,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[4,3,2,8,5,1,7,6]=>[6,3,2,8,5,1,7,4]=>[4,7,1,5,8,2,3,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[4,3,8,5,1,6,7,2]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[4,8,6,7,1,5,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,6,7,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,6,7,2,3,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,6,7,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,6,7,1,2,4,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,2,3,8,5,1,6,7]=>[6,3,2,8,5,1,7,4]=>[4,7,1,5,8,2,3,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[4,2,8,5,1,7,6,3]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[3,4,2,8,5,6,1,7]=>[7,3,2,8,5,6,1,4]=>[4,1,6,5,8,2,3,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[3,2,5,7,6,1,4,8]=>[6,2,7,5,4,1,3,8]=>[8,3,1,4,5,7,2,6]=>[[[.,[.,.]],[.,[.,[[.,.],.]]]],.]
[4,8,6,7,1,3,2,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[4,8,6,7,1,2,5,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,6,7,2,5,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,3,8,5,2,6,7,1]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[4,3,8,5,1,2,6,7]=>[6,5,8,4,2,1,7,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[4,2,6,7,5,1,3,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[3,8,5,7,1,4,2,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[3,8,4,7,1,5,2,6]=>[7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[3,5,2,8,4,6,1,7]=>[7,5,3,8,2,6,1,4]=>[4,1,6,2,8,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[3,5,1,7,4,6,2,8]=>[7,5,3,6,2,4,1,8]=>[8,1,4,2,6,3,5,7]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[3,8,4,7,2,5,1,6]=>[7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[4,1,3,8,5,2,6,7]=>[6,2,3,8,5,1,7,4]=>[4,7,1,5,8,3,2,6]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]
[4,1,2,6,7,5,3,8]=>[7,2,3,6,5,4,1,8]=>[8,1,4,5,6,3,2,7]=>[[.,[[[.,.],.],[.,[.,[.,.]]]]],.]
[4,2,6,7,5,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,8,6,7,3,2,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,6,7,3,1,2,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[3,1,5,7,6,2,4,8]=>[6,2,7,5,4,1,3,8]=>[8,3,1,4,5,7,2,6]=>[[[.,[.,.]],[.,[.,[[.,.],.]]]],.]
[3,4,1,7,5,6,2,8]=>[7,3,2,6,5,4,1,8]=>[8,1,4,5,6,2,3,7]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[4,1,7,5,2,8,6,3]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[4,8,6,7,2,3,1,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[5,8,6,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,6,7,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,6,7,4,1,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,6,7,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,6,7,3,1,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,6,7,3,1,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,1,6,7,5,3,8,2]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[4,2,8,5,3,1,7,6]=>[6,5,8,4,2,1,7,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[4,2,1,6,7,5,3,8]=>[7,3,2,6,5,4,1,8]=>[8,1,4,5,6,2,3,7]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[4,8,6,7,3,2,1,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[5,8,6,7,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,6,7,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,3,5,8,1,4,2,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,8,7,6,1,4,2,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[5,1,8,3,6,7,2,4]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,4,7,8,5,6,2,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,4,7,1,5,8,6,2]=>[8,4,7,2,5,6,3,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[3,6,1,4,7,8,5,2]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[1,6,8,4,7,5,2,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,8,1,3,5,7,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,6,1,4,3,8,2,5]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[3,8,1,6,5,4,2,7]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[4,1,3,7,5,8,2,6]=>[7,2,3,8,5,6,1,4]=>[4,1,6,5,8,3,2,7]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[6,1,7,3,8,4,2,5]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,1,8,6,3,5,2,4]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,1,7,6,5,8,4,2]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[8,2,7,6,5,3,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,2,6,7,5,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,1,6,7,5,3,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,4,1,6,8,2,5,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,3,8,6,2,7,5,4]=>[1,5,8,7,2,6,4,3]=>[3,4,6,2,7,8,5,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[6,1,3,2,7,8,4,5]=>[8,2,4,3,7,6,5,1]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[1,8,6,2,5,3,4,7]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[4,7,2,6,8,1,5,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,7,3,6,4,5,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,7,8,6,2,1,4,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,7,4,1,6,8,3,5]=>[4,8,7,1,5,6,3,2]=>[2,3,6,5,1,7,8,4]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[3,7,2,4,5,1,6,8]=>[6,7,3,4,5,1,2,8]=>[8,2,1,5,4,3,7,6]=>[[[.,.],[[[.,.],.],[[.,.],.]]],.]
[1,8,6,4,5,2,3,7]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,8,4,6,5,1,3,7]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[3,4,1,7,5,2,6,8]=>[6,3,2,7,5,1,4,8]=>[8,4,1,5,7,2,3,6]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[7,5,8,6,1,2,4,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,6,8,7,3,1,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,5,4,3,6,8,1,7]=>[7,4,3,2,5,8,1,6]=>[6,1,8,5,2,3,4,7]=>[[.,[[.,[.,[.,.]]],.]],[[.,.],.]]
[3,8,5,4,6,2,1,7]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[4,8,2,1,3,7,5,6]=>[5,8,4,3,1,7,6,2]=>[2,6,7,1,3,4,8,5]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[6,4,1,2,7,5,8,3]=>[8,6,3,4,5,2,7,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[4,1,8,3,6,7,5,2]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,3,7,4,5,2,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,3,7,8,5,1,6,2]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[5,4,8,2,7,6,1,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,8,7,6,3,4,1,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[5,8,2,6,3,4,1,7]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[4,1,7,5,8,6,2,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,1,7,8,4,3,6,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,2,7,5,4,3,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,3,8,1,4,7,5,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,8,4,5,6,1,2,7]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[1,4,3,5,7,8,2,6]=>[1,7,3,4,8,6,2,5]=>[5,2,6,8,4,3,7,1]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]
[6,5,8,7,1,3,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,6,7,2,4,8,1,5]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[1,5,2,7,4,3,8,6]=>[1,6,3,8,5,2,7,4]=>[4,7,2,5,8,3,6,1]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[2,8,5,6,4,3,1,7]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[1,8,6,5,4,3,2,7]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,1,5,2,8,4,7,3]=>[8,2,6,4,7,3,5,1]=>[1,5,3,7,4,6,2,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[4,6,1,8,5,7,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,7,1,2,8,5,6,3]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[1,4,7,2,8,5,6,3]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,7,3,5,8,6,2,4]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,5,8,6,1,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,6,8,1,5,7,2,4]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[3,4,6,5,8,1,7,2]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[6,8,1,5,7,2,3,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,1,2,5,8,6,3,4]=>[8,2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[1,7,2,5,8,6,3,4]=>[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,7,6,8,2,3,5,4]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,8,1,2,3,5,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,7,1,5,8,6,3,4]=>[3,8,1,7,6,5,4,2]=>[2,4,5,6,7,1,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[2,4,7,1,8,5,6,3]=>[4,8,7,1,6,5,3,2]=>[2,3,5,6,1,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[4,7,5,8,3,1,6,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,7,2,1,8,5,6,3]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[7,6,8,2,1,3,5,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,2,7,6,8,3,5,4]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[3,7,6,8,2,1,5,4]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[7,4,2,1,6,8,5,3]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[6,7,4,1,8,5,3,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,7,4,3,1,8,5,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,7,4,1,6,8,5,3]=>[4,8,7,1,5,6,3,2]=>[2,3,6,5,1,7,8,4]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[2,3,7,6,8,1,5,4]=>[6,2,8,7,5,1,4,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[7,4,2,6,8,5,1,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,3,2,5,8,6,1,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,1,7,6,8,2,5,4]=>[6,2,8,7,5,1,4,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[3,7,6,8,1,2,5,4]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[1,3,7,6,8,2,5,4]=>[1,6,8,7,5,2,4,3]=>[3,4,2,5,7,8,6,1]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]
[1,7,4,2,6,8,5,3]=>[1,8,7,4,5,6,3,2]=>[2,3,6,5,4,7,8,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[7,4,1,2,6,8,5,3]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[7,1,4,2,8,5,6,3]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,1,8,2,5,4,6,3]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,3,8,4,6,1,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,2,8,1,6,4,5,3]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,1,6,8,5,4,2,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,1,2,6,8,5,4,3]=>[8,2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[1,7,2,6,8,5,4,3]=>[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,7,6,8,3,2,5,4]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,8,3,1,2,5,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,1,5,8,6,3,2,4]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,2,5,8,6,3,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,6,7,1,8,5,4,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,2,6,8,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,8,2,3,1,5,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,7,6,8,3,1,5,4]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[2,7,1,6,8,5,4,3]=>[3,8,1,7,6,5,4,2]=>[2,4,5,6,7,1,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[6,7,3,1,8,5,4,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,7,1,8,5,4,3,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,2,1,6,8,5,4,3]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[7,6,8,3,2,1,5,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,7,8,5,6,1,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,6,5,8,7,1,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,6,4,8,1,2,7,3]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[8,1,5,6,7,2,4,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,4,5,1,8,2,7,3]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[5,4,6,7,1,2,8,3]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,3,6,7,2,1,5,8]=>[6,5,7,4,2,1,3,8]=>[8,3,1,2,4,7,5,6]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[5,3,6,7,1,4,2,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,1,4,6,7,3,2,5]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,3,6,7,4,5,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,2,1,6,8,4,5,3]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[5,2,6,7,1,4,8,3]=>[8,5,6,4,2,3,7,1]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[4,2,6,7,3,1,8,5]=>[6,5,8,4,2,1,7,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[6,2,4,1,5,8,7,3]=>[8,4,5,2,3,7,6,1]=>[1,6,7,3,2,5,4,8]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[7,2,1,5,4,8,6,3]=>[8,3,2,7,5,6,4,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[8,1,4,5,3,7,2,6]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[7,3,1,5,4,8,2,6]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[6,3,4,1,5,8,2,7]=>[7,5,4,3,2,8,1,6]=>[6,1,8,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[5,3,4,2,1,8,6,7]=>[5,4,3,2,1,8,7,6]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[4,3,5,2,7,1,6,8]=>[6,4,3,2,7,1,5,8]=>[8,5,1,7,2,3,4,6]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[5,6,3,8,1,4,2,7]=>[7,6,5,8,3,2,1,4]=>[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[8,1,7,2,4,5,6,3]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,6,1,2,4,5,8,3]=>[8,6,3,4,5,2,7,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[4,7,8,2,3,1,6,5]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[5,6,2,8,1,4,7,3]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[6,5,2,1,3,7,8,4]=>[8,5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[7,5,1,3,2,6,8,4]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[8,1,6,3,2,5,7,4]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[7,4,1,3,5,2,8,6]=>[8,6,3,4,5,2,7,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[5,4,2,3,1,6,8,7]=>[5,4,3,2,1,6,8,7]=>[7,8,6,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]]
[7,3,1,4,5,6,2,8]=>[7,6,3,4,5,2,1,8]=>[8,1,2,5,4,3,6,7]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[8,1,4,3,5,6,2,7]=>[8,2,7,4,5,6,3,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[7,8,4,2,1,6,5,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,4,2,1,5,6,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,2,3,4,8,7,1,5]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[6,2,3,4,7,8,1,5]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[7,8,3,4,6,2,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,3,6,4,2,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,3,5,6,2,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,2,3,8,7,5,1,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,2,3,7,8,5,1,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,2,6,3,8,1,7,4]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[6,3,2,5,8,7,1,4]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[6,3,2,8,4,7,1,5]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,4,3,8,7,5,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,4,3,7,8,5,1,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,2,4,1,7,3,5,8]=>[7,4,6,2,5,3,1,8]=>[8,1,3,5,2,6,4,7]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[6,3,2,7,4,8,1,5]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[6,3,2,5,7,8,1,4]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[5,7,2,3,6,1,8,4]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,8,2,3,6,1,7,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,7,5,8,3,2,1,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[4,5,6,8,3,2,1,7]=>[7,6,5,8,3,2,1,4]=>[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[4,6,8,5,3,2,1,7]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[5,6,1,4,2,3,7,8]=>[6,5,3,4,2,1,7,8]=>[8,7,1,2,4,3,5,6]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[5,6,8,4,3,7,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,6,1,4,2,3,8,7]=>[6,5,3,4,2,1,8,7]=>[7,8,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]
[5,2,8,3,4,1,7,6]=>[6,5,8,4,2,1,7,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[4,5,8,6,3,2,1,7]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[4,6,5,8,3,2,1,7]=>[7,6,5,8,3,2,1,4]=>[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[4,7,5,6,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,2,3,4,5,8,1,7]=>[7,5,3,4,2,8,1,6]=>[6,1,8,2,4,3,5,7]=>[[.,[.,[[.,.],[.,.]]]],[[.,.],.]]
[5,6,2,4,1,7,8,3]=>[8,5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[5,6,2,4,1,8,7,3]=>[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[5,7,2,4,1,8,6,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,1,4,2,8,7,5,3]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,1,4,2,7,8,5,3]=>[8,2,7,4,5,6,3,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[5,8,2,4,1,7,6,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,2,7,4,1,6,8,3]=>[8,5,6,4,2,3,7,1]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[5,4,1,3,7,2,6,8]=>[6,4,3,2,7,1,5,8]=>[8,5,1,7,2,3,4,6]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[5,8,6,4,3,7,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,1,4,2,3,7,6]=>[6,8,3,5,4,1,7,2]=>[2,7,1,4,5,3,8,6]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[5,1,6,3,4,2,7,8]=>[6,2,5,4,3,1,7,8]=>[8,7,1,3,4,5,2,6]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[4,8,6,5,3,2,1,7]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[4,8,5,6,3,2,1,7]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[5,4,7,8,3,2,1,6]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[5,4,8,7,3,2,1,6]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[4,6,8,7,3,2,1,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[4,6,7,8,3,2,1,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[4,7,6,8,3,2,1,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[4,7,8,5,3,2,1,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[5,1,7,4,2,3,6,8]=>[6,2,7,5,4,1,3,8]=>[8,3,1,4,5,7,2,6]=>[[[.,[.,.]],[.,[.,[[.,.],.]]]],.]
[5,8,1,3,4,2,6,7]=>[6,8,3,5,4,1,7,2]=>[2,7,1,4,5,3,8,6]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[4,8,7,5,3,2,1,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[4,7,8,6,3,2,1,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[4,8,7,6,3,2,1,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[4,8,2,6,3,7,5,1]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[4,8,2,3,6,7,5,1]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[4,8,3,1,6,7,5,2]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[4,3,8,1,6,2,5,7]=>[6,4,8,2,7,1,5,3]=>[3,5,1,7,2,8,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[1,4,8,7,3,5,2,6]=>[1,7,8,6,5,4,2,3]=>[3,2,4,5,6,8,7,1]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[4,3,8,7,2,5,1,6]=>[7,5,8,6,2,4,1,3]=>[3,1,4,2,6,8,5,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[5,8,4,3,7,1,6,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,8,1,4,7,2,6,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,8,1,7,4,2,3,6]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[6,8,1,2,4,3,5,7]=>[7,8,3,4,6,5,1,2]=>[2,1,5,6,4,3,8,7]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]
[5,8,7,1,3,4,2,6]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[4,8,7,6,3,1,2,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[5,8,4,7,3,1,2,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[4,3,8,2,7,5,6,1]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[1,4,8,3,7,5,6,2]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,4,3,8,2,6,5,7]=>[1,5,3,8,2,7,6,4]=>[4,6,7,2,8,3,5,1]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[4,3,2,8,1,6,5,7]=>[5,3,2,8,1,7,6,4]=>[4,6,7,1,8,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[4,1,3,8,2,6,5,7]=>[5,2,3,8,1,7,6,4]=>[4,6,7,1,8,3,2,5]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]
[4,1,8,3,7,5,6,2]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[4,1,8,7,3,5,2,6]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[3,7,8,1,5,4,2,6]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[7,3,8,1,5,4,6,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,4,8,1,6,2,5,7]=>[6,4,8,2,7,1,5,3]=>[3,5,1,7,2,8,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[3,4,8,7,2,5,1,6]=>[7,5,8,6,2,4,1,3]=>[3,1,4,2,6,8,5,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[3,4,8,2,7,5,6,1]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[1,2,4,8,3,6,5,7]=>[1,2,5,8,3,7,6,4]=>[4,6,7,3,8,5,2,1]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]
[1,2,4,3,8,6,5,7]=>[1,2,4,3,8,7,6,5]=>[5,6,7,8,3,4,2,1]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]
[3,4,2,1,8,6,5,7]=>[4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[3,4,1,8,2,6,5,7]=>[5,3,2,8,1,7,6,4]=>[4,6,7,1,8,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[3,6,7,8,4,1,2,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[4,1,7,8,5,3,2,6]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[4,1,2,8,3,6,5,7]=>[5,2,3,8,1,7,6,4]=>[4,6,7,1,8,3,2,5]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]
[1,4,3,2,8,6,5,7]=>[1,4,3,2,8,7,6,5]=>[5,6,7,8,2,3,4,1]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]
[4,2,3,1,8,6,5,7]=>[4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[3,7,6,8,4,2,1,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[4,7,1,8,5,2,3,6]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[2,6,8,7,4,3,1,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[3,7,8,6,2,4,1,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[3,7,8,2,6,4,5,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,2,3,8,1,6,5,7]=>[5,3,2,8,1,7,6,4]=>[4,6,7,1,8,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[4,3,1,8,2,6,5,7]=>[5,3,2,8,1,7,6,4]=>[4,6,7,1,8,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[1,4,7,8,5,3,2,6]=>[1,7,8,6,5,4,2,3]=>[3,2,4,5,6,8,7,1]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[4,3,7,8,5,2,1,6]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[3,7,2,8,4,6,5,1]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,2,8,6,3,1,5,7]=>[6,5,8,7,2,1,4,3]=>[3,4,1,2,7,8,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]
[2,6,8,4,7,3,1,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[2,4,8,6,3,1,5,7]=>[6,5,8,7,2,1,4,3]=>[3,4,1,2,7,8,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]
[7,3,6,8,4,2,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,2,8,3,5,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,7,3,8,4,6,5,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,3,4,8,2,6,5,7]=>[1,5,3,8,2,7,6,4]=>[4,6,7,2,8,3,5,1]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[3,2,4,8,1,6,5,7]=>[5,2,3,8,1,7,6,4]=>[4,6,7,1,8,3,2,5]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]
[7,3,8,6,2,4,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,3,8,2,6,4,5,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,4,8,3,6,1,5,7]=>[6,4,8,2,7,1,5,3]=>[3,5,1,7,2,8,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[6,2,8,7,4,3,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,4,1,8,5,2,6,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,3,2,8,4,6,5,1]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,4,3,1,8,6,5,7]=>[4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[1,3,4,2,8,6,5,7]=>[1,4,3,2,8,7,6,5]=>[5,6,7,8,2,3,4,1]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]
[1,3,2,4,8,6,5,7]=>[1,3,2,4,8,7,6,5]=>[5,6,7,8,4,2,3,1]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]
[3,2,1,4,8,6,5,7]=>[3,2,1,4,8,7,6,5]=>[5,6,7,8,4,1,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]
[3,1,2,4,8,6,5,7]=>[3,2,1,4,8,7,6,5]=>[5,6,7,8,4,1,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]
[3,1,4,2,8,6,5,7]=>[4,2,3,1,8,7,6,5]=>[5,6,7,8,1,3,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]
[3,1,4,8,2,6,5,7]=>[5,2,3,8,1,7,6,4]=>[4,6,7,1,8,3,2,5]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]
[7,3,4,8,5,1,6,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,7,4,8,5,1,2,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[6,7,2,8,3,5,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,3,1,4,8,6,5,7]=>[3,2,1,4,8,7,6,5]=>[5,6,7,8,4,1,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]
[2,1,3,4,8,6,5,7]=>[2,1,3,4,8,7,6,5]=>[5,6,7,8,4,3,1,2]=>[[[[.,[.,.]],.],.],[.,[.,[.,.]]]]
[1,2,3,4,8,6,5,7]=>[1,2,3,4,8,7,6,5]=>[5,6,7,8,4,3,2,1]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]
[4,8,3,6,2,1,5,7]=>[6,8,5,7,3,1,4,2]=>[2,4,1,3,7,5,8,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[3,6,5,8,2,4,1,7]=>[7,6,5,8,3,2,1,4]=>[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[5,3,8,7,2,4,6,1]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[2,8,4,5,7,3,6,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,4,5,7,3,8,1,6]=>[7,5,3,8,2,6,1,4]=>[4,1,6,2,8,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[6,2,4,5,8,3,1,7]=>[7,6,4,3,8,2,1,5]=>[5,1,2,8,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[4,8,1,2,5,6,3,7]=>[7,8,3,4,5,6,1,2]=>[2,1,6,5,4,3,8,7]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]
[8,1,3,5,2,6,4,7]=>[8,2,5,7,3,6,4,1]=>[1,4,6,3,7,5,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[5,2,1,6,3,8,4,7]=>[7,3,2,5,4,8,1,6]=>[6,1,8,4,5,2,3,7]=>[[.,[[.,[.,.]],[.,.]]],[[.,.],.]]
[6,2,5,1,8,4,3,7]=>[7,4,6,2,8,3,1,5]=>[5,1,3,8,2,6,4,7]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]
[6,1,4,5,8,3,2,7]=>[7,2,6,4,8,3,1,5]=>[5,1,3,8,4,6,2,7]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]
[5,6,4,8,1,3,2,7]=>[7,6,5,8,3,2,1,4]=>[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[6,5,4,3,8,2,1,7]=>[7,6,4,3,8,2,1,5]=>[5,1,2,8,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[5,4,3,7,2,8,1,6]=>[7,5,3,8,2,6,1,4]=>[4,1,6,2,8,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[5,8,4,3,7,2,6,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,6,8,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,4,6,3,2,8,1,5]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[1,4,3,6,2,7,8,5]=>[1,5,3,8,2,6,7,4]=>[4,7,6,2,8,3,5,1]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[1,5,4,3,7,2,8,6]=>[1,6,4,3,8,2,7,5]=>[5,7,2,8,3,4,6,1]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[4,7,8,5,3,1,2,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[5,7,3,4,1,2,8,6]=>[6,8,5,4,3,1,7,2]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[8,5,4,7,6,2,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,7,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,3,8,1,6,7,5,2]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[4,7,8,3,6,1,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,3,8,6,7,4,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,3,8,6,4,7,5,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,6,2,7,4,1,5,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,2,1,4,3,8,5]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[7,6,1,3,4,2,8,5]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[3,2,6,8,5,7,4,1]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,8,2,3,6,7,4,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,5,2,3,1,6,8,4]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,1,7,5,2,8,4,6]=>[5,2,8,7,1,6,4,3]=>[3,4,6,1,7,8,2,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[2,5,7,4,1,8,3,6]=>[5,7,8,4,1,6,2,3]=>[3,2,6,1,4,8,7,5]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]
[4,2,6,1,7,8,3,5]=>[7,4,8,2,5,6,1,3]=>[3,1,6,5,2,8,4,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[4,2,7,6,3,8,1,5]=>[7,5,8,4,2,6,1,3]=>[3,1,6,2,4,8,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[6,4,8,7,2,3,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,2,6,8,7,4,5,1]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,2,7,4,1,6,8,5]=>[5,2,8,4,1,6,7,3]=>[3,7,6,1,4,8,2,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[6,3,2,1,7,8,4,5]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[3,7,1,8,4,2,5,6]=>[6,8,3,7,5,1,4,2]=>[2,4,1,5,7,3,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[4,2,1,3,7,5,8,6]=>[4,3,2,1,8,6,7,5]=>[5,7,6,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[8,1,3,7,4,2,6,5]=>[8,2,6,7,5,3,4,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[8,4,3,7,6,2,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,3,5,2,7,6,1,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,6,2,8,7,1,5,4]=>[6,8,3,7,5,1,4,2]=>[2,4,1,5,7,3,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[7,3,2,8,1,6,5,4]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[3,8,7,2,6,5,4,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,2,7,8,6,1,5,3]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[6,8,2,4,7,1,5,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,2,1,8,7,3,6,4]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[8,2,1,6,3,7,5,4]=>[8,3,2,7,5,6,4,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[6,8,3,1,7,5,2,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,8,1,6,7,2,4,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,2,8,1,5,7,4,3]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[5,7,8,2,6,1,4,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,2,5,6,4,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,7,5,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,2,6,8,1,5,4,3]=>[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[1,2,7,8,5,6,4,3]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[7,4,8,1,6,2,5,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,7,1,8,2,6,5,4]=>[5,8,3,7,1,6,4,2]=>[2,4,6,1,7,3,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[8,2,1,7,6,5,4,3]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[8,1,4,7,6,5,3,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,6,7,5,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,6,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,4,3,2,1,6,7]=>[6,8,5,4,3,1,7,2]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[6,4,7,3,2,1,8,5]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,4,7,3,2,1,6,8]=>[6,5,7,4,2,1,3,8]=>[8,3,1,2,4,7,5,6]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[6,5,3,7,2,1,4,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,8,3,6,2,1,4,7]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[6,3,7,8,2,1,4,5]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[5,3,7,6,2,1,4,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[3,8,7,6,2,1,4,5]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[5,8,4,2,6,1,3,7]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[4,8,7,2,5,1,3,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[5,8,3,2,6,1,4,7]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[4,8,3,2,5,1,7,6]=>[6,8,4,3,5,1,7,2]=>[2,7,1,5,3,4,8,6]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]
[4,3,7,2,5,1,8,6]=>[6,4,8,2,5,1,7,3]=>[3,7,1,5,2,8,4,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[6,4,2,7,5,1,3,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,3,2,7,5,1,4,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[5,3,2,6,7,1,4,8]=>[7,6,3,4,5,2,1,8]=>[8,1,2,5,4,3,6,7]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[3,8,2,6,5,1,4,7]=>[6,8,3,7,5,1,4,2]=>[2,4,1,5,7,3,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[6,2,7,8,5,1,3,4]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[5,2,7,6,8,1,3,4]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[4,2,7,6,5,1,3,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[2,8,7,6,5,1,3,4]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[6,5,4,3,1,7,8,2]=>[8,5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[6,4,7,3,1,5,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,4,7,3,1,8,6,2]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[6,4,3,7,1,5,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,3,7,8,1,4,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,3,7,6,1,4,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,3,7,6,1,5,8,2]=>[8,5,6,4,2,3,7,1]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[3,8,7,6,1,4,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,5,4,2,1,7,3,8]=>[7,5,4,3,2,6,1,8]=>[8,1,6,2,3,4,5,7]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[6,4,7,2,1,5,3,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,8,7,2,1,5,3,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[5,8,3,2,1,4,7,6]=>[6,8,5,4,3,1,7,2]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[4,8,3,2,1,5,7,6]=>[5,8,4,3,1,6,7,2]=>[2,7,6,1,3,4,8,5]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[5,3,7,2,1,4,8,6]=>[6,5,8,4,2,1,7,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[3,8,7,2,1,4,5,6]=>[5,8,7,4,1,6,3,2]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[6,5,2,7,1,4,3,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,8,2,6,1,4,3,7]=>[7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[6,4,2,7,1,5,3,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,4,2,6,1,8,3,7]=>[7,5,3,4,2,8,1,6]=>[6,1,8,2,4,3,5,7]=>[[.,[.,[[.,.],[.,.]]]],[[.,.],.]]
[4,3,2,6,1,5,8,7]=>[5,3,2,6,1,4,8,7]=>[7,8,4,1,6,2,3,5]=>[[[.,[.,[.,.]]],[[.,.],.]],[.,.]]
[6,2,7,8,1,4,3,5]=>[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[4,2,7,6,1,5,3,8]=>[7,5,6,4,2,3,1,8]=>[8,1,3,2,4,6,5,7]=>[[.,[[.,.],[.,[[.,.],[.,.]]]]],.]
[3,2,7,6,1,4,5,8]=>[5,2,7,6,1,4,3,8]=>[8,3,4,1,6,7,2,5]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[6,5,4,1,8,7,3,2]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[5,8,4,1,6,7,3,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,4,7,1,5,8,3,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,4,7,1,6,8,3,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,8,7,1,5,6,3,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,8,3,1,5,6,7,2]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[3,8,7,1,5,4,6,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,8,2,1,6,4,3,7]=>[7,8,4,3,6,5,1,2]=>[2,1,5,6,3,4,8,7]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]
[6,2,7,1,5,4,3,8]=>[7,4,6,2,5,3,1,8]=>[8,1,3,5,2,6,4,7]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[5,2,7,1,6,4,3,8]=>[7,4,6,2,5,3,1,8]=>[8,1,3,5,2,6,4,7]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[4,2,7,1,5,6,3,8]=>[7,4,6,2,5,3,1,8]=>[8,1,3,5,2,6,4,7]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[3,2,7,1,5,4,6,8]=>[4,2,7,1,6,5,3,8]=>[8,3,5,6,1,7,2,4]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[2,8,7,1,5,4,3,6]=>[4,8,7,1,6,5,3,2]=>[2,3,5,6,1,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[6,5,1,7,8,4,3,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,8,1,6,7,4,3,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,4,1,7,5,8,3,2]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[5,4,1,6,7,8,3,2]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[4,8,1,6,5,7,3,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,3,1,7,5,4,8,2]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[5,3,1,6,7,4,8,2]=>[8,6,3,4,5,2,7,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[3,8,1,6,5,4,7,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,2,1,6,7,4,3,8]=>[7,3,2,6,5,4,1,8]=>[8,1,4,5,6,2,3,7]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[4,2,1,6,5,7,3,8]=>[7,3,2,5,4,6,1,8]=>[8,1,6,4,5,2,3,7]=>[[.,[[[.,[.,.]],[.,.]],[.,.]]],.]
[2,8,1,6,5,4,3,7]=>[3,8,1,7,6,5,4,2]=>[2,4,5,6,7,1,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[6,1,7,8,5,4,3,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,1,7,6,5,8,3,2]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[3,1,7,6,5,4,8,2]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[4,5,8,1,2,6,3,7]=>[7,5,8,4,2,6,1,3]=>[3,1,6,2,4,8,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[1,4,5,7,2,6,3,8]=>[1,7,5,6,3,4,2,8]=>[8,2,4,3,6,5,7,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[1,7,3,5,6,2,4,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[8,1,3,5,7,2,4,6]=>[8,2,6,7,5,3,4,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[3,4,5,6,8,1,7,2]=>[8,6,3,4,7,2,5,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[4,5,8,2,6,7,1,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,2,3,5,6,7,1,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,1,2,3,5,4,6,7]=>[8,2,3,4,6,5,7,1]=>[1,7,5,6,4,3,2,8]=>[.,[[[[[.,.],.],.],[.,.]],[.,.]]]
[2,7,8,1,3,5,4,6]=>[4,8,7,1,5,6,3,2]=>[2,3,6,5,1,7,8,4]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[2,7,8,3,5,6,1,4]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[2,4,5,7,8,1,6,3]=>[6,8,3,7,5,1,4,2]=>[2,4,1,5,7,3,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[4,5,8,1,7,6,3,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,5,8,7,2,1,6,3]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[8,7,3,5,6,2,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,2,1,3,5,4,6]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[3,6,8,7,2,1,5,4]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[8,6,4,1,7,5,3,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,6,4,3,1,8,5,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,3,6,7,8,1,5,4]=>[6,2,8,7,5,1,4,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[3,6,8,1,2,5,4,7]=>[5,7,8,4,1,6,2,3]=>[3,2,6,1,4,8,7,5]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]
[7,4,1,8,5,2,3,6]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,1,4,2,8,3,6,5]=>[8,2,6,4,7,3,5,1]=>[1,5,3,7,4,6,2,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[7,1,8,2,5,3,6,4]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,1,7,5,4,2,3,6]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,7,6,3,2,5,4,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[8,6,3,1,2,5,4,7]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,1,7,6,3,2,4,5]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,2,5,7,6,3,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,6,8,1,7,5,4,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,2,6,7,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,7,8,6,3,1,5,4]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[2,7,8,1,6,5,4,3]=>[4,8,7,1,6,5,3,2]=>[2,3,5,6,1,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[7,3,1,8,6,5,4,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,7,2,1,6,5,4,3]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[8,7,6,3,2,1,5,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,1,8,6,3,7,4,5]=>[2,1,8,7,5,6,4,3]=>[3,4,6,5,7,8,1,2]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[8,6,1,5,2,7,4,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,5,1,7,4,2,6,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,1,7,5,4,3,8,6]=>[2,1,8,6,5,4,7,3]=>[3,7,4,5,6,8,1,2]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[2,1,8,4,5,3,6,7]=>[2,1,8,6,5,4,7,3]=>[3,7,4,5,6,8,1,2]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[2,1,7,8,3,6,5,4]=>[2,1,8,7,5,6,4,3]=>[3,4,6,5,7,8,1,2]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[2,1,8,5,7,6,3,4]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,4,8,5,7,3,6]=>[2,1,7,8,5,6,3,4]=>[4,3,6,5,8,7,1,2]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]
[2,1,5,4,6,8,3,7]=>[2,1,7,4,5,8,3,6]=>[6,3,8,5,4,7,1,2]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]
[8,5,3,1,6,2,4,7]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,5,1,4,6,8,3,2]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[6,4,1,5,2,3,8,7]=>[6,5,3,4,2,1,8,7]=>[7,8,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]
[8,3,7,5,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,3,7,4,6,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,8,3,7,6,2,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,2,4,8,6,3,1,7]=>[7,6,3,8,5,2,1,4]=>[4,1,2,5,8,3,6,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[4,2,6,3,8,5,1,7]=>[7,4,6,2,8,3,1,5]=>[5,1,3,8,2,6,4,7]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]
[4,6,3,2,7,8,1,5]=>[7,8,4,3,5,6,1,2]=>[2,1,6,5,3,4,8,7]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]
[3,8,2,4,7,5,1,6]=>[7,8,3,4,6,5,1,2]=>[2,1,5,6,4,3,8,7]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]
[3,6,8,7,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,2,7,4,6,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,2,1,7,6,4,3]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[6,3,8,1,5,7,4,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,4,2,3,1,8,6,5]=>[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[7,2,4,3,1,5,8,6]=>[8,5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[7,8,3,1,5,4,6,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,2,8,1,4,6,5,3]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[5,6,1,4,3,2,8,7]=>[6,5,3,4,2,1,8,7]=>[7,8,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]
[5,7,1,8,3,6,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,8,1,4,5,3,2,7]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[6,7,1,5,4,3,8,2]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[8,7,5,1,3,4,2,6]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,5,7,1,3,8,2,4]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,2,6,1,4,7,3,5]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[5,8,1,6,3,7,4,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,3,5,6,1,7,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,5,4,8,2,1,3,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,3,6,5,4,1,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,3,6,4,5,1,2,7]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,3,5,8,1,6,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,3,5,4,1,2,8,7]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[2,6,3,5,1,4,8,7]=>[5,6,3,4,1,2,8,7]=>[7,8,2,1,4,3,6,5]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]
[2,7,8,5,1,6,4,3]=>[5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[8,7,3,6,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,8,3,4,6,1,5,7]=>[6,8,3,4,7,1,5,2]=>[2,5,1,7,4,3,8,6]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[2,7,4,3,6,1,8,5]=>[6,8,4,3,5,1,7,2]=>[2,7,1,5,3,4,8,6]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]
[3,4,7,2,8,1,5,6]=>[6,4,8,2,7,1,5,3]=>[3,5,1,7,2,8,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[3,2,8,4,7,1,6,5]=>[6,2,8,4,7,1,5,3]=>[3,5,1,7,4,8,2,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[8,2,4,7,5,1,6,3]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[3,8,4,7,1,6,5,2]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[3,2,4,6,1,5,8,7]=>[5,2,3,6,1,4,8,7]=>[7,8,4,1,6,3,2,5]=>[[[.,[[.,.],.]],[[.,.],.]],[.,.]]
[8,3,4,5,7,6,1,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,8,4,6,5,7,1,3]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[2,4,3,5,8,7,1,6]=>[7,3,2,4,8,6,1,5]=>[5,1,6,8,4,2,3,7]=>[[.,[[.,[.,.]],.]],[.,[[.,.],.]]]
[5,6,8,1,4,2,7,3]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[1,5,7,8,4,6,2,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,3,5,7,8,6,2,4]=>[1,7,8,6,5,4,2,3]=>[3,2,4,5,6,8,7,1]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[3,5,7,8,6,1,2,4]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[3,5,1,6,8,2,7,4]=>[6,8,3,4,7,1,5,2]=>[2,5,1,7,4,3,8,6]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[3,1,5,6,8,2,7,4]=>[6,2,8,4,7,1,5,3]=>[3,5,1,7,4,8,2,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[2,3,5,6,8,1,7,4]=>[6,2,8,4,7,1,5,3]=>[3,5,1,7,4,8,2,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[5,6,4,8,2,1,7,3]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[5,1,6,3,8,4,7,2]=>[8,2,6,4,7,3,5,1]=>[1,5,3,7,4,6,2,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[2,5,1,6,8,3,7,4]=>[3,8,1,6,7,4,5,2]=>[2,5,4,7,6,1,8,3]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[5,7,1,8,6,2,3,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,5,2,7,8,6,3,4]=>[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,6,7,5,2,8,3,4]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[6,1,7,5,2,8,3,4]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[2,6,7,5,1,8,3,4]=>[5,8,7,4,1,6,3,2]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[5,7,2,8,6,1,3,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,5,7,8,6,2,1,4]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[5,1,7,8,6,3,4,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,1,3,7,8,6,4,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,2,7,8,4,6,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,2,5,7,8,6,1,4]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[6,2,7,5,1,8,3,4]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[1,2,6,7,5,8,3,4]=>[1,2,8,7,5,6,4,3]=>[3,4,6,5,7,8,2,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[6,2,7,5,4,1,8,3]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,7,5,2,4,1,8,3]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,7,2,5,3,8,1,4]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,7,4,5,2,1,8,3]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,1,7,8,6,4,3,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,5,7,8,6,3,1,4]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[5,1,7,8,6,3,2,4]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,3,7,5,1,8,2,4]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[1,6,7,5,3,8,2,4]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[6,7,5,1,4,2,8,3]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,7,8,6,4,1,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,1,7,2,6,5,8,3]=>[8,2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[2,4,7,1,5,6,8,3]=>[4,8,6,1,5,3,7,2]=>[2,7,3,5,1,6,8,4]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[6,7,4,1,5,2,8,3]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[1,6,3,7,5,8,2,4]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[6,3,1,7,5,8,2,4]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[2,5,3,7,8,6,1,4]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[6,7,5,4,2,1,8,3]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,3,2,7,5,8,1,4]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[6,7,4,2,5,1,8,3]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,2,7,4,5,1,8,3]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,2,3,7,5,8,1,4]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[4,5,1,6,3,2,8,7]=>[6,5,3,4,2,1,8,7]=>[7,8,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]
[7,5,1,6,3,8,2,4]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[7,5,1,6,3,8,4,2]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[2,7,6,1,3,8,4,5]=>[4,8,7,1,5,6,3,2]=>[2,3,6,5,1,7,8,4]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[2,7,6,1,3,8,5,4]=>[4,8,7,1,5,6,3,2]=>[2,3,6,5,1,7,8,4]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[7,3,5,1,8,2,6,4]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[7,3,5,1,8,2,4,6]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[3,7,5,1,8,6,2,4]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[2,6,7,1,5,8,3,4]=>[4,8,7,1,5,6,3,2]=>[2,3,6,5,1,7,8,4]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[2,6,7,4,1,8,3,5]=>[5,8,7,4,1,6,3,2]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[2,1,6,7,3,8,5,4]=>[2,1,8,7,5,6,4,3]=>[3,4,6,5,7,8,1,2]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[2,6,7,4,1,8,5,3]=>[5,8,7,4,1,6,3,2]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[2,6,7,1,5,8,4,3]=>[4,8,7,1,5,6,3,2]=>[2,3,6,5,1,7,8,4]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[3,6,5,1,8,4,7,2]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[3,6,5,1,8,4,2,7]=>[7,6,4,3,8,2,1,5]=>[5,1,2,8,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[3,7,5,4,8,1,6,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,7,5,4,8,1,2,6]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[4,6,1,5,8,7,3,2]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[4,6,1,5,8,7,2,3]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[4,6,1,5,8,2,7,3]=>[8,6,3,4,7,2,5,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[7,5,1,6,2,8,3,4]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[7,5,1,6,2,8,4,3]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[4,7,1,5,8,3,6,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,8,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[10,11,9,8,7,6,5,4,3,2,1]=>[11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]
[7,9,6,5,4,3,2,8,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[8,9,6,5,4,3,2,1,7]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[6,8,5,4,3,7,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,4,3,2,1,7,6]=>[6,8,5,4,3,1,7,2]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[6,5,4,3,1,8,7,2]=>[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[8,7,5,4,3,1,6,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[9,7,6,5,4,3,1,8,2]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[11,10,9,8,7,6,5,4,3,1,2]=>[11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]
[8,3,4,6,2,1,5,7]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[3,5,6,2,1,8,4,7]=>[5,7,4,3,1,8,2,6]=>[6,2,8,1,3,4,7,5]=>[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]
[7,5,3,2,8,4,1,6]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,5,3,2,8,4,6,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,4,5,7,3,8,6,1]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[4,2,8,1,5,6,3,7]=>[7,4,8,2,5,6,1,3]=>[3,1,6,5,2,8,4,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[2,5,6,1,8,4,3,7]=>[4,7,6,1,8,3,2,5]=>[5,2,3,8,1,6,7,4]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]
[5,3,6,8,1,4,2,7]=>[7,6,5,8,3,2,1,4]=>[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[4,5,6,8,1,3,2,7]=>[7,6,5,8,3,2,1,4]=>[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[1,4,5,6,8,3,2,7]=>[1,7,6,4,8,3,2,5]=>[5,2,3,8,4,6,7,1]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]
[4,5,6,3,8,2,1,7]=>[7,6,4,3,8,2,1,5]=>[5,1,2,8,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[4,5,3,7,2,8,6,1]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[6,4,7,3,2,8,5,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,1,4,7,3,2,8,5]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[1,7,8,4,5,3,2,6]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,1,7,3,8,4,2,6]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[2,5,1,7,4,3,8,6]=>[3,6,1,8,5,2,7,4]=>[4,7,2,5,8,1,6,3]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[2,5,7,4,1,8,6,3]=>[5,8,7,4,1,6,3,2]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[5,3,7,1,4,8,6,2]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[6,4,3,1,7,8,5,2]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[6,4,1,7,3,8,5,2]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[5,6,3,7,8,4,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,1,6,3,7,8,4,2]=>[8,2,7,4,5,6,3,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[5,6,1,3,7,8,4,2]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[5,6,1,7,8,3,4,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,6,3,7,4,8,5,2]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[6,7,2,4,1,8,5,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,7,2,1,4,3,8,5]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[6,4,7,3,1,2,8,5]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,6,3,1,2,7,8,4]=>[8,5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[5,6,1,3,2,7,8,4]=>[8,5,3,4,2,6,7,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]
[5,6,3,2,1,7,8,4]=>[8,5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[2,5,6,3,7,8,4,1]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[2,5,6,3,1,7,8,4]=>[5,8,4,3,1,6,7,2]=>[2,7,6,1,3,4,8,5]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[2,6,4,7,3,1,8,5]=>[6,8,5,4,3,1,7,2]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[6,3,7,2,8,4,5,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,3,7,2,8,4,1,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,3,2,7,1,8,4,5]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[7,5,3,2,1,8,4,6]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,3,8,4,2,1,5,6]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[4,7,2,1,3,8,6,5]=>[5,8,4,3,1,7,6,2]=>[2,6,7,1,3,4,8,5]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[1,3,7,8,6,4,2,5]=>[1,7,8,6,5,4,2,3]=>[3,2,4,5,6,8,7,1]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[7,3,8,4,6,2,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,7,3,8,2,1,6,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,3,7,8,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,6,2,7,8,5,3,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,6,2,1,7,8,5,3]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[7,4,5,8,1,2,6,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,5,1,7,3,8,6,4]=>[3,8,1,7,5,6,4,2]=>[2,4,6,5,7,1,8,3]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[6,7,2,1,3,8,5,4]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[5,1,6,7,8,2,4,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,3,7,1,8,5,2,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,2,1,7,3,8,5,4]=>[8,3,2,7,5,6,4,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[6,2,7,1,8,5,4,3]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,3,1,7,8,5,4,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,1,3,6,8,2,5,7]=>[6,2,3,7,8,1,4,5]=>[5,4,1,8,7,3,2,6]=>[[[.,[[.,.],.]],.],[[[.,.],.],.]]
[4,2,3,6,8,1,5,7]=>[6,3,2,7,8,1,4,5]=>[5,4,1,8,7,2,3,6]=>[[[.,[.,[.,.]]],.],[[[.,.],.],.]]
[5,3,2,1,8,4,7,6]=>[6,4,3,2,8,1,7,5]=>[5,7,1,8,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[3,6,5,8,2,1,7,4]=>[6,8,5,7,3,1,4,2]=>[2,4,1,3,7,5,8,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[4,5,2,1,3,8,7,6]=>[5,4,3,2,1,8,7,6]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[3,2,6,4,5,8,1,7]=>[7,2,5,4,3,8,1,6]=>[6,1,8,3,4,5,2,7]=>[[.,[[.,.],[.,[.,.]]]],[[.,.],.]]
[2,4,6,5,8,1,3,7]=>[6,7,4,3,8,1,2,5]=>[5,2,1,8,3,4,7,6]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]
[1,6,2,4,5,8,3,7]=>[1,7,3,5,4,8,2,6]=>[6,2,8,4,5,3,7,1]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]
[5,3,2,1,6,8,4,7]=>[7,4,3,2,5,8,1,6]=>[6,1,8,5,2,3,4,7]=>[[.,[[.,[.,[.,.]]],.]],[[.,.],.]]
[6,2,4,5,8,1,3,7]=>[7,6,4,3,8,2,1,5]=>[5,1,2,8,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[1,3,4,6,5,8,2,7]=>[1,7,3,5,4,8,2,6]=>[6,2,8,4,5,3,7,1]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]
[3,4,1,8,5,2,7,6]=>[6,3,2,8,5,1,7,4]=>[4,7,1,5,8,2,3,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[2,8,4,1,7,6,3,5]=>[4,8,7,1,6,5,3,2]=>[2,3,5,6,1,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[8,1,4,2,7,3,6,5]=>[8,2,6,4,7,3,5,1]=>[1,5,3,7,4,6,2,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[1,5,3,2,8,7,4,6]=>[1,7,4,3,8,6,2,5]=>[5,2,6,8,3,4,7,1]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]
[8,2,1,7,5,3,4,6]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[1,7,6,4,5,8,3,2]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[5,8,7,4,1,2,6,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,7,4,6,2,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,4,2,5,8,6,7,1]=>[8,3,2,4,7,6,5,1]=>[1,5,6,7,4,2,3,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[4,1,3,5,6,8,7,2]=>[8,2,3,4,5,7,6,1]=>[1,6,7,5,4,3,2,8]=>[.,[[[[[.,.],.],.],.],[.,[.,.]]]]
[2,4,8,6,7,1,3,5]=>[6,7,8,5,4,1,2,3]=>[3,2,1,4,5,8,7,6]=>[[[.,.],.],[.,[.,[[[.,.],.],.]]]]
[4,3,6,2,8,1,7,5]=>[6,4,8,2,7,1,5,3]=>[3,5,1,7,2,8,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[3,7,4,8,2,1,6,5]=>[6,8,5,7,3,1,4,2]=>[2,4,1,3,7,5,8,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[2,3,5,8,6,7,1,4]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[2,1,8,5,6,7,3,4]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[1,2,8,3,5,6,7,4]=>[1,2,8,4,7,6,5,3]=>[3,5,6,7,4,8,2,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[4,2,3,7,1,8,6,5]=>[5,3,2,8,1,7,6,4]=>[4,6,7,1,8,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[3,2,6,4,8,1,7,5]=>[6,2,8,4,7,1,5,3]=>[3,5,1,7,4,8,2,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[8,2,1,6,7,3,4,5]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[2,7,8,5,4,1,3,6]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[1,7,5,3,8,4,2,6]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,5,3,1,2,8,6]=>[6,8,5,4,3,1,7,2]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[7,2,4,8,5,3,1,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,3,1,2,7,6,5]=>[5,8,4,3,1,7,6,2]=>[2,6,7,1,3,4,8,5]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[3,5,2,7,4,1,8,6]=>[6,5,3,8,2,1,7,4]=>[4,7,1,2,8,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[8,4,2,3,7,1,5,6]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[2,8,4,7,1,3,5,6]=>[5,8,6,7,1,3,4,2]=>[2,4,3,1,7,6,8,5]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]
[8,2,4,6,7,1,3,5]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[4,8,2,3,6,7,1,5]=>[7,8,4,3,6,5,1,2]=>[2,1,5,6,3,4,8,7]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]
[3,5,2,7,6,1,8,4]=>[6,8,3,5,4,1,7,2]=>[2,7,1,4,5,3,8,6]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[1,6,3,2,5,8,7,4]=>[1,8,4,3,5,7,6,2]=>[2,6,7,5,3,4,8,1]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]
[5,8,3,2,1,6,7,4]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,8,7,3,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,2,7,4,1,6,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,1,4,2,8,7,6,3]=>[8,2,4,3,7,6,5,1]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[4,7,6,5,8,2,1,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,3,7,1,6,2,8,4]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,2,6,8,7,1,3,4]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[6,3,2,1,8,5,7,4]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[2,7,5,4,1,8,6,3]=>[5,8,7,4,1,6,3,2]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[4,2,5,6,8,7,1,3]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[1,8,4,2,5,6,7,3]=>[1,8,7,4,5,6,3,2]=>[2,3,6,5,4,7,8,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[3,8,4,1,5,6,7,2]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[4,2,8,5,6,7,1,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,2,4,7,1,8,6,3]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[5,3,4,7,1,8,6,2]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[8,6,4,1,3,2,5,7]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,1,3,6,5,2,4,7]=>[8,2,6,7,5,3,4,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[8,1,4,3,6,5,2,7]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[3,6,5,2,1,8,7,4]=>[5,8,4,3,1,7,6,2]=>[2,6,7,1,3,4,8,5]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[8,3,2,4,6,5,1,7]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[8,4,2,1,6,5,3,7]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[8,4,1,2,6,5,3,7]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[8,6,4,2,1,5,3,7]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,3,6,4,1,5,2,7]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,2,6,3,4,5,1,7]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,3,4,8,5,7,2,6]=>[1,7,3,8,5,6,2,4]=>[4,2,6,5,8,3,7,1]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[5,8,4,7,6,2,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,3,4,7,5,8,2,6]=>[1,7,3,8,5,6,2,4]=>[4,2,6,5,8,3,7,1]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[1,3,5,2,4,8,7,6]=>[1,4,5,2,3,8,7,6]=>[6,7,8,3,2,5,4,1]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]
[2,6,5,1,3,8,7,4]=>[4,8,5,1,3,7,6,2]=>[2,6,7,3,1,5,8,4]=>[[.,.],[[.,[[.,.],.]],[.,[.,.]]]]
[4,7,1,6,5,8,3,2]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[5,4,8,7,6,3,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,8,5,1,4,7,6,3]=>[4,8,7,1,5,6,3,2]=>[2,3,6,5,1,7,8,4]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[4,3,1,5,8,6,7,2]=>[8,3,2,4,7,6,5,1]=>[1,5,6,7,4,2,3,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[4,1,3,5,8,6,7,2]=>[8,2,3,4,7,6,5,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[6,5,3,8,4,7,1,2]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[6,8,4,3,2,7,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,4,7,8,2,1,6,5]=>[6,5,8,7,2,1,4,3]=>[3,4,1,2,7,8,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]
[5,1,3,2,8,6,7,4]=>[8,2,4,3,7,6,5,1]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[5,3,1,2,8,6,7,4]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[5,3,2,1,8,6,7,4]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[2,4,7,3,8,1,6,5]=>[6,4,8,2,7,1,5,3]=>[3,5,1,7,2,8,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[6,3,8,2,7,4,1,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,2,1,3,6,4,7,5]=>[8,3,2,4,7,6,5,1]=>[1,5,6,7,4,2,3,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[3,5,1,7,8,4,2,6]=>[7,6,3,8,5,2,1,4]=>[4,1,2,5,8,3,6,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[2,7,4,5,8,3,1,6]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[3,4,8,7,2,1,6,5]=>[6,5,8,7,2,1,4,3]=>[3,4,1,2,7,8,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]
[5,4,7,8,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,4,3,8,7,2,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,3,8,7,4,1,2,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,5,7,2,4,8,1,6]=>[7,5,8,4,2,6,1,3]=>[3,1,6,2,4,8,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[8,4,7,2,3,1,5,6]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[8,4,7,1,3,2,5,6]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[8,4,7,2,1,3,5,6]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[8,6,4,2,1,3,7,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,4,1,3,2,7,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,6,4,2,3,1,7,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,5,7,2,6,1,8,4]=>[6,8,5,4,3,1,7,2]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[6,1,3,8,5,7,2,4]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,8,3,2,6,7,1,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,8,5,3,6,2,7,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,8,1,5,4,7,6,3]=>[3,8,1,7,5,6,4,2]=>[2,4,6,5,7,1,8,3]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,5,8,7,4,6,2,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,1,7,6,4,5,8,3]=>[2,1,8,6,5,4,7,3]=>[3,7,4,5,6,8,1,2]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[1,7,2,4,6,5,8,3]=>[1,8,3,6,5,4,7,2]=>[2,7,4,5,6,3,8,1]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[3,5,1,7,6,8,2,4]=>[7,8,3,5,4,6,1,2]=>[2,1,6,4,5,3,8,7]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[5,8,2,6,1,3,7,4]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[6,3,5,8,7,2,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,5,7,8,4,1,6,3]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[4,2,8,1,5,6,7,3]=>[8,4,7,2,5,6,3,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[4,2,8,5,1,6,7,3]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[4,1,8,5,2,6,7,3]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[2,7,1,8,5,4,6,3]=>[3,8,1,7,6,5,4,2]=>[2,4,5,6,7,1,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[5,8,6,2,1,3,7,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,2,4,1,5,6,7,3]=>[8,4,7,2,5,6,3,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[4,6,3,5,8,1,7,2]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[1,7,8,3,5,4,6,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,4,5,1,8,6,7,2]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[3,8,1,4,5,6,7,2]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[3,4,5,7,1,8,6,2]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[3,4,5,7,8,2,6,1]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[3,4,6,2,8,5,1,7]=>[7,4,6,2,8,3,1,5]=>[5,1,3,8,2,6,4,7]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]
[3,4,6,8,1,5,2,7]=>[7,5,6,8,2,3,1,4]=>[4,1,3,2,8,6,5,7]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]
[3,4,7,2,1,8,6,5]=>[5,4,8,2,1,7,6,3]=>[3,6,7,1,2,8,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[3,4,7,8,1,5,6,2]=>[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[3,4,8,2,1,5,6,7]=>[5,4,8,2,1,6,7,3]=>[3,7,6,1,2,8,4,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[3,5,2,6,7,8,1,4]=>[7,8,3,4,5,6,1,2]=>[2,1,6,5,4,3,8,7]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]
[3,5,2,7,8,4,6,1]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[3,5,2,8,4,1,6,7]=>[6,5,3,8,2,1,7,4]=>[4,7,1,2,8,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[3,5,6,2,8,4,1,7]=>[7,6,4,3,8,2,1,5]=>[5,1,2,8,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[3,5,6,8,4,1,2,7]=>[7,6,5,8,3,2,1,4]=>[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[3,5,7,2,4,8,6,1]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[3,5,7,2,8,4,6,1]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[3,5,7,8,4,1,6,2]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[3,6,2,1,7,8,5,4]=>[4,8,3,1,7,6,5,2]=>[2,5,6,7,1,3,8,4]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[3,6,2,1,8,5,4,7]=>[4,7,3,1,8,6,2,5]=>[5,2,6,8,1,3,7,4]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]
[3,6,7,2,4,8,5,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,6,7,2,8,5,4,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,6,7,8,4,5,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,7,2,1,4,8,6,5]=>[4,8,3,1,5,7,6,2]=>[2,6,7,5,1,3,8,4]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]
[3,7,2,1,8,5,6,4]=>[4,8,3,1,7,6,5,2]=>[2,5,6,7,1,3,8,4]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[3,7,2,8,4,5,6,1]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,7,8,2,4,5,6,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,8,2,1,4,5,6,7]=>[4,8,3,1,5,6,7,2]=>[2,7,6,5,1,3,8,4]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]
[4,1,5,6,7,8,3,2]=>[8,2,7,4,5,6,3,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[4,1,5,7,3,8,6,2]=>[8,2,5,7,3,6,4,1]=>[1,4,6,3,7,5,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[4,1,6,3,7,8,5,2]=>[8,2,7,4,5,6,3,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[4,1,6,3,8,5,2,7]=>[7,2,6,4,8,3,1,5]=>[5,1,3,8,4,6,2,7]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]
[4,1,6,7,3,8,5,2]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[4,1,6,7,8,5,2,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,1,6,8,3,5,2,7]=>[7,2,6,8,5,3,1,4]=>[4,1,3,5,8,6,2,7]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]
[4,1,7,3,2,8,6,5]=>[5,2,8,4,1,7,6,3]=>[3,6,7,1,4,8,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[4,1,7,8,3,5,6,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,1,8,3,2,5,6,7]=>[5,2,8,4,1,6,7,3]=>[3,7,6,1,4,8,2,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[4,5,2,6,7,8,3,1]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[4,5,6,3,8,1,2,7]=>[7,6,4,3,8,2,1,5]=>[5,1,2,8,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[4,5,6,8,3,1,2,7]=>[7,6,5,8,3,2,1,4]=>[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[4,5,7,3,8,1,6,2]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[4,5,8,3,2,1,6,7]=>[6,5,8,4,2,1,7,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[4,6,2,3,7,8,5,1]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[4,6,2,3,8,5,1,7]=>[7,6,4,3,8,2,1,5]=>[5,1,2,8,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[4,6,2,7,3,8,5,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,6,2,7,8,5,1,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,6,7,3,2,8,5,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,6,8,3,2,5,1,7]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[4,7,2,3,1,8,6,5]=>[5,8,4,3,1,7,6,2]=>[2,6,7,1,3,4,8,5]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[4,7,2,8,3,5,6,1]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[4,7,8,3,2,5,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,2,3,1,5,6,7]=>[5,8,4,3,1,6,7,2]=>[2,7,6,1,3,4,8,5]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[5,1,2,6,8,4,3,7]=>[7,2,3,6,8,4,1,5]=>[5,1,4,8,6,3,2,7]=>[[.,[[[.,.],.],.]],[[.,[.,.]],.]]
[5,1,2,7,4,8,6,3]=>[8,2,3,7,5,6,4,1]=>[1,4,6,5,7,3,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[5,1,2,7,8,4,6,3]=>[8,2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[5,1,2,8,4,3,6,7]=>[6,2,3,8,5,1,7,4]=>[4,7,1,5,8,3,2,6]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]
[5,1,6,3,8,4,2,7]=>[7,2,6,4,8,3,1,5]=>[5,1,3,8,4,6,2,7]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]
[5,1,6,7,4,8,2,3]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[5,1,6,7,8,4,2,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,6,2,3,8,4,1,7]=>[7,6,4,3,8,2,1,5]=>[5,1,2,8,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[5,6,2,7,8,4,1,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,6,8,3,4,2,1,7]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[5,7,2,3,4,8,6,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,7,2,3,8,4,6,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,7,8,3,4,2,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,2,3,4,1,6,7]=>[6,8,5,4,3,1,7,2]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[6,1,2,3,7,8,5,4]=>[8,2,3,4,7,6,5,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[6,1,2,3,8,5,4,7]=>[7,2,3,4,8,6,1,5]=>[5,1,6,8,4,3,2,7]=>[[.,[[[.,.],.],.]],[.,[[.,.],.]]]
[6,1,2,7,8,5,4,3]=>[8,2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[6,1,7,3,4,8,5,2]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[6,1,7,3,8,5,4,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,1,7,8,4,5,3,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,1,8,3,4,5,2,7]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[6,7,2,3,8,5,4,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,7,2,8,4,5,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,2,3,4,5,1,7]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[7,1,2,3,4,8,6,5]=>[8,2,3,4,5,7,6,1]=>[1,6,7,5,4,3,2,8]=>[.,[[[[[.,.],.],.],.],[.,[.,.]]]]
[7,1,2,8,4,5,6,3]=>[8,2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[7,1,8,3,4,5,6,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,4,1,8,2,3,7,5]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[5,8,1,2,4,3,7,6]=>[6,8,3,4,5,1,7,2]=>[2,7,1,5,4,3,8,6]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]
[3,5,8,6,1,2,4,7]=>[6,7,8,5,4,1,2,3]=>[3,2,1,4,5,8,7,6]=>[[[.,.],.],[.,[.,[[[.,.],.],.]]]]
[3,1,6,8,2,4,7,5]=>[5,2,8,7,1,6,4,3]=>[3,4,6,1,7,8,2,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[3,6,2,8,1,5,7,4]=>[5,8,3,7,1,6,4,2]=>[2,4,6,1,7,3,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,7,5,2,3,4,6,8]=>[1,7,6,4,5,3,2,8]=>[8,2,3,5,4,6,7,1]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[2,7,5,1,3,8,4,6]=>[4,8,7,1,5,6,3,2]=>[2,3,6,5,1,7,8,4]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[8,2,5,7,4,6,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,2,1,3,7,6,4,5]=>[8,3,2,4,7,6,5,1]=>[1,5,6,7,4,2,3,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[8,2,5,1,3,7,4,6]=>[8,4,7,2,5,6,3,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[8,2,7,5,3,1,6,4]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[8,2,6,5,4,7,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,5,2,4,8,1,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,8,2,5,3,1,6,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,1,8,6,3,2,4,5]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,8,1,5,3,2,4,7]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[1,6,7,5,3,2,4,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[6,5,1,2,4,8,3,7]=>[7,5,3,4,2,8,1,6]=>[6,1,8,2,4,3,5,7]=>[[.,[.,[[.,.],[.,.]]]],[[.,.],.]]
[7,8,1,6,4,2,3,5]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,4,1,2,5,6,3,7]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[1,7,3,6,5,2,4,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[8,1,3,7,2,6,4,5]=>[8,2,5,7,3,6,4,1]=>[1,4,6,3,7,5,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[7,3,2,6,5,1,8,4]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[7,8,4,2,5,6,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,2,7,4,5,6,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,2,3,6,5,1,7,4]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[7,9,8,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[6,9,8,7,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[5,9,8,7,6,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[4,9,8,7,6,5,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[3,9,8,7,6,5,4,2,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[2,9,8,7,6,5,4,3,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[8,10,9,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[6,9,7,8,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[7,10,9,8,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[4,8,6,5,7,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,9,8,6,7,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[6,10,9,8,7,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[3,8,7,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,5,6,7,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,9,8,7,5,6,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[5,10,9,8,7,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[2,8,7,6,4,3,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,8,7,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,9,8,7,6,4,5,2,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[4,10,9,8,7,6,5,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[1,8,7,6,5,3,2,4]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,8,7,6,3,4,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,9,8,7,6,5,3,4,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[3,10,9,8,7,6,5,4,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[1,8,7,6,5,2,3,4]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,9,8,7,6,5,4,2,3]=>[1,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,10,9,8,7,6,5,4,3,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,2,8,5,4,6,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,3,2,8,5,1,7,4]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[8,4,7,2,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,5,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,6,4,1,3,7,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,6,1,5,3,7,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,6,1,8,5,2,7,4]=>[6,8,3,7,5,1,4,2]=>[2,4,1,5,7,3,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[3,4,1,2,8,6,7,5]=>[4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[6,8,3,5,4,1,7,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,2,5,8,3,6,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,7,5,6,3,4,2,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[7,2,6,8,5,3,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,3,8,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,2,6,4,8,3,1,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,5,7,4,2,6,3,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[4,2,3,1,7,8,5,6]=>[4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[5,2,8,4,1,7,6,3]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[8,6,3,4,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,3,4,5,1,7,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,3,2,1,5,4,7,6]=>[8,4,3,2,6,5,7,1]=>[1,7,5,6,2,3,4,8]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[6,3,7,1,5,8,4,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,5,1,8,4,3,7,6]=>[3,6,1,8,5,2,7,4]=>[4,7,2,5,8,1,6,3]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[6,2,5,4,8,1,3,7]=>[7,6,4,3,8,2,1,5]=>[5,1,2,8,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[4,3,1,6,5,8,2,7]=>[7,3,2,5,4,8,1,6]=>[6,1,8,4,5,2,3,7]=>[[.,[[.,[.,.]],[.,.]]],[[.,.],.]]
[6,1,3,4,5,8,2,7]=>[7,2,5,4,3,8,1,6]=>[6,1,8,3,4,5,2,7]=>[[.,[[.,.],[.,[.,.]]]],[[.,.],.]]
[8,3,4,1,5,2,7,6]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[7,5,4,2,6,8,3,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,2,6,4,1,7,3,5]=>[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[7,3,8,4,5,2,1,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,2,5,1,8,4,3,6]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,7,2,1,5,3,4,6]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[3,6,1,5,8,7,4,2]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[8,3,6,4,5,1,7,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,4,6,8,1,2,7,3]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[6,4,7,2,3,5,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,8,4,1,3,5,7,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,4,7,8,6,2,5,1]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[4,1,3,5,7,8,6,2]=>[8,2,3,4,7,6,5,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[6,5,1,8,4,7,3,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,3,1,8,4,7,6,2]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[8,2,7,4,6,1,3,5]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[4,7,3,2,8,1,6,5]=>[6,8,4,3,7,1,5,2]=>[2,5,1,7,3,4,8,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[6,3,1,4,7,2,8,5]=>[8,6,3,4,5,2,7,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[8,7,3,6,1,5,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,4,3,6,8,2,5,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,4,7,3,8,5,6,1]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[2,8,6,1,5,7,3,4]=>[4,8,7,1,6,5,3,2]=>[2,3,5,6,1,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[7,8,2,5,4,3,1,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,3,7,4,2,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,7,3,2,4,1,8,6]=>[6,8,5,4,3,1,7,2]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[2,8,3,4,7,1,5,6]=>[6,8,3,4,7,1,5,2]=>[2,5,1,7,4,3,8,6]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[4,1,3,6,7,8,2,5]=>[7,2,3,8,5,6,1,4]=>[4,1,6,5,8,3,2,7]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[3,8,1,5,6,2,7,4]=>[6,8,3,7,5,1,4,2]=>[2,4,1,5,7,3,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[8,2,5,6,1,7,4,3]=>[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[7,1,5,2,8,6,4,3]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,5,4,8,7,2,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,8,6,4,5,2,7,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,5,3,6,2,7,4]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,5,4,1,8,7,6,3]=>[4,8,3,1,7,6,5,2]=>[2,5,6,7,1,3,8,4]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[4,7,2,6,5,8,1,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,8,1,4,2,7,3,5]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,3,4,7,1,8,2,5]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,4,7,8,2,5,6,1]=>[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[1,8,2,4,5,6,7,3]=>[1,8,3,7,5,6,4,2]=>[2,4,6,5,7,3,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[5,3,4,1,7,6,8,2]=>[8,4,3,2,6,5,7,1]=>[1,7,5,6,2,3,4,8]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[3,1,4,6,5,7,8,2]=>[8,2,3,5,4,6,7,1]=>[1,7,6,4,5,3,2,8]=>[.,[[[[[.,.],.],[.,.]],.],[.,.]]]
[1,4,7,3,5,6,8,2]=>[1,8,6,4,5,3,7,2]=>[2,7,3,5,4,6,8,1]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[1,3,2,7,5,8,6,4]=>[1,3,2,8,7,6,5,4]=>[4,5,6,7,8,2,3,1]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]
[1,4,2,5,8,3,7,6]=>[1,6,3,4,8,2,7,5]=>[5,7,2,8,4,3,6,1]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]
[1,4,2,7,8,5,6,3]=>[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[3,1,2,6,5,8,4,7]=>[3,2,1,7,5,8,4,6]=>[6,4,8,5,7,1,2,3]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]
[4,1,2,6,8,5,3,7]=>[7,2,3,6,8,4,1,5]=>[5,1,4,8,6,3,2,7]=>[[.,[[[.,.],.],.]],[[.,[.,.]],.]]
[1,5,2,4,8,7,6,3]=>[1,8,3,4,7,6,5,2]=>[2,5,6,7,4,3,8,1]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[1,2,6,4,8,7,5,3]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,2,7,4,8,6,5,3]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,3,2,7,5,8,4,6]=>[1,3,2,8,7,6,5,4]=>[4,5,6,7,8,2,3,1]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]
[2,3,1,7,5,4,8,6]=>[3,2,1,8,6,5,7,4]=>[4,7,5,6,8,1,2,3]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[1,3,2,8,5,7,4,6]=>[1,3,2,8,7,6,5,4]=>[4,5,6,7,8,2,3,1]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]
[1,4,2,5,8,7,3,6]=>[1,7,3,4,8,6,2,5]=>[5,2,6,8,4,3,7,1]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]
[1,5,2,4,8,7,3,6]=>[1,7,3,4,8,6,2,5]=>[5,2,6,8,4,3,7,1]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]
[1,2,6,4,8,7,3,5]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,2,7,8,5,6,3,4]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,2,6,8,5,7,3,4]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,5,6,8,2,7,3,4]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,3,8,2,6,7,4,5]=>[1,4,8,2,7,6,5,3]=>[3,5,6,7,2,8,4,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[1,6,7,8,2,5,3,4]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,2,6,8,3,7,5,4]=>[1,2,8,7,5,6,4,3]=>[3,4,6,5,7,8,2,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[1,5,7,8,2,3,6,4]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,5,2,7,8,4,6,3]=>[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,4,7,2,8,3,6,5]=>[1,6,8,4,7,2,5,3]=>[3,5,2,7,4,8,6,1]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[1,3,6,2,4,8,7,5]=>[1,4,8,2,5,7,6,3]=>[3,6,7,5,2,8,4,1]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]
[1,6,7,3,4,8,5,2]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,5,3,7,4,8,6,2]=>[1,8,5,7,3,6,4,2]=>[2,4,6,3,7,5,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[2,8,4,1,5,3,7,6]=>[4,8,6,1,5,3,7,2]=>[2,7,3,5,1,6,8,4]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[3,8,4,1,5,7,2,6]=>[7,8,4,3,5,6,1,2]=>[2,1,6,5,3,4,8,7]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]
[1,2,8,4,7,3,6,5]=>[1,2,8,6,7,4,5,3]=>[3,5,4,7,6,8,2,1]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[1,2,7,4,8,3,6,5]=>[1,2,8,6,7,4,5,3]=>[3,5,4,7,6,8,2,1]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[1,2,6,4,8,3,7,5]=>[1,2,8,6,7,4,5,3]=>[3,5,4,7,6,8,2,1]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[1,5,2,4,8,3,7,6]=>[1,6,3,4,8,2,7,5]=>[5,7,2,8,4,3,6,1]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]
[1,8,4,5,7,2,3,6]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,3,5,2,7,4,6]=>[1,8,5,7,3,6,4,2]=>[2,4,6,3,7,5,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[2,8,3,5,1,4,7,6]=>[5,8,3,6,1,4,7,2]=>[2,7,4,1,6,3,8,5]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]
[2,3,8,6,1,4,7,5]=>[5,2,8,7,1,6,4,3]=>[3,4,6,1,7,8,2,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[1,3,8,6,2,7,4,5]=>[1,5,8,7,2,6,4,3]=>[3,4,6,2,7,8,5,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[1,4,8,6,7,2,3,5]=>[1,7,8,6,5,4,2,3]=>[3,2,4,5,6,8,7,1]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[1,5,6,8,7,2,3,4]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,2,6,8,5,3,7,4]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,2,7,8,5,3,6,4]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,2,5,8,7,3,6,4]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,2,6,8,7,3,5,4]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,2,7,8,6,3,5,4]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,6,7,8,5,2,3,4]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,5,7,8,6,2,3,4]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,4,7,6,8,2,3,5]=>[1,7,8,6,5,4,2,3]=>[3,2,4,5,6,8,7,1]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[1,3,7,6,2,8,4,5]=>[1,5,8,7,2,6,4,3]=>[3,4,6,2,7,8,5,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[2,3,8,7,4,1,6,5]=>[6,2,8,7,5,1,4,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[1,2,8,4,7,6,3,5]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,2,5,8,7,6,3,4]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,2,6,8,7,5,3,4]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,2,7,8,6,5,3,4]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[5,2,6,7,3,4,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,2,4,7,6,3,8,1]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[5,6,2,1,7,8,3,4]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[5,6,2,1,4,8,7,3]=>[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[2,6,1,4,5,8,7,3]=>[3,8,1,5,4,7,6,2]=>[2,6,7,4,5,1,8,3]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[5,4,2,7,6,3,8,1]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[2,3,7,6,4,5,8,1]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[2,6,1,7,5,8,3,4]=>[3,8,1,7,5,6,4,2]=>[2,4,6,5,7,1,8,3]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[2,6,1,7,4,8,5,3]=>[3,8,1,7,5,6,4,2]=>[2,4,6,5,7,1,8,3]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[2,6,1,7,4,8,3,5]=>[3,8,1,7,5,6,4,2]=>[2,4,6,5,7,1,8,3]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[3,6,4,1,7,8,2,5]=>[7,8,4,3,5,6,1,2]=>[2,1,6,5,3,4,8,7]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]
[5,4,6,1,3,8,7,2]=>[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[3,6,4,1,5,8,7,2]=>[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[2,6,1,5,4,8,7,3]=>[3,8,1,5,4,7,6,2]=>[2,6,7,4,5,1,8,3]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[2,6,1,4,7,8,5,3]=>[3,8,1,7,5,6,4,2]=>[2,4,6,5,7,1,8,3]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[5,1,2,4,8,6,7,3]=>[8,2,3,4,7,6,5,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[5,1,2,4,8,7,3,6]=>[7,2,3,4,8,6,1,5]=>[5,1,6,8,4,3,2,7]=>[[.,[[[.,.],.],.]],[.,[[.,.],.]]]
[5,1,2,4,8,7,6,3]=>[8,2,3,4,7,6,5,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[1,2,3,8,5,4,7,6]=>[1,2,3,8,6,5,7,4]=>[4,7,5,6,8,3,2,1]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]
[4,3,1,2,8,5,7,6]=>[4,3,2,1,8,6,7,5]=>[5,7,6,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[2,1,5,3,8,6,4,7]=>[2,1,7,4,8,6,3,5]=>[5,3,6,8,4,7,1,2]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]
[1,2,3,8,5,6,4,7]=>[1,2,3,8,7,6,5,4]=>[4,5,6,7,8,3,2,1]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[1,2,3,8,6,4,5,7]=>[1,2,3,8,7,6,5,4]=>[4,5,6,7,8,3,2,1]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[1,2,3,8,6,5,4,7]=>[1,2,3,8,7,6,5,4]=>[4,5,6,7,8,3,2,1]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[1,2,3,8,5,4,6,7]=>[1,2,3,8,6,5,7,4]=>[4,7,5,6,8,3,2,1]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]
[2,6,1,5,4,8,3,7]=>[3,7,1,5,4,8,2,6]=>[6,2,8,4,5,1,7,3]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]
[5,1,2,4,8,6,3,7]=>[7,2,3,4,8,6,1,5]=>[5,1,6,8,4,3,2,7]=>[[.,[[[.,.],.],.]],[.,[[.,.],.]]]
[5,1,2,4,8,3,7,6]=>[6,2,3,4,8,1,7,5]=>[5,7,1,8,4,3,2,6]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]
[5,6,3,1,4,8,2,7]=>[7,5,4,3,2,8,1,6]=>[6,1,8,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[2,5,4,3,1,8,6,7]=>[5,4,3,2,1,8,7,6]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[5,4,6,3,1,8,7,2]=>[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[3,6,4,5,1,8,7,2]=>[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[3,6,5,4,1,8,7,2]=>[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[5,2,6,1,7,8,4,3]=>[8,4,7,2,5,6,3,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[5,1,6,2,8,7,3,4]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[2,1,3,7,8,6,4,5]=>[2,1,3,8,7,6,5,4]=>[4,5,6,7,8,3,1,2]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]
[2,1,3,7,8,5,6,4]=>[2,1,3,8,7,6,5,4]=>[4,5,6,7,8,3,1,2]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]
[5,2,4,1,7,8,6,3]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[4,3,1,2,8,6,7,5]=>[4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[5,1,4,2,8,6,7,3]=>[8,2,4,3,7,6,5,1]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[2,1,3,6,8,5,7,4]=>[2,1,3,8,7,6,5,4]=>[4,5,6,7,8,3,1,2]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]
[1,2,3,8,6,7,4,5]=>[1,2,3,8,7,6,5,4]=>[4,5,6,7,8,3,2,1]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[1,2,3,8,7,5,4,6]=>[1,2,3,8,7,6,5,4]=>[4,5,6,7,8,3,2,1]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[1,2,3,8,7,4,5,6]=>[1,2,3,8,7,6,5,4]=>[4,5,6,7,8,3,2,1]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[1,2,3,8,5,7,4,6]=>[1,2,3,8,7,6,5,4]=>[4,5,6,7,8,3,2,1]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[2,1,3,6,8,7,4,5]=>[2,1,3,8,7,6,5,4]=>[4,5,6,7,8,3,1,2]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]
[5,4,1,2,8,7,6,3]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[3,1,6,2,8,7,5,4]=>[4,2,8,1,7,6,5,3]=>[3,5,6,7,1,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[1,2,3,4,5,9,6,7,8]=>[1,2,3,4,5,9,7,8,6]=>[6,8,7,9,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],[[.,.],[.,.]]]
[1,2,3,4,9,5,6,7,8]=>[1,2,3,4,9,6,7,8,5]=>[5,8,7,6,9,4,3,2,1]=>[[[[[.,.],.],.],.],[[[.,.],.],[.,.]]]
[1,2,3,9,4,5,6,7,8]=>[1,2,3,9,5,6,7,8,4]=>[4,8,7,6,5,9,3,2,1]=>[[[[.,.],.],.],[[[[.,.],.],.],[.,.]]]
[1,2,9,3,4,5,6,7,8]=>[1,2,9,4,5,6,7,8,3]=>[3,8,7,6,5,4,9,2,1]=>[[[.,.],.],[[[[[.,.],.],.],.],[.,.]]]
[1,2,3,4,5,6,7,10,8,9]=>[1,2,3,4,5,6,7,10,9,8]=>[8,9,10,7,6,5,4,3,2,1]=>[[[[[[[[.,.],.],.],.],.],.],.],[.,[.,.]]]
[1,2,3,4,5,9,7,6,8]=>[1,2,3,4,5,9,8,7,6]=>[6,7,8,9,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],[.,[.,[.,.]]]]
[1,8,3,4,2,5,6,7]=>[1,8,5,4,3,6,7,2]=>[2,7,6,3,4,5,8,1]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[1,8,4,3,2,5,6,7]=>[1,8,5,4,3,6,7,2]=>[2,7,6,3,4,5,8,1]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[8,4,7,6,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,7,5,6,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,7,4,6,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,6,3,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,7,3,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,7,3,6,4,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,1,7,4,6,5,3,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,7,3,6,5,4,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,2,7,3,6,5,4,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,3,7,2,6,5,4,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,5,7,2,6,4,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,7,2,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,6,2,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,7,1,6,5,3,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,3,7,1,6,5,4,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,2,7,1,6,5,4,3]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,1,7,2,6,5,4,3]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,7,6,2,5,3,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,1,7,6,5,3,4,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,3,7,6,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,7,6,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,7,6,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,7,6,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,3,7,6,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,6,4,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,6,2,5,1,4,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,6,1,5,2,4,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,8,1,3,2,5,4,7]=>[7,8,3,5,4,6,1,2]=>[2,1,6,4,5,3,8,7]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[6,8,1,4,2,5,3,7]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[7,8,3,6,1,4,2,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,2,5,3,6,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,2,5,1,4,3,6]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[7,8,1,4,3,6,2,5]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,8,1,4,3,7,2,6]=>[7,8,3,5,4,6,1,2]=>[2,1,6,4,5,3,8,7]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[6,8,2,5,1,4,3,7]=>[7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[6,8,2,5,3,7,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,2,5,4,7,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,5,4,7,6,8,1,3]=>[7,8,3,5,4,6,1,2]=>[2,1,6,4,5,3,8,7]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[2,5,3,7,6,8,1,4]=>[7,8,3,5,4,6,1,2]=>[2,1,6,4,5,3,8,7]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[2,5,1,4,3,7,6,8]=>[3,5,1,4,2,7,6,8]=>[8,6,7,2,4,1,5,3]=>[[[[.,.],[[.,.],[.,.]]],[.,.]],.]
[2,6,1,4,3,7,5,8]=>[3,7,1,5,4,6,2,8]=>[8,2,6,4,5,1,7,3]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[2,6,5,8,1,4,3,7]=>[5,7,6,8,1,3,2,4]=>[4,2,3,1,8,6,7,5]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]
[2,6,1,5,3,7,4,8]=>[3,7,1,5,4,6,2,8]=>[8,2,6,4,5,1,7,3]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[2,6,3,7,4,8,1,5]=>[7,8,3,5,4,6,1,2]=>[2,1,6,4,5,3,8,7]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[2,6,4,7,5,8,1,3]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[5,8,3,6,4,7,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,2,6,4,7,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,2,6,3,7,1,5]=>[7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[4,8,1,5,3,7,2,6]=>[7,8,3,5,4,6,1,2]=>[2,1,6,4,5,3,8,7]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[4,8,1,5,2,6,3,7]=>[7,8,3,5,4,6,1,2]=>[2,1,6,4,5,3,8,7]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[4,8,3,7,1,5,2,6]=>[7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[6,8,3,7,1,4,2,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,1,3,2,6,4,7]=>[7,8,3,5,4,6,1,2]=>[2,1,6,4,5,3,8,7]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[5,8,4,7,1,3,2,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[6,8,4,7,1,3,2,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,5,7,1,3,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,7,6,8,2,4,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,7,6,8,1,3,2,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[4,7,5,8,1,3,2,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[4,7,1,3,2,6,5,8]=>[5,7,3,4,1,6,2,8]=>[8,2,6,1,4,3,7,5]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[3,7,1,4,2,6,5,8]=>[5,7,3,4,1,6,2,8]=>[8,2,6,1,4,3,7,5]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[3,7,5,8,1,4,2,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[3,7,6,8,1,4,2,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[3,7,6,8,2,5,1,4]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[4,7,6,8,2,5,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,7,5,8,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,7,5,8,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,7,5,8,2,6,1,4]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[3,7,4,8,2,6,1,5]=>[7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[3,7,4,8,1,5,2,6]=>[7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[3,7,1,5,2,6,4,8]=>[5,7,3,6,1,4,2,8]=>[8,2,4,1,6,3,7,5]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[3,7,2,6,1,5,4,8]=>[5,7,3,6,1,4,2,8]=>[8,2,4,1,6,3,7,5]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[3,7,2,6,5,8,1,4]=>[7,8,3,5,4,6,1,2]=>[2,1,6,4,5,3,8,7]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[4,7,3,6,5,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,6,5,8,4,7,1,2]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[2,6,5,8,4,7,1,3]=>[7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[2,6,5,8,3,7,1,4]=>[7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[2,6,3,7,1,5,4,8]=>[5,7,3,6,1,4,2,8]=>[8,2,4,1,6,3,7,5]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[7,6,4,2,8,5,3,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,6,4,3,8,2,5,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,6,4,8,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,4,3,7,2,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,4,3,5,1,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,7,3,5,4,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,8,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,8,3,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,3,5,8,2,4,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,6,3,5,2,4,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,6,4,2,5,1,8,3]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,6,2,8,4,1,5,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,3,8,2,4,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,3,4,8,2,5,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,8,3,7,4,5,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,3,5,8,4,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,7,8,3,6,2,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,3,6,7,2,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,3,4,8,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,3,8,4,7,2,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,2,8,4,1,7,5,3]=>[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[6,2,7,4,1,5,3,8]=>[7,5,6,4,2,3,1,8]=>[8,1,3,2,4,6,5,7]=>[[.,[[.,.],[.,[[.,.],[.,.]]]]],.]
[6,3,4,7,5,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,3,5,7,8,4,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,7,3,6,8,2,1,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,6,8,3,7,2,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,6,7,3,4,1,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,6,7,8,3,5,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,6,8,3,5,7,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,7,3,5,6,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,7,3,5,8,2,6,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,3,4,7,8,2,1,6]=>[7,6,3,8,5,2,1,4]=>[4,1,2,5,8,3,6,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[5,3,8,2,4,1,6,7]=>[6,5,8,4,2,1,7,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[5,3,4,8,2,6,1,7]=>[7,5,3,8,2,6,1,4]=>[4,1,6,2,8,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[4,8,3,6,2,5,7,1]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[4,8,3,5,7,2,6,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,8,3,5,6,7,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,7,8,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,7,8,3,6,2,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,3,6,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,3,7,2,5,6,1]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[5,3,4,8,2,7,6,1]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[5,3,8,2,4,1,7,6]=>[6,5,8,4,2,1,7,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[5,2,8,4,1,7,3,6]=>[7,5,8,4,2,6,1,3]=>[3,1,6,2,4,8,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[6,4,2,5,1,8,7,3]=>[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[6,4,3,5,8,2,1,7]=>[7,6,4,3,8,2,1,5]=>[5,1,2,8,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[6,3,5,8,7,2,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,7,3,4,8,2,1,6]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[5,8,4,2,3,1,6,7]=>[6,8,5,4,3,1,7,2]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[5,8,4,2,3,1,7,6]=>[6,8,5,4,3,1,7,2]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[6,4,5,3,8,2,1,7]=>[7,6,4,3,8,2,1,5]=>[5,1,2,8,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[6,4,8,5,3,7,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,4,3,8,5,7,2,1]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[6,4,2,8,5,3,1,7]=>[7,6,5,8,3,2,1,4]=>[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[6,4,2,7,3,1,8,5]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,4,3,7,8,5,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,4,5,3,7,1,8,2]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[5,7,4,2,3,1,6,8]=>[6,7,5,4,3,1,2,8]=>[8,2,1,3,4,5,7,6]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[5,6,3,7,1,8,2,4]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,6,3,4,7,1,8,2]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[5,6,3,4,8,2,1,7]=>[7,6,4,3,8,2,1,5]=>[5,1,2,8,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[6,3,5,7,4,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,3,5,4,7,8,2,1]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[6,4,3,5,7,1,8,2]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[6,4,2,5,1,7,3,8]=>[7,5,4,3,2,6,1,8]=>[8,1,6,2,3,4,5,7]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[5,3,7,2,4,1,6,8]=>[6,5,7,4,2,1,3,8]=>[8,3,1,2,4,7,5,6]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[5,3,4,7,2,6,1,8]=>[7,5,3,6,2,4,1,8]=>[8,1,4,2,6,3,5,7]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[4,7,3,6,2,5,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,7,3,6,8,2,5,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,6,7,3,5,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,5,7,8,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,5,8,3,6,7,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,5,8,3,7,2,6,1]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[5,3,6,8,2,1,4,7]=>[7,6,5,8,3,2,1,4]=>[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[5,3,6,7,1,8,2,4]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,3,4,6,7,1,8,2]=>[8,6,3,4,5,2,7,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[4,6,3,5,7,8,2,1]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[4,5,7,3,6,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,5,6,8,3,7,2,1]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[5,7,4,8,6,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,2,6,5,1,8,7,4]=>[5,2,8,4,1,7,6,3]=>[3,6,7,1,4,8,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[3,5,6,7,2,8,4,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,6,9,8,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[6,5,4,9,8,7,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[6,8,5,9,7,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[6,7,8,9,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[5,7,8,4,9,6,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[5,6,7,8,9,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[3,2,1,6,5,4,9,8,7]=>[3,2,1,6,5,4,9,8,7]=>[7,8,9,4,5,6,1,2,3]=>[[[.,[.,[.,.]]],[.,[.,.]]],[.,[.,.]]]
[8,7,10,9,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,9,10,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[7,6,5,10,9,8,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[7,9,6,10,8,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[7,8,9,10,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[6,5,4,3,10,9,8,7,2,1]=>[10,9,4,3,8,7,6,5,2,1]=>[1,2,5,6,7,8,3,4,9,10]=>[.,[.,[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]]]
[6,9,5,4,10,8,7,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[6,5,8,7,10,9,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[6,8,9,5,10,7,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[5,4,3,2,1,10,9,8,7,6]=>[5,4,3,2,1,10,9,8,7,6]=>[6,7,8,9,10,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]]
[5,4,8,7,3,10,9,6,2,1]=>[10,9,8,5,4,7,6,3,2,1]=>[1,2,3,6,7,4,5,8,9,10]=>[.,[.,[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]]]
[5,8,9,4,3,10,7,6,2,1]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[5,7,4,9,6,10,8,3,2,1]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[5,6,7,8,9,10,4,3,2,1]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[4,3,6,5,8,7,10,9,2,1]=>[10,9,4,3,6,5,8,7,2,1]=>[1,2,7,8,5,6,3,4,9,10]=>[.,[.,[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]]]
[1,3,8,2,4,6,5,7]=>[1,4,8,2,5,7,6,3]=>[3,6,7,5,2,8,4,1]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]
[1,7,2,3,6,4,8,5]=>[1,8,3,4,6,5,7,2]=>[2,7,5,6,4,3,8,1]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]
[1,6,8,2,5,3,7,4]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,8,2,5,3,4,7,6]=>[1,8,3,6,5,4,7,2]=>[2,7,4,5,6,3,8,1]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[1,8,2,3,6,4,7,5]=>[1,8,3,4,7,6,5,2]=>[2,5,6,7,4,3,8,1]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[1,3,5,2,8,4,7,6]=>[1,4,6,2,8,3,7,5]=>[5,7,3,8,2,6,4,1]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]
[1,2,7,3,5,4,6,8]=>[1,2,7,4,6,5,3,8]=>[8,3,5,6,4,7,2,1]=>[[[[.,.],.],[[.,.],[.,[.,.]]]],.]
[1,8,2,7,3,4,6,5]=>[1,8,3,7,5,6,4,2]=>[2,4,6,5,7,3,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,5,8,2,3,7,4,6]=>[1,7,8,4,5,6,2,3]=>[3,2,6,5,4,8,7,1]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]
[1,6,8,2,3,5,4,7]=>[1,7,8,4,5,6,2,3]=>[3,2,6,5,4,8,7,1]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]
[5,3,6,1,2,4,8,7]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[7,1,5,8,4,2,3,6]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,5,7,4,2,3,6]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,1,4,5,8,2,3,6]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,4,1,6,2,8,3,5]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[8,4,1,7,2,6,3,5]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,1,4,7,5,2,3,6]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,5,4,7,2,3,6]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,1,7,5,8,3,4,6]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[7,1,5,4,8,2,3,6]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,1,4,8,5,2,3,6]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,4,1,7,2,3,8,5]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[7,8,3,1,2,4,6,5]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,7,1,6,4,2,3,5]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,6,1,7,4,2,3,5]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,6,1,8,4,2,3,5]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,3,8,1,2,4,6,5]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[8,3,7,1,2,4,6,5]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[8,3,6,1,2,4,7,5]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[8,3,7,5,1,2,4,6]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[7,3,6,1,2,4,8,5]=>[8,5,6,4,2,3,7,1]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[6,7,1,8,4,2,3,5]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,8,1,7,4,2,3,5]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,1,8,5,4,2,3,6]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,1,8,4,5,2,3,6]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,1,7,8,5,3,4,6]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[7,6,3,1,2,4,8,5]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,1,2,3,8,7,5,4]=>[8,2,3,4,7,6,5,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[6,8,1,4,2,3,7,5]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,8,3,1,2,7,4,5]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,7,3,1,2,8,4,5]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,7,1,4,2,3,8,5]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[4,3,6,8,5,7,1,2]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[6,1,2,5,4,8,3,7]=>[7,2,3,5,4,8,1,6]=>[6,1,8,4,5,3,2,7]=>[[.,[[[.,.],.],[.,.]]],[[.,.],.]]
[7,8,2,1,4,6,3,5]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[7,2,1,5,8,3,4,6]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[2,4,8,5,1,3,6,7]=>[5,6,8,4,1,2,7,3]=>[3,7,2,1,4,8,6,5]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]
[3,5,6,1,8,4,2,7]=>[7,6,4,3,8,2,1,5]=>[5,1,2,8,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[1,3,6,8,7,4,2,5]=>[1,7,8,6,5,4,2,3]=>[3,2,4,5,6,8,7,1]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[1,2,8,5,7,3,4,6]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[2,6,1,5,8,3,4,7]=>[3,7,1,6,8,4,2,5]=>[5,2,4,8,6,1,7,3]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]]
[5,7,1,6,8,4,3,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,8,1,2,5,7,3,6]=>[7,8,3,4,5,6,1,2]=>[2,1,6,5,4,3,8,7]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]
[8,4,6,2,5,7,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,3,6,4,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,8,1,4,7,2,5,6]=>[6,8,3,4,7,1,5,2]=>[2,5,1,7,4,3,8,6]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[1,7,8,4,6,2,5,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,7,4,8,5,1,6,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,7,1,6,5,4,8,2]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[2,7,3,1,5,8,4,6]=>[4,8,3,1,7,6,5,2]=>[2,5,6,7,1,3,8,4]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[2,7,5,8,6,4,1,3]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[8,2,6,7,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,8,7,1,6,4,5,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,6,8,2,7,4,1,5]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[1,5,2,8,7,4,6,3]=>[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[3,4,2,7,8,1,6,5]=>[6,3,2,8,7,1,5,4]=>[4,5,1,7,8,2,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]
[6,3,8,1,7,4,2,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,5,8,7,1,4,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,6,1,4,5,8,2,7]=>[7,5,3,4,2,8,1,6]=>[6,1,8,2,4,3,5,7]=>[[.,[.,[[.,.],[.,.]]]],[[.,.],.]]
[6,1,7,3,5,4,8,2]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[6,3,1,2,5,8,4,7]=>[7,4,3,2,5,8,1,6]=>[6,1,8,5,2,3,4,7]=>[[.,[[.,[.,[.,.]]],.]],[[.,.],.]]
[5,6,8,7,2,4,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,5,7,1,2,4,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,8,4,1,7,5,6,3]=>[4,8,7,1,6,5,3,2]=>[2,3,5,6,1,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[8,2,4,3,7,5,6,1]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[6,8,2,1,5,7,3,4]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[7,2,8,4,1,6,3,5]=>[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[1,2,4,8,6,5,3,7]=>[1,2,7,8,6,5,3,4]=>[4,3,5,6,8,7,2,1]=>[[[[.,.],.],.],[.,[.,[[.,.],.]]]]
[7,1,5,6,8,4,3,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,7,8,1,4,6,3,5]=>[4,8,7,1,6,5,3,2]=>[2,3,5,6,1,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[4,8,2,5,7,1,6,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,1,6,8,5,3,7,2]=>[8,2,6,7,5,3,4,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[5,2,6,4,8,3,1,7]=>[7,6,4,3,8,2,1,5]=>[5,1,2,8,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[6,7,1,3,4,5,8,2]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[1,7,3,2,4,8,5,6]=>[1,8,4,3,5,7,6,2]=>[2,6,7,5,3,4,8,1]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]
[7,1,6,5,3,4,8,2]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[6,3,4,2,8,7,5,1]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[4,3,8,7,5,2,6,1]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[6,8,7,4,2,3,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,6,4,5,2,8,7,1]=>[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[8,6,1,3,5,4,2,7]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,3,8,6,1,2,4,7]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[2,5,6,3,4,8,7,1]=>[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[2,5,3,6,8,7,4,1]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[4,8,7,3,5,2,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,8,7,2,6,4,5,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,3,5,4,8,7,2,1]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[4,3,8,6,1,5,2,7]=>[7,5,8,6,2,4,1,3]=>[3,1,4,2,6,8,5,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[4,7,6,2,5,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,5,2,6,8,1,4,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,5,2,7,1,4,3,6]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[1,8,5,3,6,2,4,7]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,1,7,2,4,3,8,6]=>[6,2,8,4,5,1,7,3]=>[3,7,1,5,4,8,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[1,5,3,4,8,6,2,7]=>[1,7,4,3,8,6,2,5]=>[5,2,6,8,3,4,7,1]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]
[5,1,8,6,3,4,2,7]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[4,5,2,8,3,7,6,1]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[8,2,3,7,6,4,5,1]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,8,2,4,7,6,3,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,8,2,5,3,4,7,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,2,5,6,4,8,1,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[1,6,7,4,8,2,3,5]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,1,3,5,8,2,6,4]=>[8,2,6,7,5,3,4,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[8,2,1,3,5,6,7,4]=>[8,3,2,4,7,6,5,1]=>[1,5,6,7,4,2,3,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[6,3,1,4,7,5,8,2]=>[8,6,3,4,5,2,7,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[4,1,3,8,2,6,7,5]=>[5,2,3,8,1,7,6,4]=>[4,6,7,1,8,3,2,5]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]
[2,8,3,6,7,5,4,1]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,1,7,2,8,5,4,6]=>[4,2,8,1,7,6,5,3]=>[3,5,6,7,1,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[3,6,1,4,7,2,8,5]=>[6,8,3,4,5,1,7,2]=>[2,7,1,5,4,3,8,6]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]
[1,5,8,4,7,2,3,6]=>[1,7,8,6,5,4,2,3]=>[3,2,4,5,6,8,7,1]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[7,1,3,6,2,8,4,5]=>[8,2,5,7,3,6,4,1]=>[1,4,6,3,7,5,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[6,2,7,4,5,8,1,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,1,8,4,5,7,3,6]=>[2,1,8,7,5,6,4,3]=>[3,4,6,5,7,8,1,2]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[1,8,5,7,3,2,4,6]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,1,8,5,4,3,6,7]=>[2,1,8,6,5,4,7,3]=>[3,7,4,5,6,8,1,2]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[2,7,4,1,5,3,8,6]=>[4,8,6,1,5,3,7,2]=>[2,7,3,5,1,6,8,4]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[7,4,8,6,2,3,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,7,1,4,6,3,8,5]=>[3,8,1,6,5,4,7,2]=>[2,7,4,5,6,1,8,3]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[4,7,5,6,8,1,3,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,1,3,2,8,5,4,6]=>[8,2,4,3,7,6,5,1]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[2,8,5,4,1,3,6,7]=>[5,8,6,4,1,3,7,2]=>[2,7,3,1,4,6,8,5]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]
[3,8,6,5,1,4,2,7]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[4,1,8,6,5,3,2,7]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[4,8,5,2,7,3,6,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,2,8,5,3,6,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,2,8,4,3,7,6,1]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[8,4,7,5,2,3,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,5,2,8,4,6,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,7,4,3,6,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,7,5,1,2,8,3,4]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,2,6,8,3,4,7,1]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[7,6,2,4,5,8,3,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,6,8,4,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,3,8,4,2,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,6,3,8,4,7,5,1]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,2,3,6,5,8,4,1]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[6,2,7,5,8,3,1,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,8,3,6,4,5,7,1]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,1,5,6,8,3,7,4]=>[2,1,8,6,7,4,5,3]=>[3,5,4,7,6,8,1,2]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[5,8,1,2,6,4,7,3]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[1,6,8,3,2,7,4,5]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[6,5,7,2,8,4,1,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,5,1,2,8,4,6,3]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[5,4,8,3,6,2,7,1]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[5,8,2,7,4,3,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,4,5,8,2,7,3,1]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[5,7,3,6,4,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[1,4,6,3,5,7,8,2]=>[1,8,5,4,3,6,7,2]=>[2,7,6,3,4,5,8,1]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[3,5,1,6,4,7,8,2]=>[8,5,3,4,2,6,7,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]
[3,6,1,4,2,7,8,5]=>[5,8,3,4,1,6,7,2]=>[2,7,6,1,4,3,8,5]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]
[2,4,6,3,1,7,8,5]=>[5,4,8,2,1,6,7,3]=>[3,7,6,1,2,8,4,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[1,3,6,5,2,7,8,4]=>[1,5,8,4,2,6,7,3]=>[3,7,6,2,4,8,5,1]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]
[1,2,6,4,3,8,5,7]=>[1,2,7,5,4,8,3,6]=>[6,3,8,4,5,7,2,1]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]
[2,3,5,1,8,4,7,6]=>[4,2,6,1,8,3,7,5]=>[5,7,3,8,1,6,2,4]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[2,3,6,1,8,5,4,7]=>[4,2,7,1,8,6,3,5]=>[5,3,6,8,1,7,2,4]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]
[1,2,7,4,6,8,3,5]=>[1,2,8,7,5,6,4,3]=>[3,4,6,5,7,8,2,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[2,3,7,5,1,8,4,6]=>[5,2,8,7,1,6,4,3]=>[3,4,6,1,7,8,2,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[4,7,2,5,3,8,6,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,1,7,5,4,8,6,2]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[1,2,7,6,4,8,5,3]=>[1,2,8,7,5,6,4,3]=>[3,4,6,5,7,8,2,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[1,2,7,3,6,8,5,4]=>[1,2,8,4,7,6,5,3]=>[3,5,6,7,4,8,2,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[2,3,6,1,8,5,7,4]=>[4,2,8,1,7,6,5,3]=>[3,5,6,7,1,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[3,1,5,4,8,7,6,2]=>[8,2,4,3,7,6,5,1]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[1,2,5,8,4,7,3,6]=>[1,2,7,8,5,6,3,4]=>[4,3,6,5,8,7,2,1]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]
[1,2,6,8,5,4,7,3]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,3,6,8,5,2,7,4]=>[1,6,8,7,5,2,4,3]=>[3,4,2,5,7,8,6,1]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]
[1,3,6,8,5,2,4,7]=>[1,6,7,8,5,2,3,4]=>[4,3,2,5,8,7,6,1]=>[[[[.,.],.],.],[.,[[[.,.],.],.]]]
[1,2,6,8,5,4,3,7]=>[1,2,7,8,6,5,3,4]=>[4,3,5,6,8,7,2,1]=>[[[[.,.],.],.],[.,[.,[[.,.],.]]]]
[1,2,5,8,4,3,7,6]=>[1,2,6,8,5,3,7,4]=>[4,7,3,5,8,6,2,1]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]
[1,3,5,8,2,4,7,6]=>[1,5,6,8,2,3,7,4]=>[4,7,3,2,8,6,5,1]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]
[1,3,6,8,2,5,4,7]=>[1,5,7,8,2,6,3,4]=>[4,3,6,2,8,7,5,1]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]
[1,4,6,8,3,2,5,7]=>[1,6,7,8,5,2,3,4]=>[4,3,2,5,8,7,6,1]=>[[[[.,.],.],.],[.,[[[.,.],.],.]]]
[4,6,1,7,5,8,2,3]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[2,3,6,7,5,8,1,4]=>[7,2,8,5,4,6,1,3]=>[3,1,6,4,5,8,2,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[2,3,6,5,8,1,7,4]=>[6,2,8,4,7,1,5,3]=>[3,5,1,7,4,8,2,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[3,4,6,2,8,1,7,5]=>[6,4,8,2,7,1,5,3]=>[3,5,1,7,2,8,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[1,2,4,7,5,8,3,6]=>[1,2,7,8,5,6,3,4]=>[4,3,6,5,8,7,2,1]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]
[1,2,6,7,4,8,3,5]=>[1,2,8,7,5,6,4,3]=>[3,4,6,5,7,8,2,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[3,6,4,7,1,8,5,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[1,2,6,7,3,8,5,4]=>[1,2,8,7,5,6,4,3]=>[3,4,6,5,7,8,2,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[1,2,5,7,3,8,6,4]=>[1,2,8,7,5,6,4,3]=>[3,4,6,5,7,8,2,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[3,1,5,7,6,8,4,2]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[3,5,4,6,8,2,7,1]=>[8,6,3,4,7,2,5,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[4,2,6,1,8,7,5,3]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[3,1,6,5,8,7,4,2]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[1,2,7,4,6,8,5,3]=>[1,2,8,7,5,6,4,3]=>[3,4,6,5,7,8,2,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[1,2,7,5,6,8,4,3]=>[1,2,8,7,5,6,4,3]=>[3,4,6,5,7,8,2,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[3,1,6,7,5,8,4,2]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[4,6,2,7,5,8,3,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,5,7,4,8,2,6,1]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[2,4,7,6,8,3,5,1]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[1,4,6,8,3,5,7,2]=>[1,8,6,7,5,3,4,2]=>[2,4,3,5,7,6,8,1]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[1,3,6,8,2,5,7,4]=>[1,5,8,7,2,6,4,3]=>[3,4,6,2,7,8,5,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[1,3,5,8,2,7,4,6]=>[1,5,7,8,2,6,3,4]=>[4,3,6,2,8,7,5,1]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]
[1,2,5,8,4,7,6,3]=>[1,2,8,7,5,6,4,3]=>[3,4,6,5,7,8,2,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[1,2,4,8,7,3,6,5]=>[1,2,6,8,7,3,5,4]=>[4,5,3,7,8,6,2,1]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]
[1,2,5,8,7,4,3,6]=>[1,2,7,8,6,5,3,4]=>[4,3,5,6,8,7,2,1]=>[[[[.,.],.],.],[.,[.,[[.,.],.]]]]
[1,3,5,8,7,2,4,6]=>[1,6,7,8,5,2,3,4]=>[4,3,2,5,8,7,6,1]=>[[[[.,.],.],.],[.,[[[.,.],.],.]]]
[2,3,7,6,8,5,1,4]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[5,7,1,2,8,6,4,3]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[3,1,7,6,8,5,4,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,2,6,8,5,7,4,3]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,2,5,8,7,4,6,3]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,2,4,8,7,6,3,5]=>[1,2,7,8,6,5,3,4]=>[4,3,5,6,8,7,2,1]=>[[[[.,.],.],.],[.,[.,[[.,.],.]]]]
[6,4,5,7,2,8,1,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,3,4,7,2,8,1,6]=>[7,5,3,8,2,6,1,4]=>[4,1,6,2,8,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[3,2,7,4,6,8,1,5]=>[7,2,8,4,5,6,1,3]=>[3,1,6,5,4,8,2,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[5,3,6,2,7,1,4,8]=>[7,6,4,3,5,2,1,8]=>[8,1,2,5,3,4,6,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[2,6,3,4,7,1,5,8]=>[6,7,3,4,5,1,2,8]=>[8,2,1,5,4,3,7,6]=>[[[.,.],[[[.,.],.],[[.,.],.]]],.]
[2,7,3,4,5,8,1,6]=>[7,8,3,4,5,6,1,2]=>[2,1,6,5,4,3,8,7]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]
[3,7,4,5,6,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,5,7,3,6,8,1,4]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[4,7,6,2,3,8,1,5]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[7,3,5,2,4,8,1,6]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,6,2,4,5,8,1,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,5,2,3,4,8,1,7]=>[7,5,4,3,2,8,1,6]=>[6,1,8,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[5,3,1,2,8,4,7,6]=>[6,4,3,2,8,1,7,5]=>[5,7,1,8,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[6,5,2,3,7,1,4,8]=>[7,6,4,3,5,2,1,8]=>[8,1,2,5,3,4,6,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[5,2,1,7,3,4,6,8]=>[6,3,2,7,5,1,4,8]=>[8,4,1,5,7,2,3,6]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[5,2,1,8,3,4,6,7]=>[6,3,2,8,5,1,7,4]=>[4,7,1,5,8,2,3,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[6,3,2,8,4,5,7,1]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[7,3,1,2,8,4,6,5]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[6,4,1,3,8,5,7,2]=>[8,6,3,4,7,2,5,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[6,2,3,1,8,4,7,5]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[8,3,5,2,7,1,4,6]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[8,6,2,4,7,1,5,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,2,3,6,1,4,7]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,2,1,7,3,4,5,6]=>[8,3,2,7,5,6,4,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[8,6,3,7,2,4,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,1,6,2,3,4,5,8]=>[7,2,6,4,5,3,1,8]=>[8,1,3,5,4,6,2,7]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[8,2,7,3,4,5,6,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,1,6,2,3,4,5,7]=>[8,2,7,4,5,6,3,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[8,1,7,3,4,5,6,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,6,1,7,2,4,5,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,1,5,7,2,3,6,4]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,7,5,8,2,3,6,4]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,2,1,8,3,4,5,6]=>[8,3,2,7,5,6,4,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[7,3,8,2,4,5,6,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,2,8,3,4,5,6,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,7,8,3,4,5,6,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,4,5,8,3,6,7,2]=>[1,8,5,7,3,6,4,2]=>[2,4,6,3,7,5,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[2,5,7,1,8,3,6,4]=>[4,8,7,1,6,5,3,2]=>[2,3,5,6,1,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[6,2,7,1,8,4,5,3]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[4,7,1,3,8,5,6,2]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[1,6,2,8,4,5,7,3]=>[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[5,3,4,6,8,2,7,1]=>[8,6,3,4,7,2,5,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[4,6,3,8,7,1,2,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[6,4,5,8,7,1,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,3,4,8,7,1,2,6]=>[7,6,3,8,5,2,1,4]=>[4,1,2,5,8,3,6,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[3,2,8,7,1,4,6,5]=>[5,2,8,7,1,6,4,3]=>[3,4,6,1,7,8,2,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[3,1,8,7,2,4,6,5]=>[5,2,8,7,1,6,4,3]=>[3,4,6,1,7,8,2,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[5,3,7,6,1,2,4,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,8,3,7,2,4,5,6]=>[1,8,5,7,3,6,4,2]=>[2,4,6,3,7,5,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[3,8,1,7,2,4,5,6]=>[5,8,3,7,1,6,4,2]=>[2,4,6,1,7,3,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[6,8,2,3,5,1,4,7]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[4,7,8,2,6,1,3,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[6,2,8,7,1,4,5,3]=>[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[3,8,7,1,4,5,6,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,8,6,1,3,4,5,7]=>[4,8,7,1,5,6,3,2]=>[2,3,6,5,1,7,8,4]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[2,7,6,1,3,4,5,8]=>[4,7,6,1,5,3,2,8]=>[8,2,3,5,1,6,7,4]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[1,7,6,2,3,4,5,8]=>[1,7,6,4,5,3,2,8]=>[8,2,3,5,4,6,7,1]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[1,8,6,2,3,4,5,7]=>[1,8,7,4,5,6,3,2]=>[2,3,6,5,4,7,8,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[2,8,7,3,4,5,6,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,8,7,2,4,5,6,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,8,3,6,2,4,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,5,8,7,2,3,6,4]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,7,6,1,3,4,5,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,6,2,4,7,1,8,5]=>[6,8,3,4,5,1,7,2]=>[2,7,1,5,4,3,8,6]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]
[3,4,7,2,5,1,8,6]=>[6,4,8,2,5,1,7,3]=>[3,7,1,5,2,8,4,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[2,1,6,4,8,5,3,7]=>[2,1,7,6,8,4,3,5]=>[5,3,4,8,6,7,1,2]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]
[3,6,2,5,7,1,4,8]=>[6,7,3,4,5,1,2,8]=>[8,2,1,5,4,3,7,6]=>[[[.,.],[[[.,.],.],[[.,.],.]]],.]
[1,2,8,3,7,5,4,6]=>[1,2,8,4,7,6,5,3]=>[3,5,6,7,4,8,2,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[6,1,3,2,8,5,4,7]=>[7,2,4,3,8,6,1,5]=>[5,1,6,8,3,4,2,7]=>[[.,[[.,.],[.,.]]],[.,[[.,.],.]]]
[1,6,3,8,7,4,2,5]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,3,8,1,2,6,7,5]=>[5,4,8,2,1,7,6,3]=>[3,6,7,1,2,8,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[7,8,10,9,5,6,3,4,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,10,5,6,8,7,3,4,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[5,8,10,6,9,7,3,4,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[5,6,7,10,9,8,3,4,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,10,7,8,3,4,6,5,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[7,8,10,9,3,4,6,5,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,10,3,6,8,4,7,5,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[3,8,10,6,9,4,7,5,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[3,6,7,10,9,4,8,5,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,10,3,4,5,8,7,6,1,2]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[3,8,10,4,5,9,7,6,1,2]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[3,4,7,10,5,9,8,6,1,2]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[9,10,7,8,5,6,1,2,4,3]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[7,8,10,9,5,6,1,2,4,3]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,10,5,6,8,7,1,2,4,3]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[5,8,10,6,9,7,1,2,4,3]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[5,6,7,10,9,8,1,2,4,3]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,10,7,8,1,4,6,2,5,3]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[7,8,10,9,1,4,6,2,5,3]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[1,8,10,6,9,4,7,2,5,3]=>[1,10,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[1,6,7,10,9,4,8,2,5,3]=>[1,10,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[1,8,10,4,5,9,7,2,6,3]=>[1,10,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[1,4,7,10,5,9,8,2,6,3]=>[1,10,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,10,7,8,1,2,3,6,5,4]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[7,8,10,9,1,2,3,6,5,4]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[1,8,10,6,9,2,3,7,5,4]=>[1,10,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[1,6,7,10,9,2,3,8,5,4]=>[1,10,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[1,2,7,10,5,9,3,8,6,4]=>[1,2,10,9,8,7,6,5,4,3]=>[3,4,5,6,7,8,9,10,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,2,3,4,5,10,9,8,7,6]=>[1,2,3,4,5,10,9,8,7,6]=>[6,7,8,9,10,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],[.,[.,[.,[.,.]]]]]
[11,12,9,10,7,8,5,6,3,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[9,10,12,11,7,8,5,6,3,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,7,8,10,9,5,6,3,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[7,10,12,8,11,9,5,6,3,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[7,8,9,12,11,10,5,6,3,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,9,10,5,6,8,7,3,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[9,10,12,11,5,6,8,7,3,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,5,8,10,6,9,7,3,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[5,10,12,8,11,6,9,7,3,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[5,8,9,12,11,6,10,7,3,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,5,6,7,10,9,8,3,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[5,10,12,6,7,11,9,8,3,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[5,6,9,12,7,11,10,8,3,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[5,6,7,8,12,11,10,9,3,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,9,10,7,8,3,4,6,5,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[9,10,12,11,7,8,3,4,6,5,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,7,8,10,9,3,4,6,5,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[7,10,12,8,11,9,3,4,6,5,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[7,8,9,12,11,10,3,4,6,5,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,9,10,3,6,8,4,7,5,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[9,10,12,11,3,6,8,4,7,5,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,3,8,10,6,9,4,7,5,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[3,10,12,8,11,6,9,4,7,5,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[3,8,9,12,11,6,10,4,7,5,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,3,6,7,10,9,4,8,5,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[3,10,12,6,7,11,9,4,8,5,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[3,6,9,12,7,11,10,4,8,5,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,9,10,3,4,5,8,7,6,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[9,10,12,11,3,4,5,8,7,6,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,3,8,10,4,5,9,7,6,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[3,10,12,8,11,4,5,9,7,6,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[3,8,9,12,11,4,5,10,7,6,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,3,4,7,10,5,9,8,6,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[3,10,12,4,7,11,5,9,8,6,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[3,4,9,12,7,11,5,10,8,6,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,9,10,7,8,5,6,1,2,4,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[9,10,12,11,7,8,5,6,1,2,4,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,7,8,10,9,5,6,1,2,4,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[7,10,12,8,11,9,5,6,1,2,4,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[7,8,9,12,11,10,5,6,1,2,4,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,9,10,5,6,8,7,1,2,4,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[9,10,12,11,5,6,8,7,1,2,4,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,5,8,10,6,9,7,1,2,4,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[5,10,12,8,11,6,9,7,1,2,4,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[5,8,9,12,11,6,10,7,1,2,4,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,5,6,7,10,9,8,1,2,4,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[5,10,12,6,7,11,9,8,1,2,4,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[5,6,9,12,7,11,10,8,1,2,4,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[5,6,7,8,12,11,10,9,1,2,4,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,9,10,7,8,1,4,6,2,5,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[9,10,12,11,7,8,1,4,6,2,5,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,7,8,10,9,1,4,6,2,5,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[7,10,12,8,11,9,1,4,6,2,5,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[7,8,9,12,11,10,1,4,6,2,5,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[1,10,12,8,11,6,9,4,7,2,5,3]=>[1,12,11,10,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,10,11,12,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]
[1,8,9,12,11,6,10,4,7,2,5,3]=>[1,12,11,10,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,10,11,12,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]
[1,10,12,6,7,11,9,4,8,2,5,3]=>[1,12,11,10,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,10,11,12,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]
[1,6,9,12,7,11,10,4,8,2,5,3]=>[1,12,11,10,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,10,11,12,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]
[1,6,7,8,12,11,10,4,9,2,5,3]=>[1,12,11,10,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,10,11,12,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]
[1,10,12,8,11,4,5,9,7,2,6,3]=>[1,12,11,10,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,10,11,12,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]
[1,8,9,12,11,4,5,10,7,2,6,3]=>[1,12,11,10,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,10,11,12,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]
[1,10,12,4,7,11,5,9,8,2,6,3]=>[1,12,11,10,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,10,11,12,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]
[1,4,9,12,7,11,5,10,8,2,6,3]=>[1,12,11,10,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,10,11,12,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]
[1,4,7,8,12,11,5,10,9,2,6,3]=>[1,12,11,10,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,10,11,12,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]
[11,12,9,10,7,8,1,2,3,6,5,4]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[9,10,12,11,7,8,1,2,3,6,5,4]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,7,8,10,9,1,2,3,6,5,4]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[7,10,12,8,11,9,1,2,3,6,5,4]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[7,8,9,12,11,10,1,2,3,6,5,4]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[1,10,12,8,11,6,9,2,3,7,5,4]=>[1,12,11,10,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,10,11,12,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]
[1,8,9,12,11,6,10,2,3,7,5,4]=>[1,12,11,10,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,10,11,12,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]
[1,10,12,6,7,11,9,2,3,8,5,4]=>[1,12,11,10,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,10,11,12,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]
[1,6,9,12,7,11,10,2,3,8,5,4]=>[1,12,11,10,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,10,11,12,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]
[1,2,3,4,5,6,12,11,10,9,8,7]=>[1,2,3,4,5,6,12,11,10,9,8,7]=>[7,8,9,10,11,12,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],[.,[.,[.,[.,[.,.]]]]]]
[3,1,2,4,5,6,7,8,9]=>[3,2,1,4,5,6,7,8,9]=>[9,8,7,6,5,4,1,2,3]=>[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.]
[2,4,1,3,5,6,7,8,9]=>[3,4,1,2,5,6,7,8,9]=>[9,8,7,6,5,2,1,4,3]=>[[[[[[[.,.],[[.,.],.]],.],.],.],.],.]
[2,3,5,1,4,6,7,8,9]=>[4,2,5,1,3,6,7,8,9]=>[9,8,7,6,3,1,5,2,4]=>[[[[[[.,[.,.]],[[.,.],.]],.],.],.],.]
[3,6,8,7,1,2,5,4]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[6,2,8,5,4,7,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,5,7,2,4,8,1,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,4,1,6,5,8,7,2]=>[8,3,2,5,4,7,6,1]=>[1,6,7,4,5,2,3,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[3,8,5,2,7,4,1,6]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[5,2,7,4,1,3,6,8]=>[6,5,7,4,2,1,3,8]=>[8,3,1,2,4,7,5,6]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[4,3,5,1,2,8,7,6]=>[5,4,3,2,1,8,7,6]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[3,1,4,6,2,8,7,5]=>[5,2,3,8,1,7,6,4]=>[4,6,7,1,8,3,2,5]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]
[3,4,5,8,7,2,1,6]=>[7,6,3,8,5,2,1,4]=>[4,1,2,5,8,3,6,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[1,4,7,2,6,3,5,8]=>[1,6,7,4,5,2,3,8]=>[8,3,2,5,4,7,6,1]=>[[[[.,.],.],[[.,.],[[.,.],.]]],.]
[8,4,7,5,2,1,6,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,1,4,7,2,3,6,5]=>[8,2,6,7,5,3,4,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[1,8,5,7,3,4,6,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,3,5,1,7,4,2,8]=>[7,6,4,3,5,2,1,8]=>[8,1,2,5,3,4,6,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[6,1,4,8,7,3,2,5]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,4,8,5,7,1,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,4,8,6,3,7,2,5]=>[1,7,8,6,5,4,2,3]=>[3,2,4,5,6,8,7,1]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[5,4,7,6,3,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,6,3,7,5,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,1,3,5,8,6,2,7]=>[7,2,3,4,8,6,1,5]=>[5,1,6,8,4,3,2,7]=>[[.,[[[.,.],.],.]],[.,[[.,.],.]]]
[5,7,4,3,8,1,2,6]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[1,4,8,3,7,6,5,2]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[4,3,8,2,1,6,5,7]=>[5,4,8,2,1,7,6,3]=>[3,6,7,1,2,8,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[3,8,4,2,7,1,5,6]=>[6,8,4,3,7,1,5,2]=>[2,5,1,7,3,4,8,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[3,1,2,5,7,6,4,8]=>[3,2,1,7,6,5,4,8]=>[8,4,5,6,7,1,2,3]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[1,8,2,7,6,5,4,3]=>[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[3,8,1,6,7,5,4,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,7,2,6,8,5,1,4]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[7,2,3,8,5,6,1,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,2,1,7,5,6,4,3]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[8,1,3,6,5,7,4,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,2,4,3,6,1,5,7]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[1,7,8,5,4,3,6,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,8,5,4,3,1,6,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,7,1,4,2,5,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,6,1,4,2,7,5,8]=>[5,7,3,4,1,6,2,8]=>[8,2,6,1,4,3,7,5]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[3,4,1,8,5,7,6,2]=>[8,3,2,7,5,6,4,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[3,6,5,1,2,8,4,7]=>[5,7,4,3,1,8,2,6]=>[6,2,8,1,3,4,7,5]=>[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]
[3,8,5,6,7,2,1,4]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[8,1,7,6,2,4,3,5]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,5,6,1,4,2,3,7]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,6,5,4,7,1,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,6,4,5,7,2,3,8]=>[1,7,6,4,5,3,2,8]=>[8,2,3,5,4,6,7,1]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[8,3,6,1,7,2,4,5]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[1,8,6,5,7,3,4,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,7,5,3,6,8,4,2]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[7,4,1,6,5,8,3,2]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[4,1,5,8,7,6,3,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,2,5,8,6,7,3,4]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[4,2,1,5,8,7,3,6]=>[7,3,2,4,8,6,1,5]=>[5,1,6,8,4,2,3,7]=>[[.,[[.,[.,.]],.]],[.,[[.,.],.]]]
[5,2,4,6,1,7,3,8]=>[7,5,3,4,2,6,1,8]=>[8,1,6,2,4,3,5,7]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[1,5,3,6,8,7,4,2]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[3,5,4,6,1,8,2,7]=>[7,5,3,4,2,8,1,6]=>[6,1,8,2,4,3,5,7]=>[[.,[.,[[.,.],[.,.]]]],[[.,.],.]]
[3,1,5,7,6,8,2,4]=>[7,2,8,5,4,6,1,3]=>[3,1,6,4,5,8,2,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[1,4,5,6,8,7,2,3]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,4,6,3,7,2,8,5]=>[1,6,8,4,5,2,7,3]=>[3,7,2,5,4,8,6,1]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]
[8,6,2,5,4,1,7,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,7,2,6,5,4,1,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[7,6,2,5,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,7,5,2,6,3,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[3,2,6,4,7,5,1,8]=>[7,2,6,4,5,3,1,8]=>[8,1,3,5,4,6,2,7]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[6,2,3,7,5,4,1,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[1,3,4,7,6,2,8,5]=>[1,6,3,8,5,2,7,4]=>[4,7,2,5,8,3,6,1]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[2,8,3,6,1,7,5,4]=>[5,8,3,7,1,6,4,2]=>[2,4,6,1,7,3,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[8,7,2,5,1,6,4,3]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[3,8,2,6,5,1,7,4]=>[6,8,3,7,5,1,4,2]=>[2,4,1,5,7,3,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[7,8,2,5,4,1,6,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,5,2,6,1,7,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,5,1,3,7,2,8,6]=>[6,4,3,2,8,1,7,5]=>[5,7,1,8,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[6,1,3,7,5,2,8,4]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[7,1,3,6,2,8,5,4]=>[8,2,5,7,3,6,4,1]=>[1,4,6,3,7,5,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[8,1,3,6,2,7,5,4]=>[8,2,5,7,3,6,4,1]=>[1,4,6,3,7,5,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[1,2,4,7,3,8,6,5]=>[1,2,5,8,3,7,6,4]=>[4,6,7,3,8,5,2,1]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]
[7,1,8,2,6,5,4,3]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[3,1,8,6,2,7,5,4]=>[5,2,8,7,1,6,4,3]=>[3,4,6,1,7,8,2,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[4,1,7,8,2,6,5,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,6,1,8,2,7,4,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,2,7,8,1,6,5,3]=>[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[3,2,8,6,1,7,5,4]=>[5,2,8,7,1,6,4,3]=>[3,4,6,1,7,8,2,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[7,2,8,1,6,5,4,3]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[1,8,7,2,6,5,4,3]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[2,8,7,1,6,5,4,3]=>[4,8,7,1,6,5,3,2]=>[2,3,5,6,1,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[3,8,7,1,6,5,4,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,8,7,5,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,8,5,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,6,3,8,4,1,7,2]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[7,3,8,5,4,1,6,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,4,8,6,5,1,7,2]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[8,3,7,5,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,4,8,6,2,7,5,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,4,6,7,1,5,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,6,4,7,8,1,3,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,4,6,5,1,2,8,7]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[7,3,5,1,2,8,6,4]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[1,3,2,7,4,8,6,5]=>[1,3,2,8,5,7,6,4]=>[4,6,7,5,8,2,3,1]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[7,2,1,6,3,8,5,4]=>[8,3,2,7,5,6,4,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[2,3,1,7,6,4,8,5]=>[3,2,1,8,6,5,7,4]=>[4,7,5,6,8,1,2,3]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[4,5,2,1,7,3,8,6]=>[6,4,3,2,8,1,7,5]=>[5,7,1,8,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[5,6,7,1,2,8,4,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,7,5,1,2,8,6,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,7,1,6,2,8,5,4]=>[5,8,3,7,1,6,4,2]=>[2,4,6,1,7,3,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[7,6,1,2,8,5,4,3]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[8,6,1,2,7,5,4,3]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[1,7,2,3,8,6,5,4]=>[1,8,3,4,7,6,5,2]=>[2,5,6,7,4,3,8,1]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[8,7,1,2,6,5,4,3]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[7,8,1,2,6,5,4,3]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[3,8,1,6,2,7,5,4]=>[5,8,3,7,1,6,4,2]=>[2,4,6,1,7,3,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[4,8,5,1,2,7,6,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,6,8,1,2,7,4,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,1,3,7,4,8,6,5]=>[2,1,3,8,5,7,6,4]=>[4,6,7,5,8,3,1,2]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]
[4,2,7,3,6,8,1,5]=>[7,4,8,2,5,6,1,3]=>[3,1,6,5,2,8,4,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[5,3,6,4,2,8,1,7]=>[7,5,4,3,2,8,1,6]=>[6,1,8,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[5,2,6,4,7,3,1,8]=>[7,6,4,3,5,2,1,8]=>[8,1,2,5,3,4,6,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[2,6,3,4,7,5,1,8]=>[7,6,3,4,5,2,1,8]=>[8,1,2,5,4,3,6,7]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[2,6,3,5,4,8,1,7]=>[7,5,3,4,2,8,1,6]=>[6,1,8,2,4,3,5,7]=>[[.,[.,[[.,.],[.,.]]]],[[.,.],.]]
[2,7,4,3,5,8,1,6]=>[7,8,4,3,5,6,1,2]=>[2,1,6,5,3,4,8,7]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]
[7,3,6,4,2,8,1,5]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,6,4,5,2,8,1,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,4,3,1,8,2,7,6]=>[6,4,3,2,8,1,7,5]=>[5,7,1,8,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[6,5,4,2,7,3,1,8]=>[7,6,4,3,5,2,1,8]=>[8,1,2,5,3,4,6,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[5,4,1,7,2,6,3,8]=>[7,5,3,6,2,4,1,8]=>[8,1,4,2,6,3,5,7]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[5,4,1,8,3,2,6,7]=>[6,5,3,8,2,1,7,4]=>[4,7,1,2,8,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[6,5,2,8,3,4,7,1]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[7,4,2,1,8,3,6,5]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[6,5,3,4,8,2,7,1]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[6,1,5,3,8,2,7,4]=>[8,2,6,4,7,3,5,1]=>[1,5,3,7,4,6,2,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[4,6,3,1,8,2,7,5]=>[6,8,4,3,7,1,5,2]=>[2,5,1,7,3,4,8,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[5,8,4,2,7,3,1,6]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[8,2,6,4,7,3,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,2,5,7,4,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,3,2,6,4,1,7]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,3,1,7,2,5,4,6]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[7,5,2,6,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,1,6,2,5,4,3,8]=>[7,2,6,4,5,3,1,8]=>[8,1,3,5,4,6,2,7]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[8,1,7,3,5,6,4,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,6,1,7,4,5,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,1,3,7,2,6,5,4]=>[8,2,5,7,3,6,4,1]=>[1,4,6,3,7,5,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[1,7,6,8,3,2,4,5]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,1,5,8,4,2,6,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,3,8,4,5,2,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,2,8,5,3,4,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,1,8,4,3,2,5,7]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[1,2,7,3,4,6,5,8]=>[1,2,7,4,5,6,3,8]=>[8,3,6,5,4,7,2,1]=>[[[[.,.],.],[[[.,.],.],[.,.]]],.]
[1,7,8,4,3,5,6,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,6,2,8,3,5,7,4]=>[1,8,3,7,5,6,4,2]=>[2,4,6,5,7,3,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[4,3,1,6,8,2,7,5]=>[6,3,2,8,7,1,5,4]=>[4,5,1,7,8,2,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]
[5,7,4,8,3,2,1,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[5,2,8,7,3,4,1,6]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[6,4,7,5,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,8,3,7,6,2,4,5]=>[1,8,6,7,5,3,4,2]=>[2,4,3,5,7,6,8,1]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[5,8,3,2,6,4,1,7]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[6,8,2,4,7,5,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,3,8,2,6,4,1,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,6,8,2,7,3,1,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[2,6,8,7,3,4,1,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[7,2,8,6,3,5,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,1,7,2,5,4,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,8,7,4,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,8,6,4,3,5,1,7]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[2,7,6,3,5,4,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,7,6,5,2,4,3,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[1,8,6,5,3,2,4,7]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,8,7,4,6,2,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,3,7,6,2,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,1,8,6,5,2,3,4]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,4,7,5,3,2,1,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,2,5,4,3,1,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,3,2,5,4,7,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,8,4,5,2,3,7,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,5,7,8,4,3,6,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,3,8,1,5,4,7,2]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[6,2,1,8,5,4,7,3]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[2,6,5,7,4,1,3,8]=>[6,7,5,4,3,1,2,8]=>[8,2,1,3,4,5,7,6]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[2,5,6,8,4,3,7,1]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[2,5,4,7,1,8,6,3]=>[5,8,3,7,1,6,4,2]=>[2,4,6,1,7,3,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[5,2,1,8,7,6,4,3]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[4,8,5,7,6,1,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,6,7,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,7,5,6,2,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,5,4,8,2,1,7,3]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[5,8,4,7,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,5,7,4,8,2,6,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,5,7,3,2,8,6,4]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[5,8,3,2,7,6,4,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,2,1,4,3,6,7,8]=>[5,3,2,4,1,6,7,8]=>[8,7,6,1,4,2,3,5]=>[[[[.,[[.,[.,.]],[.,.]]],.],.],.]
[3,5,7,4,2,6,1,8]=>[7,5,6,4,2,3,1,8]=>[8,1,3,2,4,6,5,7]=>[[.,[[.,.],[.,[[.,.],[.,.]]]]],.]
[3,6,4,5,1,2,7,8]=>[6,5,4,3,2,1,7,8]=>[8,7,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[4,2,1,5,7,6,3,8]=>[7,3,2,4,6,5,1,8]=>[8,1,5,6,4,2,3,7]=>[[.,[[[.,[.,.]],.],[.,[.,.]]]],.]
[3,5,4,7,1,6,2,8]=>[7,5,3,6,2,4,1,8]=>[8,1,4,2,6,3,5,7]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[3,4,7,5,6,1,2,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[3,4,5,8,6,7,1,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,3,2,1,7,6,5,9,8,10]=>[4,3,2,1,7,6,5,9,8,10]=>[10,8,9,5,6,7,1,2,3,4]=>[[[[.,[.,[.,[.,.]]]],[.,[.,.]]],[.,.]],.]
[4,3,2,1,7,6,5,10,8,9]=>[4,3,2,1,7,6,5,10,9,8]=>[8,9,10,5,6,7,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],[.,[.,.]]]
[4,3,2,1,10,6,5,9,7,8]=>[4,3,2,1,10,7,6,9,8,5]=>[5,8,9,6,7,10,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],[.,[.,.]]]]
[10,6,2,1,9,5,3,8,4,7]=>[10,9,4,3,8,7,6,5,2,1]=>[1,2,5,6,7,8,3,4,9,10]=>[.,[.,[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]]]
[2,1,4,3,6,5,10,9,7,8]=>[2,1,4,3,6,5,10,9,8,7]=>[7,8,9,10,5,6,3,4,1,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,[.,[.,.]]]]
[2,1,4,3,8,7,5,6,10,9]=>[2,1,4,3,8,7,6,5,10,9]=>[9,10,5,6,7,8,3,4,1,2]=>[[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]],[.,.]]
[2,1,4,3,10,9,8,5,6,7]=>[2,1,4,3,10,9,8,7,6,5]=>[5,6,7,8,9,10,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,6,5,3,4,8,7,10,9]=>[2,1,6,5,4,3,8,7,10,9]=>[9,10,7,8,3,4,5,6,1,2]=>[[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]],[.,.]]
[2,1,6,5,3,4,10,9,7,8]=>[2,1,6,5,4,3,10,9,8,7]=>[7,8,9,10,3,4,5,6,1,2]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[2,1,8,7,6,3,4,5,10,9]=>[2,1,8,7,6,5,4,3,10,9]=>[9,10,3,4,5,6,7,8,1,2]=>[[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[2,1,10,9,8,7,3,4,5,6]=>[2,1,10,9,8,7,6,5,4,3]=>[3,4,5,6,7,8,9,10,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,3,1,2,6,5,8,7,10,9]=>[4,3,2,1,6,5,8,7,10,9]=>[9,10,7,8,5,6,1,2,3,4]=>[[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]],[.,.]]
[4,3,1,2,6,5,10,9,7,8]=>[4,3,2,1,6,5,10,9,8,7]=>[7,8,9,10,5,6,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],[.,.]],[.,[.,[.,.]]]]
[4,3,1,2,8,7,5,6,10,9]=>[4,3,2,1,8,7,6,5,10,9]=>[9,10,5,6,7,8,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]],[.,.]]
[4,3,1,2,10,9,8,5,6,7]=>[4,3,2,1,10,9,8,7,6,5]=>[5,6,7,8,9,10,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]]
[6,5,4,1,2,3,8,7,10,9]=>[6,5,4,3,2,1,8,7,10,9]=>[9,10,7,8,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]],[.,.]]
[6,5,4,1,2,3,10,9,7,8]=>[6,5,4,3,2,1,10,9,8,7]=>[7,8,9,10,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]]
[8,7,6,5,1,2,3,4,10,9]=>[8,7,6,5,4,3,2,1,10,9]=>[9,10,1,2,3,4,5,6,7,8]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]]
[10,9,6,5,1,2,8,3,4,7]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[10,9,8,5,1,7,2,3,4,6]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[2,1,4,3,6,5,8,7,12,11,9,10]=>[2,1,4,3,6,5,8,7,12,11,10,9]=>[9,10,11,12,7,8,5,6,3,4,1,2]=>[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,[.,[.,.]]]]
[2,1,4,3,6,5,10,9,7,8,12,11]=>[2,1,4,3,6,5,10,9,8,7,12,11]=>[11,12,7,8,9,10,5,6,3,4,1,2]=>[[[[[.,[.,.]],[.,.]],[.,.]],[.,[.,[.,.]]]],[.,.]]
[2,1,4,3,6,5,12,11,10,7,8,9]=>[2,1,4,3,6,5,12,11,10,9,8,7]=>[7,8,9,10,11,12,5,6,3,4,1,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,4,3,8,7,5,6,10,9,12,11]=>[2,1,4,3,8,7,6,5,10,9,12,11]=>[11,12,9,10,5,6,7,8,3,4,1,2]=>[[[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]],[.,.]],[.,.]]
[2,1,4,3,8,7,5,6,12,11,9,10]=>[2,1,4,3,8,7,6,5,12,11,10,9]=>[9,10,11,12,5,6,7,8,3,4,1,2]=>[[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[2,1,4,3,10,9,8,5,6,7,12,11]=>[2,1,4,3,10,9,8,7,6,5,12,11]=>[11,12,5,6,7,8,9,10,3,4,1,2]=>[[[[.,[.,.]],[.,.]],[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[2,1,4,3,12,11,10,9,5,6,7,8]=>[2,1,4,3,12,11,10,9,8,7,6,5]=>[5,6,7,8,9,10,11,12,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,1,6,5,3,4,8,7,10,9,12,11]=>[2,1,6,5,4,3,8,7,10,9,12,11]=>[11,12,9,10,7,8,3,4,5,6,1,2]=>[[[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]],[.,.]],[.,.]]
[2,1,6,5,3,4,8,7,12,11,9,10]=>[2,1,6,5,4,3,8,7,12,11,10,9]=>[9,10,11,12,7,8,3,4,5,6,1,2]=>[[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]],[.,[.,[.,.]]]]
[2,1,6,5,3,4,10,9,7,8,12,11]=>[2,1,6,5,4,3,10,9,8,7,12,11]=>[11,12,7,8,9,10,3,4,5,6,1,2]=>[[[[.,[.,.]],[.,[.,[.,.]]]],[.,[.,[.,.]]]],[.,.]]
[2,1,6,5,3,4,12,11,10,7,8,9]=>[2,1,6,5,4,3,12,11,10,9,8,7]=>[7,8,9,10,11,12,3,4,5,6,1,2]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,8,7,6,3,4,5,10,9,12,11]=>[2,1,8,7,6,5,4,3,10,9,12,11]=>[11,12,9,10,3,4,5,6,7,8,1,2]=>[[[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]],[.,.]],[.,.]]
[2,1,8,7,6,3,4,5,12,11,9,10]=>[2,1,8,7,6,5,4,3,12,11,10,9]=>[9,10,11,12,3,4,5,6,7,8,1,2]=>[[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]]
[2,1,10,9,8,7,3,4,5,6,12,11]=>[2,1,10,9,8,7,6,5,4,3,12,11]=>[11,12,3,4,5,6,7,8,9,10,1,2]=>[[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]]
[2,1,12,11,10,9,8,3,4,5,6,7]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[3,4,5,6,7,8,9,10,11,12,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[4,3,1,2,6,5,8,7,10,9,12,11]=>[4,3,2,1,6,5,8,7,10,9,12,11]=>[11,12,9,10,7,8,5,6,1,2,3,4]=>[[[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]],[.,.]],[.,.]]
[4,3,1,2,6,5,8,7,12,11,9,10]=>[4,3,2,1,6,5,8,7,12,11,10,9]=>[9,10,11,12,7,8,5,6,1,2,3,4]=>[[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]],[.,[.,[.,.]]]]
[4,3,1,2,6,5,10,9,7,8,12,11]=>[4,3,2,1,6,5,10,9,8,7,12,11]=>[11,12,7,8,9,10,5,6,1,2,3,4]=>[[[[.,[.,[.,[.,.]]]],[.,.]],[.,[.,[.,.]]]],[.,.]]
[4,3,1,2,6,5,12,11,10,7,8,9]=>[4,3,2,1,6,5,12,11,10,9,8,7]=>[7,8,9,10,11,12,5,6,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[4,3,1,2,8,7,5,6,10,9,12,11]=>[4,3,2,1,8,7,6,5,10,9,12,11]=>[11,12,9,10,5,6,7,8,1,2,3,4]=>[[[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]],[.,.]],[.,.]]
[4,3,1,2,8,7,5,6,12,11,9,10]=>[4,3,2,1,8,7,6,5,12,11,10,9]=>[9,10,11,12,5,6,7,8,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[4,3,1,2,10,9,8,5,6,7,12,11]=>[4,3,2,1,10,9,8,7,6,5,12,11]=>[11,12,5,6,7,8,9,10,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[4,3,1,2,12,11,10,9,5,6,7,8]=>[4,3,2,1,12,11,10,9,8,7,6,5]=>[5,6,7,8,9,10,11,12,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,5,4,1,2,3,8,7,10,9,12,11]=>[6,5,4,3,2,1,8,7,10,9,12,11]=>[11,12,9,10,7,8,1,2,3,4,5,6]=>[[[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]],[.,.]],[.,.]]
[6,5,4,1,2,3,8,7,12,11,9,10]=>[6,5,4,3,2,1,8,7,12,11,10,9]=>[9,10,11,12,7,8,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]],[.,[.,[.,.]]]]
[6,5,4,1,2,3,10,9,7,8,12,11]=>[6,5,4,3,2,1,10,9,8,7,12,11]=>[11,12,7,8,9,10,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]],[.,.]]
[6,5,4,1,2,3,12,11,10,7,8,9]=>[6,5,4,3,2,1,12,11,10,9,8,7]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,[.,[.,.]]]]]]
[8,7,6,5,1,2,3,4,10,9,12,11]=>[8,7,6,5,4,3,2,1,10,9,12,11]=>[11,12,9,10,1,2,3,4,5,6,7,8]=>[[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]],[.,.]]
[8,7,6,5,1,2,3,4,12,11,9,10]=>[8,7,6,5,4,3,2,1,12,11,10,9]=>[9,10,11,12,1,2,3,4,5,6,7,8]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,[.,[.,.]]]]
[10,9,8,7,6,1,2,3,4,5,12,11]=>[10,9,8,7,6,5,4,3,2,1,12,11]=>[11,12,1,2,3,4,5,6,7,8,9,10]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],[.,.]]
[12,11,10,9,8,7,1,2,3,4,5,6]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[7,6,5,4,3,2,9,1,8]=>[8,6,5,4,3,2,9,1,7]=>[7,1,9,2,3,4,5,6,8]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[[.,.],.]]
[6,5,4,3,9,2,8,1,7]=>[8,6,4,3,9,2,7,1,5]=>[5,1,7,2,9,3,4,6,8]=>[[.,[.,[.,[.,.]]]],[[.,.],[[.,.],.]]]
[6,5,4,3,2,8,1,7,9]=>[7,5,4,3,2,8,1,6,9]=>[9,6,1,8,2,3,4,5,7]=>[[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]],.]
[5,4,9,3,8,2,7,1,6]=>[8,6,9,4,7,2,5,1,3]=>[3,1,5,2,7,4,9,6,8]=>[[.,[.,.]],[[.,.],[[.,.],[[.,.],.]]]]
[5,4,3,8,2,7,1,6,9]=>[7,5,3,8,2,6,1,4,9]=>[9,4,1,6,2,8,3,5,7]=>[[[.,[.,[.,.]]],[[.,.],[[.,.],.]]],.]
[5,4,3,2,7,9,1,6,8]=>[7,4,3,2,8,9,1,5,6]=>[6,5,1,9,8,2,3,4,7]=>[[[.,[.,[.,[.,.]]]],.],[[[.,.],.],.]]
[5,4,3,2,7,1,6,8,9]=>[6,4,3,2,7,1,5,8,9]=>[9,8,5,1,7,2,3,4,6]=>[[[[.,[.,[.,[.,.]]]],[[.,.],.]],.],.]
[4,8,3,7,2,6,1,5,9]=>[7,8,5,6,3,4,1,2,9]=>[9,2,1,4,3,6,5,8,7]=>[[[.,.],[[.,.],[[.,.],[[.,.],.]]]],.]
[4,3,7,2,6,9,1,5,8]=>[7,4,8,2,5,9,1,3,6]=>[6,3,1,9,5,2,8,4,7]=>[[[.,[.,.]],[[.,.],.]],[[[.,.],.],.]]
[4,3,7,2,6,1,5,8,9]=>[6,4,7,2,5,1,3,8,9]=>[9,8,3,1,5,2,7,4,6]=>[[[[.,[.,.]],[[.,.],[[.,.],.]]],.],.]
[4,3,2,6,8,1,5,7,9]=>[6,3,2,7,8,1,4,5,9]=>[9,5,4,1,8,7,2,3,6]=>[[[[.,[.,[.,.]]],.],[[[.,.],.],.]],.]
[4,3,2,6,1,5,7,8,9]=>[5,3,2,6,1,4,7,8,9]=>[9,8,7,4,1,6,2,3,5]=>[[[[[.,[.,[.,.]]],[[.,.],.]],.],.],.]
[3,6,9,2,5,8,1,4,7]=>[7,8,9,4,5,6,1,2,3]=>[3,2,1,6,5,4,9,8,7]=>[[[.,.],.],[[[.,.],.],[[[.,.],.],.]]]
[3,6,2,5,8,1,4,7,9]=>[6,7,3,4,8,1,2,5,9]=>[9,5,2,1,8,4,3,7,6]=>[[[[.,.],[[.,.],.]],[[[.,.],.],.]],.]
[3,6,2,5,1,4,7,8,9]=>[5,6,3,4,1,2,7,8,9]=>[9,8,7,2,1,4,3,6,5]=>[[[[[.,.],[[.,.],[[.,.],.]]],.],.],.]
[3,2,5,7,9,1,4,6,8]=>[6,2,7,8,9,1,3,4,5]=>[5,4,3,1,9,8,7,2,6]=>[[[[.,[.,.]],.],.],[[[[.,.],.],.],.]]
[3,2,5,7,1,4,6,8,9]=>[5,2,6,7,1,3,4,8,9]=>[9,8,4,3,1,7,6,2,5]=>[[[[[.,[.,.]],.],[[[.,.],.],.]],.],.]
[3,2,5,1,4,6,7,8,9]=>[4,2,5,1,3,6,7,8,9]=>[9,8,7,6,3,1,5,2,4]=>[[[[[[.,[.,.]],[[.,.],.]],.],.],.],.]
[2,4,6,8,1,3,5,7,9]=>[5,6,7,8,1,2,3,4,9]=>[9,4,3,2,1,8,7,6,5]=>[[[[[.,.],.],.],[[[[.,.],.],.],.]],.]
[2,4,6,1,3,5,7,8,9]=>[4,5,6,1,2,3,7,8,9]=>[9,8,7,3,2,1,6,5,4]=>[[[[[[.,.],.],[[[.,.],.],.]],.],.],.]
[8,7,6,5,4,3,2,10,1,9]=>[9,7,6,5,4,3,2,10,1,8]=>[8,1,10,2,3,4,5,6,7,9]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[[.,.],.]]
[7,6,5,4,3,10,2,9,1,8]=>[9,7,5,4,3,10,2,8,1,6]=>[6,1,8,2,10,3,4,5,7,9]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],[[.,.],.]]]
[7,6,5,4,3,2,9,1,8,10]=>[8,6,5,4,3,2,9,1,7,10]=>[10,7,1,9,2,3,4,5,6,8]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],[[.,.],.]],.]
[6,5,4,10,3,9,2,8,1,7]=>[9,7,5,10,3,8,2,6,1,4]=>[4,1,6,2,8,3,10,5,7,9]=>[[.,[.,[.,.]]],[[.,.],[[.,.],[[.,.],.]]]]
[6,5,4,3,9,2,8,1,7,10]=>[8,6,4,3,9,2,7,1,5,10]=>[10,5,1,7,2,9,3,4,6,8]=>[[[.,[.,[.,[.,.]]]],[[.,.],[[.,.],.]]],.]
[6,5,4,3,2,8,10,1,7,9]=>[8,5,4,3,2,9,10,1,6,7]=>[7,6,1,10,9,2,3,4,5,8]=>[[[.,[.,[.,[.,[.,.]]]]],.],[[[.,.],.],.]]
[6,5,4,3,2,8,1,7,9,10]=>[7,5,4,3,2,8,1,6,9,10]=>[10,9,6,1,8,2,3,4,5,7]=>[[[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]],.],.]
[5,10,4,9,3,8,2,7,1,6]=>[9,10,7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7,10,9]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]
[5,4,9,3,8,2,7,1,6,10]=>[8,6,9,4,7,2,5,1,3,10]=>[10,3,1,5,2,7,4,9,6,8]=>[[[.,[.,.]],[[.,.],[[.,.],[[.,.],.]]]],.]
[5,4,3,8,2,7,10,1,6,9]=>[8,5,3,9,2,6,10,1,4,7]=>[7,4,1,10,6,2,9,3,5,8]=>[[[.,[.,[.,.]]],[[.,.],.]],[[[.,.],.],.]]
[5,4,3,8,2,7,1,6,9,10]=>[7,5,3,8,2,6,1,4,9,10]=>[10,9,4,1,6,2,8,3,5,7]=>[[[[.,[.,[.,.]]],[[.,.],[[.,.],.]]],.],.]
[5,4,3,2,7,9,1,6,8,10]=>[7,4,3,2,8,9,1,5,6,10]=>[10,6,5,1,9,8,2,3,4,7]=>[[[[.,[.,[.,[.,.]]]],.],[[[.,.],.],.]],.]
[5,4,3,2,7,1,6,8,9,10]=>[6,4,3,2,7,1,5,8,9,10]=>[10,9,8,5,1,7,2,3,4,6]=>[[[[[.,[.,[.,[.,.]]]],[[.,.],.]],.],.],.]
[4,8,3,7,2,6,10,1,5,9]=>[8,9,5,6,3,4,10,1,2,7]=>[7,2,1,10,4,3,6,5,9,8]=>[[[.,.],[[.,.],[[.,.],.]]],[[[.,.],.],.]]
[4,8,3,7,2,6,1,5,9,10]=>[7,8,5,6,3,4,1,2,9,10]=>[10,9,2,1,4,3,6,5,8,7]=>[[[[.,.],[[.,.],[[.,.],[[.,.],.]]]],.],.]
[4,3,7,10,2,6,9,1,5,8]=>[8,5,9,10,2,6,7,1,3,4]=>[4,3,1,7,6,2,10,9,5,8]=>[[[.,[.,.]],.],[[[.,.],.],[[[.,.],.],.]]]
[4,3,7,2,6,9,1,5,8,10]=>[7,4,8,2,5,9,1,3,6,10]=>[10,6,3,1,9,5,2,8,4,7]=>[[[[.,[.,.]],[[.,.],.]],[[[.,.],.],.]],.]
[4,3,7,2,6,1,5,8,9,10]=>[6,4,7,2,5,1,3,8,9,10]=>[10,9,8,3,1,5,2,7,4,6]=>[[[[[.,[.,.]],[[.,.],[[.,.],.]]],.],.],.]
[4,3,2,6,8,10,1,5,7,9]=>[7,3,2,8,9,10,1,4,5,6]=>[6,5,4,1,10,9,8,2,3,7]=>[[[[.,[.,[.,.]]],.],.],[[[[.,.],.],.],.]]
[4,3,2,6,8,1,5,7,9,10]=>[6,3,2,7,8,1,4,5,9,10]=>[10,9,5,4,1,8,7,2,3,6]=>[[[[[.,[.,[.,.]]],.],[[[.,.],.],.]],.],.]
[4,3,2,6,1,5,7,8,9,10]=>[5,3,2,6,1,4,7,8,9,10]=>[10,9,8,7,4,1,6,2,3,5]=>[[[[[[.,[.,[.,.]]],[[.,.],.]],.],.],.],.]
[3,6,9,2,5,8,1,4,7,10]=>[7,8,9,4,5,6,1,2,3,10]=>[10,3,2,1,6,5,4,9,8,7]=>[[[[.,.],.],[[[.,.],.],[[[.,.],.],.]]],.]
[3,6,2,5,8,10,1,4,7,9]=>[7,8,3,4,9,10,1,2,5,6]=>[6,5,2,1,10,9,4,3,8,7]=>[[[[.,.],[[.,.],.]],.],[[[[.,.],.],.],.]]
[3,6,2,5,8,1,4,7,9,10]=>[6,7,3,4,8,1,2,5,9,10]=>[10,9,5,2,1,8,4,3,7,6]=>[[[[[.,.],[[.,.],.]],[[[.,.],.],.]],.],.]
[3,6,2,5,1,4,7,8,9,10]=>[5,6,3,4,1,2,7,8,9,10]=>[10,9,8,7,2,1,4,3,6,5]=>[[[[[[.,.],[[.,.],[[.,.],.]]],.],.],.],.]
[3,2,5,7,9,1,4,6,8,10]=>[6,2,7,8,9,1,3,4,5,10]=>[10,5,4,3,1,9,8,7,2,6]=>[[[[[.,[.,.]],.],.],[[[[.,.],.],.],.]],.]
[3,2,5,7,1,4,6,8,9,10]=>[5,2,6,7,1,3,4,8,9,10]=>[10,9,8,4,3,1,7,6,2,5]=>[[[[[[.,[.,.]],.],[[[.,.],.],.]],.],.],.]
[3,2,5,1,4,6,7,8,9,10]=>[4,2,5,1,3,6,7,8,9,10]=>[10,9,8,7,6,3,1,5,2,4]=>[[[[[[[.,[.,.]],[[.,.],.]],.],.],.],.],.]
[2,4,6,8,1,3,5,7,9,10]=>[5,6,7,8,1,2,3,4,9,10]=>[10,9,4,3,2,1,8,7,6,5]=>[[[[[[.,.],.],.],[[[[.,.],.],.],.]],.],.]
[2,4,6,1,3,5,7,8,9,10]=>[4,5,6,1,2,3,7,8,9,10]=>[10,9,8,7,3,2,1,6,5,4]=>[[[[[[[.,.],.],[[[.,.],.],.]],.],.],.],.]
[2,4,1,3,5,6,7,8,9,10]=>[3,4,1,2,5,6,7,8,9,10]=>[10,9,8,7,6,5,2,1,4,3]=>[[[[[[[[.,.],[[.,.],.]],.],.],.],.],.],.]
[4,1,8,2,7,3,6,5]=>[6,2,8,4,7,1,5,3]=>[3,5,1,7,4,8,2,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[4,1,7,2,8,3,6,5]=>[6,2,8,4,7,1,5,3]=>[3,5,1,7,4,8,2,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[7,1,3,2,8,4,6,5]=>[8,2,4,3,7,6,5,1]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[7,1,8,2,4,3,6,5]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,1,7,2,5,3,6,4]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,1,5,2,8,3,6,4]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[5,1,7,2,8,3,6,4]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[5,1,8,2,7,3,6,4]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[5,1,8,2,4,3,7,6]=>[6,2,8,4,5,1,7,3]=>[3,7,1,5,4,8,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[8,1,6,2,4,3,7,5]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,1,8,2,4,3,7,5]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,1,8,2,5,3,7,4]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,1,6,2,5,3,7,4]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,1,6,2,7,3,5,4]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,1,8,2,7,3,5,4]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,1,7,2,8,3,5,4]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,1,7,2,5,3,8,4]=>[8,2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[6,1,7,2,4,3,8,5]=>[8,2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[5,1,6,2,4,3,8,7]=>[6,2,5,4,3,1,8,7]=>[7,8,1,3,4,5,2,6]=>[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]
[7,1,5,2,4,3,8,6]=>[8,2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[7,1,6,2,4,3,8,5]=>[8,2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[7,1,6,2,5,3,8,4]=>[8,2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[7,1,6,2,8,3,5,4]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,1,8,2,6,3,5,4]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[1,8,2,7,5,4,6,3]=>[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,8,2,7,4,3,5,6]=>[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,8,6,4,7,2,3,5]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,8,1,5,2,3,6]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,1,7,2,6,3,5,8]=>[6,2,7,4,5,1,3,8]=>[8,3,1,5,4,7,2,6]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[7,5,8,3,2,4,1,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,8,5,4,3,6,2,7]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,8,5,4,3,7,2,6]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,8,5,4,7,2,6,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,4,2,5,3,7,6]=>[1,8,6,4,5,3,7,2]=>[2,7,3,5,4,6,8,1]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[1,8,5,4,2,6,7,3]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[7,4,8,2,1,3,5,6]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[4,1,7,3,2,5,6,8]=>[5,2,7,4,1,6,3,8]=>[8,3,6,1,4,7,2,5]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[7,5,4,8,2,3,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,4,8,2,1,3,7,5]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[7,3,8,1,5,6,2,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,1,7,2,6,8,4,5]=>[4,2,8,1,7,6,5,3]=>[3,5,6,7,1,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[5,1,7,4,2,6,8,3]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[4,1,6,3,2,5,8,7]=>[5,2,6,4,1,3,8,7]=>[7,8,3,1,4,6,2,5]=>[[[.,[.,.]],[.,[[.,.],.]]],[.,.]]
[5,4,3,7,1,2,8,6]=>[6,5,3,8,2,1,7,4]=>[4,7,1,2,8,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[4,3,1,6,2,5,7,8]=>[5,3,2,6,1,4,7,8]=>[8,7,4,1,6,2,3,5]=>[[[[.,[.,[.,.]]],[[.,.],.]],.],.]
[6,5,4,3,7,1,8,2]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[5,4,2,7,1,6,8,3]=>[8,5,3,6,2,4,7,1]=>[1,7,4,2,6,3,5,8]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[6,5,1,7,3,8,2,4]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[6,3,2,8,5,7,1,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,5,4,2,8,3,7,1]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[6,5,4,3,8,2,7,1]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[6,5,4,3,8,7,1,2]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[7,5,4,8,6,1,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,3,8,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,3,8,1,7,5,2,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,5,8,3,1,7,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,4,8,2,1,7,3,6]=>[7,5,8,4,2,6,1,3]=>[3,1,6,2,4,8,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[5,4,3,8,1,6,2,7]=>[7,5,3,8,2,6,1,4]=>[4,1,6,2,8,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[5,4,3,7,1,6,2,8]=>[7,5,3,6,2,4,1,8]=>[8,1,4,2,6,3,5,7]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[6,4,2,8,5,1,3,7]=>[7,6,5,8,3,2,1,4]=>[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[7,6,4,8,5,1,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,2,8,6,3,1,4,5]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[7,2,8,6,1,5,3,4]=>[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[2,1,7,8,3,6,4,5]=>[2,1,8,7,5,6,4,3]=>[3,4,6,5,7,8,1,2]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[6,4,1,7,8,2,3,5]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,2,1,6,7,3,5,8]=>[6,3,2,7,5,1,4,8]=>[8,4,1,5,7,2,3,6]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[4,3,1,5,2,7,6,8]=>[5,3,2,4,1,7,6,8]=>[8,6,7,1,4,2,3,5]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[5,4,2,7,3,8,1,6]=>[7,5,3,8,2,6,1,4]=>[4,1,6,2,8,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[4,1,5,3,2,8,6,7]=>[5,2,4,3,1,8,7,6]=>[6,7,8,1,3,4,2,5]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]
[3,1,6,2,8,7,4,5]=>[4,2,8,1,7,6,5,3]=>[3,5,6,7,1,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[6,3,1,7,8,5,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,4,1,7,8,2,6,3]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[6,5,4,1,7,8,3,2]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[5,4,3,1,6,7,2,8]=>[7,4,3,2,5,6,1,8]=>[8,1,6,5,2,3,4,7]=>[[.,[[[.,[.,[.,.]]],.],[.,.]]],.]
[6,5,4,2,7,8,3,1]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[4,3,1,5,2,6,8,7]=>[5,3,2,4,1,6,8,7]=>[7,8,6,1,4,2,3,5]=>[[[.,[[.,[.,.]],[.,.]]],.],[.,.]]
[6,3,8,1,2,5,7,4]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[3,6,7,1,2,5,8,4]=>[5,8,6,4,1,3,7,2]=>[2,7,3,1,4,6,8,5]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]
[7,8,3,1,2,5,6,4]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,8,1,3,2,4,6,5]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[7,8,2,1,3,5,4,6]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[5,2,3,7,1,8,6,4]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[2,5,3,6,1,8,7,4]=>[5,8,3,4,1,7,6,2]=>[2,6,7,1,4,3,8,5]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[2,6,7,3,1,8,4,5]=>[5,8,7,4,1,6,3,2]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[2,6,7,1,3,5,4,8]=>[4,7,6,1,5,3,2,8]=>[8,2,3,5,1,6,7,4]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[6,2,8,3,1,7,4,5]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[3,2,5,7,1,8,4,6]=>[5,2,7,8,1,6,3,4]=>[4,3,6,1,8,7,2,5]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]
[4,3,1,2,7,8,6,5]=>[4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[5,1,2,7,3,6,4,8]=>[7,2,3,6,5,4,1,8]=>[8,1,4,5,6,3,2,7]=>[[.,[[[.,.],.],[.,[.,[.,.]]]]],.]
[5,1,4,7,8,2,3,6]=>[7,2,6,8,5,3,1,4]=>[4,1,3,5,8,6,2,7]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]
[5,3,4,7,8,6,1,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,5,4,6,8,7,1,2]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[1,5,4,6,8,2,3,7]=>[1,7,6,4,8,3,2,5]=>[5,2,3,8,4,6,7,1]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]
[1,5,3,6,2,7,8,4]=>[1,8,5,4,3,6,7,2]=>[2,7,6,3,4,5,8,1]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[5,2,4,7,8,1,6,3]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[4,2,5,7,6,1,8,3]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[4,5,2,8,6,1,7,3]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[5,3,1,8,2,6,7,4]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[6,1,8,3,2,4,7,5]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[4,3,5,7,6,8,1,2]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[4,5,1,8,6,2,3,7]=>[7,6,3,8,5,2,1,4]=>[4,1,2,5,8,3,6,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[5,2,1,8,3,6,4,7]=>[7,3,2,8,5,6,1,4]=>[4,1,6,5,8,2,3,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[3,4,2,1,8,7,5,6]=>[4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[7,6,5,4,2,1,8,3]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,6,5,4,8,1,3,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,7,6,5,4,2,1,9,3]=>[9,7,6,5,4,3,2,8,1]=>[1,8,2,3,4,5,6,7,9]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]]
[7,6,5,8,2,1,4,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,6,5,3,2,1,9,4]=>[9,7,6,5,4,3,2,8,1]=>[1,8,2,3,4,5,6,7,9]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]]
[8,7,6,4,3,2,1,9,5]=>[9,7,6,5,4,3,2,8,1]=>[1,8,2,3,4,5,6,7,9]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]]
[8,7,5,4,3,2,1,9,6]=>[9,7,6,5,4,3,2,8,1]=>[1,8,2,3,4,5,6,7,9]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]]
[8,5,4,3,2,1,7,6]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,6,5,4,3,2,1,9,7]=>[9,7,6,5,4,3,2,8,1]=>[1,8,2,3,4,5,6,7,9]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]]
[7,6,5,4,3,2,1,9,8]=>[7,6,5,4,3,2,1,9,8]=>[8,9,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]
[7,6,5,4,1,8,3,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[9,8,7,6,5,4,2,1,10,3]=>[10,8,7,6,5,4,3,2,9,1]=>[1,9,2,3,4,5,6,7,8,10]=>[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]]
[7,6,5,2,8,1,4,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,7,6,5,9,2,1,4,3]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,8,7,6,5,3,2,1,10,4]=>[10,8,7,6,5,4,3,2,9,1]=>[1,9,2,3,4,5,6,7,8,10]=>[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]]
[7,6,5,8,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,6,9,3,2,1,5,4]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,8,7,6,4,3,2,1,10,5]=>[10,8,7,6,5,4,3,2,9,1]=>[1,9,2,3,4,5,6,7,8,10]=>[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]]
[7,6,8,5,2,1,4,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,9,4,3,2,1,6,5]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,8,7,5,4,3,2,1,10,6]=>[10,8,7,6,5,4,3,2,9,1]=>[1,9,2,3,4,5,6,7,8,10]=>[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]]
[7,8,6,3,2,1,5,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,9,5,4,3,2,1,7,6]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,8,6,5,4,3,2,1,10,7]=>[10,8,7,6,5,4,3,2,9,1]=>[1,9,2,3,4,5,6,7,8,10]=>[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]]
[8,7,4,3,2,1,6,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[9,6,5,4,3,2,1,8,7]=>[9,7,6,5,4,3,2,8,1]=>[1,8,2,3,4,5,6,7,9]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]]
[9,7,6,5,4,3,2,1,10,8]=>[10,8,7,6,5,4,3,2,9,1]=>[1,9,2,3,4,5,6,7,8,10]=>[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]]
[7,8,9,10,4,5,6,2,3,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[7,8,9,10,4,5,2,3,6,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[7,8,9,4,5,10,2,3,6,1]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[7,8,9,4,5,2,3,6,10,1]=>[10,8,7,6,5,4,3,2,9,1]=>[1,9,2,3,4,5,6,7,8,10]=>[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]]
[7,8,4,5,9,10,2,3,6,1]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[7,8,4,5,9,2,3,6,10,1]=>[10,8,7,6,5,4,3,2,9,1]=>[1,9,2,3,4,5,6,7,8,10]=>[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]]
[7,8,9,10,4,5,6,2,1,3]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[7,8,9,10,4,5,2,6,1,3]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[7,8,9,4,5,10,2,6,1,3]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[7,8,4,5,9,10,2,6,1,3]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[7,8,9,10,4,5,2,1,3,6]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[7,8,9,4,5,10,2,1,3,6]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[7,8,9,4,5,2,1,3,6,10]=>[9,8,7,6,5,4,3,2,1,10]=>[10,1,2,3,4,5,6,7,8,9]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[7,8,4,5,9,10,2,1,3,6]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[7,8,4,5,9,2,1,3,6,10]=>[9,8,7,6,5,4,3,2,1,10]=>[10,1,2,3,4,5,6,7,8,9]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[7,8,9,10,4,2,5,6,1,3]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[7,8,9,4,10,2,5,6,1,3]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[7,8,4,9,10,2,5,6,1,3]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[7,8,9,10,4,2,5,1,3,6]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[7,8,9,4,10,2,5,1,3,6]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[7,8,9,4,2,5,1,3,6,10]=>[9,8,7,6,5,4,3,2,1,10]=>[10,1,2,3,4,5,6,7,8,9]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[7,8,4,9,10,2,5,1,3,6]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[7,8,4,9,2,5,1,3,6,10]=>[9,8,7,6,5,4,3,2,1,10]=>[10,1,2,3,4,5,6,7,8,9]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[7,4,8,9,10,2,5,6,1,3]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[7,4,8,9,10,2,5,1,3,6]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[7,4,8,9,2,5,1,3,6,10]=>[9,8,7,6,5,4,3,2,1,10]=>[10,1,2,3,4,5,6,7,8,9]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[7,8,2,4,5,1,3,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,6,7,2,5,1,3,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,8,1,3,2,4,5,6]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[7,8,4,1,5,2,3,6]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,2,3,6,1,4,7,8]=>[6,5,3,4,2,1,7,8]=>[8,7,1,2,4,3,5,6]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[2,5,3,6,1,4,7,8]=>[5,6,3,4,1,2,7,8]=>[8,7,2,1,4,3,6,5]=>[[[[.,.],[[.,.],[[.,.],.]]],.],.]
[4,6,7,1,5,2,3,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,6,7,3,5,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,4,7,1,5,2,3,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,2,7,3,1,4,5,8]=>[7,5,6,4,2,3,1,8]=>[8,1,3,2,4,6,5,7]=>[[.,[[.,.],[.,[[.,.],[.,.]]]]],.]
[3,2,5,6,1,4,7,8]=>[5,2,6,4,1,3,7,8]=>[8,7,3,1,4,6,2,5]=>[[[[.,[.,.]],[.,[[.,.],.]]],.],.]
[3,5,2,6,1,4,7,8]=>[5,6,3,4,1,2,7,8]=>[8,7,2,1,4,3,6,5]=>[[[[.,.],[[.,.],[[.,.],.]]],.],.]
[5,1,4,6,7,2,3,8]=>[7,2,6,4,5,3,1,8]=>[8,1,3,5,4,6,2,7]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[3,5,4,6,7,8,1,2]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[1,5,4,6,7,2,3,8]=>[1,7,6,4,5,3,2,8]=>[8,2,3,5,4,6,7,1]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[1,6,7,3,2,4,5,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[1,5,3,6,2,4,7,8]=>[1,6,5,4,3,2,7,8]=>[8,7,2,3,4,5,6,1]=>[[[[.,.],[.,[.,[.,[.,.]]]]],.],.]
[5,1,3,6,2,4,7,8]=>[6,2,5,4,3,1,7,8]=>[8,7,1,3,4,5,2,6]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[5,2,4,6,7,1,3,8]=>[7,6,3,4,5,2,1,8]=>[8,1,2,5,4,3,6,7]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[2,5,4,6,7,1,3,8]=>[6,7,3,4,5,1,2,8]=>[8,2,1,5,4,3,7,6]=>[[[.,.],[[[.,.],.],[[.,.],.]]],.]
[2,6,7,4,5,1,3,8]=>[6,7,5,4,3,1,2,8]=>[8,2,1,3,4,5,7,6]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[6,2,7,4,5,1,3,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,2,5,6,7,1,3,8]=>[7,6,3,4,5,2,1,8]=>[8,1,2,5,4,3,6,7]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[4,5,2,6,7,1,3,8]=>[7,6,3,4,5,2,1,8]=>[8,1,2,5,4,3,6,7]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[5,3,1,6,2,4,7,8]=>[6,5,3,4,2,1,7,8]=>[8,7,1,2,4,3,5,6]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[6,3,7,4,5,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,4,1,6,7,2,3,8]=>[7,6,3,4,5,2,1,8]=>[8,1,2,5,4,3,6,7]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[7,3,2,5,4,1,6,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[7,3,5,4,2,1,6,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,3,5,2,4,1,6,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,6,5,2,1,4,3,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,3,4,1,6,2,5,8]=>[7,6,4,3,5,2,1,8]=>[8,1,2,5,3,4,6,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[7,3,4,1,6,5,2,8]=>[7,6,4,3,5,2,1,8]=>[8,1,2,5,3,4,6,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[7,3,4,1,5,6,2,8]=>[7,6,4,3,5,2,1,8]=>[8,1,2,5,3,4,6,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[7,3,2,5,1,6,4,8]=>[7,5,3,6,2,4,1,8]=>[8,1,4,2,6,3,5,7]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[7,6,5,4,1,3,2,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,3,4,1,5,2,6,8]=>[7,6,4,3,5,2,1,8]=>[8,1,2,5,3,4,6,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[1,3,6,7,2,5,8,4]=>[1,5,8,6,2,4,7,3]=>[3,7,4,2,6,8,5,1]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]
[1,7,4,6,2,8,5,3]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[4,3,1,7,2,6,8,5]=>[5,3,2,8,1,6,7,4]=>[4,7,6,1,8,2,3,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[5,6,1,4,7,3,8,2]=>[8,6,3,4,5,2,7,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[5,3,2,1,7,4,8,6]=>[6,4,3,2,8,1,7,5]=>[5,7,1,8,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[1,3,4,5,8,7,2,6]=>[1,7,3,4,8,6,2,5]=>[5,2,6,8,4,3,7,1]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]
[6,3,4,5,8,1,7,2]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[2,4,5,1,6,8,7,3]=>[4,8,3,1,5,7,6,2]=>[2,6,7,5,1,3,8,4]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]
[3,1,2,5,6,8,7,4]=>[3,2,1,8,5,7,6,4]=>[4,6,7,5,8,1,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[3,7,5,4,6,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,1,4,6,5,8,2,7]=>[7,2,3,5,4,8,1,6]=>[6,1,8,4,5,3,2,7]=>[[.,[[[.,.],.],[.,.]]],[[.,.],.]]
[2,3,4,5,8,6,1,7]=>[7,2,3,4,8,6,1,5]=>[5,1,6,8,4,3,2,7]=>[[.,[[[.,.],.],.]],[.,[[.,.],.]]]
[2,3,4,5,8,1,7,6]=>[6,2,3,4,8,1,7,5]=>[5,7,1,8,4,3,2,6]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]
[3,1,4,6,5,8,7,2]=>[8,2,3,5,4,7,6,1]=>[1,6,7,4,5,3,2,8]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[3,7,5,4,6,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,6,1,4,7,2,8,3]=>[8,6,3,4,5,2,7,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[3,1,4,6,7,8,5,2]=>[8,2,3,7,5,6,4,1]=>[1,4,6,5,7,3,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[1,4,5,2,6,8,7,3]=>[1,8,4,3,5,7,6,2]=>[2,6,7,5,3,4,8,1]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]
[3,7,5,2,6,8,1,4]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[3,7,5,2,6,8,4,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,6,1,2,7,4,8,3]=>[8,6,3,4,5,2,7,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[6,3,5,2,4,7,8,1]=>[8,5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[5,3,2,1,4,7,8,6]=>[5,4,3,2,1,8,7,6]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[5,3,1,4,2,7,8,6]=>[5,4,3,2,1,8,7,6]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[5,3,1,2,4,7,8,6]=>[5,4,3,2,1,8,7,6]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[7,1,5,2,6,8,4,3]=>[8,2,7,4,5,6,3,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[7,1,5,2,6,8,3,4]=>[8,2,7,4,5,6,3,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[1,7,4,6,5,8,3,2]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[2,7,4,6,1,8,3,5]=>[5,8,7,4,1,6,3,2]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[2,7,4,6,1,8,5,3]=>[5,8,7,4,1,6,3,2]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[4,3,2,6,7,1,8,5]=>[6,3,2,8,5,1,7,4]=>[4,7,1,5,8,2,3,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[7,3,2,5,6,8,1,4]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[7,1,5,4,6,8,2,3]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[2,7,4,6,5,8,1,3]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[7,3,4,5,8,6,1,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,3,4,5,8,1,6,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,3,4,5,8,1,2,6]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,3,4,5,8,6,2,7]=>[1,7,3,4,8,6,2,5]=>[5,2,6,8,4,3,7,1]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]
[1,3,4,5,8,2,7,6]=>[1,6,3,4,8,2,7,5]=>[5,7,2,8,4,3,6,1]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]
[6,3,4,5,8,2,1,7]=>[7,6,4,3,8,2,1,5]=>[5,1,2,8,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[6,3,4,5,8,2,7,1]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[7,3,4,5,8,6,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,7,4,6,5,8,3,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,1,5,4,6,8,3,2]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[7,3,2,5,6,8,4,1]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[5,7,4,6,1,8,3,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,3,4,5,8,1,2,7]=>[7,6,4,3,8,2,1,5]=>[5,1,2,8,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[7,3,4,5,8,2,1,6]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,3,4,5,8,2,6,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,7,6,1,8,2,5,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,8,6,1,7,5,2,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,7,8,2,6,1,5,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,4,2,8,3,5,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,6,4,2,7,5,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,7,3,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,6,1,7,5,3,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,4,7,1,8,3,2,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,4,8,3,6,1,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,4,3,6,2,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,10,7,9,5,6,3,4,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,10,6,8,5,7,3,4,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,10,6,9,5,7,3,4,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[7,10,6,9,5,8,3,4,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,10,7,8,4,6,3,5,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,10,7,9,4,6,3,5,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,10,6,8,4,7,3,5,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,10,6,9,4,7,3,5,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[7,10,6,9,4,8,3,5,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,10,5,8,4,7,3,6,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,10,5,9,4,7,3,6,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[7,10,5,9,4,8,3,6,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[6,10,5,9,4,8,3,7,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,10,7,8,5,6,2,4,1,3]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,10,7,9,5,6,2,4,1,3]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,10,6,8,5,7,2,4,1,3]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,10,6,9,5,7,2,4,1,3]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[7,10,6,9,5,8,2,4,1,3]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,10,7,8,4,6,2,5,1,3]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,10,7,9,4,6,2,5,1,3]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,10,6,8,4,7,2,5,1,3]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,10,6,9,4,7,2,5,1,3]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[7,10,6,9,4,8,2,5,1,3]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,10,5,8,4,7,2,6,1,3]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,10,5,9,4,7,2,6,1,3]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[7,10,5,9,4,8,2,6,1,3]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[6,10,5,9,4,8,2,7,1,3]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,10,7,8,3,6,2,5,1,4]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,10,7,9,3,6,2,5,1,4]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,10,6,8,3,7,2,5,1,4]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,10,6,9,3,7,2,5,1,4]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[7,10,6,9,3,8,2,5,1,4]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,10,5,8,3,7,2,6,1,4]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,10,5,9,3,7,2,6,1,4]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[7,10,5,9,3,8,2,6,1,4]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[6,10,5,9,3,8,2,7,1,4]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,10,4,8,3,7,2,6,1,5]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,10,4,9,3,7,2,6,1,5]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[7,10,4,9,3,8,2,6,1,5]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[6,10,4,9,3,8,2,7,1,5]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,12,9,11,7,8,5,6,3,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,8,10,7,9,5,6,3,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[10,12,8,11,7,9,5,6,3,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[9,12,8,11,7,10,5,6,3,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,9,10,6,8,5,7,3,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[10,12,9,11,6,8,5,7,3,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,8,10,6,9,5,7,3,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[10,12,8,11,6,9,5,7,3,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[9,12,8,11,6,10,5,7,3,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,7,10,6,9,5,8,3,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[10,12,7,11,6,9,5,8,3,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[9,12,7,11,6,10,5,8,3,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[8,12,7,11,6,10,5,9,3,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,9,10,7,8,4,6,3,5,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[10,12,9,11,7,8,4,6,3,5,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,8,10,7,9,4,6,3,5,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[10,12,8,11,7,9,4,6,3,5,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[9,12,8,11,7,10,4,6,3,5,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,9,10,6,8,4,7,3,5,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[10,12,9,11,6,8,4,7,3,5,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,8,10,6,9,4,7,3,5,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[10,12,8,11,6,9,4,7,3,5,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[9,12,8,11,6,10,4,7,3,5,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,7,10,6,9,4,8,3,5,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[10,12,7,11,6,9,4,8,3,5,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[9,12,7,11,6,10,4,8,3,5,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[8,12,7,11,6,10,4,9,3,5,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,9,10,5,8,4,7,3,6,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[10,12,9,11,5,8,4,7,3,6,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,8,10,5,9,4,7,3,6,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[10,12,8,11,5,9,4,7,3,6,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[9,12,8,11,5,10,4,7,3,6,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,7,10,5,9,4,8,3,6,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[10,12,7,11,5,9,4,8,3,6,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[9,12,7,11,5,10,4,8,3,6,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[8,12,7,11,5,10,4,9,3,6,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,6,10,5,9,4,8,3,7,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[10,12,6,11,5,9,4,8,3,7,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[9,12,6,11,5,10,4,8,3,7,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[8,12,6,11,5,10,4,9,3,7,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[7,12,6,11,5,10,4,9,3,8,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,9,10,7,8,5,6,2,4,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[10,12,9,11,7,8,5,6,2,4,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,8,10,7,9,5,6,2,4,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[10,12,8,11,7,9,5,6,2,4,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[9,12,8,11,7,10,5,6,2,4,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,9,10,6,8,5,7,2,4,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[10,12,9,11,6,8,5,7,2,4,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,8,10,6,9,5,7,2,4,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[10,12,8,11,6,9,5,7,2,4,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[9,12,8,11,6,10,5,7,2,4,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,7,10,6,9,5,8,2,4,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[10,12,7,11,6,9,5,8,2,4,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[9,12,7,11,6,10,5,8,2,4,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[8,12,7,11,6,10,5,9,2,4,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,9,10,7,8,4,6,2,5,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[10,12,9,11,7,8,4,6,2,5,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,8,10,7,9,4,6,2,5,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[10,12,8,11,7,9,4,6,2,5,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[9,12,8,11,7,10,4,6,2,5,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,9,10,6,8,4,7,2,5,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[10,12,9,11,6,8,4,7,2,5,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,8,10,6,9,4,7,2,5,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[10,12,8,11,6,9,4,7,2,5,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[9,12,8,11,6,10,4,7,2,5,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,7,10,6,9,4,8,2,5,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[10,12,7,11,6,9,4,8,2,5,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[9,12,7,11,6,10,4,8,2,5,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[8,12,7,11,6,10,4,9,2,5,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,9,10,5,8,4,7,2,6,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[10,12,9,11,5,8,4,7,2,6,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,8,10,5,9,4,7,2,6,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[10,12,8,11,5,9,4,7,2,6,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[9,12,8,11,5,10,4,7,2,6,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,7,10,5,9,4,8,2,6,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[10,12,7,11,5,9,4,8,2,6,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[9,12,7,11,5,10,4,8,2,6,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[8,12,7,11,5,10,4,9,2,6,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,6,10,5,9,4,8,2,7,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[10,12,6,11,5,9,4,8,2,7,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[9,12,6,11,5,10,4,8,2,7,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[8,12,6,11,5,10,4,9,2,7,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[7,12,6,11,5,10,4,9,2,8,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,9,10,7,8,3,6,2,5,1,4]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[10,12,9,11,7,8,3,6,2,5,1,4]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,8,10,7,9,3,6,2,5,1,4]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[10,12,8,11,7,9,3,6,2,5,1,4]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[9,12,8,11,7,10,3,6,2,5,1,4]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,9,10,6,8,3,7,2,5,1,4]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[10,12,9,11,6,8,3,7,2,5,1,4]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,8,10,6,9,3,7,2,5,1,4]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[10,12,8,11,6,9,3,7,2,5,1,4]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[9,12,8,11,6,10,3,7,2,5,1,4]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,7,10,6,9,3,8,2,5,1,4]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[10,12,7,11,6,9,3,8,2,5,1,4]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[9,12,7,11,6,10,3,8,2,5,1,4]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[8,12,7,11,6,10,3,9,2,5,1,4]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,9,10,5,8,3,7,2,6,1,4]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[10,12,9,11,5,8,3,7,2,6,1,4]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,8,10,5,9,3,7,2,6,1,4]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[10,12,8,11,5,9,3,7,2,6,1,4]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[9,12,8,11,5,10,3,7,2,6,1,4]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,7,10,5,9,3,8,2,6,1,4]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[10,12,7,11,5,9,3,8,2,6,1,4]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[9,12,7,11,5,10,3,8,2,6,1,4]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[8,12,7,11,5,10,3,9,2,6,1,4]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,6,10,5,9,3,8,2,7,1,4]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[10,12,6,11,5,9,3,8,2,7,1,4]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[9,12,6,11,5,10,3,8,2,7,1,4]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[8,12,6,11,5,10,3,9,2,7,1,4]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[7,12,6,11,5,10,3,9,2,8,1,4]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,9,10,4,8,3,7,2,6,1,5]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[10,12,9,11,4,8,3,7,2,6,1,5]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,8,10,4,9,3,7,2,6,1,5]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[10,12,8,11,4,9,3,7,2,6,1,5]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[9,12,8,11,4,10,3,7,2,6,1,5]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,7,10,4,9,3,8,2,6,1,5]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[10,12,7,11,4,9,3,8,2,6,1,5]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[9,12,7,11,4,10,3,8,2,6,1,5]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[8,12,7,11,4,10,3,9,2,6,1,5]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,6,10,4,9,3,8,2,7,1,5]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[10,12,6,11,4,9,3,8,2,7,1,5]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[9,12,6,11,4,10,3,8,2,7,1,5]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[8,12,6,11,4,10,3,9,2,7,1,5]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[7,12,6,11,4,10,3,9,2,8,1,5]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,5,10,4,9,3,8,2,7,1,6]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[10,12,5,11,4,9,3,8,2,7,1,6]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[9,12,5,11,4,10,3,8,2,7,1,6]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[8,12,5,11,4,10,3,9,2,7,1,6]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[7,12,5,11,4,10,3,9,2,8,1,6]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[6,12,5,11,4,10,3,9,2,8,1,7]=>[11,12,9,10,7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7,10,9,12,11]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[6,2,1,7,3,5,4,8]=>[7,3,2,6,5,4,1,8]=>[8,1,4,5,6,2,3,7]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[2,1,8,6,3,5,4,7]=>[2,1,8,7,5,6,4,3]=>[3,4,6,5,7,8,1,2]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[2,6,3,1,4,8,5,7]=>[4,7,3,1,5,8,2,6]=>[6,2,8,5,1,3,7,4]=>[[[.,.],[[.,[.,.]],.]],[[.,.],.]]
[4,2,1,8,3,6,7,5]=>[5,3,2,8,1,7,6,4]=>[4,6,7,1,8,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[2,1,8,6,3,5,7,4]=>[2,1,8,7,5,6,4,3]=>[3,4,6,5,7,8,1,2]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[2,7,3,1,4,8,5,6]=>[4,8,3,1,5,7,6,2]=>[2,6,7,5,1,3,8,4]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]
[3,2,1,6,4,5,7,8]=>[3,2,1,6,5,4,7,8]=>[8,7,4,5,6,1,2,3]=>[[[[.,[.,[.,.]]],[.,[.,.]]],.],.]
[2,4,7,5,1,6,8,3]=>[5,8,6,4,1,3,7,2]=>[2,7,3,1,4,6,8,5]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]
[4,3,7,5,6,1,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,3,6,8,5,1,7,2]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[2,6,1,8,3,5,7,4]=>[3,8,1,7,5,6,4,2]=>[2,4,6,5,7,1,8,3]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[2,1,6,8,3,7,4,5]=>[2,1,8,7,5,6,4,3]=>[3,4,6,5,7,8,1,2]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[3,2,1,5,6,8,4,7]=>[3,2,1,7,5,8,4,6]=>[6,4,8,5,7,1,2,3]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]
[3,2,1,5,7,4,6,8]=>[3,2,1,6,7,4,5,8]=>[8,5,4,7,6,1,2,3]=>[[[[.,[.,[.,.]]],.],[[.,.],.]],.]
[2,1,6,3,5,8,4,7]=>[2,1,7,4,5,8,3,6]=>[6,3,8,5,4,7,1,2]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]
[8,2,4,1,7,5,6,3]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[3,8,4,7,5,1,6,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,3,6,1,7,5,2]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[8,2,1,7,3,5,4,6]=>[8,3,2,7,5,6,4,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[2,6,1,8,3,5,4,7]=>[3,7,1,8,5,6,2,4]=>[4,2,6,5,8,1,7,3]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[8,2,4,1,7,5,3,6]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[5,8,6,3,1,7,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,4,7,1,8,5,3,6]=>[4,7,8,1,6,5,2,3]=>[3,2,5,6,1,8,7,4]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]
[2,4,8,5,1,6,3,7]=>[5,7,8,4,1,6,2,3]=>[3,2,6,1,4,8,7,5]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]
[6,2,1,7,8,3,5,4]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[2,7,1,8,3,5,6,4]=>[3,8,1,7,5,6,4,2]=>[2,4,6,5,7,1,8,3]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[3,2,1,6,7,4,5,8]=>[3,2,1,7,6,5,4,8]=>[8,4,5,6,7,1,2,3]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[3,2,1,7,4,5,6,8]=>[3,2,1,7,5,6,4,8]=>[8,4,6,5,7,1,2,3]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[2,4,8,5,1,6,7,3]=>[5,8,7,4,1,6,3,2]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[4,3,8,5,6,1,7,2]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[3,2,1,8,4,5,6,7]=>[3,2,1,8,5,6,7,4]=>[4,7,6,5,8,1,2,3]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[1,6,8,3,7,2,4,5]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,8,1,5,7,2,4,6]=>[6,8,3,7,5,1,4,2]=>[2,4,1,5,7,3,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[1,2,6,8,4,7,3,5]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[6,1,5,8,2,4,7,3]=>[8,2,6,7,5,3,4,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[1,2,4,8,3,6,7,5]=>[1,2,5,8,3,7,6,4]=>[4,6,7,3,8,5,2,1]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]
[3,5,7,4,8,6,1,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,3,8,4,7,6,1,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,7,1,2,5,4,6,3]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[5,8,1,2,3,7,6,4]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[1,2,8,4,3,5,7,6]=>[1,2,8,5,4,6,7,3]=>[3,7,6,4,5,8,2,1]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]
[1,2,5,3,7,6,4,8]=>[1,2,7,4,6,5,3,8]=>[8,3,5,6,4,7,2,1]=>[[[[.,.],.],[[.,.],[.,[.,.]]]],.]
[6,1,2,8,7,4,5,3]=>[8,2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[7,1,6,2,8,4,5,3]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[1,2,6,3,8,5,4,7]=>[1,2,7,4,8,6,3,5]=>[5,3,6,8,4,7,2,1]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]
[1,2,8,5,3,6,4,7]=>[1,2,8,7,5,6,4,3]=>[3,4,6,5,7,8,2,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[1,2,7,3,8,5,4,6]=>[1,2,8,4,7,6,5,3]=>[3,5,6,7,4,8,2,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[1,6,4,2,7,3,5,8]=>[1,7,6,4,5,3,2,8]=>[8,2,3,5,4,6,7,1]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[1,8,6,3,2,4,5,7]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[3,1,7,8,6,2,4,5]=>[6,2,8,7,5,1,4,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[1,8,7,2,4,5,6,3]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,8,7,3,5,6,2,4]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,3,2,8,7,4,5,6]=>[1,3,2,8,7,6,5,4]=>[4,5,6,7,8,2,3,1]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]
[1,7,6,3,2,4,5,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[1,2,8,4,3,7,5,6]=>[1,2,8,5,4,7,6,3]=>[3,6,7,4,5,8,2,1]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]
[8,5,1,7,2,4,6,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,3,8,7,4,6,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,8,6,4,7,5,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,1,8,2,7,4,5,3]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[1,2,5,3,8,6,4,7]=>[1,2,7,4,8,6,3,5]=>[5,3,6,8,4,7,2,1]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]
[1,2,7,5,3,6,4,8]=>[1,2,7,6,5,4,3,8]=>[8,3,4,5,6,7,2,1]=>[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]
[1,2,6,3,7,5,4,8]=>[1,2,7,4,6,5,3,8]=>[8,3,5,6,4,7,2,1]=>[[[[.,.],.],[[.,.],[.,[.,.]]]],.]
[1,2,3,7,5,4,8,6]=>[1,2,3,8,6,5,7,4]=>[4,7,5,6,8,3,2,1]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]
[3,7,4,8,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,8,2,7,6,4,5,3]=>[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[2,9,8,7,6,5,4,1,3]=>[8,9,7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7,9,8]=>[[.,.],[.,[.,[.,[.,[.,[[.,.],.]]]]]]]
[2,8,7,6,5,1,4,3]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[2,7,6,3,1,5,8,4]=>[5,8,6,4,1,3,7,2]=>[2,7,3,1,4,6,8,5]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]
[1,8,4,3,6,5,2,7]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,8,4,6,5,3,2,7]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,2,1,6,5,3,8]=>[7,6,4,3,5,2,1,8]=>[8,1,2,5,3,4,6,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[7,6,1,4,3,5,2,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[7,4,1,3,5,2,6,8]=>[7,6,3,4,5,2,1,8]=>[8,1,2,5,4,3,6,7]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[7,3,1,2,4,6,5,8]=>[7,4,3,2,5,6,1,8]=>[8,1,6,5,2,3,4,7]=>[[.,[[[.,[.,[.,.]]],.],[.,.]]],.]
[1,8,6,3,4,5,2,7]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,6,7,4,2,5,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,6,2,1,4,8,5,7]=>[4,7,3,1,5,8,2,6]=>[6,2,8,5,1,3,7,4]=>[[[.,.],[[.,[.,.]],.]],[[.,.],.]]
[3,1,7,2,4,6,8,5]=>[4,2,8,1,5,6,7,3]=>[3,7,6,5,1,8,2,4]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]
[3,4,7,1,5,2,8,6]=>[6,4,8,2,5,1,7,3]=>[3,7,1,5,2,8,4,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[3,6,7,4,1,5,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,3,2,7,1,5,8,6]=>[5,3,2,8,1,6,7,4]=>[4,7,6,1,8,2,3,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[3,1,2,8,6,5,4,7]=>[3,2,1,8,7,6,5,4]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[5,4,8,6,1,2,3,7]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[5,6,8,7,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,8,2,7,4,3,6,5]=>[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[6,5,8,2,3,7,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,4,8,5,3,1,7,2]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[5,7,8,6,1,3,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,4,8,1,6,3,7,5]=>[4,6,8,1,7,2,5,3]=>[3,5,2,7,1,8,6,4]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[3,1,2,8,6,4,7,5]=>[3,2,1,8,7,6,5,4]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[5,3,2,6,4,8,1,7]=>[7,5,3,4,2,8,1,6]=>[6,1,8,2,4,3,5,7]=>[[.,[.,[[.,.],[.,.]]]],[[.,.],.]]
[4,1,6,3,5,8,2,7]=>[7,2,5,4,3,8,1,6]=>[6,1,8,3,4,5,2,7]=>[[.,[[.,.],[.,[.,.]]]],[[.,.],.]]
[1,8,5,3,2,7,6,4]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,8,4,5,2,6,7,3]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[2,4,1,6,7,8,5,3]=>[3,8,1,7,5,6,4,2]=>[2,4,6,5,7,1,8,3]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[5,6,7,3,2,8,1,4]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,5,7,3,6,8,4,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,3,2,1,4,8,6,7]=>[5,4,3,2,1,8,7,6]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[5,3,1,4,2,8,6,7]=>[5,4,3,2,1,8,7,6]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[7,6,1,3,8,5,4,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,4,7,8,1,2,6,5]=>[6,5,8,7,2,1,4,3]=>[3,4,1,2,7,8,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]
[3,6,7,8,1,4,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,6,2,8,1,5,4,7]=>[5,7,3,8,1,6,2,4]=>[4,2,6,1,8,3,7,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[2,3,6,8,5,1,4,7]=>[6,2,7,8,5,1,3,4]=>[4,3,1,5,8,7,2,6]=>[[[.,[.,.]],.],[.,[[[.,.],.],.]]]
[3,1,6,4,8,2,5,7]=>[6,2,7,4,8,1,3,5]=>[5,3,1,8,4,7,2,6]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]
[7,3,2,6,8,5,1,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,3,5,8,4,6,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,5,2,8,4,1,6,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,4,5,8,2,1,3,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,8,5,2,4,6,3,7]=>[1,8,7,4,5,6,3,2]=>[2,3,6,5,4,7,8,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[1,8,4,2,3,5,7,6]=>[1,8,5,4,3,6,7,2]=>[2,7,6,3,4,5,8,1]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[6,4,2,8,3,5,1,7]=>[7,6,5,8,3,2,1,4]=>[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[6,3,4,8,2,5,7,1]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[7,5,4,8,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,7,4,8,5,3,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,1,5,4,8,3,6,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,3,2,5,8,4,6,1]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,4,6,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,4,6,3,8,5,1,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,5,6,8,3,4,1,7]=>[7,6,5,8,3,2,1,4]=>[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[8,4,6,2,7,5,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,6,7,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,5,6,8,4,3,1,7]=>[7,6,5,8,3,2,1,4]=>[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[2,5,7,8,4,1,3,6]=>[6,7,8,5,4,1,2,3]=>[3,2,1,4,5,8,7,6]=>[[[.,.],.],[.,[.,[[[.,.],.],.]]]]
[6,5,7,8,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,5,6,8,2,4,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,4,6,2,8,5,1,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,3,2,6,8,5,1,7]=>[7,3,2,6,8,4,1,5]=>[5,1,4,8,6,2,3,7]=>[[.,[[.,[.,.]],.]],[[.,[.,.]],.]]
[3,5,6,8,2,4,1,7]=>[7,6,5,8,3,2,1,4]=>[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[3,5,6,8,4,2,1,7]=>[7,6,5,8,3,2,1,4]=>[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[2,6,7,8,1,4,5,3]=>[5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[3,6,7,8,1,4,2,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[3,5,7,8,2,1,4,6]=>[6,7,8,5,4,1,2,3]=>[3,2,1,4,5,8,7,6]=>[[[.,.],.],[.,[.,[[[.,.],.],.]]]]
[2,6,7,8,1,4,3,5]=>[5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[6,5,7,8,3,1,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,5,7,8,3,1,4,6]=>[6,7,8,5,4,1,2,3]=>[3,2,1,4,5,8,7,6]=>[[[.,.],.],[.,[.,[[[.,.],.],.]]]]
[2,4,7,3,8,1,5,6]=>[6,4,8,2,7,1,5,3]=>[3,5,1,7,2,8,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[6,4,7,3,8,1,5,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,4,7,3,8,1,2,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,4,6,3,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,3,2,5,4,8,1,7]=>[7,5,3,4,2,8,1,6]=>[6,1,8,2,4,3,5,7]=>[[.,[.,[[.,.],[.,.]]]],[[.,.],.]]
[6,4,5,2,3,8,1,7]=>[7,5,4,3,2,8,1,6]=>[6,1,8,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[6,4,5,3,2,8,1,7]=>[7,5,4,3,2,8,1,6]=>[6,1,8,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[5,4,6,3,8,2,1,7]=>[7,6,4,3,8,2,1,5]=>[5,1,2,8,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[5,4,7,3,8,1,6,2]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[2,5,7,8,3,1,6,4]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[4,5,7,8,3,1,2,6]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[4,5,6,8,2,3,1,7]=>[7,6,5,8,3,2,1,4]=>[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[5,4,6,2,8,3,1,7]=>[7,6,4,3,8,2,1,5]=>[5,1,2,8,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[4,5,7,8,2,1,3,6]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[4,6,7,8,1,3,2,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[4,6,7,8,1,3,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,6,7,8,1,3,5,4]=>[5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[2,6,7,8,1,5,3,4]=>[5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[4,6,7,8,1,5,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,6,7,8,1,2,5,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,5,7,8,2,1,6,3]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[5,4,7,2,8,1,6,3]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[5,3,2,7,8,1,6,4]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[4,3,2,7,8,1,6,5]=>[6,3,2,8,7,1,5,4]=>[4,5,1,7,8,2,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]
[3,5,7,8,2,1,6,4]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[3,6,7,8,1,2,5,4]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[3,6,7,8,1,5,2,4]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[3,6,7,8,1,5,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,6,7,8,1,5,4,3]=>[5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[4,2,7,1,5,3,8,6]=>[6,4,8,2,5,1,7,3]=>[3,7,1,5,2,8,4,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[4,2,8,6,1,5,3,7]=>[7,5,8,6,2,4,1,3]=>[3,1,4,2,6,8,5,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[3,2,6,7,5,1,4,8]=>[6,2,7,5,4,1,3,8]=>[8,3,1,4,5,7,2,6]=>[[[.,[.,.]],[.,[.,[[.,.],.]]]],.]
[4,7,2,1,5,8,6,3]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[7,2,1,3,5,8,6,4]=>[8,3,2,4,7,6,5,1]=>[1,5,6,7,4,2,3,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[2,3,6,4,7,1,5,8]=>[6,2,7,4,5,1,3,8]=>[8,3,1,5,4,7,2,6]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[1,3,4,8,2,7,5,6]=>[1,5,3,8,2,7,6,4]=>[4,6,7,2,8,3,5,1]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[3,1,4,8,2,6,7,5]=>[5,2,3,8,1,7,6,4]=>[4,6,7,1,8,3,2,5]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]
[8,3,1,6,2,5,7,4]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[4,8,6,2,1,5,7,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,3,6,5,1,7,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,4,7,3,5,1,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,4,7,5,1,8,2,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,6,1,7,5,8,2,4]=>[7,8,3,5,4,6,1,2]=>[2,1,6,4,5,3,8,7]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[7,3,5,1,6,8,2,4]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,7,3,5,6,1,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,4,6,8,5,1,7,2]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[4,6,8,2,1,5,7,3]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[6,8,2,1,3,5,7,4]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[1,8,2,3,5,7,4,6]=>[1,8,3,4,7,6,5,2]=>[2,5,6,7,4,3,8,1]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[2,7,3,6,1,4,5,8]=>[5,7,3,6,1,4,2,8]=>[8,2,4,1,6,3,7,5]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[2,6,1,3,5,8,4,7]=>[3,7,1,4,5,8,2,6]=>[6,2,8,5,4,1,7,3]=>[[[.,.],[[[.,.],.],.]],[[.,.],.]]
[7,3,2,5,6,1,4,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[4,7,5,2,6,1,3,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,6,2,8,1,5,3,7]=>[7,6,5,8,3,2,1,4]=>[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[8,4,1,2,7,5,3,6]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[4,5,6,2,7,1,3,8]=>[7,6,4,3,5,2,1,8]=>[8,1,2,5,3,4,6,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[8,5,1,2,6,3,4,7]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[1,6,2,7,4,8,3,5]=>[1,8,3,7,5,6,4,2]=>[2,4,6,5,7,3,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[6,2,1,7,8,5,3,4]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[6,7,3,8,4,1,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,7,8,4,1,5,6,3]=>[5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[2,7,1,8,5,6,3,4]=>[3,8,1,7,6,5,4,2]=>[2,4,5,6,7,1,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[8,2,5,1,6,7,3,4]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,2,4,5,1,6,7,3]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[3,8,4,5,6,1,7,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,5,8,3,6,7,1,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,5,8,3,7,6,1,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,2,8,3,7,1,6,5]=>[6,4,8,2,7,1,5,3]=>[3,5,1,7,2,8,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[7,2,3,4,8,1,6,5]=>[8,6,3,4,7,2,5,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[7,2,3,4,8,1,5,6]=>[8,6,3,4,7,2,5,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[7,6,3,4,8,5,1,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,6,3,5,8,4,1,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,6,3,8,4,5,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,2,3,8,5,1,4,6]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[7,2,3,8,5,1,6,4]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[2,6,4,8,1,5,7,3]=>[5,8,6,7,1,3,4,2]=>[2,4,3,1,7,6,8,5]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]
[7,2,3,8,4,1,5,6]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[7,2,3,5,8,1,4,6]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[7,8,2,3,6,1,4,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,8,2,3,6,1,5,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,2,6,3,7,1,5,8]=>[6,4,7,2,5,1,3,8]=>[8,3,1,5,2,7,4,6]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[7,2,3,5,8,1,6,4]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[7,2,3,8,4,1,6,5]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[2,6,4,8,1,3,7,5]=>[5,8,6,7,1,3,4,2]=>[2,4,3,1,7,6,8,5]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]
[3,6,4,8,1,7,5,2]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[7,6,5,1,2,3,8,4]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,6,5,1,4,2,8,3]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[2,6,4,5,1,8,7,3]=>[5,8,4,3,1,7,6,2]=>[2,6,7,1,3,4,8,5]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[3,5,6,4,1,2,7,8]=>[6,5,4,3,2,1,7,8]=>[8,7,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[7,8,5,4,1,2,6,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,5,6,4,1,2,8,7]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[7,6,5,1,4,2,3,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,6,5,1,2,4,3,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,6,5,1,2,4,8,3]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,6,5,1,3,2,8,4]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,6,5,1,3,2,4,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,6,5,1,3,4,2,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,2,3,4,5,1,8,6]=>[8,6,3,4,5,2,7,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[2,6,4,3,1,5,8,7]=>[5,6,4,3,1,2,8,7]=>[7,8,2,1,3,4,6,5]=>[[[.,.],[.,[.,[[.,.],.]]]],[.,.]]
[2,6,4,3,1,8,5,7]=>[5,7,4,3,1,8,2,6]=>[6,2,8,1,3,4,7,5]=>[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]
[2,6,4,3,1,8,7,5]=>[5,8,4,3,1,7,6,2]=>[2,6,7,1,3,4,8,5]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[3,5,8,4,1,2,7,6]=>[6,5,8,4,2,1,7,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[3,5,8,4,1,2,6,7]=>[6,5,8,4,2,1,7,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[3,5,8,4,1,6,2,7]=>[7,5,8,4,2,6,1,3]=>[3,1,6,2,4,8,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[4,2,8,3,6,1,7,5]=>[6,4,8,2,7,1,5,3]=>[3,5,1,7,2,8,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[3,5,8,4,1,6,7,2]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[2,5,8,4,1,7,3,6]=>[5,7,8,4,1,6,2,3]=>[3,2,6,1,4,8,7,5]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]
[3,6,4,2,1,7,8,5]=>[5,8,4,3,1,6,7,2]=>[2,7,6,1,3,4,8,5]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[3,5,6,4,1,8,7,2]=>[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[2,6,4,5,1,3,7,8]=>[5,6,4,3,1,2,7,8]=>[8,7,2,1,3,4,6,5]=>[[[[.,.],[.,[.,[[.,.],.]]]],.],.]
[7,6,5,1,4,3,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,6,5,1,2,8,4,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,6,5,1,2,8,3,4]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,6,5,1,8,2,4,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,6,5,1,8,2,3,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,6,5,1,8,3,2,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,6,5,1,4,8,2,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,6,4,5,1,7,2,8]=>[7,5,4,3,2,6,1,8]=>[8,1,6,2,3,4,5,7]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[2,5,6,4,1,7,8,3]=>[5,8,4,3,1,6,7,2]=>[2,7,6,1,3,4,8,5]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[7,8,5,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,6,4,5,1,7,8,2]=>[8,5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[7,6,5,1,4,8,3,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,6,5,1,8,3,4,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,6,5,1,8,4,2,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,1,7,6,2,8,5,3]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[7,8,6,2,1,3,5,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,7,6,1,2,8,4,5]=>[5,8,7,4,1,6,3,2]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[2,6,5,3,1,4,8,7]=>[5,6,4,3,1,2,8,7]=>[7,8,2,1,3,4,6,5]=>[[[.,.],[.,[.,[[.,.],.]]]],[.,.]]
[4,6,1,5,3,2,8,7]=>[6,5,3,4,2,1,8,7]=>[7,8,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]
[3,6,1,4,2,5,8,7]=>[5,6,3,4,1,2,8,7]=>[7,8,2,1,4,3,6,5]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]
[2,6,4,5,7,8,1,3]=>[7,8,4,3,5,6,1,2]=>[2,1,6,5,3,4,8,7]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]
[8,7,1,6,5,2,4,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,2,5,6,8,1,3,4]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[2,4,5,6,1,8,7,3]=>[5,8,3,4,1,7,6,2]=>[2,6,7,1,4,3,8,5]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[8,4,1,6,5,7,3,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,8,3,4,7,5,1,6]=>[7,8,3,4,6,5,1,2]=>[2,1,5,6,4,3,8,7]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]
[6,8,2,7,4,3,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,7,8,5,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,2,6,4,7,3,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,6,1,7,3,2,5]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[8,7,3,2,1,5,4,6]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,8,7,1,3,2,4,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,5,1,8,7,4,6,3]=>[3,8,1,7,6,5,4,2]=>[2,4,5,6,7,1,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[3,7,1,8,4,5,6,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,2,3,8,4,7,5,1]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,6,4,3,1,7,2,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,3,7,4,6,1,2,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,1,3,8,6,4,5,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,3,5,8,6,7,4,1]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,4,2,1,8,6,5,3]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[4,6,7,2,5,8,3,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,6,2,5,3,8,1,4]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,5,4,2,8,3,1,7]=>[7,6,4,3,8,2,1,5]=>[5,1,2,8,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[6,1,4,3,8,5,2,7]=>[7,2,6,4,8,3,1,5]=>[5,1,3,8,4,6,2,7]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]
[4,7,6,2,8,1,5,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,4,5,1,7,8,3,2]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[4,2,3,1,7,8,6,5]=>[4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[3,4,2,1,8,6,7,5]=>[4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[2,7,6,8,1,5,3,4]=>[5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[6,4,5,8,3,1,2,7]=>[7,6,5,8,3,2,1,4]=>[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[8,1,3,2,5,6,7,4]=>[8,2,4,3,7,6,5,1]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[3,2,8,7,4,5,1,6]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[6,3,8,5,7,4,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,4,6,8,5,1,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,1,4,8,7,5,3,6]=>[2,1,7,8,6,5,3,4]=>[4,3,5,6,8,7,1,2]=>[[[.,[.,.]],.],[.,[.,[[.,.],.]]]]
[2,1,6,8,3,7,5,4]=>[2,1,8,7,5,6,4,3]=>[3,4,6,5,7,8,1,2]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[6,2,8,1,7,5,4,3]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[2,6,5,4,8,1,3,7]=>[6,7,4,3,8,1,2,5]=>[5,2,1,8,3,4,7,6]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]
[6,5,3,4,8,1,7,2]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[8,4,3,2,5,1,7,6]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[4,2,8,1,5,3,6,7]=>[6,4,8,2,5,1,7,3]=>[3,7,1,5,2,8,4,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[7,4,8,6,2,1,3,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,6,2,8,3,7,5,1]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[2,1,5,8,3,6,4,7]=>[2,1,7,8,5,6,3,4]=>[4,3,6,5,8,7,1,2]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]
[2,8,5,3,6,7,1,4]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[7,8,5,6,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,4,1,6,3,7,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,8,1,3,5,7,6,2]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[3,8,1,4,5,6,2,7]=>[7,8,3,4,5,6,1,2]=>[2,1,6,5,4,3,8,7]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]
[9,7,8,5,6,3,1,4,2]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,7,8,5,3,6,1,4,2]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,7,5,8,3,6,1,4,2]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[7,9,5,8,3,6,1,4,2]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[7,6,8,3,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,9,5,7,3,6,1,4,2]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[8,9,6,7,3,5,1,4,2]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[8,9,6,7,4,5,1,3,2]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[8,9,6,7,4,5,2,3,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,10,7,8,5,6,3,1,4,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,7,8,5,3,1,6,4,2]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,10,7,8,5,3,6,1,4,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,7,5,3,8,6,1,4,2]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,10,7,5,8,3,6,1,4,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[7,5,9,8,3,6,1,4,2]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,7,10,5,8,3,6,1,4,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[7,8,6,3,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,3,8,7,6,1,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[9,8,5,7,3,6,1,4,2]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[10,7,9,5,8,3,6,1,4,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[7,9,6,8,3,5,1,4,2]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[10,8,9,5,7,3,6,1,4,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[6,5,8,4,7,1,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,9,5,7,4,6,1,3,2]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[10,8,9,6,7,3,5,1,4,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,9,6,7,3,5,2,4,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[10,8,9,6,7,4,5,1,3,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[6,7,4,2,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,6,4,8,3,1,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,4,8,5,6,1,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,4,2,5,6,3,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,2,7,5,6,3,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[3,4,7,5,6,2,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,7,3,5,6,2,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[3,7,2,5,6,4,1,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[7,8,3,5,6,1,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,6,8,5,2,7,4,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,2,8,5,1,7,4,3]=>[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[6,7,4,8,2,1,5,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,2,7,8,6,1,5,4]=>[6,2,8,7,5,1,4,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[6,8,4,1,2,3,7,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,1,8,5,6,3,2,7]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[1,8,2,5,6,4,3,7]=>[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[6,1,8,5,3,7,4,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,8,1,5,2,7,6,4]=>[5,8,3,7,1,6,4,2]=>[2,4,6,1,7,3,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[8,2,1,5,3,7,6,4]=>[8,3,2,7,5,6,4,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[1,5,2,4,6,7,8,3]=>[1,8,3,4,5,6,7,2]=>[2,7,6,5,4,3,8,1]=>[[.,.],[[[[[.,.],.],.],.],[.,.]]]
[8,1,6,5,3,7,2,4]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,1,4,6,3,2,8,5]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[3,2,6,4,1,7,8,5]=>[5,2,8,4,1,6,7,3]=>[3,7,6,1,4,8,2,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[7,6,4,3,1,2,8,5]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,6,3,5,1,7,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,5,2,1,6,7,8,4]=>[4,8,3,1,5,6,7,2]=>[2,7,6,5,1,3,8,4]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]
[1,5,3,2,6,7,8,4]=>[1,8,4,3,5,6,7,2]=>[2,7,6,5,3,4,8,1]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]
[8,4,6,5,1,7,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,5,4,6,1,2,8,3]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,2,5,6,1,7,8,4]=>[5,2,8,4,1,6,7,3]=>[3,7,6,1,4,8,2,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[3,2,8,7,6,1,4,5]=>[6,2,8,7,5,1,4,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[6,8,4,7,2,1,3,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,8,7,5,6,1,2,4]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[8,2,7,5,6,1,3,4]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[4,8,6,5,1,7,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,4,2,1,5,8,3]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,7,4,6,1,3,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,6,4,7,3,1,2,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,2,4,3,7,1,8,6]=>[6,4,3,2,8,1,7,5]=>[5,7,1,8,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[3,5,4,2,7,1,8,6]=>[6,4,3,2,8,1,7,5]=>[5,7,1,8,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[8,6,4,1,3,5,2,7]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,7,4,1,5,3,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,5,4,1,2,6,8,3]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[1,7,4,2,3,6,8,5]=>[1,8,5,4,3,6,7,2]=>[2,7,6,3,4,5,8,1]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[1,8,2,5,3,7,6,4]=>[1,8,3,7,5,6,4,2]=>[2,4,6,5,7,3,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[6,8,1,5,4,7,3,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,2,1,5,6,4,3,7]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[3,8,1,5,6,4,2,7]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[6,8,4,1,2,5,3,7]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[3,2,8,1,6,5,4,7]=>[4,2,8,1,7,6,5,3]=>[3,5,6,7,1,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[3,2,6,1,5,7,8,4]=>[4,2,8,1,5,6,7,3]=>[3,7,6,5,1,8,2,4]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]
[7,6,4,1,5,2,8,3]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,6,1,5,4,7,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,2,1,4,6,7,8,3]=>[8,3,2,4,5,6,7,1]=>[1,7,6,5,4,2,3,8]=>[.,[[[[[.,[.,.]],.],.],.],[.,.]]]
[8,4,1,5,3,7,2,6]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[7,5,4,1,3,2,8,6]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,1,4,3,5,2,8,6]=>[8,2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[8,1,3,5,4,7,2,6]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[3,1,8,2,5,7,4,6]=>[4,2,8,1,7,6,5,3]=>[3,5,6,7,1,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[8,3,2,6,1,4,7,5]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[2,8,1,6,4,3,7,5]=>[3,8,1,7,6,5,4,2]=>[2,4,5,6,7,1,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[2,5,7,1,3,8,6,4]=>[4,8,7,1,5,6,3,2]=>[2,3,6,5,1,7,8,4]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[2,6,8,1,5,7,4,3]=>[4,8,7,1,6,5,3,2]=>[2,3,5,6,1,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[2,7,1,5,8,4,6,3]=>[3,8,1,7,6,5,4,2]=>[2,4,5,6,7,1,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[2,7,1,6,4,8,3,5]=>[3,8,1,7,5,6,4,2]=>[2,4,6,5,7,1,8,3]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[2,7,1,6,5,3,8,4]=>[3,8,1,6,5,4,7,2]=>[2,7,4,5,6,1,8,3]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[2,8,1,7,6,5,4,3]=>[3,8,1,7,6,5,4,2]=>[2,4,5,6,7,1,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[8,3,2,7,1,6,5,4]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[4,1,8,7,3,2,6,5]=>[6,2,8,7,5,1,4,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[4,1,7,2,8,6,5,3]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[3,7,1,8,6,5,4,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,7,6,1,4,2,5,8]=>[6,7,5,4,3,1,2,8]=>[8,2,1,3,4,5,7,6]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[3,7,5,1,4,6,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,6,8,5,1,4,7,2]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[7,3,5,8,2,1,4,6]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[7,3,6,2,1,4,5,8]=>[7,5,6,4,2,3,1,8]=>[8,1,3,2,4,6,5,7]=>[[.,[[.,.],[.,[[.,.],[.,.]]]]],.]
[7,3,6,2,1,5,4,8]=>[7,5,6,4,2,3,1,8]=>[8,1,3,2,4,6,5,7]=>[[.,[[.,.],[.,[[.,.],[.,.]]]]],.]
[7,4,2,8,1,6,5,3]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[8,7,5,3,2,1,6,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,5,2,6,3,1,4,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,4,6,2,1,8,3,5]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,8,4,5,2,1,7,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,6,8,5,1,7,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,7,5,1,3,8,6,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,7,6,1,5,3,2,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,1,7,6,3,8,2,4]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[5,1,7,6,4,2,8,3]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[5,1,8,7,6,4,3,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,5,2,1,7,6,4,3]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[8,5,2,1,6,3,7,4]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[5,1,8,6,3,2,7,4]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,6,1,7,4,8,2,5]=>[7,8,3,5,4,6,1,2]=>[2,1,6,4,5,3,8,7]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[4,1,8,6,3,7,2,5]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[8,4,2,5,7,3,1,6]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,4,6,8,5,7,1,2]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[5,4,8,2,7,3,6,1]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[5,4,8,7,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,4,7,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,4,3,8,7,1,2,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,3,7,2,4,8,1,5]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,6,8,4,2,7,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,7,4,2,8,1,3,6]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[6,5,2,7,1,3,8,4]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,6,5,4,2,1,7,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,4,7,3,1,8,2,5]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,7,4,3,8,6,1,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,5,8,4,6,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,4,8,3,5,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,5,3,8,2,4,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,5,4,3,2,1,9,8,7]=>[6,5,4,3,2,1,9,8,7]=>[7,8,9,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]]
[6,5,4,3,2,1,8,7,9]=>[6,5,4,3,2,1,8,7,9]=>[9,7,8,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]],.]
[5,4,3,2,1,9,8,7,6]=>[5,4,3,2,1,9,8,7,6]=>[6,7,8,9,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,.]]]]
[5,4,3,2,1,8,7,6,9]=>[5,4,3,2,1,8,7,6,9]=>[9,6,7,8,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]],.]
[3,2,1,5,4,7,6,9,8]=>[3,2,1,5,4,7,6,9,8]=>[8,9,6,7,4,5,1,2,3]=>[[[[.,[.,[.,.]]],[.,.]],[.,.]],[.,.]]
[2,1,4,3,6,5,7,8,9]=>[2,1,4,3,6,5,7,8,9]=>[9,8,7,5,6,3,4,1,2]=>[[[[[[.,[.,.]],[.,.]],[.,.]],.],.],.]
[2,1,4,3,5,6,7,8,9]=>[2,1,4,3,5,6,7,8,9]=>[9,8,7,6,5,3,4,1,2]=>[[[[[[[.,[.,.]],[.,.]],.],.],.],.],.]
[7,6,5,4,3,2,1,10,9,8]=>[7,6,5,4,3,2,1,10,9,8]=>[8,9,10,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,[.,.]]]
[6,5,4,3,2,1,9,8,7,10]=>[6,5,4,3,2,1,9,8,7,10]=>[10,7,8,9,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]],.]
[5,4,3,2,1,9,8,7,6,10]=>[5,4,3,2,1,9,8,7,6,10]=>[10,6,7,8,9,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,.]]]],.]
[5,4,3,2,1,8,7,6,10,9]=>[5,4,3,2,1,8,7,6,10,9]=>[9,10,6,7,8,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]],[.,.]]
[4,3,2,1,7,6,5,10,9,8]=>[4,3,2,1,7,6,5,10,9,8]=>[8,9,10,5,6,7,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],[.,[.,.]]]
[3,2,1,5,4,7,6,9,8,10]=>[3,2,1,5,4,7,6,9,8,10]=>[10,8,9,6,7,4,5,1,2,3]=>[[[[[.,[.,[.,.]]],[.,.]],[.,.]],[.,.]],.]
[2,1,4,3,6,5,8,7,9,10]=>[2,1,4,3,6,5,8,7,9,10]=>[10,9,7,8,5,6,3,4,1,2]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.],.]
[2,1,4,3,6,5,7,8,9,10]=>[2,1,4,3,6,5,7,8,9,10]=>[10,9,8,7,5,6,3,4,1,2]=>[[[[[[[.,[.,.]],[.,.]],[.,.]],.],.],.],.]
[2,1,4,3,5,6,7,8,9,10]=>[2,1,4,3,5,6,7,8,9,10]=>[10,9,8,7,6,5,3,4,1,2]=>[[[[[[[[.,[.,.]],[.,.]],.],.],.],.],.],.]
[5,6,3,7,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,6,3,8,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,4,8,6,3,1,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,2,7,6,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[3,7,2,4,6,5,1,8]=>[7,6,3,4,5,2,1,8]=>[8,1,2,5,4,3,6,7]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[8,1,3,4,5,2,6,7]=>[8,2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[1,6,8,4,2,5,3,7]=>[1,7,8,6,5,4,2,3]=>[3,2,4,5,6,8,7,1]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[6,2,8,4,1,5,7,3]=>[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[6,7,4,8,5,1,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,2,7,8,5,1,6,4]=>[6,2,8,7,5,1,4,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[6,1,4,8,5,3,7,2]=>[8,2,6,7,5,3,4,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[1,4,8,5,2,6,7,3]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[6,1,8,4,3,7,2,5]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,7,1,4,2,5,8,6]=>[5,8,3,4,1,6,7,2]=>[2,7,6,1,4,3,8,5]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]
[7,2,1,4,3,5,6,8]=>[7,3,2,5,4,6,1,8]=>[8,1,6,4,5,2,3,7]=>[[.,[[[.,[.,.]],[.,.]],[.,.]]],.]
[6,1,8,5,3,2,7,4]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,1,4,6,3,8,5,2]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[3,2,6,4,1,8,7,5]=>[5,2,8,4,1,7,6,3]=>[3,6,7,1,4,8,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[7,6,4,3,1,8,2,5]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,5,2,1,8,7,6,4]=>[4,8,3,1,7,6,5,2]=>[2,5,6,7,1,3,8,4]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[1,5,3,2,8,6,4,7]=>[1,7,4,3,8,6,2,5]=>[5,2,6,8,3,4,7,1]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]
[5,4,2,1,7,8,6,3]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[8,2,7,6,5,1,3,4]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[8,6,2,7,1,4,5,3]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[1,7,3,6,2,8,5,4]=>[1,8,5,7,3,6,4,2]=>[2,4,6,3,7,5,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[7,6,3,2,1,8,5,4]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,6,3,7,4,1,2,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,2,3,4,7,1,8,6]=>[6,4,3,2,8,1,7,5]=>[5,7,1,8,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[8,6,3,1,4,5,7,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,7,3,1,5,4,2,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,8,3,1,2,4,7,6]=>[6,8,5,4,3,1,7,2]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[8,4,1,7,2,3,6,5]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[8,2,1,6,5,4,7,3]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[3,8,1,5,6,4,7,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,8,4,1,2,5,7,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,2,8,1,6,5,7,4]=>[4,2,8,1,7,6,5,3]=>[3,5,6,7,1,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[7,6,4,1,5,2,3,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,6,1,5,4,7,3,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,5,1,4,6,7,2,8]=>[7,4,3,2,5,6,1,8]=>[8,1,6,5,2,3,4,7]=>[[.,[[[.,[.,[.,.]]],.],[.,.]]],.]
[5,2,1,4,7,6,3,8]=>[7,3,2,4,6,5,1,8]=>[8,1,5,6,4,2,3,7]=>[[.,[[[.,[.,.]],.],[.,[.,.]]]],.]
[4,5,8,2,1,3,7,6]=>[6,5,8,4,2,1,7,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[5,8,2,3,1,4,6,7]=>[6,8,5,4,3,1,7,2]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[4,2,1,3,5,8,7,6]=>[4,3,2,1,5,8,7,6]=>[6,7,8,5,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]]
[8,5,4,1,3,6,2,7]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,2,5,1,4,6,8,7]=>[4,2,5,1,3,6,8,7]=>[7,8,6,3,1,5,2,4]=>[[[[.,[.,.]],[[.,.],.]],.],[.,.]]
[8,1,4,3,5,6,7,2]=>[8,2,7,4,5,6,3,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[4,1,3,2,5,7,6,8]=>[4,2,3,1,5,7,6,8]=>[8,6,7,5,1,3,2,4]=>[[[[.,[[.,.],[.,.]]],.],[.,.]],.]
[3,1,2,5,4,7,6,9,8]=>[3,2,1,5,4,7,6,9,8]=>[8,9,6,7,4,5,1,2,3]=>[[[[.,[.,[.,.]]],[.,.]],[.,.]],[.,.]]
[3,1,6,2,7,4,8,5,9]=>[4,2,8,1,6,5,7,3,9]=>[9,3,7,5,6,1,8,2,4]=>[[[.,[.,.]],[[[.,.],[.,.]],[.,.]]],.]
[3,1,2,5,4,7,6,9,8,10]=>[3,2,1,5,4,7,6,9,8,10]=>[10,8,9,6,7,4,5,1,2,3]=>[[[[[.,[.,[.,.]]],[.,.]],[.,.]],[.,.]],.]
[6,8,2,4,5,1,3,7]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[3,6,7,2,5,1,4,8]=>[6,7,5,4,3,1,2,8]=>[8,2,1,3,4,5,7,6]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[4,6,7,3,1,5,2,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,8,1,2,4,7,3,6]=>[7,8,3,4,5,6,1,2]=>[2,1,6,5,4,3,8,7]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]
[6,8,1,3,5,2,7,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,8,3,1,4,5,7,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,5,1,8,2,3,6,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,1,8,2,3,4,7,5]=>[8,2,7,4,5,6,3,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[5,3,8,4,2,6,7,1]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[5,1,8,4,6,3,7,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,1,8,3,5,7,2,6]=>[7,2,8,4,5,6,1,3]=>[3,1,6,5,4,8,2,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[3,4,7,2,6,1,8,5]=>[6,4,8,2,5,1,7,3]=>[3,7,1,5,2,8,4,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[4,5,7,3,2,6,8,1]=>[8,5,6,4,2,3,7,1]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[4,5,7,2,3,6,8,1]=>[8,5,6,4,2,3,7,1]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[2,6,3,4,7,5,8,1]=>[8,6,3,4,5,2,7,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[3,6,4,2,7,5,8,1]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[4,5,2,7,1,6,8,3]=>[8,5,3,6,2,4,7,1]=>[1,7,4,2,6,3,5,8]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[3,4,1,6,5,8,2,7]=>[7,3,2,5,4,8,1,6]=>[6,1,8,4,5,2,3,7]=>[[.,[[.,[.,.]],[.,.]]],[[.,.],.]]
[4,1,2,8,5,7,3,6]=>[7,2,3,8,5,6,1,4]=>[4,1,6,5,8,3,2,7]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[5,1,4,8,6,2,7,3]=>[8,2,6,7,5,3,4,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[7,3,1,4,8,5,6,2]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[5,6,3,1,7,4,2,8]=>[7,6,4,3,5,2,1,8]=>[8,1,2,5,3,4,6,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[7,3,4,1,8,5,2,6]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[6,4,2,8,7,1,5,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,2,4,8,1,5,3,6]=>[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[7,1,3,8,5,2,4,6]=>[8,2,6,7,5,3,4,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[3,2,6,7,1,8,4,5]=>[5,2,8,7,1,6,4,3]=>[3,4,6,1,7,8,2,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[4,6,3,1,7,8,5,2]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[5,3,1,6,7,8,4,2]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[4,1,6,2,7,8,5,3]=>[8,2,7,4,5,6,3,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[2,1,3,4,8,7,5,6]=>[2,1,3,4,8,7,6,5]=>[5,6,7,8,4,3,1,2]=>[[[[.,[.,.]],.],.],[.,[.,[.,.]]]]
[5,6,7,8,9,1,2,3,4]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[5,6,7,8,9,2,3,4,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[5,6,7,8,9,3,4,1,2]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[5,6,7,8,9,3,4,2,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[6,7,8,9,2,3,4,5,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[6,7,8,9,3,4,5,1,2]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[6,7,8,9,3,4,5,2,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[6,7,8,9,4,5,2,3,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[6,7,8,9,4,5,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[7,8,9,4,5,6,2,3,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[7,8,9,4,5,6,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[7,8,9,5,6,3,4,1,2]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[7,8,9,5,6,3,4,2,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[7,8,9,5,6,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[8,9,6,7,4,5,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[8,9,6,7,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[5,6,7,8,9,10,1,2,3,4]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[5,6,7,8,9,10,2,3,4,1]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[5,6,7,8,9,10,3,4,1,2]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[5,6,7,8,9,10,3,4,2,1]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[7,8,9,10,3,4,5,6,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[7,8,9,10,3,4,5,6,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[7,8,9,10,4,5,6,1,2,3]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[7,8,9,10,4,5,6,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[7,8,9,10,5,6,3,4,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[7,8,9,10,5,6,3,4,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[7,8,9,10,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,9,10,5,6,7,2,3,4,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,9,10,5,6,7,3,4,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,9,10,5,6,7,3,4,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,9,10,5,6,7,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,9,10,6,7,4,5,2,3,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,9,10,6,7,4,5,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,9,10,6,7,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,10,7,8,5,6,3,4,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,10,7,8,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,10,7,8,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[4,8,3,7,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,3,8,7,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,3,8,7,6,4,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,8,7,6,1,5,4,3]=>[5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[5,2,8,7,6,1,4,3]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[6,2,8,7,5,1,4,3]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[7,8,2,6,5,1,4,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,1,8,7,5,4,3,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,1,8,7,6,5,4,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,8,2,6,1,5,4,3]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[6,2,8,7,1,5,4,3]=>[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[4,2,8,1,7,6,5,3]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[4,8,2,7,6,1,5,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,8,7,2,1,6,5,4]=>[5,8,7,4,1,6,3,2]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[6,5,8,7,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,1,7,6,5,3,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,4,1,8,7,6,3,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,4,8,1,7,5,3,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,8,4,1,6,5,3,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,8,3,1,6,5,4,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,3,8,1,7,5,4,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,3,1,8,7,6,4,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,8,2,1,6,5,4,3]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[6,5,3,1,8,7,4,2]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[6,4,3,1,8,7,5,2]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[5,4,3,1,8,7,6,2]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[7,5,2,1,8,6,4,3]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[5,4,2,1,8,7,6,3]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[7,3,2,1,8,6,5,4]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[6,3,2,1,8,7,5,4]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[9,7,5,3,1,10,8,6,4,2]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[8,7,5,3,1,10,9,6,4,2]=>[10,9,8,5,4,7,6,3,2,1]=>[1,2,3,6,7,4,5,8,9,10]=>[.,[.,[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]]]
[9,6,5,3,1,10,8,7,4,2]=>[10,9,8,5,4,7,6,3,2,1]=>[1,2,3,6,7,4,5,8,9,10]=>[.,[.,[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]]]
[8,6,5,3,1,10,9,7,4,2]=>[10,9,8,5,4,7,6,3,2,1]=>[1,2,3,6,7,4,5,8,9,10]=>[.,[.,[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]]]
[9,7,4,3,1,10,8,6,5,2]=>[10,9,8,5,4,7,6,3,2,1]=>[1,2,3,6,7,4,5,8,9,10]=>[.,[.,[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]]]
[8,7,4,3,1,10,9,6,5,2]=>[10,9,8,5,4,7,6,3,2,1]=>[1,2,3,6,7,4,5,8,9,10]=>[.,[.,[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]]]
[9,6,4,3,1,10,8,7,5,2]=>[10,9,8,5,4,7,6,3,2,1]=>[1,2,3,6,7,4,5,8,9,10]=>[.,[.,[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]]]
[8,6,4,3,1,10,9,7,5,2]=>[10,9,8,5,4,7,6,3,2,1]=>[1,2,3,6,7,4,5,8,9,10]=>[.,[.,[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]]]
[6,5,4,3,1,10,9,8,7,2]=>[10,5,4,3,2,9,8,7,6,1]=>[1,6,7,8,9,2,3,4,5,10]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]]]
[9,7,5,2,1,10,8,6,4,3]=>[10,9,8,5,4,7,6,3,2,1]=>[1,2,3,6,7,4,5,8,9,10]=>[.,[.,[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]]]
[8,7,5,2,1,10,9,6,4,3]=>[10,9,8,5,4,7,6,3,2,1]=>[1,2,3,6,7,4,5,8,9,10]=>[.,[.,[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]]]
[9,6,5,2,1,10,8,7,4,3]=>[10,9,8,5,4,7,6,3,2,1]=>[1,2,3,6,7,4,5,8,9,10]=>[.,[.,[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]]]
[8,6,5,2,1,10,9,7,4,3]=>[10,9,8,5,4,7,6,3,2,1]=>[1,2,3,6,7,4,5,8,9,10]=>[.,[.,[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]]]
[9,7,4,2,1,10,8,6,5,3]=>[10,9,8,5,4,7,6,3,2,1]=>[1,2,3,6,7,4,5,8,9,10]=>[.,[.,[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]]]
[8,7,4,2,1,10,9,6,5,3]=>[10,9,8,5,4,7,6,3,2,1]=>[1,2,3,6,7,4,5,8,9,10]=>[.,[.,[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]]]
[9,6,4,2,1,10,8,7,5,3]=>[10,9,8,5,4,7,6,3,2,1]=>[1,2,3,6,7,4,5,8,9,10]=>[.,[.,[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]]]
[8,6,4,2,1,10,9,7,5,3]=>[10,9,8,5,4,7,6,3,2,1]=>[1,2,3,6,7,4,5,8,9,10]=>[.,[.,[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]]]
[6,5,4,2,1,10,9,8,7,3]=>[10,5,4,3,2,9,8,7,6,1]=>[1,6,7,8,9,2,3,4,5,10]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]]]
[6,5,3,2,1,10,9,8,7,4]=>[10,5,4,3,2,9,8,7,6,1]=>[1,6,7,8,9,2,3,4,5,10]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]]]
[9,4,3,2,1,10,8,7,6,5]=>[10,5,4,3,2,9,8,7,6,1]=>[1,6,7,8,9,2,3,4,5,10]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]]]
[8,4,3,2,1,10,9,7,6,5]=>[10,5,4,3,2,9,8,7,6,1]=>[1,6,7,8,9,2,3,4,5,10]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]]]
[7,4,3,2,1,10,9,8,6,5]=>[10,5,4,3,2,9,8,7,6,1]=>[1,6,7,8,9,2,3,4,5,10]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]]]
[6,4,3,2,1,10,9,8,7,5]=>[10,5,4,3,2,9,8,7,6,1]=>[1,6,7,8,9,2,3,4,5,10]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]]]
[10,9,7,5,3,1,12,11,8,6,4,2]=>[12,11,10,9,6,5,8,7,4,3,2,1]=>[1,2,3,4,7,8,5,6,9,10,11,12]=>[.,[.,[.,[.,[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]]]]]
[11,8,7,5,3,1,12,10,9,6,4,2]=>[12,11,10,9,6,5,8,7,4,3,2,1]=>[1,2,3,4,7,8,5,6,9,10,11,12]=>[.,[.,[.,[.,[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,8,7,5,3,1,12,11,9,6,4,2]=>[12,11,10,9,6,5,8,7,4,3,2,1]=>[1,2,3,4,7,8,5,6,9,10,11,12]=>[.,[.,[.,[.,[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]]]]]
[11,9,6,5,3,1,12,10,8,7,4,2]=>[12,11,10,9,6,5,8,7,4,3,2,1]=>[1,2,3,4,7,8,5,6,9,10,11,12]=>[.,[.,[.,[.,[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,6,5,3,1,12,11,8,7,4,2]=>[12,11,10,9,6,5,8,7,4,3,2,1]=>[1,2,3,4,7,8,5,6,9,10,11,12]=>[.,[.,[.,[.,[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]]]]]
[11,8,6,5,3,1,12,10,9,7,4,2]=>[12,11,10,9,6,5,8,7,4,3,2,1]=>[1,2,3,4,7,8,5,6,9,10,11,12]=>[.,[.,[.,[.,[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,8,6,5,3,1,12,11,9,7,4,2]=>[12,11,10,9,6,5,8,7,4,3,2,1]=>[1,2,3,4,7,8,5,6,9,10,11,12]=>[.,[.,[.,[.,[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,7,6,5,3,1,12,11,10,9,4,2]=>[12,11,6,5,4,3,10,9,8,7,2,1]=>[1,2,7,8,9,10,3,4,5,6,11,12]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]]]]
[11,9,7,4,3,1,12,10,8,6,5,2]=>[12,11,10,9,6,5,8,7,4,3,2,1]=>[1,2,3,4,7,8,5,6,9,10,11,12]=>[.,[.,[.,[.,[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,7,4,3,1,12,11,8,6,5,2]=>[12,11,10,9,6,5,8,7,4,3,2,1]=>[1,2,3,4,7,8,5,6,9,10,11,12]=>[.,[.,[.,[.,[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]]]]]
[11,8,7,4,3,1,12,10,9,6,5,2]=>[12,11,10,9,6,5,8,7,4,3,2,1]=>[1,2,3,4,7,8,5,6,9,10,11,12]=>[.,[.,[.,[.,[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,8,7,4,3,1,12,11,9,6,5,2]=>[12,11,10,9,6,5,8,7,4,3,2,1]=>[1,2,3,4,7,8,5,6,9,10,11,12]=>[.,[.,[.,[.,[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]]]]]
[11,9,6,4,3,1,12,10,8,7,5,2]=>[12,11,10,9,6,5,8,7,4,3,2,1]=>[1,2,3,4,7,8,5,6,9,10,11,12]=>[.,[.,[.,[.,[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,6,4,3,1,12,11,8,7,5,2]=>[12,11,10,9,6,5,8,7,4,3,2,1]=>[1,2,3,4,7,8,5,6,9,10,11,12]=>[.,[.,[.,[.,[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]]]]]
[11,8,6,4,3,1,12,10,9,7,5,2]=>[12,11,10,9,6,5,8,7,4,3,2,1]=>[1,2,3,4,7,8,5,6,9,10,11,12]=>[.,[.,[.,[.,[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,8,6,4,3,1,12,11,9,7,5,2]=>[12,11,10,9,6,5,8,7,4,3,2,1]=>[1,2,3,4,7,8,5,6,9,10,11,12]=>[.,[.,[.,[.,[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,7,6,4,3,1,12,11,10,9,5,2]=>[12,11,6,5,4,3,10,9,8,7,2,1]=>[1,2,7,8,9,10,3,4,5,6,11,12]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,5,4,3,1,12,11,10,9,6,2]=>[12,11,6,5,4,3,10,9,8,7,2,1]=>[1,2,7,8,9,10,3,4,5,6,11,12]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]]]]
[11,6,5,4,3,1,12,10,9,8,7,2]=>[12,11,6,5,4,3,10,9,8,7,2,1]=>[1,2,7,8,9,10,3,4,5,6,11,12]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]]]]
[10,6,5,4,3,1,12,11,9,8,7,2]=>[12,11,6,5,4,3,10,9,8,7,2,1]=>[1,2,7,8,9,10,3,4,5,6,11,12]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]]]]
[9,6,5,4,3,1,12,11,10,8,7,2]=>[12,11,6,5,4,3,10,9,8,7,2,1]=>[1,2,7,8,9,10,3,4,5,6,11,12]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,5,4,3,1,12,11,10,9,7,2]=>[12,11,6,5,4,3,10,9,8,7,2,1]=>[1,2,7,8,9,10,3,4,5,6,11,12]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]]]]
[11,9,7,5,2,1,12,10,8,6,4,3]=>[12,11,10,9,6,5,8,7,4,3,2,1]=>[1,2,3,4,7,8,5,6,9,10,11,12]=>[.,[.,[.,[.,[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,7,5,2,1,12,11,8,6,4,3]=>[12,11,10,9,6,5,8,7,4,3,2,1]=>[1,2,3,4,7,8,5,6,9,10,11,12]=>[.,[.,[.,[.,[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]]]]]
[11,8,7,5,2,1,12,10,9,6,4,3]=>[12,11,10,9,6,5,8,7,4,3,2,1]=>[1,2,3,4,7,8,5,6,9,10,11,12]=>[.,[.,[.,[.,[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,8,7,5,2,1,12,11,9,6,4,3]=>[12,11,10,9,6,5,8,7,4,3,2,1]=>[1,2,3,4,7,8,5,6,9,10,11,12]=>[.,[.,[.,[.,[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]]]]]
[11,9,6,5,2,1,12,10,8,7,4,3]=>[12,11,10,9,6,5,8,7,4,3,2,1]=>[1,2,3,4,7,8,5,6,9,10,11,12]=>[.,[.,[.,[.,[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,6,5,2,1,12,11,8,7,4,3]=>[12,11,10,9,6,5,8,7,4,3,2,1]=>[1,2,3,4,7,8,5,6,9,10,11,12]=>[.,[.,[.,[.,[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]]]]]
[11,8,6,5,2,1,12,10,9,7,4,3]=>[12,11,10,9,6,5,8,7,4,3,2,1]=>[1,2,3,4,7,8,5,6,9,10,11,12]=>[.,[.,[.,[.,[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,8,6,5,2,1,12,11,9,7,4,3]=>[12,11,10,9,6,5,8,7,4,3,2,1]=>[1,2,3,4,7,8,5,6,9,10,11,12]=>[.,[.,[.,[.,[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,7,6,5,2,1,12,11,10,9,4,3]=>[12,11,6,5,4,3,10,9,8,7,2,1]=>[1,2,7,8,9,10,3,4,5,6,11,12]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]]]]
[11,9,7,4,2,1,12,10,8,6,5,3]=>[12,11,10,9,6,5,8,7,4,3,2,1]=>[1,2,3,4,7,8,5,6,9,10,11,12]=>[.,[.,[.,[.,[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,7,4,2,1,12,11,8,6,5,3]=>[12,11,10,9,6,5,8,7,4,3,2,1]=>[1,2,3,4,7,8,5,6,9,10,11,12]=>[.,[.,[.,[.,[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]]]]]
[11,8,7,4,2,1,12,10,9,6,5,3]=>[12,11,10,9,6,5,8,7,4,3,2,1]=>[1,2,3,4,7,8,5,6,9,10,11,12]=>[.,[.,[.,[.,[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,8,7,4,2,1,12,11,9,6,5,3]=>[12,11,10,9,6,5,8,7,4,3,2,1]=>[1,2,3,4,7,8,5,6,9,10,11,12]=>[.,[.,[.,[.,[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]]]]]
[11,9,6,4,2,1,12,10,8,7,5,3]=>[12,11,10,9,6,5,8,7,4,3,2,1]=>[1,2,3,4,7,8,5,6,9,10,11,12]=>[.,[.,[.,[.,[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,6,4,2,1,12,11,8,7,5,3]=>[12,11,10,9,6,5,8,7,4,3,2,1]=>[1,2,3,4,7,8,5,6,9,10,11,12]=>[.,[.,[.,[.,[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]]]]]
[11,8,6,4,2,1,12,10,9,7,5,3]=>[12,11,10,9,6,5,8,7,4,3,2,1]=>[1,2,3,4,7,8,5,6,9,10,11,12]=>[.,[.,[.,[.,[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,8,6,4,2,1,12,11,9,7,5,3]=>[12,11,10,9,6,5,8,7,4,3,2,1]=>[1,2,3,4,7,8,5,6,9,10,11,12]=>[.,[.,[.,[.,[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,7,6,4,2,1,12,11,10,9,5,3]=>[12,11,6,5,4,3,10,9,8,7,2,1]=>[1,2,7,8,9,10,3,4,5,6,11,12]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,5,4,2,1,12,11,10,9,6,3]=>[12,11,6,5,4,3,10,9,8,7,2,1]=>[1,2,7,8,9,10,3,4,5,6,11,12]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]]]]
[11,6,5,4,2,1,12,10,9,8,7,3]=>[12,11,6,5,4,3,10,9,8,7,2,1]=>[1,2,7,8,9,10,3,4,5,6,11,12]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]]]]
[10,6,5,4,2,1,12,11,9,8,7,3]=>[12,11,6,5,4,3,10,9,8,7,2,1]=>[1,2,7,8,9,10,3,4,5,6,11,12]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]]]]
[9,6,5,4,2,1,12,11,10,8,7,3]=>[12,11,6,5,4,3,10,9,8,7,2,1]=>[1,2,7,8,9,10,3,4,5,6,11,12]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,5,4,2,1,12,11,10,9,7,3]=>[12,11,6,5,4,3,10,9,8,7,2,1]=>[1,2,7,8,9,10,3,4,5,6,11,12]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,6,3,2,1,12,11,10,9,5,4]=>[12,11,6,5,4,3,10,9,8,7,2,1]=>[1,2,7,8,9,10,3,4,5,6,11,12]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,5,3,2,1,12,11,10,9,6,4]=>[12,11,6,5,4,3,10,9,8,7,2,1]=>[1,2,7,8,9,10,3,4,5,6,11,12]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]]]]
[11,6,5,3,2,1,12,10,9,8,7,4]=>[12,11,6,5,4,3,10,9,8,7,2,1]=>[1,2,7,8,9,10,3,4,5,6,11,12]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]]]]
[10,6,5,3,2,1,12,11,9,8,7,4]=>[12,11,6,5,4,3,10,9,8,7,2,1]=>[1,2,7,8,9,10,3,4,5,6,11,12]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]]]]
[9,6,5,3,2,1,12,11,10,8,7,4]=>[12,11,6,5,4,3,10,9,8,7,2,1]=>[1,2,7,8,9,10,3,4,5,6,11,12]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,5,3,2,1,12,11,10,9,7,4]=>[12,11,6,5,4,3,10,9,8,7,2,1]=>[1,2,7,8,9,10,3,4,5,6,11,12]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]]]]
[11,9,4,3,2,1,12,10,8,7,6,5]=>[12,11,6,5,4,3,10,9,8,7,2,1]=>[1,2,7,8,9,10,3,4,5,6,11,12]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]]]]
[10,9,4,3,2,1,12,11,8,7,6,5]=>[12,11,6,5,4,3,10,9,8,7,2,1]=>[1,2,7,8,9,10,3,4,5,6,11,12]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]]]]
[11,8,4,3,2,1,12,10,9,7,6,5]=>[12,11,6,5,4,3,10,9,8,7,2,1]=>[1,2,7,8,9,10,3,4,5,6,11,12]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]]]]
[10,8,4,3,2,1,12,11,9,7,6,5]=>[12,11,6,5,4,3,10,9,8,7,2,1]=>[1,2,7,8,9,10,3,4,5,6,11,12]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]]]]
[9,8,4,3,2,1,12,11,10,7,6,5]=>[12,11,6,5,4,3,10,9,8,7,2,1]=>[1,2,7,8,9,10,3,4,5,6,11,12]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]]]]
[11,7,4,3,2,1,12,10,9,8,6,5]=>[12,11,6,5,4,3,10,9,8,7,2,1]=>[1,2,7,8,9,10,3,4,5,6,11,12]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]]]]
[10,7,4,3,2,1,12,11,9,8,6,5]=>[12,11,6,5,4,3,10,9,8,7,2,1]=>[1,2,7,8,9,10,3,4,5,6,11,12]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]]]]
[9,7,4,3,2,1,12,11,10,8,6,5]=>[12,11,6,5,4,3,10,9,8,7,2,1]=>[1,2,7,8,9,10,3,4,5,6,11,12]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,4,3,2,1,12,11,10,9,6,5]=>[12,11,6,5,4,3,10,9,8,7,2,1]=>[1,2,7,8,9,10,3,4,5,6,11,12]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]]]]
[11,6,4,3,2,1,12,10,9,8,7,5]=>[12,11,6,5,4,3,10,9,8,7,2,1]=>[1,2,7,8,9,10,3,4,5,6,11,12]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]]]]
[10,6,4,3,2,1,12,11,9,8,7,5]=>[12,11,6,5,4,3,10,9,8,7,2,1]=>[1,2,7,8,9,10,3,4,5,6,11,12]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]]]]
[9,6,4,3,2,1,12,11,10,8,7,5]=>[12,11,6,5,4,3,10,9,8,7,2,1]=>[1,2,7,8,9,10,3,4,5,6,11,12]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,4,3,2,1,12,11,10,9,7,5]=>[12,11,6,5,4,3,10,9,8,7,2,1]=>[1,2,7,8,9,10,3,4,5,6,11,12]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]]]]
[6,1,4,2,3,5,8,7]=>[6,2,5,4,3,1,8,7]=>[7,8,1,3,4,5,2,6]=>[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]
[8,6,1,4,2,3,5,7]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,8,1,4,2,3,5,7]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[4,1,8,2,3,6,5,7]=>[5,2,8,4,1,7,6,3]=>[3,6,7,1,4,8,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[8,2,3,6,1,4,5,7]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[6,2,3,8,1,4,5,7]=>[7,5,3,8,2,6,1,4]=>[4,1,6,2,8,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[4,6,2,3,8,1,5,7]=>[6,7,4,3,8,1,2,5]=>[5,2,1,8,3,4,7,6]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]
[4,8,2,3,6,1,5,7]=>[6,8,4,3,7,1,5,2]=>[2,5,1,7,3,4,8,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[8,2,3,6,4,1,5,7]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[8,4,3,6,2,1,5,7]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[6,2,3,8,4,1,5,7]=>[7,6,3,8,5,2,1,4]=>[4,1,2,5,8,3,6,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[8,4,2,3,6,1,5,7]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[6,4,2,3,8,1,5,7]=>[7,6,4,3,8,2,1,5]=>[5,1,2,8,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[2,6,4,3,8,1,5,7]=>[6,7,4,3,8,1,2,5]=>[5,2,1,8,3,4,7,6]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]
[2,8,4,3,6,1,5,7]=>[6,8,4,3,7,1,5,2]=>[2,5,1,7,3,4,8,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[2,6,3,8,4,1,5,7]=>[6,7,3,8,5,1,2,4]=>[4,2,1,5,8,3,7,6]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]
[6,3,8,4,2,1,5,7]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[2,6,3,8,1,4,5,7]=>[5,7,3,8,1,6,2,4]=>[4,2,6,1,8,3,7,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[2,8,3,6,1,4,5,7]=>[5,8,3,7,1,6,4,2]=>[2,4,6,1,7,3,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[8,3,6,4,2,1,5,7]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[2,8,3,6,4,1,5,7]=>[6,8,3,7,5,1,4,2]=>[2,4,1,5,7,3,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[8,3,6,2,4,1,5,7]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[8,3,6,2,1,4,5,7]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[6,2,1,3,8,4,5,7]=>[7,3,2,4,8,6,1,5]=>[5,1,6,8,4,2,3,7]=>[[.,[[.,[.,.]],.]],[.,[[.,.],.]]]
[8,2,1,3,6,4,5,7]=>[8,3,2,4,7,6,5,1]=>[1,5,6,7,4,2,3,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[6,2,4,3,8,1,5,7]=>[7,6,4,3,8,2,1,5]=>[5,1,2,8,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[3,6,4,7,8,5,1,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,6,4,2,7,5,8,3]=>[1,8,6,4,5,3,7,2]=>[2,7,3,5,4,6,8,1]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[1,4,7,2,5,6,8,3]=>[1,8,6,4,5,3,7,2]=>[2,7,3,5,4,6,8,1]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[6,4,8,5,3,7,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,6,5,4,2,7,8,3]=>[1,8,5,4,3,6,7,2]=>[2,7,6,3,4,5,8,1]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[4,2,5,3,6,1,7,8]=>[6,4,3,2,5,1,7,8]=>[8,7,1,5,2,3,4,6]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[7,1,5,3,6,2,8,4]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[7,8,1,4,2,5,6,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,4,8,5,2,1,6,7]=>[6,5,8,4,2,1,7,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[4,8,5,3,1,6,2,7]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[6,1,3,5,8,2,7,4]=>[8,2,6,4,7,3,5,1]=>[1,5,3,7,4,6,2,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[6,1,8,7,4,2,3,5]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,2,8,5,7,3,6,4]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,3,6,8,7,5,2,4]=>[1,7,8,6,5,4,2,3]=>[3,2,4,5,6,8,7,1]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[1,8,2,5,4,7,6,3]=>[1,8,3,7,5,6,4,2]=>[2,4,6,5,7,3,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[7,1,2,4,5,8,6,3]=>[8,2,3,7,5,6,4,1]=>[1,4,6,5,7,3,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[1,2,7,3,5,8,6,4]=>[1,2,8,4,7,6,5,3]=>[3,5,6,7,4,8,2,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[4,6,2,1,7,5,3,8]=>[7,6,4,3,5,2,1,8]=>[8,1,2,5,3,4,6,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[1,6,3,7,8,5,2,4]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,6,2,3,7,8,1,5]=>[7,8,4,3,5,6,1,2]=>[2,1,6,5,3,4,8,7]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]
[4,6,3,7,1,2,8,5]=>[6,8,5,4,3,1,7,2]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[4,2,1,3,5,7,8,6]=>[4,3,2,1,5,8,7,6]=>[6,7,8,5,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]]
[7,3,2,4,5,1,8,6]=>[8,6,3,4,5,2,7,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[3,8,2,5,4,1,7,6]=>[6,8,3,5,4,1,7,2]=>[2,7,1,4,5,3,8,6]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[7,8,4,2,6,3,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,2,6,3,8,7,1,5]=>[7,4,8,2,6,5,1,3]=>[3,1,5,6,2,8,4,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[5,8,2,7,4,3,1,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[4,3,8,5,1,7,2,6]=>[7,5,8,4,2,6,1,3]=>[3,1,6,2,4,8,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[4,3,6,8,1,2,7,5]=>[6,5,8,7,2,1,4,3]=>[3,4,1,2,7,8,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]
[6,4,3,5,2,8,1,7]=>[7,5,4,3,2,8,1,6]=>[6,1,8,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[6,5,3,8,4,2,1,7]=>[7,6,5,8,3,2,1,4]=>[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[6,1,7,8,9,10,2,3,4,5]=>[10,2,9,8,7,6,5,4,3,1]=>[1,3,4,5,6,7,8,9,2,10]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[6,7,8,9,1,2,3,4,10,5]=>[10,8,7,6,5,4,3,2,9,1]=>[1,9,2,3,4,5,6,7,8,10]=>[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]]
[6,7,8,9,1,10,2,3,4,5]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[3,8,1,7,5,6,4,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,2,5,7,3,6,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,8,6,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,2,6,7,5,3,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,5,8,7,2,6,4,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,4,8,6,2,3,7,1]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[2,7,6,1,3,5,4,8]=>[4,7,6,1,5,3,2,8]=>[8,2,3,5,1,6,7,4]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[6,4,1,8,2,5,7,3]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[2,8,6,1,3,5,4,7]=>[4,8,7,1,5,6,3,2]=>[2,3,6,5,1,7,8,4]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[4,1,3,6,5,8,7,2]=>[8,2,3,5,4,7,6,1]=>[1,6,7,4,5,3,2,8]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[2,1,6,3,5,8,7,4]=>[2,1,8,4,5,7,6,3]=>[3,6,7,5,4,8,1,2]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]
[2,4,1,3,8,5,7,6]=>[3,4,1,2,8,6,7,5]=>[5,7,6,8,2,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]
[2,4,1,3,5,8,7,6]=>[3,4,1,2,5,8,7,6]=>[6,7,8,5,2,1,4,3]=>[[[[.,.],[[.,.],.]],.],[.,[.,.]]]
[4,2,1,3,6,5,7,8]=>[4,3,2,1,6,5,7,8]=>[8,7,5,6,1,2,3,4]=>[[[[.,[.,[.,[.,.]]]],[.,.]],.],.]
[4,2,1,6,3,5,7,8]=>[5,3,2,6,1,4,7,8]=>[8,7,4,1,6,2,3,5]=>[[[[.,[.,[.,.]]],[[.,.],.]],.],.]
[6,2,1,8,3,5,7,4]=>[8,3,2,7,5,6,4,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[6,2,1,3,8,5,7,4]=>[8,3,2,4,7,6,5,1]=>[1,5,6,7,4,2,3,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[6,1,4,3,8,5,7,2]=>[8,2,6,4,7,3,5,1]=>[1,5,3,7,4,6,2,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[8,1,4,3,6,5,7,2]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,4,1,3,6,5,7,2]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[8,2,1,3,6,5,7,4]=>[8,3,2,4,7,6,5,1]=>[1,5,6,7,4,2,3,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[8,2,1,6,3,5,7,4]=>[8,3,2,7,5,6,4,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[8,2,4,1,3,5,7,6]=>[8,4,5,2,3,6,7,1]=>[1,7,6,3,2,5,4,8]=>[.,[[[[.,.],[[.,.],.]],.],[.,.]]]
[8,2,6,1,3,5,7,4]=>[8,4,7,2,5,6,3,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[8,4,6,1,3,5,7,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,4,1,6,3,5,7,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,1,4,6,3,5,7,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,8,4,6,3,5,7,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,6,4,8,3,5,7,2]=>[1,8,6,7,5,3,4,2]=>[2,4,3,5,7,6,8,1]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[6,4,1,8,3,5,7,2]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[6,4,8,1,3,5,7,2]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[6,2,8,1,3,5,7,4]=>[8,4,7,2,5,6,3,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[4,2,8,1,3,5,7,6]=>[5,4,8,2,1,6,7,3]=>[3,7,6,1,2,8,4,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[2,6,8,1,3,5,7,4]=>[4,8,7,1,5,6,3,2]=>[2,3,6,5,1,7,8,4]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[4,6,8,1,3,5,7,2]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[4,6,1,8,3,5,7,2]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[4,1,6,8,3,5,7,2]=>[8,2,6,7,5,3,4,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[4,6,1,3,8,5,7,2]=>[8,6,3,4,7,2,5,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[2,4,1,8,3,5,7,6]=>[3,5,1,8,2,6,7,4]=>[4,7,6,2,8,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[2,1,6,8,3,5,7,4]=>[2,1,8,7,5,6,4,3]=>[3,4,6,5,7,8,1,2]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[1,4,3,6,8,5,7,2]=>[1,8,3,6,7,4,5,2]=>[2,5,4,7,6,3,8,1]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[4,1,3,8,6,5,7,2]=>[8,2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[2,1,6,4,3,5,7,8]=>[2,1,6,5,4,3,7,8]=>[8,7,3,4,5,6,1,2]=>[[[[.,[.,.]],[.,[.,[.,.]]]],.],.]
[2,6,1,4,3,5,7,8]=>[3,6,1,5,4,2,7,8]=>[8,7,2,4,5,1,6,3]=>[[[[.,.],[[.,.],[.,[.,.]]]],.],.]
[2,8,1,4,3,5,7,6]=>[3,8,1,5,4,6,7,2]=>[2,7,6,4,5,1,8,3]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]
[2,8,1,6,3,5,7,4]=>[3,8,1,7,5,6,4,2]=>[2,4,6,5,7,1,8,3]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[4,8,1,3,6,5,7,2]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[1,4,8,3,6,5,7,2]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,4,8,6,3,5,7,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,1,8,6,3,5,7,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,8,1,6,3,5,7,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,8,6,1,3,5,7,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,8,6,1,3,5,7,4]=>[4,8,7,1,5,6,3,2]=>[2,3,6,5,1,7,8,4]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[2,8,4,1,3,5,7,6]=>[4,8,5,1,3,6,7,2]=>[2,7,6,3,1,5,8,4]=>[[.,.],[[[.,[[.,.],.]],.],[.,.]]]
[2,6,4,1,3,5,7,8]=>[4,6,5,1,3,2,7,8]=>[8,7,2,3,1,5,6,4]=>[[[[.,.],[.,[[.,.],[.,.]]]],.],.]
[4,6,2,1,3,5,7,8]=>[5,6,4,3,1,2,7,8]=>[8,7,2,1,3,4,6,5]=>[[[[.,.],[.,[.,[[.,.],.]]]],.],.]
[6,8,1,4,3,5,7,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,1,8,4,3,5,7,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,6,8,4,3,5,7,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,6,4,3,5,7,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,1,6,4,3,5,7,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,6,1,4,3,5,7,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,6,4,1,3,5,7,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,6,2,1,3,5,7,4]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[8,4,2,1,3,5,7,6]=>[8,5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[7,8,6,5,2,1,4,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,7,4,1,8,6,3,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,6,4,2,8,3,7,1]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[5,6,4,2,7,3,1,8]=>[7,6,4,3,5,2,1,8]=>[8,1,2,5,3,4,6,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[5,7,1,4,6,3,2,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[5,8,1,4,6,3,7,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,6,7,4,5,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,5,7,4,6,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,8,4,1,7,2,5,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,4,6,1,7,8,3,2]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[5,6,4,1,8,7,3,2]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[3,5,8,4,6,7,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,6,8,4,5,7,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,7,8,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,1,4,5,3,7,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,7,1,4,5,3,2,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[3,7,1,5,4,6,2,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[3,8,1,5,4,6,7,2]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[3,7,1,5,4,6,8,2]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[6,7,1,4,5,3,8,2]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[5,7,1,4,6,3,8,2]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[5,6,4,2,7,3,8,1]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[5,4,7,2,8,3,6,1]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[5,6,4,2,8,3,1,7]=>[7,6,4,3,8,2,1,5]=>[5,1,2,8,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[5,8,1,4,6,3,2,7]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[3,8,1,5,4,6,2,7]=>[7,8,3,5,4,6,1,2]=>[2,1,6,4,5,3,8,7]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[3,6,1,5,4,2,7,8]=>[6,5,3,4,2,1,7,8]=>[8,7,1,2,4,3,5,6]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[3,6,1,5,4,8,2,7]=>[7,5,3,4,2,8,1,6]=>[6,1,8,2,4,3,5,7]=>[[.,[.,[[.,.],[.,.]]]],[[.,.],.]]
[6,8,3,1,4,2,5,7]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[7,3,8,1,4,2,5,6]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[6,7,3,1,4,2,8,5]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,6,1,5,4,7,8,2]=>[8,5,3,4,2,6,7,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]
[3,4,1,2,7,6,5,8]=>[4,3,2,1,7,6,5,8]=>[8,5,6,7,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[3,4,1,2,6,8,7,5]=>[4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[6,8,3,1,4,7,2,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,4,7,2,8,5,1,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,8,1,4,7,3,2,6]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[7,8,1,4,5,3,2,6]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,8,1,5,4,7,2,6]=>[7,8,3,5,4,6,1,2]=>[2,1,6,4,5,3,8,7]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[3,6,1,5,4,7,2,8]=>[7,5,3,4,2,6,1,8]=>[8,1,6,2,4,3,5,7]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[6,7,3,1,4,2,5,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,8,3,1,4,2,7,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,8,3,1,4,6,2,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,8,4,2,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,5,8,7,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,3,1,4,6,5,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,7,3,1,4,5,2,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[3,8,1,5,4,2,7,6]=>[6,8,3,5,4,1,7,2]=>[2,7,1,4,5,3,8,6]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[5,8,1,4,7,3,6,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,8,4,2,7,5,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,4,7,2,8,5,3,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,3,7,1,4,8,5,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,8,3,1,4,7,5,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,7,1,5,4,8,6,2]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[3,4,1,2,8,5,7,6]=>[4,3,2,1,8,6,7,5]=>[5,7,6,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[3,4,1,2,5,8,7,6]=>[4,3,2,1,5,8,7,6]=>[6,7,8,5,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]]
[3,7,1,5,4,2,8,6]=>[6,8,3,5,4,1,7,2]=>[2,7,1,4,5,3,8,6]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[6,7,3,1,4,5,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,3,8,1,4,5,2,6]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,3,8,1,4,5,6,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,8,3,1,4,5,2,7]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[3,8,1,5,4,2,6,7]=>[6,8,3,5,4,1,7,2]=>[2,7,1,4,5,3,8,6]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[9,8,7,6,5,4,2,1,3]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,8,7,6,5,3,2,1,4]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[8,7,6,3,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[9,8,7,6,4,3,2,1,5]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[8,7,4,6,3,2,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[9,8,7,5,4,3,2,1,6]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[8,5,7,4,3,2,1,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[9,8,6,5,4,3,2,1,7]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,7,6,5,4,3,2,1,8]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,8,7,6,5,4,1,3,2]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[10,9,8,7,6,5,4,2,1,3]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,8,7,6,5,2,4,1,3]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[10,9,8,7,6,5,3,2,1,4]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,8,7,6,3,5,2,1,4]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[10,9,8,7,6,4,3,2,1,5]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,7,6,2,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[9,8,7,4,6,3,2,1,5]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[10,9,8,7,5,4,3,2,1,6]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,5,4,7,3,2,1,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,3,6,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[9,8,5,7,4,3,2,1,6]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[10,9,8,6,5,4,3,2,1,7]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[6,5,8,4,3,2,1,7]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[8,4,7,6,3,2,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[9,6,8,5,4,3,2,1,7]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[10,9,7,6,5,4,3,2,1,8]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[5,8,7,4,3,2,1,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[10,8,7,6,5,4,3,2,1,9]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[5,8,6,2,3,4,7,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,5,2,7,3,1,8,6]=>[6,5,3,8,2,1,7,4]=>[4,7,1,2,8,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[4,8,2,6,3,5,7,1]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[4,3,7,8,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,1,7,2,5,8,6,3]=>[8,2,7,4,5,6,3,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[7,8,2,1,5,6,4,3]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[2,1,8,7,4,5,3,6]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[7,3,1,6,8,5,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,5,8,6,2,3,7,4]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,4,8,3,1,6,5,7]=>[5,4,8,2,1,7,6,3]=>[3,6,7,1,2,8,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[5,2,7,1,8,6,3,4]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,5,2,8,1,7,3,4]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[2,8,3,5,1,7,4,6]=>[5,8,3,7,1,6,4,2]=>[2,4,6,1,7,3,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[5,4,3,8,7,1,6,2]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[8,5,4,3,7,2,6,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,3,7,4,2,6,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,8,6,5,1,7,4,3]=>[5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[6,3,2,8,4,1,7,5]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[2,8,3,4,1,7,5,6]=>[5,8,3,4,1,7,6,2]=>[2,6,7,1,4,3,8,5]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[5,4,2,8,3,1,7,6]=>[6,5,3,8,2,1,7,4]=>[4,7,1,2,8,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[2,8,4,3,1,7,6,5]=>[5,8,4,3,1,7,6,2]=>[2,6,7,1,3,4,8,5]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[2,8,5,3,1,7,6,4]=>[5,8,7,4,1,6,3,2]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[2,8,6,4,1,7,5,3]=>[5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[3,8,7,5,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,3,7,5,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,7,6,2,5,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,7,6,1,5,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,4,8,6,2,1,5,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,3,8,5,2,1,6,4]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[7,3,8,4,2,1,6,5]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[7,5,4,3,8,2,1,6]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,7,8,4,1,2,6,5]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[3,7,8,5,1,2,6,4]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[4,7,8,6,1,2,5,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,4,6,3,5,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,7,8,6,1,2,4,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,4,7,8,3,1,2,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,3,4,8,2,1,5,6]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[7,6,4,8,3,2,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,5,8,6,2,1,4,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,5,8,7,3,1,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,4,8,3,1,5,7,6]=>[5,4,8,2,1,6,7,3]=>[3,7,6,1,2,8,4,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[2,3,8,4,1,6,7,5]=>[5,2,8,4,1,7,6,3]=>[3,6,7,1,4,8,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[2,3,8,5,1,6,7,4]=>[5,2,8,7,1,6,4,3]=>[3,4,6,1,7,8,2,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[6,4,8,7,3,1,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,4,7,3,2,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,3,4,7,2,5,6,1]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[3,4,8,7,1,5,6,2]=>[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[2,4,8,6,1,5,7,3]=>[5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[2,5,8,6,1,4,7,3]=>[5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[8,3,5,7,2,4,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,6,7,2,3,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,6,8,7,1,3,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,6,8,5,1,3,7,4]=>[5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[2,6,8,4,1,3,7,5]=>[5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[2,5,8,3,1,4,7,6]=>[5,6,8,4,1,2,7,3]=>[3,7,2,1,4,8,6,5]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]
[5,6,8,7,1,3,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,4,6,8,2,1,3,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,3,5,4,1,8,6,7]=>[5,2,4,3,1,8,7,6]=>[6,7,8,1,3,4,2,5]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]
[2,3,6,4,8,1,5,7]=>[6,2,7,4,8,1,3,5]=>[5,3,1,8,4,7,2,6]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]
[1,8,4,6,3,5,2,7]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,4,8,6,2,1,3,7]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[2,3,6,8,1,5,4,7]=>[5,2,7,8,1,6,3,4]=>[4,3,6,1,8,7,2,5]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]
[2,5,6,1,4,7,8,3]=>[4,8,5,1,3,6,7,2]=>[2,7,6,3,1,5,8,4]=>[[.,.],[[[.,[[.,.],.]],.],[.,.]]]
[2,5,6,1,4,7,3,8]=>[4,7,5,1,3,6,2,8]=>[8,2,6,3,1,5,7,4]=>[[[.,.],[[.,[[.,.],.]],[.,.]]],.]
[7,3,5,1,6,8,4,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,7,6,1,8,5,4,3]=>[4,8,7,1,6,5,3,2]=>[2,3,5,6,1,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[2,7,6,8,1,4,5,3]=>[5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[1,8,7,6,3,2,5,4]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,7,6,3,2,4,5]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,8,6,2,3,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,7,6,1,8,5,3,4]=>[4,8,7,1,6,5,3,2]=>[2,3,5,6,1,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[6,3,5,1,7,2,4,8]=>[7,6,4,3,5,2,1,8]=>[8,1,2,5,3,4,6,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[2,3,4,7,6,1,5,8]=>[6,2,3,7,5,1,4,8]=>[8,4,1,5,7,3,2,6]=>[[[.,[[.,.],.]],[.,[[.,.],.]]],.]
[7,3,5,8,4,1,2,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,8,4,5,2,7,3,6]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,8,4,5,2,7,6,3]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[7,3,5,8,4,1,6,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,7,6,4,8,5,1,3]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[7,3,5,4,6,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,3,5,4,7,1,8,2]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[6,3,5,4,7,1,2,8]=>[7,6,4,3,5,2,1,8]=>[8,1,2,5,3,4,6,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[3,7,1,6,8,5,2,4]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[2,3,1,8,6,4,7,5]=>[3,2,1,8,7,6,5,4]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[2,3,1,8,6,4,5,7]=>[3,2,1,8,7,6,5,4]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[3,7,1,6,8,5,4,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,3,5,4,7,2,1,8]=>[7,6,4,3,5,2,1,8]=>[8,1,2,5,3,4,6,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[7,3,5,4,6,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,7,6,4,8,5,3,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,8,4,5,2,6,3,7]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[6,4,8,5,3,1,2,7]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[7,3,5,8,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,3,4,6,5,8,1,7]=>[7,2,3,5,4,8,1,6]=>[6,1,8,4,5,3,2,7]=>[[.,[[[.,.],.],[.,.]]],[[.,.],.]]
[2,3,4,7,5,1,8,6]=>[6,2,3,8,5,1,7,4]=>[4,7,1,5,8,3,2,6]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]
[2,3,4,7,5,1,6,8]=>[6,2,3,7,5,1,4,8]=>[8,4,1,5,7,3,2,6]=>[[[.,[[.,.],.]],[.,[[.,.],.]]],.]
[2,3,4,7,1,6,5,8]=>[5,2,3,7,1,6,4,8]=>[8,4,6,1,7,3,2,5]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]
[2,3,4,7,1,6,8,5]=>[5,2,3,8,1,6,7,4]=>[4,7,6,1,8,3,2,5]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]
[2,3,4,6,1,8,7,5]=>[5,2,3,8,1,7,6,4]=>[4,6,7,1,8,3,2,5]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]
[6,3,5,8,4,2,7,1]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[7,4,8,5,3,2,1,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,4,8,5,3,2,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,3,5,8,4,2,1,7]=>[7,6,5,8,3,2,1,4]=>[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[5,2,4,6,8,3,7,1]=>[8,6,3,4,7,2,5,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[1,5,7,4,6,3,2,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[5,2,8,4,6,3,7,1]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[3,8,5,4,6,7,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,8,3,4,5,7,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,5,7,4,6,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,4,1,7,8,3,2,6]=>[7,6,3,8,5,2,1,4]=>[4,1,2,5,8,3,6,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[5,4,2,7,8,3,6,1]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[5,1,4,6,8,3,2,7]=>[7,2,6,4,8,3,1,5]=>[5,1,3,8,4,6,2,7]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]
[5,1,8,4,6,3,2,7]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[8,1,6,4,5,3,2,7]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,3,5,4,6,2,7]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[8,1,6,2,4,3,5,7]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,7,1,2,4,3,5,6]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[1,7,6,2,4,3,5,8]=>[1,7,6,4,5,3,2,8]=>[8,2,3,5,4,6,7,1]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[8,7,3,2,4,6,5,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,2,6,3,4,5,7,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,7,6,3,4,5,2,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[8,7,2,4,5,3,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,2,4,7,3,6,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,8,3,2,4,7,5,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,7,1,3,4,5,2,6]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,1,6,3,4,5,2,7]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,4,8,7,5,2,6,1]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[3,2,8,6,1,5,4,7]=>[5,2,8,7,1,6,4,3]=>[3,4,6,1,7,8,2,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[8,6,1,2,4,3,5,7]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[8,7,3,6,4,2,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,8,7,2,5,4,6,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,7,2,4,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,3,6,2,4,8,7,1]=>[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[3,5,2,8,6,1,4,7]=>[6,7,3,8,5,1,2,4]=>[4,2,1,5,8,3,7,6]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]
[3,7,2,5,1,4,8,6]=>[5,8,3,6,1,4,7,2]=>[2,7,4,1,6,3,8,5]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]
[5,1,8,6,2,3,4,7]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[2,5,4,1,8,6,3,7]=>[4,7,3,1,8,6,2,5]=>[5,2,6,8,1,3,7,4]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]
[7,6,3,1,8,2,4,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,2,3,6,1,4,7,5]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[1,8,2,6,3,4,7,5]=>[1,8,3,7,5,6,4,2]=>[2,4,6,5,7,3,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[8,1,3,6,4,7,2,5]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,1,3,6,4,8,2,5]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[8,2,1,3,5,7,4,6]=>[8,3,2,4,7,6,5,1]=>[1,5,6,7,4,2,3,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[8,2,6,3,1,4,7,5]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[7,5,4,1,3,8,2,6]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,7,5,8,3,4,1,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[7,3,8,5,4,1,2,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,2,3,6,1,4,8,5]=>[8,5,3,6,2,4,7,1]=>[1,7,4,2,6,3,5,8]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[1,3,7,2,5,8,4,6]=>[1,4,8,2,7,6,5,3]=>[3,5,6,7,2,8,4,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[1,7,2,3,5,8,4,6]=>[1,8,3,4,7,6,5,2]=>[2,5,6,7,4,3,8,1]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[7,4,8,1,3,6,2,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,1,2,3,5,7,4,6]=>[8,2,3,4,7,6,5,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[7,1,2,3,5,8,4,6]=>[8,2,3,4,7,6,5,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[8,6,1,4,7,3,2,5]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,6,3,7,1,4,8,5]=>[5,8,3,6,1,4,7,2]=>[2,7,4,1,6,3,8,5]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]
[2,6,3,8,1,4,7,5]=>[5,8,3,7,1,6,4,2]=>[2,4,6,1,7,3,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[7,5,4,8,1,3,2,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,4,7,1,3,2,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,3,1,8,5,4,6,7]=>[3,2,1,8,6,5,7,4]=>[4,7,5,6,8,1,2,3]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[8,6,5,1,3,4,2,7]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,5,1,7,6,3,4,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,4,7,6,1,8,5,2]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[3,5,2,6,7,1,8,4]=>[6,8,3,4,5,1,7,2]=>[2,7,1,5,4,3,8,6]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]
[8,4,7,5,1,3,2,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,8,1,6,5,2,7,4]=>[6,8,3,7,5,1,4,2]=>[2,4,1,5,7,3,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[6,1,2,8,3,4,7,5]=>[8,2,3,7,5,6,4,1]=>[1,4,6,5,7,3,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[6,8,3,1,7,2,4,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,7,2,5,6,1,8,4]=>[6,8,3,5,4,1,7,2]=>[2,7,1,4,5,3,8,6]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[6,8,4,2,5,1,7,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,7,5,3,8,4,1,6]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[8,3,1,4,7,2,6,5]=>[8,6,3,4,7,2,5,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[8,3,2,1,5,7,4,6]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[2,8,3,6,4,7,1,5]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[7,3,6,4,8,1,2,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,3,6,4,7,1,2,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,2,8,3,5,7,4,6]=>[1,2,8,4,7,6,5,3]=>[3,5,6,7,4,8,2,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[6,5,1,7,4,2,8,3]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[7,3,6,4,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,6,1,7,3,5,2,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[5,6,1,7,3,4,2,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[6,1,7,3,4,2,8,5]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[7,3,8,1,6,5,2,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,3,7,1,6,5,2,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,1,7,4,2,8,6,3]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[2,8,1,7,6,5,3,4]=>[3,8,1,7,6,5,4,2]=>[2,4,5,6,7,1,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[4,2,8,6,5,1,7,3]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[6,4,2,8,5,1,7,3]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[8,6,4,7,1,5,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,4,8,1,5,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,1,6,4,2,3,8,7]=>[6,2,5,4,3,1,8,7]=>[7,8,1,3,4,5,2,6]=>[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]
[4,2,3,8,7,5,1,6]=>[7,3,2,8,6,5,1,4]=>[4,1,5,6,8,2,3,7]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]
[3,8,7,1,6,5,2,4]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[2,4,3,8,1,6,7,5]=>[5,3,2,8,1,7,6,4]=>[4,6,7,1,8,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[2,4,3,7,1,6,8,5]=>[5,3,2,8,1,6,7,4]=>[4,7,6,1,8,2,3,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[4,2,3,7,8,5,1,6]=>[7,3,2,8,6,5,1,4]=>[4,1,5,6,8,2,3,7]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]
[5,1,6,4,2,3,7,8]=>[6,2,5,4,3,1,7,8]=>[8,7,1,3,4,5,2,6]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[6,4,7,8,1,5,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,4,6,1,5,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,5,7,8,1,4,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,7,8,6,1,5,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,7,6,1,5,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,7,6,1,4,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,5,7,1,4,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,4,8,1,5,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,7,6,1,5,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,3,2,4,7,1,5,6]=>[8,6,3,4,7,2,5,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[7,3,2,4,8,1,5,6]=>[8,6,3,4,7,2,5,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[2,5,3,7,1,6,4,8]=>[5,7,3,6,1,4,2,8]=>[8,2,4,1,6,3,7,5]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[8,4,6,7,1,5,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,4,6,8,1,5,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,1,6,8,4,2,3,7]=>[7,2,6,8,5,3,1,4]=>[4,1,3,5,8,6,2,7]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]
[4,2,3,7,5,1,6,8]=>[6,3,2,7,5,1,4,8]=>[8,4,1,5,7,2,3,6]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[3,7,5,8,1,6,2,4]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[2,4,3,7,1,6,5,8]=>[5,3,2,7,1,6,4,8]=>[8,4,6,1,7,2,3,5]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[2,4,7,1,5,8,6,3]=>[4,8,7,1,5,6,3,2]=>[2,3,6,5,1,7,8,4]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[3,2,4,7,6,1,5,8]=>[6,2,3,7,5,1,4,8]=>[8,4,1,5,7,3,2,6]=>[[[.,[[.,.],.]],[.,[[.,.],.]]],.]
[4,7,6,8,1,5,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,6,7,1,4,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,7,5,1,4,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,8,5,1,4,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,7,5,1,4,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,6,8,7,1,4,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,6,8,7,1,5,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,4,6,7,1,5,8,3]=>[5,8,6,4,1,3,7,2]=>[2,7,3,1,4,6,8,5]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]
[3,2,4,6,1,5,7,8]=>[5,2,3,6,1,4,7,8]=>[8,7,4,1,6,3,2,5]=>[[[[.,[[.,.],.]],[[.,.],.]],.],.]
[6,7,8,5,1,4,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,6,5,1,4,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,1,8,5,4,6,3,7]=>[2,1,8,7,5,6,4,3]=>[3,4,6,5,7,8,1,2]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[5,4,1,3,6,7,2,8]=>[7,4,3,2,5,6,1,8]=>[8,1,6,5,2,3,4,7]=>[[.,[[[.,[.,[.,.]]],.],[.,.]]],.]
[8,4,1,2,6,3,7,5]=>[8,6,3,4,7,2,5,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[8,2,7,1,5,3,4,6]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[3,2,7,1,5,8,4,6]=>[4,2,8,1,7,6,5,3]=>[3,5,6,7,1,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[6,3,7,1,5,4,2,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,3,8,1,5,4,2,6]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,1,5,3,8,4,2,6]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,5,1,3,6,8,2,7]=>[7,4,3,2,5,8,1,6]=>[6,1,8,5,2,3,4,7]=>[[.,[[.,[.,[.,.]]],.]],[[.,.],.]]
[6,8,3,1,5,4,2,7]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[7,6,3,1,5,4,2,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[3,6,2,1,5,8,4,7]=>[4,7,3,1,5,8,2,6]=>[6,2,8,5,1,3,7,4]=>[[[.,.],[[.,[.,.]],.]],[[.,.],.]]
[8,6,2,1,5,3,4,7]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[4,8,2,1,7,5,3,6]=>[7,8,4,3,6,5,1,2]=>[2,1,5,6,3,4,8,7]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]
[2,3,8,1,5,7,4,6]=>[4,2,8,1,7,6,5,3]=>[3,5,6,7,1,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[7,1,3,2,8,6,4,5]=>[8,2,4,3,7,6,5,1]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[7,1,6,2,8,3,4,5]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[4,7,1,2,6,3,8,5]=>[6,8,3,4,5,1,7,2]=>[2,7,1,5,4,3,8,6]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]
[2,7,8,1,5,3,4,6]=>[4,8,7,1,6,5,3,2]=>[2,3,5,6,1,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[6,7,2,1,5,3,4,8]=>[7,6,4,3,5,2,1,8]=>[8,1,2,5,3,4,6,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[4,7,2,1,8,5,3,6]=>[7,8,4,3,6,5,1,2]=>[2,1,5,6,3,4,8,7]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]
[8,7,2,1,4,5,3,6]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[8,7,5,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,7,8,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,7,4,1,6,5,3,8]=>[4,7,6,1,5,3,2,8]=>[8,2,3,5,1,6,7,4]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[3,7,1,4,5,6,8,2]=>[8,6,3,4,5,2,7,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[7,1,6,4,5,8,3,2]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[3,5,1,4,7,6,8,2]=>[8,4,3,2,6,5,7,1]=>[1,7,5,6,2,3,4,8]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[2,6,4,1,7,5,3,8]=>[4,7,6,1,5,3,2,8]=>[8,2,3,5,1,6,7,4]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[5,6,8,7,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,5,7,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,5,7,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,7,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,5,7,8,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,2,8,1,6,5,3,7]=>[7,4,8,2,6,5,1,3]=>[3,1,5,6,2,8,4,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[6,2,4,1,8,5,3,7]=>[7,4,6,2,8,3,1,5]=>[5,1,3,8,2,6,4,7]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]
[8,3,1,4,5,6,7,2]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[5,3,1,4,8,6,7,2]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[7,5,1,6,3,4,8,2]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[7,1,5,8,4,3,6,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,8,1,6,4,3,7,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,3,1,8,4,6,7,2]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[8,3,1,5,4,6,7,2]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[8,2,6,1,4,5,3,7]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,2,8,1,4,5,3,7]=>[7,4,8,2,6,5,1,3]=>[3,1,5,6,2,8,4,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[7,2,6,1,5,3,4,8]=>[7,4,6,2,5,3,1,8]=>[8,1,3,5,2,6,4,7]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[2,8,6,1,5,3,4,7]=>[4,8,7,1,6,5,3,2]=>[2,3,5,6,1,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[4,2,1,5,6,3,8,7]=>[6,3,2,4,5,1,8,7]=>[7,8,1,5,4,2,3,6]=>[[.,[[[.,[.,.]],.],[.,.]]],[.,.]]
[7,1,2,5,8,3,4,6]=>[8,2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[7,1,4,5,6,8,3,2]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[8,5,6,7,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,8,5,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,7,5,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,6,7,1,4,5,3,8]=>[4,7,6,1,5,3,2,8]=>[8,2,3,5,1,6,7,4]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[3,5,1,7,4,6,8,2]=>[8,5,3,6,2,4,7,1]=>[1,7,4,2,6,3,5,8]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[7,1,5,6,4,8,3,2]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[7,1,6,5,4,8,3,2]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[2,7,6,1,4,5,3,8]=>[4,7,6,1,5,3,2,8]=>[8,2,3,5,1,6,7,4]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[5,7,6,8,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,6,5,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,3,1,6,5,8,7,2]=>[8,3,2,5,4,7,6,1]=>[1,6,7,4,5,2,3,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[5,3,1,2,4,8,7,6]=>[5,4,3,2,1,8,7,6]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[5,3,6,2,1,8,7,4]=>[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[5,3,7,2,1,4,6,8]=>[6,5,7,4,2,1,3,8]=>[8,3,1,2,4,7,5,6]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[7,2,4,5,8,3,1,6]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,2,4,5,1,3,6,8]=>[7,5,6,4,2,3,1,8]=>[8,1,3,2,4,6,5,7]=>[[.,[[.,.],[.,[[.,.],[.,.]]]]],.]
[6,2,4,5,1,8,7,3]=>[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[3,1,4,5,2,8,7,6]=>[5,2,3,4,1,8,7,6]=>[6,7,8,1,4,3,2,5]=>[[.,[[[.,.],.],[.,.]]],[.,[.,.]]]
[3,7,4,5,1,2,6,8]=>[6,7,5,4,3,1,2,8]=>[8,2,1,3,4,5,7,6]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[3,7,4,5,8,2,1,6]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[1,7,4,2,6,3,5,8]=>[1,7,6,4,5,3,2,8]=>[8,2,3,5,4,6,7,1]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[8,7,4,5,2,1,6,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,3,7,1,8,4,2,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,7,4,1,6,3,2,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,7,4,8,6,3,2,5]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,4,8,6,3,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,3,5,6,7,1,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,8,3,5,6,7,2,4]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,8,1,5,6,7,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,1,3,5,6,7,2,8]=>[7,2,3,4,5,6,1,8]=>[8,1,6,5,4,3,2,7]=>[[.,[[[[[.,.],.],.],.],[.,.]]],.]
[5,8,4,3,6,1,2,7]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[5,3,8,4,1,7,2,6]=>[7,5,8,4,2,6,1,3]=>[3,1,6,2,4,8,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[1,5,8,4,6,7,3,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,4,8,3,6,7,5,2]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[4,3,8,2,1,7,5,6]=>[5,4,8,2,1,7,6,3]=>[3,6,7,1,2,8,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[3,8,4,2,6,1,5,7]=>[6,8,4,3,7,1,5,2]=>[2,5,1,7,3,4,8,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[1,8,2,5,6,7,4,3]=>[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[3,8,1,5,6,7,4,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,8,2,5,6,7,1,4]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[8,2,1,5,6,7,4,3]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[8,1,3,5,6,7,4,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,1,4,3,6,2,5,8]=>[7,2,6,4,5,3,1,8]=>[8,1,3,5,4,6,2,7]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[7,8,4,3,6,2,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,3,1,8,5,7,6,2]=>[8,3,2,7,5,6,4,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[4,3,1,6,8,7,5,2]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[6,3,1,8,2,7,4,5]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[6,3,5,8,2,7,1,4]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[7,5,4,8,6,2,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,1,4,8,6,2,3,5]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,5,4,1,6,2,3,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,6,4,5,8,1,3,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,6,4,5,8,2,3,7]=>[1,7,6,4,8,3,2,5]=>[5,2,3,8,4,6,7,1]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]
[7,3,6,1,8,2,4,5]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[1,7,6,5,8,3,4,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,5,3,6,7,4,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,3,5,2,1,7,4,6]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[8,4,1,5,6,7,3,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,4,2,5,6,7,1,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,1,8,5,6,7,3,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,2,8,5,6,7,3,4]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,5,3,8,6,7,4,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,4,5,8,6,7,3,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,3,5,8,1,7,2,6]=>[7,5,3,8,2,6,1,4]=>[4,1,6,2,8,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[3,5,4,8,6,1,2,7]=>[7,6,3,8,5,2,1,4]=>[4,1,2,5,8,3,6,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[1,4,8,5,6,7,2,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,4,8,5,6,7,1,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,7,1,4,3,6,5,8]=>[3,7,1,5,4,6,2,8]=>[8,2,6,4,5,1,7,3]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[4,3,7,2,5,6,8,1]=>[8,4,6,2,5,3,7,1]=>[1,7,3,5,2,6,4,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[3,7,1,4,2,6,8,5]=>[5,8,3,4,1,6,7,2]=>[2,7,6,1,4,3,8,5]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]
[3,7,1,5,6,2,8,4]=>[6,8,3,5,4,1,7,2]=>[2,7,1,4,5,3,8,6]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[4,7,1,5,6,8,2,3]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[8,5,2,6,7,3,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,2,6,3,7,1,5]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[8,4,2,3,5,7,1,6]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[4,7,3,2,5,6,1,8]=>[7,6,4,3,5,2,1,8]=>[8,1,2,5,3,4,6,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[5,3,4,6,2,8,1,7]=>[7,5,3,4,2,8,1,6]=>[6,1,8,2,4,3,5,7]=>[[.,[.,[[.,.],[.,.]]]],[[.,.],.]]
[5,3,7,4,2,8,1,6]=>[7,5,8,4,2,6,1,3]=>[3,1,6,2,4,8,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[6,4,7,2,3,8,1,5]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,5,7,2,8,3,1,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,3,7,2,4,8,6,1]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[2,6,5,1,8,3,4,7]=>[4,7,6,1,8,3,2,5]=>[5,2,3,8,1,6,7,4]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]
[8,7,6,1,4,5,2,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,7,6,1,3,2,5,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,7,2,4,3,1,6,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,4,5,1,6,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,6,4,1,7,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,6,3,1,2,7,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,6,2,3,1,7,5]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[8,3,5,4,2,1,7,6]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,7,3,4,2,1,8,6]=>[6,8,5,4,3,1,7,2]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[6,7,4,2,3,1,8,5]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,7,5,3,1,2,8,4]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,7,5,4,1,8,2,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,2,4,3,8,7,5,1]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[7,3,5,4,1,8,6,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,2,7,1,3,4,8,6]=>[6,4,8,2,5,1,7,3]=>[3,7,1,5,2,8,4,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[2,6,5,7,3,1,4,8]=>[6,7,5,4,3,1,2,8]=>[8,2,1,3,4,5,7,6]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[2,6,5,7,3,1,8,4]=>[6,8,5,4,3,1,7,2]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[6,3,1,4,7,8,5,2]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[6,8,2,1,3,4,5,7]=>[7,8,4,3,5,6,1,2]=>[2,1,6,5,3,4,8,7]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]
[3,7,1,8,4,5,2,6]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[6,3,2,4,7,5,8,1]=>[8,6,3,4,5,2,7,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[6,3,2,4,7,5,1,8]=>[7,6,3,4,5,2,1,8]=>[8,1,2,5,4,3,6,7]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[4,2,1,6,3,7,5,8]=>[5,3,2,7,1,6,4,8]=>[8,4,6,1,7,2,3,5]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[4,2,1,6,3,7,8,5]=>[5,3,2,8,1,6,7,4]=>[4,7,6,1,8,2,3,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[7,4,3,5,8,6,1,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,7,6,8,3,1,4,5]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[7,4,3,5,8,6,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,2,1,7,3,8,6,5]=>[5,3,2,8,1,7,6,4]=>[4,6,7,1,8,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[4,2,1,3,7,8,6,5]=>[4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[5,8,1,7,4,3,6,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,8,1,7,4,3,2,6]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[3,7,8,6,2,1,4,5]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[4,2,1,8,3,5,6,7]=>[5,3,2,8,1,6,7,4]=>[4,7,6,1,8,2,3,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[4,2,1,3,6,7,5,8]=>[4,3,2,1,7,6,5,8]=>[8,5,6,7,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[4,2,1,3,7,5,6,8]=>[4,3,2,1,7,6,5,8]=>[8,5,6,7,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[4,2,1,3,6,8,7,5]=>[4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[7,3,2,4,8,6,5,1]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[4,2,1,6,3,8,7,5]=>[5,3,2,8,1,7,6,4]=>[4,6,7,1,8,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[4,2,1,7,3,5,6,8]=>[5,3,2,7,1,6,4,8]=>[8,4,6,1,7,2,3,5]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[3,6,7,5,2,1,4,8]=>[6,7,5,4,3,1,2,8]=>[8,2,1,3,4,5,7,6]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[3,6,7,5,2,1,8,4]=>[6,8,5,4,3,1,7,2]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[7,3,4,2,6,8,5,1]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[4,8,6,2,7,3,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,3,4,2,6,8,1,5]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[3,6,7,5,2,4,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,6,7,5,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,2,1,7,3,6,5,8]=>[5,3,2,7,1,6,4,8]=>[8,4,6,1,7,2,3,5]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[4,2,1,7,3,6,8,5]=>[5,3,2,8,1,6,7,4]=>[4,7,6,1,8,2,3,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[3,7,6,8,4,2,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,1,7,4,2,6,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,7,8,6,2,4,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,2,1,3,8,6,7,5]=>[4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[4,2,1,3,7,6,5,8]=>[4,3,2,1,7,6,5,8]=>[8,5,6,7,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[4,2,1,3,5,7,6,8]=>[4,3,2,1,5,7,6,8]=>[8,6,7,5,1,2,3,4]=>[[[[.,[.,[.,[.,.]]]],.],[.,.]],.]
[4,2,1,3,5,8,6,7]=>[4,3,2,1,5,8,7,6]=>[6,7,8,5,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]]
[4,8,1,7,3,6,5,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,7,8,6,3,5,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,2,1,8,3,7,6,5]=>[5,3,2,8,1,7,6,4]=>[4,6,7,1,8,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[4,2,1,3,5,6,8,7]=>[4,3,2,1,5,6,8,7]=>[7,8,6,5,1,2,3,4]=>[[[[.,[.,[.,[.,.]]]],.],.],[.,.]]
[7,8,2,4,1,3,6,5]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[2,6,1,5,4,7,8,3]=>[3,8,1,5,4,6,7,2]=>[2,7,6,4,5,1,8,3]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]
[4,6,3,5,8,7,1,2]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[3,5,6,1,4,8,7,2]=>[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[2,3,6,8,4,1,5,7]=>[6,2,7,8,5,1,3,4]=>[4,3,1,5,8,7,2,6]=>[[[.,[.,.]],.],[.,[[[.,.],.],.]]]
[2,7,5,1,8,3,4,6]=>[4,8,7,1,6,5,3,2]=>[2,3,5,6,1,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[4,7,5,2,1,3,6,8]=>[6,7,5,4,3,1,2,8]=>[8,2,1,3,4,5,7,6]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[3,5,6,2,4,1,7,8]=>[6,5,4,3,2,1,7,8]=>[8,7,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[2,5,6,1,4,8,3,7]=>[4,7,5,1,3,8,2,6]=>[6,2,8,3,1,5,7,4]=>[[[.,.],[.,[[.,.],.]]],[[.,.],.]]
[6,7,8,4,1,5,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,1,6,8,4,5,3,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,4,6,5,2,8,1,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,7,4,6,8,1,3,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,7,8,1,4,6,3,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,1,5,7,4,6,3,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,8,4,6,7,5,3,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,1,8,4,7,5,3,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,5,8,6,1,7,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,5,1,6,7,3,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,1,4,5,6,7,3,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,6,7,1,4,2,3,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,4,2,6,1,5,7,3]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[4,8,5,2,1,6,7,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,1,8,4,2,6,3,7]=>[7,2,8,5,4,6,1,3]=>[3,1,6,4,5,8,2,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[1,8,4,6,2,5,3,7]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,1,5,2,3,4,7,8]=>[6,2,5,4,3,1,7,8]=>[8,7,1,3,4,5,2,6]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[8,3,1,4,6,2,5,7]=>[8,6,3,4,7,2,5,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[3,1,8,2,5,6,4,7]=>[4,2,8,1,7,6,5,3]=>[3,5,6,7,1,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[3,5,1,8,2,6,4,7]=>[5,7,3,8,1,6,2,4]=>[4,2,6,1,8,3,7,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[3,5,1,2,8,4,7,6]=>[4,6,3,1,8,2,7,5]=>[5,7,2,8,1,3,6,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[2,3,5,8,6,1,7,4]=>[6,2,8,7,5,1,4,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[8,2,4,3,6,7,1,5]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[3,2,8,5,7,1,6,4]=>[6,2,8,7,5,1,4,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[3,6,2,8,5,1,7,4]=>[6,8,3,7,5,1,4,2]=>[2,4,1,5,7,3,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[6,2,1,8,4,7,5,3]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[2,8,7,1,4,6,5,3]=>[4,8,7,1,6,5,3,2]=>[2,3,5,6,1,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[8,2,7,1,5,4,6,3]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,2,5,3,6,8,1,4]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,3,1,5,6,2,4,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[3,7,5,1,6,2,4,8]=>[6,7,5,4,3,1,2,8]=>[8,2,1,3,4,5,7,6]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[2,7,3,6,5,8,1,4]=>[7,8,3,5,4,6,1,2]=>[2,1,6,4,5,3,8,7]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[8,7,2,4,1,6,5,3]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[1,8,7,2,3,6,5,4]=>[1,8,7,4,5,6,3,2]=>[2,3,6,5,4,7,8,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[1,7,8,2,6,4,3,5]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,7,3,8,2,6,4,5]=>[1,8,5,7,3,6,4,2]=>[2,4,6,3,7,5,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,2,7,3,6,4,5,8]=>[1,2,7,4,6,5,3,8]=>[8,3,5,6,4,7,2,1]=>[[[[.,.],.],[[.,.],[.,[.,.]]]],.]
[7,1,5,8,3,2,4,6]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,6,2,8,4,3,7,5]=>[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,3,8,7,2,4,6,5]=>[1,5,8,7,2,6,4,3]=>[3,4,6,2,7,8,5,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[1,8,3,7,2,5,4,6]=>[1,8,5,7,3,6,4,2]=>[2,4,6,3,7,5,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[8,1,4,7,3,2,5,6]=>[8,2,6,7,5,3,4,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[7,1,4,2,3,5,6,8]=>[7,2,5,4,3,6,1,8]=>[8,1,6,3,4,5,2,7]=>[[.,[[[.,.],[.,[.,.]]],[.,.]]],.]
[8,2,1,4,7,3,5,6]=>[8,3,2,6,7,4,5,1]=>[1,5,4,7,6,2,3,8]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]
[2,1,3,8,4,6,7,5]=>[2,1,3,8,5,7,6,4]=>[4,6,7,5,8,3,1,2]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]
[1,2,3,4,8,5,7,6]=>[1,2,3,4,8,6,7,5]=>[5,7,6,8,4,3,2,1]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]
[2,4,7,5,6,8,3,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,4,8,7,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,5,3,8,4,7,6,1]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[2,8,5,7,3,6,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,1,8,5,2,7,6,4]=>[5,2,8,7,1,6,4,3]=>[3,4,6,1,7,8,2,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[8,3,5,7,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,3,6,1,4,5,7,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,8,6,3,4,5,7,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,6,8,3,4,5,7,1]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[2,5,7,3,4,8,6,1]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[2,7,8,5,3,6,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,7,6,3,4,8,5,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,1,8,7,2,6,4,5]=>[5,2,8,7,1,6,4,3]=>[3,4,6,1,7,8,2,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[8,3,7,6,1,4,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,1,7,2,3,6,5]=>[6,8,3,7,5,1,4,2]=>[2,4,1,5,7,3,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[4,1,7,2,3,6,5,8]=>[5,2,7,4,1,6,3,8]=>[8,3,6,1,4,7,2,5]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[3,7,1,8,2,6,4,5]=>[5,8,3,7,1,6,4,2]=>[2,4,6,1,7,3,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[3,1,7,8,2,5,6,4]=>[5,2,8,7,1,6,4,3]=>[3,4,6,1,7,8,2,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[3,1,6,5,8,2,7,4]=>[6,2,8,4,7,1,5,3]=>[3,5,1,7,4,8,2,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[6,3,5,8,7,1,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,3,8,5,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,3,6,1,4,8,5,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,8,3,6,1,4,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,4,8,1,2,3,6,5]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[8,7,4,6,1,2,5,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,5,1,2,3,4,8,6]=>[8,6,3,4,5,2,7,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[7,4,6,1,2,8,3,5]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,4,1,2,8,5,7,3]=>[8,6,3,4,7,2,5,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[5,7,1,2,3,6,4,8]=>[7,6,3,4,5,2,1,8]=>[8,1,2,5,4,3,6,7]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[3,6,8,1,2,7,4,5]=>[5,8,7,4,1,6,3,2]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[8,4,6,1,2,3,7,5]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[4,8,1,5,2,7,3,6]=>[7,8,3,5,4,6,1,2]=>[2,1,6,4,5,3,8,7]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[4,1,2,5,3,8,7,6]=>[5,2,3,4,1,8,7,6]=>[6,7,8,1,4,3,2,5]=>[[.,[[[.,.],.],[.,.]]],[.,[.,.]]]
[4,3,6,8,7,5,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,4,1,8,2,7,6,3]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[5,4,1,8,2,7,3,6]=>[7,5,3,8,2,6,1,4]=>[4,1,6,2,8,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[8,6,7,4,1,2,5,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,3,1,4,8,5,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,6,3,8,7,1,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,4,1,6,8,2,7,3]=>[8,6,3,4,7,2,5,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[5,4,7,1,2,8,6,3]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[6,7,4,1,2,8,3,5]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,5,1,2,3,7,8,4]=>[8,5,3,4,2,6,7,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]
[6,5,1,2,3,4,8,7]=>[6,5,3,4,2,1,8,7]=>[7,8,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]
[8,6,5,1,2,3,7,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,5,1,2,3,7,4,8]=>[7,5,3,4,2,6,1,8]=>[8,1,6,2,4,3,5,7]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[6,7,4,1,2,5,3,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,8,6,4,1,2,5,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,4,6,3,5,7,1,8]=>[7,4,5,2,3,6,1,8]=>[8,1,6,3,2,5,4,7]=>[[.,[[[.,.],[[.,.],.]],[.,.]]],.]
[1,4,6,3,7,2,5,8]=>[1,6,7,4,5,2,3,8]=>[8,3,2,5,4,7,6,1]=>[[[[.,.],.],[[.,.],[[.,.],.]]],.]
[8,6,2,5,3,1,7,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,2,3,4,5,1,7,6]=>[8,6,3,4,5,2,7,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[2,8,3,4,1,6,7,5]=>[5,8,3,4,1,7,6,2]=>[2,6,7,1,4,3,8,5]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[8,7,2,3,1,6,5,4]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,8,2,4,6,1,7,5]=>[6,8,3,4,7,1,5,2]=>[2,5,1,7,4,3,8,6]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[7,8,2,4,3,1,6,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,5,8,2,3,1,7,6]=>[6,5,8,4,2,1,7,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[6,1,3,5,7,2,4,8]=>[7,2,6,4,5,3,1,8]=>[8,1,3,5,4,6,2,7]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[7,1,3,6,2,5,4,8]=>[7,2,5,6,3,4,1,8]=>[8,1,4,3,6,5,2,7]=>[[.,[[[.,.],.],[[.,.],[.,.]]]],.]
[8,1,3,6,2,4,7,5]=>[8,2,5,7,3,6,4,1]=>[1,4,6,3,7,5,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[7,1,8,2,5,6,3,4]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,1,5,8,2,7,3,4]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,5,2,8,1,6,7,3]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[6,2,5,8,1,4,7,3]=>[8,5,6,7,2,3,4,1]=>[1,4,3,2,7,6,5,8]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]
[3,2,8,5,1,6,7,4]=>[5,2,8,7,1,6,4,3]=>[3,4,6,1,7,8,2,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[8,2,7,1,4,6,5,3]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[1,3,8,2,5,7,4,6]=>[1,4,8,2,7,6,5,3]=>[3,5,6,7,2,8,4,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[2,8,7,1,6,4,5,3]=>[4,8,7,1,6,5,3,2]=>[2,3,5,6,1,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[3,8,7,1,5,6,4,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,4,8,5,6,1,7,2]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[8,3,7,4,1,6,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,4,8,6,2,7,3,5]=>[1,7,8,6,5,4,2,3]=>[3,2,4,5,6,8,7,1]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[8,4,5,7,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,5,6,8,4,1,7,2]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[6,2,3,1,5,4,7,8]=>[6,4,3,2,5,1,7,8]=>[8,7,1,5,2,3,4,6]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[7,2,3,1,4,6,5,8]=>[7,4,3,2,5,6,1,8]=>[8,1,6,5,2,3,4,7]=>[[.,[[[.,[.,[.,.]]],.],[.,.]]],.]
[8,5,1,3,2,4,7,6]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[7,5,1,3,2,6,4,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[2,6,1,4,5,3,7,8]=>[3,6,1,5,4,2,7,8]=>[8,7,2,4,5,1,6,3]=>[[[[.,.],[[.,.],[.,[.,.]]]],.],.]
[3,6,4,1,5,2,7,8]=>[6,5,4,3,2,1,7,8]=>[8,7,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[4,5,6,1,3,2,7,8]=>[6,5,4,3,2,1,7,8]=>[8,7,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[4,5,7,1,2,6,3,8]=>[7,5,6,4,2,3,1,8]=>[8,1,3,2,4,6,5,7]=>[[.,[[.,.],[.,[[.,.],[.,.]]]]],.]
[6,7,1,4,2,5,3,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[8,6,1,2,4,3,7,5]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[7,8,1,2,5,3,6,4]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[3,8,4,1,2,5,7,6]=>[5,8,4,3,1,6,7,2]=>[2,7,6,1,3,4,8,5]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[1,7,5,3,2,8,4,6]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,6,7,5,3,8,4,2]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,3,8,2,6,5,7,4]=>[1,4,8,2,7,6,5,3]=>[3,5,6,7,2,8,4,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[1,2,5,7,6,3,4,8]=>[1,2,7,6,5,4,3,8]=>[8,3,4,5,6,7,2,1]=>[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]
[1,3,4,8,2,5,7,6]=>[1,5,3,8,2,6,7,4]=>[4,7,6,2,8,3,5,1]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[1,5,7,6,2,3,4,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[1,5,3,8,2,6,4,7]=>[1,7,5,8,3,6,2,4]=>[4,2,6,3,8,5,7,1]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[1,4,8,3,2,5,7,6]=>[1,5,8,4,2,6,7,3]=>[3,7,6,2,4,8,5,1]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]
[1,4,8,3,5,7,6,2]=>[1,8,7,4,5,6,3,2]=>[2,3,6,5,4,7,8,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[1,2,4,8,3,5,7,6]=>[1,2,5,8,3,6,7,4]=>[4,7,6,3,8,5,2,1]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]
[1,4,8,2,3,5,7,6]=>[1,5,8,4,2,6,7,3]=>[3,7,6,2,4,8,5,1]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]
[6,5,7,3,8,2,4,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,2,6,7,5,8,3,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,7,5,2,1,8,4,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,4,8,7,5,2,1,6]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[1,7,5,2,8,4,6,3]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[5,6,8,3,1,7,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,1,4,8,3,2,7,5]=>[8,2,6,7,5,3,4,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[3,4,7,1,8,6,2,5]=>[7,4,8,2,6,5,1,3]=>[3,1,5,6,2,8,4,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[3,4,6,8,2,1,5,7]=>[6,5,7,8,2,1,3,4]=>[4,3,1,2,8,7,5,6]=>[[[.,[.,.]],.],[[[.,[.,.]],.],.]]
[3,8,2,5,6,1,4,7]=>[6,8,3,7,5,1,4,2]=>[2,4,1,5,7,3,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[3,5,2,8,6,4,1,7]=>[7,6,3,8,5,2,1,4]=>[4,1,2,5,8,3,6,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[4,2,5,7,3,8,6,1]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[7,4,2,5,3,8,1,6]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,1,2,8,5,6,4,7]=>[3,2,1,8,7,6,5,4]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[5,2,1,6,8,3,4,7]=>[7,3,2,6,8,4,1,5]=>[5,1,4,8,6,2,3,7]=>[[.,[[.,[.,.]],.]],[[.,[.,.]],.]]
[5,2,6,8,4,1,3,7]=>[7,6,5,8,3,2,1,4]=>[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[4,5,7,3,8,2,6,1]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[6,4,3,7,8,2,5,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,4,3,1,7,8,2,5]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[7,1,3,5,4,8,2,6]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[7,5,2,8,1,4,3,6]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[5,7,3,8,4,6,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,4,5,7,3,8,6,2]=>[1,8,5,7,3,6,4,2]=>[2,4,6,3,7,5,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[4,6,3,7,8,5,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,3,6,7,8,4,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,5,3,6,7,8,4,2]=>[1,8,7,4,5,6,3,2]=>[2,3,6,5,4,7,8,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[4,6,1,7,3,8,5,2]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[6,3,7,1,8,4,5,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,7,2,4,8,1,5,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,6,1,4,7,3,8,5]=>[3,8,1,6,5,4,7,2]=>[2,7,4,5,6,1,8,3]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[3,2,5,6,7,8,1,4]=>[7,2,8,4,5,6,1,3]=>[3,1,6,5,4,8,2,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[5,2,3,6,7,8,4,1]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[6,7,1,3,2,8,4,5]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[6,2,7,1,3,4,8,5]=>[8,4,6,2,5,3,7,1]=>[1,7,3,5,2,6,4,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[5,2,1,7,3,8,4,6]=>[7,3,2,8,5,6,1,4]=>[4,1,6,5,8,2,3,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[6,4,2,7,1,8,3,5]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,2,6,3,7,8,1,5]=>[7,4,8,2,5,6,1,3]=>[3,1,6,5,2,8,4,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[4,2,6,3,7,8,5,1]=>[8,4,7,2,5,6,3,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[6,7,3,8,2,4,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,6,2,7,4,1,8,5]=>[6,8,3,5,4,1,7,2]=>[2,7,1,4,5,3,8,6]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[6,7,3,2,1,4,8,5]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,1,8,3,4,2,5,6]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,2,4,1,8,3,5,6]=>[8,4,6,2,7,3,5,1]=>[1,5,3,7,2,6,4,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[7,2,4,8,6,1,3,5]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[7,3,4,8,6,2,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,5,7,2,1,8,6,4]=>[5,8,7,4,1,6,3,2]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[6,7,8,3,2,5,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,3,7,8,2,5,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,6,7,4,8,5,3,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,2,4,7,1,8,5,3]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[4,6,2,7,1,8,5,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[1,7,4,8,5,2,6,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,3,7,8,5,2,6,4]=>[1,6,8,7,5,2,4,3]=>[3,4,2,5,7,8,6,1]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]
[2,5,7,8,1,6,3,4]=>[5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[6,3,7,1,8,2,5,4]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[1,6,4,7,8,2,5,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,5,6,1,7,8,4,3]=>[4,8,7,1,5,6,3,2]=>[2,3,6,5,1,7,8,4]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[5,6,1,2,7,8,4,3]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[6,7,2,1,8,5,3,4]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[6,7,2,8,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,6,7,4,8,5,3,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,2,4,6,3,5,7]=>[1,8,3,6,7,4,5,2]=>[2,5,4,7,6,3,8,1]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[7,2,8,3,5,1,4,6]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[1,3,7,4,6,2,5,8]=>[1,6,7,4,5,2,3,8]=>[8,3,2,5,4,7,6,1]=>[[[[.,.],.],[[.,.],[[.,.],.]]],.]
[1,5,7,4,3,6,2,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[1,8,4,5,3,6,2,7]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,8,5,3,4,7,2,6]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,8,2,4,6,3,7,5]=>[1,8,3,6,7,4,5,2]=>[2,5,4,7,6,3,8,1]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[1,8,2,5,4,6,7,3]=>[1,8,3,7,5,6,4,2]=>[2,4,6,5,7,3,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[3,6,2,7,1,4,5,8]=>[5,7,3,6,1,4,2,8]=>[8,2,4,1,6,3,7,5]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[6,3,8,1,2,4,7,5]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[1,3,7,4,6,2,8,5]=>[1,6,8,4,5,2,7,3]=>[3,7,2,5,4,8,6,1]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]
[4,5,2,7,1,3,8,6]=>[6,5,3,8,2,1,7,4]=>[4,7,1,2,8,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[4,6,5,3,7,1,8,2]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[2,5,4,7,1,6,8,3]=>[5,8,3,6,1,4,7,2]=>[2,7,4,1,6,3,8,5]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]
[4,2,3,8,6,7,1,5]=>[7,3,2,8,6,5,1,4]=>[4,1,5,6,8,2,3,7]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]
[6,2,4,8,5,1,7,3]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[5,2,4,8,1,3,7,6]=>[6,5,3,8,2,1,7,4]=>[4,7,1,2,8,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[6,2,5,4,8,3,7,1]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[6,4,3,5,8,2,7,1]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[5,2,3,4,8,1,6,7]=>[6,4,3,2,8,1,7,5]=>[5,7,1,8,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[3,5,2,4,7,1,6,8]=>[6,4,3,2,7,1,5,8]=>[8,5,1,7,2,3,4,6]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[5,3,4,8,1,6,2,7]=>[7,5,3,8,2,6,1,4]=>[4,1,6,2,8,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[4,5,3,7,1,6,2,8]=>[7,5,3,6,2,4,1,8]=>[8,1,4,2,6,3,5,7]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[6,2,4,8,5,1,3,7]=>[7,6,5,8,3,2,1,4]=>[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[7,6,3,8,5,1,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,2,6,7,3,8,1,5]=>[7,5,8,4,2,6,1,3]=>[3,1,6,2,4,8,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[1,5,7,4,2,8,6,3]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,3,7,2,8,6,4,5]=>[1,4,8,2,7,6,5,3]=>[3,5,6,7,2,8,4,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[4,5,2,7,1,8,6,3]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[4,3,6,5,7,8,1,2]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[5,2,6,4,7,8,3,1]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[4,2,6,7,3,8,5,1]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[3,2,5,6,8,1,7,4]=>[6,2,8,4,7,1,5,3]=>[3,5,1,7,4,8,2,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[6,4,5,2,3,8,7,1]=>[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[8,4,6,7,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,6,5,2,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[6,4,2,5,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[6,4,2,5,3,8,7,1]=>[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[8,6,4,7,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,2,7,4,5,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,4,2,5,8,7,3,1]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[4,6,2,5,3,8,7,1]=>[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[4,6,5,2,3,8,7,1]=>[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[6,8,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,6,7,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,4,7,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,2,7,4,5,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,4,7,2,5,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,2,4,7,5,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,2,4,7,5,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,2,6,7,5,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,8,4,6,7,5,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,8,6,7,4,5,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,7,2,4,5,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,6,4,5,8,7,3,1]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[2,6,4,8,7,5,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,6,2,8,7,5,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,2,4,6,7,5,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,2,4,8,7,5,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,2,6,8,7,5,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,2,6,5,8,7,3,1]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[6,2,4,5,8,7,3,1]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[8,2,6,7,4,5,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,7,2,4,5,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,4,5,2,8,7,3,1]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[4,2,3,6,8,7,5,1]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[6,4,5,8,7,2,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,7,4,2,5,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,6,7,2,5,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,4,8,7,2,5,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,2,8,7,4,5,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,4,8,7,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,6,8,7,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,6,5,8,7,2,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,1,6,8,7,4,5,3]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,6,8,7,4,5,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,4,8,6,7,5,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,2,8,6,7,5,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,2,8,4,7,5,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,2,6,4,7,5,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,4,8,2,7,5,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,6,8,2,7,5,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,6,8,4,7,5,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,6,8,7,2,5,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,6,5,8,2,7,3,1]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[2,1,6,8,4,7,5,3]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,8,6,4,7,5,3]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[6,8,7,4,2,5,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,8,6,4,7,5,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,6,2,7,5,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[9,8,7,3,6,2,5,1,4]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,8,7,6,3,5,1,2,4]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,4,8,3,7,2,6,1,5]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,8,4,7,3,6,1,2,5]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,8,7,2,4,6,1,3,5]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,8,7,4,6,1,2,3,5]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[5,9,4,8,3,7,1,2,6]=>[8,9,7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7,9,8]=>[[.,.],[.,[.,[.,[.,[.,[[.,.],.]]]]]]]
[9,5,8,2,4,7,1,3,6]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,5,8,4,7,1,2,3,6]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,8,3,5,7,1,2,4,6]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,8,5,7,1,2,3,4,6]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[6,9,3,5,8,1,2,4,7]=>[8,9,7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7,9,8]=>[[.,.],[.,[.,[.,[.,[.,[[.,.],.]]]]]]]
[6,9,5,8,1,2,3,4,7]=>[8,9,7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7,9,8]=>[[.,.],[.,[.,[.,[.,[.,[[.,.],.]]]]]]]
[5,7,9,1,2,3,4,6,8]=>[7,8,9,4,5,6,1,2,3]=>[3,2,1,6,5,4,9,8,7]=>[[[.,.],.],[[[.,.],.],[[[.,.],.],.]]]
[10,9,8,7,6,5,2,4,1,3]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,8,7,3,6,2,5,1,4]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,8,7,6,3,5,1,2,4]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,4,8,3,7,2,6,1,5]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,8,4,7,3,6,1,2,5]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,8,7,2,4,6,1,3,5]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,8,7,4,6,1,2,3,5]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,5,9,4,8,3,7,1,2,6]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,5,8,2,4,7,1,3,6]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,5,8,4,7,1,2,3,6]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,8,3,5,7,1,2,4,6]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,8,5,7,1,2,3,4,6]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[6,10,5,9,2,4,8,1,3,7]=>[9,10,8,7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7,8,10,9]=>[[.,.],[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]
[6,10,5,9,4,8,1,2,3,7]=>[9,10,8,7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7,8,10,9]=>[[.,.],[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]
[10,6,9,3,5,8,1,2,4,7]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,6,9,5,8,1,2,3,4,7]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,4,6,8,1,2,3,5,7]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,6,8,1,2,3,4,5,7]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[7,10,2,4,6,9,1,3,5,8]=>[9,10,7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7,10,9]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]
[7,10,4,6,9,1,2,3,5,8]=>[9,10,8,7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7,8,10,9]=>[[.,.],[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]
[4,2,5,6,3,8,1,7]=>[7,5,3,4,2,8,1,6]=>[6,1,8,2,4,3,5,7]=>[[.,[.,[[.,.],[.,.]]]],[[.,.],.]]
[6,2,5,7,4,8,3,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,5,2,1,4,7,6,3]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[6,7,3,2,5,8,4,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,2,6,4,8,1,5,7]=>[6,2,7,4,8,1,3,5]=>[5,3,1,8,4,7,2,6]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]
[2,3,6,4,7,8,5,1]=>[8,2,7,4,5,6,3,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[7,5,1,8,3,4,6,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,7,8,2,6,3,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,1,6,3,5,8,4,2]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[6,3,1,7,8,4,5,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,3,6,7,4,1,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,3,1,2,5,8,6,4]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[1,6,3,5,2,4,8,7]=>[1,6,5,4,3,2,8,7]=>[7,8,2,3,4,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]
[3,4,8,2,7,5,1,6]=>[7,4,8,2,6,5,1,3]=>[3,1,5,6,2,8,4,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[6,3,2,8,5,7,4,1]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,8,4,7,2,5,6,1]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[2,4,8,1,5,3,7,6]=>[4,6,8,1,5,2,7,3]=>[3,7,2,5,1,8,6,4]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]
[3,4,8,1,6,2,7,5]=>[6,4,8,2,7,1,5,3]=>[3,5,1,7,2,8,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[1,8,4,6,7,3,5,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,1,6,3,4,5,7,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,6,5,4,1,2,8,3]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,7,6,8,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,8,1,6,5,7,4,3]=>[3,8,1,7,6,5,4,2]=>[2,4,5,6,7,1,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[4,6,8,2,5,3,7,1]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[5,2,3,7,6,1,8,4]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[8,1,2,4,6,7,3,5]=>[8,2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[5,2,3,7,4,8,6,1]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[5,2,6,8,4,3,1,7]=>[7,6,5,8,3,2,1,4]=>[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[7,8,1,5,4,3,6,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,2,4,8,5,3,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,7,5,1,8,4,6,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,7,8,5,4,6,1,3]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[5,7,4,3,8,6,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,8,1,6,3,5,2,7]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[8,3,1,7,4,2,5,6]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[3,1,8,2,4,5,7,6]=>[4,2,8,1,5,6,7,3]=>[3,7,6,5,1,8,2,4]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]
[8,1,3,7,6,2,4,5]=>[8,2,6,7,5,3,4,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[2,3,6,8,7,1,4,5]=>[6,2,8,7,5,1,4,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[4,3,2,8,5,7,1,6]=>[7,3,2,8,5,6,1,4]=>[4,1,6,5,8,2,3,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[3,6,4,2,8,5,7,1]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[4,7,3,2,5,1,8,6]=>[6,8,4,3,5,1,7,2]=>[2,7,1,5,3,4,8,6]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]
[3,2,4,7,5,8,6,1]=>[8,2,3,7,5,6,4,1]=>[1,4,6,5,7,3,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[4,2,3,8,6,5,1,7]=>[7,3,2,8,6,5,1,4]=>[4,1,5,6,8,2,3,7]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]
[2,4,3,5,1,8,6,7]=>[5,3,2,4,1,8,7,6]=>[6,7,8,1,4,2,3,5]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]
[3,7,8,5,6,1,2,4]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[3,6,1,8,4,7,2,5]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[3,1,6,8,4,7,2,5]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[4,1,6,8,3,2,7,5]=>[6,2,8,7,5,1,4,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[4,6,1,8,3,2,7,5]=>[6,8,3,7,5,1,4,2]=>[2,4,1,5,7,3,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[4,7,8,3,1,2,6,5]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[2,7,8,3,4,6,5,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,7,8,2,1,3,6,5]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[4,6,1,8,2,3,7,5]=>[6,8,3,7,5,1,4,2]=>[2,4,1,5,7,3,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[4,1,6,8,2,3,7,5]=>[6,2,8,7,5,1,4,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[4,5,1,2,8,3,7,6]=>[6,4,3,2,8,1,7,5]=>[5,7,1,8,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[4,5,2,1,8,3,7,6]=>[6,4,3,2,8,1,7,5]=>[5,7,1,8,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[4,6,2,8,1,3,7,5]=>[6,8,5,7,3,1,4,2]=>[2,4,1,3,7,5,8,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[3,6,2,8,4,7,1,5]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[2,3,6,8,4,7,5,1]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,2,6,8,4,7,1,5]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[4,2,6,8,3,1,7,5]=>[6,5,8,7,2,1,4,3]=>[3,4,1,2,7,8,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]
[4,2,5,1,8,3,7,6]=>[6,4,3,2,8,1,7,5]=>[5,7,1,8,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[4,1,2,5,8,3,7,6]=>[6,2,3,4,8,1,7,5]=>[5,7,1,8,4,3,2,6]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]
[5,1,2,4,3,8,7,6]=>[5,2,3,4,1,8,7,6]=>[6,7,8,1,4,3,2,5]=>[[.,[[[.,.],.],[.,.]]],[.,[.,.]]]
[5,2,4,1,3,8,7,6]=>[5,4,3,2,1,8,7,6]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[4,2,5,3,8,1,7,6]=>[6,4,3,2,8,1,7,5]=>[5,7,1,8,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[3,2,5,4,8,7,1,6]=>[7,2,4,3,8,6,1,5]=>[5,1,6,8,3,4,2,7]=>[[.,[[.,.],[.,.]]],[.,[[.,.],.]]]
[5,4,2,1,3,8,7,6]=>[5,4,3,2,1,8,7,6]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[5,1,4,2,3,8,7,6]=>[5,2,4,3,1,8,7,6]=>[6,7,8,1,3,4,2,5]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]
[5,4,1,3,2,8,7,6]=>[5,4,3,2,1,8,7,6]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[5,4,3,1,2,8,7,6]=>[5,4,3,2,1,8,7,6]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[4,5,3,1,8,2,7,6]=>[6,4,3,2,8,1,7,5]=>[5,7,1,8,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[4,5,1,3,8,2,7,6]=>[6,4,3,2,8,1,7,5]=>[5,7,1,8,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[3,1,5,4,8,7,2,6]=>[7,2,4,3,8,6,1,5]=>[5,1,6,8,3,4,2,7]=>[[.,[[.,.],[.,.]]],[.,[[.,.],.]]]
[3,6,5,8,7,1,2,4]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[2,5,6,8,7,3,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,4,1,5,8,7,2,6]=>[7,3,2,4,8,6,1,5]=>[5,1,6,8,4,2,3,7]=>[[.,[[.,[.,.]],.]],[.,[[.,.],.]]]
[4,1,3,5,8,2,7,6]=>[6,2,3,4,8,1,7,5]=>[5,7,1,8,4,3,2,6]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]
[4,3,6,8,2,1,7,5]=>[6,5,8,7,2,1,4,3]=>[3,4,1,2,7,8,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]
[2,4,6,8,3,7,5,1]=>[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[5,3,1,4,2,8,7,6]=>[5,4,3,2,1,8,7,6]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[5,1,3,4,2,8,7,6]=>[5,2,4,3,1,8,7,6]=>[6,7,8,1,3,4,2,5]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]
[5,1,3,2,4,8,7,6]=>[5,2,4,3,1,8,7,6]=>[6,7,8,1,3,4,2,5]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]
[5,3,2,1,4,8,7,6]=>[5,4,3,2,1,8,7,6]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[3,4,2,5,8,7,1,6]=>[7,3,2,4,8,6,1,5]=>[5,1,6,8,4,2,3,7]=>[[.,[[.,[.,.]],.]],[.,[[.,.],.]]]
[3,2,4,5,8,7,1,6]=>[7,2,3,4,8,6,1,5]=>[5,1,6,8,4,3,2,7]=>[[.,[[[.,.],.],.]],[.,[[.,.],.]]]
[5,2,3,1,4,8,7,6]=>[5,4,3,2,1,8,7,6]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[5,2,1,3,4,8,7,6]=>[5,3,2,4,1,8,7,6]=>[6,7,8,1,4,2,3,5]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]
[5,1,2,3,4,8,7,6]=>[5,2,3,4,1,8,7,6]=>[6,7,8,1,4,3,2,5]=>[[.,[[[.,.],.],[.,.]]],[.,[.,.]]]
[8,6,2,5,4,1,3,7]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,5,7,4,2,8,3,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,7,5,3,8,2,4,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,2,1,6,3,4,5,7]=>[8,3,2,7,5,6,4,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[8,3,5,6,2,4,1,7]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,2,1,3,5,4,7]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[8,1,2,3,4,6,5,7]=>[8,2,3,4,5,7,6,1]=>[1,6,7,5,4,3,2,8]=>[.,[[[[[.,.],.],.],.],[.,[.,.]]]]
[6,2,3,7,8,4,5,1]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,5,8,2,6,3,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,3,1,6,5,8,4,2]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[6,7,8,2,1,4,5,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,7,6,2,1,3,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,3,8,4,7,2,6,1]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[8,1,3,7,6,4,2,5]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,3,1,7,8,6,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,2,8,5,3,1,7,4]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[8,2,6,4,7,1,3,5]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[3,4,2,8,5,1,7,6]=>[6,3,2,8,5,1,7,4]=>[4,7,1,5,8,2,3,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[3,8,6,5,2,1,7,4]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[8,3,7,4,2,5,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,5,7,2,1,3,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[3,4,1,8,2,6,7,5]=>[5,3,2,8,1,7,6,4]=>[4,6,7,1,8,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[8,4,6,3,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,3,4,1,5,7,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,1,7,6,2,8,4,3]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[6,8,2,5,7,4,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,8,5,6,7,1,3,4]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[2,5,7,6,3,1,8,4]=>[6,8,5,4,3,1,7,2]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[4,2,8,3,1,5,6,7]=>[5,4,8,2,1,6,7,3]=>[3,7,6,1,2,8,4,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[2,5,7,3,8,4,6,1]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[4,2,7,1,8,5,3,6]=>[7,4,8,2,6,5,1,3]=>[3,1,5,6,2,8,4,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[4,2,1,8,7,5,6,3]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[8,3,6,7,1,5,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,3,7,5,8,6,4,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,8,4,3,1,6,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,7,4,5,8,3,6,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,5,7,1,4,8,6,2]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[7,2,8,5,1,4,6,3]=>[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[1,6,5,3,8,4,2,7]=>[1,7,6,4,8,3,2,5]=>[5,2,3,8,4,6,7,1]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]
[5,7,4,8,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,6,1,3,5,2,7]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[1,8,3,2,4,7,5,6]=>[1,8,4,3,5,7,6,2]=>[2,6,7,5,3,4,8,1]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]
[8,4,3,2,5,7,1,6]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[3,6,4,8,2,5,7,1]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[4,3,7,2,5,8,1,6]=>[7,4,8,2,5,6,1,3]=>[3,1,6,5,2,8,4,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[3,2,4,7,8,5,6,1]=>[8,2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[2,6,4,3,8,5,1,7]=>[7,6,4,3,8,2,1,5]=>[5,1,2,8,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[3,8,2,1,6,4,5,7]=>[4,8,3,1,7,6,5,2]=>[2,5,6,7,1,3,8,4]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[8,2,1,3,4,5,7,6]=>[8,3,2,4,5,6,7,1]=>[1,7,6,5,4,2,3,8]=>[.,[[[[[.,[.,.]],.],.],.],[.,.]]]
[4,6,8,3,2,1,5,7]=>[6,7,8,5,4,1,2,3]=>[3,2,1,4,5,8,7,6]=>[[[.,.],.],[.,[.,[[[.,.],.],.]]]]
[3,2,6,8,5,4,1,7]=>[7,2,6,8,5,3,1,4]=>[4,1,3,5,8,6,2,7]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]
[7,3,8,2,5,4,1,6]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,2,5,3,8,7,6,1]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[4,8,2,6,5,3,1,7]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[2,6,8,5,4,1,3,7]=>[6,7,8,5,4,1,2,3]=>[3,2,1,4,5,8,7,6]=>[[[.,.],.],[.,[.,[[[.,.],.],.]]]]
[3,1,8,6,5,4,2,7]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[5,4,8,7,3,2,6,1]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[6,4,8,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,7,3,6,2,1,8,5]=>[6,8,5,4,3,1,7,2]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[5,4,3,7,1,8,2,6]=>[7,5,3,8,2,6,1,4]=>[4,1,6,2,8,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[7,3,8,5,1,4,2,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,4,8,7,6,2,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,8,1,5,7,4,6,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,8,5,7,3,1,6,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,5,4,8,3,7,6,2]=>[1,8,5,7,3,6,4,2]=>[2,4,6,3,7,5,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[4,8,3,6,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,7,8,3,1,6,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,5,3,6,4,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,6,1,3,8,7,5,2]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[6,8,2,1,7,4,5,3]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[3,7,1,6,4,2,8,5]=>[6,8,3,5,4,1,7,2]=>[2,7,1,4,5,3,8,6]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[3,1,2,7,5,6,8,4]=>[3,2,1,8,6,5,7,4]=>[4,7,5,6,8,1,2,3]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[3,7,6,2,5,8,1,4]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[3,6,2,5,8,7,4,1]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[8,5,2,3,6,7,4,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,7,2,6,3,8,1,5]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[6,3,2,4,8,7,5,1]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[3,7,2,4,6,1,8,5]=>[6,8,3,4,5,1,7,2]=>[2,7,1,5,4,3,8,6]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]
[6,3,2,8,7,5,1,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,3,8,2,6,5,1,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,4,8,7,2,5,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,5,4,8,1,7,6,3]=>[5,8,3,7,1,6,4,2]=>[2,4,6,1,7,3,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[5,2,8,1,7,6,3,4]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,2,1,3,8,7,5,4]=>[8,3,2,4,7,6,5,1]=>[1,5,6,7,4,2,3,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[3,6,1,8,7,5,2,4]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[5,6,1,2,8,7,4,3]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[7,5,2,8,1,6,4,3]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[2,7,6,8,1,5,4,3]=>[5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[7,8,5,1,6,2,4,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,4,8,6,1,2,5,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,2,1,8,3,6,5,4]=>[8,3,2,7,5,6,4,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[5,8,7,1,6,4,3,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[11,9,8,7,6,5,4,3,2,1,10]=>[11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]
[10,7,6,5,4,3,2,1,9,8]=>[10,8,7,6,5,4,3,2,9,1]=>[1,9,2,3,4,5,6,7,8,10]=>[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]]
[9,7,5,4,3,2,1,8,6]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[8,5,4,3,7,2,1,6]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,5,4,8,3,2,7,1]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[7,6,4,3,2,8,5,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,7,6,5,4,3,2,10,9,1]=>[10,7,6,5,4,3,2,9,8,1]=>[1,8,9,2,3,4,5,6,7,10]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]]]
[7,3,1,4,8,2,5,6]=>[8,6,3,4,7,2,5,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[7,4,1,2,5,8,3,6]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[6,7,4,2,5,1,3,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,7,2,4,6,8,1,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,7,5,1,6,2,8,3]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,7,4,6,3,1,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,5,1,4,3,2,8,6]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[8,6,4,2,3,7,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,4,7,1,3,8,5,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,4,2,7,3,1,6,8]=>[6,5,3,7,2,1,4,8]=>[8,4,1,2,7,3,5,6]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[4,5,1,2,7,6,8,3]=>[8,4,3,2,6,5,7,1]=>[1,7,5,6,2,3,4,8]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[5,4,6,8,3,1,2,7]=>[7,6,5,8,3,2,1,4]=>[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[6,4,8,1,3,7,2,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,3,8,4,5,7,2,6]=>[1,7,8,4,5,6,2,3]=>[3,2,6,5,4,8,7,1]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]
[2,6,7,4,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[2,6,8,4,3,5,1,7]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[4,6,1,3,7,2,5,8]=>[6,7,3,4,5,1,2,8]=>[8,2,1,5,4,3,7,6]=>[[[.,.],[[[.,.],.],[[.,.],.]]],.]
[7,5,8,6,2,1,3,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,8,7,3,5,4,1,6]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[3,4,2,6,8,7,1,5]=>[7,3,2,8,6,5,1,4]=>[4,1,5,6,8,2,3,7]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]
[7,4,2,3,6,1,8,5]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[8,4,2,3,6,5,7,1]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[7,3,8,4,1,2,6,5]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[6,8,3,2,7,1,5,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,8,5,6,3,7,1,4]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[7,4,2,5,8,1,6,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,7,8,3,4,5,1,6]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[3,7,1,2,4,6,5,8]=>[4,7,3,1,5,6,2,8]=>[8,2,6,5,1,3,7,4]=>[[[.,.],[[[.,[.,.]],.],[.,.]]],.]
[7,5,6,8,2,1,4,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,1,6,5,2,7,4,8]=>[5,2,7,4,1,6,3,8]=>[8,3,6,1,4,7,2,5]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[2,8,6,5,3,4,1,7]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[1,7,2,3,5,6,8,4]=>[1,8,3,4,6,5,7,2]=>[2,7,5,6,4,3,8,1]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]
[3,4,6,2,8,5,7,1]=>[8,4,6,2,7,3,5,1]=>[1,5,3,7,2,6,4,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[4,2,1,7,5,8,3,6]=>[7,3,2,8,5,6,1,4]=>[4,1,6,5,8,2,3,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[4,7,2,6,5,1,3,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[3,7,4,1,2,5,8,6]=>[5,8,4,3,1,6,7,2]=>[2,7,6,1,3,4,8,5]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[4,7,1,6,5,2,8,3]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[4,7,3,6,5,1,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,3,7,1,6,8,5,2]=>[8,4,7,2,5,6,3,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[4,2,6,8,7,3,1,5]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[3,4,6,1,8,5,2,7]=>[7,4,6,2,8,3,1,5]=>[5,1,3,8,2,6,4,7]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]
[4,1,6,7,5,8,2,3]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[4,3,6,7,5,1,2,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,3,7,1,6,8,2,5]=>[7,4,8,2,5,6,1,3]=>[3,1,6,5,2,8,4,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[4,3,7,5,6,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,1,7,3,6,5,2,8]=>[7,2,6,4,5,3,1,8]=>[8,1,3,5,4,6,2,7]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[2,8,7,4,5,3,1,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[2,8,7,4,3,5,1,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[3,8,1,4,2,6,5,7]=>[5,8,3,4,1,7,6,2]=>[2,6,7,1,4,3,8,5]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[4,1,7,3,6,2,5,8]=>[6,2,7,4,5,1,3,8]=>[8,3,1,5,4,7,2,6]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[5,8,7,6,1,2,4,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,7,6,2,1,3,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,1,7,2,6,8,5,3]=>[8,2,7,4,5,6,3,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[4,2,7,3,6,1,8,5]=>[6,4,8,2,5,1,7,3]=>[3,7,1,5,2,8,4,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[4,2,7,3,6,5,8,1]=>[8,4,6,2,5,3,7,1]=>[1,7,3,5,2,6,4,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[3,8,2,4,5,6,7,1]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[3,8,2,4,1,6,7,5]=>[5,8,3,4,1,7,6,2]=>[2,6,7,1,4,3,8,5]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[3,8,5,6,2,4,1,7]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[2,8,6,5,3,7,1,4]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[3,8,6,5,1,4,7,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,8,2,1,4,6,7,5]=>[4,8,3,1,5,7,6,2]=>[2,6,7,5,1,3,8,4]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]
[3,8,2,5,4,6,7,1]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[4,2,7,5,6,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,2,7,5,6,1,8,3]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,2,6,7,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[2,8,7,3,4,5,1,6]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[3,8,1,2,4,6,5,7]=>[4,8,3,1,5,7,6,2]=>[2,6,7,5,1,3,8,4]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]
[5,8,7,6,1,3,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,7,6,2,3,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,8,1,5,2,6,4,7]=>[5,8,3,7,1,6,4,2]=>[2,4,6,1,7,3,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[2,8,7,5,3,4,1,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[2,8,7,5,4,3,1,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[5,8,7,6,1,3,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,7,6,4,1,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,4,2,3,7,6,8,1]=>[8,4,3,2,6,5,7,1]=>[1,7,5,6,2,3,4,8]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[7,4,3,5,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,4,3,7,5,1,6,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,7,2,5,1,6,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,4,6,2,3,5,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,1,7,2,4,6,8,3]=>[8,2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[4,5,7,1,2,6,8,3]=>[8,5,6,4,2,3,7,1]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[5,4,1,7,3,6,8,2]=>[8,5,3,6,2,4,7,1]=>[1,7,4,2,6,3,5,8]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[3,6,4,7,5,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,4,7,6,2,5,8,1]=>[8,5,6,4,2,3,7,1]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[4,7,5,6,1,3,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,7,6,4,3,1,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,7,6,3,1,4,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,5,2,3,4,8,1,6]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,7,5,3,4,1,6,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,1,3,8,4,2,5]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,6,1,3,4,8,5,2]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[3,6,5,2,7,8,1,4]=>[7,8,4,3,5,6,1,2]=>[2,1,6,5,3,4,8,7]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]
[3,2,8,6,7,1,4,5]=>[6,2,8,7,5,1,4,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[4,8,3,6,5,2,1,7]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[1,8,6,5,4,2,3,7]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,7,2,3,5,4,6]=>[1,8,7,4,5,6,3,2]=>[2,3,6,5,4,7,8,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[1,8,7,2,5,3,4,6]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[3,6,8,5,1,2,4,7]=>[6,7,8,5,4,1,2,3]=>[3,2,1,4,5,8,7,6]=>[[[.,.],.],[.,[.,[[[.,.],.],.]]]]
[7,1,2,8,3,5,6,4]=>[8,2,3,7,5,6,4,1]=>[1,4,6,5,7,3,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[6,1,7,8,2,5,3,4]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,7,5,2,8,1,4,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,1,4,5,8,6,2,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,7,6,4,2,8,1,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,5,6,1,2,8,4,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,5,7,6,8,2,1,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,7,6,8,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,1,6,8,4,2,7,3]=>[8,2,6,7,5,3,4,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[7,4,8,2,3,6,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,6,8,4,7,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,4,7,8,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,6,4,8,5,1,2,7]=>[7,6,5,8,3,2,1,4]=>[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[3,7,4,8,1,2,5,6]=>[6,8,5,7,3,1,4,2]=>[2,4,1,3,7,5,8,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[7,4,3,8,2,6,5,1]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[7,6,8,3,2,5,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,1,3,5,4,6,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,1,8,3,4,2,6,5]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,6,8,3,1,4,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,1,4,8,2,5,7,6]=>[5,2,3,8,1,6,7,4]=>[4,7,6,1,8,3,2,5]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]
[4,8,5,2,1,3,6,7]=>[6,8,5,4,3,1,7,2]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[5,8,2,6,3,1,4,7]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[6,8,2,3,7,4,1,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,8,2,3,4,6,5,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,1,7,2,4,5,3,6]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,1,3,6,2,5,4,7]=>[8,2,5,7,3,6,4,1]=>[1,4,6,3,7,5,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[7,2,1,6,3,5,4,8]=>[7,3,2,6,5,4,1,8]=>[8,1,4,5,6,2,3,7]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[7,2,1,5,4,3,6,8]=>[7,3,2,6,5,4,1,8]=>[8,1,4,5,6,2,3,7]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[8,1,3,5,4,2,6,7]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[8,1,5,3,4,2,6,7]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[8,1,5,6,2,3,7,4]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,4,5,3,2,6,7]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[8,1,4,3,5,2,6,7]=>[8,2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[7,2,1,4,5,3,6,8]=>[7,3,2,6,5,4,1,8]=>[8,1,4,5,6,2,3,7]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[2,6,3,1,5,4,7,8]=>[4,6,3,1,5,2,7,8]=>[8,7,2,5,1,3,6,4]=>[[[[.,.],[[.,[.,.]],[.,.]]],.],.]
[6,3,2,1,5,4,7,8]=>[6,4,3,2,5,1,7,8]=>[8,7,1,5,2,3,4,6]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[7,3,1,4,5,2,6,8]=>[7,6,3,4,5,2,1,8]=>[8,1,2,5,4,3,6,7]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[7,3,1,5,4,2,6,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[7,3,1,6,2,5,4,8]=>[7,5,3,6,2,4,1,8]=>[8,1,4,2,6,3,5,7]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[3,7,1,6,2,5,4,8]=>[5,7,3,6,1,4,2,8]=>[8,2,4,1,6,3,7,5]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[3,7,1,4,5,2,6,8]=>[6,7,3,4,5,1,2,8]=>[8,2,1,5,4,3,7,6]=>[[[.,.],[[[.,.],.],[[.,.],.]]],.]
[3,6,2,1,5,4,7,8]=>[4,6,3,1,5,2,7,8]=>[8,7,2,5,1,3,6,4]=>[[[[.,.],[[.,[.,.]],[.,.]]],.],.]
[2,3,6,1,5,4,7,8]=>[4,2,6,1,5,3,7,8]=>[8,7,3,5,1,6,2,4]=>[[[[.,[.,.]],[[.,.],[.,.]]],.],.]
[3,5,2,4,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[8,7,6,1,2,3,4,5]=>[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]
[6,3,4,1,5,2,7,8]=>[6,5,4,3,2,1,7,8]=>[8,7,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[6,2,4,1,5,3,7,8]=>[6,4,5,2,3,1,7,8]=>[8,7,1,3,2,5,4,6]=>[[[.,[[.,.],[[.,.],[.,.]]]],.],.]
[2,6,4,1,5,3,7,8]=>[4,6,5,1,3,2,7,8]=>[8,7,2,3,1,5,6,4]=>[[[[.,.],[.,[[.,.],[.,.]]]],.],.]
[2,6,5,1,3,7,4,8]=>[4,7,5,1,3,6,2,8]=>[8,2,6,3,1,5,7,4]=>[[[.,.],[[.,[[.,.],.]],[.,.]]],.]
[6,2,5,1,3,7,4,8]=>[7,4,5,2,3,6,1,8]=>[8,1,6,3,2,5,4,7]=>[[.,[[[.,.],[[.,.],.]],[.,.]]],.]
[6,5,2,1,3,7,4,8]=>[7,5,4,3,2,6,1,8]=>[8,1,6,2,3,4,5,7]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[7,6,1,2,4,5,3,8]=>[7,6,3,4,5,2,1,8]=>[8,1,2,5,4,3,6,7]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[6,7,1,2,8,3,5,4]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[6,7,1,2,5,4,3,8]=>[7,6,3,4,5,2,1,8]=>[8,1,2,5,4,3,6,7]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[5,6,2,1,3,7,4,8]=>[7,5,4,3,2,6,1,8]=>[8,1,6,2,3,4,5,7]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[5,2,6,1,3,7,4,8]=>[7,4,5,2,3,6,1,8]=>[8,1,6,3,2,5,4,7]=>[[.,[[[.,.],[[.,.],.]],[.,.]]],.]
[2,4,6,1,5,3,7,8]=>[4,6,5,1,3,2,7,8]=>[8,7,2,3,1,5,6,4]=>[[[[.,.],[.,[[.,.],[.,.]]]],.],.]
[4,7,1,3,5,2,6,8]=>[6,7,3,4,5,1,2,8]=>[8,2,1,5,4,3,7,6]=>[[[.,.],[[[.,.],.],[[.,.],.]]],.]
[5,7,1,4,2,6,3,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[5,7,1,6,2,3,8,4]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[5,6,3,1,2,7,4,8]=>[7,5,4,3,2,6,1,8]=>[8,1,6,2,3,4,5,7]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[4,2,5,3,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[8,7,6,1,2,3,4,5]=>[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]
[5,3,6,1,2,7,4,8]=>[7,5,4,3,2,6,1,8]=>[8,1,6,2,3,4,5,7]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[3,4,6,1,5,2,7,8]=>[6,4,5,2,3,1,7,8]=>[8,7,1,3,2,5,4,6]=>[[[.,[[.,.],[[.,.],[.,.]]]],.],.]
[6,5,1,8,7,3,4,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,2,7,5,4,1,3,6]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[6,8,5,2,3,4,1,7]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[2,6,8,7,1,5,3,4]=>[5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[8,5,6,2,7,1,4,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,5,1,2,7,8,4,3]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[4,7,6,1,5,3,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,7,6,4,1,3,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,6,2,4,5,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,1,7,5,3,8,4,2]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[8,6,7,5,3,1,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,2,7,1,6,4,3]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[7,6,1,5,3,8,4,2]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[5,6,2,4,7,8,1,3]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[3,4,6,1,7,8,5,2]=>[8,4,7,2,5,6,3,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[3,4,8,6,7,1,5,2]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[4,8,5,6,7,2,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,6,4,1,2,7,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,6,1,7,2,4,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,8,7,3,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,1,7,2,6,4,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,1,5,7,2,6,4,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,7,2,5,6,3,4]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,8,7,2,5,1,3,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,7,2,1,6,3,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,1,5,2,6,7,3]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[3,7,8,5,1,6,2,4]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[6,5,2,7,8,1,4,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,1,2,8,5,6,3,4]=>[8,2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[8,7,2,1,5,6,3,4]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[8,6,7,1,5,2,3,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,1,7,8,5,2,3,4]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,5,6,2,1,8,4,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,7,5,2,1,6,4,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,1,3,5,8,6,2,4]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,5,3,6,8,2,7,1]=>[8,6,3,4,7,2,5,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[5,6,3,4,8,1,7,2]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[4,6,7,8,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,3,1,2,6,7,5]=>[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[8,5,1,6,3,4,7,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,1,8,6,3,4,7,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,6,8,1,5,3,7,2]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[6,4,5,8,3,2,7,1]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[3,6,4,8,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,5,8,1,3,4,7,2]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[5,6,8,3,1,2,7,4]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[6,1,8,3,5,2,7,4]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,6,8,3,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,1,3,5,2,7,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,7,1,3,5,6,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,7,8,3,5,1,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,4,8,1,2,6,7,5]=>[5,4,8,2,1,7,6,3]=>[3,6,7,1,2,8,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[5,8,2,4,3,6,7,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,8,2,3,1,6,7,4]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,8,2,3,5,1,7,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,8,2,3,5,6,1,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,6,5,1,4,3,7,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,4,8,6,1,3,7,5]=>[5,6,8,7,1,2,4,3]=>[3,4,2,1,7,8,6,5]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]
[6,7,1,8,4,3,5,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,7,8,6,1,4,3,5]=>[5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[2,7,3,8,1,6,4,5]=>[5,8,3,7,1,6,4,2]=>[2,4,6,1,7,3,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[7,5,1,8,2,4,6,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,7,8,4,1,6,3,5]=>[5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[2,6,5,4,1,3,8,7]=>[5,6,4,3,1,2,8,7]=>[7,8,2,1,3,4,6,5]=>[[[.,.],[.,[.,[[.,.],.]]]],[.,.]]
[4,1,7,6,3,8,2,5]=>[7,2,8,5,4,6,1,3]=>[3,1,6,4,5,8,2,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[4,8,2,5,7,6,3,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,4,6,5,1,8,2,7]=>[7,5,4,3,2,8,1,6]=>[6,1,8,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[2,6,5,3,4,1,8,7]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[4,6,1,5,2,3,8,7]=>[6,5,3,4,2,1,8,7]=>[7,8,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]
[6,2,3,5,1,4,8,7]=>[6,5,3,4,2,1,8,7]=>[7,8,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]
[2,6,7,5,1,8,4,3]=>[5,8,7,4,1,6,3,2]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[8,6,1,2,5,3,4,7]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[6,2,5,1,8,3,4,7]=>[7,4,6,2,8,3,1,5]=>[5,1,3,8,2,6,4,7]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]
[7,6,5,2,8,3,4,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,6,3,5,1,8,7,4]=>[5,8,3,4,1,7,6,2]=>[2,6,7,1,4,3,8,5]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[2,4,7,6,5,8,1,3]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[2,1,4,8,7,6,3,5]=>[2,1,7,8,6,5,3,4]=>[4,3,5,6,8,7,1,2]=>[[[.,[.,.]],.],[.,[.,[[.,.],.]]]]
[7,4,6,8,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,1,3,5,7,4,6,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,2,8,7,5,1,6,4]=>[6,2,8,7,5,1,4,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[4,8,5,1,6,7,2,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,8,5,1,6,7,2,4]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[7,8,6,1,3,5,2,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,6,7,2,8,1,3,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,5,1,8,6,7,4,3]=>[3,8,1,7,6,5,4,2]=>[2,4,5,6,7,1,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[3,5,1,8,6,7,4,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,2,3,8,6,7,4,1]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,3,5,4,6,7,1,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,1,3,8,6,7,4,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,2,5,8,6,7,4,1]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,2,1,5,3,8,7,4]=>[8,3,2,5,4,7,6,1]=>[1,6,7,4,5,2,3,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[5,6,3,2,8,1,4,7]=>[7,6,4,3,8,2,1,5]=>[5,1,2,8,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[8,1,6,3,5,2,7,4]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,7,6,2,5,3,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,7,6,8,3,2,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,7,5,8,1,3,4,6]=>[5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[7,6,2,8,5,1,4,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,1,3,7,5,2,6,4]=>[8,2,6,7,5,3,4,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[3,4,8,7,5,1,6,2]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[6,3,8,5,7,4,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,4,6,8,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,1,4,8,7,5,6,3]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[7,1,5,8,2,6,4,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,5,8,2,6,7,3,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,2,8,1,6,7,3,4]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[2,5,8,4,6,7,3,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,8,3,4,6,7,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,4,3,2,6,7,1,5]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[4,2,8,1,6,7,3,5]=>[7,4,8,2,6,5,1,3]=>[3,1,5,6,2,8,4,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[2,4,8,1,6,7,3,5]=>[4,7,8,1,6,5,2,3]=>[3,2,5,6,1,8,7,4]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]
[5,1,8,2,6,7,3,4]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[3,4,8,7,2,1,5,6]=>[6,5,8,7,2,1,4,3]=>[3,4,1,2,7,8,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]
[7,8,5,3,6,4,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,8,5,7,4,1,3,6]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[5,8,4,1,6,7,2,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,8,1,4,6,7,2,5]=>[7,8,3,4,6,5,1,2]=>[2,1,5,6,4,3,8,7]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]
[8,2,3,4,6,7,1,5]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[6,2,7,3,8,4,1,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,4,3,2,8,5,1,6]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[5,3,2,8,4,6,1,7]=>[7,5,3,8,2,6,1,4]=>[4,1,6,2,8,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[8,4,2,6,5,3,1,7]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,4,2,5,3,1,6,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,3,6,2,5,4,1,7]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,4,8,3,2,6,1,7]=>[7,5,8,4,2,6,1,3]=>[3,1,6,2,4,8,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[3,5,8,2,4,6,1,7]=>[7,5,8,4,2,6,1,3]=>[3,1,6,2,4,8,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[6,4,7,8,2,3,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,3,6,4,2,1,7]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[4,8,6,2,5,3,1,7]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[1,5,3,2,8,4,7,6]=>[1,6,4,3,8,2,7,5]=>[5,7,2,8,3,4,6,1]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[5,7,4,3,1,2,6,8]=>[6,7,5,4,3,1,2,8]=>[8,2,1,3,4,5,7,6]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[7,3,8,6,4,1,2,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,1,2,7,3,8,5,4]=>[8,2,3,7,5,6,4,1]=>[1,4,6,5,7,3,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[2,1,7,4,3,8,6,5]=>[2,1,8,5,4,7,6,3]=>[3,6,7,4,5,8,1,2]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[6,1,4,3,8,2,7,5]=>[8,2,6,4,7,3,5,1]=>[1,5,3,7,4,6,2,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[5,1,3,2,8,7,4,6]=>[7,2,4,3,8,6,1,5]=>[5,1,6,8,3,4,2,7]=>[[.,[[.,.],[.,.]]],[.,[[.,.],.]]]
[1,8,4,2,7,6,5,3]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,8,3,7,2,6,5,4]=>[1,8,5,7,3,6,4,2]=>[2,4,6,3,7,5,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[5,1,4,8,3,7,2,6]=>[7,2,5,8,3,6,1,4]=>[4,1,6,3,8,5,2,7]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[2,1,6,8,5,4,7,3]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[6,1,5,7,8,2,4,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,3,1,6,7,2,5,4]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[7,4,8,6,1,3,2,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,7,6,1,2,5,3,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[3,7,6,1,5,2,4,8]=>[6,7,5,4,3,1,2,8]=>[8,2,1,3,4,5,7,6]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[1,5,4,8,3,2,7,6]=>[1,6,5,8,3,2,7,4]=>[4,7,2,3,8,5,6,1]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[7,3,6,1,2,5,4,8]=>[7,5,6,4,2,3,1,8]=>[8,1,3,2,4,6,5,7]=>[[.,[[.,.],[.,[[.,.],[.,.]]]]],.]
[5,4,7,1,3,2,6,8]=>[6,5,7,4,2,1,3,8]=>[8,3,1,2,4,7,5,6]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[5,7,4,8,2,1,3,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[4,6,8,2,5,1,3,7]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[7,4,6,2,1,5,3,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,2,6,3,8,5,7,4]=>[1,2,8,4,7,6,5,3]=>[3,5,6,7,4,8,2,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[1,5,2,6,8,4,7,3]=>[1,8,3,6,7,4,5,2]=>[2,5,4,7,6,3,8,1]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[5,7,2,3,8,1,4,6]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[6,4,7,5,8,1,2,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,4,8,5,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,3,6,1,7,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,4,2,1,7,5,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,4,2,1,5,8,6,3]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[7,6,4,1,8,5,2,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,6,4,8,7,5,3,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,3,1,2,8,4,7,5]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[7,5,1,3,2,8,6,4]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[4,7,1,2,5,8,6,3]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[6,8,4,1,2,7,5,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,5,8,1,2,6,4,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,4,8,1,6,3,5,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,8,2,1,7,3,6,4]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[3,6,1,8,2,4,7,5]=>[5,8,3,7,1,6,4,2]=>[2,4,6,1,7,3,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,3,8,7,6,2,5,4]=>[1,6,8,7,5,2,4,3]=>[3,4,2,5,7,8,6,1]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]
[5,4,1,8,7,3,2,6]=>[7,6,3,8,5,2,1,4]=>[4,1,2,5,8,3,6,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[3,5,1,8,7,2,4,6]=>[6,7,3,8,5,1,2,4]=>[4,2,1,5,8,3,7,6]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]
[4,6,1,8,3,7,2,5]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[4,7,1,2,8,6,3,5]=>[7,8,3,4,6,5,1,2]=>[2,1,5,6,4,3,8,7]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]
[5,8,4,1,7,6,2,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,6,8,1,5,4,2,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,6,1,7,5,4,3,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,1,5,8,6,4,3,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,1,8,7,3,6,4,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,1,8,7,6,2,5,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,1,8,7,6,5,2,4]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[1,6,4,5,2,3,7,8]=>[1,6,5,4,3,2,7,8]=>[8,7,2,3,4,5,6,1]=>[[[[.,.],[.,[.,[.,[.,.]]]]],.],.]
[1,7,4,5,2,3,6,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[1,7,3,5,2,4,6,8]=>[1,7,5,6,3,4,2,8]=>[8,2,4,3,6,5,7,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[1,6,3,5,2,4,7,8]=>[1,6,5,4,3,2,7,8]=>[8,7,2,3,4,5,6,1]=>[[[[.,.],[.,[.,[.,[.,.]]]]],.],.]
[1,6,3,4,2,5,7,8]=>[1,6,5,4,3,2,7,8]=>[8,7,2,3,4,5,6,1]=>[[[[.,.],[.,[.,[.,[.,.]]]]],.],.]
[1,7,3,4,2,5,6,8]=>[1,7,5,4,3,6,2,8]=>[8,2,6,3,4,5,7,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[1,8,6,7,3,4,2,5]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,5,7,3,4,2,6]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,7,3,4,2,6,5,8]=>[1,7,5,4,3,6,2,8]=>[8,2,6,3,4,5,7,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[1,5,2,8,4,7,3,6]=>[1,7,3,8,5,6,2,4]=>[4,2,6,5,8,3,7,1]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[1,4,2,8,5,7,3,6]=>[1,7,3,8,5,6,2,4]=>[4,2,6,5,8,3,7,1]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[1,7,3,5,2,6,4,8]=>[1,7,5,6,3,4,2,8]=>[8,2,4,3,6,5,7,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[1,8,4,7,3,5,2,6]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,7,3,6,2,5,4,8]=>[1,7,5,6,3,4,2,8]=>[8,2,4,3,6,5,7,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[1,7,3,6,2,4,5,8]=>[1,7,5,6,3,4,2,8]=>[8,2,4,3,6,5,7,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[1,7,4,6,2,3,5,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[1,8,5,6,2,3,4,7]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,5,6,2,4,3,7]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,3,2,8,5,6,4,7]=>[1,3,2,8,7,6,5,4]=>[4,5,6,7,8,2,3,1]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]
[1,4,2,8,5,6,3,7]=>[1,7,3,8,5,6,2,4]=>[4,2,6,5,8,3,7,1]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[1,5,2,8,4,6,3,7]=>[1,7,3,8,5,6,2,4]=>[4,2,6,5,8,3,7,1]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[9,10,5,6,7,8,3,4,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[5,8,9,6,7,10,3,4,1,2]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[9,10,7,8,3,4,5,6,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,10,3,6,7,4,5,8,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,10,3,4,5,6,7,8,1,2]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[7,8,9,10,5,6,1,2,3,4]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[5,8,9,6,7,10,1,2,3,4]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[9,10,7,8,1,4,5,2,3,6]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[7,8,9,10,1,4,5,2,3,6]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[1,8,9,6,7,4,5,2,3,10]=>[1,9,8,7,6,5,4,3,2,10]=>[10,2,3,4,5,6,7,8,9,1]=>[[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[1,6,7,8,9,4,5,2,3,10]=>[1,9,8,7,6,5,4,3,2,10]=>[10,2,3,4,5,6,7,8,9,1]=>[[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[1,8,9,4,5,6,7,2,3,10]=>[1,9,8,7,6,5,4,3,2,10]=>[10,2,3,4,5,6,7,8,9,1]=>[[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[1,8,9,6,7,2,3,4,5,10]=>[1,9,8,7,6,5,4,3,2,10]=>[10,2,3,4,5,6,7,8,9,1]=>[[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[1,6,7,8,9,2,3,4,5,10]=>[1,9,8,7,6,5,4,3,2,10]=>[10,2,3,4,5,6,7,8,9,1]=>[[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[9,10,11,12,7,8,5,6,3,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,7,8,9,10,5,6,3,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[7,10,11,8,9,12,5,6,3,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[7,8,9,10,11,12,5,6,3,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,9,10,5,6,7,8,3,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[9,10,11,12,5,6,7,8,3,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,5,8,9,6,7,10,3,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,5,6,7,8,9,10,3,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,9,10,7,8,3,4,5,6,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[9,10,11,12,7,8,3,4,5,6,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,7,8,9,10,3,4,5,6,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[7,10,11,8,9,12,3,4,5,6,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[7,8,9,10,11,12,3,4,5,6,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,9,10,3,6,7,4,5,8,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[9,10,11,12,3,6,7,4,5,8,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,3,8,9,6,7,4,5,10,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,3,6,7,8,9,4,5,10,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,9,10,3,4,5,6,7,8,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[9,10,11,12,3,4,5,6,7,8,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,3,8,9,4,5,6,7,10,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,3,4,7,8,5,6,9,10,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,9,10,7,8,5,6,1,2,3,4]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[9,10,11,12,7,8,5,6,1,2,3,4]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,7,8,9,10,5,6,1,2,3,4]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[7,10,11,8,9,12,5,6,1,2,3,4]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[7,8,9,10,11,12,5,6,1,2,3,4]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,9,10,5,6,7,8,1,2,3,4]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[9,10,11,12,5,6,7,8,1,2,3,4]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,5,8,9,6,7,10,1,2,3,4]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,5,6,7,8,9,10,1,2,3,4]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,9,10,7,8,1,4,5,2,3,6]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[9,10,11,12,7,8,1,4,5,2,3,6]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,7,8,9,10,1,4,5,2,3,6]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[7,10,11,8,9,12,1,4,5,2,3,6]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[7,8,9,10,11,12,1,4,5,2,3,6]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,9,10,7,8,1,2,3,4,5,6]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[9,10,11,12,7,8,1,2,3,4,5,6]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,7,8,9,10,1,2,3,4,5,6]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[7,10,11,8,9,12,1,2,3,4,5,6]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[1,2,3,4,5,6,7,8,9,10,11,12]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[[[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.],.],.]
[8,6,4,7,2,1,3,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,6,4,7,2,8,3,5]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,4,7,3,5,8,2,6]=>[1,7,8,4,5,6,2,3]=>[3,2,6,5,4,8,7,1]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]
[8,4,6,2,3,5,1,7]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,4,8,2,3,6,1,7]=>[7,5,8,4,2,6,1,3]=>[3,1,6,2,4,8,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[7,4,8,5,2,3,1,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,8,6,2,4,5,1,7]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[4,8,6,2,3,5,1,7]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[1,7,5,3,4,8,2,6]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,7,6,4,8,2,3,5]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,8,7,4,1,2,3,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[6,8,5,3,4,1,2,7]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[6,8,3,7,2,1,4,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,1,6,3,7,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,1,3,7,4,8,2,5]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[4,1,7,3,5,8,2,6]=>[7,2,8,4,5,6,1,3]=>[3,1,6,5,4,8,2,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[7,1,6,4,8,2,3,5]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,8,5,7,2,3,4,6]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,1,5,8,2,3,4,7]=>[7,2,6,8,5,3,1,4]=>[4,1,3,5,8,6,2,7]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]
[5,1,7,3,8,2,4,6]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[6,1,5,7,8,2,3,4]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,4,8,6,1,2,3,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,8,7,5,1,2,4,6]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[4,7,6,1,2,3,5,8]=>[6,7,5,4,3,1,2,8]=>[8,2,1,3,4,5,7,6]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[6,5,8,4,1,2,3,7]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[8,5,7,4,1,2,3,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,5,7,4,8,2,3,6]=>[1,7,8,6,5,4,2,3]=>[3,2,4,5,6,8,7,1]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[7,6,4,8,2,1,3,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,2,3,8,1,4,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,4,8,5,1,6,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,2,3,1,7,4,5]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,6,4,1,2,7,3,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,7,2,8,6,3,4,5]=>[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[7,6,1,3,8,2,4,5]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,5,8,1,3,6,2,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,4,1,8,2,3,6,7]=>[6,5,3,8,2,1,7,4]=>[4,7,1,2,8,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[1,4,8,7,2,3,5,6]=>[1,6,8,7,5,2,4,3]=>[3,4,2,5,7,8,6,1]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]
[1,5,8,7,2,3,4,6]=>[1,7,8,6,5,4,2,3]=>[3,2,4,5,6,8,7,1]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[6,5,1,8,2,3,4,7]=>[7,6,3,8,5,2,1,4]=>[4,1,2,5,8,3,6,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[5,7,1,3,8,2,4,6]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[7,6,8,1,5,2,3,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,1,5,8,6,2,3,4]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,1,8,2,7,3,4,5]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[4,1,8,7,2,3,5,6]=>[6,2,8,7,5,1,4,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[5,1,8,7,2,3,4,6]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[1,8,7,6,4,5,3,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[9,8,7,6,4,5,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[10,1,2,3,4,5,6,7,8,9]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[8,7,6,4,3,5,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[9,1,2,3,4,5,6,7,8]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[8,7,6,3,5,4,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[9,1,2,3,4,5,6,7,8]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[1,9,8,7,5,4,6,3,2]=>[1,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,8,7,3,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,9,8,7,4,6,5,3,2]=>[1,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,10,9,8,7,5,6,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[7,1,5,8,3,4,2,6]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,1,4,3,2,5,6,8]=>[7,2,5,4,3,6,1,8]=>[8,1,6,3,4,5,2,7]=>[[.,[[[.,.],[.,[.,.]]],[.,.]]],.]
[6,4,2,3,8,5,7,1]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[6,4,2,7,5,8,3,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,4,1,7,5,8,3,6]=>[3,7,1,8,5,6,2,4]=>[4,2,6,5,8,1,7,3]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[7,1,4,6,5,8,2,3]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[7,1,4,6,3,8,2,5]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[7,1,4,3,2,5,8,6]=>[8,2,5,4,3,6,7,1]=>[1,7,6,3,4,5,2,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[7,1,4,6,5,2,8,3]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[7,1,4,6,5,3,8,2]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[6,4,2,7,5,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,4,7,2,6,8,5,1]=>[8,4,7,2,5,6,3,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[3,4,7,1,6,8,2,5]=>[7,4,8,2,5,6,1,3]=>[3,1,6,5,2,8,4,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[3,4,7,1,6,8,5,2]=>[8,4,7,2,5,6,3,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[2,4,1,7,5,3,6,8]=>[3,6,1,7,5,2,4,8]=>[8,4,2,5,7,1,6,3]=>[[[[.,.],[.,.]],[.,[[.,.],.]]],.]
[3,4,1,7,8,6,2,5]=>[7,3,2,8,6,5,1,4]=>[4,1,5,6,8,2,3,7]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]
[6,4,2,3,8,5,1,7]=>[7,6,4,3,8,2,1,5]=>[5,1,2,8,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[6,4,2,7,5,8,1,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,4,2,7,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[3,4,7,2,6,8,1,5]=>[7,4,8,2,5,6,1,3]=>[3,1,6,5,2,8,4,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[5,4,7,3,6,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,4,7,2,6,5,1,8]=>[7,4,6,2,5,3,1,8]=>[8,1,3,5,2,6,4,7]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[4,8,3,2,5,6,1,7]=>[7,8,4,3,5,6,1,2]=>[2,1,6,5,3,4,8,7]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]
[4,8,7,3,5,1,2,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[4,8,7,1,3,5,2,6]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[4,8,3,1,2,6,5,7]=>[5,8,4,3,1,7,6,2]=>[2,6,7,1,3,4,8,5]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[3,4,7,1,6,2,5,8]=>[6,4,7,2,5,1,3,8]=>[8,3,1,5,2,7,4,6]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[3,4,7,1,6,2,8,5]=>[6,4,8,2,5,1,7,3]=>[3,7,1,5,2,8,4,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[3,4,7,2,6,5,8,1]=>[8,4,6,2,5,3,7,1]=>[1,7,3,5,2,6,4,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[4,8,3,1,2,6,7,5]=>[5,8,4,3,1,7,6,2]=>[2,6,7,1,3,4,8,5]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[5,8,1,6,3,4,2,7]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[6,8,5,1,3,7,2,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,8,5,1,3,4,7,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,8,3,4,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,4,7,3,6,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,4,7,2,6,1,8,3]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,4,3,7,5,1,2,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,4,3,7,5,1,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,2,4,3,1,5,8,7]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[3,8,7,4,1,5,2,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[2,4,7,3,6,1,5,8]=>[6,4,7,2,5,1,3,8]=>[8,3,1,5,2,7,4,6]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[5,8,3,2,1,6,4,7]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[5,8,7,4,3,1,2,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[5,4,7,3,6,2,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,3,8,2,1,6,5,4]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[7,4,3,8,5,2,1,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,5,2,8,4,3,1,7]=>[7,6,5,8,3,2,1,4]=>[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[4,3,2,8,6,5,1,7]=>[7,3,2,8,6,5,1,4]=>[4,1,5,6,8,2,3,7]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]
[4,3,8,7,5,1,6,2]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[3,2,5,8,6,1,4,7]=>[6,2,7,8,5,1,3,4]=>[4,3,1,5,8,7,2,6]=>[[[.,[.,.]],.],[.,[[[.,.],.],.]]]
[8,4,3,7,5,2,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,3,7,8,5,1,2,6]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[5,3,7,8,4,1,2,6]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[6,2,5,8,3,1,4,7]=>[7,6,5,8,3,2,1,4]=>[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[6,2,4,8,3,1,5,7]=>[7,6,5,8,3,2,1,4]=>[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[5,2,3,8,4,1,6,7]=>[6,5,3,8,2,1,7,4]=>[4,7,1,2,8,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[5,3,8,7,4,1,6,2]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[5,3,2,8,6,4,1,7]=>[7,6,3,8,5,2,1,4]=>[4,1,2,5,8,3,6,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[7,5,3,8,4,2,1,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,5,3,6,2,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,5,3,7,2,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,5,4,3,8,2,6,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,4,5,3,8,2,7,1]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[7,4,6,3,8,2,5,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,5,6,3,8,2,4,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,5,6,3,7,2,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,4,6,3,5,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,4,6,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,7,3,5,2,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,7,3,4,2,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,5,8,4,3,2,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,5,8,4,3,2,7,1]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[6,5,8,3,4,2,7,1]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[7,5,8,3,4,2,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,5,8,4,6,2,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,4,8,3,6,2,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,4,8,3,5,2,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,4,8,3,5,2,7,1]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[6,4,7,3,5,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,4,8,3,7,2,6,1]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[6,5,8,3,7,2,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,5,8,4,7,2,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,5,8,4,7,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,4,7,3,8,2,5,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,4,7,3,8,2,6,1]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[5,4,6,3,8,2,7,1]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[5,3,6,2,4,7,8,1]=>[8,5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[5,3,6,1,4,8,7,2]=>[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[5,3,7,2,4,6,8,1]=>[8,5,6,4,2,3,7,1]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[4,2,1,5,8,6,3,7]=>[7,3,2,4,8,6,1,5]=>[5,1,6,8,4,2,3,7]=>[[.,[[.,[.,.]],.]],[.,[[.,.],.]]]
[4,2,1,5,8,6,7,3]=>[8,3,2,4,7,6,5,1]=>[1,5,6,7,4,2,3,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[4,2,1,5,8,7,6,3]=>[8,3,2,4,7,6,5,1]=>[1,5,6,7,4,2,3,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[4,3,1,5,7,8,6,2]=>[8,3,2,4,7,6,5,1]=>[1,5,6,7,4,2,3,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[4,3,1,7,5,8,6,2]=>[8,3,2,7,5,6,4,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[6,7,3,1,4,8,2,5]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,3,7,1,4,8,2,6]=>[7,5,8,4,2,6,1,3]=>[3,1,6,2,4,8,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[4,3,1,5,7,8,2,6]=>[7,3,2,4,8,6,1,5]=>[5,1,6,8,4,2,3,7]=>[[.,[[.,[.,.]],.]],[.,[[.,.],.]]]
[3,2,1,8,5,4,6,7]=>[3,2,1,8,6,5,7,4]=>[4,7,5,6,8,1,2,3]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[3,2,1,8,5,7,4,6]=>[3,2,1,8,7,6,5,4]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[3,2,1,8,7,5,4,6]=>[3,2,1,8,7,6,5,4]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[5,2,7,1,8,4,3,6]=>[7,4,8,2,6,5,1,3]=>[3,1,5,6,2,8,4,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[6,7,2,1,8,4,3,5]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[6,7,2,1,8,4,5,3]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[3,2,1,8,5,6,4,7]=>[3,2,1,8,7,6,5,4]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[3,2,1,8,6,5,4,7]=>[3,2,1,8,7,6,5,4]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[4,3,1,6,7,8,5,2]=>[8,3,2,7,5,6,4,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[4,2,1,6,8,7,5,3]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[4,2,1,6,8,5,7,3]=>[8,3,2,6,7,4,5,1]=>[1,5,4,7,6,2,3,8]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]
[4,2,1,6,8,5,3,7]=>[7,3,2,6,8,4,1,5]=>[5,1,4,8,6,2,3,7]=>[[.,[[.,[.,.]],.]],[[.,[.,.]],.]]
[5,2,6,1,8,4,3,7]=>[7,4,6,2,8,3,1,5]=>[5,1,3,8,2,6,4,7]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]
[5,2,6,1,8,7,4,3]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[5,2,6,1,8,7,3,4]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[5,2,6,1,8,3,4,7]=>[7,4,6,2,8,3,1,5]=>[5,1,3,8,2,6,4,7]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]
[4,2,1,6,8,3,7,5]=>[6,3,2,8,7,1,5,4]=>[4,5,1,7,8,2,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]
[4,3,1,6,7,8,2,5]=>[7,3,2,8,5,6,1,4]=>[4,1,6,5,8,2,3,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[6,7,3,1,5,8,2,4]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,2,1,7,8,6,3,5]=>[7,3,2,8,6,5,1,4]=>[4,1,5,6,8,2,3,7]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]
[3,2,1,8,7,6,4,5]=>[3,2,1,8,7,6,5,4]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[3,2,1,8,6,4,7,5]=>[3,2,1,8,7,6,5,4]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[3,2,1,8,6,4,5,7]=>[3,2,1,8,7,6,5,4]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[3,2,1,8,4,6,5,7]=>[3,2,1,8,5,7,6,4]=>[4,6,7,5,8,1,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[3,2,1,8,4,6,7,5]=>[3,2,1,8,5,7,6,4]=>[4,6,7,5,8,1,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[3,2,1,8,4,7,6,5]=>[3,2,1,8,5,7,6,4]=>[4,6,7,5,8,1,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[3,2,1,8,7,4,6,5]=>[3,2,1,8,7,6,5,4]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[4,2,1,7,8,3,6,5]=>[6,3,2,8,7,1,5,4]=>[4,5,1,7,8,2,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]
[5,2,7,1,8,3,6,4]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,7,2,1,8,3,5,4]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[5,2,7,1,8,3,4,6]=>[7,4,8,2,6,5,1,3]=>[3,1,5,6,2,8,4,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[4,2,1,7,8,3,5,6]=>[6,3,2,8,7,1,5,4]=>[4,5,1,7,8,2,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]
[3,2,1,8,4,5,7,6]=>[3,2,1,8,5,6,7,4]=>[4,7,6,5,8,1,2,3]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[7,5,2,8,6,3,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,4,8,6,2,5,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,3,8,6,2,4,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,4,3,1,8,2,5,6]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[7,4,2,8,5,6,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,3,8,5,2,4,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,3,8,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,3,8,2,5,7,4,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,4,3,8,1,5,2,7]=>[7,6,5,8,3,2,1,4]=>[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[6,3,7,8,2,4,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,6,7,3,8,2,4,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,4,7,2,6,8,1,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,3,8,2,4,6,7,1]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[6,3,8,2,4,7,5,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,7,4,2,6,8,1,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,4,8,2,7,5,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,5,3,1,4,2,7,8]=>[6,5,4,3,2,1,7,8]=>[8,7,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[5,7,4,2,6,1,3,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,6,4,2,3,8,1,7]=>[7,5,4,3,2,8,1,6]=>[6,1,8,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[5,6,3,7,8,2,4,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,6,3,8,2,4,7,1]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[6,3,7,2,4,5,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,3,7,2,5,8,4,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,3,6,8,2,4,7,1]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[5,4,6,2,3,8,1,7]=>[7,5,4,3,2,8,1,6]=>[6,1,8,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[5,3,6,7,8,2,4,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,6,4,2,1,5,8,7]=>[5,6,4,3,1,2,8,7]=>[7,8,2,1,3,4,6,5]=>[[[.,.],[.,[.,[[.,.],.]]]],[.,.]]
[3,5,8,6,4,2,1,7]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[5,8,6,3,4,2,1,7]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[5,6,3,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[6,3,4,2,1,5,8,7]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[5,6,4,2,1,3,8,7]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[2,5,4,1,7,8,6,3]=>[4,8,3,1,7,6,5,2]=>[2,5,6,7,1,3,8,4]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[2,7,8,5,4,1,6,3]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[2,8,5,4,1,6,3,7]=>[5,8,7,4,1,6,3,2]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[2,6,3,8,5,4,1,7]=>[7,6,3,8,5,2,1,4]=>[4,1,2,5,8,3,6,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[2,8,6,3,5,4,1,7]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[5,8,6,4,2,1,3,7]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[4,2,1,5,7,8,6,3]=>[8,3,2,4,7,6,5,1]=>[1,5,6,7,4,2,3,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[2,7,8,6,3,5,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,3,8,5,7,6,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,6,2,1,8,4,3,5]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[2,1,8,5,6,4,3,7]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[4,2,1,8,5,6,3,7]=>[7,3,2,8,5,6,1,4]=>[4,1,6,5,8,2,3,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[8,4,2,1,5,6,3,7]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[2,5,6,3,8,4,1,7]=>[7,6,4,3,8,2,1,5]=>[5,1,2,8,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[6,3,4,2,1,8,5,7]=>[7,5,4,3,2,8,1,6]=>[6,1,8,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[3,7,8,5,6,4,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,8,5,6,4,2,1,7]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[3,6,4,2,1,8,5,7]=>[5,7,4,3,1,8,2,6]=>[6,2,8,1,3,4,7,5]=>[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]
[3,8,6,4,2,1,5,7]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[3,7,8,6,4,2,1,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[8,5,3,7,6,2,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,2,4,1,8,5,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,5,4,1,7,6,2,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,6,2,3,8,5,4,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,1,7,8,6,4,3,5]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[6,4,2,1,3,7,8,5]=>[8,5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[6,3,7,8,4,2,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,4,2,1,6,3,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,7,6,2,3,8,4,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,6,1,8,4,3,7,5]=>[3,8,1,7,6,5,4,2]=>[2,4,5,6,7,1,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[2,6,1,7,5,8,4,3]=>[3,8,1,7,5,6,4,2]=>[2,4,6,5,7,1,8,3]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[8,4,2,3,7,5,6,1]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[8,5,7,6,2,1,4,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,5,7,6,2,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,7,6,2,1,3,8,5]=>[6,8,5,4,3,1,7,2]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[7,5,6,1,8,4,2,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,7,5,8,4,3,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,8,4,3,6,1,7,5]=>[6,8,4,3,7,1,5,2]=>[2,5,1,7,3,4,8,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[6,4,7,8,3,2,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,5,8,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[9,1,2,3,4,5,6,7,8]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[7,6,5,4,9,3,2,1,8]=>[8,7,6,4,9,3,2,1,5]=>[5,1,2,3,9,4,6,7,8]=>[[.,[.,[.,[.,.]]]],[[.,[.,[.,.]]],.]]
[6,9,8,5,4,3,2,1,7]=>[8,9,7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7,9,8]=>[[.,.],[.,[.,[.,[.,[.,[[.,.],.]]]]]]]
[8,7,9,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[10,1,2,3,4,5,6,7,8,9]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[7,5,8,9,4,3,2,1,6]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[8,7,6,9,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[10,1,2,3,4,5,6,7,8,9]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[6,4,3,7,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,6,4,8,9,3,2,1,5]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[8,7,6,5,10,4,3,2,1,9]=>[9,8,7,6,10,4,3,2,1,5]=>[5,1,2,3,4,10,6,7,8,9]=>[[.,[.,[.,[.,.]]]],[[.,[.,[.,[.,.]]]],.]]
[6,5,3,2,8,4,1,7]=>[7,6,4,3,8,2,1,5]=>[5,1,2,8,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[6,5,2,7,8,4,1,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,10,9,6,5,4,3,2,1,8]=>[9,10,8,7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7,8,10,9]=>[[.,.],[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]
[9,8,10,7,6,5,4,3,2,1,11]=>[10,9,8,7,6,5,4,3,2,1,11]=>[11,1,2,3,4,5,6,7,8,9,10]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],.]
[6,5,8,7,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[9,1,2,3,4,5,6,7,8]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[8,6,9,10,5,4,3,2,1,7]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,8,7,10,6,5,4,3,2,1,11]=>[10,9,8,7,6,5,4,3,2,1,11]=>[11,1,2,3,4,5,6,7,8,9,10]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],.]
[7,5,4,8,6,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[9,1,2,3,4,5,6,7,8]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[5,9,8,7,4,3,2,1,6]=>[8,9,7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7,9,8]=>[[.,.],[.,[.,[.,[.,[.,[[.,.],.]]]]]]]
[8,7,5,9,10,4,3,2,1,6]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[6,4,3,2,5,8,1,7]=>[7,5,4,3,2,8,1,6]=>[6,1,8,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[7,6,4,3,9,5,2,1,8]=>[8,7,6,4,9,3,2,1,5]=>[5,1,2,3,9,4,6,7,8]=>[[.,[.,[.,[.,.]]]],[[.,[.,[.,.]]],.]]
[7,4,8,9,6,3,2,1,5]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[8,7,6,4,10,9,3,2,1,5]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[6,3,7,2,5,4,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,6,3,8,9,5,2,1,4]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[6,3,2,7,5,4,1,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[8,7,6,5,4,3,1,10,9,2]=>[10,7,6,5,4,3,2,9,8,1]=>[1,8,9,2,3,4,5,6,7,10]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]]]
[9,8,7,6,5,4,3,2,1,10,11]=>[9,8,7,6,5,4,3,2,1,10,11]=>[11,10,1,2,3,4,5,6,7,8,9]=>[[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.],.]
[8,4,2,6,3,1,7,5]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[1,5,3,7,4,2,8,6]=>[1,6,5,8,3,2,7,4]=>[4,7,2,3,8,5,6,1]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[8,6,5,2,3,1,7,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,8,6,3,2,5,7,4]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[8,7,5,2,1,4,6,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,5,2,1,4,6,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,5,2,3,1,7,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,6,2,3,1,7,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,2,6,3,1,7,5]=>[6,8,5,7,3,1,4,2]=>[2,4,1,3,7,5,8,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[3,2,8,6,4,1,7,5]=>[6,2,8,7,5,1,4,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[3,2,1,7,5,4,8,6]=>[3,2,1,8,6,5,7,4]=>[4,7,5,6,8,1,2,3]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[4,1,3,7,5,2,8,6]=>[6,2,3,8,5,1,7,4]=>[4,7,1,5,8,3,2,6]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]
[7,1,6,3,2,5,8,4]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[1,2,7,4,3,6,8,5]=>[1,2,8,5,4,6,7,3]=>[3,7,6,4,5,8,2,1]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]
[6,1,8,2,4,5,7,3]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[5,1,8,3,2,6,7,4]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[3,2,8,7,1,5,6,4]=>[5,2,8,7,1,6,4,3]=>[3,4,6,1,7,8,2,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[4,8,2,7,1,5,6,3]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[5,8,7,2,1,4,6,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,7,1,3,4,5,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,8,6,1,3,4,5,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,7,8,2,4,5,6,3]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[8,6,7,1,3,4,5,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,6,8,1,3,4,5,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,5,8,2,3,1,7,4]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[1,6,8,3,2,5,7,4]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,5,3,8,2,6,7,4]=>[1,8,5,7,3,6,4,2]=>[2,4,6,3,7,5,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[8,4,2,7,1,5,6,3]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[7,4,2,8,1,5,6,3]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[6,4,2,8,3,1,7,5]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[5,4,2,3,8,1,7,6]=>[6,4,3,2,8,1,7,5]=>[5,7,1,8,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[4,5,2,3,1,6,8,7]=>[5,4,3,2,1,6,8,7]=>[7,8,6,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]]
[7,4,2,1,3,6,8,5]=>[8,5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[8,4,2,1,3,6,7,5]=>[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[1,5,3,2,4,7,8,6]=>[1,5,4,3,2,8,7,6]=>[6,7,8,2,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]
[8,5,1,3,2,6,7,4]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[5,6,1,3,4,2,8,7]=>[6,5,3,4,2,1,8,7]=>[7,8,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]
[4,6,2,1,5,3,8,7]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[4,7,2,1,3,6,8,5]=>[5,8,4,3,1,6,7,2]=>[2,7,6,1,3,4,8,5]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[5,7,1,3,2,6,8,4]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[6,7,1,2,4,5,8,3]=>[8,6,3,4,5,2,7,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[8,6,1,2,4,5,7,3]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[1,8,2,3,5,6,7,4]=>[1,8,3,4,7,6,5,2]=>[2,5,6,7,4,3,8,1]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[8,7,1,2,4,5,6,3]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[7,8,1,2,4,5,6,3]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[5,8,1,3,2,6,7,4]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[4,8,2,1,3,6,7,5]=>[5,8,4,3,1,7,6,2]=>[2,6,7,1,3,4,8,5]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[4,1,3,2,5,7,8,6]=>[4,2,3,1,5,8,7,6]=>[6,7,8,5,1,3,2,4]=>[[[.,[[.,.],[.,.]]],.],[.,[.,.]]]
[5,1,2,4,3,7,8,6]=>[5,2,3,4,1,8,7,6]=>[6,7,8,1,4,3,2,5]=>[[.,[[[.,.],.],[.,.]]],[.,[.,.]]]
[5,4,8,1,2,3,7,6]=>[6,5,8,4,2,1,7,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[4,8,3,2,7,6,1,5]=>[7,8,4,3,6,5,1,2]=>[2,1,5,6,3,4,8,7]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]
[4,3,8,2,7,1,6,5]=>[6,4,8,2,7,1,5,3]=>[3,5,1,7,2,8,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[1,4,7,3,6,2,5,8]=>[1,6,7,4,5,2,3,8]=>[8,3,2,5,4,7,6,1]=>[[[[.,.],.],[[.,.],[[.,.],.]]],.]
[4,3,2,8,1,7,6,5]=>[5,3,2,8,1,7,6,4]=>[4,6,7,1,8,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[4,1,8,3,7,2,5,6]=>[6,2,8,4,7,1,5,3]=>[3,5,1,7,4,8,2,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[4,1,8,7,3,2,5,6]=>[6,2,8,7,5,1,4,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[4,7,8,1,2,5,3,6]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[3,4,7,6,2,1,8,5]=>[6,5,8,4,2,1,7,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[3,4,2,7,1,6,8,5]=>[5,3,2,8,1,6,7,4]=>[4,7,6,1,8,2,3,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[2,6,3,4,7,8,1,5]=>[7,8,3,4,5,6,1,2]=>[2,1,6,5,4,3,8,7]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]
[2,6,7,8,3,4,1,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[3,1,7,8,4,2,5,6]=>[6,2,8,7,5,1,4,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[4,1,3,2,8,7,5,6]=>[4,2,3,1,8,7,6,5]=>[5,6,7,8,1,3,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]
[3,7,8,2,6,4,1,5]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[4,2,3,8,1,6,7,5]=>[5,3,2,8,1,7,6,4]=>[4,6,7,1,8,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[4,3,1,8,2,5,7,6]=>[5,3,2,8,1,6,7,4]=>[4,7,6,1,8,2,3,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[3,2,7,8,4,1,6,5]=>[6,2,8,7,5,1,4,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[4,2,8,6,3,1,7,5]=>[6,5,8,7,2,1,4,3]=>[3,4,1,2,7,8,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]
[3,7,2,4,8,6,1,5]=>[7,8,3,4,6,5,1,2]=>[2,1,5,6,4,3,8,7]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]
[3,2,7,4,8,1,6,5]=>[6,2,8,4,7,1,5,3]=>[3,5,1,7,4,8,2,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[1,3,6,4,7,2,5,8]=>[1,6,7,4,5,2,3,8]=>[8,3,2,5,4,7,6,1]=>[[[[.,.],.],[[.,.],[[.,.],.]]],.]
[3,2,4,7,1,8,6,5]=>[5,2,3,8,1,7,6,4]=>[4,6,7,1,8,3,2,5]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]
[3,7,4,2,6,8,1,5]=>[7,8,4,3,5,6,1,2]=>[2,1,6,5,3,4,8,7]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]
[3,7,4,6,2,8,1,5]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[4,7,1,5,8,2,3,6]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[3,7,6,4,8,2,1,5]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[3,1,7,4,8,2,5,6]=>[6,2,8,4,7,1,5,3]=>[3,5,1,7,4,8,2,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[2,6,7,3,8,4,1,5]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[2,3,6,4,7,1,8,5]=>[6,2,8,4,5,1,7,3]=>[3,7,1,5,4,8,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[8,7,5,2,6,3,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,5,2,7,3,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,4,8,5,6,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,4,6,7,8,5,1,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,1,7,5,4,2,6,8]=>[6,2,7,5,4,1,3,8]=>[8,3,1,4,5,7,2,6]=>[[[.,[.,.]],[.,[.,[[.,.],.]]]],.]
[6,3,8,5,4,7,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,6,2,5,4,7,8,3]=>[1,8,3,5,4,6,7,2]=>[2,7,6,4,5,3,8,1]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]
[1,8,2,5,6,3,7,4]=>[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,2,6,4,8,5,7,3]=>[1,2,8,6,7,4,5,3]=>[3,5,4,7,6,8,2,1]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[7,8,3,1,4,2,5,6]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,8,1,5,2,3,6,7]=>[6,8,3,5,4,1,7,2]=>[2,7,1,4,5,3,8,6]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[7,4,1,5,2,3,6,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[5,6,1,8,4,3,2,7]=>[7,6,3,8,5,2,1,4]=>[4,1,2,5,8,3,6,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[5,1,8,6,4,3,2,7]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[5,1,6,3,8,7,2,4]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,1,8,7,4,3,2,5]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,1,2,5,4,8,6,3]=>[8,2,3,7,5,6,4,1]=>[1,4,6,5,7,3,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[1,2,7,5,8,3,6,4]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[4,1,6,3,7,5,2,8]=>[7,2,6,4,5,3,1,8]=>[8,1,3,5,4,6,2,7]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[1,3,6,7,8,5,2,4]=>[1,7,8,6,5,4,2,3]=>[3,2,4,5,6,8,7,1]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[1,2,6,4,7,8,5,3]=>[1,2,8,7,5,6,4,3]=>[3,4,6,5,7,8,2,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[4,1,6,3,7,8,2,5]=>[7,2,8,4,5,6,1,3]=>[3,1,6,5,4,8,2,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[3,1,6,4,8,2,7,5]=>[6,2,8,4,7,1,5,3]=>[3,5,1,7,4,8,2,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[7,8,4,1,6,3,2,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,5,1,8,4,3,2,6]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,5,1,7,4,3,2,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[4,1,6,8,3,7,2,5]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[5,4,6,1,3,8,2,7]=>[7,5,4,3,2,8,1,6]=>[6,1,8,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[1,3,5,7,2,6,8,4]=>[1,5,8,6,2,4,7,3]=>[3,7,4,2,6,8,5,1]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]
[1,3,5,7,4,6,8,2]=>[1,8,5,6,3,4,7,2]=>[2,7,4,3,6,5,8,1]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]
[1,3,5,7,4,6,2,8]=>[1,7,5,6,3,4,2,8]=>[8,2,4,3,6,5,7,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[1,3,5,7,4,2,6,8]=>[1,6,5,7,3,2,4,8]=>[8,4,2,3,7,5,6,1]=>[[[[.,.],[.,.]],[[.,[.,.]],.]],.]
[1,3,5,4,7,2,6,8]=>[1,6,4,3,7,2,5,8]=>[8,5,2,7,3,4,6,1]=>[[[[.,.],[.,[.,.]]],[[.,.],.]],.]
[1,3,5,4,7,8,2,6]=>[1,7,4,3,8,6,2,5]=>[5,2,6,8,3,4,7,1]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]
[1,3,5,4,7,2,8,6]=>[1,6,4,3,8,2,7,5]=>[5,7,2,8,3,4,6,1]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[1,3,5,7,4,2,8,6]=>[1,6,5,8,3,2,7,4]=>[4,7,2,3,8,5,6,1]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[1,3,5,7,4,8,2,6]=>[1,7,5,8,3,6,2,4]=>[4,2,6,3,8,5,7,1]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[1,3,5,7,4,8,6,2]=>[1,8,5,7,3,6,4,2]=>[2,4,6,3,7,5,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,3,5,7,8,4,6,2]=>[1,8,6,7,5,3,4,2]=>[2,4,3,5,7,6,8,1]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[1,3,5,2,7,8,6,4]=>[1,4,8,2,7,6,5,3]=>[3,5,6,7,2,8,4,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[1,3,5,7,2,8,6,4]=>[1,5,8,7,2,6,4,3]=>[3,4,6,2,7,8,5,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[1,3,5,7,8,2,6,4]=>[1,6,8,7,5,2,4,3]=>[3,4,2,5,7,8,6,1]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]
[3,5,1,6,2,8,7,4]=>[5,8,3,4,1,7,6,2]=>[2,6,7,1,4,3,8,5]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[2,6,1,7,4,3,8,5]=>[3,8,1,6,5,4,7,2]=>[2,7,4,5,6,1,8,3]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[1,4,7,3,5,2,8,6]=>[1,6,8,4,5,2,7,3]=>[3,7,2,5,4,8,6,1]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]
[1,3,7,5,2,4,8,6]=>[1,5,8,6,2,4,7,3]=>[3,7,4,2,6,8,5,1]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]
[2,5,7,4,3,8,1,6]=>[7,5,8,4,2,6,1,3]=>[3,1,6,2,4,8,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[2,5,3,7,4,8,1,6]=>[7,5,3,8,2,6,1,4]=>[4,1,6,2,8,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[2,4,7,3,1,8,6,5]=>[5,4,8,2,1,7,6,3]=>[3,6,7,1,2,8,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[1,4,6,3,8,2,7,5]=>[1,6,8,4,7,2,5,3]=>[3,5,2,7,4,8,6,1]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[1,3,5,2,8,7,6,4]=>[1,4,8,2,7,6,5,3]=>[3,5,6,7,2,8,4,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[1,4,7,3,8,2,6,5]=>[1,6,8,4,7,2,5,3]=>[3,5,2,7,4,8,6,1]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[2,5,1,7,8,4,6,3]=>[3,8,1,7,6,5,4,2]=>[2,4,5,6,7,1,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[3,2,6,7,8,1,5,4]=>[6,2,8,7,5,1,4,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[3,5,2,7,8,4,1,6]=>[7,6,3,8,5,2,1,4]=>[4,1,2,5,8,3,6,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[1,5,7,4,8,3,2,6]=>[1,7,8,6,5,4,2,3]=>[3,2,4,5,6,8,7,1]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[2,5,1,6,8,4,7,3]=>[3,8,1,6,7,4,5,2]=>[2,5,4,7,6,1,8,3]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[4,6,2,1,7,8,3,5]=>[7,8,4,3,5,6,1,2]=>[2,1,6,5,3,4,8,7]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]
[5,3,6,4,7,8,2,1]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[3,5,2,6,8,4,7,1]=>[8,6,3,4,7,2,5,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[2,5,4,6,8,7,1,3]=>[7,8,3,4,6,5,1,2]=>[2,1,5,6,4,3,8,7]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]
[1,3,6,2,8,7,5,4]=>[1,4,8,2,7,6,5,3]=>[3,5,6,7,2,8,4,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[2,5,7,4,3,8,6,1]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[1,5,7,2,4,8,6,3]=>[1,8,7,4,5,6,3,2]=>[2,3,6,5,4,7,8,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[4,6,3,7,2,8,5,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,3,6,7,8,2,5,1]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[2,5,4,7,8,6,1,3]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[3,2,6,7,8,5,1,4]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[1,3,7,2,8,6,5,4]=>[1,4,8,2,7,6,5,3]=>[3,5,6,7,2,8,4,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[5,1,6,8,2,4,3,7]=>[7,2,6,8,5,3,1,4]=>[4,1,3,5,8,6,2,7]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]
[5,3,7,8,2,4,1,6]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[8,5,3,7,2,4,1,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,2,4,7,3,1,5,6]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[2,4,7,8,3,1,5,6]=>[6,5,8,7,2,1,4,3]=>[3,4,1,2,7,8,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]
[6,5,3,4,2,8,1,7]=>[7,5,4,3,2,8,1,6]=>[6,1,8,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[5,2,4,3,8,1,6,7]=>[6,4,3,2,8,1,7,5]=>[5,7,1,8,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[3,2,4,8,1,5,6,7]=>[5,2,3,8,1,6,7,4]=>[4,7,6,1,8,3,2,5]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]
[3,2,4,6,8,1,5,7]=>[6,2,3,7,8,1,4,5]=>[5,4,1,8,7,3,2,6]=>[[[.,[[.,.],.]],.],[[[.,.],.],.]]
[8,1,5,7,3,2,4,6]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,4,6,7,2,3,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,6,7,8,2,3,1,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[7,4,6,8,2,3,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,2,4,8,3,1,5,6]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[5,3,8,7,2,4,1,6]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[2,4,8,7,3,1,5,6]=>[6,5,8,7,2,1,4,3]=>[3,4,1,2,7,8,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]
[4,6,8,7,2,3,1,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[8,7,4,6,2,3,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,6,8,7,2,3,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,4,8,7,2,3,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,1,7,4,2,8,6,5]=>[5,2,8,4,1,7,6,3]=>[3,6,7,1,4,8,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[3,2,8,4,1,7,6,5]=>[5,2,8,4,1,7,6,3]=>[3,6,7,1,4,8,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[7,6,4,8,2,3,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,7,6,8,2,3,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,7,6,8,2,3,1,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[8,6,4,7,2,3,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,2,3,7,4,1,6,5]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[2,3,7,8,4,1,6,5]=>[6,2,8,7,5,1,4,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[3,7,4,8,2,5,1,6]=>[7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[2,3,7,4,1,6,8,5]=>[5,2,8,4,1,6,7,3]=>[3,7,6,1,4,8,2,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[8,1,6,4,2,3,7,5]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,7,8,6,2,3,1,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[2,4,7,3,1,5,8,6]=>[5,4,8,2,1,6,7,3]=>[3,7,6,1,2,8,4,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[6,3,1,7,4,2,8,5]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[8,5,7,6,2,3,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,5,8,6,2,3,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,1,6,4,2,3,8,5]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[4,8,7,6,2,3,1,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[6,8,7,5,2,3,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,3,6,1,5,8,7,2]=>[8,4,5,2,3,7,6,1]=>[1,6,7,3,2,5,4,8]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[4,3,6,5,1,8,7,2]=>[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[4,6,3,5,1,8,7,2]=>[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[4,6,3,1,5,8,7,2]=>[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[2,6,5,3,1,8,7,4]=>[5,8,4,3,1,7,6,2]=>[2,6,7,1,3,4,8,5]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[2,6,5,1,8,7,3,4]=>[4,8,7,1,6,5,3,2]=>[2,3,5,6,1,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[2,6,5,8,1,7,3,4]=>[5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[2,6,5,8,1,3,7,4]=>[5,8,6,7,1,3,4,2]=>[2,4,3,1,7,6,8,5]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]
[2,6,5,8,3,1,7,4]=>[6,8,5,7,3,1,4,2]=>[2,4,1,3,7,5,8,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[2,6,5,3,8,1,7,4]=>[6,8,4,3,7,1,5,2]=>[2,5,1,7,3,4,8,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[4,6,1,5,8,3,7,2]=>[8,6,3,4,7,2,5,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[4,1,6,5,8,3,7,2]=>[8,2,6,4,7,3,5,1]=>[1,5,3,7,4,6,2,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[4,1,6,5,8,7,3,2]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[2,6,5,3,8,7,1,4]=>[7,8,4,3,6,5,1,2]=>[2,1,5,6,3,4,8,7]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]
[6,4,3,8,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,4,8,3,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,6,8,5,3,7,1,4]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[4,6,8,1,5,7,3,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,6,1,8,5,7,3,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,1,6,8,5,7,3,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,4,6,8,5,7,3,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,4,6,8,5,3,7,2]=>[1,8,6,7,5,3,4,2]=>[2,4,3,5,7,6,8,1]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[4,6,1,8,5,3,7,2]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[2,6,8,5,3,1,7,4]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[2,6,8,5,1,7,3,4]=>[5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[4,6,8,3,5,1,7,2]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[4,6,8,3,1,5,7,2]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[4,6,3,1,8,5,7,2]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[4,6,3,8,1,5,7,2]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[4,6,3,8,5,7,1,2]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[4,3,6,8,1,5,7,2]=>[8,5,6,7,2,3,4,1]=>[1,4,3,2,7,6,5,8]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]
[4,3,6,1,8,5,7,2]=>[8,4,6,2,7,3,5,1]=>[1,5,3,7,2,6,4,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[4,3,1,6,8,5,7,2]=>[8,3,2,6,7,4,5,1]=>[1,5,4,7,6,2,3,8]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]
[4,1,3,6,8,7,5,2]=>[8,2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[4,3,6,1,8,7,5,2]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[4,3,6,8,1,7,5,2]=>[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[6,5,2,8,7,3,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,5,2,8,7,1,3,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,2,5,8,7,1,3,4]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[6,2,5,8,7,3,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,6,3,8,1,7,5,2]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[4,6,3,1,8,7,5,2]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[4,1,6,3,8,7,5,2]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[1,4,6,3,8,7,5,2]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[4,1,6,8,3,7,5,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,6,1,8,3,7,5,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,6,8,1,3,7,5,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,2,8,5,7,3,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,2,8,5,7,1,3,4]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[2,4,8,7,1,5,3,6]=>[5,7,8,6,1,4,2,3]=>[3,2,4,1,6,8,7,5]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]]
[4,2,8,7,5,3,1,6]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[6,4,1,8,7,5,3,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,1,4,8,7,5,3,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,6,4,8,7,3,5,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,4,1,8,7,3,5,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,2,8,7,5,1,3,6]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[2,4,8,7,3,5,1,6]=>[7,5,8,6,2,4,1,3]=>[3,1,4,2,6,8,5,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[2,3,4,7,1,8,6,5]=>[5,2,3,8,1,7,6,4]=>[4,6,7,1,8,3,2,5]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]
[2,3,4,7,8,5,6,1]=>[8,2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[2,3,6,7,4,8,5,1]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[2,5,6,3,7,8,1,4]=>[7,8,4,3,5,6,1,2]=>[2,1,6,5,3,4,8,7]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]
[2,5,6,7,4,8,1,3]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[2,3,7,8,4,5,6,1]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,6,7,3,4,8,5,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[1,3,2,7,5,4,8,6]=>[1,3,2,8,6,5,7,4]=>[4,7,5,6,8,2,3,1]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[6,5,2,4,3,7,1,8]=>[7,5,4,3,2,6,1,8]=>[8,1,6,2,3,4,5,7]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[6,4,2,5,3,7,1,8]=>[7,5,4,3,2,6,1,8]=>[8,1,6,2,3,4,5,7]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[5,4,7,6,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[3,6,4,8,2,1,5,7]=>[6,7,5,8,3,1,2,4]=>[4,2,1,3,8,5,7,6]=>[[[.,.],[.,.]],[[.,[[.,.],.]],.]]
[4,6,2,3,7,5,1,8]=>[7,6,4,3,5,2,1,8]=>[8,1,2,5,3,4,6,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[4,7,2,3,6,5,1,8]=>[7,6,4,3,5,2,1,8]=>[8,1,2,5,3,4,6,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[4,7,2,3,5,6,1,8]=>[7,6,4,3,5,2,1,8]=>[8,1,2,5,3,4,6,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[5,3,2,7,4,6,1,8]=>[7,5,3,6,2,4,1,8]=>[8,1,4,2,6,3,5,7]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[5,3,2,6,4,7,1,8]=>[7,5,3,4,2,6,1,8]=>[8,1,6,2,4,3,5,7]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[4,6,2,3,5,7,1,8]=>[7,5,4,3,2,6,1,8]=>[8,1,6,2,3,4,5,7]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[3,5,2,1,6,8,4,7]=>[4,7,3,1,5,8,2,6]=>[6,2,8,5,1,3,7,4]=>[[[.,.],[[.,[.,.]],.]],[[.,.],.]]
[3,5,2,1,8,6,4,7]=>[4,7,3,1,8,6,2,5]=>[5,2,6,8,1,3,7,4]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]
[3,6,8,4,2,1,5,7]=>[6,7,8,5,4,1,2,3]=>[3,2,1,4,5,8,7,6]=>[[[.,.],.],[.,[.,[[[.,.],.],.]]]]
[4,3,2,6,1,8,5,7]=>[5,3,2,7,1,8,4,6]=>[6,4,8,1,7,2,3,5]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]
[6,8,2,3,4,1,7,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,1,8,2,3,5,7,6]=>[5,2,8,4,1,6,7,3]=>[3,7,6,1,4,8,2,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[2,3,1,8,4,5,7,6]=>[3,2,1,8,5,6,7,4]=>[4,7,6,5,8,1,2,3]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[7,8,1,4,3,5,2,6]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,1,2,3,4,6,8,5]=>[8,2,3,4,5,6,7,1]=>[1,7,6,5,4,3,2,8]=>[.,[[[[[[.,.],.],.],.],.],[.,.]]]
[6,1,2,3,4,8,7,5]=>[8,2,3,4,5,7,6,1]=>[1,6,7,5,4,3,2,8]=>[.,[[[[[.,.],.],.],.],[.,[.,.]]]]
[8,1,2,3,4,6,7,5]=>[8,2,3,4,5,7,6,1]=>[1,6,7,5,4,3,2,8]=>[.,[[[[[.,.],.],.],.],[.,[.,.]]]]
[8,7,1,4,3,5,2,6]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,8,2,1,5,6,4,7]=>[4,8,3,1,7,6,5,2]=>[2,5,6,7,1,3,8,4]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[3,8,2,1,6,5,4,7]=>[4,8,3,1,7,6,5,2]=>[2,5,6,7,1,3,8,4]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[1,7,8,3,5,4,2,6]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,1,8,3,5,2,6]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,4,1,7,3,5,2,6]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,8,4,6,2,1,5,7]=>[6,8,5,7,3,1,4,2]=>[2,4,1,3,7,5,8,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[8,4,2,5,3,1,6,7]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,5,2,4,3,1,6,7]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,3,2,5,4,1,6,7]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[4,3,2,5,1,8,6,7]=>[5,3,2,4,1,8,7,6]=>[6,7,8,1,4,2,3,5]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]
[3,5,2,4,1,8,6,7]=>[5,4,3,2,1,8,7,6]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[2,4,7,8,1,5,3,6]=>[5,7,8,6,1,4,2,3]=>[3,2,4,1,6,8,7,5]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]]
[1,8,7,3,5,4,2,6]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,2,8,4,5,1,6]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,7,8,4,3,5,1,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[7,1,8,3,5,4,2,6]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,8,2,3,4,6,1,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,7,1,3,4,8,2,5]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[6,8,1,3,4,7,2,5]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,7,2,3,4,6,8,5]=>[1,8,3,4,5,6,7,2]=>[2,7,6,5,4,3,8,1]=>[[.,.],[[[[[.,.],.],.],.],[.,.]]]
[7,6,2,3,4,1,8,5]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,6,2,3,4,1,7,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,1,7,3,5,4,2,6]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,3,2,7,4,5,1,6]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,7,2,3,4,1,8,5]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,6,2,3,4,8,1,5]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,6,2,3,4,7,1,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,3,4,8,7,5,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,7,3,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,7,5,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,7,3,4,6,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,4,2,1,6,7,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,8,4,1,2,6,7,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,3,7,2,6,1,8,4]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,2,8,1,6,3,7,4]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[5,8,2,1,4,7,6,3]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[4,8,2,5,1,7,6,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,8,4,1,2,6,5,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,8,1,5,2,7,6,3]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[5,8,1,2,4,7,6,3]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[5,2,8,3,6,7,1,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,8,7,6,2,4,1,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[2,8,7,6,4,1,3,5]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[7,8,2,6,5,1,3,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,8,7,6,4,2,3,5]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,8,7,6,3,1,4,5]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[1,8,7,6,2,4,3,5]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,7,6,3,4,2,5]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,8,1,4,5,6,7,3]=>[3,8,1,7,5,6,4,2]=>[2,4,6,5,7,1,8,3]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[2,1,7,3,6,5,8,4]=>[2,1,8,4,6,5,7,3]=>[3,7,5,6,4,8,1,2]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[6,1,2,8,5,7,3,4]=>[8,2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[6,2,1,8,5,7,3,4]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[6,3,1,8,5,7,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,4,2,1,7,5,8,3]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[6,1,3,8,5,2,7,4]=>[8,2,6,7,5,3,4,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[2,3,7,1,6,8,5,4]=>[4,2,8,1,7,6,5,3]=>[3,5,6,7,1,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[1,3,7,2,6,8,5,4]=>[1,4,8,2,7,6,5,3]=>[3,5,6,7,2,8,4,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[7,8,2,6,5,3,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,2,6,7,5,8,1,4]=>[7,2,8,5,4,6,1,3]=>[3,1,6,4,5,8,2,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[2,8,7,6,4,3,1,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[3,8,7,6,1,2,5,4]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[3,8,7,6,2,1,5,4]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[4,8,7,6,2,1,3,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[4,8,7,6,1,3,2,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[3,8,7,6,4,1,2,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[7,8,3,6,5,1,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,3,7,5,6,8,1,4]=>[7,2,8,5,4,6,1,3]=>[3,1,6,4,5,8,2,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[3,8,7,6,4,2,1,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[5,1,4,6,8,2,3,7]=>[7,2,6,4,8,3,1,5]=>[5,1,3,8,4,6,2,7]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]
[4,3,7,2,6,5,1,8]=>[7,4,6,2,5,3,1,8]=>[8,1,3,5,2,6,4,7]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[3,4,6,1,5,7,2,8]=>[7,4,5,2,3,6,1,8]=>[8,1,6,3,2,5,4,7]=>[[.,[[[.,.],[[.,.],.]],[.,.]]],.]
[1,6,8,5,7,3,4,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,4,1,5,8,6,3,7]=>[3,7,1,4,8,6,2,5]=>[5,2,6,8,4,1,7,3]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]
[4,6,1,2,5,8,3,7]=>[7,5,3,4,2,8,1,6]=>[6,1,8,2,4,3,5,7]=>[[.,[.,[[.,.],[.,.]]]],[[.,.],.]]
[5,6,7,2,1,4,8,3]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,8,6,5,1,2,4,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,3,6,5,7,8,2,4]=>[1,7,8,4,5,6,2,3]=>[3,2,6,5,4,8,7,1]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]
[7,4,8,5,3,1,6,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,5,2,4,1,7,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,3,1,6,8,5,7,4]=>[3,2,1,8,7,6,5,4]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[7,3,2,5,1,4,8,6]=>[8,5,3,6,2,4,7,1]=>[1,7,4,2,6,3,5,8]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[7,1,4,2,3,6,8,5]=>[8,2,5,4,3,6,7,1]=>[1,7,6,3,4,5,2,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[1,5,8,3,4,6,7,2]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[2,3,8,1,6,5,4,7]=>[4,2,8,1,7,6,5,3]=>[3,5,6,7,1,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[8,1,4,7,2,5,3,6]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,5,2,4,1,7,8,6]=>[5,4,3,2,1,8,7,6]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[3,4,7,8,6,2,1,5]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[3,4,8,6,2,7,1,5]=>[7,5,8,6,2,4,1,3]=>[3,1,4,2,6,8,5,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[5,8,2,1,6,7,3,4]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[5,7,2,8,6,4,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,3,2,8,6,4,1,5]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,7,8,4,6,3,1,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[1,4,5,7,2,6,8,3]=>[1,8,5,6,3,4,7,2]=>[2,7,4,3,6,5,8,1]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]
[7,3,5,2,6,1,8,4]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,5,2,3,6,1,7,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,1,6,3,5,7,2,4]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,8,6,4,3,7,1,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[8,3,2,6,4,7,1,5]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,3,8,7,6,5,1,4]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[1,2,8,7,3,6,5,4]=>[1,2,8,7,5,6,4,3]=>[3,4,6,5,7,8,2,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[4,2,8,7,3,6,1,5]=>[7,5,8,6,2,4,1,3]=>[3,1,4,2,6,8,5,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[4,5,8,7,1,2,6,3]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[1,5,8,7,3,2,6,4]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,5,8,7,3,2,1,6]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[2,6,8,1,7,5,4,3]=>[4,8,7,1,6,5,3,2]=>[2,3,5,6,1,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[3,6,8,4,7,2,1,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[2,5,8,3,7,6,1,4]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[1,5,8,3,7,2,6,4]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,8,2,3,7,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,6,8,4,2,7,5,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,5,8,4,2,7,6,3]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,5,8,2,3,7,6,4]=>[1,8,7,4,5,6,3,2]=>[2,3,6,5,4,7,8,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[2,1,8,4,3,7,6,5]=>[2,1,8,5,4,7,6,3]=>[3,6,7,4,5,8,1,2]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[2,5,8,4,3,7,1,6]=>[7,5,8,4,2,6,1,3]=>[3,1,6,2,4,8,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[5,6,8,4,1,2,7,3]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[5,6,8,1,3,2,7,4]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[1,6,8,4,3,2,7,5]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,8,4,3,2,1,7]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[7,1,2,8,6,5,4,3]=>[8,2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[7,1,4,8,6,2,5,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,3,1,8,6,2,5,4]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[7,2,4,8,3,6,1,5]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[7,1,4,8,3,2,6,5]=>[8,2,6,7,5,3,4,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[7,4,5,8,3,2,1,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,6,2,8,7,5,4,3]=>[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,6,4,8,7,2,5,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,6,4,8,7,2,1,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[3,2,5,8,7,6,1,4]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[3,1,5,8,7,2,6,4]=>[6,2,8,7,5,1,4,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[1,6,4,8,2,7,5,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,4,5,8,2,7,6,3]=>[1,8,5,7,3,6,4,2]=>[2,4,6,3,7,5,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[2,4,5,8,3,7,1,6]=>[7,5,3,8,2,6,1,4]=>[4,1,6,2,8,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[4,6,5,8,1,2,7,3]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[1,6,4,8,3,2,7,5]=>[1,8,6,7,5,3,4,2]=>[2,4,3,5,7,6,8,1]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[1,4,5,8,3,2,7,6]=>[1,6,5,8,3,2,7,4]=>[4,7,2,3,8,5,6,1]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[7,6,1,4,8,2,5,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,6,1,3,8,2,5,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,6,3,4,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,2,5,1,8,6,4,3]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,2,5,3,8,6,1,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,2,1,4,8,6,5,3]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[7,2,1,3,8,6,5,4]=>[8,3,2,4,7,6,5,1]=>[1,5,6,7,4,2,3,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[7,2,3,4,8,6,1,5]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[7,3,5,4,8,2,1,6]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,6,5,1,8,7,4,3]=>[4,8,7,1,6,5,3,2]=>[2,3,5,6,1,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[2,3,5,4,8,7,1,6]=>[7,2,4,3,8,6,1,5]=>[5,1,6,8,3,4,2,7]=>[[.,[[.,.],[.,.]]],[.,[[.,.],.]]]
[1,3,5,4,8,2,7,6]=>[1,6,4,3,8,2,7,5]=>[5,7,2,8,3,4,6,1]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[3,6,5,4,8,2,1,7]=>[7,6,4,3,8,2,1,5]=>[5,1,2,8,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[7,6,5,2,3,8,1,4]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,6,1,4,2,8,5,3]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[7,6,1,2,3,8,5,4]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[7,6,2,4,3,8,1,5]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,1,5,4,2,8,6,3]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[7,1,5,2,3,8,6,4]=>[8,2,7,4,5,6,3,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[7,1,2,4,3,8,6,5]=>[8,2,3,5,4,7,6,1]=>[1,6,7,4,5,3,2,8]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[2,6,5,4,3,8,1,7]=>[7,5,4,3,2,8,1,6]=>[6,1,8,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[7,6,1,4,3,2,8,5]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[7,1,5,4,3,2,8,6]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[3,4,2,6,7,8,1,5]=>[7,3,2,8,5,6,1,4]=>[4,1,6,5,8,2,3,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[3,1,4,2,6,8,7,5]=>[4,2,3,1,8,7,6,5]=>[5,6,7,8,1,3,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]
[8,3,4,2,6,1,7,5]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[2,6,7,3,5,4,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[2,7,8,3,5,4,1,6]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[4,7,1,2,8,5,3,6]=>[7,8,3,4,6,5,1,2]=>[2,1,5,6,4,3,8,7]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]
[4,8,1,2,7,5,3,6]=>[7,8,3,4,6,5,1,2]=>[2,1,5,6,4,3,8,7]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]
[6,7,3,2,8,1,4,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,3,4,2,6,1,8,5]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[7,4,1,2,8,5,3,6]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[8,7,4,2,1,5,3,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,4,1,2,6,5,3,8]=>[7,6,3,4,5,2,1,8]=>[8,1,2,5,4,3,6,7]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[7,4,3,1,5,6,8,2]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[6,7,4,1,5,8,3,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,7,5,1,6,8,3,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,5,3,1,7,6,8,2]=>[8,4,3,2,6,5,7,1]=>[1,7,5,6,2,3,4,8]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[4,6,1,2,7,5,3,8]=>[7,6,3,4,5,2,1,8]=>[8,1,2,5,4,3,6,7]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[8,4,3,1,5,6,7,2]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[4,5,3,1,8,6,7,2]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[4,8,5,6,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,1,3,4,8,6,7,2]=>[8,2,4,3,7,6,5,1]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[5,4,3,8,1,6,7,2]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[8,5,3,4,1,6,7,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,4,8,2,1,5,3,7]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[6,7,3,2,5,1,4,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,8,3,2,5,1,4,7]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[5,7,1,4,6,8,3,2]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[6,1,4,2,7,5,3,8]=>[7,2,6,4,5,3,1,8]=>[8,1,3,5,4,6,2,7]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[5,4,3,7,1,6,8,2]=>[8,5,3,6,2,4,7,1]=>[1,7,4,2,6,3,5,8]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[6,7,5,4,1,8,3,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,6,4,2,1,5,3,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,2,7,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,2,8,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,1,9,7,6,5,4,3,2]=>[9,2,8,7,6,5,4,3,1]=>[1,3,4,5,6,7,8,2,9]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,10,9,8,7,6,5,4,1,3]=>[9,10,8,7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7,8,10,9]=>[[.,.],[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]
[9,2,8,7,6,5,4,1,3]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[3,9,8,7,6,5,4,1,2]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[8,7,2,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,2,8,7,6,5,1,4]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[4,8,7,6,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,6,1,5,4,3,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,3,8,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,2,9,7,6,5,4,3,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,1,10,8,7,6,5,4,3,2]=>[10,2,9,8,7,6,5,4,3,1]=>[1,3,4,5,6,7,8,9,2,10]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[4,8,5,7,6,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,8,7,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,8,7,6,3,5,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,6,1,3,2,4,7]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,6,1,5,3,2,4,7]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,8,1,5,3,2,4,6]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,1,7,5,3,2,4,6]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,6,1,4,5,2,3,7]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,6,3,1,5,2,4,7]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,4,6,1,5,2,3,7]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,6,2,1,5,4,3,7]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[8,5,2,6,1,4,3,7]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[8,5,2,1,7,4,3,6]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[7,8,2,1,5,4,3,6]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[7,8,3,1,5,2,4,6]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,2,7,5,1,3,4,6]=>[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[8,4,1,7,5,2,3,6]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,2,7,1,5,4,3,6]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,2,6,1,7,4,3,5]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,1,7,4,3,2,6,5]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,5,7,3,2,6,4]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,7,8,1,3,2,6,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,2,6,1,5,7,3,4]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[5,8,1,6,7,2,3,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,7,6,1,8,2,3,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,7,2,5,1,8,3,4]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,5,1,6,8,2,3,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,5,7,1,8,2,3,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,7,3,8,1,2,4,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,5,4,1,8,2,3,6]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,6,1,4,8,2,3,5]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,1,6,4,7,2,3,5]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,5,8,1,3,2,4,6]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,8,4,1,3,2,5,6]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,3,7,4,1,2,5,6]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[8,5,1,7,3,2,4,6]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,8,1,7,3,2,4,5]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,1,8,4,3,6,2,5]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,3,1,8,6,4,2,5]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,3,1,7,4,6,2,5]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,4,5,1,7,2,3,6]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,6,8,1,7,2,3,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,5,8,1,2,7,3,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,3,1,8,5,6,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,2,7,8,3,1,5,4]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[5,8,1,7,3,2,6,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,4,1,7,3,2,6,5]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[8,3,4,7,1,2,6,5]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[8,2,7,4,1,3,6,5]=>[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[7,4,8,2,1,3,6,5]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[7,4,3,8,1,2,6,5]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[8,2,3,6,7,1,5,4]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[2,6,8,7,1,5,4,3]=>[5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[7,8,5,2,3,6,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,5,2,3,1,6,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,5,2,3,4,7,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,5,2,6,8,1,4,7]=>[6,7,3,4,8,1,2,5]=>[5,2,1,8,4,3,7,6]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]
[3,5,2,4,6,8,1,7]=>[7,4,3,2,5,8,1,6]=>[6,1,8,5,2,3,4,7]=>[[.,[[.,[.,[.,.]]],.]],[[.,.],.]]
[2,4,5,7,3,6,8,1]=>[8,5,3,6,2,4,7,1]=>[1,7,4,2,6,3,5,8]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[2,4,5,3,6,8,1,7]=>[7,4,3,2,5,8,1,6]=>[6,1,8,5,2,3,4,7]=>[[.,[[.,[.,[.,.]]],.]],[[.,.],.]]
[4,3,5,2,6,8,1,7]=>[7,4,3,2,5,8,1,6]=>[6,1,8,5,2,3,4,7]=>[[.,[[.,[.,[.,.]]],.]],[[.,.],.]]
[4,3,5,7,2,8,1,6]=>[7,5,3,8,2,6,1,4]=>[4,1,6,2,8,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[4,3,5,7,2,6,8,1]=>[8,5,3,6,2,4,7,1]=>[1,7,4,2,6,3,5,8]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[4,6,3,7,2,5,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,6,3,1,7,8,2,5]=>[7,8,4,3,5,6,1,2]=>[2,1,6,5,3,4,8,7]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]
[5,7,1,3,4,8,2,6]=>[7,8,3,5,4,6,1,2]=>[2,1,6,4,5,3,8,7]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[5,7,1,3,4,6,8,2]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[4,5,7,1,3,6,8,2]=>[8,5,6,4,2,3,7,1]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[4,3,6,7,1,5,8,2]=>[8,5,6,4,2,3,7,1]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[4,6,3,5,1,7,8,2]=>[8,5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[4,6,3,5,7,2,8,1]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[3,5,6,4,1,7,8,2]=>[8,5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[3,1,5,6,7,4,8,2]=>[8,2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[5,1,6,7,3,4,8,2]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[6,4,7,1,3,5,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[2,6,7,4,5,8,1,3]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[5,3,6,1,2,7,8,4]=>[8,5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[3,5,2,6,1,7,8,4]=>[5,8,3,4,1,6,7,2]=>[2,7,6,1,4,3,8,5]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]
[3,5,2,6,7,4,8,1]=>[8,6,3,4,5,2,7,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[5,2,3,6,7,4,8,1]=>[8,6,3,4,5,2,7,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[5,2,3,6,1,7,8,4]=>[8,5,3,4,2,6,7,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]
[5,2,6,1,3,7,8,4]=>[8,4,5,2,3,6,7,1]=>[1,7,6,3,2,5,4,8]=>[.,[[[[.,.],[[.,.],.]],.],[.,.]]]
[4,2,6,7,3,5,8,1]=>[8,5,6,4,2,3,7,1]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[6,3,7,2,4,5,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,7,2,4,8,1,5,6]=>[6,8,3,4,7,1,5,2]=>[2,5,1,7,4,3,8,6]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[7,2,4,6,8,1,3,5]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[7,1,3,4,6,8,2,5]=>[8,2,7,4,5,6,3,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[3,7,2,4,6,8,1,5]=>[7,8,3,4,5,6,1,2]=>[2,1,6,5,4,3,8,7]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]
[3,5,7,2,6,8,1,4]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[6,3,7,2,5,8,1,4]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,3,5,7,2,8,1,4]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,3,5,7,2,4,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,2,4,5,7,3,8,1]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[6,2,4,5,1,7,8,3]=>[8,5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[4,7,1,2,5,6,8,3]=>[8,6,3,4,5,2,7,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[4,6,7,1,2,5,8,3]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,6,2,4,7,3,8,1]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[5,4,2,6,7,3,8,1]=>[8,6,3,4,5,2,7,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[5,4,2,6,1,7,8,3]=>[8,5,3,4,2,6,7,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]
[1,5,4,6,2,7,8,3]=>[1,8,5,4,3,6,7,2]=>[2,7,6,3,4,5,8,1]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[5,6,4,1,2,7,8,3]=>[8,5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[6,4,5,1,2,7,8,3]=>[8,5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[6,3,5,1,7,8,2,4]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[6,5,7,2,8,1,3,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,5,7,1,3,4,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,6,4,7,1,3,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,4,6,3,1,7,8,2]=>[8,5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[7,5,3,2,4,8,1,6]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,4,5,2,6,1,3,7]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,5,4,2,1,6,3,7]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,5,3,4,1,6,2,7]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,4,5,3,1,6,2,7]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,5,4,2,1,8,3,6]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,5,4,2,1,6,8,3]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,4,5,3,1,6,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,4,3,5,6,1,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,6,3,7,4,1,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,6,7,3,1,4,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,7,3,4,1,5,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,7,4,2,1,5,8,3]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,6,7,3,1,8,2,4]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,6,3,7,8,1,2,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,6,3,7,2,4,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,6,7,2,3,8,1,4]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,4,5,2,8,1,3,6]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,7,3,2,4,8,1,5]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,6,4,2,1,3,8,5]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,6,3,4,1,2,8,5]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,6,3,2,4,1,8,5]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,7,3,2,5,1,8,4]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,5,3,2,7,8,1,4]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[6,5,3,2,7,4,8,1]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[6,4,5,2,7,3,8,1]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[6,4,5,2,7,8,1,3]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[7,4,5,2,6,1,8,3]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,4,5,6,1,2,8,3]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,5,6,2,1,3,8,4]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,7,3,5,1,2,8,4]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,6,7,4,1,2,8,3]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,6,7,2,4,1,8,3]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,6,4,2,7,8,1,3]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[6,5,7,2,1,8,3,4]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,5,7,2,1,4,8,3]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,4,6,7,3,1,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,7,8,3,6,4,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,7,8,5,6,4,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,7,8,5,6,1,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,7,8,5,6,3,4,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,7,5,8,6,3,4,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,7,5,8,6,1,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,7,5,8,6,4,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,7,3,8,6,4,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,3,8,5,6,4,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,3,5,8,6,4,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,5,7,8,6,4,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,5,7,8,6,3,4,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,5,7,8,3,6,4,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,5,7,8,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,3,7,8,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,3,5,8,6,1,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,3,8,5,6,1,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,1,5,6,3,4,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,1,8,5,6,3,4,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,1,5,8,6,3,4,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,1,7,8,3,6,4,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,1,7,8,5,6,4,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,3,7,8,5,6,4,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,1,7,5,8,6,4,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,1,7,3,8,6,4,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,1,5,3,8,6,4,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,1,5,8,3,6,4,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,8,1,5,3,6,4,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,8,3,5,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,3,5,8,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,3,7,1,8,6,4,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,5,7,1,8,6,4,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,7,5,3,8,6,4,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,3,1,8,6,4,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,7,3,8,6,1,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,7,5,8,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,7,5,8,3,6,4,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,7,8,5,3,6,4,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,7,8,5,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,7,8,3,6,1,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,7,8,6,3,1,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,5,8,6,1,3,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,7,8,1,6,3,4,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,7,8,1,3,6,4,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,7,8,1,5,6,4,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,7,8,3,5,6,4,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,7,3,8,5,6,4,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,7,1,8,5,6,4,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,7,1,8,3,6,4,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,7,1,8,6,3,4,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,5,1,8,6,3,4,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,5,8,1,6,3,4,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,8,5,1,6,3,4,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,8,5,1,3,6,4,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,5,8,1,3,6,4,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,5,1,8,3,6,4,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,5,1,3,8,6,4,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,7,1,3,8,6,4,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,7,1,5,8,6,4,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,7,3,5,8,6,4,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,5,3,7,8,6,4,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,5,1,7,8,6,4,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,3,1,7,8,6,4,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,3,1,5,8,6,4,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,3,1,8,5,6,4,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,3,8,1,5,6,4,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,8,3,1,5,6,4,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,8,1,3,5,6,4,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,1,8,3,5,6,4,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,1,3,8,5,6,4,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,1,3,5,8,6,4,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,1,5,7,8,6,4,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,7,3,4,6,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,7,3,4,8,6,1,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,7,3,4,8,1,6,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,7,3,4,1,8,6,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,7,3,4,1,6,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,7,3,4,6,1,2,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,3,5,6,1,2,8,4]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,7,3,1,4,6,2,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,7,3,1,4,6,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,7,3,1,4,8,6,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,7,3,1,4,8,2,6]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[5,3,7,4,1,2,8,6]=>[6,5,8,4,2,1,7,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[5,3,7,4,1,2,6,8]=>[6,5,7,4,2,1,3,8]=>[8,3,1,2,4,7,5,6]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[5,3,7,1,4,2,6,8]=>[6,5,7,4,2,1,3,8]=>[8,3,1,2,4,7,5,6]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[5,3,7,1,4,2,8,6]=>[6,5,8,4,2,1,7,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[3,7,5,1,2,8,6,4]=>[5,8,7,4,1,6,3,2]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[7,8,3,5,1,2,6,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,3,8,5,1,2,6,4]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[7,3,5,8,1,2,6,4]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[3,7,5,1,2,6,8,4]=>[5,8,6,4,1,3,7,2]=>[2,7,3,1,4,6,8,5]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]
[6,1,4,3,5,2,8,7]=>[6,2,5,4,3,1,8,7]=>[7,8,1,3,4,5,2,6]=>[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]
[5,4,7,8,6,1,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,5,6,2,8,3,1,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,7,2,5,8,3,1,6]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[6,2,4,5,1,3,8,7]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[5,1,4,6,3,2,8,7]=>[6,2,5,4,3,1,8,7]=>[7,8,1,3,4,5,2,6]=>[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]
[3,5,6,2,4,1,8,7]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[3,8,6,7,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,2,7,8,3,4,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,5,3,4,8,1,7,6]=>[6,4,3,2,8,1,7,5]=>[5,7,1,8,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[8,7,1,2,5,3,4,6]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[5,1,8,2,3,4,7,6]=>[6,2,8,4,5,1,7,3]=>[3,7,1,5,4,8,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[5,4,7,6,2,8,1,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,7,8,1,5,4,6,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,1,3,4,6,8,5,2]=>[8,2,7,4,5,6,3,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[8,3,6,5,7,1,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,7,1,4,6,2,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,7,6,1,8,3,5,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,7,2,6,3,8,5,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,1,8,4,6,7,3,5]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[4,7,8,6,3,1,2,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[3,8,1,5,6,7,2,4]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[6,7,2,4,8,5,3,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,8,3,6,7,5,1,4]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[8,2,1,7,6,3,5,4]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[3,2,4,5,8,1,7,6]=>[6,2,3,4,8,1,7,5]=>[5,7,1,8,4,3,2,6]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]
[7,4,6,3,2,1,8,5]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,7,3,2,1,8,6,5]=>[5,8,4,3,1,7,6,2]=>[2,6,7,1,3,4,8,5]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[6,4,7,5,2,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,4,8,1,7,3,2,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,8,7,2,3,1,5,6]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[4,2,3,1,8,7,5,6]=>[4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[7,6,8,1,3,5,2,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,7,5,2,3,1,8,4]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,7,2,6,5,1,8,3]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,4,2,1,8,5,7,3]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[7,2,1,5,6,8,4,3]=>[8,3,2,7,5,6,4,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[8,7,2,6,4,1,5,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,8,2,5,3,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,1,5,7,8,4,6,3]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,5,7,8,3,6,1,4]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[6,4,1,5,7,2,8,3]=>[8,6,3,4,5,2,7,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[7,4,8,1,2,5,6,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,2,7,8,6,3,5,1]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[6,1,7,4,3,2,8,5]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[6,8,3,4,2,1,7,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,2,6,1,5,7,8,3]=>[8,4,5,2,3,6,7,1]=>[1,7,6,3,2,5,4,8]=>[.,[[[[.,.],[[.,.],.]],.],[.,.]]]
[2,4,6,7,3,5,8,1]=>[8,5,6,4,2,3,7,1]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[6,5,8,3,7,4,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,1,4,8,3,5,6,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,8,7,5,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,6,3,1,5,7,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,4,8,2,5,7,6,1]=>[8,4,7,2,5,6,3,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[3,6,8,7,2,5,1,4]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[3,5,7,2,8,6,1,4]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[2,5,7,4,8,6,1,3]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[2,6,3,7,5,1,8,4]=>[6,8,3,5,4,1,7,2]=>[2,7,1,4,5,3,8,6]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[2,6,4,8,7,5,1,3]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[6,3,7,2,8,5,1,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,6,2,5,8,7,1,4]=>[7,8,3,4,6,5,1,2]=>[2,1,5,6,4,3,8,7]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]
[5,2,8,4,7,6,1,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,2,4,8,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,2,4,8,7,5,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,4,5,8,7,6,1,3]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[1,3,4,6,2,8,7,5]=>[1,5,3,8,2,7,6,4]=>[4,6,7,2,8,3,5,1]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[4,2,7,3,8,1,6,5]=>[6,4,8,2,7,1,5,3]=>[3,5,1,7,2,8,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[2,5,1,4,7,3,8,6]=>[3,6,1,4,8,2,7,5]=>[5,7,2,8,4,1,6,3]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]
[6,1,3,8,7,2,5,4]=>[8,2,6,7,5,3,4,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[3,1,5,6,2,8,7,4]=>[5,2,8,4,1,7,6,3]=>[3,6,7,1,4,8,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[1,2,4,6,3,8,7,5]=>[1,2,5,8,3,7,6,4]=>[4,6,7,3,8,5,2,1]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]
[4,1,5,2,8,7,6,3]=>[8,2,4,3,7,6,5,1]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[7,1,4,2,8,6,5,3]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[5,1,3,7,2,8,6,4]=>[8,2,5,7,3,6,4,1]=>[1,4,6,3,7,5,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[4,1,5,3,2,8,7,6]=>[5,2,4,3,1,8,7,6]=>[6,7,8,1,3,4,2,5]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]
[2,6,1,4,3,8,7,5]=>[3,8,1,5,4,7,6,2]=>[2,6,7,4,5,1,8,3]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[3,6,2,4,1,8,7,5]=>[5,8,3,4,1,7,6,2]=>[2,6,7,1,4,3,8,5]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[7,2,3,5,1,8,6,4]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[7,3,4,1,8,6,5,2]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[6,3,4,1,8,7,5,2]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[3,4,5,1,8,7,6,2]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[1,6,4,2,8,7,5,3]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[5,6,3,1,8,7,4,2]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[7,4,2,5,1,8,6,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,3,6,2,8,1,7,4]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[4,6,2,7,5,1,8,3]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[1,5,8,3,2,7,6,4]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[2,5,8,3,1,7,6,4]=>[5,8,7,4,1,6,3,2]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[4,5,8,2,1,7,6,3]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[3,6,2,5,1,4,8,7]=>[5,6,3,4,1,2,8,7]=>[7,8,2,1,4,3,6,5]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]
[5,2,8,4,1,3,7,6]=>[6,5,8,4,2,1,7,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[2,4,8,7,1,3,6,5]=>[5,6,8,7,1,2,4,3]=>[3,4,2,1,7,8,6,5]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]
[2,5,8,1,3,7,6,4]=>[4,8,7,1,5,6,3,2]=>[2,3,6,5,1,7,8,4]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[1,3,8,2,4,7,6,5]=>[1,4,8,2,5,7,6,3]=>[3,6,7,5,2,8,4,1]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]
[3,4,1,7,2,8,6,5]=>[5,3,2,8,1,7,6,4]=>[4,6,7,1,8,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[3,5,2,1,7,4,8,6]=>[4,6,3,1,8,2,7,5]=>[5,7,2,8,1,3,6,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[6,3,1,7,2,8,5,4]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[7,5,1,2,8,6,4,3]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[4,6,1,2,8,7,5,3]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[1,6,2,3,8,7,5,4]=>[1,8,3,4,7,6,5,2]=>[2,5,6,7,4,3,8,1]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[1,5,2,3,8,7,6,4]=>[1,8,3,4,7,6,5,2]=>[2,5,6,7,4,3,8,1]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[4,5,1,2,8,7,6,3]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[6,4,1,2,8,7,5,3]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[7,4,1,2,8,6,5,3]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[5,3,1,7,2,8,6,4]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[5,2,8,1,3,7,6,4]=>[8,4,7,2,5,6,3,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[4,1,2,8,3,7,6,5]=>[5,2,3,8,1,7,6,4]=>[4,6,7,1,8,3,2,5]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]
[4,7,5,6,8,3,1,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,6,4,7,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,5,2,6,4,1,3,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,6,3,7,5,8,4,2]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,3,7,4,5,8,6,2]=>[1,8,7,4,5,6,3,2]=>[2,3,6,5,4,7,8,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[7,2,6,3,4,1,5,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,3,7,4,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,4,7,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,7,5,6,3,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,8,7,6,4,5,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,5,2,1,4,3,7]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,5,3,2,1,4,7]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[2,7,6,4,5,1,3,8]=>[6,7,5,4,3,1,2,8]=>[8,2,1,3,4,5,7,6]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[5,7,2,6,4,1,3,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,1,3,7,5,8,4,2]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[4,1,7,3,6,8,5,2]=>[8,2,7,4,5,6,3,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[8,1,6,4,3,7,5,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,1,7,4,8,6,3,5]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[1,8,6,3,7,5,4,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,2,7,3,6,5,4]=>[1,8,3,7,5,6,4,2]=>[2,4,6,5,7,3,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[2,1,3,8,4,7,5,6]=>[2,1,3,8,5,7,6,4]=>[4,6,7,5,8,3,1,2]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]
[8,1,2,7,4,3,6,5]=>[8,2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[5,3,1,6,8,4,7,2]=>[8,6,3,4,7,2,5,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[6,2,8,7,1,4,3,5]=>[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[8,7,2,1,5,4,3,6]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[2,4,8,3,1,5,6,7]=>[5,4,8,2,1,6,7,3]=>[3,7,6,1,2,8,4,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[3,4,2,7,1,5,6,8]=>[5,3,2,7,1,6,4,8]=>[8,4,6,1,7,2,3,5]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[4,7,3,8,2,1,5,6]=>[6,8,5,7,3,1,4,2]=>[2,4,1,3,7,5,8,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[5,2,7,3,1,4,6,8]=>[6,5,7,4,2,1,3,8]=>[8,3,1,2,4,7,5,6]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[8,3,7,2,1,5,4,6]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[1,3,7,2,8,4,6,5]=>[1,4,8,2,7,6,5,3]=>[3,5,6,7,2,8,4,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[1,4,2,5,8,6,7,3]=>[1,8,3,4,7,6,5,2]=>[2,5,6,7,4,3,8,1]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[6,5,3,8,2,1,4,7]=>[7,6,5,8,3,2,1,4]=>[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[5,4,6,2,7,1,3,8]=>[7,6,4,3,5,2,1,8]=>[8,1,2,5,3,4,6,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[7,6,3,1,8,4,5,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,6,2,1,8,5,3,4]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[1,7,5,8,6,4,3,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,5,1,2,8,3,7,4]=>[8,6,3,4,7,2,5,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[8,6,1,4,3,7,5,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,8,4,1,3,7,5,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,5,7,1,3,8,4,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,8,3,1,7,4,6,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,3,1,7,5,4,6,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,3,8,7,4,6,5,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,2,8,7,6,3,5,4]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[8,2,1,7,6,4,3,5]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[2,3,1,8,7,4,5,6]=>[3,2,1,8,7,6,5,4]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[2,4,1,8,5,7,3,6]=>[3,7,1,8,5,6,2,4]=>[4,2,6,5,8,1,7,3]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[5,8,2,1,7,6,3,4]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[6,2,7,1,8,5,3,4]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,7,1,6,5,4,3,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,1,8,3,6,5,4,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,1,8,7,5,6,3,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,2,3,4,5,9,6,7]=>[9,2,3,4,5,6,8,7,1]=>[1,7,8,6,5,4,3,2,9]=>[.,[[[[[[.,.],.],.],.],.],[.,[.,.]]]]
[2,1,7,8,4,6,3,5]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[3,5,8,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,2,7,1,6,4,3]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[2,1,6,4,5,8,3,7]=>[2,1,7,5,4,8,3,6]=>[6,3,8,4,5,7,1,2]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]
[8,6,3,7,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,6,3,8,5,2,1,7]=>[7,6,5,8,3,2,1,4]=>[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[4,6,3,7,5,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,5,7,8,2,6,1,4]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[5,6,2,4,1,3,8,7]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[7,6,3,8,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,2,3,4,6,1,5,7]=>[8,6,3,4,7,2,5,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[7,2,3,4,6,1,8,5]=>[8,6,3,4,5,2,7,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[8,2,3,4,7,5,1,6]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[7,2,3,4,6,8,5,1]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[7,8,3,6,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,2,3,6,1,5,8,7]=>[5,3,2,6,1,4,8,7]=>[7,8,4,1,6,2,3,5]=>[[[.,[.,[.,.]]],[[.,.],.]],[.,.]]
[4,8,3,7,5,1,6,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,2,3,4,7,8,6,1]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[8,2,3,4,7,1,6,5]=>[8,6,3,4,7,2,5,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[5,2,3,4,6,8,1,7]=>[7,4,3,2,5,8,1,6]=>[6,1,8,5,2,3,4,7]=>[[.,[[.,[.,[.,.]]],.]],[[.,.],.]]
[4,2,8,5,7,6,1,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,7,6,4,5,1,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,8,6,4,5,1,2,7]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[4,7,3,6,5,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,8,3,7,5,2,1,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[8,7,3,6,5,1,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,2,7,5,1,6,3,4]=>[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[4,2,7,5,8,6,3,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,8,1,7,3,6,4,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,2,7,8,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,2,8,3,7,6,1,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,2,7,3,1,6,4,5]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[6,8,3,2,5,7,1,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,7,3,8,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,2,3,4,7,5,8,1]=>[8,6,3,4,5,2,7,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[6,2,3,4,1,8,5,7]=>[7,5,3,4,2,8,1,6]=>[6,1,8,2,4,3,5,7]=>[[.,[.,[[.,.],[.,.]]]],[[.,.],.]]
[6,2,3,4,8,7,5,1]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[6,8,3,1,5,7,4,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,2,3,4,1,5,8,6]=>[8,5,3,4,2,6,7,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]
[1,2,3,4,8,7,5,6]=>[1,2,3,4,8,7,6,5]=>[5,6,7,8,4,3,2,1]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]
[1,8,4,2,3,5,6,7]=>[1,8,5,4,3,6,7,2]=>[2,7,6,3,4,5,8,1]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[8,6,7,4,1,5,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,6,7,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,1,8,4,6,5,2,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,7,1,5,4,6,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,5,7,1,4,6,3,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,4,8,5,1,7,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,5,7,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,7,1,5,6,3,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,7,1,4,5,6,3,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,7,4,5,6,1,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,5,1,4,6,2,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,7,2,5,1,4,6,3]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[4,8,7,2,5,1,6,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,6,4,8,5,2,7,3]=>[1,8,6,7,5,3,4,2]=>[2,4,3,5,7,6,8,1]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[8,7,1,4,2,5,6,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,7,5,1,2,4,6,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,1,8,5,6,2,3,4]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,8,7,1,2,5,6,4]=>[5,8,7,4,1,6,3,2]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[3,5,8,7,1,2,6,4]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[2,3,8,5,7,1,6,4]=>[6,2,8,7,5,1,4,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[3,8,7,1,5,6,2,4]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[3,5,8,7,1,6,2,4]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[2,3,8,6,7,5,1,4]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[3,2,8,6,7,5,1,4]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[4,1,8,6,2,7,5,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,7,4,1,2,6,5,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,3,8,6,7,5,2,4]=>[1,7,8,6,5,4,2,3]=>[3,2,4,5,6,8,7,1]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[5,7,1,8,2,6,3,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,8,7,1,5,6,3,4]=>[4,8,7,1,6,5,3,2]=>[2,3,5,6,1,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[8,7,1,5,2,4,6,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,1,8,2,4,6,5,3]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[1,6,2,8,4,7,5,3]=>[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,3,8,5,7,2,6,4]=>[1,6,8,7,5,2,4,3]=>[3,4,2,5,7,8,6,1]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]
[1,8,3,7,2,5,6,4]=>[1,8,5,7,3,6,4,2]=>[2,4,6,3,7,5,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[2,8,7,1,3,5,6,4]=>[4,8,7,1,5,6,3,2]=>[2,3,6,5,1,7,8,4]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[5,7,1,8,2,3,6,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,1,8,2,3,5,6,4]=>[8,2,7,4,5,6,3,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[8,6,3,7,4,1,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,2,8,6,7,5,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,2,7,5,6,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,3,6,1,7,5,2]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[8,3,4,7,5,1,6,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,3,7,4,5,1,6,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,4,2,5,6,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,5,1,6,2,3,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,7,2,4,1,5,6,3]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[4,8,6,1,7,2,5,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,7,1,8,2,6,5,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,2,8,6,7,1,5,3]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[8,7,4,1,2,5,6,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,2,7,1,6,3,4,5]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,2,7,1,3,6,4,5]=>[8,4,7,2,5,6,3,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[2,8,3,6,7,1,5,4]=>[6,8,3,7,5,1,4,2]=>[2,4,1,5,7,3,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[8,7,2,1,3,5,6,4]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[1,8,7,2,3,6,4,5]=>[1,8,7,4,5,6,3,2]=>[2,3,6,5,4,7,8,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[1,8,7,2,6,3,4,5]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[8,2,7,3,6,1,4,5]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[1,8,7,3,6,2,4,5]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,2,7,6,3,4,5]=>[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[8,2,7,4,1,5,6,3]=>[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[8,2,1,7,5,6,3,4]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[8,7,3,1,5,6,2,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,8,7,3,5,6,1,4]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[8,3,1,6,7,5,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,5,2,1,6,7,4,3]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[1,5,2,8,6,7,4,3]=>[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,2,8,6,7,5,3,4]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,8,3,6,7,5,2,4]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,2,3,6,7,5,1,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,3,7,2,5,6,1,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,1,3,7,5,6,2,4]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,4,1,2,7,5,6,3]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[8,1,4,2,6,7,5,3]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[1,2,8,6,7,3,5,4]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[8,1,2,7,3,6,4,5]=>[8,2,3,7,5,6,4,1]=>[1,4,6,5,7,3,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[8,1,7,3,6,2,4,5]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,7,2,6,3,4,5]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,1,7,2,3,6,4,5]=>[8,2,7,4,5,6,3,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[8,1,3,7,2,5,6,4]=>[8,2,5,7,3,6,4,1]=>[1,4,6,3,7,5,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[1,8,3,6,7,2,5,4]=>[1,8,6,7,5,3,4,2]=>[2,4,3,5,7,6,8,1]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[1,7,8,2,3,6,5,4]=>[1,8,7,4,5,6,3,2]=>[2,3,6,5,4,7,8,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[8,3,7,1,2,5,6,4]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[8,7,1,2,3,6,4,5]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[2,8,5,7,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,1,8,5,7,4,2,6]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[8,3,5,7,4,2,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,3,6,2,4,5,7,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,8,6,4,3,5,7,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,6,8,3,5,4,7,1]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[2,7,5,8,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,2,7,6,1,3,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,1,7,6,3,2,5]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[4,1,7,6,2,3,5,8]=>[6,2,7,5,4,1,3,8]=>[8,3,1,4,5,7,2,6]=>[[[.,[.,.]],[.,[.,[[.,.],.]]]],.]
[3,7,1,8,6,2,5,4]=>[6,8,3,7,5,1,4,2]=>[2,4,1,5,7,3,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[3,1,7,5,8,4,2,6]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[3,1,6,8,7,5,2,4]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[6,3,8,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,3,5,8,4,2,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,3,6,4,2,8,5,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,8,3,6,2,5,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,4,8,2,1,6,3,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,4,6,3,2,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,5,2,1,4,3,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,5,2,3,1,4,8,6]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,4,6,2,3,8,1,5]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,4,2,5,8,3,7,1]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[4,6,5,8,1,3,2,7]=>[7,6,5,8,3,2,1,4]=>[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[4,7,1,5,3,8,2,6]=>[7,8,3,5,4,6,1,2]=>[2,1,6,4,5,3,8,7]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[4,7,8,1,3,6,2,5]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[5,7,1,3,4,6,2,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[5,8,1,3,2,4,6,7]=>[6,8,3,5,4,1,7,2]=>[2,7,1,4,5,3,8,6]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[8,4,6,2,1,3,7,5]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[5,4,8,7,2,3,6,1]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[5,4,8,7,3,1,2,6]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[6,8,3,7,2,5,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,4,6,8,2,3,7,1]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[5,7,4,2,8,3,6,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,4,7,2,1,8,3,5]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,5,3,4,1,2,8,7]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[6,8,5,4,1,3,2,7]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[6,4,3,7,1,5,2,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[9,8,7,6,5,2,3,1,4]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,8,7,6,3,4,2,1,5]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,8,7,4,5,3,2,1,6]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,8,5,6,4,3,2,1,7]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,6,7,5,4,3,2,1,8]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[7,4,2,6,1,5,3,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,4,2,5,6,1,3,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,4,2,8,1,5,7,3]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[6,3,7,8,2,5,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,3,5,6,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,4,3,1,5,6,2,8]=>[7,6,4,3,5,2,1,8]=>[8,1,2,5,3,4,6,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[7,4,5,2,6,1,3,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,3,7,2,8,6,4,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,3,8,2,6,7,4,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,3,8,2,5,4,7,1]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[6,4,8,2,1,5,7,3]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[6,4,3,1,8,2,7,5]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[5,3,7,8,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,7,8,5,6,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,3,7,6,8,2,4,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,7,8,4,6,2,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,4,3,6,7,1,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,8,6,4,7,2,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,3,8,6,2,7,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,7,5,8,6,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,6,7,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,3,8,7,2,4,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,3,8,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,3,8,6,7,2,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,3,7,8,6,2,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,7,6,4,8,2,1,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,8,4,6,7,2,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,4,2,8,1,7,3,5]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[6,5,2,4,3,7,8,1]=>[8,5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[5,4,6,2,8,7,1,3]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[5,6,3,8,7,2,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,4,3,1,8,2,5]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,7,4,3,6,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,7,3,8,6,2,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,5,8,6,7,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,6,8,5,7,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,6,8,3,7,2,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,4,6,8,2,7,1,3]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[3,6,7,8,2,5,1,4]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[5,7,8,2,6,4,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,6,8,5,7,1,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,7,4,8,6,2,3,5]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,6,2,5,7,8,1,4]=>[7,8,3,4,5,6,1,2]=>[2,1,6,5,4,3,8,7]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]
[5,2,7,4,6,8,1,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,2,4,5,8,6,1,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,3,6,7,1,8,4,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,2,5,6,7,1,8,3]=>[8,6,3,4,5,2,7,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[8,2,3,7,5,1,6,4]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[7,2,6,3,5,1,8,4]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,1,3,6,7,2,4,5]=>[8,2,6,7,5,3,4,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[8,1,4,2,5,6,3,7]=>[8,2,7,4,5,6,3,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[8,1,4,2,7,5,3,6]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,1,3,8,2,7,4,5]=>[8,2,5,7,3,6,4,1]=>[1,4,6,3,7,5,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[3,6,2,4,1,7,8,5]=>[5,8,3,4,1,6,7,2]=>[2,7,6,1,4,3,8,5]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]
[6,2,7,3,1,5,8,4]=>[8,5,6,4,2,3,7,1]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[6,3,4,1,8,5,7,2]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[7,3,4,1,5,8,6,2]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[1,7,5,2,8,6,3,4]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[3,7,4,1,8,5,6,2]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[5,6,3,1,7,8,4,2]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[3,6,4,8,1,5,7,2]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[3,5,7,4,1,6,8,2]=>[8,5,6,4,2,3,7,1]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[4,5,1,8,2,3,7,6]=>[6,5,3,8,2,1,7,4]=>[4,7,1,2,8,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[4,7,1,8,2,6,3,5]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[6,3,1,8,5,2,4,7]=>[7,6,3,8,5,2,1,4]=>[4,1,2,5,8,3,6,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[3,5,2,1,8,4,6,7]=>[4,6,3,1,8,2,7,5]=>[5,7,2,8,1,3,6,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[7,5,1,2,3,8,6,4]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[6,4,1,2,7,3,8,5]=>[8,6,3,4,5,2,7,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[5,2,6,1,3,4,8,7]=>[6,4,5,2,3,1,8,7]=>[7,8,1,3,2,5,4,6]=>[[.,[[.,.],[[.,.],[.,.]]]],[.,.]]
[7,8,4,5,1,3,2,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,1,3,2,5,4,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[6,7,1,4,3,5,2,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[7,8,2,3,1,5,4,6]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,8,2,4,3,5,1,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,2,4,1,5,3,6]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[1,4,2,6,5,7,3,8]=>[1,7,3,5,4,6,2,8]=>[8,2,6,4,5,3,7,1]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[5,6,1,4,2,7,3,8]=>[7,5,3,4,2,6,1,8]=>[8,1,6,2,4,3,5,7]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[6,7,2,4,1,5,3,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,7,2,4,3,5,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,7,2,3,1,5,4,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,7,3,5,4,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,4,1,6,5,7,3,8]=>[3,7,1,5,4,6,2,8]=>[8,2,6,4,5,1,7,3]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[1,5,2,6,4,7,3,8]=>[1,7,3,5,4,6,2,8]=>[8,2,6,4,5,3,7,1]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[2,5,1,6,4,7,3,8]=>[3,7,1,5,4,6,2,8]=>[8,2,6,4,5,1,7,3]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[3,6,5,7,4,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,6,2,4,3,7,1,8]=>[7,5,4,3,2,6,1,8]=>[8,1,6,2,3,4,5,7]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[4,5,2,6,1,7,3,8]=>[7,5,3,4,2,6,1,8]=>[8,1,6,2,4,3,5,7]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[4,5,1,6,3,7,2,8]=>[7,5,3,4,2,6,1,8]=>[8,1,6,2,4,3,5,7]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[4,5,3,6,1,7,2,8]=>[7,5,3,4,2,6,1,8]=>[8,1,6,2,4,3,5,7]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[5,6,3,4,1,7,2,8]=>[7,5,4,3,2,6,1,8]=>[8,1,6,2,3,4,5,7]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[5,6,1,4,3,7,2,8]=>[7,5,3,4,2,6,1,8]=>[8,1,6,2,4,3,5,7]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[5,6,1,3,2,7,4,8]=>[7,5,3,4,2,6,1,8]=>[8,1,6,2,4,3,5,7]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[5,6,4,7,1,3,2,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,7,4,5,1,3,2,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,7,5,8,1,3,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,5,1,3,2,7,6,8]=>[5,4,3,2,1,7,6,8]=>[8,6,7,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[4,6,5,7,1,3,2,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,6,1,3,2,7,5,8]=>[5,7,3,4,1,6,2,8]=>[8,2,6,1,4,3,7,5]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[1,4,3,6,2,7,5,8]=>[1,5,3,7,2,6,4,8]=>[8,4,6,2,7,3,5,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[3,4,1,6,5,7,2,8]=>[7,3,2,5,4,6,1,8]=>[8,1,6,4,5,2,3,7]=>[[.,[[[.,[.,.]],[.,.]],[.,.]]],.]
[4,5,2,3,1,7,6,8]=>[5,4,3,2,1,7,6,8]=>[8,6,7,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[4,5,3,7,6,8,1,2]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[4,6,5,7,3,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,6,5,7,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[3,5,4,6,1,7,2,8]=>[7,5,3,4,2,6,1,8]=>[8,1,6,2,4,3,5,7]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[3,5,1,6,4,7,2,8]=>[7,5,3,4,2,6,1,8]=>[8,1,6,2,4,3,5,7]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[1,5,3,6,4,7,2,8]=>[1,7,5,4,3,6,2,8]=>[8,2,6,3,4,5,7,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[1,5,3,6,2,7,4,8]=>[1,7,5,4,3,6,2,8]=>[8,2,6,3,4,5,7,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[3,5,2,6,1,7,4,8]=>[5,7,3,4,1,6,2,8]=>[8,2,6,1,4,3,7,5]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[3,5,2,6,4,7,1,8]=>[7,5,3,4,2,6,1,8]=>[8,1,6,2,4,3,5,7]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[3,4,2,6,1,7,5,8]=>[5,3,2,7,1,6,4,8]=>[8,4,6,1,7,2,3,5]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[2,4,3,6,1,7,5,8]=>[5,3,2,7,1,6,4,8]=>[8,4,6,1,7,2,3,5]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[2,5,3,6,4,7,1,8]=>[7,5,3,4,2,6,1,8]=>[8,1,6,2,4,3,5,7]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[2,5,3,6,1,7,4,8]=>[5,7,3,4,1,6,2,8]=>[8,2,6,1,4,3,7,5]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[4,6,2,7,3,5,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,6,2,7,5,4,8,1]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[4,6,1,7,3,8,2,5]=>[7,8,3,5,4,6,1,2]=>[2,1,6,4,5,3,8,7]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[2,4,7,1,3,8,6,5]=>[4,5,8,1,2,7,6,3]=>[3,6,7,2,1,8,5,4]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]
[5,2,6,7,4,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,5,2,7,6,4,8,1]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[2,5,7,3,1,8,6,4]=>[5,8,7,4,1,6,3,2]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,5,7,2,8,3,6,4]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[2,5,7,3,1,8,4,6]=>[5,7,8,4,1,6,2,3]=>[3,2,6,1,4,8,7,5]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]
[5,2,6,7,1,8,4,3]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[1,3,7,2,8,5,6,4]=>[1,4,8,2,7,6,5,3]=>[3,5,6,7,2,8,4,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[2,1,5,6,8,4,3,7]=>[2,1,7,6,8,4,3,5]=>[5,3,4,8,6,7,1,2]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]
[2,4,7,3,1,8,5,6]=>[5,4,8,2,1,7,6,3]=>[3,6,7,1,2,8,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[1,3,7,2,8,5,4,6]=>[1,4,8,2,7,6,5,3]=>[3,5,6,7,2,8,4,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[4,6,2,7,1,8,3,5]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[1,6,4,5,7,8,3,2]=>[1,8,7,4,5,6,3,2]=>[2,3,6,5,4,7,8,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[2,5,1,7,8,6,3,4]=>[3,8,1,7,6,5,4,2]=>[2,4,5,6,7,1,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,3,6,2,8,7,4,5]=>[1,4,8,2,7,6,5,3]=>[3,5,6,7,2,8,4,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[2,1,5,6,8,4,7,3]=>[2,1,8,6,7,4,5,3]=>[3,5,4,7,6,8,1,2]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[2,4,1,7,8,5,6,3]=>[3,8,1,7,6,5,4,2]=>[2,4,5,6,7,1,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,3,6,2,8,4,7,5]=>[1,4,8,2,7,6,5,3]=>[3,5,6,7,2,8,4,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[2,1,5,6,8,7,3,4]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[3,6,5,2,7,8,4,1]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[6,2,4,7,5,8,3,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[1,5,7,8,4,2,6,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,7,4,1,8,6,2,5]=>[7,8,4,3,6,5,1,2]=>[2,1,5,6,3,4,8,7]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]
[3,4,6,8,5,7,2,1]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[4,2,5,7,3,1,8,6]=>[6,5,3,8,2,1,7,4]=>[4,7,1,2,8,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[4,5,6,2,8,7,3,1]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[2,5,6,8,1,7,4,3]=>[5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[4,5,6,1,8,7,3,2]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[4,5,6,3,1,8,7,2]=>[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[4,3,6,2,1,7,5,8]=>[5,4,7,2,1,6,3,8]=>[8,3,6,1,2,7,4,5]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[4,6,3,1,7,5,2,8]=>[7,6,4,3,5,2,1,8]=>[8,1,2,5,3,4,6,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[4,5,3,7,6,1,8,2]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[4,5,1,7,3,8,6,2]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[2,5,7,1,4,3,8,6]=>[4,6,8,1,5,2,7,3]=>[3,7,2,5,1,8,6,4]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]
[4,3,5,7,6,1,8,2]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[4,3,6,1,7,5,2,8]=>[7,4,6,2,5,3,1,8]=>[8,1,3,5,2,6,4,7]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[4,3,2,6,1,7,5,8]=>[5,3,2,7,1,6,4,8]=>[8,4,6,1,7,2,3,5]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[5,3,2,1,6,4,7,8]=>[6,4,3,2,5,1,7,8]=>[8,7,1,5,2,3,4,6]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[5,3,1,6,2,7,4,8]=>[7,5,3,4,2,6,1,8]=>[8,1,6,2,4,3,5,7]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[5,1,6,3,2,7,4,8]=>[7,2,5,4,3,6,1,8]=>[8,1,6,3,4,5,2,7]=>[[.,[[[.,.],[.,[.,.]]],[.,.]]],.]
[4,6,1,7,5,3,2,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[5,1,6,3,7,4,2,8]=>[7,2,6,4,5,3,1,8]=>[8,1,3,5,4,6,2,7]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[5,3,6,4,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[8,7,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[5,3,2,6,4,1,7,8]=>[6,5,3,4,2,1,7,8]=>[8,7,1,2,4,3,5,6]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[5,2,1,6,3,7,4,8]=>[7,3,2,5,4,6,1,8]=>[8,1,6,4,5,2,3,7]=>[[.,[[[.,[.,.]],[.,.]],[.,.]]],.]
[5,2,6,3,1,7,4,8]=>[7,5,4,3,2,6,1,8]=>[8,1,6,2,3,4,5,7]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[4,2,6,3,1,7,8,5]=>[5,4,8,2,1,6,7,3]=>[3,7,6,1,2,8,4,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[3,5,7,2,8,6,4,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,4,7,1,3,6,5,8]=>[4,5,7,1,2,6,3,8]=>[8,3,6,2,1,7,5,4]=>[[[[.,.],.],[[[.,.],.],[.,.]]],.]
[5,1,6,2,7,4,3,8]=>[7,2,6,4,5,3,1,8]=>[8,1,3,5,4,6,2,7]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[5,2,6,4,3,1,7,8]=>[6,5,4,3,2,1,7,8]=>[8,7,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[5,4,2,1,6,3,7,8]=>[6,4,3,2,5,1,7,8]=>[8,7,1,5,2,3,4,6]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[5,4,2,6,3,1,7,8]=>[6,5,3,4,2,1,7,8]=>[8,7,1,2,4,3,5,6]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[5,4,1,6,2,7,3,8]=>[7,5,3,4,2,6,1,8]=>[8,1,6,2,4,3,5,7]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[5,1,6,4,2,7,3,8]=>[7,2,5,4,3,6,1,8]=>[8,1,6,3,4,5,2,7]=>[[.,[[[.,.],[.,[.,.]]],[.,.]]],.]
[3,6,1,7,5,4,8,2]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[2,6,1,5,4,3,7,8]=>[3,6,1,5,4,2,7,8]=>[8,7,2,4,5,1,6,3]=>[[[[.,.],[[.,.],[.,[.,.]]]],.],.]
[3,1,6,2,5,4,7,8]=>[4,2,6,1,5,3,7,8]=>[8,7,3,5,1,6,2,4]=>[[[[.,[.,.]],[[.,.],[.,.]]],.],.]
[5,1,6,4,3,2,7,8]=>[6,2,5,4,3,1,7,8]=>[8,7,1,3,4,5,2,6]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[5,4,1,6,3,2,7,8]=>[6,5,3,4,2,1,7,8]=>[8,7,1,2,4,3,5,6]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[5,4,3,1,6,2,7,8]=>[6,4,3,2,5,1,7,8]=>[8,7,1,5,2,3,4,6]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[8,2,1,7,6,5,4,3,9]=>[8,3,2,7,6,5,4,1,9]=>[9,1,4,5,6,7,2,3,8]=>[[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]],.]
[7,3,1,6,5,4,8,2]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[7,2,8,1,5,4,3,6]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[4,2,7,6,5,8,1,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,8,2,6,5,4,1,7]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[7,2,8,6,1,4,3,5]=>[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[5,2,7,6,8,4,1,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,8,7,2,5,4,1,6]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[7,5,1,6,8,4,3,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,4,2,1,5,6,3,8]=>[7,6,4,3,5,2,1,8]=>[8,1,2,5,3,4,6,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[7,2,8,6,5,1,3,4]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[5,3,2,6,7,4,1,8]=>[7,6,3,4,5,2,1,8]=>[8,1,2,5,4,3,6,7]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[4,3,7,2,5,6,1,8]=>[7,4,6,2,5,3,1,8]=>[8,1,3,5,2,6,4,7]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[3,10,2,8,7,6,5,4,1,9]=>[9,10,3,8,7,6,5,4,1,2]=>[2,1,4,5,6,7,8,3,10,9]=>[[.,.],[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]]
[6,7,1,4,3,2,5,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[3,4,2,6,7,1,5,8]=>[6,3,2,7,5,1,4,8]=>[8,4,1,5,7,2,3,6]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[3,5,6,2,4,7,1,8]=>[7,5,4,3,2,6,1,8]=>[8,1,6,2,3,4,5,7]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[3,5,8,7,2,4,6,1]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[1,7,8,2,5,4,3,6]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[8,7,2,5,4,3,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,7,1,6,3,5,2,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[4,5,3,8,7,2,6,1]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[1,4,5,3,7,8,2,6]=>[1,7,4,3,8,6,2,5]=>[5,2,6,8,3,4,7,1]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]
[4,7,3,5,1,8,6,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,7,3,6,1,5,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,5,8,7,4,6,1,3]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[4,7,8,3,5,2,1,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[4,7,6,2,1,8,3,5]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[8,3,6,2,1,7,5,4]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[8,3,7,6,4,2,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,3,1,8,4,7,6,5]=>[3,2,1,8,5,7,6,4]=>[4,6,7,5,8,1,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[2,7,4,8,6,5,1,3]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[8,6,5,1,4,7,3,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,5,4,1,7,3,6,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,3,7,2,8,5,4,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,6,3,8,2,7,5,4]=>[1,8,5,7,3,6,4,2]=>[2,4,6,3,7,5,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,7,5,3,8,2,6,4]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,2,7,4,1,8,5,3]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[8,6,3,2,7,5,1,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,7,5,1,3,8,6,4]=>[4,8,7,1,5,6,3,2]=>[2,3,6,5,1,7,8,4]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[1,7,6,4,3,8,2,5]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[3,7,2,4,8,6,5,1]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[3,4,2,8,7,6,1,5]=>[7,3,2,8,6,5,1,4]=>[4,1,5,6,8,2,3,7]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]
[5,1,4,3,2,7,8,6]=>[5,2,4,3,1,8,7,6]=>[6,7,8,1,3,4,2,5]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]
[3,7,8,5,2,4,1,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[3,7,6,2,4,1,8,5]=>[6,8,5,4,3,1,7,2]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[1,6,8,2,5,7,4,3]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[6,7,2,5,8,4,3,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,2,7,8,4,3,1,6]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[5,3,1,7,8,4,2,6]=>[7,6,3,8,5,2,1,4]=>[4,1,2,5,8,3,6,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[2,7,6,4,1,3,8,5]=>[5,8,6,4,1,3,7,2]=>[2,7,3,1,4,6,8,5]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]
[8,4,2,7,6,3,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,3,1,7,5,2,8,4]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[6,2,7,5,3,1,8,4]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[1,5,8,2,7,4,6,3]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[5,7,2,8,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,7,3,1,8,4,6,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,4,7,3,1,6,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,6,8,5,7,4,1,3]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[6,5,2,1,7,4,8,3]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[5,7,4,6,2,1,8,3]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,6,4,8,3,7,2,1]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[6,7,1,8,3,4,2,5]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,8,3,5,1,4,2,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,6,2,7,1,8,3,4]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,7,2,4,3,8,1,5]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,4,3,8,6,7,1,5]=>[7,3,2,8,6,5,1,4]=>[4,1,5,6,8,2,3,7]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]
[1,8,2,7,4,5,3,6]=>[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[2,5,4,8,3,6,1,7]=>[7,5,3,8,2,6,1,4]=>[4,1,6,2,8,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[2,3,1,8,5,6,4,7]=>[3,2,1,8,7,6,5,4]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[3,8,5,6,4,7,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,7,3,6,4,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,7,2,3,1,6,4,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,7,2,4,3,6,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,6,2,7,1,5,3,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,7,1,6,2,5,3,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[4,7,1,5,3,6,2,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[4,6,3,5,1,7,2,8]=>[7,5,4,3,2,6,1,8]=>[8,1,6,2,3,4,5,7]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[6,7,3,5,1,4,2,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,6,3,7,1,4,2,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,7,1,6,3,4,2,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[1,8,5,6,3,4,2,7]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,5,6,4,7,2,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,1,6,4,8,2,3]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[4,6,5,8,1,7,2,3]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[3,7,1,4,2,8,5,6]=>[5,8,3,4,1,7,6,2]=>[2,6,7,1,4,3,8,5]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[3,5,1,4,2,8,6,7]=>[5,4,3,2,1,8,7,6]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[4,6,5,8,3,7,1,2]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[4,6,5,8,2,3,1,7]=>[7,6,5,8,3,2,1,4]=>[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[3,4,2,6,5,8,1,7]=>[7,3,2,5,4,8,1,6]=>[6,1,8,4,5,2,3,7]=>[[.,[[.,[.,.]],[.,.]]],[[.,.],.]]
[3,5,4,6,2,8,1,7]=>[7,5,3,4,2,8,1,6]=>[6,1,8,2,4,3,5,7]=>[[.,[.,[[.,.],[.,.]]]],[[.,.],.]]
[1,8,3,5,4,7,2,6]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[3,4,2,7,1,8,5,6]=>[5,3,2,8,1,7,6,4]=>[4,6,7,1,8,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[4,7,2,3,1,8,5,6]=>[5,8,4,3,1,7,6,2]=>[2,6,7,1,3,4,8,5]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[2,4,3,8,1,7,5,6]=>[5,3,2,8,1,7,6,4]=>[4,6,7,1,8,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[2,5,3,8,4,7,1,6]=>[7,5,3,8,2,6,1,4]=>[4,1,6,2,8,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[2,6,3,8,1,7,4,5]=>[5,8,3,7,1,6,4,2]=>[2,4,6,1,7,3,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[2,7,1,8,3,6,4,5]=>[3,8,1,7,5,6,4,2]=>[2,4,6,5,7,1,8,3]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,2,8,7,4,6,3,5]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[3,7,4,8,6,1,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,5,1,8,7,6,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,5,2,8,7,6,3,4]=>[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[5,1,2,8,7,6,3,4]=>[8,2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[4,1,5,8,7,6,2,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,3,6,8,7,4,5,1]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,3,7,8,6,4,5,1]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,5,7,8,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,5,6,8,2,7,3,1]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[5,2,6,8,3,7,4,1]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[3,1,6,8,7,4,5,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,1,4,8,7,2,5,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,1,8,4,7,3,5,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,8,3,4,7,1,6,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,8,3,5,7,1,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,1,7,8,6,4,5,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,2,7,8,3,6,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,6,7,8,2,5,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,4,5,2,8,6,3,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,5,8,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,4,5,2,7,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,2,5,3,7,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,3,8,4,2,7,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,2,5,3,8,6,4,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,4,7,5,8,6,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,6,7,4,8,5,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,7,4,2,8,5,3,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,7,5,2,8,6,3,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,7,5,3,8,6,4,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,6,2,8,3,7,4,1]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[5,7,8,3,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,6,8,3,2,7,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,6,8,4,2,7,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,5,8,2,7,3,6,4]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[5,8,4,7,2,3,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,6,8,1,3,7,4,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,7,4,8,1,5,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,7,2,8,3,6,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,7,4,8,6,2,5,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,2,8,6,1,5,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,5,3,7,2,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,5,2,3,7,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,5,3,8,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,5,2,3,8,6,4,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,7,4,5,8,6,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,7,3,4,8,5,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,6,4,7,8,5,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,4,2,7,8,5,3,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,4,2,5,8,6,3,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,1,8,3,4,7,5,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,8,4,2,5,7,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,5,8,3,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,4,5,8,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,3,4,7,8,5,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,1,7,3,4,5,8,2]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[5,7,2,3,4,1,8,6]=>[6,8,5,4,3,1,7,2]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[2,7,1,8,4,5,6,3]=>[3,8,1,7,6,5,4,2]=>[2,4,5,6,7,1,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[4,7,2,3,1,5,8,6]=>[5,8,4,3,1,6,7,2]=>[2,7,6,1,3,4,8,5]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[2,6,7,8,4,5,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,8,1,9,4,5,6,7,3]=>[3,9,1,8,7,6,5,4,2]=>[2,4,5,6,7,8,1,9,3]=>[[.,.],[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,5,8,3,4,1,6,7]=>[6,5,8,4,2,1,7,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[6,7,8,3,4,5,2,9,1]=>[9,7,6,5,4,3,2,8,1]=>[1,8,2,3,4,5,6,7,9]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]]
[5,6,2,7,4,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,6,7,3,2,5,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[2,6,7,3,8,5,4,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,6,1,8,4,5,3,7]=>[3,7,1,8,6,5,2,4]=>[4,2,5,6,8,1,7,3]=>[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]
[2,5,7,8,4,3,6,1]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[2,7,8,9,4,5,6,3,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[3,6,8,4,5,7,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,6,8,4,7,2,3,5]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,4,5,7,8,2,6,3]=>[1,8,6,7,5,3,4,2]=>[2,4,3,5,7,6,8,1]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[3,4,5,7,8,6,1,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,4,5,7,6,8,1,2]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[3,6,7,4,8,5,1,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,4,5,6,8,7,1,2]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[1,2,5,8,3,6,4,7]=>[1,2,7,8,5,6,3,4]=>[4,3,6,5,8,7,2,1]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]
[7,8,1,4,6,2,3,5]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,6,7,4,8,2,5,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,4,5,8,6,2,7,3]=>[1,8,6,7,5,3,4,2]=>[2,4,3,5,7,6,8,1]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[1,2,5,8,3,4,7,6]=>[1,2,6,8,5,3,7,4]=>[4,7,3,5,8,6,2,1]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]
[1,6,7,2,3,5,8,4]=>[1,8,6,4,5,3,7,2]=>[2,7,3,5,4,6,8,1]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[7,8,1,2,3,5,4,6]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[1,6,7,2,3,5,4,8]=>[1,7,6,4,5,3,2,8]=>[8,2,3,5,4,6,7,1]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[1,4,5,7,6,2,3,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[1,2,5,7,3,6,4,8]=>[1,2,7,6,5,4,3,8]=>[8,3,4,5,6,7,2,1]=>[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]
[1,6,8,2,3,5,7,4]=>[1,8,7,4,5,6,3,2]=>[2,3,6,5,4,7,8,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[1,6,8,4,5,2,3,7]=>[1,7,8,6,5,4,2,3]=>[3,2,4,5,6,8,7,1]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[1,6,8,4,5,2,7,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,6,8,2,3,4,7,5]=>[1,8,7,4,5,6,3,2]=>[2,3,6,5,4,7,8,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[1,6,8,2,3,7,4,5]=>[1,8,7,4,5,6,3,2]=>[2,3,6,5,4,7,8,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[7,8,1,4,5,2,6,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,8,1,2,3,4,6,5]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[7,8,1,2,3,6,4,5]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[1,6,7,2,3,8,5,4]=>[1,8,7,4,5,6,3,2]=>[2,3,6,5,4,7,8,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[1,2,5,6,3,8,7,4]=>[1,2,8,5,4,7,6,3]=>[3,6,7,4,5,8,2,1]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]
[4,2,1,6,5,3,8,7]=>[6,3,2,5,4,1,8,7]=>[7,8,1,4,5,2,3,6]=>[[.,[[.,[.,.]],[.,[.,.]]]],[.,.]]
[8,2,4,3,1,6,5,7]=>[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[6,2,4,3,1,8,7,5]=>[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[4,2,6,3,5,1,8,7]=>[6,4,5,2,3,1,8,7]=>[7,8,1,3,2,5,4,6]=>[[.,[[.,.],[[.,.],[.,.]]]],[.,.]]
[4,6,2,1,5,8,7,3]=>[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[4,6,5,2,1,8,7,3]=>[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[2,1,6,4,3,8,7,5]=>[2,1,8,5,4,7,6,3]=>[3,6,7,4,5,8,1,2]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[4,8,2,1,6,7,3,5]=>[7,8,4,3,6,5,1,2]=>[2,1,5,6,3,4,8,7]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]
[6,8,2,1,4,3,7,5]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[8,6,2,4,3,1,5,7]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,2,4,3,1,7,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,7,2,4,3,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,1,8,4,6,5,3,7]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,6,4,8,5,7,3]=>[2,1,8,6,7,4,5,3]=>[3,5,4,7,6,8,1,2]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[4,6,5,2,8,3,7,1]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[2,6,4,5,8,3,7,1]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[6,4,2,8,3,5,7,1]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[8,4,2,6,3,5,1,7]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[6,2,4,8,5,3,7,1]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[4,2,6,3,5,8,7,1]=>[8,4,5,2,3,7,6,1]=>[1,6,7,3,2,5,4,8]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[4,2,6,3,8,7,5,1]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,2,4,3,8,5,7,1]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[8,2,4,3,6,5,1,7]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[8,2,1,4,6,5,3,7]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[6,2,1,4,8,5,7,3]=>[8,3,2,6,7,4,5,1]=>[1,5,4,7,6,2,3,8]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]
[6,2,1,8,7,4,3,5]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[6,2,1,8,4,3,7,5]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[8,4,6,5,2,1,3,7]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,4,8,5,2,1,7,3]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[6,4,8,5,7,2,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,6,8,7,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,1,4,8,6,7,3,5]=>[2,1,7,8,6,5,3,4]=>[4,3,5,6,8,7,1,2]=>[[[.,[.,.]],.],[.,[.,[[.,.],.]]]]
[2,6,8,7,4,5,1,3]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[2,4,8,6,7,5,1,3]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[4,2,8,6,5,7,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,2,6,4,5,1,3,7]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[8,4,6,2,1,5,3,7]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,6,8,7,2,1,5,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,6,5,8,2,1,7,3]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[2,1,6,8,4,3,7,5]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[6,8,7,4,2,1,3,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,8,6,4,7,1,3,5]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[4,8,6,2,1,7,3,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[2,8,5,3,1,4,6,7]=>[5,8,6,4,1,3,7,2]=>[2,7,3,1,4,6,8,5]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]
[2,7,4,8,3,5,1,6]=>[7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[2,7,4,8,3,5,6,1]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[7,2,8,4,3,5,1,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,2,1,5,3,6,7]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[8,5,1,4,2,3,6,7]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[8,4,1,5,3,2,6,7]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[6,7,3,8,4,2,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,3,8,4,2,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,1,8,4,3,5,2,6]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,7,8,4,3,5,2,6]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,1,4,8,3,5,2,6]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,4,8,1,5,6,2,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,1,8,4,3,5,6,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,7,3,1,8,4,5,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,7,3,8,4,5,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,1,4,8,3,5,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,7,4,1,3,8,2,5]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[1,6,7,8,4,3,2,5]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,2,1,8,4,5,3,6]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[6,2,7,1,8,4,3,5]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,2,7,8,4,3,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,2,7,8,4,3,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,6,7,4,8,3,5,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,6,7,4,8,3,1,5]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[7,8,1,3,6,2,4,5]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,2,7,8,6,3,4,5]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[2,6,7,1,8,5,3,4]=>[4,8,7,1,6,5,3,2]=>[2,3,5,6,1,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[2,6,7,8,5,3,1,4]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[2,6,7,8,5,3,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,2,7,8,4,5,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,2,1,8,4,5,6,3]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[1,7,2,8,4,5,6,3]=>[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[3,7,8,1,5,6,2,4]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[6,3,7,8,1,5,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,1,2,8,5,3,4]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[1,6,7,8,4,2,5,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,1,2,7,6,5,8,4]=>[3,2,1,8,6,5,7,4]=>[4,7,5,6,8,1,2,3]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[4,1,5,7,3,2,6,8]=>[6,2,5,7,3,1,4,8]=>[8,4,1,3,7,5,2,6]=>[[[.,[[.,.],.]],[[.,[.,.]],.]],.]
[4,6,1,8,3,2,5,7]=>[6,7,3,8,5,1,2,4]=>[4,2,1,5,8,3,7,6]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]
[4,7,1,8,3,5,2,6]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[4,1,7,8,6,2,3,5]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[1,6,5,7,8,3,4,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,6,5,8,7,3,4,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,1,8,7,6,2,3,5]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[4,8,1,7,3,5,2,6]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[4,8,1,6,3,2,5,7]=>[6,8,3,7,5,1,4,2]=>[2,4,1,5,7,3,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[6,1,2,3,7,5,4,8]=>[7,2,3,4,6,5,1,8]=>[8,1,5,6,4,3,2,7]=>[[.,[[[[.,.],.],.],[.,[.,.]]]],.]
[6,8,1,5,3,7,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,7,5,2,4,1,6,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,5,7,3,4,8,6,2]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,5,8,3,4,7,6,2]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[7,8,5,2,4,1,6,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,1,2,3,5,6,4,8]=>[7,2,3,4,6,5,1,8]=>[8,1,5,6,4,3,2,7]=>[[.,[[[[.,.],.],.],[.,[.,.]]]],.]
[8,1,2,3,5,6,4,7]=>[8,2,3,4,7,6,5,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[8,1,2,3,5,4,7,6]=>[8,2,3,4,6,5,7,1]=>[1,7,5,6,4,3,2,8]=>[.,[[[[[.,.],.],.],[.,.]],[.,.]]]
[7,1,8,4,6,3,2,5]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,8,2,4,3,1,5,7]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[6,7,2,4,3,1,5,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[3,8,1,2,4,5,7,6]=>[4,8,3,1,5,6,7,2]=>[2,7,6,5,1,3,8,4]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]
[3,7,1,8,6,4,2,5]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[1,6,4,3,7,5,8,2]=>[1,8,6,4,5,3,7,2]=>[2,7,3,5,4,6,8,1]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[3,1,2,6,7,5,8,4]=>[3,2,1,8,6,5,7,4]=>[4,7,5,6,8,1,2,3]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[3,8,1,7,6,4,2,5]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[7,6,2,4,3,1,5,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,7,2,4,3,5,1,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,1,7,4,6,3,2,5]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,7,6,5,3,2,4]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,7,2,5,3,6,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,1,2,3,5,4,8,6]=>[8,2,3,4,6,5,7,1]=>[1,7,5,6,4,3,2,8]=>[.,[[[[[.,.],.],.],[.,.]],[.,.]]]
[6,1,2,3,5,7,4,8]=>[7,2,3,4,5,6,1,8]=>[8,1,6,5,4,3,2,7]=>[[.,[[[[[.,.],.],.],.],[.,.]]],.]
[5,1,2,3,7,6,4,8]=>[7,2,3,4,6,5,1,8]=>[8,1,5,6,4,3,2,7]=>[[.,[[[[.,.],.],.],[.,[.,.]]]],.]
[5,1,2,3,8,6,4,7]=>[7,2,3,4,8,6,1,5]=>[5,1,6,8,4,3,2,7]=>[[.,[[[.,.],.],.]],[.,[[.,.],.]]]
[1,5,6,3,4,7,8,2]=>[1,8,5,4,3,6,7,2]=>[2,7,6,3,4,5,8,1]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[8,6,5,2,4,7,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,2,5,3,1,8,4]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,4,5,2,3,8,6,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,2,3,7,4,5,1,6]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,4,7,3,2,5,1,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,4,6,3,1,2,8,7]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[4,6,2,3,1,5,8,7]=>[5,6,4,3,1,2,8,7]=>[7,8,2,1,3,4,6,5]=>[[[.,.],[.,[.,[[.,.],.]]]],[.,.]]
[7,2,3,4,5,8,6,1]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[8,2,3,4,5,7,1,6]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[7,3,4,6,8,5,1,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,7,3,2,8,6,1,5]=>[7,8,4,3,6,5,1,2]=>[2,1,5,6,3,4,8,7]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]
[3,7,4,5,1,8,6,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,8,2,6,7,4,5,1]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,8,1,5,6,7,3,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,8,2,4,6,7,1,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,8,1,3,4,2,7,5]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,8,2,4,3,1,7,6]=>[6,8,5,4,3,1,7,2]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[2,1,7,6,8,5,3,4]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[3,7,6,1,8,5,2,4]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[4,7,2,3,8,5,1,6]=>[7,8,4,3,6,5,1,2]=>[2,1,5,6,3,4,8,7]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]
[7,1,3,6,4,8,5,2]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[7,6,1,4,8,5,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,2,3,7,8,5,4,1]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,2,3,8,4,5,1,7]=>[7,6,3,8,5,2,1,4]=>[4,1,2,5,8,3,6,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[7,2,3,6,8,4,1,5]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,2,3,5,7,1,4,6]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[6,4,8,3,5,1,7,2]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[5,4,8,3,6,7,1,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,5,1,8,4,6,7,2]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[3,6,1,8,4,5,2,7]=>[7,6,3,8,5,2,1,4]=>[4,1,2,5,8,3,6,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[4,6,8,3,5,2,7,1]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[5,7,8,3,2,4,1,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[4,8,2,3,5,6,1,7]=>[7,8,4,3,5,6,1,2]=>[2,1,6,5,3,4,8,7]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]
[6,8,2,3,1,4,5,7]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[3,7,8,2,1,4,6,5]=>[5,8,7,4,1,6,3,2]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[3,7,5,2,8,4,1,6]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[7,2,3,4,8,5,1,6]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[5,7,3,1,4,2,6,8]=>[6,7,5,4,3,1,2,8]=>[8,2,1,3,4,5,7,6]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[3,7,4,1,8,2,5,6]=>[6,8,4,3,7,1,5,2]=>[2,5,1,7,3,4,8,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[6,3,7,4,8,1,2,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,3,7,4,2,6,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,7,4,1,5,6,2,8]=>[7,6,4,3,5,2,1,8]=>[8,1,2,5,3,4,6,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[1,8,3,2,4,5,7,6]=>[1,8,4,3,5,6,7,2]=>[2,7,6,5,3,4,8,1]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]
[8,4,1,6,3,7,5,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,7,4,2,1,6,3,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,3,5,2,7,4,1,6]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,5,3,8,7,6,4,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,2,4,8,1,3,6,5]=>[8,5,6,7,2,3,4,1]=>[1,4,3,2,7,6,5,8]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]
[1,2,8,7,5,6,3,4]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[3,1,8,6,7,5,2,4]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[1,4,8,6,5,7,2,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,6,5,4,8,2,3,7]=>[1,7,6,4,8,3,2,5]=>[5,2,3,8,4,6,7,1]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]
[5,1,6,8,3,4,2,7]=>[7,2,6,8,5,3,1,4]=>[4,1,3,5,8,6,2,7]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]
[6,2,5,1,7,4,3,8]=>[7,4,6,2,5,3,1,8]=>[8,1,3,5,2,6,4,7]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[5,2,1,8,7,4,3,6]=>[7,3,2,8,6,5,1,4]=>[4,1,5,6,8,2,3,7]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]
[5,2,6,3,8,1,4,7]=>[7,6,4,3,8,2,1,5]=>[5,1,2,8,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[5,2,8,3,4,6,1,7]=>[7,5,8,4,2,6,1,3]=>[3,1,6,2,4,8,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[6,2,8,4,3,1,7,5]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[7,2,8,1,3,6,5,4]=>[8,4,7,2,5,6,3,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[7,3,8,1,4,6,2,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,7,8,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,5,8,4,6,3,7,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,3,8,4,1,2,7,6]=>[6,5,8,4,2,1,7,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[5,8,4,3,6,2,1,7]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[1,8,3,6,5,2,7,4]=>[1,8,6,7,5,3,4,2]=>[2,4,3,5,7,6,8,1]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[1,8,2,4,7,6,5,3]=>[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[3,8,1,4,6,7,5,2]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[3,8,2,5,1,7,6,4]=>[5,8,3,7,1,6,4,2]=>[2,4,6,1,7,3,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[4,3,8,2,5,1,6,7]=>[6,4,8,2,5,1,7,3]=>[3,7,1,5,2,8,4,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[8,2,4,3,5,1,7,6]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[8,2,1,4,6,5,7,3]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[8,1,3,4,5,7,6,2]=>[8,2,7,4,5,6,3,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[6,1,5,2,4,7,8,3]=>[8,2,5,4,3,6,7,1]=>[1,7,6,3,4,5,2,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[4,1,8,5,2,7,6,3]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[4,8,5,1,3,6,2,7]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[3,6,1,5,7,2,8,4]=>[6,8,3,4,5,1,7,2]=>[2,7,1,5,4,3,8,6]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]
[6,3,1,2,8,5,7,4]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[4,1,8,2,3,7,5,6]=>[5,2,8,4,1,7,6,3]=>[3,6,7,1,4,8,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[5,3,8,7,2,1,4,6]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[6,7,3,5,1,4,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,4,7,5,8,2,3,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,7,8,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,4,7,6,2,8,3,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,7,4,1,6,8,3,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,8,4,5,7,1,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,4,6,1,7,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,6,1,4,7,8,3,2]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[5,6,7,2,4,8,3,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,6,3,7,4,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,3,6,7,4,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,3,2,8,6,7,4,1]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,4,8,2,6,7,3,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,4,8,6,2,7,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,4,8,5,7,2,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,4,8,5,6,2,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,6,8,5,7,2,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,6,8,2,4,7,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,6,3,8,4,7,2,1]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[4,6,3,5,8,7,2,1]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[4,6,3,2,8,7,5,1]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[5,6,3,8,2,7,4,1]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[3,6,5,8,7,2,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,3,6,8,2,7,4,1]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[4,3,7,2,8,6,5,1]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[5,4,7,2,6,8,3,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,3,2,7,6,8,4,1]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[6,7,3,8,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,3,2,7,5,4,8,1]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[6,4,7,2,5,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,2,7,5,1,4,8,3]=>[8,5,6,4,2,3,7,1]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[2,7,8,5,3,6,1,4]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[6,3,7,8,4,2,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,5,7,8,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,3,7,8,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,7,8,2,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,5,8,4,3,7,6,1]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[2,6,8,4,7,3,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,7,4,8,6,2,1,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[3,6,4,8,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,5,4,8,2,7,6,1]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[4,3,7,5,8,6,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,5,7,3,8,6,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,5,6,8,4,7,2,1]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[6,3,1,8,7,5,4,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,4,8,1,7,6,3,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,8,4,1,7,6,3,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,5,4,1,8,6,3,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,5,4,1,7,6,3,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,8,2,5,6,3,4,7]=>[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[7,2,8,4,5,1,3,6]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[1,6,7,4,3,5,2,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[1,8,5,2,3,7,4,6]=>[1,8,7,4,5,6,3,2]=>[2,3,6,5,4,7,8,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[1,8,2,5,3,6,7,4]=>[1,8,3,7,5,6,4,2]=>[2,4,6,5,7,3,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[2,6,8,4,3,5,7,1]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[7,5,8,3,2,1,6,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,2,8,4,1,5,6,3]=>[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[7,5,8,1,2,6,3,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,5,2,6,4,7,8,3]=>[1,8,3,5,4,6,7,2]=>[2,7,6,4,5,3,8,1]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]
[1,5,4,6,2,3,7,8]=>[1,6,5,4,3,2,7,8]=>[8,7,2,3,4,5,6,1]=>[[[[.,.],[.,[.,[.,[.,.]]]]],.],.]
[6,2,5,7,1,4,8,3]=>[8,5,6,4,2,3,7,1]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[6,5,4,3,8,1,7,2]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[7,3,6,8,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,7,8,3,6,5,1,4]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[2,7,8,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,6,5,8,3,4,1,7]=>[7,6,5,8,3,2,1,4]=>[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[2,6,5,7,3,4,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,2,5,7,4,1,3,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,2,5,8,4,1,3,7]=>[7,6,5,8,3,2,1,4]=>[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[2,7,8,4,6,1,3,5]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[6,1,2,8,3,7,4,5]=>[8,2,3,7,5,6,4,1]=>[1,4,6,5,7,3,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[6,1,2,8,5,4,7,3]=>[8,2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[6,2,5,7,8,1,3,4]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[2,6,5,7,3,8,1,4]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[1,6,2,7,5,8,4,3]=>[1,8,3,7,5,6,4,2]=>[2,4,6,5,7,3,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,3,2,7,8,5,6,4]=>[1,3,2,8,7,6,5,4]=>[4,5,6,7,8,2,3,1]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]
[1,6,2,4,8,7,3,5]=>[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[6,5,2,1,8,7,3,4]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[2,6,5,3,7,8,4,1]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[6,2,5,3,8,4,7,1]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[6,5,2,3,8,7,1,4]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[5,4,1,2,3,8,6,7]=>[5,4,3,2,1,8,7,6]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[5,1,4,2,3,7,8,6]=>[5,2,4,3,1,8,7,6]=>[6,7,8,1,3,4,2,5]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]
[5,1,6,3,8,2,7,4]=>[8,2,6,4,7,3,5,1]=>[1,5,3,7,4,6,2,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[9,8,7,6,5,4,3,1,2,10]=>[9,8,7,6,5,4,3,2,1,10]=>[10,1,2,3,4,5,6,7,8,9]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[8,7,6,5,4,2,1,3,9]=>[8,7,6,5,4,3,2,1,9]=>[9,1,2,3,4,5,6,7,8]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[8,7,6,5,4,1,3,2,9]=>[8,7,6,5,4,3,2,1,9]=>[9,1,2,3,4,5,6,7,8]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[1,9,8,7,6,5,3,2,4]=>[1,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,8,7,6,2,5,4,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,9,8,7,6,5,2,4,3]=>[1,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,10,9,8,7,6,5,4,2,3]=>[1,10,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[2,1,9,8,7,6,5,4,3]=>[2,1,9,8,7,6,5,4,3]=>[3,4,5,6,7,8,9,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,2,9,8,7,6,5,4,3]=>[1,2,9,8,7,6,5,4,3]=>[3,4,5,6,7,8,9,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,2,1,9,8,7,6,5,4]=>[3,2,1,9,8,7,6,5,4]=>[4,5,6,7,8,9,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]]
[1,3,2,9,8,7,6,5,4]=>[1,3,2,9,8,7,6,5,4]=>[4,5,6,7,8,9,2,3,1]=>[[[.,.],[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[1,2,3,9,8,7,6,5,4]=>[1,2,3,9,8,7,6,5,4]=>[4,5,6,7,8,9,3,2,1]=>[[[[.,.],.],.],[.,[.,[.,[.,[.,.]]]]]]
[4,3,2,1,9,8,7,6,5]=>[4,3,2,1,9,8,7,6,5]=>[5,6,7,8,9,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]]
[1,2,3,4,9,8,7,6,5]=>[1,2,3,4,9,8,7,6,5]=>[5,6,7,8,9,4,3,2,1]=>[[[[[.,.],.],.],.],[.,[.,[.,[.,.]]]]]
[1,5,4,3,2,9,8,7,6]=>[1,5,4,3,2,9,8,7,6]=>[6,7,8,9,2,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[1,2,3,4,5,9,8,7,6]=>[1,2,3,4,5,9,8,7,6]=>[6,7,8,9,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],[.,[.,[.,.]]]]
[1,2,3,4,5,7,6,9,8]=>[1,2,3,4,5,7,6,9,8]=>[8,9,6,7,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],[.,.]],[.,.]]
[1,2,10,9,8,7,6,5,4,3]=>[1,2,10,9,8,7,6,5,4,3]=>[3,4,5,6,7,8,9,10,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,2,1,10,9,8,7,6,5,4]=>[3,2,1,10,9,8,7,6,5,4]=>[4,5,6,7,8,9,10,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,2,3,10,9,8,7,6,5,4]=>[1,2,3,10,9,8,7,6,5,4]=>[4,5,6,7,8,9,10,3,2,1]=>[[[[.,.],.],.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,2,3,4,10,9,8,7,6,5]=>[1,2,3,4,10,9,8,7,6,5]=>[5,6,7,8,9,10,4,3,2,1]=>[[[[[.,.],.],.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,2,3,4,5,6,10,9,8,7]=>[1,2,3,4,5,6,10,9,8,7]=>[7,8,9,10,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],[.,[.,[.,.]]]]
[1,2,3,4,5,6,7,10,9,8]=>[1,2,3,4,5,6,7,10,9,8]=>[8,9,10,7,6,5,4,3,2,1]=>[[[[[[[[.,.],.],.],.],.],.],.],[.,[.,.]]]
[5,2,7,4,1,6,3,8]=>[7,5,6,4,2,3,1,8]=>[8,1,3,2,4,6,5,7]=>[[.,[[.,.],[.,[[.,.],[.,.]]]]],.]
[4,7,3,1,5,6,2,8]=>[7,6,4,3,5,2,1,8]=>[8,1,2,5,3,4,6,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[5,8,3,4,1,6,7,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[1,7,8,4,5,6,2,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,5,8,4,2,6,7,3]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,6,3,8,5,2,7,4]=>[1,8,6,7,5,3,4,2]=>[2,4,3,5,7,6,8,1]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[5,2,3,7,1,6,4,8]=>[7,5,3,6,2,4,1,8]=>[8,1,4,2,6,3,5,7]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[6,2,3,7,5,1,4,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[1,7,3,4,8,6,2,5]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[6,2,3,4,8,1,7,5]=>[8,6,3,4,7,2,5,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[8,7,3,2,1,6,5,4]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,7,6,3,1,5,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,1,7,2,3,4,6]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[9,8,7,6,5,2,1,4,3]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,8,7,3,2,1,6,5,4]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,8,7,6,3,1,5,2,4]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,8,7,4,1,6,2,3,5]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[10,9,8,7,6,5,2,1,4,3]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,8,7,3,2,1,6,5,4]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,8,7,6,3,1,5,2,4]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,4,3,2,1,8,7,6,5]=>[10,9,6,5,4,3,8,7,2,1]=>[1,2,7,8,3,4,5,6,9,10]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]]]
[10,9,8,4,3,1,7,6,2,5]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,8,7,2,1,4,3,6,5]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,8,7,4,1,6,2,3,5]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,5,2,1,8,4,3,7,6]=>[10,9,8,5,4,7,6,3,2,1]=>[1,2,3,6,7,4,5,8,9,10]=>[.,[.,[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]]]
[10,9,5,4,1,8,7,2,3,6]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[10,9,8,3,1,5,2,7,4,6]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[10,9,2,1,4,3,6,5,8,7]=>[10,9,4,3,6,5,8,7,2,1]=>[1,2,7,8,5,6,3,4,9,10]=>[.,[.,[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]]]
[2,4,8,5,3,7,1,6]=>[7,5,8,4,2,6,1,3]=>[3,1,6,2,4,8,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[2,4,1,8,5,3,7,6]=>[3,6,1,8,5,2,7,4]=>[4,7,2,5,8,1,6,3]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[2,4,8,6,3,1,7,5]=>[6,5,8,7,2,1,4,3]=>[3,4,1,2,7,8,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]
[3,4,6,8,2,1,7,5]=>[6,5,8,7,2,1,4,3]=>[3,4,1,2,7,8,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]
[8,1,4,5,3,2,7,6]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[3,4,1,5,2,8,7,6]=>[5,3,2,4,1,8,7,6]=>[6,7,8,1,4,2,3,5]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]
[3,4,6,2,1,8,7,5]=>[5,4,8,2,1,7,6,3]=>[3,6,7,1,2,8,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[3,5,6,2,1,7,8,4]=>[5,8,4,3,1,6,7,2]=>[2,7,6,1,3,4,8,5]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[3,4,6,2,7,8,1,5]=>[7,4,8,2,5,6,1,3]=>[3,1,6,5,2,8,4,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[8,1,4,6,3,7,2,5]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,4,6,3,7,5,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,5,6,7,3,4,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,5,6,7,3,2,4]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,4,1,6,8,7,2,5]=>[7,3,2,8,6,5,1,4]=>[4,1,5,6,8,2,3,7]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]
[3,5,6,1,8,7,2,4]=>[7,8,4,3,6,5,1,2]=>[2,1,5,6,3,4,8,7]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]
[2,1,3,8,6,7,4,5]=>[2,1,3,8,7,6,5,4]=>[4,5,6,7,8,3,1,2]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]
[8,1,3,2,6,7,5,4]=>[8,2,4,3,7,6,5,1]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[2,3,8,6,7,1,5,4]=>[6,2,8,7,5,1,4,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[2,4,1,8,6,7,5,3]=>[3,8,1,7,6,5,4,2]=>[2,4,5,6,7,1,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[2,5,8,6,1,7,4,3]=>[5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[3,5,6,1,8,7,4,2]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[3,4,1,6,8,7,5,2]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[3,4,6,8,7,1,5,2]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[8,1,4,6,2,7,5,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,5,1,6,7,8,4,2]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[4,5,6,1,7,8,3,2]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[4,5,6,1,7,3,8,2]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[3,5,1,6,7,4,8,2]=>[8,6,3,4,5,2,7,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[8,1,5,6,7,4,2,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,5,6,7,4,3,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,5,1,6,7,4,2,8]=>[7,6,3,4,5,2,1,8]=>[8,1,2,5,4,3,6,7]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[4,5,6,1,7,3,2,8]=>[7,6,4,3,5,2,1,8]=>[8,1,2,5,3,4,6,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[6,5,8,7,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,4,2,7,8,5,1,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,1,4,8,7,5,2,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,6,4,8,7,5,2,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,6,2,4,7,3,5]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[8,1,6,2,4,7,3,5]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,6,2,1,4,8,3,5]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[6,4,1,7,8,5,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,6,1,2,4,8,3,5]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[7,6,1,3,4,8,2,5]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[8,1,6,3,4,7,2,5]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,8,6,3,4,7,2,5]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,7,2,5,4,8,3,6]=>[1,8,3,7,5,6,4,2]=>[2,4,6,5,7,3,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[7,1,2,5,4,8,3,6]=>[8,2,3,7,5,6,4,1]=>[1,4,6,5,7,3,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[2,7,1,5,4,8,3,6]=>[3,8,1,7,5,6,4,2]=>[2,4,6,5,7,1,8,3]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[2,8,6,3,4,7,1,5]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[2,8,6,1,4,7,3,5]=>[4,8,7,1,6,5,3,2]=>[2,3,5,6,1,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[7,2,1,5,4,8,3,6]=>[8,3,2,7,5,6,4,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[1,2,7,5,4,8,3,6]=>[1,2,8,7,5,6,4,3]=>[3,4,6,5,7,8,2,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[3,2,7,5,4,8,1,6]=>[7,2,8,5,4,6,1,3]=>[3,1,6,4,5,8,2,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[2,3,7,5,4,8,1,6]=>[7,2,8,5,4,6,1,3]=>[3,1,6,4,5,8,2,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[6,8,3,2,4,7,1,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,7,2,5,4,8,1,6]=>[7,8,3,5,4,6,1,2]=>[2,1,6,4,5,3,8,7]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[3,1,7,5,4,8,2,6]=>[7,2,8,5,4,6,1,3]=>[3,1,6,4,5,8,2,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[1,5,8,4,7,3,2,6]=>[1,7,8,6,5,4,2,3]=>[3,2,4,5,6,8,7,1]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[5,1,8,4,7,3,2,6]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[5,8,2,4,7,3,1,6]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[6,8,4,3,7,5,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,5,6,2,1,4,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,2,4,7,3,1,6]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,1,5,4,7,3,2,6]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,8,5,4,7,3,2,6]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,7,3,5,4,8,2,6]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[8,6,3,1,4,7,2,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,6,4,2,7,5,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,4,1,7,2,5,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,3,7,4,6,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,1,3,2,7,8,5,6]=>[4,2,3,1,8,7,6,5]=>[5,6,7,8,1,3,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]
[1,4,3,2,7,8,5,6]=>[1,4,3,2,8,7,6,5]=>[5,6,7,8,2,3,4,1]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]
[2,4,3,1,7,8,5,6]=>[4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[2,7,3,5,4,8,1,6]=>[7,8,3,5,4,6,1,2]=>[2,1,6,4,5,3,8,7]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[2,8,5,4,7,3,1,6]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[5,7,3,4,6,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,2,5,4,7,3,1,6]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,2,3,5,4,8,1,6]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[3,2,1,4,7,8,5,6]=>[3,2,1,4,8,7,6,5]=>[5,6,7,8,4,1,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]
[8,1,7,6,4,3,5,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,6,4,5,2,7,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,1,8,6,4,3,5,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,4,2,5,1,6,3,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,3,6,5,2,1,4,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,3,6,5,2,1,7,4]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[7,3,6,5,2,1,8,4]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,5,8,6,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,4,2,8,1,3,7,6]=>[6,5,3,8,2,1,7,4]=>[4,7,1,2,8,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[5,8,2,6,4,1,3,7]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[6,4,2,5,1,8,3,7]=>[7,5,4,3,2,8,1,6]=>[6,1,8,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[6,3,5,2,1,4,7,8]=>[6,5,4,3,2,1,7,8]=>[8,7,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[2,5,8,6,3,1,4,7]=>[6,7,8,5,4,1,2,3]=>[3,2,1,4,5,8,7,6]=>[[[.,.],.],[.,[.,[[[.,.],.],.]]]]
[2,3,5,8,1,4,7,6]=>[5,2,6,8,1,3,7,4]=>[4,7,3,1,8,6,2,5]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]
[2,3,6,8,1,5,7,4]=>[5,2,8,7,1,6,4,3]=>[3,4,6,1,7,8,2,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[6,3,8,5,2,7,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,3,7,5,2,1,4,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[2,5,7,6,3,1,4,8]=>[6,7,5,4,3,1,2,8]=>[8,2,1,3,4,5,7,6]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[2,8,7,6,3,1,5,4]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[2,5,8,7,6,3,1,4]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[2,4,8,1,6,5,7,3]=>[4,8,7,1,6,5,3,2]=>[2,3,5,6,1,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[7,3,5,2,1,4,6,8]=>[7,5,6,4,2,3,1,8]=>[8,1,3,2,4,6,5,7]=>[[.,[[.,.],[.,[[.,.],[.,.]]]]],.]
[8,4,2,5,1,3,7,6]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[2,3,6,8,1,4,7,5]=>[5,2,8,7,1,6,4,3]=>[3,4,6,1,7,8,2,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[2,7,8,6,3,1,4,5]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[7,3,8,5,2,1,4,6]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[2,3,6,1,8,4,7,5]=>[4,2,8,1,7,6,5,3]=>[3,5,6,7,1,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[2,8,6,3,1,4,5,7]=>[5,8,7,4,1,6,3,2]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[8,3,5,2,1,4,6,7]=>[8,5,6,4,2,3,7,1]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[2,4,8,1,3,7,5,6]=>[4,5,8,1,2,7,6,3]=>[3,6,7,2,1,8,5,4]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]
[2,5,8,1,7,3,6,4]=>[4,8,7,1,6,5,3,2]=>[2,3,5,6,1,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[2,8,1,5,7,3,6,4]=>[3,8,1,7,6,5,4,2]=>[2,4,5,6,7,1,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[8,3,6,1,4,7,5,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,8,6,1,4,7,5,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,6,8,1,5,7,3,4]=>[4,8,7,1,6,5,3,2]=>[2,3,5,6,1,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[2,7,1,5,8,3,4,6]=>[3,8,1,7,6,5,4,2]=>[2,4,5,6,7,1,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[2,7,1,6,3,8,4,5]=>[3,8,1,7,5,6,4,2]=>[2,4,6,5,7,1,8,3]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[4,7,6,1,8,5,2,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,7,5,8,1,2,6,4]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[7,3,6,1,2,8,4,5]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[7,4,8,1,6,5,2,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,4,6,1,8,2,5,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,4,5,8,6,1,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,4,5,1,7,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,6,8,5,1,7,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,1,7,6,2,3,8,4]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[5,1,7,6,2,8,3,4]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[5,1,8,7,6,2,3,4]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,5,1,7,6,2,3,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,5,1,6,2,7,3,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,6,1,8,4,7,5,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,6,1,8,7,5,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,4,6,1,7,5,2,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,8,5,1,7,2,3,6]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[4,5,1,8,7,2,3,6]=>[7,6,3,8,5,2,1,4]=>[4,1,2,5,8,3,6,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[3,4,8,7,1,2,5,6]=>[6,5,8,7,2,1,4,3]=>[3,4,1,2,7,8,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]
[5,8,4,1,7,2,3,6]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[8,6,4,7,1,2,5,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,4,8,7,1,2,5,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,6,8,3,7,1,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,4,7,1,2,8,5,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,5,1,2,7,3,8,4]=>[8,6,3,4,5,2,7,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[6,5,1,8,2,7,3,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,6,5,1,2,7,3,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,6,5,1,7,2,3,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,5,1,8,7,2,3,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,5,1,7,2,8,3,4]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[6,5,1,7,2,3,8,4]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[5,7,4,1,8,2,3,6]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[5,6,8,7,4,1,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,5,7,4,1,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,3,8,1,5,2,4,6]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[2,5,8,3,4,6,7,1]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[4,1,7,2,3,6,8,5]=>[5,2,8,4,1,6,7,3]=>[3,7,6,1,4,8,2,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[4,6,2,1,5,7,8,3]=>[8,5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[4,5,2,3,1,7,8,6]=>[5,4,3,2,1,8,7,6]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[5,6,2,7,1,4,8,3]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,2,3,8,1,7,4,5]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[2,6,8,3,4,7,1,5]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[4,6,2,7,5,1,3,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[2,6,3,1,8,4,5,7]=>[4,7,3,1,8,6,2,5]=>[5,2,6,8,1,3,7,4]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]
[2,4,3,7,8,1,5,6]=>[6,3,2,8,7,1,5,4]=>[4,5,1,7,8,2,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]
[5,3,2,7,4,8,1,6]=>[7,5,3,8,2,6,1,4]=>[4,1,6,2,8,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[5,1,2,7,6,8,4,3]=>[8,2,3,7,5,6,4,1]=>[1,4,6,5,7,3,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[2,6,3,1,8,7,4,5]=>[4,8,3,1,7,6,5,2]=>[2,5,6,7,1,3,8,4]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[3,5,6,4,7,8,1,2]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[5,3,6,4,2,8,7,1]=>[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[5,4,2,3,7,8,6,1]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[4,1,8,2,5,7,3,6]=>[7,2,8,4,5,6,1,3]=>[3,1,6,5,4,8,2,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[3,1,8,4,7,2,5,6]=>[6,2,8,4,7,1,5,3]=>[3,5,1,7,4,8,2,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[6,2,3,8,4,1,7,5]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[2,6,4,1,5,3,8,7]=>[4,6,5,1,3,2,8,7]=>[7,8,2,3,1,5,6,4]=>[[[.,.],[.,[[.,.],[.,.]]]],[.,.]]
[6,2,1,4,7,8,3,5]=>[8,3,2,7,5,6,4,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[2,6,5,1,7,8,3,4]=>[4,8,7,1,5,6,3,2]=>[2,3,6,5,1,7,8,4]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[4,7,5,2,1,6,3,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,2,3,7,8,1,6,5]=>[6,3,2,8,7,1,5,4]=>[4,5,1,7,8,2,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]
[5,8,3,1,7,2,4,6]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[6,8,3,1,5,2,4,7]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[4,2,7,1,6,3,5,8]=>[6,4,7,2,5,1,3,8]=>[8,3,1,5,2,7,4,6]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[6,8,4,2,1,5,3,7]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[6,8,5,2,1,7,3,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,2,1,4,7,3,6]=>[7,8,4,3,5,6,1,2]=>[2,1,6,5,3,4,8,7]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]
[6,8,3,2,5,1,7,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,8,4,3,1,5,7,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,4,2,1,5,7,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,3,2,1,4,5,7]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[5,1,7,3,2,4,6,8]=>[6,2,7,5,4,1,3,8]=>[8,3,1,4,5,7,2,6]=>[[[.,[.,.]],[.,[.,[[.,.],.]]]],.]
[5,2,1,8,3,6,7,4]=>[8,3,2,7,5,6,4,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[4,3,8,1,6,2,7,5]=>[6,4,8,2,7,1,5,3]=>[3,5,1,7,2,8,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[5,4,7,2,1,6,8,3]=>[8,5,6,4,2,3,7,1]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[5,2,1,7,3,4,8,6]=>[6,3,2,8,5,1,7,4]=>[4,7,1,5,8,2,3,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[6,4,3,1,7,5,8,2]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[5,3,1,7,2,6,8,4]=>[8,5,3,6,2,4,7,1]=>[1,7,4,2,6,3,5,8]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[3,2,1,7,6,4,8,5]=>[3,2,1,8,6,5,7,4]=>[4,7,5,6,8,1,2,3]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[4,2,1,6,5,8,3,7]=>[7,3,2,5,4,8,1,6]=>[6,1,8,4,5,2,3,7]=>[[.,[[.,[.,.]],[.,.]]],[[.,.],.]]
[4,2,1,8,5,7,3,6]=>[7,3,2,8,5,6,1,4]=>[4,1,6,5,8,2,3,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[7,4,3,1,8,5,6,2]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[7,4,2,1,8,5,6,3]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[6,4,2,1,7,5,3,8]=>[7,6,4,3,5,2,1,8]=>[8,1,2,5,3,4,6,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[7,5,2,1,8,6,3,4]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[6,1,8,4,2,7,3,5]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,2,1,8,3,7,4,5]=>[8,3,2,7,5,6,4,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[5,2,1,7,3,6,4,8]=>[7,3,2,6,5,4,1,8]=>[8,1,4,5,6,2,3,7]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[5,3,2,7,6,1,4,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[5,3,2,8,6,1,4,7]=>[7,6,3,8,5,2,1,4]=>[4,1,2,5,8,3,6,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[6,3,2,8,7,1,4,5]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[4,2,8,1,7,3,5,6]=>[6,4,8,2,7,1,5,3]=>[3,5,1,7,2,8,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[4,3,8,7,2,1,5,6]=>[6,5,8,7,2,1,4,3]=>[3,4,1,2,7,8,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]
[2,1,5,8,4,7,3,6]=>[2,1,7,8,5,6,3,4]=>[4,3,6,5,8,7,1,2]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]
[4,3,1,6,2,7,5,8]=>[5,3,2,7,1,6,4,8]=>[8,4,6,1,7,2,3,5]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[4,3,1,7,2,8,5,6]=>[5,3,2,8,1,7,6,4]=>[4,6,7,1,8,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[5,4,1,7,2,8,6,3]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[6,5,3,1,7,8,4,2]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[6,4,2,1,7,8,3,5]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[5,4,2,1,6,7,3,8]=>[7,4,3,2,5,6,1,8]=>[8,1,6,5,2,3,4,7]=>[[.,[[[.,[.,[.,.]]],.],[.,.]]],.]
[5,3,2,1,6,7,4,8]=>[7,4,3,2,5,6,1,8]=>[8,1,6,5,2,3,4,7]=>[[.,[[[.,[.,[.,.]]],.],[.,.]]],.]
[6,4,2,1,7,8,5,3]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[5,3,2,6,8,1,7,4]=>[8,6,3,4,7,2,5,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[3,2,1,4,8,7,5,6]=>[3,2,1,4,8,7,6,5]=>[5,6,7,8,4,1,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]
[3,2,1,4,6,8,5,7]=>[3,2,1,4,7,8,5,6]=>[6,5,8,7,4,1,2,3]=>[[[[.,[.,[.,.]]],.],.],[[.,.],.]]
[4,3,2,6,1,7,8,5]=>[5,3,2,8,1,6,7,4]=>[4,7,6,1,8,2,3,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[8,6,1,4,5,7,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,8,6,4,5,7,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,2,8,3,7,4,6,1]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[6,2,8,5,4,7,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,8,6,3,7,4,2,5]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,6,5,7,2,3,4]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,2,8,4,3,6,7,1]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[5,4,2,7,3,6,1,8]=>[7,5,3,6,2,4,1,8]=>[8,1,4,2,6,3,5,7]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[5,4,2,8,3,6,1,7]=>[7,5,3,8,2,6,1,4]=>[4,1,6,2,8,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[6,5,3,8,4,7,2,1]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[5,2,8,4,3,7,1,6]=>[7,5,8,4,2,6,1,3]=>[3,1,6,2,4,8,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[6,2,8,3,7,4,1,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,4,2,7,3,1,8,6]=>[6,5,3,8,2,1,7,4]=>[4,7,1,2,8,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[6,4,3,7,1,2,8,5]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,4,3,8,1,2,7,5]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[7,6,3,8,4,2,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,2,8,5,1,6,3,4]=>[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[7,2,8,4,3,1,5,6]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[7,5,3,8,4,2,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,4,2,7,3,1,5,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,6,4,8,2,3,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,8,1,2,5,3,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,3,1,7,8,4,6,2]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[5,3,2,7,8,4,6,1]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[6,5,1,7,8,2,3,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,3,1,7,8,4,2,5]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,4,1,7,3,8,2,6]=>[7,5,3,8,2,6,1,4]=>[4,1,6,2,8,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[6,3,2,7,8,4,1,5]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,1,5,4,3,2,8,7]=>[6,2,5,4,3,1,8,7]=>[7,8,1,3,4,5,2,6]=>[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]
[8,7,6,1,3,5,2,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,1,6,5,7,3,4,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,4,1,5,7,6,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,8,6,2,5,3,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,1,3,5,2,8,4,7]=>[7,2,5,4,3,8,1,6]=>[6,1,8,3,4,5,2,7]=>[[.,[[.,.],[.,[.,.]]]],[[.,.],.]]
[8,1,3,7,4,2,5,6]=>[8,2,6,7,5,3,4,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[4,3,8,7,5,2,1,6]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[6,7,1,8,5,3,4,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,7,6,4,8,3,5,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,5,2,7,1,4,8,3]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,4,6,1,3,2,8,5]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,5,2,1,3,8,4,6]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[8,4,7,6,3,1,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,4,1,5,6,3,8,2]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[3,4,7,5,6,1,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[2,4,7,5,6,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,4,1,7,6,2,8,3]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[3,5,6,7,1,4,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[2,7,6,1,3,4,8,5]=>[4,8,6,1,5,3,7,2]=>[2,7,3,5,1,6,8,4]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[5,7,2,1,6,3,8,4]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[4,7,2,5,6,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,6,2,5,7,1,4,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,7,4,5,3,8,1,6]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[6,8,7,1,3,2,5,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,8,6,5,7,1,4,3]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[5,8,4,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[1,8,5,6,2,4,7,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,1,5,6,2,4,7,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,4,8,1,3,2,7,5]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[2,3,1,7,8,6,4,5]=>[3,2,1,8,7,6,5,4]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[3,5,7,6,2,8,1,4]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[4,5,6,1,2,8,7,3]=>[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[5,4,1,2,8,6,7,3]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[8,4,5,2,1,6,7,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,1,2,6,8,4,7,5]=>[3,2,1,8,7,6,5,4]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[5,1,3,2,7,8,4,6]=>[7,2,4,3,8,6,1,5]=>[5,1,6,8,3,4,2,7]=>[[.,[[.,.],[.,.]]],[.,[[.,.],.]]]
[1,5,4,2,7,8,3,6]=>[1,7,4,3,8,6,2,5]=>[5,2,6,8,3,4,7,1]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]
[4,6,7,8,3,1,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,2,8,4,3,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,2,8,6,3,4,7,1]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[5,6,8,4,3,2,7,1]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[3,6,7,8,4,2,1,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[6,5,1,8,4,3,7,2]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[6,3,8,4,2,1,7,5]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[2,5,8,3,1,6,7,4]=>[5,8,7,4,1,6,3,2]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[3,5,8,1,2,6,7,4]=>[5,8,7,4,1,6,3,2]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[3,2,8,1,5,6,7,4]=>[4,2,8,1,7,6,5,3]=>[3,5,6,7,1,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[1,5,8,3,2,6,7,4]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,3,8,6,2,4,7,5]=>[1,5,8,7,2,6,4,3]=>[3,4,6,2,7,8,5,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[3,2,7,8,4,6,1,5]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[5,1,8,3,4,6,7,2]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[4,8,7,2,1,6,3,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[2,8,1,6,3,4,7,5]=>[3,8,1,7,5,6,4,2]=>[2,4,6,5,7,1,8,3]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[8,3,4,2,1,6,5,7]=>[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[6,4,7,2,5,8,1,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,4,5,2,6,3,1,7]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,4,5,8,3,6,1,7]=>[7,5,3,8,2,6,1,4]=>[4,1,6,2,8,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[3,5,8,1,2,6,4,7]=>[5,7,8,4,1,6,2,3]=>[3,2,6,1,4,8,7,5]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]
[8,6,1,3,5,2,4,7]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,5,1,2,6,4,3,7]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[5,8,6,1,3,4,2,7]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[5,8,4,6,1,3,2,7]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[7,3,4,5,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,7,4,3,6,1,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[2,6,4,3,7,8,5,1]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[7,4,1,8,3,2,5,6]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[6,2,1,7,8,4,5,3]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[7,6,3,1,5,4,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[2,4,6,5,1,7,8,3]=>[5,8,4,3,1,6,7,2]=>[2,7,6,1,3,4,8,5]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[1,4,7,5,6,8,2,3]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,4,7,6,5,8,2,3]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[3,7,5,2,4,6,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,6,1,7,4,2,8,3]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[3,7,4,8,1,2,6,5]=>[6,8,5,7,3,1,4,2]=>[2,4,1,3,7,5,8,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[6,3,5,7,8,1,4,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,6,5,7,1,8,4,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,4,7,8,2,1,3,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,3,8,4,1,2,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,7,8,3,4,6,1,5]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[7,5,8,4,1,3,2,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,7,5,8,3,1,2,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[3,6,7,4,8,1,2,5]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[5,7,3,1,6,8,4,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,7,3,1,8,6,4,5]=>[4,8,3,1,7,6,5,2]=>[2,5,6,7,1,3,8,4]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[2,8,4,3,1,5,7,6]=>[5,8,4,3,1,6,7,2]=>[2,7,6,1,3,4,8,5]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[4,8,1,2,3,5,7,6]=>[5,8,3,4,1,6,7,2]=>[2,7,6,1,4,3,8,5]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]
[7,6,8,1,2,4,3,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,6,8,5,1,3,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,5,2,7,6,1,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,7,6,4,1,2,5,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,1,3,5,2,8,4]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[5,7,2,3,6,8,1,4]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,5,3,2,7,6,1,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,4,6,7,5,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,4,5,7,6,1,8,2]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[2,6,4,5,7,8,3,1]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[5,4,6,1,3,7,8,2]=>[8,5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[6,3,5,7,1,4,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,3,4,6,8,1,5,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,5,2,8,4,1,3,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,7,6,4,1,8,2,5]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[3,7,8,4,1,5,6,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,5,4,2,1,6,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,5,8,6,7,4,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,1,6,7,3,4,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,7,2,5,1,8,4,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,8,2,1,6,7,4,3]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[4,5,2,8,6,3,7,1]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[3,6,1,2,5,8,4,7]=>[4,7,3,1,5,8,2,6]=>[6,2,8,5,1,3,7,4]=>[[[.,.],[[.,[.,.]],.]],[[.,.],.]]
[1,4,5,8,2,3,7,6]=>[1,6,5,8,3,2,7,4]=>[4,7,2,3,8,5,6,1]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[1,2,6,4,5,8,3,7]=>[1,2,7,5,4,8,3,6]=>[6,3,8,4,5,7,2,1]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]
[3,6,1,5,8,2,4,7]=>[6,7,3,4,8,1,2,5]=>[5,2,1,8,4,3,7,6]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]
[2,6,5,1,4,8,3,7]=>[4,7,5,1,3,8,2,6]=>[6,2,8,3,1,5,7,4]=>[[[.,.],[.,[[.,.],.]]],[[.,.],.]]
[5,2,6,1,4,8,3,7]=>[7,4,5,2,3,8,1,6]=>[6,1,8,3,2,5,4,7]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]
[2,5,1,8,4,7,3,6]=>[3,7,1,8,5,6,2,4]=>[4,2,6,5,8,1,7,3]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[2,7,1,4,3,6,8,5]=>[3,8,1,5,4,6,7,2]=>[2,7,6,4,5,1,8,3]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]
[1,3,7,5,8,2,4,6]=>[1,6,8,7,5,2,4,3]=>[3,4,2,5,7,8,6,1]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]
[8,2,1,5,7,3,4,6]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[2,5,4,8,1,3,7,6]=>[5,6,3,8,1,2,7,4]=>[4,7,2,1,8,3,6,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[2,4,1,3,8,6,7,5]=>[3,4,1,2,8,7,6,5]=>[5,6,7,8,2,1,4,3]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]
[8,4,3,7,1,2,6,5]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[1,7,3,5,8,2,6,4]=>[1,8,6,7,5,3,4,2]=>[2,4,3,5,7,6,8,1]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[1,8,4,2,6,7,3,5]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[3,1,6,8,7,2,4,5]=>[6,2,8,7,5,1,4,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[7,2,1,6,8,3,4,5]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[3,1,7,6,8,2,4,5]=>[6,2,8,7,5,1,4,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[4,1,7,2,6,8,3,5]=>[7,2,8,4,5,6,1,3]=>[3,1,6,5,4,8,2,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[5,1,7,2,3,6,8,4]=>[8,2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[2,6,1,7,3,5,8,4]=>[3,8,1,6,5,4,7,2]=>[2,7,4,5,6,1,8,3]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[3,5,8,1,2,7,4,6]=>[5,7,8,4,1,6,2,3]=>[3,2,6,1,4,8,7,5]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]
[3,6,8,1,2,4,7,5]=>[5,8,7,4,1,6,3,2]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,3,7,4,8,2,6,5]=>[1,6,8,4,7,2,5,3]=>[3,5,2,7,4,8,6,1]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[1,4,6,8,2,3,7,5]=>[1,6,8,7,5,2,4,3]=>[3,4,2,5,7,8,6,1]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]
[2,6,8,1,7,3,4,5]=>[4,8,7,1,6,5,3,2]=>[2,3,5,6,1,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[6,1,5,8,2,3,7,4]=>[8,2,6,7,5,3,4,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[3,1,7,2,8,5,6,4]=>[4,2,8,1,7,6,5,3]=>[3,5,6,7,1,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[8,4,1,7,3,6,2,5]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,7,2,8,6,1,5,4]=>[6,8,3,7,5,1,4,2]=>[2,4,1,5,7,3,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[6,2,3,8,7,1,5,4]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[5,1,7,8,4,2,6,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,1,8,7,4,2,6,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,7,2,8,3,6,5,1]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[4,1,7,8,5,3,6,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,1,7,4,8,3,6,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,1,8,7,5,3,6,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,8,2,7,3,6,5,1]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[4,7,2,6,3,5,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,8,2,4,3,7,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,2,4,3,8,5,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,8,2,7,3,5,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,6,8,2,4,5,7,1]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[3,6,7,2,4,5,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,5,1,4,2,3,8,7]=>[6,5,3,4,2,1,8,7]=>[7,8,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]
[8,6,1,7,2,5,4,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,7,6,1,2,3,5,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,3,4,7,1,6,2,5]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[6,3,4,1,8,5,2,7]=>[7,6,4,3,8,2,1,5]=>[5,1,2,8,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[2,8,6,7,5,3,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,1,8,7,3,6,4,5]=>[2,1,8,7,5,6,4,3]=>[3,4,6,5,7,8,1,2]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[3,6,5,8,2,4,7,1]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[5,2,1,8,7,3,4,6]=>[7,3,2,8,6,5,1,4]=>[4,1,5,6,8,2,3,7]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]
[6,5,2,7,4,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,6,5,2,7,3,8,1]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[6,2,7,1,8,3,5,4]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[2,7,5,4,8,3,6,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,7,5,1,2,6,4,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,4,3,2,7,1,6,5]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[7,1,6,2,3,8,5,4]=>[8,2,7,4,5,6,3,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[4,8,1,3,2,7,5,6]=>[5,8,3,4,1,7,6,2]=>[2,6,7,1,4,3,8,5]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[3,8,1,4,7,5,2,6]=>[7,8,3,4,6,5,1,2]=>[2,1,5,6,4,3,8,7]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]
[6,3,8,7,4,5,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,1,4,8,5,2,3,7]=>[7,2,6,8,5,3,1,4]=>[4,1,3,5,8,6,2,7]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]
[8,5,7,4,6,2,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,6,7,8,2,3,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,4,6,2,1,5,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,1,3,5,2,8,4]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[5,8,3,2,4,6,1,7]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[8,2,6,5,3,1,7,4]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[4,8,7,6,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,1,8,6,4,3,7,5]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,7,6,5,3,8,4]=>[2,1,8,6,5,4,7,3]=>[3,7,4,5,6,8,1,2]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[2,7,6,1,3,5,8,4]=>[4,8,6,1,5,3,7,2]=>[2,7,3,5,1,6,8,4]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[7,2,5,4,6,1,8,3]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,7,6,1,2,5,8,3]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[2,4,1,7,6,8,5,3]=>[3,8,1,7,5,6,4,2]=>[2,4,6,5,7,1,8,3]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[3,4,1,7,8,5,6,2]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[7,5,4,3,1,8,6,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,5,6,2,7,3,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,2,5,6,1,7,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,3,5,4,1,7,8,2]=>[8,5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[1,7,5,3,8,2,4,6]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,7,2,4,5,8,3,6]=>[1,8,3,7,5,6,4,2]=>[2,4,6,5,7,3,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[8,2,5,3,1,6,4,7]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[1,7,4,5,8,3,2,6]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,6,4,7,8,3,5,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,6,4,7,8,3,1,5]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[1,2,6,4,7,8,3,5]=>[1,2,8,7,5,6,4,3]=>[3,4,6,5,7,8,2,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[2,7,5,3,1,8,4,6]=>[5,8,7,4,1,6,3,2]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[6,1,4,7,8,3,5,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,6,4,7,8,1,5,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,3,6,7,1,8,5,2]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[4,3,6,7,1,8,2,5]=>[7,5,8,4,2,6,1,3]=>[3,1,6,2,4,8,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[3,6,4,7,8,1,2,5]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[2,3,6,4,1,7,8,5]=>[5,2,8,4,1,6,7,3]=>[3,7,6,1,4,8,2,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[4,7,2,1,5,3,8,6]=>[6,8,4,3,5,1,7,2]=>[2,7,1,5,3,4,8,6]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]
[3,7,4,5,2,1,8,6]=>[6,8,5,4,3,1,7,2]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[1,3,6,4,7,2,8,5]=>[1,6,8,4,5,2,7,3]=>[3,7,2,5,4,8,6,1]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]
[3,6,4,7,2,8,5,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,1,3,4,2,7,8,6]=>[5,2,4,3,1,8,7,6]=>[6,7,8,1,3,4,2,5]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]
[5,4,2,1,3,7,8,6]=>[5,4,3,2,1,8,7,6]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[6,1,7,3,8,2,5,4]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,6,7,3,8,2,5,4]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,1,4,7,8,5,2,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,3,2,1,7,8,5,4]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[6,2,7,3,1,8,5,4]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[6,2,4,7,8,1,5,3]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[2,6,7,3,1,8,5,4]=>[5,8,7,4,1,6,3,2]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[8,6,5,1,3,2,4,7]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,4,7,8,3,2,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,8,4,7,1,2,5,6]=>[6,8,5,7,3,1,4,2]=>[2,4,1,3,7,5,8,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[8,6,1,2,5,4,3,7]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[4,8,6,1,5,3,2,7]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[5,8,6,4,1,3,2,7]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[8,3,6,4,5,2,1,7]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,5,7,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,3,8,7,1,6,4,5]=>[5,2,8,7,1,6,4,3]=>[3,4,6,1,7,8,2,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[4,3,7,8,1,6,2,5]=>[7,5,8,6,2,4,1,3]=>[3,1,4,2,6,8,5,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[3,5,8,7,4,1,2,6]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[7,3,8,4,1,2,5,6]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[4,8,1,2,7,3,5,6]=>[6,8,3,4,7,1,5,2]=>[2,5,1,7,4,3,8,6]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[6,8,1,2,7,4,5,3]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[5,6,8,4,1,3,7,2]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[8,5,4,7,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,5,8,7,3,6,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,4,8,7,5,6,1,3]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[3,7,4,8,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,4,8,7,5,1,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,8,5,2,4,6,7,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,7,1,8,4,6,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,3,8,7,2,1,4,5]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[2,3,7,8,5,6,1,4]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[3,7,6,8,5,1,2,4]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[2,6,7,8,5,1,3,4]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[2,4,7,8,1,6,3,5]=>[5,7,8,6,1,4,2,3]=>[3,2,4,1,6,8,7,5]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]]
[5,4,7,8,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,8,3,4,1,5,7,6]=>[5,8,3,4,1,6,7,2]=>[2,7,6,1,4,3,8,5]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]
[6,8,3,4,1,2,7,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,7,1,5,2,3,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,8,3,2,7,6,1,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,5,3,1,8,6,7,4]=>[4,8,3,1,7,6,5,2]=>[2,5,6,7,1,3,8,4]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[4,5,3,2,8,6,7,1]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[3,5,8,6,1,4,7,2]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[2,8,5,6,1,4,7,3]=>[5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[4,8,6,1,5,2,7,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,8,2,3,7,6,1,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,6,8,5,3,2,7,1]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[2,6,4,8,5,1,7,3]=>[6,8,5,7,3,1,4,2]=>[2,4,1,3,7,5,8,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[7,6,4,8,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,4,8,6,5,2,7,1]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[3,4,8,7,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,5,3,2,8,6,1,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,5,1,2,8,6,7,3]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[5,4,8,1,3,6,7,2]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[8,3,5,4,1,6,7,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,3,4,8,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,1,5,7,2,4,8,3]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[7,4,5,1,2,3,8,6]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,4,3,1,2,8,5,6]=>[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[8,4,7,6,2,1,5,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,6,5,7,1,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,2,1,4,5,8,3,6]=>[8,3,2,7,5,6,4,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[7,4,1,6,3,5,8,2]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[3,5,7,6,4,1,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,7,5,2,1,3,8,6]=>[6,8,5,4,3,1,7,2]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[5,7,2,3,6,4,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,6,2,3,7,1,4,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,7,2,4,8,3,6,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,7,2,4,8,6,3,5]=>[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[7,6,1,5,4,8,3,2]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[4,7,3,2,1,8,5,6]=>[5,8,4,3,1,7,6,2]=>[2,6,7,1,3,4,8,5]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[3,1,7,2,5,8,4,6]=>[4,2,8,1,7,6,5,3]=>[3,5,6,7,1,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[4,8,7,6,1,2,5,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,6,1,3,2,5,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,8,6,7,4,1,3,5]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[5,8,6,4,2,3,1,7]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[2,8,3,1,6,5,4,7]=>[4,8,3,1,7,6,5,2]=>[2,5,6,7,1,3,8,4]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[3,8,1,2,5,7,4,6]=>[4,8,3,1,7,6,5,2]=>[2,5,6,7,1,3,8,4]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[6,8,5,4,2,7,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,3,1,2,4,5,7]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[4,6,8,7,3,1,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,5,3,7,8,4,1,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,1,3,8,7,5,6,2]=>[8,2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[6,2,7,4,8,1,3,5]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[8,4,5,2,1,6,3,7]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,3,2,6,8,1,7,5]=>[6,3,2,8,7,1,5,4]=>[4,5,1,7,8,2,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]
[7,1,5,6,3,8,2,4]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[5,1,2,4,7,8,3,6]=>[7,2,3,4,8,6,1,5]=>[5,1,6,8,4,3,2,7]=>[[.,[[[.,.],.],.]],[.,[[.,.],.]]]
[3,5,4,2,8,1,6,7]=>[6,4,3,2,8,1,7,5]=>[5,7,1,8,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[6,2,8,7,3,5,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,1,8,4,3,6,5,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,6,8,7,4,1,2,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[5,6,8,1,7,3,2,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,1,6,8,7,4,2,5]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[7,4,6,8,2,1,5,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,5,8,4,3,1,2,7]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[2,5,8,3,6,7,4,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,5,1,3,7,4,6,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,5,8,3,7,4,2,6]=>[1,7,8,6,5,4,2,3]=>[3,2,4,5,6,8,7,1]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[3,8,2,7,1,5,6,4]=>[5,8,3,7,1,6,4,2]=>[2,4,6,1,7,3,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[5,8,2,3,6,4,1,7]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[6,8,2,3,4,7,5,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,5,8,7,4,2,6,1]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[7,5,1,8,4,2,6,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,6,8,5,2,7,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,1,6,5,4,8,3,7]=>[2,1,7,5,4,8,3,6]=>[6,3,8,4,5,7,1,2]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]
[2,1,7,8,4,6,5,3]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[3,5,7,8,4,6,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,5,2,8,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,2,3,5,7,1,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,8,2,4,3,1,5,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,3,8,1,5,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,2,7,1,3,5,8,4]=>[8,4,6,2,5,3,7,1]=>[1,7,3,5,2,6,4,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[6,1,8,2,3,5,4,7]=>[7,2,8,4,5,6,1,3]=>[3,1,6,5,4,8,2,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[7,2,4,1,6,3,8,5]=>[8,4,6,2,5,3,7,1]=>[1,7,3,5,2,6,4,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[8,4,3,1,7,5,2,6]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[7,3,1,4,6,8,5,2]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[7,3,8,5,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,3,8,7,1,6,5,2]=>[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[4,7,1,8,5,2,6,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,3,2,4,7,8,6,1]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[5,2,4,3,6,8,1,7]=>[7,4,3,2,5,8,1,6]=>[6,1,8,5,2,3,4,7]=>[[.,[[.,[.,[.,.]]],.]],[[.,.],.]]
[3,8,6,5,4,1,2,7]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[4,7,5,6,3,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,8,5,7,2,3,1,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[4,2,7,5,8,3,6,1]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[3,8,5,7,1,4,6,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,2,7,3,4,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,2,5,4,3,1,7]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[6,7,2,4,5,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,7,2,8,3,6,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,1,3,6,4,2,8,7]=>[6,2,5,4,3,1,8,7]=>[7,8,1,3,4,5,2,6]=>[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]
[5,1,8,7,4,6,2,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,8,3,7,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,1,3,4,7,5,8,2]=>[8,2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[6,3,2,1,4,8,5,7]=>[7,4,3,2,5,8,1,6]=>[6,1,8,5,2,3,4,7]=>[[.,[[.,[.,[.,.]]],.]],[[.,.],.]]
[6,2,1,4,8,7,5,3]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[6,2,8,3,5,7,4,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,2,1,3,6,4,8,7]=>[6,3,2,4,5,1,8,7]=>[7,8,1,5,4,2,3,6]=>[[.,[[[.,[.,.]],.],[.,.]]],[.,.]]
[7,1,8,3,5,4,6,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,1,2,4,8,5,6,3]=>[8,2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[7,2,1,3,4,5,8,6]=>[8,3,2,4,5,6,7,1]=>[1,7,6,5,4,2,3,8]=>[.,[[[[[.,[.,.]],.],.],.],[.,.]]]
[8,7,3,5,4,2,1,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,6,5,3,2,1,7]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,1,6,4,3,2,8,7]=>[6,2,5,4,3,1,8,7]=>[7,8,1,3,4,5,2,6]=>[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]
[8,3,7,1,4,6,5,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,8,3,6,4,7,5,1]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,2,1,7,5,8,3,4]=>[8,3,2,7,5,6,4,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[6,3,8,7,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,2,1,5,8,4,3]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[9,1,8,7,6,5,4,3,2]=>[9,2,8,7,6,5,4,3,1]=>[1,3,4,5,6,7,8,2,9]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,8,1,5,4,3,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,1,9,8,6,5,4,3,2]=>[9,2,8,7,6,5,4,3,1]=>[1,3,4,5,6,7,8,2,9]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,1,9,8,7,5,4,3,2]=>[9,2,8,7,6,5,4,3,1]=>[1,3,4,5,6,7,8,2,9]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,4,8,7,6,1,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,1,9,8,7,6,4,3,2]=>[9,2,8,7,6,5,4,3,1]=>[1,3,4,5,6,7,8,2,9]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,1,9,8,7,6,5,3,2]=>[9,2,8,7,6,5,4,3,1]=>[1,3,4,5,6,7,8,2,9]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,1,9,8,7,6,5,4,2]=>[9,2,8,7,6,5,4,3,1]=>[1,3,4,5,6,7,8,2,9]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]
[10,1,9,8,7,6,5,4,3,2]=>[10,2,9,8,7,6,5,4,3,1]=>[1,3,4,5,6,7,8,9,2,10]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[7,6,1,8,5,4,3,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,1,10,9,7,6,5,4,3,2]=>[10,2,9,8,7,6,5,4,3,1]=>[1,3,4,5,6,7,8,9,2,10]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[6,5,8,1,7,4,3,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,6,9,8,1,5,4,3,2]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[7,1,10,9,8,6,5,4,3,2]=>[10,2,9,8,7,6,5,4,3,1]=>[1,3,4,5,6,7,8,9,2,10]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[6,5,9,8,7,1,4,3,2]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[6,1,10,9,8,7,5,4,3,2]=>[10,2,9,8,7,6,5,4,3,1]=>[1,3,4,5,6,7,8,9,2,10]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[6,5,8,7,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,4,9,8,7,6,1,3,2]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[5,1,10,9,8,7,6,4,3,2]=>[10,2,9,8,7,6,5,4,3,1]=>[1,3,4,5,6,7,8,9,2,10]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[4,3,9,8,7,6,5,1,2]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[4,1,10,9,8,7,6,5,3,2]=>[10,2,9,8,7,6,5,4,3,1]=>[1,3,4,5,6,7,8,9,2,10]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[3,2,9,8,7,6,5,4,1]=>[9,2,8,7,6,5,4,3,1]=>[1,3,4,5,6,7,8,2,9]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,1,10,9,8,7,6,5,4,2]=>[10,2,9,8,7,6,5,4,3,1]=>[1,3,4,5,6,7,8,9,2,10]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[1,8,3,5,6,2,4,7]=>[1,8,6,7,5,3,4,2]=>[2,4,3,5,7,6,8,1]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[1,4,8,5,6,2,3,7]=>[1,7,8,6,5,4,2,3]=>[3,2,4,5,6,8,7,1]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[1,2,8,5,3,7,4,6]=>[1,2,8,7,5,6,4,3]=>[3,4,6,5,7,8,2,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[6,1,4,8,2,3,5,7]=>[7,2,6,8,5,3,1,4]=>[4,1,3,5,8,6,2,7]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]
[8,7,2,5,6,1,4,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,8,2,5,4,7,3,6]=>[1,8,3,7,5,6,4,2]=>[2,4,6,5,7,3,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[5,7,4,1,2,3,8,6]=>[6,8,5,4,3,1,7,2]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[1,7,4,2,5,3,8,6]=>[1,8,6,4,5,3,7,2]=>[2,7,3,5,4,6,8,1]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[6,7,4,2,1,3,8,5]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,4,3,8,5,7,1,2]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[7,4,3,6,2,1,5,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,2,5,3,4,1,6,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,3,7,4,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,4,2,3,1,5,7]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[3,7,5,2,4,1,6,8]=>[6,7,5,4,3,1,2,8]=>[8,2,1,3,4,5,7,6]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[7,1,3,2,8,4,5,6]=>[8,2,4,3,7,6,5,1]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[2,1,7,4,8,3,5,6]=>[2,1,8,6,7,4,5,3]=>[3,5,4,7,6,8,1,2]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[5,2,8,6,1,3,4,7]=>[7,5,8,6,2,4,1,3]=>[3,1,4,2,6,8,5,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[2,8,3,1,4,5,6,7]=>[4,8,3,1,5,6,7,2]=>[2,7,6,5,1,3,8,4]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]
[7,4,8,2,3,1,5,6]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[4,2,7,3,1,5,6,8]=>[5,4,7,2,1,6,3,8]=>[8,3,6,1,2,7,4,5]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[8,3,7,2,1,4,5,6]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[6,5,2,4,7,1,3,8]=>[7,6,4,3,5,2,1,8]=>[8,1,2,5,3,4,6,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[6,5,7,4,1,8,2,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,6,4,5,1,8,2,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,6,4,1,3,7,2,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,4,3,1,8,2,5,7]=>[7,6,4,3,8,2,1,5]=>[5,1,2,8,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[7,4,1,2,8,3,5,6]=>[8,6,3,4,7,2,5,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[4,8,1,3,5,7,2,6]=>[7,8,3,4,5,6,1,2]=>[2,1,6,5,4,3,8,7]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]
[7,8,4,1,3,6,2,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,5,8,1,3,7,2,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,3,6,1,8,2,4,7]=>[7,6,4,3,8,2,1,5]=>[5,1,2,8,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[4,7,3,1,8,2,5,6]=>[6,8,4,3,7,1,5,2]=>[2,5,1,7,3,4,8,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[8,3,1,7,2,4,5,6]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[2,8,1,4,7,3,5,6]=>[3,8,1,6,7,4,5,2]=>[2,5,4,7,6,1,8,3]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[3,1,8,5,4,7,6,2]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[4,1,5,8,3,7,6,2]=>[8,2,5,7,3,6,4,1]=>[1,4,6,3,7,5,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[4,1,5,3,8,7,6,2]=>[8,2,4,3,7,6,5,1]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[4,5,1,8,2,7,6,3]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[4,8,5,3,1,7,6,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,5,2,8,1,7,6,3]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[4,5,2,1,8,7,6,3]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[5,6,2,7,8,1,4,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,6,2,8,7,1,5,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,6,3,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,6,3,7,5,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,6,8,2,7,5,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,6,2,8,7,5,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,6,2,7,4,1,8,3]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,6,7,2,3,1,8,4]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,6,7,2,8,3,1,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,6,7,2,1,8,3,4]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,6,7,2,1,3,8,4]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,6,1,7,8,2,4,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,6,1,7,2,4,8,3]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[5,1,6,7,8,3,4,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,1,6,8,7,3,5,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,1,8,6,7,5,4,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,1,6,8,7,5,3,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,1,6,7,4,8,3,2]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[5,6,1,7,8,4,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,6,8,1,7,5,2,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,8,6,1,7,5,3,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,6,7,1,8,3,2,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,6,7,1,3,8,2,4]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,6,7,1,3,2,8,4]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,6,7,3,1,2,8,4]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,6,7,3,8,1,2,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,6,8,7,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,6,7,3,8,2,1,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,4,6,2,3,5,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,4,8,6,3,2,5,7]=>[1,6,8,7,5,2,4,3]=>[3,4,2,5,7,8,6,1]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]
[7,4,1,6,3,8,5,2]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[7,6,3,1,5,8,4,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,4,2,5,7,3,1,8]=>[7,6,4,3,5,2,1,8]=>[8,1,2,5,3,4,6,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[4,2,5,7,6,3,1,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[7,4,5,6,1,8,3,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,1,5,8,6,3,2,7]=>[7,2,6,8,5,3,1,4]=>[4,1,3,5,8,6,2,7]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]
[3,2,7,6,1,8,5,4]=>[5,2,8,7,1,6,4,3]=>[3,4,6,1,7,8,2,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[4,7,5,1,6,8,2,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,6,5,1,2,7,4,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,5,4,1,3,2,7,6]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[1,4,2,3,6,8,7,5]=>[1,4,3,2,8,7,6,5]=>[5,6,7,8,2,3,4,1]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]
[5,4,8,3,7,1,6,2]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[4,7,1,8,2,5,3,6]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[6,4,1,8,5,3,7,2]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[8,4,6,1,3,5,2,7]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,2,5,4,7,8,1,6]=>[7,2,4,3,8,6,1,5]=>[5,1,6,8,3,4,2,7]=>[[.,[[.,.],[.,.]]],[.,[[.,.],.]]]
[8,1,6,7,2,5,3,4]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,1,7,6,5,8,2,4]=>[7,2,8,5,4,6,1,3]=>[3,1,6,4,5,8,2,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[1,2,7,5,6,8,3,4]=>[1,2,8,7,5,6,4,3]=>[3,4,6,5,7,8,2,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[6,1,4,7,2,8,3,5]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[3,2,1,7,6,8,4,5]=>[3,2,1,8,7,6,5,4]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[3,2,8,6,4,7,1,5]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[7,8,4,6,3,2,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,8,6,5,3,7,2,4]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,2,5,3,6,7,1,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,8,5,2,7,6,1,4]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[4,7,5,3,1,8,6,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,5,3,6,8,1,7,2]=>[8,6,3,4,7,2,5,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[3,5,2,6,1,8,7,4]=>[5,8,3,4,1,7,6,2]=>[2,6,7,1,4,3,8,5]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[1,6,3,5,7,2,8,4]=>[1,8,6,4,5,3,7,2]=>[2,7,3,5,4,6,8,1]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[1,5,4,6,7,8,2,3]=>[1,8,7,4,5,6,3,2]=>[2,3,6,5,4,7,8,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[8,4,6,5,7,2,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,4,5,2,6,8,1,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,4,2,6,8,7,1,3]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[7,8,4,3,1,2,6,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,5,1,4,3,2,8,7]=>[6,5,3,4,2,1,8,7]=>[7,8,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]
[2,6,5,1,4,7,3,8]=>[4,7,5,1,3,6,2,8]=>[8,2,6,3,1,5,7,4]=>[[[.,.],[[.,[[.,.],.]],[.,.]]],.]
[3,6,4,5,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[5,7,4,1,3,8,6,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,5,4,2,3,8,1,6]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,2,6,7,3,1,4,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[2,4,3,8,6,1,5,7]=>[6,3,2,8,7,1,5,4]=>[4,5,1,7,8,2,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]
[7,8,1,3,5,6,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,8,3,1,5,6,2,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,1,3,8,5,6,2,4]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,7,8,3,5,6,2,4]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,1,7,8,3,4,6,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,5,7,8,3,4,6,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,7,1,5,8,6,2,4]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[1,3,7,8,2,5,6,4]=>[1,5,8,7,2,6,4,3]=>[3,4,6,2,7,8,5,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[3,1,7,8,5,2,6,4]=>[6,2,8,7,5,1,4,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[1,3,7,5,8,2,6,4]=>[1,6,8,7,5,2,4,3]=>[3,4,2,5,7,8,6,1]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]
[3,1,7,5,8,2,6,4]=>[6,2,8,7,5,1,4,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[3,5,7,1,8,4,6,2]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[3,5,7,8,1,4,6,2]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[5,3,7,8,4,6,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,3,7,8,4,1,6,2]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[5,3,7,8,1,4,6,2]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[5,3,7,1,8,4,6,2]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[5,1,3,7,8,4,2,6]=>[7,2,6,8,5,3,1,4]=>[4,1,3,5,8,6,2,7]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]
[4,6,2,5,1,3,8,7]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[6,4,2,5,1,3,8,7]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[8,6,1,7,3,2,4,5]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,5,8,1,7,3,4,6]=>[4,7,8,1,6,5,2,3]=>[3,2,5,6,1,8,7,4]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]
[6,8,2,7,3,1,4,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,2,3,7,1,4,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,6,2,7,4,5,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,2,8,1,7,3,4,6]=>[7,4,8,2,6,5,1,3]=>[3,1,5,6,2,8,4,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[4,2,3,8,1,5,6,7]=>[5,3,2,8,1,6,7,4]=>[4,7,6,1,8,2,3,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[5,8,3,2,7,1,4,6]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[4,1,3,8,2,5,6,7]=>[5,2,3,8,1,6,7,4]=>[4,7,6,1,8,3,2,5]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]
[5,1,8,3,7,2,4,6]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[5,1,8,4,6,2,3,7]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[5,8,4,1,6,2,3,7]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[4,8,5,1,6,2,3,7]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[2,1,5,4,8,3,6,7]=>[2,1,6,4,8,3,7,5]=>[5,7,3,8,4,6,1,2]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[2,4,3,8,1,5,6,7]=>[5,3,2,8,1,6,7,4]=>[4,7,6,1,8,2,3,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[3,1,8,4,2,5,6,7]=>[5,2,8,4,1,6,7,3]=>[3,7,6,1,4,8,2,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[3,8,4,2,1,5,6,7]=>[5,8,4,3,1,6,7,2]=>[2,7,6,1,3,4,8,5]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[2,3,8,4,1,5,6,7]=>[5,2,8,4,1,6,7,3]=>[3,7,6,1,4,8,2,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[3,4,2,8,1,5,6,7]=>[5,3,2,8,1,6,7,4]=>[4,7,6,1,8,2,3,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[4,8,5,2,6,1,3,7]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[3,2,8,4,1,5,6,7]=>[5,2,8,4,1,6,7,3]=>[3,7,6,1,4,8,2,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[2,8,4,3,1,5,6,7]=>[5,8,4,3,1,6,7,2]=>[2,7,6,1,3,4,8,5]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[4,1,7,5,6,2,8,3]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[5,7,4,3,8,1,6,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,7,4,3,8,2,6,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,8,4,2,6,7,5,1]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[3,8,4,1,6,7,5,2]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[6,1,7,5,2,8,4,3]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[5,6,4,3,2,8,1,7]=>[7,5,4,3,2,8,1,6]=>[6,1,8,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[2,6,7,5,3,8,4,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,7,4,8,2,5,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,1,6,7,5,3,8,4]=>[2,1,8,6,5,4,7,3]=>[3,7,4,5,6,8,1,2]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[3,8,4,2,1,6,7,5]=>[5,8,4,3,1,7,6,2]=>[2,6,7,1,3,4,8,5]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[5,7,4,3,8,2,1,6]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[6,7,4,8,1,2,5,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,5,8,1,2,4,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,4,8,3,1,2,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,4,8,1,2,5,7,6]=>[5,4,8,2,1,6,7,3]=>[3,7,6,1,2,8,4,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[6,1,3,4,8,2,5,7]=>[7,2,6,4,8,3,1,5]=>[5,1,3,8,4,6,2,7]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]
[3,4,8,2,1,5,7,6]=>[5,4,8,2,1,6,7,3]=>[3,7,6,1,2,8,4,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[6,7,5,8,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,5,8,3,1,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,4,8,1,5,7,6,2]=>[8,4,7,2,5,6,3,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[2,5,7,6,1,4,8,3]=>[5,8,6,4,1,3,7,2]=>[2,7,3,1,4,6,8,5]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]
[6,7,4,8,2,3,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,4,8,1,3,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,6,7,5,1,3,8,4]=>[5,8,6,4,1,3,7,2]=>[2,7,3,1,4,6,8,5]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]
[6,7,4,8,1,3,2,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,5,8,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,4,8,2,1,3,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,4,8,1,2,3,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,4,3,6,5,8,2,7]=>[1,7,3,5,4,8,2,6]=>[6,2,8,4,5,3,7,1]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]
[8,1,3,4,7,2,6,5]=>[8,2,6,4,7,3,5,1]=>[1,5,3,7,4,6,2,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[5,1,7,3,4,8,2,6]=>[7,2,8,5,4,6,1,3]=>[3,1,6,4,5,8,2,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[6,7,8,2,3,5,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,6,2,3,7,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,8,3,4,7,5,6,1]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[1,8,3,4,7,6,2,5]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[8,7,2,3,6,5,4,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,8,1,7,5,2,6,4]=>[6,8,3,7,5,1,4,2]=>[2,4,1,5,7,3,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[4,8,1,6,7,2,5,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,1,3,8,4,6,5,7]=>[2,1,3,8,5,7,6,4]=>[4,6,7,5,8,3,1,2]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]
[8,2,1,7,4,3,6,5]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[1,3,2,8,5,4,6,7]=>[1,3,2,8,6,5,7,4]=>[4,7,5,6,8,2,3,1]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[8,3,1,5,7,2,6,4]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[8,4,5,1,7,2,6,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,5,6,8,7,4,2,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,4,5,7,6,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,4,8,5,7,6,2,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,4,8,5,7,3,6,1]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[4,3,8,6,5,7,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,2,8,5,3,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,2,7,8,6,3,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,2,8,6,7,3,5,1]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[3,2,8,7,5,4,6,1]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,1,8,7,5,6,2,4]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[4,1,8,6,7,5,2,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,1,7,8,6,4,2,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,7,1,8,5,4,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,8,3,2,6,1,4,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,4,8,2,6,1,7,5]=>[6,4,8,2,7,1,5,3]=>[3,5,1,7,2,8,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[7,8,4,1,5,6,3,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,8,1,4,5,6,3,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,8,1,2,6,3,4,5]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[7,8,5,1,4,6,3,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,8,4,5,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,3,8,4,1,6,7,2]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[6,2,4,8,1,5,3,7]=>[7,5,6,8,2,3,1,4]=>[4,1,3,2,8,6,5,7]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]
[3,4,8,5,1,6,7,2]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[3,5,8,1,4,6,7,2]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[1,4,8,2,6,3,7,5]=>[1,6,8,4,7,2,5,3]=>[3,5,2,7,4,8,6,1]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[5,3,8,1,4,6,7,2]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[4,2,6,8,1,5,3,7]=>[7,5,6,8,2,3,1,4]=>[4,1,3,2,8,6,5,7]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]
[7,4,2,8,1,5,3,6]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[6,1,7,5,8,4,3,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,2,1,8,4,5,3,7]=>[7,3,2,8,6,5,1,4]=>[4,1,5,6,8,2,3,7]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]
[1,2,7,8,5,3,4,6]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[6,3,7,8,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,1,5,7,8,4,3,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,7,5,6,8,4,3,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,1,8,4,5,6,7,2]=>[8,2,7,4,5,6,3,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[2,1,4,8,6,5,3,7]=>[2,1,7,8,6,5,3,4]=>[4,3,5,6,8,7,1,2]=>[[[.,[.,.]],.],[.,[.,[[.,.],.]]]]
[2,4,1,8,6,5,3,7]=>[3,7,1,8,6,5,2,4]=>[4,2,5,6,8,1,7,3]=>[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]
[4,2,1,8,6,5,3,7]=>[7,3,2,8,6,5,1,4]=>[4,1,5,6,8,2,3,7]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]
[3,2,7,8,5,1,4,6]=>[6,2,8,7,5,1,4,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[2,3,7,8,5,1,4,6]=>[6,2,8,7,5,1,4,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[2,7,3,8,5,1,4,6]=>[6,8,3,7,5,1,4,2]=>[2,4,1,5,7,3,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[3,6,2,8,5,1,4,7]=>[6,7,3,8,5,1,2,4]=>[4,2,1,5,8,3,7,6]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]
[7,3,6,8,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,2,1,8,5,3,4,6]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[1,2,6,8,4,5,3,7]=>[1,2,7,8,6,5,3,4]=>[4,3,5,6,8,7,2,1]=>[[[[.,.],.],.],[.,[.,[[.,.],.]]]]
[7,1,6,5,8,4,3,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,5,7,1,8,4,3,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,7,6,1,8,4,3,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,7,1,5,8,4,3,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,7,3,8,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,1,2,8,4,5,3,6]=>[8,2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[7,6,1,5,8,4,3,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,5,6,1,8,4,3,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[9,10,7,8,5,6,2,1,3,4]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,10,7,8,4,3,5,6,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,10,7,8,4,2,5,1,3,6]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,10,7,8,3,2,1,4,5,6]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,10,6,5,7,8,3,4,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,10,6,5,7,8,2,1,3,4]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,10,6,4,7,3,5,8,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,10,6,4,7,2,5,1,3,8]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,10,6,3,7,2,1,4,5,8]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,10,5,4,3,6,7,8,1,2]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[9,10,5,4,2,6,7,1,3,8]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[9,10,5,3,2,6,1,4,7,8]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[8,7,9,10,5,6,3,4,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,7,9,10,5,6,2,1,3,4]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,7,9,10,4,3,5,6,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,7,9,10,4,2,5,1,3,6]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,7,9,10,3,2,1,4,5,6]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,6,9,5,7,10,3,4,1,2]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[8,6,9,5,7,10,2,1,3,4]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[8,6,9,3,7,2,1,4,5,10]=>[9,8,7,6,5,4,3,2,1,10]=>[10,1,2,3,4,5,6,7,8,9]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[8,5,9,4,2,6,7,1,3,10]=>[9,8,7,6,5,4,3,2,1,10]=>[10,1,2,3,4,5,6,7,8,9]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[8,5,9,3,2,6,1,4,7,10]=>[9,8,7,6,5,4,3,2,1,10]=>[10,1,2,3,4,5,6,7,8,9]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[7,6,5,8,9,10,3,4,1,2]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[7,6,5,8,9,10,2,1,3,4]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[7,6,4,8,9,2,5,1,3,10]=>[9,8,7,6,5,4,3,2,1,10]=>[10,1,2,3,4,5,6,7,8,9]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[7,6,3,8,9,2,1,4,5,10]=>[9,8,7,6,5,4,3,2,1,10]=>[10,1,2,3,4,5,6,7,8,9]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[11,12,9,10,7,8,5,6,2,1,3,4]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,9,10,7,8,4,3,5,6,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,9,10,7,8,4,2,5,1,3,6]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,9,10,7,8,3,2,1,4,5,6]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,9,10,6,5,7,8,3,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,9,10,6,5,7,8,2,1,3,4]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,9,10,6,4,7,3,5,8,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,9,10,6,4,7,2,5,1,3,8]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,9,10,6,3,7,2,1,4,5,8]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,9,10,5,4,3,6,7,8,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,9,10,5,4,2,6,7,1,3,8]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,9,10,5,3,2,6,1,4,7,8]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,9,10,4,3,2,1,5,6,7,8]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,8,7,9,10,5,6,3,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,8,7,9,10,5,6,2,1,3,4]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,8,7,9,10,4,3,5,6,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,8,7,9,10,4,2,5,1,3,6]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,8,7,9,10,3,2,1,4,5,6]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,8,6,9,5,7,10,3,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,8,6,9,5,7,10,2,1,3,4]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,8,6,9,4,7,3,5,10,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,8,6,9,4,7,2,5,1,3,10]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,8,6,9,3,7,2,1,4,5,10]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,8,5,9,4,3,6,7,10,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,8,5,9,4,2,6,7,1,3,10]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,8,5,9,3,2,6,1,4,7,10]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,7,6,5,8,9,10,3,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,7,6,5,8,9,10,2,1,3,4]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,7,6,4,8,9,3,5,10,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,7,6,4,8,9,2,5,1,3,10]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,7,6,3,8,9,2,1,4,5,10]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,7,5,4,8,3,6,9,10,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,7,5,4,8,2,6,9,1,3,10]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,7,5,3,8,2,6,1,4,9,10]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[10,9,11,12,7,8,5,6,3,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[10,9,11,12,7,8,5,6,2,1,3,4]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[10,9,11,12,7,8,4,3,5,6,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[10,9,11,12,7,8,4,2,5,1,3,6]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[10,9,11,12,7,8,3,2,1,4,5,6]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[10,9,11,12,6,5,7,8,3,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[10,9,11,12,6,5,7,8,2,1,3,4]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[10,9,11,12,6,4,7,3,5,8,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[10,9,11,12,6,4,7,2,5,1,3,8]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[10,9,11,12,6,3,7,2,1,4,5,8]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[10,9,11,12,5,4,3,6,7,8,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[10,9,11,12,5,4,2,6,7,1,3,8]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[10,9,11,12,5,3,2,6,1,4,7,8]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[10,9,11,12,4,3,2,1,5,6,7,8]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[10,8,11,7,9,12,5,6,3,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[10,8,11,7,9,12,5,6,2,1,3,4]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[10,8,11,7,9,12,4,3,5,6,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[10,8,11,7,9,12,4,2,5,1,3,6]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[10,8,11,7,9,12,3,2,1,4,5,6]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[10,8,11,6,9,4,7,2,5,1,3,12]=>[11,10,9,8,7,6,5,4,3,2,1,12]=>[12,1,2,3,4,5,6,7,8,9,10,11]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]],.]
[10,8,11,6,9,3,7,2,1,4,5,12]=>[11,10,9,8,7,6,5,4,3,2,1,12]=>[12,1,2,3,4,5,6,7,8,9,10,11]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]],.]
[10,8,11,5,9,4,2,6,7,1,3,12]=>[11,10,9,8,7,6,5,4,3,2,1,12]=>[12,1,2,3,4,5,6,7,8,9,10,11]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]],.]
[10,8,11,5,9,3,2,6,1,4,7,12]=>[11,10,9,8,7,6,5,4,3,2,1,12]=>[12,1,2,3,4,5,6,7,8,9,10,11]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]],.]
[10,8,11,4,9,3,2,1,5,6,7,12]=>[11,10,9,8,7,6,5,4,3,2,1,12]=>[12,1,2,3,4,5,6,7,8,9,10,11]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]],.]
[10,7,11,6,4,8,9,2,5,1,3,12]=>[11,10,9,8,7,6,5,4,3,2,1,12]=>[12,1,2,3,4,5,6,7,8,9,10,11]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]],.]
[10,7,11,6,3,8,9,2,1,4,5,12]=>[11,10,9,8,7,6,5,4,3,2,1,12]=>[12,1,2,3,4,5,6,7,8,9,10,11]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]],.]
[10,7,11,5,4,8,2,6,9,1,3,12]=>[11,10,9,8,7,6,5,4,3,2,1,12]=>[12,1,2,3,4,5,6,7,8,9,10,11]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]],.]
[10,7,11,5,3,8,2,6,1,4,9,12]=>[11,10,9,8,7,6,5,4,3,2,1,12]=>[12,1,2,3,4,5,6,7,8,9,10,11]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]],.]
[10,7,11,4,3,8,2,1,5,6,9,12]=>[11,10,9,8,7,6,5,4,3,2,1,12]=>[12,1,2,3,4,5,6,7,8,9,10,11]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]],.]
[9,8,7,10,11,12,5,6,3,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[9,8,7,10,11,12,5,6,2,1,3,4]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[9,8,7,10,11,12,4,3,5,6,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[9,8,7,10,11,12,4,2,5,1,3,6]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[9,8,7,10,11,12,3,2,1,4,5,6]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[9,8,6,10,11,4,7,2,5,1,3,12]=>[11,10,9,8,7,6,5,4,3,2,1,12]=>[12,1,2,3,4,5,6,7,8,9,10,11]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]],.]
[9,8,6,10,11,3,7,2,1,4,5,12]=>[11,10,9,8,7,6,5,4,3,2,1,12]=>[12,1,2,3,4,5,6,7,8,9,10,11]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]],.]
[9,8,5,10,11,4,2,6,7,1,3,12]=>[11,10,9,8,7,6,5,4,3,2,1,12]=>[12,1,2,3,4,5,6,7,8,9,10,11]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]],.]
[9,8,5,10,11,3,2,6,1,4,7,12]=>[11,10,9,8,7,6,5,4,3,2,1,12]=>[12,1,2,3,4,5,6,7,8,9,10,11]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]],.]
[1,8,7,5,3,2,4,6]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,7,4,2,5,3,6]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,7,4,2,5,3,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,3,7,1,6,4,2,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,3,6,4,2,7,1,8]=>[7,5,4,3,2,6,1,8]=>[8,1,6,2,3,4,5,7]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[7,4,2,8,6,3,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,3,6,1,8,7,4,2]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[6,1,5,3,8,7,4,2]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[2,8,7,5,4,6,1,3]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[2,3,1,8,7,5,4,6]=>[3,2,1,8,7,6,5,4]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[5,3,8,7,4,2,1,6]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[7,4,2,1,8,6,3,5]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[8,6,3,5,7,4,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,8,6,3,5,7,4,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,3,8,5,2,1,7,4]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[8,6,3,7,4,2,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,8,6,4,7,5,1,3]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[5,1,8,6,3,7,4,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,3,7,4,1,8,5,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,5,2,6,3,7,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,1,8,7,4,2,5,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,6,3,7,4,2,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,8,6,3,2,4,7,5]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[8,6,3,2,4,7,5,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,5,1,8,6,3,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,1,8,7,5,3,2,4]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,3,2,8,7,6,1,5]=>[7,3,2,8,6,5,1,4]=>[4,1,5,6,8,2,3,7]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]
[7,5,8,6,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,7,5,8,6,3,2,4]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,7,4,2,5,8,6,3]=>[1,8,7,4,5,6,3,2]=>[2,3,6,5,4,7,8,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[8,6,3,1,7,4,2,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,7,4,2,5,3,1,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,3,1,8,7,4,2,6]=>[7,6,3,8,5,2,1,4]=>[4,1,2,5,8,3,6,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[4,1,8,7,5,3,2,6]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[2,8,6,4,1,3,7,5]=>[5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[4,1,8,6,3,2,7,5]=>[6,2,8,7,5,1,4,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[7,4,2,8,6,3,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,3,1,8,5,2,7,4]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[8,5,2,6,3,1,7,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,4,8,5,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,8,5,2,7,4,6,3]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[8,5,2,7,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,4,6,3,1,8,5,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,3,1,7,4,8,5,2]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[8,6,3,1,5,7,4,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,1,7,5,8,6,3,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,3,1,7,5,8,6,4]=>[3,2,1,8,7,6,5,4]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[7,4,8,5,2,1,6,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,2,1,7,4,6,3]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[1,7,4,6,3,8,5,2]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[3,6,5,2,1,4,8,7]=>[5,6,4,3,1,2,8,7]=>[7,8,2,1,3,4,6,5]=>[[[.,.],[.,[.,[[.,.],.]]]],[.,.]]
[3,5,6,2,1,4,8,7]=>[5,6,4,3,1,2,8,7]=>[7,8,2,1,3,4,6,5]=>[[[.,.],[.,[.,[[.,.],.]]]],[.,.]]
[3,5,7,8,1,4,2,6]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[4,1,8,5,7,3,2,6]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[4,1,7,5,8,3,2,6]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[2,1,5,8,7,4,3,6]=>[2,1,7,8,6,5,3,4]=>[4,3,5,6,8,7,1,2]=>[[[.,[.,.]],.],[.,[.,[[.,.],.]]]]
[2,1,5,7,8,4,3,6]=>[2,1,7,8,6,5,3,4]=>[4,3,5,6,8,7,1,2]=>[[[.,[.,.]],.],[.,[.,[[.,.],.]]]]
[5,1,7,4,8,3,2,6]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[4,7,2,8,3,6,1,5]=>[7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[4,6,2,7,3,1,8,5]=>[6,8,5,4,3,1,7,2]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[3,4,2,6,5,1,10,9,8,7]=>[6,3,2,5,4,1,10,9,8,7]=>[7,8,9,10,1,4,5,2,3,6]=>[[.,[[.,[.,.]],[.,[.,.]]]],[.,[.,[.,.]]]]
[4,7,3,8,6,2,10,9,5,1]=>[10,9,6,5,4,3,8,7,2,1]=>[1,2,7,8,3,4,5,6,9,10]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]]]
[6,2,8,4,1,7,3,5]=>[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[7,3,4,8,1,6,2,5]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[6,3,4,8,1,7,2,5]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[5,3,4,8,1,2,7,6]=>[6,5,3,8,2,1,7,4]=>[4,7,1,2,8,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[4,3,5,8,1,2,7,6]=>[6,5,3,8,2,1,7,4]=>[4,7,1,2,8,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[3,5,4,8,1,2,7,6]=>[6,5,3,8,2,1,7,4]=>[4,7,1,2,8,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[4,5,3,8,1,2,7,6]=>[6,5,3,8,2,1,7,4]=>[4,7,1,2,8,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[6,4,3,8,1,7,2,5]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[7,4,3,8,1,6,2,5]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[6,5,3,8,7,1,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,6,3,8,7,1,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,6,3,8,1,7,2,5]=>[7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[2,6,8,4,1,7,3,5]=>[5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[1,8,7,4,2,6,3,5]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,3,8,6,1,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,7,5,8,6,1,2,4]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[2,7,8,5,6,1,3,4]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[1,8,7,5,6,2,3,4]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,6,8,5,7,1,3,4]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[5,3,6,8,7,1,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,3,5,8,7,1,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,2,8,5,6,1,3,4]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[5,2,8,6,7,1,3,4]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[5,2,8,7,6,1,3,4]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[6,2,8,7,5,1,3,4]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[3,4,7,8,1,6,2,5]=>[7,5,8,6,2,4,1,3]=>[3,1,4,2,6,8,5,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[1,8,5,7,6,2,3,4]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,5,8,7,6,1,3,4]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[7,4,6,5,8,1,2,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,6,7,8,5,1,2,4]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[2,6,8,7,5,1,3,4]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[1,8,6,7,5,2,3,4]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,7,8,6,5,1,3,4]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[5,7,6,4,8,1,2,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,3,8,7,5,1,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,8,7,4,1,3,5,6]=>[5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[5,4,8,7,1,3,2,6]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[5,4,2,7,6,8,1,3]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[2,8,7,1,4,5,3,6]=>[4,8,7,1,6,5,3,2]=>[2,3,5,6,1,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[4,2,1,8,7,3,5,6]=>[6,3,2,8,7,1,5,4]=>[4,5,1,7,8,2,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]
[4,6,1,8,7,3,2,5]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[8,7,2,3,5,4,1,6]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,4,2,8,6,1,5,7]=>[6,3,2,8,7,1,5,4]=>[4,5,1,7,8,2,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]
[3,7,6,8,1,5,2,4]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[3,7,2,1,8,6,4,5]=>[4,8,3,1,7,6,5,2]=>[2,5,6,7,1,3,8,4]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[2,8,6,1,7,3,5,4]=>[4,8,7,1,6,5,3,2]=>[2,3,5,6,1,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,7,6,3,5,8,2,4]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[3,7,5,1,6,8,2,4]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[3,6,5,8,1,4,7,2]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[8,1,5,6,4,7,2,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,6,7,4,1,8,2,5]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[1,7,4,6,8,2,5,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,8,2,6,3,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,7,1,6,5,4,8,3]=>[3,8,1,6,5,4,7,2]=>[2,7,4,5,6,1,8,3]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[7,3,2,6,1,8,5,4]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[6,4,7,2,3,1,8,5]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,3,1,8,4,6,2,7]=>[7,5,3,8,2,6,1,4]=>[4,1,6,2,8,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[3,8,1,6,7,4,2,5]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[2,7,4,3,6,8,1,5]=>[7,8,4,3,5,6,1,2]=>[2,1,6,5,3,4,8,7]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]
[2,8,4,6,1,5,3,7]=>[5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[8,4,1,6,3,2,5,7]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[4,7,3,8,5,2,1,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[7,4,1,6,3,2,8,5]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[3,8,6,2,7,4,1,5]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[7,3,1,4,5,2,8,6]=>[8,6,3,4,5,2,7,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[6,1,4,8,5,3,2,7]=>[7,2,6,8,5,3,1,4]=>[4,1,3,5,8,6,2,7]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]
[8,1,2,4,6,7,5,3]=>[8,2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[8,1,3,6,7,5,4,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,5,2,3,8,6,1,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,6,2,4,1,3,7,5]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[4,7,5,1,8,6,3,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,7,3,2,8,5,6,1]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[8,4,5,7,6,1,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,5,8,4,2,3,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,8,4,6,1,7,5,2]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[3,7,4,6,5,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,2,7,6,1,5,8,3]=>[8,5,6,4,2,3,7,1]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[8,3,1,4,5,7,6,2]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[3,5,1,6,8,4,7,2]=>[8,6,3,4,7,2,5,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[6,1,5,7,3,8,4,2]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[5,8,4,7,3,2,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,2,6,5,8,4,1,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,3,2,5,1,6,7,4]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[2,6,8,3,7,4,1,5]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[8,1,5,6,4,7,3,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,5,8,1,6,4,7,3]=>[4,8,7,1,6,5,3,2]=>[2,3,5,6,1,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[7,4,1,8,3,2,6,5]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[8,3,7,4,2,1,6,5]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[5,2,6,8,3,1,7,4]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[3,6,5,8,4,1,7,2]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[7,3,6,1,8,4,5,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,2,7,3,4,6,5,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,3,8,2,5,6,4,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,7,3,1,6,4,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,7,4,2,3,6,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,1,5,4,2,3,6]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,7,1,5,2,8,6,4]=>[5,8,3,7,1,6,4,2]=>[2,4,6,1,7,3,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[8,7,2,5,4,1,3,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,2,5,3,1,4,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,2,8,7,1,4,3,6]=>[7,5,8,6,2,4,1,3]=>[3,1,4,2,6,8,5,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[7,1,8,6,2,4,3,5]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,6,2,7,5,3,4]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,1,6,2,8,5,3,4]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,3,4,1,7,2,8,5]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[7,2,4,3,5,1,8,6]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[5,1,7,2,3,8,6,4]=>[8,2,7,4,5,6,3,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[8,2,3,5,1,7,6,4]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[7,6,3,1,4,8,2,5]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,1,8,2,7,5,3,4]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,2,8,1,6,5,3,4]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,2,6,4,3,8,1,5]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,1,7,4,3,8,2,6]=>[7,2,8,5,4,6,1,3]=>[3,1,6,4,5,8,2,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[5,3,1,7,4,8,2,6]=>[7,5,3,8,2,6,1,4]=>[4,1,6,2,8,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[7,4,8,2,1,5,3,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,2,4,1,6,3,7,5]=>[8,4,6,2,7,3,5,1]=>[1,5,3,7,2,6,4,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[8,2,7,5,1,6,4,3]=>[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[6,1,7,3,2,8,5,4]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[4,7,2,1,6,3,8,5]=>[6,8,4,3,5,1,7,2]=>[2,7,1,5,3,4,8,6]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]
[6,2,1,5,3,8,4,7]=>[7,3,2,5,4,8,1,6]=>[6,1,8,4,5,2,3,7]=>[[.,[[.,[.,.]],[.,.]]],[[.,.],.]]
[5,3,1,6,2,8,4,7]=>[7,5,3,4,2,8,1,6]=>[6,1,8,2,4,3,5,7]=>[[.,[.,[[.,.],[.,.]]]],[[.,.],.]]
[6,1,5,2,8,4,3,7]=>[7,2,6,4,8,3,1,5]=>[5,1,3,8,4,6,2,7]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]
[7,4,3,8,1,5,2,6]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[7,4,8,1,5,3,2,6]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,1,5,3,2,8,4,7]=>[7,2,5,4,3,8,1,6]=>[6,1,8,3,4,5,2,7]=>[[.,[[.,.],[.,[.,.]]]],[[.,.],.]]
[6,3,2,8,4,1,5,7]=>[7,6,3,8,5,2,1,4]=>[4,1,2,5,8,3,6,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[7,3,4,2,8,5,1,6]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[7,1,6,3,4,2,8,5]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[8,5,1,3,7,4,2,6]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,6,1,3,7,5,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,8,5,6,1,7,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,1,3,8,5,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,6,7,1,5,2,8,4]=>[6,8,5,4,3,1,7,2]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[7,1,3,8,4,2,6,5]=>[8,2,6,7,5,3,4,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[5,6,2,7,1,3,8,4]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,6,2,8,1,3,7,4]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[6,1,8,3,7,5,2,4]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,4,2,1,5,8,3,6]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[7,4,1,5,8,3,2,6]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,3,2,6,4,8,1,5]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[6,4,2,7,3,8,1,5]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,1,8,3,7,4,2,6]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[7,4,8,3,1,5,2,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,2,1,7,4,8,3,6]=>[7,3,2,8,5,6,1,4]=>[4,1,6,5,8,2,3,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[6,1,8,4,5,2,7,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,1,6,4,5,2,8,3]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[3,5,2,7,1,6,8,4]=>[5,8,3,6,1,4,7,2]=>[2,7,4,1,6,3,8,5]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]
[4,5,7,3,1,6,8,2]=>[8,5,6,4,2,3,7,1]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[4,5,7,2,8,6,1,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,5,1,7,2,6,8,4]=>[5,8,3,6,1,4,7,2]=>[2,7,4,1,6,3,8,5]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]
[4,6,7,2,1,5,8,3]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,6,7,1,3,8,5,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,6,1,5,7,8,4,2]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[4,6,7,1,5,8,3,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,1,3,7,4,8,5,2]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[3,2,1,7,4,8,5,6]=>[3,2,1,8,5,7,6,4]=>[4,6,7,5,8,1,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[3,7,2,1,5,8,6,4]=>[4,8,3,1,7,6,5,2]=>[2,5,6,7,1,3,8,4]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[6,2,7,1,4,8,5,3]=>[8,4,7,2,5,6,3,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[3,7,4,2,1,8,5,6]=>[5,8,4,3,1,7,6,2]=>[2,6,7,1,3,4,8,5]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[7,2,5,3,1,8,6,4]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[7,5,1,4,2,8,6,3]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[7,5,4,1,3,8,6,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,3,2,8,1,5,7,4]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[7,4,3,2,8,1,6,5]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[7,6,2,4,8,3,5,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,3,6,4,8,1,5,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,8,5,3,6,4,2,7]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,6,2,3,7,5,4,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,6,3,2,7,5,4,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,3,2,7,1,6,4,5]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[7,2,6,1,5,4,3,8]=>[7,4,6,2,5,3,1,8]=>[8,1,3,5,2,6,4,7]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[8,5,7,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,7,2,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,6,7,1,3,2,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,8,5,6,1,4,3,7]=>[5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[7,2,6,8,4,1,5,3]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[7,6,4,8,3,2,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,5,8,1,4,2,7,3]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[6,5,8,4,1,3,7,2]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[5,4,8,3,2,1,7,6]=>[6,5,8,4,2,1,7,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[4,3,7,2,1,6,5,8]=>[5,4,7,2,1,6,3,8]=>[8,3,6,1,2,7,4,5]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[2,5,8,1,4,3,7,6]=>[4,6,8,1,5,2,7,3]=>[3,7,2,5,1,8,6,4]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]
[3,6,8,2,1,5,7,4]=>[5,8,7,4,1,6,3,2]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[5,7,4,8,1,3,6,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,7,1,4,8,2,6,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,7,4,1,8,3,6,5]=>[4,8,6,1,7,3,5,2]=>[2,5,3,7,1,6,8,4]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[3,5,1,8,4,2,7,6]=>[6,5,3,8,2,1,7,4]=>[4,7,1,2,8,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[4,1,5,7,3,6,2,8]=>[7,2,5,6,3,4,1,8]=>[8,1,4,3,6,5,2,7]=>[[.,[[[.,.],.],[[.,.],[.,.]]]],.]
[4,2,5,8,3,1,7,6]=>[6,5,3,8,2,1,7,4]=>[4,7,1,2,8,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[6,1,2,7,8,3,5,4]=>[8,2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[5,3,1,8,6,4,2,7]=>[7,6,3,8,5,2,1,4]=>[4,1,2,5,8,3,6,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[4,2,8,7,3,5,1,6]=>[7,5,8,6,2,4,1,3]=>[3,1,4,2,6,8,5,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[4,8,1,7,6,2,3,5]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[6,8,1,4,7,5,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,3,8,1,6,4,2,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,7,8,1,5,3,2,6]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[7,1,8,6,2,5,3,4]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,8,7,1,3,6,4,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,8,7,2,1,6,4,5]=>[5,8,7,4,1,6,3,2]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[2,8,7,1,6,3,5,4]=>[4,8,7,1,6,5,3,2]=>[2,3,5,6,1,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[3,7,6,1,5,4,2,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,8,7,6,1,3,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,7,2,6,1,4,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,1,7,5,2,4,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,3,8,6,5,1,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,7,8,4,3,1,2,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[5,8,6,4,3,2,1,7]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[8,7,3,6,4,2,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,1,4,2,5,3,7,8]=>[6,2,5,4,3,1,7,8]=>[8,7,1,3,4,5,2,6]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[6,1,3,5,4,2,7,8]=>[6,2,5,4,3,1,7,8]=>[8,7,1,3,4,5,2,6]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[6,1,2,5,4,7,3,8]=>[7,2,3,5,4,6,1,8]=>[8,1,6,4,5,3,2,7]=>[[.,[[[[.,.],.],[.,.]],[.,.]]],.]
[5,1,6,3,4,7,8,2]=>[8,2,5,4,3,6,7,1]=>[1,7,6,3,4,5,2,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[5,2,6,3,4,7,1,8]=>[7,5,4,3,2,6,1,8]=>[8,1,6,2,3,4,5,7]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[3,4,7,5,8,6,1,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,4,7,1,5,3,8,6]=>[4,6,8,1,5,2,7,3]=>[3,7,2,5,1,8,6,4]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]
[2,3,6,7,4,8,1,5]=>[7,2,8,5,4,6,1,3]=>[3,1,6,4,5,8,2,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[1,3,6,7,4,8,5,2]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[2,7,6,5,3,1,8,4]=>[6,8,5,4,3,1,7,2]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[5,2,6,1,4,7,8,3]=>[8,4,5,2,3,6,7,1]=>[1,7,6,3,2,5,4,8]=>[.,[[[[.,.],[[.,.],.]],.],[.,.]]]
[4,7,6,5,2,1,8,3]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,3,6,2,4,1,7,8]=>[6,5,4,3,2,1,7,8]=>[8,7,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[5,7,4,2,1,3,6,8]=>[6,7,5,4,3,1,2,8]=>[8,2,1,3,4,5,7,6]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[6,3,1,5,4,7,8,2]=>[8,5,3,4,2,6,7,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]
[5,3,6,1,4,2,7,8]=>[6,5,4,3,2,1,7,8]=>[8,7,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[1,7,4,2,6,3,8,5]=>[1,8,6,4,5,3,7,2]=>[2,7,3,5,4,6,8,1]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[5,7,4,1,2,3,6,8]=>[6,7,5,4,3,1,2,8]=>[8,2,1,3,4,5,7,6]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[6,4,1,2,5,3,7,8]=>[6,5,3,4,2,1,7,8]=>[8,7,1,2,4,3,5,6]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[4,7,6,3,8,5,1,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,7,6,5,2,8,1,4]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[3,7,6,5,1,2,8,4]=>[6,8,5,4,3,1,7,2]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[4,7,2,6,1,3,8,5]=>[6,8,5,4,3,1,7,2]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[2,7,1,6,8,3,5,4]=>[3,8,1,7,6,5,4,2]=>[2,4,5,6,7,1,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[9,1,2,3,4,5,6,8,7]=>[9,2,3,4,5,6,7,8,1]=>[1,8,7,6,5,4,3,2,9]=>[.,[[[[[[[.,.],.],.],.],.],.],[.,.]]]
[10,1,2,3,4,5,6,7,9,8]=>[10,2,3,4,5,6,7,8,9,1]=>[1,9,8,7,6,5,4,3,2,10]=>[.,[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]]
[9,1,2,3,4,5,7,8,6]=>[9,2,3,4,5,6,8,7,1]=>[1,7,8,6,5,4,3,2,9]=>[.,[[[[[[.,.],.],.],.],.],[.,[.,.]]]]
[2,11,10,9,8,7,6,5,4,3,1]=>[11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]
[3,2,10,9,8,7,6,5,4,1]=>[10,2,9,8,7,6,5,4,3,1]=>[1,3,4,5,6,7,8,9,2,10]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[4,2,9,8,7,6,5,3,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[5,2,8,7,6,4,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,2,7,6,1,5,4,3]=>[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[8,4,1,7,6,5,3,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[10,2,1,9,8,7,6,5,4,3]=>[10,3,2,9,8,7,6,5,4,1]=>[1,4,5,6,7,8,9,2,3,10]=>[.,[[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,5,6,2,3,8,1,7]=>[7,5,4,3,2,8,1,6]=>[6,1,8,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[6,5,7,3,8,4,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,8,7,2,4,3,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,2,7,4,5,8,1,6]=>[7,2,8,4,5,6,1,3]=>[3,1,6,5,4,8,2,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[6,8,1,5,2,4,3,7]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[8,3,4,6,1,5,2,7]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[2,3,4,7,5,8,1,6]=>[7,2,3,8,5,6,1,4]=>[4,1,6,5,8,3,2,7]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[6,3,4,7,8,2,5,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,3,7,4,8,6,1,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,3,6,4,1,7,2,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,7,8,5,4,1,2,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[5,7,6,2,8,4,1,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,1,7,5,8,3,4,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,5,6,4,1,3,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[1,5,6,8,4,7,3,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,4,1,7,5,8,6,2]=>[8,3,2,7,5,6,4,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[8,5,7,4,3,1,6,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,5,1,7,2,4,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,2,4,1,3,7,6,5]=>[8,4,5,2,3,7,6,1]=>[1,6,7,3,2,5,4,8]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[7,8,3,6,2,1,4,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,1,7,4,2,3,6,5]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,8,7,2,3,5,6,4]=>[1,8,7,4,5,6,3,2]=>[2,3,6,5,4,7,8,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[2,8,3,1,6,7,5,4]=>[4,8,3,1,7,6,5,2]=>[2,5,6,7,1,3,8,4]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[8,2,3,1,5,7,6,4]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[3,8,4,1,2,7,6,5]=>[5,8,4,3,1,7,6,2]=>[2,6,7,1,3,4,8,5]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[5,4,7,2,3,6,8,1]=>[8,5,6,4,2,3,7,1]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[6,3,2,1,8,4,7,5]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[2,3,7,4,1,8,5,6]=>[5,2,8,4,1,7,6,3]=>[3,6,7,1,4,8,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[6,4,1,3,2,7,8,5]=>[8,5,3,4,2,6,7,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]
[2,7,8,5,1,3,6,4]=>[5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[8,2,5,6,7,1,3,4]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[2,8,5,4,7,6,1,3]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[6,7,1,5,8,2,4,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,8,7,6,2,3,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,1,5,3,2,6,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,5,7,3,8,2,1,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,1,4,7,2,5,6,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,3,4,6,1,5,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,3,4,5,7,1,6,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,2,6,8,3,1,5,7]=>[6,5,7,8,2,1,3,4]=>[4,3,1,2,8,7,5,6]=>[[[.,[.,.]],.],[[[.,[.,.]],.],.]]
[3,7,6,2,4,5,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[2,3,6,5,8,1,4,7]=>[6,2,7,4,8,1,3,5]=>[5,3,1,8,4,7,2,6]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]
[2,3,5,8,6,1,4,7]=>[6,2,7,8,5,1,3,4]=>[4,3,1,5,8,7,2,6]=>[[[.,[.,.]],.],[.,[[[.,.],.],.]]]
[4,2,3,8,6,1,5,7]=>[6,3,2,8,7,1,5,4]=>[4,5,1,7,8,2,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]
[1,2,3,7,4,6,8,5]=>[1,2,3,8,5,6,7,4]=>[4,7,6,5,8,3,2,1]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]
[3,2,7,1,4,5,8,6]=>[4,2,8,1,5,6,7,3]=>[3,7,6,5,1,8,2,4]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]
[2,1,5,3,8,7,4,6]=>[2,1,7,4,8,6,3,5]=>[5,3,6,8,4,7,1,2]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]
[5,8,3,2,4,1,6,7]=>[6,8,5,4,3,1,7,2]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[4,2,7,1,8,3,5,6]=>[6,4,8,2,7,1,5,3]=>[3,5,1,7,2,8,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[4,1,8,2,7,3,5,6]=>[6,2,8,4,7,1,5,3]=>[3,5,1,7,4,8,2,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[1,2,7,5,3,8,4,6]=>[1,2,8,7,5,6,4,3]=>[3,4,6,5,7,8,2,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[1,2,3,7,6,8,4,5]=>[1,2,3,8,7,6,5,4]=>[4,5,6,7,8,3,2,1]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[1,2,3,6,8,7,4,5]=>[1,2,3,8,7,6,5,4]=>[4,5,6,7,8,3,2,1]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[1,2,3,7,8,4,6,5]=>[1,2,3,8,7,6,5,4]=>[4,5,6,7,8,3,2,1]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[1,2,3,6,8,4,7,5]=>[1,2,3,8,7,6,5,4]=>[4,5,6,7,8,3,2,1]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[1,2,3,7,8,6,4,5]=>[1,2,3,8,7,6,5,4]=>[4,5,6,7,8,3,2,1]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[6,2,8,3,7,5,1,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,2,8,3,7,5,6,1]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,3,4,8,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,3,4,8,7,2,6,1]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[4,3,5,8,7,2,6,1]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[4,6,3,8,5,7,2,1]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[7,5,3,8,6,2,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,6,8,3,7,4,5,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,8,4,3,7,5,6,2]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[2,5,8,3,7,4,6,1]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[7,4,3,8,6,2,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,5,4,8,7,2,6,1]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[4,5,3,8,6,7,2,1]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,6,7,8,4,5,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,6,8,5,4,7,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,8,5,6,4,7,3,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,5,8,6,4,7,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,4,6,5,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,3,7,8,4,5,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,3,7,8,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,2,8,6,4,7,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,2,8,6,5,7,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,2,8,6,7,4,5,1]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,3,8,7,5,4,6,1]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,8,2,7,4,5,6,3]=>[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[7,2,8,6,3,4,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,2,8,4,5,7,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,2,8,4,6,7,3,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,2,8,5,6,7,3,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,3,6,8,5,7,2,1]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[3,4,6,8,7,2,5,1]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[7,3,5,8,6,2,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,8,3,5,7,4,6,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,7,8,4,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,7,5,8,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,7,4,6,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,6,5,8,4,7,2,1]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[2,6,8,4,5,7,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,2,7,1,3,8,5,6]=>[5,4,8,2,1,7,6,3]=>[3,6,7,1,2,8,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[4,2,5,1,3,8,6,7]=>[5,4,3,2,1,8,7,6]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[5,3,6,1,7,2,4,8]=>[7,6,4,3,5,2,1,8]=>[8,1,2,5,3,4,6,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[3,7,1,2,5,8,6,4]=>[4,8,3,1,7,6,5,2]=>[2,5,6,7,1,3,8,4]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[3,7,4,1,2,8,5,6]=>[5,8,4,3,1,7,6,2]=>[2,6,7,1,3,4,8,5]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[7,5,1,3,4,8,6,2]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[7,5,1,2,4,8,6,3]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[6,4,2,3,7,1,5,8]=>[7,6,4,3,5,2,1,8]=>[8,1,2,5,3,4,6,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[7,6,3,8,1,2,5,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,4,2,3,8,1,6,5]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[4,7,5,2,8,1,3,6]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[8,2,6,3,7,1,4,5]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[8,6,1,2,7,4,5,3]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[8,4,7,1,2,3,6,5]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[8,5,7,1,2,4,6,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,5,7,1,3,4,6,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,6,2,7,1,3,5,4]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[3,8,5,6,1,2,4,7]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[3,7,5,8,1,2,4,6]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[7,6,4,8,1,3,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,5,8,1,2,4,7,3]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[3,6,8,1,2,5,7,4]=>[5,8,7,4,1,6,3,2]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[3,7,2,4,8,1,6,5]=>[6,8,3,4,7,1,5,2]=>[2,5,1,7,4,3,8,6]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[4,6,3,8,1,2,5,7]=>[6,7,5,8,3,1,2,4]=>[4,2,1,3,8,5,7,6]=>[[[.,.],[.,.]],[[.,[[.,.],.]],.]]
[4,6,3,7,1,2,5,8]=>[6,7,5,4,3,1,2,8]=>[8,2,1,3,4,5,7,6]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[4,1,7,8,2,3,6,5]=>[6,2,8,7,5,1,4,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[6,1,8,5,2,3,4,7]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[6,8,1,3,7,4,5,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,2,8,1,6,3,4,5]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[4,7,8,2,5,1,3,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[6,8,2,7,1,4,5,3]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[4,8,7,1,3,5,6,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,8,7,1,2,4,6,5]=>[5,8,7,4,1,6,3,2]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[5,8,7,1,2,4,6,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,8,7,1,3,4,6,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,1,8,6,2,3,5,4]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,8,6,4,1,2,3,7]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[7,8,4,1,2,5,3,6]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,8,1,2,6,5,3,4]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[6,1,3,4,7,2,5,8]=>[7,2,6,4,5,3,1,8]=>[8,1,3,5,4,6,2,7]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[7,8,2,1,6,3,5,4]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[6,1,2,7,5,4,3,8]=>[7,2,3,6,5,4,1,8]=>[8,1,4,5,6,3,2,7]=>[[.,[[[.,.],.],[.,[.,[.,.]]]]],.]
[1,2,8,7,5,4,3,6]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[5,1,7,3,6,4,8,2]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[6,2,1,5,7,4,3,8]=>[7,3,2,6,5,4,1,8]=>[8,1,4,5,6,2,3,7]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[6,2,3,7,4,1,5,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[3,4,8,7,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,3,8,7,4,1,5,6]=>[6,2,8,7,5,1,4,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[2,7,3,8,6,4,1,5]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[1,8,3,7,6,4,5,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,2,7,1,4,6,8,3]=>[8,4,6,2,5,3,7,1]=>[1,7,3,5,2,6,4,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[4,6,7,5,2,1,8,3]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,3,1,4,5,7,8,2]=>[8,5,3,4,2,6,7,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]
[5,3,1,4,6,2,7,8]=>[6,4,3,2,5,1,7,8]=>[8,7,1,5,2,3,4,6]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[5,1,2,4,7,6,8,3]=>[8,2,3,4,6,5,7,1]=>[1,7,5,6,4,3,2,8]=>[.,[[[[[.,.],.],.],[.,.]],[.,.]]]
[5,7,4,1,2,6,3,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,8,1,2,6,7,3,5]=>[7,8,3,4,6,5,1,2]=>[2,1,5,6,4,3,8,7]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]
[4,1,7,8,2,6,3,5]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[1,2,8,7,6,5,3,4]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[3,1,2,4,6,8,7,5]=>[3,2,1,4,8,7,6,5]=>[5,6,7,8,4,1,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]
[3,1,8,4,5,7,6,2]=>[8,2,7,4,5,6,3,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[3,2,8,5,4,7,1,6]=>[7,2,8,5,4,6,1,3]=>[3,1,6,4,5,8,2,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[4,2,8,1,5,3,7,6]=>[6,4,8,2,5,1,7,3]=>[3,7,1,5,2,8,4,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[4,3,8,5,7,6,1,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,8,2,1,6,3,7,5]=>[6,8,4,3,7,1,5,2]=>[2,5,1,7,3,4,8,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[3,8,6,5,2,7,1,4]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[3,8,5,6,1,7,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,5,7,8,1,2,6,4]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[3,7,8,5,2,1,6,4]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[3,7,2,8,4,1,6,5]=>[6,8,3,7,5,1,4,2]=>[2,4,1,5,7,3,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[2,8,1,7,4,6,5,3]=>[3,8,1,7,6,5,4,2]=>[2,4,5,6,7,1,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[2,8,7,5,1,6,4,3]=>[5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[2,8,6,7,5,1,4,3]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[8,2,4,1,7,3,5,6]=>[8,4,6,2,7,3,5,1]=>[1,5,3,7,2,6,4,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[8,6,1,4,2,3,7,5]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,6,1,4,2,8,7,5]=>[5,8,3,4,1,7,6,2]=>[2,6,7,1,4,3,8,5]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[1,6,8,4,3,7,2,5]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,1,7,4,3,8,2,5]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[1,8,7,4,3,6,2,5]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,1,3,8,2,6,5]=>[8,6,3,4,7,2,5,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[4,8,2,3,1,5,7,6]=>[5,8,4,3,1,6,7,2]=>[2,7,6,1,3,4,8,5]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[4,8,6,2,1,3,7,5]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[2,7,4,1,8,3,5,6]=>[4,8,6,1,7,3,5,2]=>[2,5,3,7,1,6,8,4]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[1,7,8,4,2,3,6,5]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,1,3,8,2,6,5]=>[6,8,3,4,7,1,5,2]=>[2,5,1,7,4,3,8,6]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[8,7,1,3,4,2,6,5]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,7,4,3,6,2,8,5]=>[1,8,6,4,5,3,7,2]=>[2,7,3,5,4,6,8,1]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[3,8,6,4,5,2,1,7]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[3,8,4,6,5,2,1,7]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[2,4,3,7,5,8,1,6]=>[7,3,2,8,5,6,1,4]=>[4,1,6,5,8,2,3,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[1,4,7,3,6,2,8,5]=>[1,6,8,4,5,2,7,3]=>[3,7,2,5,4,8,6,1]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]
[6,4,1,3,7,2,8,5]=>[8,6,3,4,5,2,7,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[8,1,4,3,6,2,7,5]=>[8,2,6,4,7,3,5,1]=>[1,5,3,7,4,6,2,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[4,2,3,8,5,7,1,6]=>[7,3,2,8,5,6,1,4]=>[4,1,6,5,8,2,3,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[2,8,5,7,3,4,1,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[5,8,2,6,4,3,1,7]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[7,2,5,8,4,3,1,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,2,3,5,8,7,1,6]=>[7,3,2,4,8,6,1,5]=>[5,1,6,8,4,2,3,7]=>[[.,[[.,[.,.]],.]],[.,[[.,.],.]]]
[8,2,3,5,4,7,1,6]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[6,1,8,3,4,2,7,5]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,8,6,4,2,3,7,5]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,8,4,5,6,2,1,7]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[2,4,3,5,7,8,1,6]=>[7,3,2,4,8,6,1,5]=>[5,1,6,8,4,2,3,7]=>[[.,[[.,[.,.]],.]],[.,[[.,.],.]]]
[3,8,6,5,4,2,1,7]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[7,3,8,1,2,6,4,5]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[1,8,4,2,6,5,3,7]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[5,1,4,8,6,3,2,7]=>[7,2,6,8,5,3,1,4]=>[4,1,3,5,8,6,2,7]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]
[5,3,1,8,4,7,2,6]=>[7,5,3,8,2,6,1,4]=>[4,1,6,2,8,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[4,3,8,1,5,7,2,6]=>[7,4,8,2,5,6,1,3]=>[3,1,6,5,2,8,4,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[6,3,1,2,5,7,4,8]=>[7,4,3,2,5,6,1,8]=>[8,1,6,5,2,3,4,7]=>[[.,[[[.,[.,[.,.]]],.],[.,.]]],.]
[7,1,4,2,6,5,3,8]=>[7,2,6,4,5,3,1,8]=>[8,1,3,5,4,6,2,7]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[3,8,4,1,6,5,2,7]=>[7,8,4,3,6,5,1,2]=>[2,1,5,6,3,4,8,7]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]
[7,5,3,6,4,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,3,6,4,5,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,7,2,4,5,1,6,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,1,5,4,8,6,3,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,7,5,4,8,6,3,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,1,8,7,5,3,6,4]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[5,8,3,7,4,1,6,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,1,7,4,2,6,5,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,6,3,1,8,4,7,2]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[5,7,1,4,8,6,3,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,5,7,4,8,6,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,6,7,4,5,8,3,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,1,7,4,5,8,3,2]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[5,3,7,4,8,6,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,5,3,6,1,4,7,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,4,3,6,8,2,7,1]=>[8,6,3,4,7,2,5,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[6,5,3,7,4,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,5,8,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,7,8,4,5,1,6,3]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[5,7,3,8,4,1,6,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,6,3,8,1,4,7,2]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[8,4,1,2,5,6,7,3]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[3,7,8,4,1,6,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,3,1,2,5,7,4]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,5,1,7,2,6,4,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,7,1,4,5,2,6,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,6,3,1,5,2,8,4]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,5,1,8,2,6,3,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,7,3,1,5,4,2,6]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,4,2,6,1,3,8,7]=>[6,5,3,4,2,1,8,7]=>[7,8,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]
[3,2,6,5,1,4,8,7]=>[5,2,6,4,1,3,8,7]=>[7,8,3,1,4,6,2,5]=>[[[.,[.,.]],[.,[[.,.],.]]],[.,.]]
[2,5,8,1,7,4,3,6]=>[4,7,8,1,6,5,2,3]=>[3,2,5,6,1,8,7,4]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]
[6,8,2,7,4,3,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,2,3,7,5,1,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,6,2,5,4,8,1,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,6,5,1,8,4,3,7]=>[4,7,6,1,8,3,2,5]=>[5,2,3,8,1,6,7,4]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]
[4,2,7,3,1,8,5,6]=>[5,4,8,2,1,7,6,3]=>[3,6,7,1,2,8,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[4,2,3,7,1,5,8,6]=>[5,3,2,8,1,6,7,4]=>[4,7,6,1,8,2,3,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[5,2,7,3,8,6,1,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,8,4,2,6,7,1,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,2,4,8,1,5,7,6]=>[5,2,3,8,1,6,7,4]=>[4,7,6,1,8,3,2,5]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]
[2,4,8,3,1,7,5,6]=>[5,4,8,2,1,7,6,3]=>[3,6,7,1,2,8,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[4,8,3,2,1,7,6,5]=>[5,8,4,3,1,7,6,2]=>[2,6,7,1,3,4,8,5]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[4,1,3,7,2,6,8,5]=>[5,2,3,8,1,6,7,4]=>[4,7,6,1,8,3,2,5]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]
[3,4,8,2,1,6,5,7]=>[5,4,8,2,1,7,6,3]=>[3,6,7,1,2,8,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[6,8,3,7,2,1,5,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,1,7,4,6,8,3,2]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[7,6,4,8,1,5,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,3,7,1,8,2,6,4]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[2,1,7,6,4,8,3,5]=>[2,1,8,7,5,6,4,3]=>[3,4,6,5,7,8,1,2]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[2,1,5,4,8,7,3,6]=>[2,1,7,4,8,6,3,5]=>[5,3,6,8,4,7,1,2]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]
[5,4,8,7,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,4,3,8,7,1,5,6]=>[6,3,2,8,7,1,5,4]=>[4,5,1,7,8,2,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]
[3,4,1,8,6,2,7,5]=>[6,3,2,8,7,1,5,4]=>[4,5,1,7,8,2,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]
[3,8,5,4,2,1,7,6]=>[6,8,5,4,3,1,7,2]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[4,8,6,5,2,7,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,2,8,7,5,4,1,6]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[2,8,6,5,4,3,1,7]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[5,4,2,6,3,1,8,7]=>[6,5,3,4,2,1,8,7]=>[7,8,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]
[6,5,2,1,3,4,8,7]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[8,5,2,7,3,1,4,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,3,6,5,2,8,4,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,6,2,3,4,8,5,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,7,5,3,1,4,2,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,1,5,3,8,4,6,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,7,2,3,5,8,4,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,7,6,4,2,8,5,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,1,7,6,4,8,5,3]=>[2,1,8,7,5,6,4,3]=>[3,4,6,5,7,8,1,2]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[2,1,8,7,4,3,5,6]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[5,8,3,7,2,1,4,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[3,8,7,4,2,1,5,6]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[7,8,2,3,5,1,4,6]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,8,6,3,1,4,7,5]=>[5,8,7,4,1,6,3,2]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[8,1,6,3,2,4,5,7]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[5,7,1,4,8,3,6,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,1,7,5,4,8,3,2]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[6,3,7,5,8,4,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,6,1,5,8,3,4,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,6,7,5,1,3,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,2,6,1,7,3,4]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[5,4,2,6,8,3,7,1]=>[8,6,3,4,7,2,5,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[6,5,2,8,1,4,3,7]=>[7,6,5,8,3,2,1,4]=>[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[7,4,2,8,1,3,6,5]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[2,7,8,4,5,1,3,6]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[5,7,3,8,4,1,2,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[2,4,8,1,5,6,3,7]=>[4,7,8,1,5,6,2,3]=>[3,2,6,5,1,8,7,4]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]
[3,4,8,1,5,2,7,6]=>[6,4,8,2,5,1,7,3]=>[3,7,1,5,2,8,4,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[3,6,8,4,1,2,7,5]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[4,8,1,2,5,3,6,7]=>[6,8,3,4,5,1,7,2]=>[2,7,1,5,4,3,8,6]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]
[8,1,2,4,3,5,6,7]=>[8,2,3,5,4,6,7,1]=>[1,7,6,4,5,3,2,8]=>[.,[[[[[.,.],.],[.,.]],.],[.,.]]]
[5,8,7,4,6,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,7,6,3,5,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,8,7,6,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,9,6,8,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[5,8,4,7,6,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,9,8,5,7,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[6,8,5,4,7,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,9,8,7,4,6,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[3,8,7,6,2,5,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,9,8,7,6,3,5,2,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[4,8,7,6,3,2,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,9,8,7,6,5,2,4,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[3,8,7,6,5,2,1,4]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[8,6,9,7,4,5,2,3,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[8,6,9,4,7,5,2,3,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[8,6,9,4,7,2,5,3,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[8,6,9,4,7,3,5,1,2]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[8,6,9,5,7,3,4,1,2]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[8,7,9,5,6,3,4,1,2]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,7,10,8,5,6,3,4,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,6,4,9,7,5,2,3,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,7,10,5,8,6,3,4,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,6,9,4,2,7,5,3,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,7,10,5,8,3,6,4,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,6,9,4,7,2,1,5,3]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[7,5,8,4,6,3,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,9,4,7,3,5,2,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,7,10,5,8,3,6,2,4,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,6,9,5,7,2,4,1,3]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,7,10,5,8,4,6,2,3,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[7,6,8,2,5,1,4,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,9,4,6,3,5,1,2]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,7,10,6,8,4,5,2,3,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,6,8,5,7,3,4,1,2]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,8,10,6,7,4,5,2,3,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[3,5,4,7,2,6,1,8]=>[7,5,3,6,2,4,1,8]=>[8,1,4,2,6,3,5,7]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[3,5,4,7,6,1,2,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[3,5,4,7,6,1,8,2]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[3,5,7,4,6,1,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,5,7,4,6,1,2,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[3,5,7,4,6,2,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[3,2,5,7,4,6,1,8]=>[7,2,5,6,3,4,1,8]=>[8,1,4,3,6,5,2,7]=>[[.,[[[.,.],.],[[.,.],[.,.]]]],.]
[3,5,2,7,6,4,1,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[3,5,7,2,6,4,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,3,7,6,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,3,7,6,1,2,8,4]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,3,7,6,1,4,2,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,3,7,6,4,1,2,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[3,5,7,2,6,1,4,8]=>[6,7,5,4,3,1,2,8]=>[8,2,1,3,4,5,7,6]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[5,3,7,6,4,1,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,7,5,4,1,8,2,6]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[3,7,5,4,1,8,6,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,7,5,1,4,8,6,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,7,5,1,4,8,2,6]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[3,5,7,1,2,6,8,4]=>[5,8,6,4,1,3,7,2]=>[2,7,3,1,4,6,8,5]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]
[3,5,7,2,1,6,8,4]=>[5,8,6,4,1,3,7,2]=>[2,7,3,1,4,6,8,5]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]
[3,5,2,7,1,6,4,8]=>[5,7,3,6,1,4,2,8]=>[8,2,4,1,6,3,7,5]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[5,3,7,1,6,2,4,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[3,5,7,1,4,6,8,2]=>[8,5,6,4,2,3,7,1]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[3,5,7,1,4,6,2,8]=>[7,5,6,4,2,3,1,8]=>[8,1,3,2,4,6,5,7]=>[[.,[[.,.],[.,[[.,.],[.,.]]]]],.]
[3,5,7,1,4,2,6,8]=>[6,5,7,4,2,1,3,8]=>[8,3,1,2,4,7,5,6]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[3,5,7,2,1,4,6,8]=>[5,6,7,4,1,2,3,8]=>[8,3,2,1,4,7,6,5]=>[[[[.,.],.],[.,[[[.,.],.],.]]],.]
[3,5,2,7,1,4,6,8]=>[5,6,3,7,1,2,4,8]=>[8,4,2,1,7,3,6,5]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]
[3,2,5,7,4,1,6,8]=>[6,2,5,7,3,1,4,8]=>[8,4,1,3,7,5,2,6]=>[[[.,[[.,.],.]],[[.,[.,.]],.]],.]
[3,5,2,7,4,1,6,8]=>[6,5,3,7,2,1,4,8]=>[8,4,1,2,7,3,5,6]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[3,5,7,4,2,1,6,8]=>[6,5,7,4,2,1,3,8]=>[8,3,1,2,4,7,5,6]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[3,5,7,4,1,2,6,8]=>[6,5,7,4,2,1,3,8]=>[8,3,1,2,4,7,5,6]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[3,5,4,7,1,6,8,2]=>[8,5,3,6,2,4,7,1]=>[1,7,4,2,6,3,5,8]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[3,5,4,7,1,2,6,8]=>[6,5,3,7,2,1,4,8]=>[8,4,1,2,7,3,5,6]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[3,5,4,7,2,1,6,8]=>[6,5,3,7,2,1,4,8]=>[8,4,1,2,7,3,5,6]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[3,5,4,2,7,1,6,8]=>[6,4,3,2,7,1,5,8]=>[8,5,1,7,2,3,4,6]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[3,5,4,7,2,1,8,6]=>[6,5,3,8,2,1,7,4]=>[4,7,1,2,8,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[3,5,4,7,1,2,8,6]=>[6,5,3,8,2,1,7,4]=>[4,7,1,2,8,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[5,7,6,3,1,8,4,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,7,6,3,1,8,2,4]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,5,7,4,1,2,8,6]=>[6,5,8,4,2,1,7,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[3,5,7,4,2,1,8,6]=>[6,5,8,4,2,1,7,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[3,2,5,7,1,4,8,6]=>[5,2,6,8,1,3,7,4]=>[4,7,3,1,8,6,2,5]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]
[3,5,2,7,1,4,8,6]=>[5,6,3,8,1,2,7,4]=>[4,7,2,1,8,3,6,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[3,5,7,2,1,4,8,6]=>[5,6,8,4,1,2,7,3]=>[3,7,2,1,4,8,6,5]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]
[3,5,7,1,4,2,8,6]=>[6,5,8,4,2,1,7,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[3,7,5,2,1,8,6,4]=>[5,8,7,4,1,6,3,2]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[3,7,2,5,1,8,6,4]=>[5,8,3,7,1,6,4,2]=>[2,4,6,1,7,3,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[3,2,7,5,1,8,6,4]=>[5,2,8,7,1,6,4,3]=>[3,4,6,1,7,8,2,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[3,2,7,5,1,8,4,6]=>[5,2,8,7,1,6,4,3]=>[3,4,6,1,7,8,2,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[3,7,2,5,1,8,4,6]=>[5,8,3,7,1,6,4,2]=>[2,4,6,1,7,3,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[3,7,5,2,1,8,4,6]=>[5,8,7,4,1,6,3,2]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[6,3,2,7,4,1,8,5]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[2,1,7,5,8,4,6,3]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,7,3,6,8,4,1,5]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[2,1,8,3,4,7,5,6]=>[2,1,8,4,5,7,6,3]=>[3,6,7,5,4,8,1,2]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]
[5,1,7,2,4,8,3,6]=>[7,2,8,4,5,6,1,3]=>[3,1,6,5,4,8,2,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[3,4,2,6,7,1,8,5]=>[6,3,2,8,5,1,7,4]=>[4,7,1,5,8,2,3,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[3,5,8,7,2,1,6,4]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[5,8,3,4,1,7,6,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,8,7,2,4,1,6,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,8,6,4,1,7,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,3,5,6,8,1,7,2]=>[8,6,3,4,7,2,5,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[3,7,6,4,1,8,5,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,7,4,1,8,6,5,2]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[3,8,4,1,7,6,5,2]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[3,2,7,6,1,5,4,8]=>[5,2,7,6,1,4,3,8]=>[8,3,4,1,6,7,2,5]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[3,2,8,7,6,1,5,4]=>[6,2,8,7,5,1,4,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[5,7,8,2,4,1,6,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,2,5,8,1,6,7,3]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[4,2,5,8,1,7,3,6]=>[7,5,3,8,2,6,1,4]=>[4,1,6,2,8,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[5,8,2,4,1,6,3,7]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[8,4,2,6,5,1,3,7]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,2,6,8,1,5,4,7]=>[5,2,7,8,1,6,3,4]=>[4,3,6,1,8,7,2,5]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]
[8,3,2,5,6,1,4,7]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[3,2,8,6,7,1,5,4]=>[6,2,8,7,5,1,4,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[3,2,6,8,7,1,5,4]=>[6,2,8,7,5,1,4,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[3,2,6,7,1,5,4,8]=>[5,2,7,6,1,4,3,8]=>[8,3,4,1,6,7,2,5]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[8,7,3,2,5,6,1,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,2,8,1,5,3,6,4]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,4,2,7,5,1,3,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,4,2,8,5,1,3,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,2,4,1,8,3,6,5]=>[8,4,6,2,7,3,5,1]=>[1,5,3,7,2,6,4,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[3,2,8,5,7,1,4,6]=>[6,2,8,7,5,1,4,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[2,6,5,7,1,8,3,4]=>[5,8,7,4,1,6,3,2]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[2,5,1,8,7,4,3,6]=>[3,7,1,8,6,5,2,4]=>[4,2,5,6,8,1,7,3]=>[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]
[8,1,4,6,3,5,2,7]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,3,5,4,1,6,2,7]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,6,3,4,1,5,2,7]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,4,7,6,8,2,3,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,1,8,2,3,7,6,5]=>[5,2,8,4,1,7,6,3]=>[3,6,7,1,4,8,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[2,1,8,5,3,4,7,6]=>[2,1,8,6,5,4,7,3]=>[3,7,4,5,6,8,1,2]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[5,2,4,6,8,7,3,1]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[1,6,8,3,4,5,7,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,4,8,6,1,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,4,2,6,7,8,1,3]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[6,4,2,7,3,5,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,4,1,8,3,5,6,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,5,4,8,7,3,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,4,2,1,3,6,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,1,3,2,5,6,4]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[6,8,2,3,1,7,5,4]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,4,3,2,6,8,5,1]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[2,7,4,3,8,5,6,1]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[8,3,7,2,1,5,6,4]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[5,7,8,2,4,3,1,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[8,4,7,3,2,6,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,3,1,6,7,4,2,5]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,2,5,7,4,8,1,6]=>[7,2,5,8,3,6,1,4]=>[4,1,6,3,8,5,2,7]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[8,2,7,3,4,1,5,6]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[7,1,6,3,5,8,2,4]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[2,8,5,6,7,1,4,3]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[1,5,2,7,8,6,4,3]=>[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[2,6,8,5,1,4,7,3]=>[5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[1,4,2,8,6,5,7,3]=>[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[3,5,1,6,8,7,2,4]=>[7,8,3,4,6,5,1,2]=>[2,1,5,6,4,3,8,7]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]
[5,7,6,2,1,3,8,4]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[2,5,8,7,4,1,6,3]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[4,1,7,5,2,6,8,3]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[7,6,2,4,5,1,8,3]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,3,4,2,5,8,6,1]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[8,7,4,2,5,1,6,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,1,4,5,2,6,7,3]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[5,2,4,8,6,7,1,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,5,6,2,1,3,7,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,2,1,5,6,7,8,3]=>[8,3,2,4,5,6,7,1]=>[1,7,6,5,4,2,3,8]=>[.,[[[[[.,[.,.]],.],.],.],[.,.]]]
[3,4,6,5,1,7,8,2]=>[8,5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[7,3,5,2,4,6,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,3,7,2,4,6,1,8]=>[7,5,6,4,2,3,1,8]=>[8,1,3,2,4,6,5,7]=>[[.,[[.,.],[.,[[.,.],[.,.]]]]],.]
[3,7,5,2,4,6,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,7,3,2,4,6,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,5,3,2,4,7,6,8]=>[1,5,4,3,2,7,6,8]=>[8,6,7,2,3,4,5,1]=>[[[[.,.],[.,[.,[.,.]]]],[.,.]],.]
[1,5,3,2,7,4,6,8]=>[1,6,4,3,7,2,5,8]=>[8,5,2,7,3,4,6,1]=>[[[[.,.],[.,[.,.]]],[[.,.],.]],.]
[5,7,3,2,1,4,6,8]=>[6,7,5,4,3,1,2,8]=>[8,2,1,3,4,5,7,6]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[5,7,3,2,4,1,6,8]=>[6,7,5,4,3,1,2,8]=>[8,2,1,3,4,5,7,6]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[5,1,3,2,4,7,6,8]=>[5,2,4,3,1,7,6,8]=>[8,6,7,1,3,4,2,5]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[7,1,3,5,2,4,6,8]=>[7,2,5,6,3,4,1,8]=>[8,1,4,3,6,5,2,7]=>[[.,[[[.,.],.],[[.,.],[.,.]]]],.]
[5,1,3,7,2,4,6,8]=>[6,2,5,7,3,1,4,8]=>[8,4,1,3,7,5,2,6]=>[[[.,[[.,.],.]],[[.,[.,.]],.]],.]
[3,2,7,5,1,4,6,8]=>[5,2,7,6,1,4,3,8]=>[8,3,4,1,6,7,2,5]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[5,7,3,1,2,4,6,8]=>[6,7,5,4,3,1,2,8]=>[8,2,1,3,4,5,7,6]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[1,5,3,7,2,4,6,8]=>[1,6,5,7,3,2,4,8]=>[8,4,2,3,7,5,6,1]=>[[[[.,.],[.,.]],[[.,[.,.]],.]],.]
[5,3,2,7,4,1,6,8]=>[6,5,3,7,2,1,4,8]=>[8,4,1,2,7,3,5,6]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[5,3,2,4,7,1,6,8]=>[6,4,3,2,7,1,5,8]=>[8,5,1,7,2,3,4,6]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[5,3,2,1,4,7,6,8]=>[5,4,3,2,1,7,6,8]=>[8,6,7,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[5,3,2,1,7,4,6,8]=>[6,4,3,2,7,1,5,8]=>[8,5,1,7,2,3,4,6]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[1,3,2,7,5,4,6,8]=>[1,3,2,7,6,5,4,8]=>[8,4,5,6,7,2,3,1]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]
[5,3,1,2,7,4,6,8]=>[6,4,3,2,7,1,5,8]=>[8,5,1,7,2,3,4,6]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[5,3,1,2,4,7,6,8]=>[5,4,3,2,1,7,6,8]=>[8,6,7,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[7,3,1,5,2,4,6,8]=>[7,5,3,6,2,4,1,8]=>[8,1,4,2,6,3,5,7]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[7,5,1,3,2,4,6,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[3,7,1,5,2,4,6,8]=>[5,7,3,6,1,4,2,8]=>[8,2,4,1,6,3,7,5]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[3,2,1,7,5,4,6,8]=>[3,2,1,7,6,5,4,8]=>[8,4,5,6,7,1,2,3]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[3,1,2,7,5,4,6,8]=>[3,2,1,7,6,5,4,8]=>[8,4,5,6,7,1,2,3]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[3,1,7,2,5,4,6,8]=>[4,2,7,1,6,5,3,8]=>[8,3,5,6,1,7,2,4]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[3,1,7,5,2,4,6,8]=>[5,2,7,6,1,4,3,8]=>[8,3,4,1,6,7,2,5]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[1,7,5,3,2,4,6,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[1,2,3,4,5,7,9,6,8]=>[1,2,3,4,5,8,9,6,7]=>[7,6,9,8,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],[[.,.],.]]
[1,2,3,4,6,9,5,7,8]=>[1,2,3,4,7,9,5,8,6]=>[6,8,5,9,7,4,3,2,1]=>[[[[[[.,.],.],.],.],.],[[.,.],[.,.]]]
[1,9,8,7,6,2,5,4,3]=>[1,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,9,8,7,1,6,5,4,3]=>[5,9,8,7,1,6,4,3,2]=>[2,3,4,6,1,7,8,9,5]=>[[.,.],[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,9,8,7,6,5,2,1,4]=>[8,9,7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7,9,8]=>[[.,.],[.,[.,[.,[.,[.,[[.,.],.]]]]]]]
[1,10,9,8,7,6,5,2,4,3]=>[1,10,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[4,9,8,7,6,1,2,5,3]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[1,10,9,8,7,6,2,5,4,3]=>[1,10,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[1,8,7,4,2,6,5,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,9,8,7,1,2,6,4,3]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[2,10,9,8,7,1,6,5,4,3]=>[6,10,9,8,7,1,5,4,3,2]=>[2,3,4,5,1,7,8,9,10,6]=>[[.,.],[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]]
[2,8,5,1,7,6,4,3]=>[4,8,7,1,6,5,3,2]=>[2,3,5,6,1,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[6,8,5,1,2,7,4,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,10,1,9,8,7,6,5,4,3]=>[3,10,1,9,8,7,6,5,4,2]=>[2,4,5,6,7,8,9,1,10,3]=>[[.,.],[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,10,9,8,7,6,5,2,1,4]=>[9,10,8,7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7,8,10,9]=>[[.,.],[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]
[1,11,10,9,8,7,6,5,2,4,3]=>[1,11,10,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,10,11,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[1,9,8,7,6,3,2,5,4]=>[1,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,10,9,8,7,6,1,2,5,3]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[1,11,10,9,8,7,6,2,5,4,3]=>[1,11,10,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,10,11,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[1,9,8,7,4,2,6,5,3]=>[1,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,9,8,7,6,3,2,1,5]=>[8,9,7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7,9,8]=>[[.,.],[.,[.,[.,[.,[.,[[.,.],.]]]]]]]
[5,10,9,8,7,1,2,6,4,3]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[2,8,1,4,7,6,5,3]=>[3,8,1,7,6,5,4,2]=>[2,4,5,6,7,1,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[2,9,8,5,1,7,6,4,3]=>[5,9,8,7,1,6,4,3,2]=>[2,3,4,6,1,7,8,9,5]=>[[.,.],[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,9,8,7,4,1,2,6,3]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[6,10,9,8,2,1,7,5,4,3]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[1,8,7,4,3,2,6,5]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,9,8,5,1,2,7,4,3]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[1,8,5,4,2,7,6,3]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[9,2,1,10,8,7,6,5,4,3]=>[10,3,2,9,8,7,6,5,4,1]=>[1,4,5,6,7,8,9,2,3,10]=>[.,[[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,2,11,10,9,8,7,6,5,4,3]=>[1,2,11,10,9,8,7,6,5,4,3]=>[3,4,5,6,7,8,9,10,11,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[7,5,3,4,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,5,3,6,2,4,7,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,6,3,7,4,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,6,2,7,4,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,6,3,4,1,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,7,2,3,6,8,5,4]=>[1,8,3,4,7,6,5,2]=>[2,5,6,7,4,3,8,1]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[3,5,6,4,8,2,7,1]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[3,5,1,4,8,2,7,6]=>[6,4,3,2,8,1,7,5]=>[5,7,1,8,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[1,7,5,4,8,2,6,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,7,5,1,6,4,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[2,7,5,4,8,6,1,3]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[1,7,5,4,8,6,3,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,5,1,4,8,7,3,6]=>[3,7,1,4,8,6,2,5]=>[5,2,6,8,4,1,7,3]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]
[3,6,4,2,8,7,1,5]=>[7,8,4,3,6,5,1,2]=>[2,1,5,6,3,4,8,7]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]
[3,5,2,4,8,1,6,7]=>[6,4,3,2,8,1,7,5]=>[5,7,1,8,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[3,5,6,4,8,1,2,7]=>[7,6,4,3,8,2,1,5]=>[5,1,2,8,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[1,5,6,4,8,7,2,3]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[3,6,4,1,8,7,2,5]=>[7,8,4,3,6,5,1,2]=>[2,1,5,6,3,4,8,7]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]
[3,6,4,5,8,7,2,1]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[1,6,4,3,8,5,2,7]=>[1,7,6,4,8,3,2,5]=>[5,2,3,8,4,6,7,1]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]
[7,1,3,4,5,8,2,6]=>[8,2,7,4,5,6,3,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[7,6,1,4,5,3,8,2]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[7,6,1,3,5,4,8,2]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[7,1,3,2,5,8,4,6]=>[8,2,4,3,7,6,5,1]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[1,6,4,2,8,5,3,7]=>[1,7,6,4,8,3,2,5]=>[5,2,3,8,4,6,7,1]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]
[7,6,5,8,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,5,8,3,1,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,6,4,3,8,1,7,5]=>[6,8,4,3,7,1,5,2]=>[2,5,1,7,3,4,8,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[2,6,4,3,8,5,7,1]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[7,2,3,1,5,8,6,4]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[7,1,5,6,3,8,4,2]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[7,3,6,5,1,4,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,2,6,5,3,8,1,4]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,2,3,5,4,8,6,1]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[2,6,4,5,8,1,7,3]=>[6,8,4,3,7,1,5,2]=>[2,5,1,7,3,4,8,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[2,5,6,4,8,3,1,7]=>[7,6,4,3,8,2,1,5]=>[5,1,2,8,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[3,5,6,1,4,7,8,2]=>[8,5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[7,6,1,3,4,5,8,2]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[7,6,1,5,3,4,8,2]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[7,6,1,5,4,3,8,2]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[1,6,4,5,8,3,2,7]=>[1,7,6,4,8,3,2,5]=>[5,2,3,8,4,6,7,1]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]
[7,6,5,8,1,3,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,4,6,8,7,2,1,5]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[3,5,6,8,2,1,7,4]=>[6,8,5,7,3,1,4,2]=>[2,4,1,3,7,5,8,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[4,2,1,5,3,7,8,6]=>[5,3,2,4,1,8,7,6]=>[6,7,8,1,4,2,3,5]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]
[4,2,5,6,3,1,8,7]=>[6,5,3,4,2,1,8,7]=>[7,8,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]
[3,5,6,8,1,7,2,4]=>[7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[4,1,5,6,3,2,8,7]=>[6,2,5,4,3,1,8,7]=>[7,8,1,3,4,5,2,6]=>[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]
[4,5,3,1,7,2,8,6]=>[6,4,3,2,8,1,7,5]=>[5,7,1,8,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[4,1,3,5,2,7,8,6]=>[5,2,3,4,1,8,7,6]=>[6,7,8,1,4,3,2,5]=>[[.,[[[.,.],.],[.,.]]],[.,[.,.]]]
[2,5,4,7,3,8,6,1]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[4,1,5,3,2,7,8,6]=>[5,2,4,3,1,8,7,6]=>[6,7,8,1,3,4,2,5]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]
[4,5,3,7,1,2,8,6]=>[6,5,3,8,2,1,7,4]=>[4,7,1,2,8,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[4,3,6,1,2,7,5,8]=>[5,4,7,2,1,6,3,8]=>[8,3,6,1,2,7,4,5]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[5,1,3,2,4,6,7,8]=>[5,2,4,3,1,6,7,8]=>[8,7,6,1,3,4,2,5]=>[[[[.,[[.,.],[.,[.,.]]]],.],.],.]
[3,6,1,7,4,5,2,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[5,1,3,4,2,6,7,8]=>[5,2,4,3,1,6,7,8]=>[8,7,6,1,3,4,2,5]=>[[[[.,[[.,.],[.,[.,.]]]],.],.],.]
[5,3,1,4,2,6,7,8]=>[5,4,3,2,1,6,7,8]=>[8,7,6,1,2,3,4,5]=>[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]
[4,5,2,3,7,1,8,6]=>[6,4,3,2,8,1,7,5]=>[5,7,1,8,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[4,2,6,1,3,7,5,8]=>[5,4,7,2,1,6,3,8]=>[8,3,6,1,2,7,4,5]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[3,1,4,7,6,5,2,8]=>[7,2,3,6,5,4,1,8]=>[8,1,4,5,6,3,2,7]=>[[.,[[[.,.],.],[.,[.,[.,.]]]]],.]
[3,6,2,7,1,5,8,4]=>[5,8,3,6,1,4,7,2]=>[2,7,4,1,6,3,8,5]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]
[4,6,2,7,1,3,5,8]=>[6,7,5,4,3,1,2,8]=>[8,2,1,3,4,5,7,6]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[5,1,4,2,3,6,7,8]=>[5,2,4,3,1,6,7,8]=>[8,7,6,1,3,4,2,5]=>[[[[.,[[.,.],[.,[.,.]]]],.],.],.]
[3,6,1,7,2,5,8,4]=>[5,8,3,6,1,4,7,2]=>[2,7,4,1,6,3,8,5]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]
[2,6,5,3,4,7,8,1]=>[8,5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[3,6,1,7,5,4,2,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[5,1,4,3,2,6,7,8]=>[5,2,4,3,1,6,7,8]=>[8,7,6,1,3,4,2,5]=>[[[[.,[[.,.],[.,[.,.]]]],.],.],.]
[5,4,1,3,2,6,7,8]=>[5,4,3,2,1,6,7,8]=>[8,7,6,1,2,3,4,5]=>[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]
[6,4,2,5,3,8,1,7]=>[7,5,4,3,2,8,1,6]=>[6,1,8,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[4,6,2,3,5,1,8,7]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[6,2,4,5,1,8,3,7]=>[7,5,4,3,2,8,1,6]=>[6,1,8,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[8,2,6,7,1,4,5,3]=>[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[8,2,6,7,4,1,5,3]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[4,6,2,3,5,8,1,7]=>[7,5,4,3,2,8,1,6]=>[6,1,8,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[2,6,4,1,5,8,3,7]=>[4,7,5,1,3,8,2,6]=>[6,2,8,3,1,5,7,4]=>[[[.,.],[.,[[.,.],.]]],[[.,.],.]]
[2,8,1,6,7,4,5,3]=>[3,8,1,7,6,5,4,2]=>[2,4,5,6,7,1,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[6,8,4,5,7,2,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,8,6,1,4,7,5,3]=>[4,8,7,1,6,5,3,2]=>[2,3,5,6,1,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[2,8,1,6,4,7,5,3]=>[3,8,1,7,6,5,4,2]=>[2,4,5,6,7,1,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[2,6,1,4,8,5,3,7]=>[3,7,1,6,8,4,2,5]=>[5,2,4,8,6,1,7,3]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]]
[6,4,5,2,8,3,1,7]=>[7,6,4,3,8,2,1,5]=>[5,1,2,8,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[4,2,3,6,1,8,5,7]=>[5,3,2,7,1,8,4,6]=>[6,4,8,1,7,2,3,5]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]
[4,2,3,1,6,8,5,7]=>[4,3,2,1,7,8,5,6]=>[6,5,8,7,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],.],[[.,.],.]]
[4,2,3,8,6,1,7,5]=>[6,3,2,8,7,1,5,4]=>[4,5,1,7,8,2,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]
[6,4,5,8,2,3,7,1]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[8,6,7,2,4,5,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,4,8,5,2,3,7,1]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[4,2,8,3,1,6,7,5]=>[5,4,8,2,1,7,6,3]=>[3,6,7,1,2,8,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[2,4,8,1,3,6,7,5]=>[4,5,8,1,2,7,6,3]=>[3,6,7,2,1,8,5,4]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]
[2,4,1,8,3,6,7,5]=>[3,5,1,8,2,7,6,4]=>[4,6,7,2,8,1,5,3]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[2,1,4,8,6,3,7,5]=>[2,1,6,8,7,3,5,4]=>[4,5,3,7,8,6,1,2]=>[[[.,[.,.]],.],[.,[[.,.],[.,.]]]]
[6,4,8,2,5,3,7,1]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[8,6,2,4,7,5,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,6,8,2,3,5,7,1]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[2,6,8,4,1,5,7,3]=>[5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[2,6,8,1,4,5,7,3]=>[4,8,7,1,6,5,3,2]=>[2,3,5,6,1,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[2,1,6,8,4,5,7,3]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,8,1,4,6,7,3,5]=>[3,8,1,7,6,5,4,2]=>[2,4,5,6,7,1,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[4,8,6,2,3,7,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,2,6,7,3,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,4,5,1,3,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,6,2,3,8,4,1,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,6,7,5,8,2,3,4]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,2,5,8,3,4,7,1]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[6,2,3,8,7,4,1,5]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,4,7,3,5,8,6,1]=>[8,4,7,2,5,6,3,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[2,5,3,7,1,8,4,6]=>[5,7,3,8,1,6,2,4]=>[4,2,6,1,8,3,7,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[5,2,8,3,1,4,6,7]=>[6,5,8,4,2,1,7,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[4,8,2,3,6,5,7,1]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[5,8,1,3,6,4,7,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,8,1,4,3,6,2,7]=>[7,8,3,5,4,6,1,2]=>[2,1,6,4,5,3,8,7]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[5,8,4,1,3,7,6,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,4,5,3,8,1,7,2]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[4,6,5,3,7,1,2,8]=>[7,6,4,3,5,2,1,8]=>[8,1,2,5,3,4,6,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[4,2,6,5,1,7,3,8]=>[7,5,4,3,2,6,1,8]=>[8,1,6,2,3,4,5,7]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[4,3,5,7,2,1,6,8]=>[6,5,3,7,2,1,4,8]=>[8,4,1,2,7,3,5,6]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[3,4,6,2,5,8,7,1]=>[8,4,5,2,3,7,6,1]=>[1,6,7,3,2,5,4,8]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[4,2,5,1,6,8,3,7]=>[7,4,3,2,5,8,1,6]=>[6,1,8,5,2,3,4,7]=>[[.,[[.,[.,[.,.]]],.]],[[.,.],.]]
[1,8,2,3,6,5,7,4]=>[1,8,3,4,7,6,5,2]=>[2,5,6,7,4,3,8,1]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[4,2,8,3,5,7,1,6]=>[7,4,8,2,5,6,1,3]=>[3,1,6,5,2,8,4,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[4,3,8,6,5,7,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,3,6,4,2,5,8,7]=>[1,5,6,4,2,3,8,7]=>[7,8,3,2,4,6,5,1]=>[[[[.,.],.],[.,[[.,.],.]]],[.,.]]
[1,5,4,7,3,6,8,2]=>[1,8,5,6,3,4,7,2]=>[2,7,4,3,6,5,8,1]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]
[5,2,3,8,4,1,7,6]=>[6,5,3,8,2,1,7,4]=>[4,7,1,2,8,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[7,5,3,4,8,2,1,6]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,2,8,3,4,1,5,6]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[7,4,3,8,5,2,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,6,2,7,3,1,5,8]=>[6,7,5,4,3,1,2,8]=>[8,2,1,3,4,5,7,6]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[7,6,3,8,2,4,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,2,8,5,1,3,4,6]=>[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[1,5,3,7,6,8,4,2]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,6,3,7,8,2,4,5]=>[1,8,6,7,5,3,4,2]=>[2,4,3,5,7,6,8,1]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[4,2,6,5,7,8,3,1]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[4,2,6,7,5,8,1,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,2,6,7,8,1,4,5]=>[6,2,8,7,5,1,4,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[5,1,8,3,6,4,7,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,6,8,5,7,2,1,4]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[5,1,3,8,7,6,4,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,8,5,6,1,7,2,4]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[3,4,8,1,7,6,2,5]=>[7,4,8,2,6,5,1,3]=>[3,1,5,6,2,8,4,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[4,7,6,8,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,4,8,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,3,6,8,7,1,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,8,4,6,7,2,5,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,2,8,3,7,1,6,4]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[7,4,5,8,6,1,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,3,6,8,7,1,5,2]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[6,4,8,3,1,7,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,6,5,8,7,1,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,7,4,8,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,6,4,8,2,7,3,1]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[5,6,8,3,1,7,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,6,3,8,2,7,5,1]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[5,3,8,1,7,2,6,4]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[6,5,8,1,3,7,4,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,5,3,8,2,7,4,1]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[6,4,8,1,3,7,5,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,2,8,3,4,7,5,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,6,3,1,4,2,5,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,5,4,3,7,8,2,6]=>[1,7,4,3,8,6,2,5]=>[5,2,6,8,3,4,7,1]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]
[7,8,4,2,5,3,1,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,2,7,8,5,3,1,6]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[4,2,5,3,1,7,8,6]=>[5,4,3,2,1,8,7,6]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[4,2,8,7,6,3,1,5]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[4,2,7,6,3,1,5,8]=>[6,5,7,4,2,1,3,8]=>[8,3,1,2,4,7,5,6]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[6,3,1,7,5,2,4,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[6,3,1,8,7,5,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,6,3,1,7,5,2,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,2,7,6,3,1,8,5]=>[6,5,8,4,2,1,7,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[7,6,3,1,8,4,2,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,6,4,2,1,8,3,5]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[1,8,2,7,6,4,3,5]=>[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[8,3,5,7,6,4,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,2,5,7,6,3,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,5,2,4,8,6,3,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,7,5,2,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,5,2,4,6,3,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,2,8,6,3,7,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,7,5,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,3,6,4,7,5,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,8,2,7,5,3,6,4]=>[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[7,5,2,1,8,3,6,4]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[7,5,2,6,3,1,8,4]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,2,7,4,1,8,6,3]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[5,2,8,7,4,1,6,3]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[8,7,4,1,5,2,6,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,4,1,5,2,8,6,3]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[7,6,3,1,4,2,8,5]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,5,2,8,6,3,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,5,2,6,3,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,5,2,1,3,6,4,8]=>[7,6,4,3,5,2,1,8]=>[8,1,2,5,3,4,6,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[8,7,5,2,1,3,6,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,5,2,1,3,8,6,4]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[8,6,4,7,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,4,8,7,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,4,7,5,2,1,3,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,3,1,4,7,5,2,8]=>[7,6,3,4,5,2,1,8]=>[8,1,2,5,4,3,6,7]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[6,3,1,4,8,7,5,2]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[8,6,3,1,4,7,5,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,5,7,6,3,1,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,8,2,5,7,6,4,3]=>[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,8,2,6,4,7,5,3]=>[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[7,5,2,1,6,4,8,3]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[6,3,8,7,4,1,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,3,7,4,1,5,2,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,4,1,6,3,5,2,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[7,4,1,8,6,3,5,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,4,6,3,1,7,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,4,7,5,2,1,8,3]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,6,3,5,2,7,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,3,5,2,8,7,4,1]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[6,3,5,2,7,4,1,8]=>[7,6,4,3,5,2,1,8]=>[8,1,2,5,3,4,6,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[4,5,7,2,6,3,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[3,5,8,4,6,1,7,2]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[1,4,7,3,5,2,6,8]=>[1,6,7,4,5,2,3,8]=>[8,3,2,5,4,7,6,1]=>[[[[.,.],.],[[.,.],[[.,.],.]]],.]
[5,7,4,2,6,3,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,2,6,3,5,7,1,8]=>[7,4,5,2,3,6,1,8]=>[8,1,6,3,2,5,4,7]=>[[.,[[[.,.],[[.,.],.]],[.,.]]],.]
[1,4,5,8,2,7,3,6]=>[1,7,5,8,3,6,2,4]=>[4,2,6,3,8,5,7,1]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[2,4,5,8,1,6,7,3]=>[5,8,3,7,1,6,4,2]=>[2,4,6,1,7,3,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[8,3,4,7,1,6,5,2]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[4,2,5,7,8,1,6,3]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[8,3,4,6,5,1,7,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,1,7,3,5,2,6,8]=>[6,2,7,4,5,1,3,8]=>[8,3,1,5,4,7,2,6]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[3,1,6,8,2,7,4,5]=>[5,2,8,7,1,6,4,3]=>[3,4,6,1,7,8,2,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[6,1,3,8,2,5,4,7]=>[7,2,5,8,3,6,1,4]=>[4,1,6,3,8,5,2,7]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[4,8,2,3,1,6,7,5]=>[5,8,4,3,1,7,6,2]=>[2,6,7,1,3,4,8,5]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[3,2,6,8,1,5,7,4]=>[5,2,8,7,1,6,4,3]=>[3,4,6,1,7,8,2,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[8,2,6,1,5,4,7,3]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,6,2,7,1,5,4,3]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[7,6,8,3,1,5,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,7,4,2,8,1,6,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,3,7,2,8,1,5,4]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[7,5,2,8,6,1,4,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,7,3,8,1,5,6,4]=>[5,8,3,7,1,6,4,2]=>[2,4,6,1,7,3,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,6,8,5,2,4,3,7]=>[1,7,8,6,5,4,2,3]=>[3,2,4,5,6,8,7,1]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[4,5,7,2,8,1,6,3]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[4,5,6,8,3,1,7,2]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[8,4,6,5,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,6,4,8,3,1,7,2]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[3,4,7,1,2,6,5,8]=>[5,4,7,2,1,6,3,8]=>[8,3,6,1,2,7,4,5]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[4,8,1,6,2,3,7,5]=>[6,8,3,7,5,1,4,2]=>[2,4,1,5,7,3,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[4,5,3,1,7,2,6,8]=>[6,4,3,2,7,1,5,8]=>[8,5,1,7,2,3,4,6]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[5,2,7,1,3,6,4,8]=>[7,4,6,2,5,3,1,8]=>[8,1,3,5,2,6,4,7]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[7,8,1,2,4,3,6,5]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[8,4,1,6,2,3,7,5]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[4,8,3,1,2,5,7,6]=>[5,8,4,3,1,6,7,2]=>[2,7,6,1,3,4,8,5]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[4,1,3,6,5,7,8,2]=>[8,2,3,5,4,6,7,1]=>[1,7,6,4,5,3,2,8]=>[.,[[[[[.,.],.],[.,.]],.],[.,.]]]
[6,1,3,4,2,8,5,7]=>[7,2,5,4,3,8,1,6]=>[6,1,8,3,4,5,2,7]=>[[.,[[.,.],[.,[.,.]]]],[[.,.],.]]
[8,1,4,2,5,7,6,3]=>[8,2,7,4,5,6,3,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[8,1,4,3,5,7,6,2]=>[8,2,7,4,5,6,3,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[5,2,4,1,3,7,8,6]=>[5,4,3,2,1,8,7,6]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[2,6,5,3,1,7,8,4]=>[5,8,4,3,1,6,7,2]=>[2,7,6,1,3,4,8,5]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[8,3,2,1,5,7,6,4]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[1,7,4,3,6,8,2,5]=>[1,8,7,4,5,6,3,2]=>[2,3,6,5,4,7,8,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[2,7,6,3,1,8,4,5]=>[5,8,7,4,1,6,3,2]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[2,8,4,6,3,7,5,1]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[8,7,1,3,6,5,4,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,8,5,7,4,2,6,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,8,6,5,7,1,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,6,2,7,1,5,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,7,5,3,8,2,1,6]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[6,1,5,3,8,4,2,7]=>[7,2,6,4,8,3,1,5]=>[5,1,3,8,4,6,2,7]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]
[8,1,5,4,7,2,6,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,1,4,7,5,8,3,6]=>[2,1,7,8,5,6,3,4]=>[4,3,6,5,8,7,1,2]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]
[6,3,5,8,7,4,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,7,2,8,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,4,8,7,3,5,6,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,1,7,6,3,5,4,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,6,8,5,7,4,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,7,6,8,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,7,2,8,6,4,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,8,7,5,6,4,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,8,7,6,4,5,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,8,7,6,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,6,7,2,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[3,6,7,4,8,1,5,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,8,5,7,6,1,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,4,7,8,2,6,5,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,4,7,8,1,6,5,3]=>[5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[4,2,6,8,7,1,5,3]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[3,1,7,8,2,6,5,4]=>[5,2,8,7,1,6,4,3]=>[3,4,6,1,7,8,2,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[6,1,3,8,2,7,5,4]=>[8,2,5,7,3,6,4,1]=>[1,4,6,3,7,5,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[5,1,8,4,2,7,6,3]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[8,2,6,1,7,5,4,3]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,8,3,7,1,5,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,7,3,8,1,6,5,4]=>[5,8,3,7,1,6,4,2]=>[2,4,6,1,7,3,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,7,3,8,2,6,5,4]=>[1,8,5,7,3,6,4,2]=>[2,4,6,3,7,5,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[2,6,8,4,1,7,5,3]=>[5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[4,5,8,6,3,1,7,2]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[4,6,7,1,2,8,5,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,6,1,8,2,7,5,4]=>[5,8,3,7,1,6,4,2]=>[2,4,6,1,7,3,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[5,7,4,1,2,8,6,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,3,7,1,2,8,5,4]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[6,2,1,8,3,7,5,4]=>[8,3,2,7,5,6,4,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[8,1,5,6,3,2,4,7]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,7,8,3,5,2,4,6]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,5,3,7,2,4,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,7,2,4,8,5,3,6]=>[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,7,8,5,4,3,2,6]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,6,8,7,4,3,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,2,6,7,8,4,3,5]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[2,7,5,8,4,1,3,6]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[2,1,7,8,4,5,3,6]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[3,7,8,2,1,5,4,6]=>[5,8,7,4,1,6,3,2]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[8,5,1,4,7,3,6,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,4,7,5,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,1,4,6,7,3,5,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,5,8,6,7,4,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,6,8,4,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,7,1,3,6,8,2,5]=>[7,8,3,4,5,6,1,2]=>[2,1,6,5,4,3,8,7]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]
[3,7,6,4,8,1,2,5]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[3,1,7,5,6,8,2,4]=>[7,2,8,5,4,6,1,3]=>[3,1,6,4,5,8,2,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[2,3,6,5,7,1,8,4]=>[6,2,8,4,5,1,7,3]=>[3,7,1,5,4,8,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[3,7,5,4,2,1,8,6]=>[6,8,5,4,3,1,7,2]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[3,6,4,8,2,7,5,1]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[1,4,6,3,2,7,8,5]=>[1,5,8,4,2,6,7,3]=>[3,7,6,2,4,8,5,1]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]
[8,7,1,5,6,3,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,1,6,7,5,3,2,4]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,7,8,6,5,3,2,4]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,7,2,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,7,8,2,6,4,5,3]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[8,7,2,5,4,6,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,2,5,3,1,6,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,3,2,1,5,6,4]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,2,6,7,3,1,5,4]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[1,7,2,8,5,6,4,3]=>[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[2,7,1,8,4,6,5,3]=>[3,8,1,7,6,5,4,2]=>[2,4,5,6,7,1,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[3,7,8,2,1,6,5,4]=>[5,8,7,4,1,6,3,2]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[8,7,6,1,4,5,3,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,8,1,2,3,7,5,6]=>[5,8,3,4,1,7,6,2]=>[2,6,7,1,4,3,8,5]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[1,8,2,3,6,5,4,7]=>[1,8,3,4,7,6,5,2]=>[2,5,6,7,4,3,8,1]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[3,5,8,4,7,2,6,1]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[1,8,5,4,6,2,3,7]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,8,5,4,6,1,2,7]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[3,8,5,1,6,4,2,7]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[2,8,5,4,6,3,1,7]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[1,8,5,4,6,3,2,7]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,5,8,4,7,3,6,1]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[3,6,4,2,7,8,5,1]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[3,5,4,1,6,2,7,8]=>[6,4,3,2,5,1,7,8]=>[8,7,1,5,2,3,4,6]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[4,5,8,1,7,6,2,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,5,8,4,7,1,6,2]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[1,5,8,4,7,3,6,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,6,4,1,7,8,5,2]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[3,6,4,8,7,5,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,6,4,3,7,8,5,2]=>[1,8,7,4,5,6,3,2]=>[2,3,6,5,4,7,8,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[7,1,3,4,8,6,5,2]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,6,1,3,8,4,2,5]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,6,4,2,7,8,3,5]=>[1,8,7,4,5,6,3,2]=>[2,3,6,5,4,7,8,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[2,6,4,3,7,1,8,5]=>[6,8,4,3,5,1,7,2]=>[2,7,1,5,3,4,8,6]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]
[2,6,4,1,7,8,3,5]=>[4,8,7,1,5,6,3,2]=>[2,3,6,5,1,7,8,4]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[7,2,3,4,8,6,5,1]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[7,2,3,1,8,6,4,5]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[7,2,3,4,1,6,8,5]=>[8,5,3,4,2,6,7,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]
[1,2,4,3,8,5,7,6]=>[1,2,4,3,8,6,7,5]=>[5,7,6,8,3,4,2,1]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]
[7,3,8,6,1,4,2,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,2,8,6,3,4,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,2,3,1,5,6,8,4]=>[8,4,3,2,6,5,7,1]=>[1,7,5,6,2,3,4,8]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[7,2,3,8,1,6,5,4]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[7,2,3,8,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,6,4,8,7,1,5,3]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[1,5,8,4,7,6,2,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,5,8,1,6,7,2,4]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[7,6,1,3,5,8,2,4]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[7,1,3,8,2,6,5,4]=>[8,2,5,7,3,6,4,1]=>[1,4,6,3,7,5,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[7,6,1,8,5,4,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,1,6,5,8,2,7,3]=>[8,2,6,4,7,3,5,1]=>[1,5,3,7,4,6,2,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[3,1,6,5,8,4,7,2]=>[8,2,6,4,7,3,5,1]=>[1,5,3,7,4,6,2,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[3,2,6,5,8,4,7,1]=>[8,2,6,4,7,3,5,1]=>[1,5,3,7,4,6,2,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[4,3,7,1,6,5,8,2]=>[8,4,6,2,5,3,7,1]=>[1,7,3,5,2,6,4,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[5,2,6,4,8,3,7,1]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[5,1,6,4,8,3,7,2]=>[8,2,6,4,7,3,5,1]=>[1,5,3,7,4,6,2,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[5,1,6,4,8,2,7,3]=>[8,2,6,4,7,3,5,1]=>[1,5,3,7,4,6,2,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[5,2,6,4,8,1,7,3]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[4,3,7,5,8,1,6,2]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[4,3,7,5,8,2,6,1]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[5,3,7,4,8,2,6,1]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[5,3,7,4,8,1,6,2]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[5,4,8,1,6,2,7,3]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[4,3,7,2,6,1,8,5]=>[6,4,8,2,5,1,7,3]=>[3,7,1,5,2,8,4,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[4,3,7,1,5,2,8,6]=>[6,4,8,2,5,1,7,3]=>[3,7,1,5,2,8,4,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[4,3,7,1,6,2,8,5]=>[6,4,8,2,5,1,7,3]=>[3,7,1,5,2,8,4,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[5,4,8,2,6,3,7,1]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[5,4,8,1,6,3,7,2]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[4,1,7,5,2,3,6,8]=>[6,2,7,5,4,1,3,8]=>[8,3,1,4,5,7,2,6]=>[[[.,[.,.]],[.,[.,[[.,.],.]]]],.]
[4,1,7,8,6,3,2,5]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[4,7,2,8,3,5,1,6]=>[7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[1,2,6,8,3,7,4,5]=>[1,2,8,7,5,6,4,3]=>[3,4,6,5,7,8,2,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[6,8,3,2,1,4,7,5]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,2,4,1,6,5,8,3]=>[8,4,6,2,5,3,7,1]=>[1,7,3,5,2,6,4,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[7,5,8,4,3,1,6,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,2,4,1,3,7,5]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[2,8,4,7,6,3,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,1,2,7,5,8,4,3]=>[8,2,3,7,5,6,4,1]=>[1,4,6,5,7,3,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[4,2,7,3,8,5,6,1]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[4,5,2,6,8,3,7,1]=>[8,6,3,4,7,2,5,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[4,8,3,2,5,7,6,1]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[7,2,4,3,8,5,6,1]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[6,8,5,3,4,7,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,7,6,2,3,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,4,1,5,3,7,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,3,4,7,6,2,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,8,3,5,2,6,7,4]=>[1,8,5,7,3,6,4,2]=>[2,4,6,3,7,5,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[6,8,3,5,1,4,7,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,5,4,2,3,7,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,2,4,3,7,6,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,2,1,3,5,6,4,7]=>[8,3,2,4,7,6,5,1]=>[1,5,6,7,4,2,3,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[8,1,3,4,2,5,7,6]=>[8,2,5,4,3,6,7,1]=>[1,7,6,3,4,5,2,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[8,1,3,2,5,6,4,7]=>[8,2,4,3,7,6,5,1]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[8,1,2,4,3,6,7,5]=>[8,2,3,5,4,7,6,1]=>[1,6,7,4,5,3,2,8]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[10,2,1,4,3,6,5,8,7,9]=>[10,3,2,5,4,7,6,9,8,1]=>[1,8,9,6,7,4,5,2,3,10]=>[.,[[[[.,[.,.]],[.,.]],[.,.]],[.,[.,.]]]]
[12,2,1,4,3,6,5,8,7,10,9,11]=>[12,3,2,5,4,7,6,9,8,11,10,1]=>[1,10,11,8,9,6,7,4,5,2,3,12]=>[.,[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,[.,.]]]]
[6,5,3,8,4,2,7,1]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[7,4,5,1,6,2,8,3]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,7,3,5,6,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,7,8,4,1,3,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,1,6,8,4,7,5,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,3,6,1,5,7,4,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,2,7,5,8,6,1,4]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[2,5,4,7,8,1,6,3]=>[6,8,3,7,5,1,4,2]=>[2,4,1,5,7,3,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[2,4,6,8,1,7,5,3]=>[5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[7,4,3,8,6,2,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,4,7,8,3,5,6,1]=>[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[3,2,7,6,1,8,4,5]=>[5,2,8,7,1,6,4,3]=>[3,4,6,1,7,8,2,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[3,2,6,8,1,7,4,5]=>[5,2,8,7,1,6,4,3]=>[3,4,6,1,7,8,2,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[4,3,6,2,1,8,5,7]=>[5,4,7,2,1,8,3,6]=>[6,3,8,1,2,7,4,5]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]
[3,6,4,2,5,8,1,7]=>[7,5,4,3,2,8,1,6]=>[6,1,8,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[4,6,2,3,7,5,8,1]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[5,8,4,2,3,6,7,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,4,5,3,2,1,7,6]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,8,3,4,2,1,7,6]=>[6,8,5,4,3,1,7,2]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[6,8,4,2,3,7,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,4,8,3,2,7,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,3,7,2,1,6,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,5,6,4,7,1,8,3]=>[6,8,4,3,5,1,7,2]=>[2,7,1,5,3,4,8,6]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]
[2,5,4,8,1,6,7,3]=>[5,8,3,7,1,6,4,2]=>[2,4,6,1,7,3,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[6,4,7,3,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,7,4,3,2,1,8,5]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,4,3,7,2,1,5,6]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[1,2,6,5,8,7,3,4]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,5,2,8,4,6,7,3]=>[1,8,3,7,5,6,4,2]=>[2,4,6,5,7,3,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,5,2,7,4,6,8,3]=>[1,8,3,6,5,4,7,2]=>[2,7,4,5,6,3,8,1]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[5,1,2,8,3,6,7,4]=>[8,2,3,7,5,6,4,1]=>[1,4,6,5,7,3,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[5,6,3,4,8,7,2,1]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[6,5,3,4,8,7,2,1]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[4,1,2,8,3,6,7,5]=>[5,2,3,8,1,7,6,4]=>[4,6,7,1,8,3,2,5]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]
[4,1,2,7,3,6,8,5]=>[5,2,3,8,1,6,7,4]=>[4,7,6,1,8,3,2,5]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]
[7,5,3,8,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,3,7,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,1,2,3,4,7,6]=>[6,8,3,4,5,1,7,2]=>[2,7,1,5,4,3,8,6]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]
[7,1,2,8,3,6,4,5]=>[8,2,3,7,5,6,4,1]=>[1,4,6,5,7,3,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[6,1,8,2,3,5,7,4]=>[8,2,7,4,5,6,3,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[6,1,7,2,3,5,8,4]=>[8,2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[1,6,8,2,4,5,7,3]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[4,3,8,7,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,8,2,7,4,6,5,3]=>[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,6,2,3,5,8,4]=>[8,2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[8,1,6,2,3,5,7,4]=>[8,2,7,4,5,6,3,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[8,1,7,2,3,5,6,4]=>[8,2,7,4,5,6,3,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[5,8,3,7,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,7,3,4,5,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,8,7,2,4,5,3,6]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[8,7,1,2,3,4,6,5]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[8,6,1,2,3,4,7,5]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[8,1,6,2,3,5,4,7]=>[8,2,7,4,5,6,3,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[1,7,6,2,4,5,3,8]=>[1,7,6,4,5,3,2,8]=>[8,2,3,5,4,6,7,1]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[1,8,7,4,6,3,5,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,3,7,5,1,4,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,2,5,8,7,3,6,1]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[1,8,3,5,7,2,6,4]=>[1,8,6,7,5,3,4,2]=>[2,4,3,5,7,6,8,1]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[2,3,5,7,4,8,6,1]=>[8,2,5,7,3,6,4,1]=>[1,4,6,3,7,5,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[2,4,6,3,7,8,5,1]=>[8,4,7,2,5,6,3,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[2,5,7,1,8,6,3,4]=>[4,8,7,1,6,5,3,2]=>[2,3,5,6,1,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[8,2,4,5,1,3,7,6]=>[8,5,6,4,2,3,7,1]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[1,3,8,5,2,4,6,7]=>[1,5,8,6,2,4,7,3]=>[3,7,4,2,6,8,5,1]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]
[2,6,7,1,8,4,5,3]=>[4,8,7,1,6,5,3,2]=>[2,3,5,6,1,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[5,8,3,1,4,2,6,7]=>[6,8,5,4,3,1,7,2]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[3,8,4,2,6,7,1,5]=>[7,8,4,3,6,5,1,2]=>[2,1,5,6,3,4,8,7]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]
[2,4,1,8,5,6,3,7]=>[3,7,1,8,5,6,2,4]=>[4,2,6,5,8,1,7,3]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[1,6,2,7,8,5,3,4]=>[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[3,5,2,6,7,8,4,1]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[4,5,1,6,7,3,8,2]=>[8,6,3,4,5,2,7,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[2,8,4,1,7,5,3,6]=>[4,8,7,1,6,5,3,2]=>[2,3,5,6,1,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[8,5,3,1,7,4,2,6]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,2,8,7,1,5,3,6]=>[7,5,8,6,2,4,1,3]=>[3,1,4,2,6,8,5,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[5,2,6,8,1,7,4,3]=>[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[5,7,3,2,6,8,1,4]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,4,7,3,1,6,2,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,1,2,3,5,8,4]=>[8,6,3,4,5,2,7,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[3,1,6,7,8,4,2,5]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[3,1,4,8,5,6,2,7]=>[7,2,3,8,5,6,1,4]=>[4,1,6,5,8,3,2,7]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[8,3,1,4,5,7,2,6]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[1,6,7,8,9,2,3,4,5]=>[1,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,8,9,1,2,3,4,5,10]=>[9,8,7,6,5,4,3,2,1,10]=>[10,1,2,3,4,5,6,7,8,9]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[6,7,8,1,2,3,4,5,9]=>[8,7,6,4,5,3,2,1,9]=>[9,1,2,3,5,4,6,7,8]=>[[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]],.]
[1,7,8,9,2,3,4,5,6]=>[1,9,8,7,5,6,4,3,2]=>[2,3,4,6,5,7,8,9,1]=>[[.,.],[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,7,8,9,10,2,3,4,5,6]=>[1,10,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[6,7,8,9,10,1,2,3,4,5,11]=>[10,9,8,7,6,5,4,3,2,1,11]=>[11,1,2,3,4,5,6,7,8,9,10]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],.]
[5,6,7,8,9,1,2,3,4,10]=>[9,8,7,6,5,4,3,2,1,10]=>[10,1,2,3,4,5,6,7,8,9]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[5,6,7,1,8,2,3,4,9]=>[8,7,6,4,5,3,2,1,9]=>[9,1,2,3,5,4,6,7,8]=>[[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]],.]
[1,6,7,8,2,9,3,4,5]=>[1,9,8,7,5,6,4,3,2]=>[2,3,4,6,5,7,8,9,1]=>[[.,.],[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,6,7,8,9,10,2,3,4,5]=>[1,10,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[1,7,8,9,10,11,2,3,4,5,6]=>[1,11,10,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,10,11,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,6,2,3,5,1,4,7]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,2,4,5,7,3,1,6]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,6,3,8,7,5,4,1]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,2,3,7,5,4,1,6]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,2,6,3,5,4,1,7]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,6,1,5,2,4,3,7]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,6,2,4,1,5,3,7]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[8,4,1,6,5,3,2,7]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,3,6,1,5,4,2,7]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,3,2,6,5,4,1,7]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,3,2,5,7,4,1,6]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,3,1,7,5,4,2,6]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,2,7,4,1,5,3,6]=>[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[6,1,3,8,7,5,4,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,6,1,8,7,5,4,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,8,1,5,7,6,4,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,5,2,8,7,6,4,1]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,4,8,2,7,6,5,1]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[3,4,8,7,1,6,5,2]=>[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[8,1,3,5,7,6,4,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,1,8,5,7,6,3,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,2,7,1,4,5,6,3]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,1,7,3,4,6,2,5]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,3,1,7,2,6,5,4]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[3,8,2,4,7,6,5,1]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[2,8,3,7,4,6,5,1]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,2,3,7,1,6,5,4]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[8,2,7,1,3,6,5,4]=>[8,4,7,2,5,6,3,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[8,1,7,2,6,4,3,5]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,1,7,5,2,4,3,6]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,2,3,7,4,6,1,5]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,4,8,5,7,6,3,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,2,4,3,7,6,1,5]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[8,2,7,3,5,1,4,6]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[8,2,7,4,3,1,5,6]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[8,2,7,3,1,5,6,4]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[8,2,1,5,7,6,4,3]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[6,2,1,8,7,5,4,3]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[6,1,8,2,7,5,4,3]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,1,7,3,5,2,6,4]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,5,2,7,6,4,3]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,1,7,2,4,6,5,3]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,2,4,1,7,6,5,3]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[4,2,8,3,7,6,5,1]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[4,8,2,1,7,6,5,3]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[5,1,8,7,2,6,4,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,8,1,3,7,6,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,2,5,4,1,7,6,3]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[5,1,4,8,7,6,3,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,4,3,7,6,5,2]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[4,8,1,3,7,6,5,2]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[4,3,8,1,7,6,5,2]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[5,8,6,3,2,1,7,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,7,6,3,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,5,7,2,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,7,1,3,2,8,6,4]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[5,8,1,3,2,7,4,6]=>[7,8,3,5,4,6,1,2]=>[2,1,6,4,5,3,8,7]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[8,5,1,3,2,4,6,7]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[7,5,1,3,2,4,8,6]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[7,5,8,2,1,4,3,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,1,2,5,4,8,3]=>[8,6,3,4,5,2,7,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[6,8,1,2,5,7,4,3]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[7,1,2,3,8,6,4,5]=>[8,2,3,4,7,6,5,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[8,1,6,4,2,3,5,7]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,5,4,8,2,3,7,6]=>[1,6,5,8,3,2,7,4]=>[4,7,2,3,8,5,6,1]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[1,7,8,2,3,5,6,4]=>[1,8,7,4,5,6,3,2]=>[2,3,6,5,4,7,8,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[7,5,8,2,3,1,4,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,4,1,2,6,8,3,5]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[6,2,8,1,5,7,3,4]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,2,5,4,1,8,6,3]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[7,3,5,4,2,1,8,6]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,3,2,8,5,6,1,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,7,4,3,6,8,5,2]=>[1,8,7,4,5,6,3,2]=>[2,3,6,5,4,7,8,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[4,7,6,5,2,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,7,6,5,1,3,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,4,6,8,7,2,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,4,2,1,8,5,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,7,3,2,1,8,5,4]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[1,7,6,3,2,8,4,5]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[5,4,2,1,7,3,6,8]=>[6,4,3,2,7,1,5,8]=>[8,5,1,7,2,3,4,6]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[6,5,8,1,7,3,4,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,5,8,2,3,7,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,5,8,3,4,1,7,2]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[4,1,2,8,5,3,6,7]=>[6,2,3,8,5,1,7,4]=>[4,7,1,5,8,3,2,6]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]
[3,7,4,1,6,5,2,8]=>[7,6,4,3,5,2,1,8]=>[8,1,2,5,3,4,6,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[3,7,6,1,5,2,8,4]=>[6,8,5,4,3,1,7,2]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[1,7,6,2,5,8,4,3]=>[1,8,7,4,5,6,3,2]=>[2,3,6,5,4,7,8,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[1,7,6,5,8,4,2,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,7,6,5,8,1,2,4]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[3,7,6,2,8,4,5,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,3,6,8,5,1,2,7]=>[7,6,5,8,3,2,1,4]=>[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[2,7,1,5,8,4,3,6]=>[3,8,1,7,6,5,4,2]=>[2,4,5,6,7,1,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[2,7,6,1,8,4,3,5]=>[4,8,7,1,6,5,3,2]=>[2,3,5,6,1,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[7,1,2,6,3,5,4,8]=>[7,2,3,6,5,4,1,8]=>[8,1,4,5,6,3,2,7]=>[[.,[[[.,.],.],[.,[.,[.,.]]]]],.]
[7,2,6,3,4,5,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,7,8,4,2,5,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,1,2,5,7,8,4,3]=>[8,2,3,7,5,6,4,1]=>[1,4,6,5,7,3,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[4,7,3,1,2,6,8,5]=>[5,8,4,3,1,6,7,2]=>[2,7,6,1,3,4,8,5]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[3,7,6,1,5,8,2,4]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[3,8,5,6,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,2,6,4,7,8,5,1]=>[8,2,7,4,5,6,3,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[4,2,7,1,3,8,6,5]=>[5,4,8,2,1,7,6,3]=>[3,6,7,1,2,8,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[5,2,1,4,7,8,3,6]=>[7,3,2,4,8,6,1,5]=>[5,1,6,8,4,2,3,7]=>[[.,[[.,[.,.]],.]],[.,[[.,.],.]]]
[5,6,2,7,3,4,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,1,3,8,5,4,7,2]=>[8,2,6,7,5,3,4,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[2,7,6,8,5,1,3,4]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[2,7,6,8,5,3,1,4]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[1,5,8,6,4,2,3,7]=>[1,7,8,6,5,4,2,3]=>[3,2,4,5,6,8,7,1]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[2,5,8,6,4,1,7,3]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[2,4,6,1,5,7,3,8]=>[4,7,5,1,3,6,2,8]=>[8,2,6,3,1,5,7,4]=>[[[.,.],[[.,[[.,.],.]],[.,.]]],.]
[4,7,2,3,1,6,8,5]=>[5,8,4,3,1,6,7,2]=>[2,7,6,1,3,4,8,5]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[6,7,3,1,5,4,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,4,6,2,8,3,5,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,3,5,1,4,8,2,6]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,4,6,5,1,2,7,8]=>[6,5,4,3,2,1,7,8]=>[8,7,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[7,5,4,3,8,6,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,3,8,2,6,7,5,1]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[4,3,8,2,5,7,1,6]=>[7,4,8,2,5,6,1,3]=>[3,1,6,5,2,8,4,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[4,1,6,2,5,3,7,8]=>[6,2,5,4,3,1,7,8]=>[8,7,1,3,4,5,2,6]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[5,1,8,6,4,7,2,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,1,8,5,6,3,7,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,2,6,1,5,3,8,7]=>[6,4,5,2,3,1,8,7]=>[7,8,1,3,2,5,4,6]=>[[.,[[.,.],[[.,.],[.,.]]]],[.,.]]
[6,7,2,3,1,5,8,4]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,5,2,3,8,1,6,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,5,2,3,8,4,1,6]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,5,1,7,6,3,8,2]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[8,1,7,5,2,3,4,6]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,6,3,1,4,2,5,7]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,8,3,6,1,7,2,5]=>[7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[6,2,7,8,3,4,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,2,3,4,1,6,7,8,9]=>[5,4,3,2,1,6,7,8,9]=>[9,8,7,6,1,2,3,4,5]=>[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.]
[4,2,3,1,5,6,7,8,9]=>[4,3,2,1,5,6,7,8,9]=>[9,8,7,6,5,1,2,3,4]=>[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.]
[1,2,4,3,5,6,7,8,9]=>[1,2,4,3,5,6,7,8,9]=>[9,8,7,6,5,3,4,2,1]=>[[[[[[[[.,.],.],[.,.]],.],.],.],.],.]
[1,2,4,6,8,9,7,5,3]=>[1,2,9,8,7,6,5,4,3]=>[3,4,5,6,7,8,9,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,2,4,6,8,10,9,7,5,3]=>[1,2,10,9,8,7,6,5,4,3]=>[3,4,5,6,7,8,9,10,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,2,4,6,8,5,7,3]=>[1,2,8,6,7,4,5,3]=>[3,5,4,7,6,8,2,1]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[2,1,7,5,8,6,3,4]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[4,7,3,8,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,8,7,4,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,3,8,4,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,4,3,6,5,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,5,8,7,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,8,6,7,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,2,7,6,5,8,3,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,6,7,8,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,5,3,8,2,7,6,1]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[3,8,5,4,1,7,6,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,4,7,2,5,8,3,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,3,8,7,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,3,6,4,1,2,8,7]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[6,8,4,3,5,7,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,2,4,8,7,6,1,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,2,4,5,1,8,6,7]=>[5,2,3,4,1,8,7,6]=>[6,7,8,1,4,3,2,5]=>[[.,[[[.,.],.],[.,.]]],[.,[.,.]]]
[1,4,5,3,8,2,6,7]=>[1,6,4,3,8,2,7,5]=>[5,7,2,8,3,4,6,1]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[5,1,8,2,4,3,6,7]=>[6,2,8,4,5,1,7,3]=>[3,7,1,5,4,8,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[1,5,4,8,2,3,6,7]=>[1,6,5,8,3,2,7,4]=>[4,7,2,3,8,5,6,1]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[4,8,3,1,6,7,2,5]=>[7,8,4,3,6,5,1,2]=>[2,1,5,6,3,4,8,7]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]
[3,4,8,2,6,5,7,1]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[3,6,2,4,8,7,1,5]=>[7,8,3,4,6,5,1,2]=>[2,1,5,6,4,3,8,7]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]
[4,7,3,2,6,8,1,5]=>[7,8,4,3,5,6,1,2]=>[2,1,6,5,3,4,8,7]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]
[7,3,4,6,8,1,2,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,6,7,2,5,8,1,4]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[1,5,6,8,3,7,2,4]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,1,5,8,3,4,7,2]=>[8,2,6,7,5,3,4,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[5,6,8,1,3,4,7,2]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[2,8,5,6,3,4,7,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,1,3,5,4,7,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,1,6,3,5,4,7,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,8,7,3,6,4,5,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,1,2,5,8,4,6,3]=>[8,2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[6,2,4,8,1,7,3,5]=>[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[3,1,7,8,5,4,6,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,6,2,7,4,8,5,3]=>[1,8,3,7,5,6,4,2]=>[2,4,6,5,7,3,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[2,7,1,8,4,3,5,6]=>[3,8,1,7,6,5,4,2]=>[2,4,5,6,7,1,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[6,7,1,8,3,2,4,5]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,7,6,3,5,8,1,4]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[6,7,2,8,1,3,4,5]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[5,1,6,8,7,2,3,4]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,5,7,6,8,2,3,4]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,6,8,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,1,5,7,8,3,6,4]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[4,6,2,5,7,1,8,3]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[3,8,6,7,5,1,2,4]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[4,7,5,8,6,3,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,5,1,3,2,6,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,6,8,1,5,4,7,3]=>[4,8,7,1,6,5,3,2]=>[2,3,5,6,1,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[6,1,5,8,3,2,7,4]=>[8,2,6,7,5,3,4,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[3,1,2,4,8,5,7,6]=>[3,2,1,4,8,6,7,5]=>[5,7,6,8,4,1,2,3]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]
[7,1,5,4,8,3,2,6]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,4,1,7,5,3,2,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[7,2,5,4,8,1,6,3]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[1,7,2,5,3,8,6,4]=>[1,8,3,7,5,6,4,2]=>[2,4,6,5,7,3,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[7,2,3,8,6,1,5,4]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[7,3,2,5,8,1,6,4]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[5,3,8,4,1,2,6,7]=>[6,5,8,4,2,1,7,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[2,4,8,3,7,1,5,6]=>[6,4,8,2,7,1,5,3]=>[3,5,1,7,2,8,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[5,2,8,4,1,6,3,7]=>[7,5,8,4,2,6,1,3]=>[3,1,6,2,4,8,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[7,6,5,2,1,8,4,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,7,5,1,8,3,6,4]=>[4,8,7,1,6,5,3,2]=>[2,3,5,6,1,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[5,1,8,7,4,3,6,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,8,7,2,4,6,1,5]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[5,7,1,3,2,4,8,6]=>[6,8,3,5,4,1,7,2]=>[2,7,1,4,5,3,8,6]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[4,2,7,6,3,5,8,1]=>[8,5,6,4,2,3,7,1]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[8,4,7,6,3,5,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,1,7,4,2,3,5,6]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,5,1,3,8,7,4,2]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[4,7,8,3,2,5,1,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[6,1,8,5,3,7,2,4]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,1,6,8,3,7,4,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,6,5,1,7,4,3,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,6,4,1,3,5,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,2,3,7,1,4,5,6]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[2,8,3,7,1,4,5,6]=>[5,8,3,7,1,6,4,2]=>[2,4,6,1,7,3,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[5,6,2,7,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,6,2,7,4,1,3,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,7,8,5,2,1,4,6]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[6,8,4,7,3,1,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,6,5,1,2,7,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,6,5,1,2,3,7]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[3,4,5,1,7,6,8,2]=>[8,4,3,2,6,5,7,1]=>[1,7,5,6,2,3,4,8]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[3,8,7,6,5,1,2,4]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[8,4,6,7,1,2,5,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,7,2,6,1,8,4,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,7,2,6,1,3,8,4]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,8,2,6,1,4,7,3]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[3,8,7,5,6,1,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,4,7,2,1,5,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,4,6,5,1,3,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[1,7,3,4,5,2,8,6]=>[1,8,6,4,5,3,7,2]=>[2,7,3,5,4,6,8,1]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[4,8,2,1,3,5,6,7]=>[5,8,4,3,1,6,7,2]=>[2,7,6,1,3,4,8,5]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[1,7,2,5,4,3,8,6]=>[1,8,3,6,5,4,7,2]=>[2,7,4,5,6,3,8,1]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[2,6,7,3,4,8,1,5]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[4,1,8,7,5,6,2,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,5,8,7,4,3,6,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,4,1,3,8,7,5,2]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[2,1,7,4,6,8,3,5]=>[2,1,8,7,5,6,4,3]=>[3,4,6,5,7,8,1,2]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[1,7,2,4,6,8,3,5]=>[1,8,3,7,5,6,4,2]=>[2,4,6,5,7,3,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[8,6,4,2,7,3,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,4,6,1,2,3,8,5]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[1,8,6,2,7,3,5,4]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,7,8,6,2,3,5,4]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,5,8,1,7,6,2,4]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[7,2,4,8,6,1,5,3]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[4,1,2,5,6,7,8,9,10,3]=>[10,2,3,4,5,6,7,8,9,1]=>[1,9,8,7,6,5,4,3,2,10]=>[.,[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]]
[6,4,3,2,8,1,7,5]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[6,2,4,3,8,1,7,5]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[5,8,4,3,1,6,7,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[10,9,2,8,5,7,4,6,1,3]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,7,2,6,5,9,4,8,1,3]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[6,10,5,9,8,7,2,4,1,3]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,3,5,8,2,4,7,6,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,7,3,6,2,5,4,10,1,9]=>[9,7,6,5,4,3,2,10,1,8]=>[8,1,10,2,3,4,5,6,7,9]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[[.,.],.]]
[3,6,10,9,8,2,5,7,4,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,8,7,3,6,2,5,4,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[4,8,3,7,6,5,2,10,1,9]=>[9,7,6,5,4,3,2,10,1,8]=>[8,1,10,2,3,4,5,6,7,9]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[[.,.],.]]
[4,6,10,3,5,9,8,7,2,1]=>[10,9,8,5,4,7,6,3,2,1]=>[1,2,3,6,7,4,5,8,9,10]=>[.,[.,[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]]]
[10,9,4,8,3,7,6,5,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[5,10,4,9,8,7,6,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[12,11,10,9,2,4,6,8,1,3,5,7]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,11,2,10,7,9,4,6,8,1,3,5]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,9,2,8,7,11,4,6,10,1,3,5]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[8,12,7,11,10,9,2,4,6,1,3,5]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,11,10,9,8,7,2,4,6,1,3,5]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,11,6,10,5,9,2,4,8,1,3,7]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,11,10,9,2,8,5,7,4,6,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[6,8,12,5,7,11,10,9,2,4,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,11,6,10,5,9,8,7,2,4,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[8,7,6,12,5,11,10,9,2,4,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[7,12,6,11,10,9,8,5,2,4,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,11,10,9,8,7,6,5,2,4,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,11,10,9,4,8,3,7,2,6,1,5]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,11,10,9,3,5,8,2,4,7,6,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,11,3,6,10,9,8,2,5,7,4,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[3,12,7,11,10,9,6,8,2,5,4,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,11,10,9,8,7,3,6,2,5,4,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,11,5,10,4,9,3,8,2,7,6,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,11,4,6,10,3,5,9,8,7,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[4,7,12,11,10,3,6,9,8,5,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,11,10,9,4,8,3,7,6,5,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,11,5,10,4,9,8,7,6,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[6,12,5,11,10,9,8,7,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[4,2,8,1,5,7,6,3]=>[8,4,7,2,5,6,3,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[6,3,7,2,5,4,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,4,7,3,2,6,8,1]=>[8,5,6,4,2,3,7,1]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[5,7,2,6,3,4,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,7,5,4,6,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,8,3,2,1,7,4,5]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,8,1,7,5,3,2,6]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[5,4,3,7,2,8,6,1]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[3,6,5,7,2,8,4,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,6,5,3,8,2,1,7]=>[7,6,4,3,8,2,1,5]=>[5,1,2,8,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[2,6,5,8,7,3,1,4]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[6,3,8,4,1,7,2,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,2,8,1,6,4,3,5]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[3,2,8,7,6,4,1,5]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[8,2,6,4,3,5,1,7]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,4,2,8,6,3,7,1]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[2,8,7,5,3,1,4,6]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[2,5,6,3,1,4,8,7]=>[5,6,4,3,1,2,8,7]=>[7,8,2,1,3,4,6,5]=>[[[.,.],[.,[.,[[.,.],.]]]],[.,.]]
[2,4,7,8,5,3,1,6]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[6,5,3,2,4,1,8,7]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[6,5,8,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,1,4,7,8,5,3,6]=>[2,1,7,8,6,5,3,4]=>[4,3,5,6,8,7,1,2]=>[[[.,[.,.]],.],[.,[.,[[.,.],.]]]]
[8,3,1,6,5,7,4,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,5,6,7,3,1,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,5,3,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,3,1,4,6,7,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,5,1,6,4,3,7,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,1,4,3,7,8,2,5]=>[8,2,7,4,5,6,3,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[6,1,2,7,5,8,3,4]=>[8,2,3,7,5,6,4,1]=>[1,4,6,5,7,3,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[2,7,3,1,4,6,8,5]=>[4,8,3,1,5,6,7,2]=>[2,7,6,5,1,3,8,4]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]
[2,8,3,1,6,5,7,4]=>[4,8,3,1,7,6,5,2]=>[2,5,6,7,1,3,8,4]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[3,8,5,6,7,1,2,4]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[6,5,1,2,8,4,7,3]=>[8,6,3,4,7,2,5,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[2,5,8,1,4,6,7,3]=>[4,8,7,1,5,6,3,2]=>[2,3,6,5,1,7,8,4]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[2,1,8,7,5,4,6,3]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[7,8,3,4,1,6,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,3,4,2,6,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,5,2,3,7,1,6]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,7,2,8,6,3,1,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[4,7,5,2,3,8,1,6]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[6,4,7,5,2,8,3,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,5,1,3,6,4,8,2]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[6,5,2,3,7,8,4,1]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[7,2,6,3,1,5,8,4]=>[8,5,6,4,2,3,7,1]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[4,6,3,8,7,5,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,8,4,1,5,7,6,3]=>[4,8,7,1,5,6,3,2]=>[2,3,6,5,1,7,8,4]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[1,8,4,2,5,7,6,3]=>[1,8,7,4,5,6,3,2]=>[2,3,6,5,4,7,8,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[2,8,5,4,1,7,6,3]=>[5,8,7,4,1,6,3,2]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,8,5,2,4,7,6,3]=>[1,8,7,4,5,6,3,2]=>[2,3,6,5,4,7,8,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[1,4,6,2,8,7,5,3]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[7,8,2,4,1,6,5,3]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[2,4,6,1,8,7,5,3]=>[4,8,7,1,6,5,3,2]=>[2,3,5,6,1,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[2,8,4,5,1,7,6,3]=>[5,8,7,4,1,6,3,2]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[3,5,8,2,7,6,1,4]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[2,1,6,8,7,5,3,4]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[1,8,2,4,5,7,6,3]=>[1,8,3,7,5,6,4,2]=>[2,4,6,5,7,3,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,2,8,3,5,7,6,4]=>[1,2,8,4,7,6,5,3]=>[3,5,6,7,4,8,2,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[1,3,8,2,5,7,6,4]=>[1,4,8,2,7,6,5,3]=>[3,5,6,7,2,8,4,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[2,3,8,1,5,7,6,4]=>[4,2,8,1,7,6,5,3]=>[3,5,6,7,1,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[2,6,1,8,7,5,3,4]=>[3,8,1,7,6,5,4,2]=>[2,4,5,6,7,1,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,6,2,8,7,5,3,4]=>[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,6,3,8,7,5,2,4]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,6,3,8,7,5,1,4]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[3,2,8,1,5,7,6,4]=>[4,2,8,1,7,6,5,3]=>[3,5,6,7,1,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[3,1,8,2,5,7,6,4]=>[4,2,8,1,7,6,5,3]=>[3,5,6,7,1,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[2,8,1,4,5,7,6,3]=>[3,8,1,7,5,6,4,2]=>[2,4,6,5,7,1,8,3]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[7,8,2,1,4,6,5,3]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[2,3,6,8,7,5,1,4]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[3,1,6,8,7,2,5,4]=>[6,2,8,7,5,1,4,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[3,8,4,5,1,6,2,7]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[6,1,4,5,7,2,3,8]=>[7,2,6,4,5,3,1,8]=>[8,1,3,5,4,6,2,7]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[8,1,4,7,6,3,2,5]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,3,1,6,4,7,2,5]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,3,8,6,2,7,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,3,6,1,5,7,2,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,4,6,3,1,2,5,7]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[6,8,1,4,5,2,3,7]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[1,5,8,4,6,2,3,7]=>[1,7,8,6,5,4,2,3]=>[3,2,4,5,6,8,7,1]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[2,1,6,5,3,8,4,7]=>[2,1,7,5,4,8,3,6]=>[6,3,8,4,5,7,1,2]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]
[5,7,4,8,1,2,3,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[8,2,1,5,3,7,4,6]=>[8,3,2,7,5,6,4,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[4,7,8,1,2,6,3,5]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[8,7,1,5,6,2,3,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,6,5,8,7,2,3,4]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,7,1,6,2,4,8,5]=>[5,8,3,6,1,4,7,2]=>[2,7,4,1,6,3,8,5]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]
[5,1,2,7,6,8,3,4]=>[8,2,3,7,5,6,4,1]=>[1,4,6,5,7,3,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[6,1,7,2,5,8,3,4]=>[8,2,7,4,5,6,3,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[1,7,6,5,8,2,3,4]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,6,8,5,7,2,3,4]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,1,2,6,8,3,4]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[6,1,5,2,7,8,3,4]=>[8,2,7,4,5,6,3,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[1,6,3,8,7,2,4,5]=>[1,8,6,7,5,3,4,2]=>[2,4,3,5,7,6,8,1]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[1,7,3,2,4,6,8,5]=>[1,8,4,3,5,6,7,2]=>[2,7,6,5,3,4,8,1]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]
[8,3,1,4,2,5,7,6]=>[8,5,3,4,2,6,7,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]
[3,1,2,7,8,4,6,5]=>[3,2,1,8,7,6,5,4]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[5,1,2,6,8,7,3,4]=>[8,2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[1,8,6,2,5,7,3,4]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[5,7,8,1,2,6,3,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,1,5,7,6,2,3,4]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,1,6,8,5,2,3,4]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,7,1,2,8,4,6,5]=>[4,8,3,1,7,6,5,2]=>[2,5,6,7,1,3,8,4]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[8,3,1,2,7,6,4,5]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[1,5,8,7,6,2,3,4]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,8,6,1,5,2,3,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,9,8,4,5,6,7,3,2]=>[1,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,10,9,4,5,6,7,8,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[7,8,6,3,1,5,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,1,3,4,5,2,6]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,7,4,8,2,5,3,6]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,1,8,2,4,6,3,5]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,6,8,4,1,5,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,3,2,8,1,5,4,6]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[3,5,4,1,7,2,6,8]=>[6,4,3,2,7,1,5,8]=>[8,5,1,7,2,3,4,6]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[6,4,7,3,2,5,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,6,5,3,8,4,1,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,4,5,7,8,1,3,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,7,4,1,6,8,5,2]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[3,1,2,7,6,8,5,4]=>[3,2,1,8,7,6,5,4]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[6,3,2,8,4,5,1,7]=>[7,6,3,8,5,2,1,4]=>[4,1,2,5,8,3,6,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[6,1,8,3,5,4,2,7]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[3,8,5,2,4,6,1,7]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[1,5,4,8,6,3,7,2]=>[1,8,6,7,5,3,4,2]=>[2,4,3,5,7,6,8,1]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[4,8,2,5,3,7,1,6]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[3,8,4,5,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,1,8,6,5,3,7,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,7,8,4,6,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,3,2,8,6,4,7,1]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[6,8,1,2,7,4,3,5]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[5,8,7,3,6,2,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,5,2,3,4,8,6,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,3,5,4,2,8,6,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,6,1,3,2,4,7,8]=>[6,5,3,4,2,1,7,8]=>[8,7,1,2,4,3,5,6]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[4,3,7,2,1,8,6,5]=>[5,4,8,2,1,7,6,3]=>[3,6,7,1,2,8,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[4,6,7,2,1,3,5,8]=>[6,7,5,4,3,1,2,8]=>[8,2,1,3,4,5,7,6]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[4,6,2,3,1,5,7,8]=>[5,6,4,3,1,2,7,8]=>[8,7,2,1,3,4,6,5]=>[[[[.,.],[.,[.,[[.,.],.]]]],.],.]
[3,6,4,2,5,1,7,8]=>[6,5,4,3,2,1,7,8]=>[8,7,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[3,1,6,4,7,5,2,8]=>[7,2,6,4,5,3,1,8]=>[8,1,3,5,4,6,2,7]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[3,6,2,7,5,4,1,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[2,4,7,5,3,6,1,8]=>[7,5,6,4,2,3,1,8]=>[8,1,3,2,4,6,5,7]=>[[.,[[.,.],[.,[[.,.],[.,.]]]]],.]
[2,5,7,3,4,1,6,8]=>[6,5,7,4,2,1,3,8]=>[8,3,1,2,4,7,5,6]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[2,3,5,8,6,4,7,1]=>[8,2,6,7,5,3,4,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[2,4,7,3,8,6,5,1]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[3,4,2,7,5,8,6,1]=>[8,3,2,7,5,6,4,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[3,1,5,4,7,8,6,2]=>[8,2,4,3,7,6,5,1]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[4,5,7,2,3,1,8,6]=>[6,5,8,4,2,1,7,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[3,7,8,1,4,6,5,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,5,8,7,4,1,3,6]=>[6,7,8,5,4,1,2,3]=>[3,2,1,4,5,8,7,6]=>[[[.,.],.],[.,[.,[[[.,.],.],.]]]]
[2,6,4,7,5,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,2,4,7,1,3,8,5]=>[8,5,6,4,2,3,7,1]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[7,3,5,1,4,2,8,6]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,4,7,1,3,2,8,6]=>[6,5,8,4,2,1,7,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[6,1,4,7,5,3,8,2]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[8,7,4,3,1,5,6,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,1,4,3,5,6,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,1,8,4,7,3,2,5]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,7,3,6,1,2,8,5]=>[6,8,5,4,3,1,7,2]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[5,2,1,7,4,3,8,6]=>[6,3,2,8,5,1,7,4]=>[4,7,1,5,8,2,3,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[4,7,6,2,3,1,8,5]=>[6,8,5,4,3,1,7,2]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[7,6,8,2,5,3,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,3,6,1,8,7,5,4]=>[4,2,8,1,7,6,5,3]=>[3,5,6,7,1,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[2,6,8,7,5,3,1,4]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[6,4,1,7,5,2,8,3]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[5,7,8,2,3,6,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,7,1,2,5,6,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,8,7,4,1,5,6,3]=>[5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[8,6,2,1,5,7,4,3]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[3,8,6,7,5,2,1,4]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[6,1,3,7,5,8,2,4]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[4,7,3,1,8,5,6,2]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[2,6,7,5,3,4,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[2,6,4,5,7,3,8,1]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[6,1,4,5,8,3,7,2]=>[8,2,6,4,7,3,5,1]=>[1,5,3,7,4,6,2,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[6,1,8,5,3,4,7,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,1,5,6,8,3,7,2]=>[8,2,6,4,7,3,5,1]=>[1,5,3,7,4,6,2,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[6,4,1,8,7,2,5,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,5,7,2,6,8,1,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[1,3,8,5,2,7,4,6]=>[1,5,8,7,2,6,4,3]=>[3,4,6,2,7,8,5,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[1,3,8,6,7,2,4,5]=>[1,6,8,7,5,2,4,3]=>[3,4,2,5,7,8,6,1]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]
[2,8,3,7,6,1,4,5]=>[6,8,3,7,5,1,4,2]=>[2,4,1,5,7,3,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[4,2,7,8,6,1,3,5]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[1,3,8,7,6,2,4,5]=>[1,6,8,7,5,2,4,3]=>[3,4,2,5,7,8,6,1]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]
[7,4,6,8,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,5,3,6,8,2,1,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,2,6,7,8,1,3,4]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[4,5,6,8,1,2,7,3]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[3,5,8,6,1,2,7,4]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[4,2,6,8,7,1,3,5]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[1,4,6,8,7,2,3,5]=>[1,7,8,6,5,4,2,3]=>[3,2,4,5,6,8,7,1]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[4,5,3,8,1,7,2,6]=>[7,5,3,8,2,6,1,4]=>[4,1,6,2,8,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[3,5,8,4,1,7,2,6]=>[7,5,8,4,2,6,1,3]=>[3,1,6,2,4,8,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[1,6,5,7,8,2,3,4]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,4,8,2,3,7,1]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[6,5,4,8,1,3,7,2]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[7,6,4,8,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,2,6,5,8,1,3,4]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[6,3,7,5,2,4,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,1,2,7,4,5,3,6]=>[8,2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[2,5,7,4,6,1,3,8]=>[6,7,5,4,3,1,2,8]=>[8,2,1,3,4,5,7,6]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[6,1,7,4,5,3,8,2]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[8,2,7,3,1,5,4,6]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[2,6,4,8,3,1,7,5]=>[6,8,5,7,3,1,4,2]=>[2,4,1,3,7,5,8,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[8,1,3,7,5,6,4,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,2,5,3,8,6,7,4]=>[1,2,8,4,7,6,5,3]=>[3,5,6,7,4,8,2,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[4,1,6,5,7,8,2,3]=>[8,2,7,4,5,6,3,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[6,1,3,7,4,2,8,5]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[6,7,2,4,1,3,8,5]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,3,8,4,2,6,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,3,4,2,7,1,6]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[1,3,8,2,5,6,7,4]=>[1,4,8,2,7,6,5,3]=>[3,5,6,7,2,8,4,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[1,8,6,7,2,5,4,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,8,3,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,6,7,3,8,5,4,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,4,8,1,6,5,2]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[8,7,2,4,6,1,5,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,6,5,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,6,7,5,2,8,4,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,4,6,7,8,1,3,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,3,6,7,8,1,4,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,3,7,6,8,4,1,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,5,3,2,8,6,4,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,4,8,6,7,2,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,4,8,6,3,1,2,7]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[4,5,7,3,6,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,5,6,3,8,2,7,1]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[5,4,8,7,2,1,3,6]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[2,5,4,7,8,1,3,6]=>[6,7,3,8,5,1,2,4]=>[4,2,1,5,8,3,7,6]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]
[5,3,6,4,8,2,7,1]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[5,3,7,4,6,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,2,6,3,7,4,5,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,2,4,7,3,5,6,1]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[8,2,6,5,7,3,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,5,6,2,7,3,8,1]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[7,4,6,1,5,2,8,3]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,4,6,2,8,3,7,1]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[8,4,6,1,7,2,5,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,2,1,6,3,8,7,4]=>[8,3,2,5,4,7,6,1]=>[1,6,7,4,5,2,3,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[4,5,6,3,7,1,8,2]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[6,3,2,8,5,4,1,7]=>[7,6,3,8,5,2,1,4]=>[4,1,2,5,8,3,6,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[4,3,1,5,2,8,6,7]=>[5,3,2,4,1,8,7,6]=>[6,7,8,1,4,2,3,5]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]
[8,5,4,1,3,2,6,7]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,8,4,1,5,2,6,7]=>[6,8,4,3,5,1,7,2]=>[2,7,1,5,3,4,8,6]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]
[2,5,4,3,8,1,6,7]=>[6,4,3,2,8,1,7,5]=>[5,7,1,8,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[2,5,7,4,3,1,6,8]=>[6,5,7,4,2,1,3,8]=>[8,3,1,2,4,7,5,6]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[5,3,4,2,7,1,6,8]=>[6,4,3,2,7,1,5,8]=>[8,5,1,7,2,3,4,6]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[3,7,5,4,1,2,6,8]=>[6,7,5,4,3,1,2,8]=>[8,2,1,3,4,5,7,6]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[4,2,5,1,3,8,7,6]=>[5,4,3,2,1,8,7,6]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[4,3,5,1,2,7,6,8]=>[5,4,3,2,1,7,6,8]=>[8,6,7,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[5,3,4,1,7,2,6,8]=>[6,4,3,2,7,1,5,8]=>[8,5,1,7,2,3,4,6]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[4,1,6,3,5,2,7,8]=>[6,2,5,4,3,1,7,8]=>[8,7,1,3,4,5,2,6]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[4,2,1,8,6,3,7,5]=>[6,3,2,8,7,1,5,4]=>[4,5,1,7,8,2,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]
[3,1,7,2,5,6,4,8]=>[4,2,7,1,6,5,3,8]=>[8,3,5,6,1,7,2,4]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[3,7,5,4,2,1,6,8]=>[6,7,5,4,3,1,2,8]=>[8,2,1,3,4,5,7,6]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[3,7,2,4,1,6,5,8]=>[5,7,3,4,1,6,2,8]=>[8,2,6,1,4,3,7,5]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[2,8,6,1,7,4,3,5]=>[4,8,7,1,6,5,3,2]=>[2,3,5,6,1,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[2,5,4,6,1,3,7,8]=>[5,6,3,4,1,2,7,8]=>[8,7,2,1,4,3,6,5]=>[[[[.,.],[[.,.],[[.,.],.]]],.],.]
[2,5,6,4,1,3,7,8]=>[5,6,4,3,1,2,7,8]=>[8,7,2,1,3,4,6,5]=>[[[[.,.],[.,[.,[[.,.],.]]]],.],.]
[8,5,2,6,1,3,7,4]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[7,1,2,5,4,6,3,8]=>[7,2,3,6,5,4,1,8]=>[8,1,4,5,6,3,2,7]=>[[.,[[[.,.],.],[.,[.,[.,.]]]]],.]
[2,4,1,6,5,3,7,8]=>[3,6,1,5,4,2,7,8]=>[8,7,2,4,5,1,6,3]=>[[[[.,.],[[.,.],[.,[.,.]]]],.],.]
[4,1,2,7,5,6,3,8]=>[7,2,3,6,5,4,1,8]=>[8,1,4,5,6,3,2,7]=>[[.,[[[.,.],.],[.,[.,[.,.]]]]],.]
[7,1,2,6,5,4,3,8]=>[7,2,3,6,5,4,1,8]=>[8,1,4,5,6,3,2,7]=>[[.,[[[.,.],.],[.,[.,[.,.]]]]],.]
[8,2,1,5,6,3,7,4]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[2,8,5,1,6,4,7,3]=>[4,8,7,1,6,5,3,2]=>[2,3,5,6,1,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[6,1,4,5,3,2,7,8]=>[6,2,5,4,3,1,7,8]=>[8,7,1,3,4,5,2,6]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[3,1,6,5,4,2,7,8]=>[6,2,5,4,3,1,7,8]=>[8,7,1,3,4,5,2,6]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[3,1,4,6,5,2,7,8]=>[6,2,3,5,4,1,7,8]=>[8,7,1,4,5,3,2,6]=>[[[.,[[[.,.],.],[.,[.,.]]]],.],.]
[6,4,1,5,3,2,8,7]=>[6,5,3,4,2,1,8,7]=>[7,8,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]
[2,1,8,6,3,7,5,4]=>[2,1,8,7,5,6,4,3]=>[3,4,6,5,7,8,1,2]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[5,8,3,1,7,6,4,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,6,3,2,8,5,1,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,6,3,8,7,4,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,2,6,8,7,4,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,3,8,5,7,2,6,1]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[6,3,8,5,4,1,2,7]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[6,3,8,4,5,1,2,7]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[5,2,3,1,4,8,6,7]=>[5,4,3,2,1,8,7,6]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[5,4,1,3,2,8,6,7]=>[5,4,3,2,1,8,7,6]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[5,1,3,4,2,8,6,7]=>[5,2,4,3,1,8,7,6]=>[6,7,8,1,3,4,2,5]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]
[5,2,1,4,3,8,6,7]=>[5,3,2,4,1,8,7,6]=>[6,7,8,1,4,2,3,5]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]
[4,2,7,3,8,5,1,6]=>[7,4,8,2,6,5,1,3]=>[3,1,5,6,2,8,4,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[4,7,3,2,8,5,1,6]=>[7,8,4,3,6,5,1,2]=>[2,1,5,6,3,4,8,7]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]
[4,3,7,2,8,5,6,1]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[5,3,1,2,4,8,6,7]=>[5,4,3,2,1,8,7,6]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[5,4,3,1,2,8,6,7]=>[5,4,3,2,1,8,7,6]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[5,3,4,1,2,8,6,7]=>[5,4,3,2,1,8,7,6]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[5,2,3,4,1,8,6,7]=>[5,4,3,2,1,8,7,6]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[5,1,7,3,4,6,8,2]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[5,8,7,4,3,1,6,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,1,3,4,5,7,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,5,2,8,1,6,7,4]=>[5,8,3,7,1,6,4,2]=>[2,4,6,1,7,3,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[3,1,7,8,2,5,4,6]=>[5,2,8,7,1,6,4,3]=>[3,4,6,1,7,8,2,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[6,2,3,7,4,1,8,5]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[6,3,7,4,1,2,5,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,2,6,8,4,3,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,7,2,8,6,5,1,4]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[3,6,7,5,1,2,4,8]=>[6,7,5,4,3,1,2,8]=>[8,2,1,3,4,5,7,6]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[7,4,5,1,8,2,3,6]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,2,3,1,8,4,5,6]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[2,1,4,8,3,7,5,6]=>[2,1,5,8,3,7,6,4]=>[4,6,7,3,8,5,1,2]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]
[4,8,1,6,7,3,2,5]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[1,2,7,8,4,3,6,5]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[5,8,1,4,3,2,7,6]=>[6,8,3,5,4,1,7,2]=>[2,7,1,4,5,3,8,6]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[4,8,1,3,5,6,2,7]=>[7,8,3,4,5,6,1,2]=>[2,1,6,5,4,3,8,7]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]
[5,3,7,8,4,2,6,1]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[6,3,7,8,2,4,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,2,4,3,1,7,6]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,5,4,2,3,1,8,6]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,5,6,4,8,1,7,2]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[3,5,4,6,7,1,8,2]=>[8,6,3,4,5,2,7,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[1,3,2,6,4,8,7,5]=>[1,3,2,8,5,7,6,4]=>[4,6,7,5,8,2,3,1]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[1,4,2,5,3,8,7,6]=>[1,5,3,4,2,8,7,6]=>[6,7,8,2,4,3,5,1]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]
[1,7,3,5,4,8,6,2]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,8,2,6,3,7,5,4]=>[1,8,3,7,5,6,4,2]=>[2,4,6,5,7,3,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,8,3,6,4,7,5,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,7,2,6,4,8,5,3]=>[1,8,3,7,5,6,4,2]=>[2,4,6,5,7,3,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,7,2,6,3,8,5,4]=>[1,8,3,7,5,6,4,2]=>[2,4,6,5,7,3,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,5,2,7,4,8,6,3]=>[1,8,3,7,5,6,4,2]=>[2,4,6,5,7,3,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,4,2,8,5,7,6,3]=>[1,8,3,7,5,6,4,2]=>[2,4,6,5,7,3,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[4,8,1,3,2,6,5,7]=>[5,8,3,4,1,7,6,2]=>[2,6,7,1,4,3,8,5]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[1,5,3,8,4,7,6,2]=>[1,8,5,7,3,6,4,2]=>[2,4,6,3,7,5,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,8,4,7,3,6,5,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,6,3,8,1,5,4,7]=>[5,7,3,8,1,6,2,4]=>[4,2,6,1,8,3,7,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[4,8,7,3,5,2,1,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[6,8,7,3,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,3,5,1,2,6,4,7]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[8,6,3,1,5,4,2,7]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,6,4,1,5,3,2,7]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,6,5,4,1,3,2,7]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,3,8,7,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,3,8,7,4,6,1,5]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[8,3,5,7,4,1,2,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,5,3,1,2,7,6]=>[6,8,5,4,3,1,7,2]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[6,8,7,3,1,5,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,5,4,1,3,7,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,5,8,7,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,7,6,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,8,7,5,1,6,2,4]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[2,3,8,7,5,6,1,4]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[2,8,7,1,3,6,4,5]=>[4,8,7,1,5,6,3,2]=>[2,3,6,5,1,7,8,4]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[8,5,4,7,2,1,3,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,7,3,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,5,8,6,4,2,7,1]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[6,8,4,1,5,2,7,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,8,2,1,7,5,3,4]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[5,8,4,6,1,2,7,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,4,8,6,5,1,7,3]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[4,8,7,6,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,7,5,1,6,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,5,2,1,8,6,7,3]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[4,5,8,3,1,6,7,2]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[5,7,2,8,4,6,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,3,2,4,8,5,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,2,8,6,4,5,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,2,6,5,1,3,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,2,7,8,4,1,3,6]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[2,7,8,6,4,1,3,5]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[7,6,3,5,2,8,4,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,2,7,4,8,5,3,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,6,5,1,7,2,4,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,8,5,1,7,3,2,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,6,8,3,7,4,2,5]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,1,6,3,4,8,2,7]=>[7,2,5,4,3,8,1,6]=>[6,1,8,3,4,5,2,7]=>[[.,[[.,.],[.,[.,.]]]],[[.,.],.]]
[3,5,2,6,4,8,1,7]=>[7,5,3,4,2,8,1,6]=>[6,1,8,2,4,3,5,7]=>[[.,[.,[[.,.],[.,.]]]],[[.,.],.]]
[3,5,2,4,8,1,7,6]=>[6,4,3,2,8,1,7,5]=>[5,7,1,8,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[6,3,8,2,4,1,7,5]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[4,6,3,8,7,5,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,3,8,7,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,4,2,1,7,5,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,2,6,4,3,8,1,7]=>[7,5,4,3,2,8,1,6]=>[6,1,8,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[6,5,3,1,4,8,2,7]=>[7,5,4,3,2,8,1,6]=>[6,1,8,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[3,1,7,8,6,4,2,5]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[3,8,1,7,6,2,5,4]=>[6,8,3,7,5,1,4,2]=>[2,4,1,5,7,3,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[8,1,7,6,4,2,5,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,2,6,3,8,5,4,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,3,8,6,4,1,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,7,5,8,2,4,3,6]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,1,5,2,4,8,3,7]=>[7,2,5,4,3,8,1,6]=>[6,1,8,3,4,5,2,7]=>[[.,[[.,.],[.,[.,.]]]],[[.,.],.]]
[1,5,6,3,8,2,4,7]=>[1,7,6,4,8,3,2,5]=>[5,2,3,8,4,6,7,1]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]
[8,7,1,3,6,5,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,6,7,4,3,8,5,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,2,4,7,3,8,6,1]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[1,5,8,7,2,4,6,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,4,8,7,3,6,5,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,3,7,2,5,1,6,4]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[3,7,2,8,1,5,4,6]=>[5,8,3,7,1,6,4,2]=>[2,4,6,1,7,3,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[7,2,1,5,8,4,3,6]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[7,2,8,1,4,3,6,5]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[1,7,8,3,2,6,5,4]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,7,4,8,3,2,6,5]=>[1,8,6,7,5,3,4,2]=>[2,4,3,5,7,6,8,1]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[1,7,5,4,8,3,2,6]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,1,5,4,3,8,2,7]=>[7,2,5,4,3,8,1,6]=>[6,1,8,3,4,5,2,7]=>[[.,[[.,.],[.,[.,.]]]],[[.,.],.]]
[1,7,4,5,6,8,2,3]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,6,4,2,3,5,7,8]=>[1,6,5,4,3,2,7,8]=>[8,7,2,3,4,5,6,1]=>[[[[.,.],[.,[.,[.,[.,.]]]]],.],.]
[1,8,7,2,3,4,5,6]=>[1,8,7,4,5,6,3,2]=>[2,3,6,5,4,7,8,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[1,5,8,6,2,3,4,7]=>[1,7,8,6,5,4,2,3]=>[3,2,4,5,6,8,7,1]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[1,6,5,7,2,3,4,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[1,7,5,6,2,3,4,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[1,3,2,7,6,4,5,8]=>[1,3,2,7,6,5,4,8]=>[8,4,5,6,7,2,3,1]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]
[1,2,3,7,6,4,5,8]=>[1,2,3,7,6,5,4,8]=>[8,4,5,6,7,3,2,1]=>[[[[[.,.],.],.],[.,[.,[.,.]]]],.]
[1,5,4,2,3,7,6,8]=>[1,5,4,3,2,7,6,8]=>[8,6,7,2,3,4,5,1]=>[[[[.,.],[.,[.,[.,.]]]],[.,.]],.]
[1,5,4,2,3,8,6,7]=>[1,5,4,3,2,8,7,6]=>[6,7,8,2,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]
[1,3,2,8,6,4,5,7]=>[1,3,2,8,7,6,5,4]=>[4,5,6,7,8,2,3,1]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]
[1,7,5,8,2,3,4,6]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,7,5,2,3,4,6]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,1,5,8,6,3,7,4]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,5,3,8,6,1,7,4]=>[6,8,3,7,5,1,4,2]=>[2,4,1,5,7,3,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[2,6,3,5,8,1,7,4]=>[6,8,3,4,7,1,5,2]=>[2,5,1,7,4,3,8,6]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[6,3,2,5,8,1,7,4]=>[8,6,3,4,7,2,5,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[5,3,2,8,6,1,7,4]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[5,8,4,6,1,3,7,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,3,8,6,1,4,7,2]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[2,6,5,4,8,1,7,3]=>[6,8,4,3,7,1,5,2]=>[2,5,1,7,3,4,8,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[8,3,5,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,4,6,8,5,3,7,1]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[2,4,8,1,7,6,5,3]=>[4,8,7,1,6,5,3,2]=>[2,3,5,6,1,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[4,3,8,1,5,7,6,2]=>[8,4,7,2,5,6,3,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[3,8,4,1,5,7,6,2]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[4,3,6,8,5,2,7,1]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[8,5,4,7,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,6,8,5,4,2,7,1]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[3,6,4,8,5,2,7,1]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[3,6,4,1,8,2,7,5]=>[6,8,4,3,7,1,5,2]=>[2,5,1,7,3,4,8,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[3,6,4,1,5,2,8,7]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[4,8,6,5,1,3,7,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,8,3,5,6,7,1,4]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[5,6,2,4,7,1,8,3]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[2,7,5,4,6,1,8,3]=>[6,8,5,4,3,1,7,2]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[2,3,7,4,6,1,8,5]=>[6,2,8,4,5,1,7,3]=>[3,7,1,5,4,8,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[2,6,7,4,1,3,8,5]=>[5,8,6,4,1,3,7,2]=>[2,7,3,1,4,6,8,5]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]
[6,5,7,4,1,3,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[2,4,6,3,5,7,8,1]=>[8,4,5,2,3,6,7,1]=>[1,7,6,3,2,5,4,8]=>[.,[[[[.,.],[[.,.],.]],.],[.,.]]]
[4,1,6,3,5,7,8,2]=>[8,2,5,4,3,6,7,1]=>[1,7,6,3,4,5,2,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[3,6,4,2,5,7,8,1]=>[8,5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[2,3,6,1,5,7,8,4]=>[4,2,8,1,5,6,7,3]=>[3,7,6,5,1,8,2,4]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]
[4,3,6,2,5,7,8,1]=>[8,4,5,2,3,6,7,1]=>[1,7,6,3,2,5,4,8]=>[.,[[[[.,.],[[.,.],.]],.],[.,.]]]
[4,6,1,2,5,7,8,3]=>[8,5,3,4,2,6,7,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]
[2,6,4,1,5,7,8,3]=>[4,8,5,1,3,6,7,2]=>[2,7,6,3,1,5,8,4]=>[[.,.],[[[.,[[.,.],.]],.],[.,.]]]
[2,4,1,6,5,7,8,3]=>[3,8,1,5,4,6,7,2]=>[2,7,6,4,5,1,8,3]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]
[7,5,4,2,6,1,8,3]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,7,3,1,8,6,5,2]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[5,6,4,2,7,1,8,3]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[4,2,7,5,3,1,8,6]=>[6,5,8,4,2,1,7,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[5,3,6,4,8,2,1,7]=>[7,6,4,3,8,2,1,5]=>[5,1,2,8,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[7,3,2,5,4,1,8,6]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[7,3,2,5,1,8,6,4]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[4,6,3,8,7,2,1,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[4,7,6,3,8,2,1,5]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[4,7,3,8,6,2,1,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[5,7,3,2,6,1,8,4]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,7,3,2,6,4,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[2,7,5,3,1,8,6,4]=>[5,8,7,4,1,6,3,2]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[7,5,2,8,4,3,1,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,3,2,7,5,1,6]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[4,3,7,5,2,6,1,8]=>[7,5,6,4,2,3,1,8]=>[8,1,3,2,4,6,5,7]=>[[.,[[.,.],[.,[[.,.],[.,.]]]]],.]
[8,4,5,3,7,2,1,6]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,2,3,4,5,9,7,8,6]=>[1,2,3,4,5,9,8,7,6]=>[6,7,8,9,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],[.,[.,[.,.]]]]
[1,2,3,4,9,6,7,8,5]=>[1,2,3,4,9,8,7,6,5]=>[5,6,7,8,9,4,3,2,1]=>[[[[[.,.],.],.],.],[.,[.,[.,[.,.]]]]]
[1,2,3,4,5,6,10,8,9,7]=>[1,2,3,4,5,6,10,9,8,7]=>[7,8,9,10,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],[.,[.,[.,.]]]]
[1,2,3,4,9,7,6,8,5]=>[1,2,3,4,9,8,7,6,5]=>[5,6,7,8,9,4,3,2,1]=>[[[[[.,.],.],.],.],[.,[.,[.,[.,.]]]]]
[1,2,3,4,5,10,7,8,9,6]=>[1,2,3,4,5,10,9,8,7,6]=>[6,7,8,9,10,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],[.,[.,[.,[.,.]]]]]
[1,2,8,6,4,5,7,3]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,8,5,3,4,6,7,2]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[7,8,4,1,6,3,5,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,7,5,6,1,3,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,2,6,4,1,8,5,7]=>[5,2,7,4,1,8,3,6]=>[6,3,8,1,4,7,2,5]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]
[2,8,6,5,3,1,4,7]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[5,4,8,6,2,3,1,7]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[4,8,7,5,2,3,1,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[5,2,4,7,6,8,3,1]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[3,4,2,8,7,5,1,6]=>[7,3,2,8,6,5,1,4]=>[4,1,5,6,8,2,3,7]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]
[8,5,7,6,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,4,1,8,7,3,2,5]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,8,5,4,2,7,3,6]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[3,7,6,1,5,8,4,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,6,5,8,2,7,4,1]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[8,3,2,7,4,6,5,1]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,5,8,4,1,3,6,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,1,6,2,3,8,4,5]=>[8,2,7,4,5,6,3,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[6,4,7,1,3,2,8,5]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,1,3,8,7,2,6,4]=>[8,2,6,7,5,3,4,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[8,7,1,6,2,5,3,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,8,5,2,4,7,6,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,1,5,2,4,8,3,6]=>[8,2,7,4,5,6,3,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[3,8,5,1,4,7,2,6]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[7,2,5,4,1,3,8,6]=>[8,5,6,4,2,3,7,1]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[7,5,8,1,6,3,2,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,1,4,8,5,6,2,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,4,6,1,3,2,5,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,4,5,7,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,5,2,6,7,3,1,8]=>[7,6,3,4,5,2,1,8]=>[8,1,2,5,4,3,6,7]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[8,1,7,5,3,6,2,4]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,2,6,3,1,7,8,4]=>[8,5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[5,7,6,1,2,3,8,4]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,6,7,5,1,2,8,4]=>[6,8,5,4,3,1,7,2]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[1,7,6,8,5,2,4,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,6,8,1,2,4,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,6,3,7,1,4,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,8,6,4,5,7,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[9,8,7,5,6,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[2,1,9,8,6,7,5,4,3]=>[2,1,9,8,7,6,5,4,3]=>[3,4,5,6,7,8,9,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]]
[11,10,9,8,7,6,5,4,3,2,1]=>[11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]
[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,8,7,5,4,6,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,8,7,4,6,5,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[2,1,9,8,6,5,7,4,3]=>[2,1,9,8,7,6,5,4,3]=>[3,4,5,6,7,8,9,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,1,9,8,5,7,6,4,3]=>[2,1,9,8,7,6,5,4,3]=>[3,4,5,6,7,8,9,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,1,10,9,8,6,7,5,4,3]=>[2,1,10,9,8,7,6,5,4,3]=>[3,4,5,6,7,8,9,10,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,1,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[3,4,5,6,7,8,9,10,11,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[1,8,7,6,5,4,3,2,9]=>[1,8,7,6,5,4,3,2,9]=>[9,2,3,4,5,6,7,8,1]=>[[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,9,8,7,6,5,4,3,2,10]=>[1,9,8,7,6,5,4,3,2,10]=>[10,2,3,4,5,6,7,8,9,1]=>[[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[2,1,8,7,6,5,4,3,9]=>[2,1,8,7,6,5,4,3,9]=>[9,3,4,5,6,7,8,1,2]=>[[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]],.]
[2,8,9,7,6,5,4,3,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[7,8,6,1,4,5,2,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,8,5,4,6,7,2,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,5,8,3,7,2,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,5,3,6,2,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,5,3,6,2,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,4,3,2,6,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,4,3,8,2,1,7,6]=>[6,5,3,8,2,1,7,4]=>[4,7,1,2,8,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[6,4,8,3,2,1,7,5]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[6,5,8,3,1,2,7,4]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[1,8,6,7,3,2,4,5]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,8,6,1,3,2,4,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,4,3,8,2,1,6,7]=>[6,5,3,8,2,1,7,4]=>[4,7,1,2,8,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[1,8,4,3,2,5,7,6]=>[1,8,5,4,3,6,7,2]=>[2,7,6,3,4,5,8,1]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[5,4,3,8,2,6,7,1]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[6,4,2,3,5,1,8,7]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[5,2,3,6,1,4,8,7]=>[6,5,3,4,2,1,8,7]=>[7,8,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]
[5,2,3,8,6,4,7,1]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[5,2,3,7,4,8,1,6]=>[7,5,3,8,2,6,1,4]=>[4,1,6,2,8,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[8,6,3,2,5,4,7,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,2,3,4,5,8,1,6]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[7,2,8,1,5,3,4,6]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[3,8,6,4,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,1,8,6,4,5,7,3]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[4,8,2,5,7,3,1,6]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[5,8,2,3,4,7,1,6]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[6,3,4,7,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,8,5,1,4,7,6,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,8,5,1,3,6,7,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,6,8,5,2,7,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,7,8,5,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,8,6,2,7,4,5,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,5,4,7,1,3,6,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,3,6,2,8,1,5,4]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[8,1,5,2,3,7,6,4]=>[8,2,7,4,5,6,3,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[6,4,2,3,7,8,5,1]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[8,4,2,3,6,7,1,5]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[3,7,2,8,4,5,1,6]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[3,5,1,8,4,6,2,7]=>[7,5,3,8,2,6,1,4]=>[4,1,6,2,8,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[4,1,2,6,5,8,3,7]=>[7,2,3,5,4,8,1,6]=>[6,1,8,4,5,3,2,7]=>[[.,[[[.,.],.],[.,.]]],[[.,.],.]]
[4,1,8,3,2,6,7,5]=>[5,2,8,4,1,7,6,3]=>[3,6,7,1,4,8,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[4,6,2,7,8,3,1,5]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[4,6,1,3,8,2,5,7]=>[6,7,3,4,8,1,2,5]=>[5,2,1,8,4,3,7,6]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]
[4,3,6,2,1,8,7,5]=>[5,4,8,2,1,7,6,3]=>[3,6,7,1,2,8,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[3,7,4,5,1,6,2,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[3,6,4,5,8,2,1,7]=>[7,6,4,3,8,2,1,5]=>[5,1,2,8,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[7,2,4,5,1,6,3,8]=>[7,5,6,4,2,3,1,8]=>[8,1,3,2,4,6,5,7]=>[[.,[[.,.],[.,[[.,.],[.,.]]]]],.]
[7,5,4,1,6,3,2,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,5,4,8,6,3,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,8,7,5,3,6,4,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,3,7,4,1,6,2,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,4,1,6,3,2,7]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,7,4,2,6,5,3,8]=>[1,7,6,4,5,3,2,8]=>[8,2,3,5,4,6,7,1]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[8,2,1,5,6,7,3,4]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[6,3,1,8,4,7,2,5]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,1,4,8,6,3,2,5]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,1,8,5,6,7,2,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,7,4,8,6,2,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,3,6,8,2,7,1,4]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[6,3,7,4,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,3,6,1,4,7,2,8]=>[7,5,4,3,2,6,1,8]=>[8,1,6,2,3,4,5,7]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[4,3,6,8,2,7,1,5]=>[7,5,8,6,2,4,1,3]=>[3,1,4,2,6,8,5,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[5,3,8,4,1,6,2,7]=>[7,5,8,4,2,6,1,3]=>[3,1,6,2,4,8,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[5,3,8,1,4,7,2,6]=>[7,5,8,4,2,6,1,3]=>[3,1,6,2,4,8,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[5,8,4,1,6,3,2,7]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[7,3,8,4,1,6,2,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,5,8,3,6,7,4,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,2,5,6,7,3,4]=>[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[7,8,4,1,6,5,2,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,3,8,1,5,7,2,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,3,1,2,5,7,4,6]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[8,1,4,2,6,5,3,7]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[5,1,3,7,4,8,2,6]=>[7,2,5,8,3,6,1,4]=>[4,1,6,3,8,5,2,7]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[5,1,3,4,7,8,2,6]=>[7,2,4,3,8,6,1,5]=>[5,1,6,8,3,4,2,7]=>[[.,[[.,.],[.,.]]],[.,[[.,.],.]]]
[2,5,8,7,4,3,6,1]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[5,1,7,8,3,4,2,6]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[2,5,4,8,3,7,6,1]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[5,6,8,2,3,4,1,7]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[3,7,4,5,8,1,2,6]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[3,7,8,1,4,5,2,6]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[5,8,2,1,6,3,4,7]=>[7,8,4,3,6,5,1,2]=>[2,1,5,6,3,4,8,7]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]
[4,8,1,3,7,5,2,6]=>[7,8,3,4,6,5,1,2]=>[2,1,5,6,4,3,8,7]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]
[2,4,7,8,5,3,6,1]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[5,3,1,4,7,2,8,6]=>[6,4,3,2,8,1,7,5]=>[5,7,1,8,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[4,3,8,5,1,2,7,6]=>[6,5,8,4,2,1,7,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[2,4,7,5,8,3,6,1]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[4,3,5,8,2,1,7,6]=>[6,5,3,8,2,1,7,4]=>[4,7,1,2,8,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[4,8,5,3,7,1,2,6]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[4,8,5,7,3,1,2,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[4,8,7,5,1,3,2,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[4,2,8,5,1,3,6,7]=>[6,5,8,4,2,1,7,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[3,7,8,4,1,5,2,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[1,8,5,7,2,4,3,6]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,6,3,8,2,7,4,5]=>[1,8,5,7,3,6,4,2]=>[2,4,6,3,7,5,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,4,2,7,5,8,3,6]=>[1,7,3,8,5,6,2,4]=>[4,2,6,5,8,3,7,1]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[1,8,2,3,6,7,5,4]=>[1,8,3,4,7,6,5,2]=>[2,5,6,7,4,3,8,1]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[1,3,6,8,2,7,5,4]=>[1,5,8,7,2,6,4,3]=>[3,4,6,2,7,8,5,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[1,8,3,4,5,6,2,7]=>[1,8,7,4,5,6,3,2]=>[2,3,6,5,4,7,8,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[1,8,3,6,2,4,5,7]=>[1,8,5,7,3,6,4,2]=>[2,4,6,3,7,5,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,4,5,8,3,6,2,7]=>[1,7,5,8,3,6,2,4]=>[4,2,6,3,8,5,7,1]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[1,2,7,8,4,5,3,6]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[7,2,8,4,3,6,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,2,8,5,6,3,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,3,8,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,2,8,7,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,2,8,4,3,7,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,2,8,4,3,1,7,6]=>[6,5,8,4,2,1,7,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[1,4,7,3,2,6,8,5]=>[1,5,8,4,2,6,7,3]=>[3,7,6,2,4,8,5,1]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]
[3,6,2,7,1,5,4,8]=>[5,7,3,6,1,4,2,8]=>[8,2,4,1,6,3,7,5]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[1,2,5,4,8,3,7,6]=>[1,2,6,4,8,3,7,5]=>[5,7,3,8,4,6,2,1]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]
[1,4,3,5,8,2,7,6]=>[1,6,3,4,8,2,7,5]=>[5,7,2,8,4,3,6,1]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]
[1,5,3,7,6,8,2,4]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,6,4,5,7,8,2,3]=>[1,8,7,4,5,6,3,2]=>[2,3,6,5,4,7,8,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[4,2,6,5,7,8,1,3]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[3,2,5,7,6,8,1,4]=>[7,2,8,5,4,6,1,3]=>[3,1,6,4,5,8,2,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[5,3,2,6,8,4,7,1]=>[8,6,3,4,7,2,5,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[3,1,8,6,4,7,2,5]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[3,1,6,8,5,4,2,7]=>[7,2,6,8,5,3,1,4]=>[4,1,3,5,8,6,2,7]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]
[5,3,2,8,7,6,4,1]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,3,8,2,7,6,1,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,5,4,8,3,7,2,1]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[4,8,5,1,3,7,2,6]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[4,3,8,7,2,6,5,1]=>[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[2,7,5,1,8,4,6,3]=>[4,8,7,1,6,5,3,2]=>[2,3,5,6,1,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[7,8,5,2,1,6,4,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,4,8,1,2,5,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,5,4,8,3,2,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,4,7,3,2,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,8,5,6,2,7,1,4]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[2,4,5,8,7,3,1,6]=>[7,6,3,8,5,2,1,4]=>[4,1,2,5,8,3,6,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[2,4,5,8,6,7,1,3]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[4,3,1,5,6,2,8,7]=>[6,3,2,4,5,1,8,7]=>[7,8,1,5,4,2,3,6]=>[[.,[[[.,[.,.]],.],[.,.]]],[.,.]]
[4,1,5,8,6,7,2,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,3,7,6,1,2,8,5]=>[6,5,8,4,2,1,7,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[4,7,5,6,1,2,8,3]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,3,7,5,6,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,5,1,8,6,7,3,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,4,5,8,6,7,2,1]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,1,5,8,6,7,4,3]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[3,4,5,8,7,1,2,6]=>[7,6,3,8,5,2,1,4]=>[4,1,2,5,8,3,6,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[4,7,1,5,6,2,8,3]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[2,6,4,7,1,3,8,5]=>[5,8,6,4,1,3,7,2]=>[2,7,3,1,4,6,8,5]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]
[5,3,8,6,4,7,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,4,1,5,7,8,3,2]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[3,6,4,7,2,1,8,5]=>[6,8,5,4,3,1,7,2]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[3,8,4,6,1,7,2,5]=>[7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[3,8,5,6,4,7,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,8,4,5,6,7,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,8,6,5,2,7,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,8,7,5,2,1,4,6]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[3,8,6,5,1,7,2,4]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[6,4,1,7,3,2,8,5]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[5,1,4,6,7,2,8,3]=>[8,2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[6,5,4,7,1,3,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,1,4,7,2,3,8,5]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[2,1,3,4,5,6,7,9,8]=>[2,1,3,4,5,6,7,9,8]=>[8,9,7,6,5,4,3,1,2]=>[[[[[[[.,[.,.]],.],.],.],.],.],[.,.]]
[1,3,2,4,5,6,7,9,8]=>[1,3,2,4,5,6,7,9,8]=>[8,9,7,6,5,4,2,3,1]=>[[[[[[[.,.],[.,.]],.],.],.],.],[.,.]]
[2,1,3,4,5,6,7,8,10,9]=>[2,1,3,4,5,6,7,8,10,9]=>[9,10,8,7,6,5,4,3,1,2]=>[[[[[[[[.,[.,.]],.],.],.],.],.],.],[.,.]]
[1,6,2,5,4,8,3,7]=>[1,7,3,5,4,8,2,6]=>[6,2,8,4,5,3,7,1]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]
[4,1,2,7,5,8,3,6]=>[7,2,3,8,5,6,1,4]=>[4,1,6,5,8,3,2,7]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[6,1,3,5,8,2,4,7]=>[7,2,6,4,8,3,1,5]=>[5,1,3,8,4,6,2,7]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]
[5,6,4,3,1,8,2,7]=>[7,5,4,3,2,8,1,6]=>[6,1,8,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[6,7,2,3,8,4,5,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,7,2,1,3,8,4,5]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[5,7,4,1,8,3,2,6]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[4,1,7,5,8,3,6,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,7,1,3,8,4,5,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,6,7,4,3,8,5,2]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[6,1,7,4,2,8,5,3]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[2,1,6,7,4,3,8,5]=>[2,1,8,6,5,4,7,3]=>[3,7,4,5,6,8,1,2]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[6,7,3,2,1,8,4,5]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,5,7,3,1,4,8,6]=>[5,6,8,4,1,2,7,3]=>[3,7,2,1,4,8,6,5]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]
[6,7,3,2,8,4,5,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,7,1,8,4,6,3,5]=>[3,8,1,7,6,5,4,2]=>[2,4,5,6,7,1,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[2,7,5,8,1,6,3,4]=>[5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[6,7,1,8,4,5,3,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,3,7,6,1,2,5,4]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[8,7,3,4,6,2,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,2,5,7,1,4,6,3]=>[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[8,2,4,7,1,5,6,3]=>[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[8,2,3,4,7,1,5,6]=>[8,6,3,4,7,2,5,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[8,7,3,5,6,2,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,4,6,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,6,7,5,1,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,6,7,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,3,5,7,6,1,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,3,6,2,1,5,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,3,4,6,2,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,4,6,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,5,2,7,4,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,3,7,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,6,7,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,7,6,4,1,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,2,7,5,1,6,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,3,4,2,7,5,6,1]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[8,4,7,6,5,1,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,3,5,2,7,4,6,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,5,2,6,7,4,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,3,7,6,4,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,2,5,7,3,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,2,4,7,3,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,2,3,7,4,1,6]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,5,3,2,7,6,4,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,6,1,5,4,3,2,7]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,4,5,8,3,1,6,7]=>[6,5,3,8,2,1,7,4]=>[4,7,1,2,8,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[2,7,4,6,1,5,8,3]=>[5,8,6,4,1,3,7,2]=>[2,7,3,1,4,6,8,5]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]
[2,4,3,8,5,1,6,7]=>[6,3,2,8,5,1,7,4]=>[4,7,1,5,8,2,3,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[7,8,3,2,5,4,6,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,5,6,7,3,8,2,4]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,6,5,4,8,3,2,7]=>[1,7,6,4,8,3,2,5]=>[5,2,3,8,4,6,7,1]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]
[1,7,3,5,8,4,6,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,2,1,6,4,8,5,3]=>[8,3,2,7,5,6,4,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[7,5,8,3,2,4,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,8,7,2,4,6,5,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,3,7,6,4,8,5,2]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[3,1,8,7,6,4,2,5]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[3,1,8,7,5,4,2,6]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[4,7,1,6,5,3,2,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[4,8,1,6,5,3,2,7]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[8,4,1,7,6,3,2,5]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,4,1,8,6,3,2,7]=>[7,6,3,8,5,2,1,4]=>[4,1,2,5,8,3,6,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[5,4,1,7,6,3,2,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[6,4,1,8,5,3,2,7]=>[7,6,3,8,5,2,1,4]=>[4,1,2,5,8,3,6,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[8,4,1,7,5,3,2,6]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,4,1,6,5,3,2,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[7,5,6,1,4,3,2,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,5,6,1,4,3,2,7]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,5,7,1,4,3,2,6]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,7,6,1,4,3,2,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,8,6,1,4,3,2,7]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[6,7,5,1,4,3,2,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,7,5,1,4,3,2,6]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,6,5,1,4,3,2,7]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,6,1,7,2,5,3,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,8,6,3,4,2,5,7]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,1,6,4,5,2,7,8]=>[6,2,5,4,3,1,7,8]=>[8,7,1,3,4,5,2,6]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[3,1,6,4,5,8,2,7]=>[7,2,5,4,3,8,1,6]=>[6,1,8,3,4,5,2,7]=>[[.,[[.,.],[.,[.,.]]]],[[.,.],.]]
[3,1,6,4,5,7,2,8]=>[7,2,5,4,3,6,1,8]=>[8,1,6,3,4,5,2,7]=>[[.,[[[.,.],[.,[.,.]]],[.,.]]],.]
[4,6,8,7,2,5,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,3,8,4,5,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,2,7,6,1,4,3,5]=>[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[5,2,7,8,1,4,3,6]=>[7,5,8,6,2,4,1,3]=>[3,1,4,2,6,8,5,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[5,6,3,8,4,1,2,7]=>[7,6,5,8,3,2,1,4]=>[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[8,2,7,6,1,4,5,3]=>[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[5,2,3,4,7,1,6,8]=>[6,4,3,2,7,1,5,8]=>[8,5,1,7,2,3,4,6]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[5,2,3,7,1,6,8,4]=>[8,5,3,6,2,4,7,1]=>[1,7,4,2,6,3,5,8]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[8,7,5,3,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,4,7,8,5,2,3,6]=>[1,7,8,6,5,4,2,3]=>[3,2,4,5,6,8,7,1]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[3,2,6,7,4,1,5,8]=>[6,2,7,5,4,1,3,8]=>[8,3,1,4,5,7,2,6]=>[[[.,[.,.]],[.,[.,[[.,.],.]]]],.]
[5,8,3,7,6,4,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,5,1,7,2,4,8,3]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[3,6,7,1,4,2,5,8]=>[6,7,5,4,3,1,2,8]=>[8,2,1,3,4,5,7,6]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[4,7,5,8,2,1,3,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[8,1,2,7,5,4,3,6]=>[8,2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[6,5,1,8,3,7,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,8,7,5,3,2,6,4]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,8,1,5,4,2,3,6]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,7,5,1,4,6,3,8]=>[4,7,6,1,5,3,2,8]=>[8,2,3,5,1,6,7,4]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[3,4,6,8,1,5,7,2]=>[8,5,6,7,2,3,4,1]=>[1,4,3,2,7,6,5,8]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]
[5,7,6,1,4,3,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,8,1,7,5,4,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,6,3,1,2,8,5,4]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,3,5,7,1,4,2,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,2,6,7,4,8,1,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[1,7,5,2,6,4,8,3]=>[1,8,6,4,5,3,7,2]=>[2,7,3,5,4,6,8,1]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[7,1,3,6,8,2,4,5]=>[8,2,6,7,5,3,4,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[1,2,5,7,8,4,6,3]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[3,1,2,7,5,4,8,6]=>[3,2,1,8,6,5,7,4]=>[4,7,5,6,8,1,2,3]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[6,7,4,1,3,2,8,5]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[1,7,2,8,4,3,5,6]=>[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,6,3,5,7,8,2,4]=>[1,8,7,4,5,6,3,2]=>[2,3,6,5,4,7,8,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[8,6,1,7,5,2,4,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,6,4,1,8,3,2,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,4,1,6,5,2,7,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,5,3,4,7,8,2,6]=>[1,7,4,3,8,6,2,5]=>[5,2,6,8,3,4,7,1]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]
[4,2,1,5,7,8,3,6]=>[7,3,2,4,8,6,1,5]=>[5,1,6,8,4,2,3,7]=>[[.,[[.,[.,.]],.]],[.,[[.,.],.]]]
[5,4,1,6,7,8,2,3]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[5,1,4,6,7,8,2,3]=>[8,2,7,4,5,6,3,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[4,1,5,3,7,8,2,6]=>[7,2,4,3,8,6,1,5]=>[5,1,6,8,3,4,2,7]=>[[.,[[.,.],[.,.]]],[.,[[.,.],.]]]
[8,1,4,6,5,2,7,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,2,1,6,7,5,4,3]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[1,2,4,7,6,3,8,5]=>[1,2,6,8,5,3,7,4]=>[4,7,3,5,8,6,2,1]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]
[6,7,4,1,8,5,2,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,6,4,1,5,7,3,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,2,4,3,7,1,6,8]=>[6,4,3,2,7,1,5,8]=>[8,5,1,7,2,3,4,6]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[6,1,5,4,8,3,2,7]=>[7,2,6,4,8,3,1,5]=>[5,1,3,8,4,6,2,7]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]
[1,2,8,7,4,3,6,5]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[3,2,1,7,5,8,4,6]=>[3,2,1,8,7,6,5,4]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[1,3,6,4,7,8,2,5]=>[1,7,8,4,5,6,2,3]=>[3,2,6,5,4,8,7,1]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]
[1,6,4,3,7,8,2,5]=>[1,8,7,4,5,6,3,2]=>[2,3,6,5,4,7,8,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[7,6,4,3,1,5,2,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,5,4,6,1,3,2,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,4,6,5,1,2,7,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,5,6,3,7,8,2,4]=>[1,8,7,4,5,6,3,2]=>[2,3,6,5,4,7,8,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[7,1,2,3,4,5,8,9,10,6]=>[10,2,3,4,5,6,7,8,9,1]=>[1,9,8,7,6,5,4,3,2,10]=>[.,[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]]
[6,1,2,3,4,7,8,9,10,5]=>[10,2,3,4,5,6,7,8,9,1]=>[1,9,8,7,6,5,4,3,2,10]=>[.,[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]]
[5,1,2,3,6,7,8,9,10,4]=>[10,2,3,4,5,6,7,8,9,1]=>[1,9,8,7,6,5,4,3,2,10]=>[.,[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]]
[6,8,3,5,7,2,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,5,2,4,3,8,7,6]=>[1,5,3,4,2,8,7,6]=>[6,7,8,2,4,3,5,1]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]
[8,6,5,7,2,1,4,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,6,3,8,4,5,7,2]=>[1,8,6,7,5,3,4,2]=>[2,4,3,5,7,6,8,1]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[7,5,4,2,6,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,8,6,5,4,3,2,9,1]=>[9,7,6,5,4,3,2,8,1]=>[1,8,2,3,4,5,6,7,9]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]]
[9,7,6,5,4,3,1,2,8]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[2,3,8,4,7,5,6,1]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[3,7,2,8,6,4,5,1]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,3,7,5,8,2,4,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,3,7,8,6,2,5,1]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[3,8,1,7,5,2,4,6]=>[6,8,3,7,5,1,4,2]=>[2,4,1,5,7,3,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[2,4,7,8,6,1,5,3]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[2,4,8,5,1,7,3,6]=>[5,7,8,4,1,6,2,3]=>[3,2,6,1,4,8,7,5]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]
[2,8,3,5,1,6,4,7]=>[5,8,3,7,1,6,4,2]=>[2,4,6,1,7,3,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[8,2,4,6,3,7,5,1]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[4,5,3,8,2,1,7,6]=>[6,5,3,8,2,1,7,4]=>[4,7,1,2,8,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[4,8,3,2,5,1,6,7]=>[6,8,4,3,5,1,7,2]=>[2,7,1,5,3,4,8,6]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]
[5,2,7,1,3,8,6,4]=>[8,4,7,2,5,6,3,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[5,6,7,8,9,2,1,3,4]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[6,7,8,9,2,1,3,4,5]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[1,4,6,2,7,5,3,8]=>[1,7,6,4,5,3,2,8]=>[8,2,3,5,4,6,7,1]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[8,2,7,5,1,4,6,3]=>[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[1,7,4,6,8,3,5,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,2,1,4,5,6,7,3]=>[8,3,2,7,5,6,4,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[7,2,4,1,5,8,6,3]=>[8,4,7,2,5,6,3,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[7,8,2,1,5,4,6,3]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[1,5,2,4,6,3,8,7]=>[1,6,3,4,5,2,8,7]=>[7,8,2,5,4,3,6,1]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]
[1,8,5,3,2,6,4,7]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[6,4,1,3,2,5,8,7]=>[6,5,3,4,2,1,8,7]=>[7,8,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]
[5,2,3,7,8,1,6,4]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[5,2,8,6,3,1,7,4]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[7,6,3,4,2,8,1,5]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,2,4,5,7,8,1,3]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[8,6,3,2,5,7,1,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,2,5,3,7,1,8,4]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[8,5,3,6,7,2,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,5,7,8,6,2,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,2,8,4,3,6,7,5]=>[1,2,8,5,4,7,6,3]=>[3,6,7,4,5,8,2,1]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]
[1,8,3,2,4,6,7,5]=>[1,8,4,3,5,7,6,2]=>[2,6,7,5,3,4,8,1]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]
[1,2,7,5,3,4,6,8]=>[1,2,7,6,5,4,3,8]=>[8,3,4,5,6,7,2,1]=>[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]
[8,2,7,1,4,3,5,6]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,2,1,3,6,8,4,5]=>[8,3,2,4,7,6,5,1]=>[1,5,6,7,4,2,3,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[6,2,1,7,8,3,4,5]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[4,7,8,1,6,5,3,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,5,8,6,1,4,2,7]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[1,8,4,2,7,6,3,5]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[8,7,2,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,3,8,1,6,5,4,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,3,8,2,6,5,4,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,1,3,8,6,5,4,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,3,7,6,5,4,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,4,1,8,7,3,6,5]=>[3,6,1,8,7,2,5,4]=>[4,5,2,7,8,1,6,3]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]
[7,3,8,6,1,5,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,5,1,7,8,2,6,4]=>[6,8,3,7,5,1,4,2]=>[2,4,1,5,7,3,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[5,4,7,8,2,1,6,3]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[5,3,6,1,8,4,2,7]=>[7,6,4,3,8,2,1,5]=>[5,1,2,8,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[6,3,8,7,1,5,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,4,7,1,5,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,4,7,1,5,3,2,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[3,4,6,2,1,8,5,7]=>[5,4,7,2,1,8,3,6]=>[6,3,8,1,2,7,4,5]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]
[4,5,7,2,1,6,3,8]=>[7,5,6,4,2,3,1,8]=>[8,1,3,2,4,6,5,7]=>[[.,[[.,.],[.,[[.,.],[.,.]]]]],.]
[5,6,4,8,3,2,1,7]=>[7,6,5,8,3,2,1,4]=>[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[5,7,4,8,2,1,6,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,7,5,8,2,1,6,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,7,4,2,6,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,7,4,1,6,2,8,3]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,8,7,3,1,4,2,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,6,1,7,3,2,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,5,1,6,7,8,3,2]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[4,5,2,6,1,3,8,7]=>[6,5,3,4,2,1,8,7]=>[7,8,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]
[8,4,6,7,2,5,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,4,6,7,2,5,8,1]=>[8,5,6,4,2,3,7,1]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[7,1,4,6,8,3,5,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,7,1,2,4,8,5,3]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[1,6,3,4,7,8,5,2]=>[1,8,7,4,5,6,3,2]=>[2,3,6,5,4,7,8,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[2,3,6,4,7,5,8,1]=>[8,2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[7,8,1,3,4,5,6,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,8,2,6,7,3,4,5]=>[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[4,7,3,2,8,1,5,6]=>[6,8,4,3,7,1,5,2]=>[2,5,1,7,3,4,8,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[7,1,2,6,3,8,5,4]=>[8,2,3,7,5,6,4,1]=>[1,4,6,5,7,3,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[8,1,2,6,3,7,5,4]=>[8,2,3,7,5,6,4,1]=>[1,4,6,5,7,3,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[8,1,2,7,6,3,5,4]=>[8,2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[4,8,7,3,1,6,2,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[4,7,8,3,1,6,2,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[7,4,3,1,6,2,8,5]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[7,4,3,1,8,6,2,5]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[3,7,6,2,4,8,1,5]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[4,3,7,2,8,6,1,5]=>[7,4,8,2,6,5,1,3]=>[3,1,5,6,2,8,4,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[5,1,2,6,3,8,7,4]=>[8,2,3,5,4,7,6,1]=>[1,6,7,4,5,3,2,8]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[5,1,2,7,3,8,6,4]=>[8,2,3,7,5,6,4,1]=>[1,4,6,5,7,3,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[8,3,6,2,1,7,4,5]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[6,1,2,8,3,5,7,4]=>[8,2,3,7,5,6,4,1]=>[1,4,6,5,7,3,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[7,5,3,2,1,8,6,4]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,2,1,5,3,6,7,8]=>[5,3,2,4,1,6,7,8]=>[8,7,6,1,4,2,3,5]=>[[[[.,[[.,[.,.]],[.,.]]],.],.],.]
[7,5,3,1,8,6,4,2,9]=>[8,7,6,4,5,3,2,1,9]=>[9,1,2,3,5,4,6,7,8]=>[[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]],.]
[6,2,5,4,1,8,7,3]=>[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[4,6,3,2,1,8,7,5]=>[5,8,4,3,1,7,6,2]=>[2,6,7,1,3,4,8,5]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[6,5,3,2,1,8,7,4]=>[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[8,4,3,2,7,6,1,5]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[1,5,8,4,7,6,3,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,3,2,8,6,1,5]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[6,8,3,7,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,7,8,4,3,2,1,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[6,4,3,8,5,2,1,7]=>[7,6,5,8,3,2,1,4]=>[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[8,2,5,4,7,6,1,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,2,5,4,8,6,1,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,2,5,4,8,6,1,7]=>[7,2,4,3,8,6,1,5]=>[5,1,6,8,3,4,2,7]=>[[.,[[.,.],[.,.]]],[.,[[.,.],.]]]
[3,2,8,6,5,4,1,7]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[8,4,3,6,5,2,1,7]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,3,7,5,2,1,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,2,7,8,5,4,1,6]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[6,8,7,4,3,2,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,6,1,4,8,7,2,5]=>[7,8,3,4,6,5,1,2]=>[2,1,5,6,4,3,8,7]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]
[5,8,1,3,7,2,6,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,7,5,1,8,2,6,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,3,2,1,8,7,4,5]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[6,2,3,1,8,7,4,5]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[3,4,7,1,8,5,6,2]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[3,4,8,1,7,5,6,2]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,2,5,1,8,3,6,4]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,2,1,5,8,4,6,3]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[4,2,8,1,7,5,6,3]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,3,6,4,1,7,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,3,1,5,2,8,6,4]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[7,1,6,4,2,8,5,3]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[3,7,4,1,5,8,6,2]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[5,8,6,1,2,7,4,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,8,1,4,3,7,5,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,7,1,4,3,8,5,2]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[4,7,1,5,3,8,6,2]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[6,8,1,2,4,7,5,3]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[7,1,6,4,8,3,5,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,6,4,1,3,7,5,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,5,3,6,1,7,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,2,1,4,5,8,6,3]=>[8,3,2,7,5,6,4,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[8,5,6,1,2,7,4,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,6,2,5,4,7,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,7,3,2,4,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,2,1,4,3,6,7]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[2,8,4,1,3,6,7,5]=>[4,8,5,1,3,7,6,2]=>[2,6,7,3,1,5,8,4]=>[[.,.],[[.,[[.,.],.]],[.,[.,.]]]]
[8,1,2,4,5,6,7,3]=>[8,2,3,7,5,6,4,1]=>[1,4,6,5,7,3,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[6,1,4,3,2,7,8,5]=>[8,2,5,4,3,6,7,1]=>[1,7,6,3,4,5,2,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[1,8,3,6,7,2,4,5]=>[1,8,6,7,5,3,4,2]=>[2,4,3,5,7,6,8,1]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[1,2,8,3,7,4,6,5]=>[1,2,8,4,7,6,5,3]=>[3,5,6,7,4,8,2,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[8,2,6,5,4,3,1,7]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,2,7,6,4,5,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,3,5,4,2,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[12,10,9,8,7,6,5,4,3,2,1,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[4,6,7,2,1,8,3,5]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[3,7,1,8,2,5,4,6]=>[5,8,3,7,1,6,4,2]=>[2,4,6,1,7,3,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[4,5,8,6,1,3,7,2]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[4,5,8,6,2,7,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,6,7,1,5,3,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,6,7,2,1,8,5,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,2,5,6,7,8,3,1]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[4,1,3,5,6,7,8,2]=>[8,2,3,4,5,6,7,1]=>[1,7,6,5,4,3,2,8]=>[.,[[[[[[.,.],.],.],.],.],[.,.]]]
[3,7,8,4,5,1,6,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,6,8,3,2,7,1,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[4,6,8,2,3,7,1,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[3,8,1,7,4,5,2,6]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[3,7,8,4,6,2,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,6,1,5,7,8,2,4]=>[7,8,3,4,5,6,1,2]=>[2,1,6,5,4,3,8,7]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]
[3,8,2,5,4,7,1,6]=>[7,8,3,5,4,6,1,2]=>[2,1,6,4,5,3,8,7]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[4,5,8,6,2,1,7,3]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[4,5,8,6,1,2,7,3]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[4,6,8,5,2,7,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,7,8,5,2,6,1,4]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[3,7,8,5,4,1,6,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,6,8,5,3,1,7,2]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[7,8,2,3,5,4,1,6]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,1,3,7,6,4,8,2]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[4,6,5,2,7,8,1,3]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[1,6,5,2,3,4,8,7]=>[1,6,5,4,3,2,8,7]=>[7,8,2,3,4,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]
[4,6,5,1,7,3,8,2]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[5,7,3,1,2,4,8,6]=>[6,8,5,4,3,1,7,2]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[6,3,2,5,1,7,4,8]=>[7,5,3,4,2,6,1,8]=>[8,1,6,2,4,3,5,7]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[6,1,2,4,8,5,3,7]=>[7,2,3,6,8,4,1,5]=>[5,1,4,8,6,3,2,7]=>[[.,[[[.,.],.],.]],[[.,[.,.]],.]]
[6,3,1,7,2,5,8,4]=>[8,5,3,6,2,4,7,1]=>[1,7,4,2,6,3,5,8]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[3,7,2,8,5,1,4,6]=>[6,8,3,7,5,1,4,2]=>[2,4,1,5,7,3,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[3,6,5,2,4,7,1,8]=>[7,5,4,3,2,6,1,8]=>[8,1,6,2,3,4,5,7]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[3,6,5,8,1,7,2,4]=>[7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[1,2,3,4,5,6,8,7,9]=>[1,2,3,4,5,6,8,7,9]=>[9,7,8,6,5,4,3,2,1]=>[[[[[[[[.,.],.],.],.],.],.],[.,.]],.]
[1,2,3,4,5,6,7,9,8,10]=>[1,2,3,4,5,6,7,9,8,10]=>[10,8,9,7,6,5,4,3,2,1]=>[[[[[[[[[.,.],.],.],.],.],.],.],[.,.]],.]
[5,2,7,3,4,6,1,8]=>[7,5,6,4,2,3,1,8]=>[8,1,3,2,4,6,5,7]=>[[.,[[.,.],[.,[[.,.],[.,.]]]]],.]
[1,3,5,8,6,4,7,2]=>[1,8,6,7,5,3,4,2]=>[2,4,3,5,7,6,8,1]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[1,3,5,8,6,7,2,4]=>[1,7,8,6,5,4,2,3]=>[3,2,4,5,6,8,7,1]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[6,1,7,4,8,5,3,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,7,4,1,3,6,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,4,3,1,6,5,8,2]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[8,6,1,7,5,3,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,8,1,4,6,5,3,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,8,6,1,4,5,3,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,2,7,3,8,5,4,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,2,8,3,6,4,5,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,2,7,8,3,1,4,5]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[1,7,8,2,5,3,4,6]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[3,7,8,1,2,5,6,4]=>[5,8,7,4,1,6,3,2]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,2,8,7,3,4,6,5]=>[1,2,8,7,5,6,4,3]=>[3,4,6,5,7,8,2,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[8,2,7,4,5,1,6,3]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[3,8,1,5,7,2,6,4]=>[6,8,3,7,5,1,4,2]=>[2,4,1,5,7,3,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[7,5,4,8,6,1,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,1,8,6,4,5,2,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,7,5,1,4,3,6,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,5,7,8,3,4,2,6]=>[1,7,8,6,5,4,2,3]=>[3,2,4,5,6,8,7,1]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[6,8,4,3,1,7,2,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,1,3,7,5,6,2]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[4,8,1,3,7,5,6,2]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[1,8,5,7,4,2,3,6]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,1,6,8,5,3,4,7]=>[2,1,7,8,6,5,3,4]=>[4,3,5,6,8,7,1,2]=>[[[.,[.,.]],.],[.,[.,[[.,.],.]]]]
[4,5,1,3,8,6,7,2]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[1,2,6,8,5,3,4,7]=>[1,2,7,8,6,5,3,4]=>[4,3,5,6,8,7,2,1]=>[[[[.,.],.],.],[.,[.,[[.,.],.]]]]
[5,6,8,7,3,1,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,5,3,8,1,2,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,2,3,4,7,1,8,5]=>[8,6,3,4,5,2,7,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[6,8,5,7,3,1,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,7,8,6,3,1,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,3,2,4,7,1,8,5]=>[8,6,3,4,5,2,7,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[5,7,8,3,6,1,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,5,8,6,2,4,3,7]=>[1,7,8,6,5,4,2,3]=>[3,2,4,5,6,8,7,1]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[1,5,3,7,2,6,8,4]=>[1,8,5,6,3,4,7,2]=>[2,7,4,3,6,5,8,1]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]
[5,1,8,6,2,4,3,7]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[5,8,6,3,7,1,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,5,2,4,8,6,7,3]=>[1,8,3,4,7,6,5,2]=>[2,5,6,7,4,3,8,1]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[1,5,4,2,6,8,7,3]=>[1,8,4,3,5,7,6,2]=>[2,6,7,5,3,4,8,1]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]
[5,7,6,3,8,1,2,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,7,6,8,3,1,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,7,5,3,1,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,7,2,1,5,3,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,3,6,1,4,8,2,5]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,8,1,6,5,3,4,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,7,3,2,1,4,6,5]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,3,5,1,7,4,2,6]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,5,6,8,4,2,7,1]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[5,8,2,6,4,3,7,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,3,6,2,8,5,7,1]=>[8,4,6,2,7,3,5,1]=>[1,5,3,7,2,6,4,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[1,7,2,3,5,8,6,4]=>[1,8,3,4,7,6,5,2]=>[2,5,6,7,4,3,8,1]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[4,6,2,3,5,1,7,8]=>[6,5,4,3,2,1,7,8]=>[8,7,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[2,8,3,7,5,1,6,4]=>[6,8,3,7,5,1,4,2]=>[2,4,1,5,7,3,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[6,4,8,7,2,1,5,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,8,2,3,7,5,6,4]=>[1,8,3,4,7,6,5,2]=>[2,5,6,7,4,3,8,1]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[2,8,4,3,6,7,1,5]=>[7,8,4,3,6,5,1,2]=>[2,1,5,6,3,4,8,7]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]
[7,3,2,5,6,1,8,4]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[1,6,7,8,2,4,3,5]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,1,2,8,5,3,7,6]=>[6,2,3,8,5,1,7,4]=>[4,7,1,5,8,3,2,6]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]
[3,8,4,2,5,1,7,6]=>[6,8,4,3,5,1,7,2]=>[2,7,1,5,3,4,8,6]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]
[1,8,5,6,4,3,2,7]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,8,3,5,6,4,1,7]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[4,1,5,7,6,8,2,3]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[7,6,8,3,2,5,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,7,8,1,6,4,5,3]=>[4,8,7,1,6,5,3,2]=>[2,3,5,6,1,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[2,7,1,4,5,3,8,6]=>[3,8,1,6,5,4,7,2]=>[2,7,4,5,6,1,8,3]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[1,5,2,7,4,3,6,8]=>[1,6,3,7,5,2,4,8]=>[8,4,2,5,7,3,6,1]=>[[[[.,.],[.,.]],[.,[[.,.],.]]],.]
[5,1,3,8,4,6,2,7]=>[7,2,5,8,3,6,1,4]=>[4,1,6,3,8,5,2,7]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[6,5,8,7,1,3,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,7,3,5,1,6,8,4]=>[5,8,3,6,1,4,7,2]=>[2,7,4,1,6,3,8,5]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]
[5,7,6,8,2,1,4,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,3,6,5,2,7,4,8]=>[1,5,7,4,2,6,3,8]=>[8,3,6,2,4,7,5,1]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]
[1,2,6,5,3,4,7,8]=>[1,2,6,5,4,3,7,8]=>[8,7,3,4,5,6,2,1]=>[[[[[.,.],.],[.,[.,[.,.]]]],.],.]
[1,7,2,5,6,8,3,4]=>[1,8,3,7,5,6,4,2]=>[2,4,6,5,7,3,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,7,2,4,8,3,5,6]=>[1,8,3,6,7,4,5,2]=>[2,5,4,7,6,3,8,1]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[1,6,2,4,5,3,7,8]=>[1,6,3,5,4,2,7,8]=>[8,7,2,4,5,3,6,1]=>[[[[.,.],[[.,.],[.,[.,.]]]],.],.]
[1,3,2,8,4,5,7,6]=>[1,3,2,8,5,6,7,4]=>[4,7,6,5,8,2,3,1]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[1,6,7,2,5,3,4,8]=>[1,7,6,4,5,3,2,8]=>[8,2,3,5,4,6,7,1]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[1,2,8,3,6,7,4,5]=>[1,2,8,4,7,6,5,3]=>[3,5,6,7,4,8,2,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[1,7,2,5,3,4,8,6]=>[1,8,3,6,5,4,7,2]=>[2,7,4,5,6,3,8,1]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[10,9,4,5,6,7,8,1,2,3]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,3,8,5,6,7,1,9,2,4]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[7,1,5,6,2,3,8,4]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[8,2,1,4,6,7,3,5]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[7,2,6,1,3,4,8,5]=>[8,4,6,2,5,3,7,1]=>[1,7,3,5,2,6,4,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[4,1,3,7,2,5,8,6]=>[5,2,3,8,1,6,7,4]=>[4,7,6,1,8,3,2,5]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]
[6,2,7,5,1,3,8,4]=>[8,5,6,4,2,3,7,1]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[3,7,6,1,2,4,8,5]=>[5,8,6,4,1,3,7,2]=>[2,7,3,1,4,6,8,5]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]
[8,6,1,3,5,7,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,1,5,3,4,8,2,7]=>[7,2,5,4,3,8,1,6]=>[6,1,8,3,4,5,2,7]=>[[.,[[.,.],[.,[.,.]]]],[[.,.],.]]
[3,6,7,5,2,8,1,4]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[7,8,4,1,5,6,2,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,8,1,3,6,7,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,8,4,3,7,1,5,6]=>[6,8,4,3,7,1,5,2]=>[2,5,1,7,3,4,8,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[3,8,4,6,7,1,2,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[6,3,8,4,7,1,2,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,2,5,4,8,3,6,7]=>[1,2,6,4,8,3,7,5]=>[5,7,3,8,4,6,2,1]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]
[7,1,3,8,2,4,5,6]=>[8,2,5,7,3,6,4,1]=>[1,4,6,3,7,5,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[8,1,3,7,2,4,5,6]=>[8,2,5,7,3,6,4,1]=>[1,4,6,3,7,5,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[3,5,4,7,8,1,2,6]=>[7,6,3,8,5,2,1,4]=>[4,1,2,5,8,3,6,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[8,3,1,4,7,2,5,6]=>[8,6,3,4,7,2,5,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[1,6,4,7,8,2,3,5]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,2,3,6,7,8,1,4]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[6,2,7,3,8,5,1,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,3,7,8,5,6,2,4]=>[1,7,8,6,5,4,2,3]=>[3,2,4,5,6,8,7,1]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[8,2,6,7,5,1,3,4]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[8,1,7,4,6,2,3,5]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,5,8,7,1,2,3,6]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[4,1,8,5,7,2,3,6]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[1,8,7,4,6,2,3,5]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,6,5,4,1,8,3,7]=>[5,7,4,3,1,8,2,6]=>[6,2,8,1,3,4,7,5]=>[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]
[6,2,5,1,4,8,3,7]=>[7,4,5,2,3,8,1,6]=>[6,1,8,3,2,5,4,7]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]
[6,5,4,1,3,8,2,7]=>[7,5,4,3,2,8,1,6]=>[6,1,8,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[6,3,5,4,2,8,1,7]=>[7,5,4,3,2,8,1,6]=>[6,1,8,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[1,3,8,7,4,2,6,5]=>[1,6,8,7,5,2,4,3]=>[3,4,2,5,7,8,6,1]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]
[8,7,4,3,1,5,2,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,2,5,1,4,6,7,3]=>[8,4,7,2,5,6,3,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[3,8,4,5,1,6,7,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,5,4,1,3,6,7,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,3,1,7,5,6,4,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,4,7,6,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,1,4,5,7,6,3,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,4,1,8,5,7,6,3]=>[3,8,1,7,5,6,4,2]=>[2,4,6,5,7,1,8,3]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[8,2,1,4,7,6,3,5]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[8,3,1,7,4,2,6,5]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[8,2,7,3,1,6,5,4]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[3,1,2,8,7,4,6,5]=>[3,2,1,8,7,6,5,4]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[8,5,1,2,4,3,7,6]=>[8,6,3,4,5,2,7,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[2,8,3,7,4,1,6,5]=>[6,8,3,7,5,1,4,2]=>[2,4,1,5,7,3,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[8,4,5,7,6,2,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,3,1,8,7,6,4,5]=>[3,2,1,8,7,6,5,4]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[4,2,8,7,3,1,5,6]=>[6,5,8,7,2,1,4,3]=>[3,4,1,2,7,8,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]
[8,1,3,4,6,7,2,5]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[3,4,8,2,6,7,1,5]=>[7,4,8,2,6,5,1,3]=>[3,1,5,6,2,8,4,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[3,8,2,5,7,4,6,1]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,4,2,1,7,5,6,3]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[8,2,7,5,6,4,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,2,8,5,4,1,7,3]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[6,8,5,4,1,7,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,8,1,5,7,6,3,4]=>[3,8,1,7,6,5,4,2]=>[2,4,5,6,7,1,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[3,1,8,2,7,5,6,4]=>[4,2,8,1,7,6,5,3]=>[3,5,6,7,1,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[8,5,7,1,6,4,2,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,8,4,7,3,6,5,1]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[8,4,7,2,1,6,5,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,8,4,7,6,5,2,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,5,8,1,7,4,6,2]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[8,4,7,1,3,6,5,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,2,9,4,5,6,7,1,3]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[8,9,3,4,5,6,7,1,2]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[4,2,3,1,9,8,7,6,5]=>[4,3,2,1,9,8,7,6,5]=>[5,6,7,8,9,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]]
[3,2,1,9,8,6,7,5,4]=>[3,2,1,9,8,7,6,5,4]=>[4,5,6,7,8,9,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]]
[9,2,10,4,5,6,7,8,1,3]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[2,3,4,7,6,8,1,5]=>[7,2,3,8,5,6,1,4]=>[4,1,6,5,8,3,2,7]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[3,8,1,2,5,6,4,7]=>[4,8,3,1,7,6,5,2]=>[2,5,6,7,1,3,8,4]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[8,5,2,1,4,6,7,3]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[4,8,1,6,5,2,7,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,2,6,3,8,5,7,1]=>[8,4,6,2,7,3,5,1]=>[1,5,3,7,2,6,4,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[4,5,2,6,7,1,8,3]=>[8,6,3,4,5,2,7,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[2,7,4,1,6,3,5,8]=>[4,7,6,1,5,3,2,8]=>[8,2,3,5,1,6,7,4]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[8,3,5,4,2,7,1,6]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,8,6,4,7,3,1,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[3,1,8,6,5,2,7,4]=>[6,2,8,7,5,1,4,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[8,3,1,5,2,6,7,4]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[3,8,2,4,1,5,7,6]=>[5,8,3,4,1,6,7,2]=>[2,7,6,1,4,3,8,5]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]
[5,8,3,2,4,1,7,6]=>[6,8,5,4,3,1,7,2]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[7,2,6,8,4,3,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,5,3,2,4,8,1,7]=>[7,5,4,3,2,8,1,6]=>[6,1,8,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[5,2,4,6,1,3,8,7]=>[6,5,3,4,2,1,8,7]=>[7,8,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]
[7,2,3,4,6,8,1,5]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[8,3,4,6,7,5,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,3,4,7,5,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,6,1,3,4,7,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,8,1,5,7,6,3,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,7,4,6,8,2,5,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,7,1,6,8,3,2,5]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[4,5,2,8,1,7,3,6]=>[7,5,3,8,2,6,1,4]=>[4,1,6,2,8,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[3,7,5,2,8,6,1,4]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[4,8,5,2,6,7,1,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,4,8,6,1,2,7,3]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[8,4,6,5,2,7,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,1,6,4,7,5,2,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,2,7,6,4,8,1,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,6,2,3,5,1,7,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,2,5,7,4,1,3,6]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[7,2,4,5,6,8,1,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,1,3,5,6,2,8,4]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[7,1,5,8,4,6,3,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,3,8,4,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,3,6,1,4,2,8,7]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[5,7,2,1,4,3,8,6]=>[6,8,4,3,5,1,7,2]=>[2,7,1,5,3,4,8,6]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]
[7,1,8,3,5,2,4,6]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,2,4,8,1,5,6,3]=>[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[7,1,8,4,2,5,6,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,4,2,5,8,1,7,3]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[2,1,7,5,8,3,6,4]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[7,3,8,5,6,2,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,7,4,8,1,5,6,3]=>[5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[7,4,8,3,1,5,6,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,1,5,8,3,7,4,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,6,3,5,8,7,4,1]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[8,6,5,3,7,2,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,5,3,7,2,1,6]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[7,4,8,6,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,4,8,5,6,3,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,4,1,3,5,6,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,8,3,4,1,5,6,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,3,1,8,2,5,6,4]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[7,2,3,8,1,5,6,4]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[6,4,8,7,3,2,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,7,4,8,6,3,1,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[6,4,8,2,3,1,7,5]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[7,2,1,8,3,5,6,4]=>[8,3,2,7,5,6,4,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[5,1,6,3,8,2,4,7]=>[7,2,6,4,8,3,1,5]=>[5,1,3,8,4,6,2,7]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]
[3,6,5,1,4,8,7,2]=>[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[7,3,6,2,8,4,1,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,5,1,8,4,7,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,5,4,8,1,6,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,3,5,8,7,1,2,6]=>[7,6,3,8,5,2,1,4]=>[4,1,2,5,8,3,6,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[3,5,6,8,1,4,2,7]=>[7,6,5,8,3,2,1,4]=>[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[4,3,5,8,2,1,6,7]=>[6,5,3,8,2,1,7,4]=>[4,7,1,2,8,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[6,4,7,2,3,1,5,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,8,1,5,4,2,7,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,8,6,3,1,4,2,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,6,3,5,1,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,2,8,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,1,8,4,7,2,3,5]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,6,4,3,7,1,8,2]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[6,5,3,7,2,4,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,6,2,8,4,3,7,1]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[7,1,3,6,5,8,4,2]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[5,7,4,3,6,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,6,2,7,8,3,5,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,1,2,4,6,7,8,3]=>[8,2,3,4,5,6,7,1]=>[1,7,6,5,4,3,2,8]=>[.,[[[[[[.,.],.],.],.],.],[.,.]]]
[4,6,3,5,2,8,7,1]=>[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[5,6,3,4,8,2,7,1]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[5,2,6,4,1,7,8,3]=>[8,5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[5,8,4,6,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,4,3,8,6,2,7,1]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[5,7,8,2,4,3,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,6,2,4,8,3,7,1]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[6,4,7,8,2,3,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,7,5,2,4,8,1,6]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[4,7,5,2,3,8,6,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,4,7,3,2,5,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,7,3,2,8,4,6,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,3,7,2,8,4,6,1]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[4,3,7,2,5,8,6,1]=>[8,4,7,2,5,6,3,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[4,7,3,2,5,8,6,1]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[4,7,3,2,6,8,5,1]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[7,5,3,2,6,4,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,5,2,6,7,3,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,2,6,3,7,5,1]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[7,4,6,2,3,8,5,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,5,6,2,8,3,4,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,7,6,2,8,3,4,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,7,6,2,3,8,5,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,6,3,2,5,8,1,4]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,6,4,2,5,8,3,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[9,8,4,5,6,7,1,2,10,3]=>[10,8,7,6,5,4,3,2,9,1]=>[1,9,2,3,4,5,6,7,8,10]=>[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]]
[9,3,8,5,6,7,1,2,10,4]=>[10,8,7,6,5,4,3,2,9,1]=>[1,9,2,3,4,5,6,7,8,10]=>[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]]
[9,7,4,5,6,1,8,2,10,3]=>[10,8,7,6,5,4,3,2,9,1]=>[1,9,2,3,4,5,6,7,8,10]=>[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]]
[6,3,8,5,4,7,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,3,2,4,5,6,7,8,9]=>[1,3,2,4,5,6,7,8,9]=>[9,8,7,6,5,4,2,3,1]=>[[[[[[[[.,.],[.,.]],.],.],.],.],.],.]
[1,4,2,3,5,6,7,8,9]=>[1,4,3,2,5,6,7,8,9]=>[9,8,7,6,5,2,3,4,1]=>[[[[[[[.,.],[.,[.,.]]],.],.],.],.],.]
[1,3,2,4,5,6,7,8,9,10]=>[1,3,2,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,2,3,1]=>[[[[[[[[[.,.],[.,.]],.],.],.],.],.],.],.]
[2,4,6,3,8,7,5,1]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[2,4,6,1,8,7,3,5]=>[4,7,8,1,6,5,2,3]=>[3,2,5,6,1,8,7,4]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]
[2,4,3,6,8,7,1,5]=>[7,3,2,8,6,5,1,4]=>[4,1,5,6,8,2,3,7]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]
[2,4,6,3,8,7,1,5]=>[7,4,8,2,6,5,1,3]=>[3,1,5,6,2,8,4,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[2,4,6,5,8,7,1,3]=>[7,8,4,3,6,5,1,2]=>[2,1,5,6,3,4,8,7]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]
[2,4,6,8,5,7,3,1]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[2,4,6,8,5,7,1,3]=>[7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[2,4,6,8,3,7,1,5]=>[7,5,8,6,2,4,1,3]=>[3,1,4,2,6,8,5,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[2,4,6,8,1,7,3,5]=>[5,7,8,6,1,4,2,3]=>[3,2,4,1,6,8,7,5]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]]
[2,4,6,5,1,8,7,3]=>[5,8,4,3,1,7,6,2]=>[2,6,7,1,3,4,8,5]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[2,4,6,5,8,3,7,1]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[2,4,6,5,8,1,7,3]=>[6,8,4,3,7,1,5,2]=>[2,5,1,7,3,4,8,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[2,4,6,8,5,1,7,3]=>[6,8,5,7,3,1,4,2]=>[2,4,1,3,7,5,8,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[2,4,6,8,7,3,5,1]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[2,4,6,8,7,1,5,3]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[2,4,6,8,7,1,3,5]=>[6,7,8,5,4,1,2,3]=>[3,2,1,4,5,8,7,6]=>[[[.,.],.],[.,[.,[[[.,.],.],.]]]]
[2,4,6,8,5,1,3,7]=>[6,7,5,8,3,1,2,4]=>[4,2,1,3,8,5,7,6]=>[[[.,.],[.,.]],[[.,[[.,.],.]],.]]
[2,4,6,5,1,8,3,7]=>[5,7,4,3,1,8,2,6]=>[6,2,8,1,3,4,7,5]=>[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]
[2,4,6,5,1,3,8,7]=>[5,6,4,3,1,2,8,7]=>[7,8,2,1,3,4,6,5]=>[[[.,.],[.,[.,[[.,.],.]]]],[.,.]]
[2,4,6,5,3,8,1,7]=>[7,5,4,3,2,8,1,6]=>[6,1,8,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[2,4,6,5,8,3,1,7]=>[7,6,4,3,8,2,1,5]=>[5,1,2,8,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[2,4,6,8,5,3,1,7]=>[7,6,5,8,3,2,1,4]=>[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[2,4,6,8,7,3,1,5]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[2,4,6,8,7,5,1,3]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[4,8,7,5,2,1,3,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[6,1,4,7,5,8,2,3]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[1,8,6,5,3,2,7,4]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,6,3,5,8,2,4,7]=>[1,7,6,4,8,3,2,5]=>[5,2,3,8,4,6,7,1]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]
[4,6,1,7,8,5,3,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,1,2,7,8,4,5,3]=>[8,2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[6,1,3,2,7,8,5,4]=>[8,2,4,3,7,6,5,1]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[5,6,3,1,7,4,8,2]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[4,8,3,7,1,6,5,2]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[8,7,2,6,5,1,4,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,3,2,1,7,6,4]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,4,3,8,1,7,6,2]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[6,5,3,8,7,1,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,3,8,2,7,6,5,1]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[4,8,2,7,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,2,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,8,7,6,2,5,1,4]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[4,8,3,7,2,1,6,5]=>[6,8,5,7,3,1,4,2]=>[2,4,1,3,7,5,8,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[8,6,3,1,7,5,4,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,6,3,7,1,5,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,3,7,6,2,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,2,7,6,4,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,2,1,7,6,5,3]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[1,6,4,2,5,3,7,8]=>[1,6,5,4,3,2,7,8]=>[8,7,2,3,4,5,6,1]=>[[[[.,.],[.,[.,[.,[.,.]]]]],.],.]
[1,8,6,2,7,3,4,5]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,5,2,6,4,3,7,8]=>[1,6,3,5,4,2,7,8]=>[8,7,2,4,5,3,6,1]=>[[[[.,.],[[.,.],[.,[.,.]]]],.],.]
[1,5,2,4,6,3,7,8]=>[1,6,3,4,5,2,7,8]=>[8,7,2,5,4,3,6,1]=>[[[[.,.],[[[.,.],.],[.,.]]],.],.]
[1,8,6,2,3,7,4,5]=>[1,8,7,4,5,6,3,2]=>[2,3,6,5,4,7,8,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[1,3,6,8,2,7,4,5]=>[1,5,8,7,2,6,4,3]=>[3,4,6,2,7,8,5,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[1,4,3,8,2,5,6,7]=>[1,5,3,8,2,6,7,4]=>[4,7,6,2,8,3,5,1]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[1,7,2,3,8,5,4,6]=>[1,8,3,4,7,6,5,2]=>[2,5,6,7,4,3,8,1]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[1,3,8,4,2,5,6,7]=>[1,5,8,4,2,6,7,3]=>[3,7,6,2,4,8,5,1]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]
[1,7,2,3,8,6,4,5]=>[1,8,3,4,7,6,5,2]=>[2,5,6,7,4,3,8,1]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[1,5,3,8,2,7,4,6]=>[1,7,5,8,3,6,2,4]=>[4,2,6,3,8,5,7,1]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[1,4,8,2,5,6,3,7]=>[1,7,8,4,5,6,2,3]=>[3,2,6,5,4,8,7,1]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]
[1,2,7,3,6,8,4,5]=>[1,2,8,4,7,6,5,3]=>[3,5,6,7,4,8,2,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[1,7,2,3,6,8,4,5]=>[1,8,3,4,7,6,5,2]=>[2,5,6,7,4,3,8,1]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[1,4,8,3,2,5,6,7]=>[1,5,8,4,2,6,7,3]=>[3,7,6,2,4,8,5,1]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]
[1,7,2,5,8,3,4,6]=>[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[5,2,3,4,1,7,9,8,6]=>[5,4,3,2,1,9,8,7,6]=>[6,7,8,9,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,.]]]]
[6,2,3,5,8,1,7,4]=>[8,6,3,4,7,2,5,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[4,2,3,1,6,9,7,8,5]=>[4,3,2,1,9,8,7,6,5]=>[5,6,7,8,9,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]]
[5,2,4,8,1,6,7,3]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[2,6,4,5,7,3,1,8]=>[7,6,4,3,5,2,1,8]=>[8,1,2,5,3,4,6,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[2,5,6,3,4,7,1,8]=>[7,5,4,3,2,6,1,8]=>[8,1,6,2,3,4,5,7]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[1,3,7,5,6,8,4,2]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,5,6,3,4,2,7,8]=>[1,6,5,4,3,2,7,8]=>[8,7,2,3,4,5,6,1]=>[[[[.,.],[.,[.,[.,[.,.]]]]],.],.]
[1,5,6,3,4,7,2,8]=>[1,7,5,4,3,6,2,8]=>[8,2,6,3,4,5,7,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[1,5,3,6,4,2,7,8]=>[1,6,5,4,3,2,7,8]=>[8,7,2,3,4,5,6,1]=>[[[[.,.],[.,[.,[.,[.,.]]]]],.],.]
[1,7,5,6,8,3,4,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,7,5,6,3,8,4,2]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,3,7,5,2,8,6,4]=>[1,5,8,7,2,6,4,3]=>[3,4,6,2,7,8,5,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[1,3,7,2,5,8,6,4]=>[1,4,8,2,7,6,5,3]=>[3,5,6,7,2,8,4,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[1,5,3,7,4,6,2,8]=>[1,7,5,6,3,4,2,8]=>[8,2,4,3,6,5,7,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[1,5,3,7,6,4,2,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[1,5,3,6,7,4,2,8]=>[1,7,6,4,5,3,2,8]=>[8,2,3,5,4,6,7,1]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[1,5,6,3,7,4,2,8]=>[1,7,6,4,5,3,2,8]=>[8,2,3,5,4,6,7,1]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[2,5,7,4,1,3,8,6]=>[5,6,8,4,1,2,7,3]=>[3,7,2,1,4,8,6,5]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]
[6,7,3,1,8,5,2,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,3,1,5,8,7,2,4]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[8,3,5,1,7,6,2,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,6,3,5,8,2,1,7]=>[7,6,4,3,8,2,1,5]=>[5,1,2,8,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[7,2,4,8,6,3,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,3,6,4,1,8,7,5]=>[5,2,8,4,1,7,6,3]=>[3,6,7,1,4,8,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[7,4,5,2,1,8,6,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,7,5,2,1,8,6,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,5,3,6,2,1,7,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,5,7,3,1,2,8,6]=>[6,5,8,4,2,1,7,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[4,5,1,8,3,2,7,6]=>[6,5,3,8,2,1,7,4]=>[4,7,1,2,8,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[5,7,4,6,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[3,6,1,2,4,8,7,5]=>[4,8,3,1,5,7,6,2]=>[2,6,7,5,1,3,8,4]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]
[2,5,3,8,4,1,7,6]=>[6,5,3,8,2,1,7,4]=>[4,7,1,2,8,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[8,6,2,3,1,7,5,4]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,5,2,3,1,8,6,4]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,7,5,2,3,6,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[3,6,8,4,5,1,2,7]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[5,2,3,7,6,4,1,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[6,2,7,3,5,4,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,2,6,5,3,4,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,2,6,5,4,1,3,7]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[6,2,8,4,5,1,3,7]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[2,3,1,7,8,5,6,4]=>[3,2,1,8,7,6,5,4]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[7,2,8,5,1,4,3,6]=>[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[8,6,7,1,4,2,3,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,8,7,1,4,3,2,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,8,2,5,3,1,4,7]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[3,7,8,5,1,4,2,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[4,8,7,3,1,2,5,6]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[4,8,6,2,3,1,5,7]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[3,8,5,4,2,1,6,7]=>[6,8,5,4,3,1,7,2]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[4,5,3,8,2,1,6,7]=>[6,5,3,8,2,1,7,4]=>[4,7,1,2,8,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[3,7,4,1,8,2,6,5]=>[6,8,4,3,7,1,5,2]=>[2,5,1,7,3,4,8,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[3,8,4,1,7,6,2,5]=>[7,8,4,3,6,5,1,2]=>[2,1,5,6,3,4,8,7]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]
[3,7,2,1,8,4,6,5]=>[4,8,3,1,7,6,5,2]=>[2,5,6,7,1,3,8,4]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[8,7,1,6,5,2,3,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,5,1,2,7,6,3,4]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[3,8,2,1,7,6,4,5]=>[4,8,3,1,7,6,5,2]=>[2,5,6,7,1,3,8,4]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[3,5,7,8,2,4,6,1]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[7,8,2,5,4,3,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,5,3,7,8,2,6,1]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[1,5,4,7,3,6,2,8]=>[1,7,5,6,3,4,2,8]=>[8,2,4,3,6,5,7,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[1,7,3,6,8,4,5,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,6,8,2,7,3,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,7,6,3,5,1,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,8,3,6,1,5,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,5,7,8,4,6,1,3]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[3,7,5,6,2,1,4,8]=>[6,7,5,4,3,1,2,8]=>[8,2,1,3,4,5,7,6]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[6,2,1,7,4,5,3,8]=>[7,3,2,6,5,4,1,8]=>[8,1,4,5,6,2,3,7]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[1,2,6,4,7,5,3,8]=>[1,2,7,6,5,4,3,8]=>[8,3,4,5,6,7,2,1]=>[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]
[7,5,6,3,8,4,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,5,4,2,1,6,7,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,6,8,4,7,5,1,3]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[6,7,5,1,4,8,3,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,4,1,6,5,3,8,2]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[5,8,2,7,3,6,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,6,5,7,3,8,4,2]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,5,6,8,4,2,7,3]=>[1,8,6,7,5,3,4,2]=>[2,4,3,5,7,6,8,1]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[7,5,4,1,8,2,6,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,4,1,8,2,7,5,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,8,5,3,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,2,5,1,7,6,4,3]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,7,4,3,8,2,5,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,4,2,7,8,6,1,5]=>[7,3,2,8,6,5,1,4]=>[4,1,5,6,8,2,3,7]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]
[7,8,6,1,4,3,2,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,4,7,8,6,1,3,5]=>[6,7,8,5,4,1,2,3]=>[3,2,1,4,5,8,7,6]=>[[[.,.],.],[.,[.,[[[.,.],.],.]]]]
[3,7,8,6,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,5,2,7,8,6,3,1]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,6,2,5,3,1,7,8]=>[6,5,4,3,2,1,7,8]=>[8,7,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[4,1,5,6,3,2,7,8]=>[6,2,5,4,3,1,7,8]=>[8,7,1,3,4,5,2,6]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[2,6,7,5,4,1,3,8]=>[6,7,5,4,3,1,2,8]=>[8,2,1,3,4,5,7,6]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[6,7,4,3,1,5,2,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,7,5,6,4,3,2,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[7,6,5,3,1,8,4,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,8,6,4,3,1,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,1,7,8,6,5,3,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,5,7,3,8,6,1,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,8,5,3,7,2,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,7,1,5,8,2,6,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,7,6,2,1,8,4,5]=>[5,8,7,4,1,6,3,2]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[2,7,5,8,3,6,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,4,8,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,5,4,8,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,3,8,1,6,5,2,7]=>[7,4,8,2,6,5,1,3]=>[3,1,5,6,2,8,4,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[2,3,6,5,7,8,1,4]=>[7,2,8,4,5,6,1,3]=>[3,1,6,5,4,8,2,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[8,3,4,1,2,6,7,5]=>[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[7,3,4,8,5,2,1,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,3,8,4,1,5,6,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,2,4,5,1,8,3,6]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[7,3,1,2,8,5,6,4]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[4,8,2,3,5,7,6,1]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[4,5,2,3,8,6,7,1]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[6,7,4,8,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,3,5,6,1,7,8,2]=>[8,5,3,4,2,6,7,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]
[3,5,2,6,4,7,8,1]=>[8,5,3,4,2,6,7,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]
[4,1,2,8,5,7,6,3]=>[8,2,3,7,5,6,4,1]=>[1,4,6,5,7,3,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[3,1,5,6,4,7,8,2]=>[8,2,5,4,3,6,7,1]=>[1,7,6,3,4,5,2,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[2,6,4,5,8,1,3,7]=>[6,7,4,3,8,1,2,5]=>[5,2,1,8,3,4,7,6]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]
[6,4,1,3,5,8,2,7]=>[7,5,3,4,2,8,1,6]=>[6,1,8,2,4,3,5,7]=>[[.,[.,[[.,.],[.,.]]]],[[.,.],.]]
[3,4,1,7,2,6,8,5]=>[5,3,2,8,1,6,7,4]=>[4,7,6,1,8,2,3,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[3,1,6,4,8,7,5,2]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[3,7,6,2,1,5,8,4]=>[5,8,6,4,1,3,7,2]=>[2,7,3,1,4,6,8,5]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]
[4,2,6,1,3,7,8,5]=>[5,4,8,2,1,6,7,3]=>[3,7,6,1,2,8,4,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[8,5,4,2,7,6,3,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,8,4,6,7,1,3,5]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[5,8,2,1,4,6,7,3]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[8,4,6,1,2,5,7,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,7,8,4,2,6,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,6,2,8,7,1,3,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,1,3,8,4,5,6,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,8,1,4,3,5,6,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,6,7,1,3,5,8,4]=>[4,8,6,1,5,3,7,2]=>[2,7,3,5,1,6,8,4]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[3,4,1,8,7,2,6,5]=>[6,3,2,8,7,1,5,4]=>[4,5,1,7,8,2,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]
[3,1,5,7,2,8,6,4]=>[5,2,8,7,1,6,4,3]=>[3,4,6,1,7,8,2,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[3,8,1,4,7,2,6,5]=>[6,8,3,4,7,1,5,2]=>[2,5,1,7,4,3,8,6]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[4,8,1,3,2,7,6,5]=>[5,8,3,4,1,7,6,2]=>[2,6,7,1,4,3,8,5]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[4,1,8,3,2,7,6,5]=>[5,2,8,4,1,7,6,3]=>[3,6,7,1,4,8,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[4,3,8,1,2,7,6,5]=>[5,4,8,2,1,7,6,3]=>[3,6,7,1,2,8,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[4,3,8,2,1,7,6,5]=>[5,4,8,2,1,7,6,3]=>[3,6,7,1,2,8,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[3,8,4,2,7,1,6,5]=>[6,8,4,3,7,1,5,2]=>[2,5,1,7,3,4,8,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[2,8,4,3,7,6,1,5]=>[7,8,4,3,6,5,1,2]=>[2,1,5,6,3,4,8,7]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]
[3,8,2,4,7,1,6,5]=>[6,8,3,4,7,1,5,2]=>[2,5,1,7,4,3,8,6]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[3,2,5,7,1,8,6,4]=>[5,2,8,7,1,6,4,3]=>[3,4,6,1,7,8,2,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[4,2,8,3,1,7,6,5]=>[5,4,8,2,1,7,6,3]=>[3,6,7,1,2,8,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[4,8,2,1,3,7,6,5]=>[5,8,4,3,1,7,6,2]=>[2,6,7,1,3,4,8,5]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[4,2,8,1,3,7,6,5]=>[5,4,8,2,1,7,6,3]=>[3,6,7,1,2,8,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[5,6,4,7,1,2,8,3]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,6,7,5,8,2,3,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,5,7,1,6,8,3,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,2,7,6,8,1,4,5]=>[6,2,8,7,5,1,4,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[4,5,1,7,6,8,2,3]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[6,7,2,8,3,1,4,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,3,1,2,8,4,5]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,2,7,8,4,1,3,5]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[6,3,7,8,4,1,2,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,5,2,4,1,3,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,2,3,1,8,4,5]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,2,5,1,3,7,8,6]=>[5,4,3,2,1,8,7,6]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[3,5,1,4,2,7,8,6]=>[5,4,3,2,1,8,7,6]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[3,4,1,7,8,5,2,6]=>[7,3,2,8,6,5,1,4]=>[4,1,5,6,8,2,3,7]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]
[4,3,1,8,5,2,7,6]=>[6,3,2,8,5,1,7,4]=>[4,7,1,5,8,2,3,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[7,6,3,5,8,4,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,5,1,3,2,7,8,6]=>[5,4,3,2,1,8,7,6]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[5,1,3,2,4,7,8,6]=>[5,2,4,3,1,8,7,6]=>[6,7,8,1,3,4,2,5]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]
[2,3,7,8,5,4,1,6]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[8,3,5,6,1,7,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,5,8,1,2,6,7,3]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[5,3,6,7,8,2,1,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,2,4,1,3,8,5,6]=>[8,4,5,2,3,7,6,1]=>[1,6,7,3,2,5,4,8]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[3,8,2,5,4,1,6,7]=>[6,8,3,5,4,1,7,2]=>[2,7,1,4,5,3,8,6]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[8,4,5,2,6,1,7,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,6,8,2,3,7,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,5,7,2,3,6,1,8]=>[7,5,6,4,2,3,1,8]=>[8,1,3,2,4,6,5,7]=>[[.,[[.,.],[.,[[.,.],[.,.]]]]],.]
[2,7,3,4,1,5,6,8]=>[5,7,3,4,1,6,2,8]=>[8,2,6,1,4,3,7,5]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[6,7,2,3,4,8,1,5]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,2,6,3,5,7,8,1]=>[8,4,5,2,3,6,7,1]=>[1,7,6,3,2,5,4,8]=>[.,[[[[.,.],[[.,.],.]],.],[.,.]]]
[1,4,8,5,6,2,7,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,3,5,8,4,7,1,2]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[2,8,7,4,5,1,6,3]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[1,3,8,5,2,6,7,4]=>[1,5,8,7,2,6,4,3]=>[3,4,6,2,7,8,5,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[7,2,8,4,5,1,6,3]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[6,2,3,5,1,7,8,4]=>[8,5,3,4,2,6,7,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]
[8,6,2,4,1,5,7,3]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[1,6,4,3,2,7,8,5]=>[1,8,5,4,3,6,7,2]=>[2,7,6,3,4,5,8,1]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[8,5,3,2,1,6,7,4]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[1,7,5,2,3,6,8,4]=>[1,8,6,4,5,3,7,2]=>[2,7,3,5,4,6,8,1]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[7,1,5,2,3,6,8,4]=>[8,2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[8,1,2,5,3,6,7,4]=>[8,2,3,7,5,6,4,1]=>[1,4,6,5,7,3,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[8,4,1,6,3,7,2,5]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,7,5,3,8,2,1,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,2,6,8,3,7,1,4]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[4,2,5,8,6,7,1,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,8,6,3,4,1,7,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,7,2,4,1,8,6,5]=>[5,8,3,4,1,7,6,2]=>[2,6,7,1,4,3,8,5]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[2,4,7,8,5,1,3,6]=>[6,7,8,5,4,1,2,3]=>[3,2,1,4,5,8,7,6]=>[[[.,.],.],[.,[.,[[[.,.],.],.]]]]
[2,5,3,8,4,1,6,7]=>[6,5,3,8,2,1,7,4]=>[4,7,1,2,8,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[5,7,6,8,1,3,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,1,7,4,5,6,2,8]=>[7,2,6,4,5,3,1,8]=>[8,1,3,5,4,6,2,7]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[2,4,8,3,5,7,1,6]=>[7,4,8,2,5,6,1,3]=>[3,1,6,5,2,8,4,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[8,1,7,2,4,3,5,6]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[1,3,8,2,4,7,5,6]=>[1,4,8,2,5,7,6,3]=>[3,6,7,5,2,8,4,1]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]
[1,8,3,7,4,2,5,6]=>[1,8,6,7,5,3,4,2]=>[2,4,3,5,7,6,8,1]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[8,7,3,1,4,2,5,6]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,8,4,3,5,7,1,6]=>[7,8,4,3,5,6,1,2]=>[2,1,6,5,3,4,8,7]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]
[3,2,8,7,4,1,5,6]=>[6,2,8,7,5,1,4,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[3,2,1,7,4,6,5,8]=>[3,2,1,7,5,6,4,8]=>[8,4,6,5,7,1,2,3]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[3,2,6,5,1,7,8,4]=>[5,2,8,4,1,6,7,3]=>[3,7,6,1,4,8,2,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[5,3,2,6,7,1,8,4]=>[8,6,3,4,5,2,7,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[3,2,8,6,7,4,1,5]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[8,4,6,2,7,3,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,3,8,6,7,2,1,5]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[4,3,6,2,8,7,1,5]=>[7,4,8,2,6,5,1,3]=>[3,1,5,6,2,8,4,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[3,8,4,7,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,4,2,6,3,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,2,7,8,6,4,5,1]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,2,7,5,6,8,4,1]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[5,7,8,6,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,5,4,2,1,7,8,3]=>[8,5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[4,1,6,5,2,7,8,3]=>[8,2,5,4,3,6,7,1]=>[1,7,6,3,4,5,2,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[5,4,1,6,7,2,8,3]=>[8,6,3,4,5,2,7,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[6,8,5,3,1,7,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,2,6,3,8,7,1,4]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[8,6,1,7,3,4,2,5]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,8,3,6,7,4,2,5]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,6,3,5,2,7,8,4]=>[1,8,5,4,3,6,7,2]=>[2,7,6,3,4,5,8,1]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[1,5,7,3,2,6,4,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[5,1,3,7,2,6,4,8]=>[7,2,5,6,3,4,1,8]=>[8,1,4,3,6,5,2,7]=>[[.,[[[.,.],.],[[.,.],[.,.]]]],.]
[8,1,6,7,2,4,3,5]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,1,4,8,2,7,3,5]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,2,4,8,3,7,1,5]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[8,7,2,6,3,5,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,1,7,6,5,2,3,4]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,1,5,6,8,2,4,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,7,1,5,2,4,8,3]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[7,6,1,5,2,4,3,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[1,7,3,5,6,8,4,2]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,7,8,3,6,4,5,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,7,6,4,5,2,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,2,7,4,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,8,5,7,6,4,1,3]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[7,4,5,1,6,8,3,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,1,7,5,6,8,3,2]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[5,6,7,4,3,1,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,7,8,5,3,1,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,4,6,2,5,3,7,8]=>[1,6,5,4,3,2,7,8]=>[8,7,2,3,4,5,6,1]=>[[[[.,.],[.,[.,[.,[.,.]]]]],.],.]
[1,6,8,2,5,4,7,3]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,2,6,4,3,5,7,8]=>[1,2,6,5,4,3,7,8]=>[8,7,3,4,5,6,2,1]=>[[[[[.,.],.],[.,[.,[.,.]]]],.],.]
[1,6,8,2,7,5,4,3]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,7,4,3,2,6,8,5]=>[1,8,5,4,3,6,7,2]=>[2,7,6,3,4,5,8,1]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[1,5,4,7,2,6,8,3]=>[1,8,5,6,3,4,7,2]=>[2,7,4,3,6,5,8,1]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]
[1,3,7,6,2,8,5,4]=>[1,5,8,7,2,6,4,3]=>[3,4,6,2,7,8,5,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[1,7,6,2,8,4,3,5]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,5,2,8,4,3,7,6]=>[1,6,3,8,5,2,7,4]=>[4,7,2,5,8,3,6,1]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[1,2,8,4,3,6,5,7]=>[1,2,8,5,4,7,6,3]=>[3,6,7,4,5,8,2,1]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]
[1,2,8,5,6,3,4,7]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,3,5,2,8,6,4]=>[1,8,5,7,3,6,4,2]=>[2,4,6,3,7,5,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,6,7,2,5,8,4,3]=>[1,8,7,4,5,6,3,2]=>[2,3,6,5,4,7,8,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[1,4,5,8,2,6,3,7]=>[1,7,5,8,3,6,2,4]=>[4,2,6,3,8,5,7,1]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[1,7,6,4,8,2,5,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,4,8,6,5,2,7,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,3,8,2,6,5,4,7]=>[1,4,8,2,7,6,5,3]=>[3,5,6,7,2,8,4,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[1,7,6,3,8,2,4,5]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,5,2,7,6,4,8,3]=>[1,8,3,6,5,4,7,2]=>[2,7,4,5,6,3,8,1]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[1,2,4,3,8,7,5,6]=>[1,2,4,3,8,7,6,5]=>[5,6,7,8,3,4,2,1]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]
[1,3,8,6,2,4,5,7]=>[1,5,8,7,2,6,4,3]=>[3,4,6,2,7,8,5,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[1,7,2,4,8,6,5,3]=>[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,3,2,8,7,5,4,6]=>[1,3,2,8,7,6,5,4]=>[4,5,6,7,8,2,3,1]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]
[1,2,8,6,5,4,3,7]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[8,1,3,4,6,5,2,7]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,3,1,4,6,5,2,7]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[5,8,3,1,2,6,4,7]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[4,8,1,7,5,2,3,6]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[4,8,1,7,5,2,6,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,5,1,4,2,6,3,7]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[8,4,1,3,5,6,2,7]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[8,5,3,2,1,6,4,7]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,1,5,4,2,6,3,7]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[8,5,2,4,1,6,3,7]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,8,7,1,5,2,6,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,8,7,1,5,2,3,6]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[7,6,8,4,1,3,2,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,8,4,1,3,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,8,7,5,4,1,2,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[4,8,2,7,5,1,3,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[7,6,8,4,1,5,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,6,1,5,2,3,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,1,4,8,6,3,5,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,6,5,3,4,7,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,6,2,5,3,4,7,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,5,1,3,4,7,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,7,5,1,3,6,2,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,7,1,5,3,6,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,6,1,3,5,4,7,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,1,4,8,3,6,5,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,8,5,2,4,3,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,3,8,2,5,4,6,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,4,2,5,3,7,6,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,8,1,5,3,7,6,2]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[7,4,8,2,6,3,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,4,8,2,6,3,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,3,1,6,4,2,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,7,3,1,6,4,5,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,7,3,1,4,6,5,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,4,3,2,7,5,6,1]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[6,4,1,7,8,5,3,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,6,3,4,1,8,5,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,7,3,1,6,2,5,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,8,6,4,2,5,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,2,4,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,1,7,3,5,6,2,4]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,7,5,2,4,6,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,1,7,5,4,6,2,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,7,3,2,6,1,5,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,3,1,7,6,4,2,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[1,8,6,4,2,9,7,5,3]=>[1,9,8,7,5,6,4,3,2]=>[2,3,4,6,5,7,8,9,1]=>[[.,.],[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[9,7,5,3,1,8,6,4,2,10]=>[9,8,7,6,5,4,3,2,1,10]=>[10,1,2,3,4,5,6,7,8,9]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[8,6,4,2,1,7,5,3,9]=>[8,7,6,5,4,3,2,1,9]=>[9,1,2,3,4,5,6,7,8]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[8,7,5,3,1,6,4,2,9]=>[8,7,6,5,4,3,2,1,9]=>[9,1,2,3,4,5,6,7,8]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[7,5,3,2,1,6,4,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,6,5,3,1,4,2,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,8,6,4,3,2,7,5]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,9,7,5,3,2,8,6,4]=>[1,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,8,7,6,4,2,5,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,9,8,6,4,2,7,5,3]=>[1,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,10,8,6,4,2,9,7,5,3]=>[1,10,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[8,4,6,7,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,4,8,6,7,5,3,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,2,5,8,4,3,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,7,3,6,8,5,4,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,6,2,5,7,4,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,1,3,6,8,5,4,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,8,3,6,7,5,4,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,1,7,6,4,5,3,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,1,8,6,4,5,3,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,8,2,6,4,3,5,7]=>[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[6,5,7,2,8,3,4,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,5,7,2,8,1,4,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,2,7,5,8,1,4,3]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[6,7,2,5,8,1,4,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,5,7,3,8,1,4,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,3,7,4,8,2,5,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,3,7,4,8,1,5,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,2,7,4,8,1,5,3]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[8,7,6,4,2,5,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,4,6,2,3,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,4,5,7,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,5,1,4,3,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,8,5,1,4,3,6,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,7,6,8,3,5,1,4]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[7,2,1,5,3,8,6,4]=>[8,3,2,7,5,6,4,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[5,8,2,7,6,1,3,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,1,8,7,3,4,2,6]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[8,2,3,6,7,1,4,5]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[4,2,3,1,5,8,6,7]=>[4,3,2,1,5,8,7,6]=>[6,7,8,5,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]]
[6,3,5,1,2,4,7,8,9]=>[6,5,4,3,2,1,7,8,9]=>[9,8,7,1,2,3,4,5,6]=>[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.]
[8,6,5,4,3,2,1,7,9]=>[8,7,6,5,4,3,2,1,9]=>[9,1,2,3,4,5,6,7,8]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[3,1,2,4,5,6,7,8,9,10]=>[3,2,1,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,1,2,3]=>[[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.],.]
[6,3,5,1,2,4,7,8,9,10]=>[6,5,4,3,2,1,7,8,9,10]=>[10,9,8,7,1,2,3,4,5,6]=>[[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.],.]
[9,7,6,5,4,3,2,1,8,10]=>[9,8,7,6,5,4,3,2,1,10]=>[10,1,2,3,4,5,6,7,8,9]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[10,8,6,9,4,7,2,5,1,3]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[2,4,8,7,5,3,1,6]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[2,6,8,7,5,3,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,6,5,1,4,3,8,7]=>[4,6,5,1,3,2,8,7]=>[7,8,2,3,1,5,6,4]=>[[[.,.],[.,[[.,.],[.,.]]]],[.,.]]
[6,5,1,2,4,3,8,7]=>[6,5,3,4,2,1,8,7]=>[7,8,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]
[4,6,5,3,1,2,8,7]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[4,8,7,5,3,1,2,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[4,6,8,7,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,7,5,3,1,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,5,6,3,1,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,3,4,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,1,4,8,7,3,6,5]=>[2,1,6,8,7,3,5,4]=>[4,5,3,7,8,6,1,2]=>[[[.,[.,.]],.],[.,[[.,.],[.,.]]]]
[4,8,7,3,1,2,6,5]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[8,7,3,4,1,2,6,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,3,1,6,5,2,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,7,3,2,6,5,1,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,8,7,3,4,6,5,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,8,7,3,6,5,1,4]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[2,8,7,1,6,5,3,4]=>[4,8,7,1,6,5,3,2]=>[2,3,5,6,1,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[8,7,1,2,6,5,3,4]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[8,7,1,2,4,3,6,5]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[2,1,8,7,3,4,6,5]=>[2,1,8,7,5,6,4,3]=>[3,4,6,5,7,8,1,2]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[8,7,5,1,2,4,3,6]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,8,7,1,4,3,6,5]=>[4,8,7,1,6,5,3,2]=>[2,3,5,6,1,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[2,8,7,5,6,3,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,4,8,7,3,1,6,5]=>[6,5,8,7,2,1,4,3]=>[3,4,1,2,7,8,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]
[2,8,7,3,1,4,6,5]=>[5,8,7,4,1,6,3,2]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[2,4,3,1,8,7,5,6]=>[4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[4,3,1,2,6,8,7,5]=>[4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[2,8,7,5,6,3,1,4]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[2,8,7,5,3,1,6,4]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[2,8,7,5,3,6,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,8,7,5,6,1,4,3]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[2,6,8,7,5,1,4,3]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[6,8,7,5,1,2,4,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,5,6,1,2,4,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,1,2,4,6,5,3]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[2,4,8,7,3,6,5,1]=>[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[8,7,2,4,3,6,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,7,1,2,6,5,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,7,5,3,1,2,6,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,5,3,6,4,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,1,4,3,6,5,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,7,3,4,1,6,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,1,2,3,5,4,6,8]=>[7,2,3,4,6,5,1,8]=>[8,1,5,6,4,3,2,7]=>[[.,[[[[.,.],.],.],[.,[.,.]]]],.]
[1,9,2,3,4,5,6,8,7]=>[1,9,3,4,5,6,7,8,2]=>[2,8,7,6,5,4,3,9,1]=>[[.,.],[[[[[[.,.],.],.],.],.],[.,.]]]
[7,1,2,6,4,5,3,8]=>[7,2,3,6,5,4,1,8]=>[8,1,4,5,6,3,2,7]=>[[.,[[[.,.],.],[.,[.,[.,.]]]]],.]
[7,1,2,4,3,5,6,8]=>[7,2,3,5,4,6,1,8]=>[8,1,6,4,5,3,2,7]=>[[.,[[[[.,.],.],[.,.]],[.,.]]],.]
[4,7,3,6,5,1,2,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,5,4,2,8,3,1,6]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,3,6,1,5,2,4,7]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[3,1,6,8,5,7,2,4]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[5,7,2,1,8,4,6,3]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[7,2,8,6,4,3,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,3,8,7,4,2,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,3,2,8,4,1,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,6,1,3,2,4,5,7]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[5,8,3,7,4,2,1,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[4,1,7,3,5,8,6,2]=>[8,2,7,4,5,6,3,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[8,4,7,3,5,2,1,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,4,8,1,3,2,6,7]=>[6,5,8,4,2,1,7,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[4,5,8,2,1,3,6,7]=>[6,5,8,4,2,1,7,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[1,8,3,5,7,2,4,6]=>[1,8,6,7,5,3,4,2]=>[2,4,3,5,7,6,8,1]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[1,7,3,8,6,2,4,5]=>[1,8,6,7,5,3,4,2]=>[2,4,3,5,7,6,8,1]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[8,6,2,1,3,7,5,4]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[8,1,4,2,7,6,3,5]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[1,5,7,3,6,8,2,4]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[8,4,6,2,5,7,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,3,4,7,6,8,2,5]=>[1,7,3,8,5,6,2,4]=>[4,2,6,5,8,3,7,1]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[8,1,3,6,7,4,2,5]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,2,4,7,8,5,3,6]=>[1,2,7,8,6,5,3,4]=>[4,3,5,6,8,7,2,1]=>[[[[.,.],.],.],[.,[.,[[.,.],.]]]]
[3,1,4,7,6,8,2,5]=>[7,2,3,8,5,6,1,4]=>[4,1,6,5,8,3,2,7]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[4,1,3,7,6,8,2,5]=>[7,2,3,8,5,6,1,4]=>[4,1,6,5,8,3,2,7]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[5,1,7,3,6,8,2,4]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[6,7,8,2,4,5,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,6,2,4,7,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,8,2,6,5,7,1,4]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[2,8,3,6,7,4,1,5]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[8,7,2,5,6,3,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,1,6,4,3,2,5]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,8,2,7,5,4,3,6]=>[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[3,8,1,7,5,4,2,6]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[5,8,6,1,7,3,2,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,7,1,2,8,4,3,5]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[2,1,3,8,6,5,4,7]=>[2,1,3,8,7,6,5,4]=>[4,5,6,7,8,3,1,2]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]
[8,2,1,7,5,4,3,6]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[1,3,2,8,6,5,4,7]=>[1,3,2,8,7,6,5,4]=>[4,5,6,7,8,2,3,1]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]
[3,4,1,7,6,8,2,5]=>[7,3,2,8,5,6,1,4]=>[4,1,6,5,8,2,3,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[2,5,7,1,8,4,3,6]=>[4,7,8,1,6,5,2,3]=>[3,2,5,6,1,8,7,4]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]
[3,5,7,1,6,8,2,4]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[4,5,7,6,1,8,2,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,4,7,6,8,3,1,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,5,7,8,6,3,2,4]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,4,6,7,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,3,7,5,6,2,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,4,8,6,7,3,2,5]=>[1,7,8,6,5,4,2,3]=>[3,2,4,5,6,8,7,1]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[2,4,8,6,7,3,1,5]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[5,2,7,8,6,3,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,3,8,7,5,4,1,6]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[1,3,8,7,5,4,2,6]=>[1,7,8,6,5,4,2,3]=>[3,2,4,5,6,8,7,1]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[8,2,7,6,4,3,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,1,7,6,4,3,2,5]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,1,8,6,7,3,2,5]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[4,8,7,5,6,2,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,6,8,1,7,4,3,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,6,9,8,7,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,4,9,8,7,6,5,3,2]=>[1,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,3,9,8,7,6,5,4,2]=>[1,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,8,10,9,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[1,7,10,9,8,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[5,6,9,8,1,7,4,3,2]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[4,1,8,7,3,6,5,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,6,8,4,1,7,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,4,9,8,7,1,6,3,2]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[1,5,10,9,8,7,6,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[4,5,8,7,3,1,6,2]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[1,4,10,9,8,7,6,5,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[1,9,11,10,8,7,6,5,4,3,2]=>[1,11,10,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,10,11,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[1,7,6,9,8,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,8,11,10,9,7,6,5,4,3,2]=>[1,11,10,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,10,11,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[1,6,9,5,8,7,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,10,9,1,8,5,4,3,2]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[3,1,8,4,7,6,5,2]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[5,1,9,8,4,7,6,3,2]=>[9,2,8,7,6,5,4,3,1]=>[1,3,4,5,6,7,8,2,9]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,9,5,1,8,4,3,2]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[6,5,10,9,8,1,7,4,3,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[1,6,11,10,9,8,7,5,4,3,2]=>[1,11,10,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,10,11,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[1,4,9,8,7,3,6,5,2]=>[1,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,6,9,8,4,1,7,3,2]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[4,5,10,9,8,7,1,6,3,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[1,5,11,10,9,8,7,6,4,3,2]=>[1,11,10,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,10,11,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[1,5,8,4,3,7,6,2]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[3,4,9,8,7,6,2,1,5]=>[8,7,9,6,5,4,2,1,3]=>[3,1,2,4,5,6,9,7,8]=>[[.,[.,.]],[.,[.,[.,[[.,[.,.]],.]]]]]
[1,3,11,10,9,8,7,6,5,4,2]=>[1,11,10,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,10,11,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,1,7,2,5,6,4,3]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,1,3,5,2,7,6,4]=>[8,2,5,7,3,6,4,1]=>[1,4,6,3,7,5,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[2,7,1,5,4,8,6,3]=>[3,8,1,7,5,6,4,2]=>[2,4,6,5,7,1,8,3]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[8,6,2,4,3,7,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,4,1,6,7,5,8,3]=>[3,8,1,6,5,4,7,2]=>[2,7,4,5,6,1,8,3]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[8,1,4,5,6,3,7,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,4,5,6,2,7,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,4,7,6,2,5,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,5,1,7,8,6,4,3]=>[3,8,1,7,6,5,4,2]=>[2,4,5,6,7,1,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[3,5,6,2,8,7,4,1]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[7,3,1,5,6,4,2,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[8,3,2,5,6,7,1,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,4,5,3,7,6,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,4,5,6,2,8,1,7]=>[7,5,3,4,2,8,1,6]=>[6,1,8,2,4,3,5,7]=>[[.,[.,[[.,.],[.,.]]]],[[.,.],.]]
[3,7,4,2,8,5,1,6]=>[7,8,4,3,6,5,1,2]=>[2,1,5,6,3,4,8,7]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]
[7,3,4,1,6,8,2,5]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[2,6,3,1,4,7,5,8]=>[4,7,3,1,5,6,2,8]=>[8,2,6,5,1,3,7,4]=>[[[.,.],[[[.,[.,.]],.],[.,.]]],.]
[7,3,4,1,6,5,8,2]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[3,7,4,2,5,8,6,1]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[3,8,7,1,4,5,2,6]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[3,7,4,2,1,8,6,5]=>[5,8,4,3,1,7,6,2]=>[2,6,7,1,3,4,8,5]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[4,8,5,7,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,5,7,3,2,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,3,7,2,4,1,5,6]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[8,6,7,2,1,4,3,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,3,7,5,1,2,6,4]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[7,3,4,6,2,1,5,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[3,7,4,6,1,5,2,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[3,4,7,6,1,2,8,5]=>[6,5,8,4,2,1,7,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[4,5,8,7,6,1,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,3,7,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,3,5,6,1,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,3,8,1,4,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,2,7,6,1,3,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,3,1,4,5,2,6]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,4,7,2,1,5,8,3]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,4,2,5,1,6,7,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,5,3,1,6,4,7,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,7,3,1,4,5,6,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,7,4,1,5,6,2,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,6,4,1,7,5,2,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,6,3,1,7,4,5,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,5,3,1,6,7,4,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,5,3,7,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,3,8,1,4,2,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,4,8,2,6,1,5,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,4,7,3,1,5,2,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,5,3,1,6,4,2,7]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,7,4,1,5,2,3,6]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,7,5,1,2,6,3,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,6,4,1,2,7,5,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,7,4,1,2,5,3,6]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,7,5,1,2,3,6,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,5,3,7,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,7,2,5,3,6,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,8,3,4,5,2,6,7]=>[1,8,6,4,5,3,7,2]=>[2,7,3,5,4,6,8,1]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[1,8,6,4,2,5,3,7]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,2,6,4,1,5,7,3]=>[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[7,8,3,4,6,1,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,7,5,3,1,6,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,1,4,8,3,2,5,7]=>[7,2,6,8,5,3,1,4]=>[4,1,3,5,8,6,2,7]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]
[8,1,6,4,2,7,3,5]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,1,7,4,2,5,8,6]=>[5,2,8,4,1,6,7,3]=>[3,7,6,1,4,8,2,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[6,1,8,5,2,4,3,7]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[6,8,2,5,1,4,7,3]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[7,2,8,6,5,1,4,3]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[7,4,8,6,1,5,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,2,6,1,4,5,3]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[1,7,8,6,2,4,3,5]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,3,1,2,5,4,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,5,3,1,2,4,7,6]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,2,1,6,5,3,4,7]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[3,8,1,5,6,2,4,7]=>[6,8,3,7,5,1,4,2]=>[2,4,1,5,7,3,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[6,8,4,1,5,2,3,7]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[3,2,8,1,6,4,5,7]=>[4,2,8,1,7,6,5,3]=>[3,5,6,7,1,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[5,2,1,3,7,6,4,8]=>[7,3,2,4,6,5,1,8]=>[8,1,5,6,4,2,3,7]=>[[.,[[[.,[.,.]],.],[.,[.,.]]]],.]
[5,4,1,2,8,3,7,6]=>[6,4,3,2,8,1,7,5]=>[5,7,1,8,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[5,8,4,1,2,3,7,6]=>[6,8,5,4,3,1,7,2]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[7,1,2,5,3,4,6,8]=>[7,2,3,6,5,4,1,8]=>[8,1,4,5,6,3,2,7]=>[[.,[[[.,.],.],[.,[.,[.,.]]]]],.]
[1,6,7,3,2,8,4,5]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,8,6,3,2,7,4,5]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,5,3,7,2,8,4,6]=>[1,7,5,8,3,6,2,4]=>[4,2,6,3,8,5,7,1]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[1,4,6,2,8,5,3,7]=>[1,7,6,4,8,3,2,5]=>[5,2,3,8,4,6,7,1]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]
[1,5,6,2,8,4,3,7]=>[1,7,6,4,8,3,2,5]=>[5,2,3,8,4,6,7,1]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]
[2,4,6,3,1,7,5,8]=>[5,4,7,2,1,6,3,8]=>[8,3,6,1,2,7,4,5]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[3,4,8,6,5,7,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,2,4,7,3,6,5,8]=>[1,2,5,7,3,6,4,8]=>[8,4,6,3,7,5,2,1]=>[[[[[.,.],.],.],[[.,.],[.,.]]],.]
[1,2,5,7,4,3,6,8]=>[1,2,6,7,5,3,4,8]=>[8,4,3,5,7,6,2,1]=>[[[[[.,.],.],.],[.,[[.,.],.]]],.]
[1,2,4,7,6,8,3,5]=>[1,2,7,8,5,6,3,4]=>[4,3,6,5,8,7,2,1]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]
[3,5,8,6,1,7,2,4]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[2,3,6,8,1,7,4,5]=>[5,2,8,7,1,6,4,3]=>[3,4,6,1,7,8,2,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[2,3,7,1,8,6,4,5]=>[4,2,8,1,7,6,5,3]=>[3,5,6,7,1,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[2,6,1,7,8,5,3,4]=>[3,8,1,7,6,5,4,2]=>[2,4,5,6,7,1,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[2,4,8,5,6,7,1,3]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[1,4,8,5,6,7,3,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,2,1,6,8,4,7,5]=>[3,2,1,8,7,6,5,4]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[4,8,3,1,6,5,7,2]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[1,6,8,5,4,2,7,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,5,8,4,2,1,7,3]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[1,7,8,6,5,4,2,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,8,7,4,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,1,3,5,4,2,8,7]=>[6,2,5,4,3,1,8,7]=>[7,8,1,3,4,5,2,6]=>[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]
[3,6,4,2,5,1,8,7]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[2,1,5,8,6,4,7,3]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[4,2,8,5,6,3,7,1]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[5,3,7,2,6,8,4,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,7,2,3,4,6,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[1,8,7,3,2,5,6,4]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[5,7,1,2,3,8,6,4]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[7,8,6,2,4,1,5,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,2,8,4,6,1,5,3]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[7,4,6,2,8,1,5,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,1,5,8,2,3,6,4]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,6,4,8,2,1,5,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,1,8,4,2,3,5,7]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[7,3,6,2,1,8,5,4]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[1,8,6,4,2,5,7,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,2,1,8,4,7,3]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[2,8,1,6,5,7,3,4]=>[3,8,1,7,6,5,4,2]=>[2,4,5,6,7,1,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[5,4,6,8,1,3,7,2]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[3,7,1,6,4,5,8,2]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[1,3,8,7,5,4,6,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,2,3,4,5,7,9,8,6]=>[1,2,3,4,5,9,8,7,6]=>[6,7,8,9,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],[.,[.,[.,.]]]]
[1,2,3,4,6,8,9,7,5]=>[1,2,3,4,9,8,7,6,5]=>[5,6,7,8,9,4,3,2,1]=>[[[[[.,.],.],.],.],[.,[.,[.,[.,.]]]]]
[1,2,3,4,6,9,8,7,5]=>[1,2,3,4,9,8,7,6,5]=>[5,6,7,8,9,4,3,2,1]=>[[[[[.,.],.],.],.],[.,[.,[.,[.,.]]]]]
[1,2,3,5,7,9,8,6,4]=>[1,2,3,9,8,7,6,5,4]=>[4,5,6,7,8,9,3,2,1]=>[[[[.,.],.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,2,3,5,9,8,7,6,4]=>[1,2,3,9,8,7,6,5,4]=>[4,5,6,7,8,9,3,2,1]=>[[[[.,.],.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,2,4,6,9,8,7,5,3]=>[1,2,9,8,7,6,5,4,3]=>[3,4,5,6,7,8,9,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,2,4,9,8,7,6,5,3]=>[1,2,9,8,7,6,5,4,3]=>[3,4,5,6,7,8,9,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,3,5,7,9,8,6,4,2]=>[1,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,3,5,9,8,7,6,4,2]=>[1,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,2,3,4,5,6,8,10,9,7]=>[1,2,3,4,5,6,10,9,8,7]=>[7,8,9,10,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],[.,[.,[.,.]]]]
[1,2,3,4,5,7,9,10,8,6]=>[1,2,3,4,5,10,9,8,7,6]=>[6,7,8,9,10,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],[.,[.,[.,[.,.]]]]]
[1,2,3,4,5,7,10,9,8,6]=>[1,2,3,4,5,10,9,8,7,6]=>[6,7,8,9,10,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],[.,[.,[.,[.,.]]]]]
[1,2,3,4,6,8,10,9,7,5]=>[1,2,3,4,10,9,8,7,6,5]=>[5,6,7,8,9,10,4,3,2,1]=>[[[[[.,.],.],.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,2,3,4,6,10,9,8,7,5]=>[1,2,3,4,10,9,8,7,6,5]=>[5,6,7,8,9,10,4,3,2,1]=>[[[[[.,.],.],.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,2,3,5,7,9,10,8,6,4]=>[1,2,3,10,9,8,7,6,5,4]=>[4,5,6,7,8,9,10,3,2,1]=>[[[[.,.],.],.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,2,3,5,7,10,9,8,6,4]=>[1,2,3,10,9,8,7,6,5,4]=>[4,5,6,7,8,9,10,3,2,1]=>[[[[.,.],.],.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,2,3,5,10,9,8,7,6,4]=>[1,2,3,10,9,8,7,6,5,4]=>[4,5,6,7,8,9,10,3,2,1]=>[[[[.,.],.],.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,2,4,6,10,9,8,7,5,3]=>[1,2,10,9,8,7,6,5,4,3]=>[3,4,5,6,7,8,9,10,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,2,4,10,9,8,7,6,5,3]=>[1,2,10,9,8,7,6,5,4,3]=>[3,4,5,6,7,8,9,10,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,3,5,7,9,10,8,6,4,2]=>[1,10,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[1,3,5,7,10,9,8,6,4,2]=>[1,10,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[1,3,5,10,9,8,7,6,4,2]=>[1,10,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[1,3,10,9,8,7,6,5,4,2]=>[1,10,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[6,7,3,4,8,5,1,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,4,1,8,2,5,6,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,4,1,7,2,8,5,3]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[7,3,1,6,2,8,5,4]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[4,8,2,5,3,1,6,7]=>[6,8,5,4,3,1,7,2]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[6,1,4,5,7,8,2,3]=>[8,2,7,4,5,6,3,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[6,3,4,7,1,8,5,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,8,5,1,3,4,6,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,1,3,4,5,6,8,2]=>[8,2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[8,5,2,7,6,3,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,8,3,5,6,2,7,4]=>[1,8,6,7,5,3,4,2]=>[2,4,3,5,7,6,8,1]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[8,3,2,5,6,1,7,4]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[5,4,2,7,8,6,1,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,8,7,2,1,3,4,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,7,6,8,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,7,8,5,2,6,3,4]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,1,2,5,3,8,4]=>[8,6,3,4,5,2,7,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[5,8,7,2,6,3,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,2,4,8,1,5,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,5,7,3,8,6,2,4]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,5,1,8,2,3,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,6,1,2,4,3,8,5]=>[8,6,3,4,5,2,7,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[6,7,2,1,5,3,8,4]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[4,3,2,8,7,1,6,5]=>[6,3,2,8,7,1,5,4]=>[4,5,1,7,8,2,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]
[4,8,3,2,7,1,6,5]=>[6,8,4,3,7,1,5,2]=>[2,5,1,7,3,4,8,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[4,8,3,1,7,6,5,2]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[5,3,8,7,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,7,3,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,3,8,2,1,7,6,4]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[3,8,7,2,6,5,1,4]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[7,4,1,8,6,5,3,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,4,2,8,1,7,6,3]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[5,8,4,2,1,7,6,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,8,4,7,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,4,8,3,1,7,6,2]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[8,5,6,1,4,7,2,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,7,4,1,2,5,8,3]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,6,7,5,8,1,2,4]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[1,6,7,5,8,3,2,4]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,8,6,5,7,4,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,1,6,5,7,4,3,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,2,1,6,8,4,7,3]=>[8,3,2,6,7,4,5,1]=>[1,5,4,7,6,2,3,8]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]
[6,5,8,7,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,5,7,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,6,7,5,8,2,1,4]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[4,7,5,3,8,1,2,6]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[4,7,5,3,6,1,2,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,7,5,3,1,6,2,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[2,7,5,3,6,4,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,7,5,3,8,1,6,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,7,5,8,6,3,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,7,5,6,8,3,4,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,7,5,6,8,3,1,4]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[4,7,5,3,6,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,7,5,6,3,8,4,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,7,5,3,6,8,1,4]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[8,7,5,3,1,4,6,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,7,5,3,1,4,8,6]=>[5,8,6,4,1,3,7,2]=>[2,7,3,1,4,6,8,5]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]
[2,7,5,3,4,8,6,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,7,6,2,8,3,1,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,1,6,3,2,4,8,7]=>[6,2,5,4,3,1,8,7]=>[7,8,1,3,4,5,2,6]=>[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]
[5,7,6,1,8,3,2,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,8,7,2,1,5,4,6]=>[5,8,7,4,1,6,3,2]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[6,1,7,2,8,4,3,5]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[4,8,5,6,7,3,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,7,6,2,8,5,1,4]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[6,1,7,3,8,5,2,4]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,1,8,3,2,5,4,6]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[2,7,8,3,1,5,4,6]=>[5,8,7,4,1,6,3,2]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[4,8,5,6,7,2,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,6,2,7,4,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,4,6,7,8,5,1,3]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[4,7,6,2,8,5,1,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,8,7,3,2,4,1,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[4,6,5,8,7,3,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,3,1,7,2,6,4,5]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[5,6,1,2,8,3,7,4]=>[8,6,3,4,7,2,5,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[5,8,7,1,6,2,4,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,4,5,1,7,6,2,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,3,1,4,8,2,7,5]=>[8,6,3,4,7,2,5,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[8,5,6,1,7,2,4,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,5,6,1,3,8,4,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,7,6,1,3,8,4,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,7,1,4,2,8,5,3]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[2,1,6,4,8,3,7,5]=>[2,1,8,6,7,4,5,3]=>[3,5,4,7,6,8,1,2]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[7,4,5,1,3,8,6,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[1,5,7,8,4,2,3,6]=>[1,7,8,6,5,4,2,3]=>[3,2,4,5,6,8,7,1]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[1,3,6,4,2,5,7,8]=>[1,5,6,4,2,3,7,8]=>[8,7,3,2,4,6,5,1]=>[[[[[.,.],.],[.,[[.,.],.]]],.],.]
[1,4,5,7,8,3,6,2]=>[1,8,6,7,5,3,4,2]=>[2,4,3,5,7,6,8,1]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[1,5,7,8,3,6,2,4]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,5,7,8,2,4,3,6]=>[1,7,8,6,5,4,2,3]=>[3,2,4,5,6,8,7,1]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[6,8,4,7,3,2,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,5,4,2,7,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,8,4,6,3,2,7,5]=>[1,8,6,7,5,3,4,2]=>[2,4,3,5,7,6,8,1]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[6,4,8,5,3,2,1,7]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[3,5,6,1,4,2,7,8]=>[6,5,4,3,2,1,7,8]=>[8,7,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[1,6,3,8,4,2,7,5]=>[1,8,6,7,5,3,4,2]=>[2,4,3,5,7,6,8,1]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[2,6,5,7,8,3,1,4]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[4,1,8,2,6,7,5,3]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[3,6,7,8,2,1,4,5]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[2,5,7,1,6,3,4,8]=>[4,7,6,1,5,3,2,8]=>[8,2,3,5,1,6,7,4]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[4,2,8,3,6,5,1,7]=>[7,4,8,2,6,5,1,3]=>[3,1,5,6,2,8,4,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[6,3,8,7,2,4,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,1,8,2,4,5,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,5,6,3,4,8,1,7]=>[7,5,4,3,2,8,1,6]=>[6,1,8,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[5,2,4,7,8,6,1,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,4,5,7,1,8,6,3]=>[5,8,3,7,1,6,4,2]=>[2,4,6,1,7,3,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[8,1,6,2,3,4,7,5]=>[8,2,7,4,5,6,3,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[6,1,4,2,5,7,8,3]=>[8,2,5,4,3,6,7,1]=>[1,7,6,3,4,5,2,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[1,6,7,2,4,3,5,8]=>[1,7,6,4,5,3,2,8]=>[8,2,3,5,4,6,7,1]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[1,8,3,4,5,2,7,6]=>[1,8,6,4,5,3,7,2]=>[2,7,3,5,4,6,8,1]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[1,8,3,6,4,7,2,5]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,4,7,2,5,6,3,8]=>[1,7,6,4,5,3,2,8]=>[8,2,3,5,4,6,7,1]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[7,3,5,8,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,4,8,6,7,2,1,5]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[3,4,8,2,5,1,7,6]=>[6,4,8,2,5,1,7,3]=>[3,7,1,5,2,8,4,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[1,7,2,5,8,4,3,6]=>[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,4,6,7,8,3,5,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,7,5,1,6,8,4,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,8,7,4,6,2,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,7,1,5,3,4,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,7,8,4,6,5,1,3]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[3,7,8,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,7,5,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,8,7,4,6,1,5,3]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[4,8,7,2,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,7,8,5,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,4,8,1,5,7,3,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,6,8,3,5,2,7,4]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,5,8,6,3,7,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,6,7,8,4,5,1,3]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[6,1,2,8,4,7,5,3]=>[8,2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[4,7,1,8,5,6,3,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,7,1,8,2,6,4,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,2,1,8,6,4,5,3]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[5,3,8,4,7,6,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,5,8,1,7,4,6,3]=>[4,8,7,1,6,5,3,2]=>[2,3,5,6,1,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[4,5,8,3,7,6,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,7,2,8,6,4,5,3]=>[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[3,5,7,8,1,6,2,4]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[2,4,7,8,5,6,1,3]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[4,1,7,8,5,6,3,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,5,8,6,4,7,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,4,8,5,7,6,1,3]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[2,6,3,8,5,1,7,4]=>[6,8,3,7,5,1,4,2]=>[2,4,1,5,7,3,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[4,1,5,8,6,7,3,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,3,4,7,6,1,2,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[6,2,1,4,8,3,7,5]=>[8,3,2,6,7,4,5,1]=>[1,5,4,7,6,2,3,8]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]
[2,8,5,4,1,3,7,6]=>[5,8,6,4,1,3,7,2]=>[2,7,3,1,4,6,8,5]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]
[4,2,8,7,1,3,5,6]=>[6,5,8,7,2,1,4,3]=>[3,4,1,2,7,8,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]
[5,4,6,3,1,7,2,8]=>[7,5,4,3,2,6,1,8]=>[8,1,6,2,3,4,5,7]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[4,3,6,5,1,8,2,7]=>[7,5,4,3,2,8,1,6]=>[6,1,8,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[1,5,6,8,7,3,2,4]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,3,8,6,4,7,2,5]=>[1,7,8,6,5,4,2,3]=>[3,2,4,5,6,8,7,1]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[1,2,8,6,4,3,7,5]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[6,5,1,8,7,3,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,1,7,6,8,3,2,5]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[8,1,4,5,7,3,2,6]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,8,4,7,6,2,3,5]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,3,2,6,1,7,4,5]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[1,6,3,7,4,5,2,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[2,6,3,7,4,8,5,1]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[4,6,1,7,8,2,5,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,2,3,8,4,5,6,1]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,2,6,7,8,3,4,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,5,8,1,2,7,4,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,5,1,8,7,2,4,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,8,4,3,7,2,1,6]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[6,1,2,8,7,3,4,5]=>[8,2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[7,3,2,8,4,6,1,5]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,5,1,7,6,2,8,3]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[7,2,6,8,3,5,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,1,7,6,2,5,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,2,8,6,5,3,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,1,8,7,6,5,2,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,6,5,2,8,4,3,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,5,1,8,7,4,3,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,5,1,8,6,4,3,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,5,1,7,6,4,3,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,5,3,7,6,1,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,8,7,6,1,5,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,3,7,5,4,1,6,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,4,8,1,5,2,6,7]=>[6,4,8,2,5,1,7,3]=>[3,7,1,5,2,8,4,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[8,6,5,7,1,3,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,5,8,6,2,7,4,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,1,8,5,7,2,6,4]=>[6,2,8,7,5,1,4,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[6,8,5,3,4,2,1,7]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[8,5,2,6,4,3,1,7]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,4,5,2,1,7,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,2,6,1,4,7,3]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[2,7,5,8,1,4,6,3]=>[5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[3,2,6,7,1,8,5,4]=>[5,2,8,7,1,6,4,3]=>[3,4,6,1,7,8,2,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[3,2,6,7,8,4,1,5]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[6,2,7,4,8,5,1,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,7,1,3,8,5,4,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,7,1,8,5,2,4,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,2,6,7,8,5,3,4]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,6,7,4,8,3,2,5]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,4,6,7,8,3,2,5]=>[1,7,8,6,5,4,2,3]=>[3,2,4,5,6,8,7,1]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[6,1,2,4,5,3,7,8]=>[6,2,3,5,4,1,7,8]=>[8,7,1,4,5,3,2,6]=>[[[.,[[[.,.],.],[.,[.,.]]]],.],.]
[8,1,7,3,2,6,4,5]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[5,4,1,2,3,6,7,8,9]=>[5,4,3,2,1,6,7,8,9]=>[9,8,7,6,1,2,3,4,5]=>[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.]
[7,3,4,6,1,2,5,8,9]=>[7,6,5,4,3,2,1,8,9]=>[9,8,1,2,3,4,5,6,7]=>[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.]
[6,8,5,1,7,2,3,4,9]=>[8,7,6,4,5,3,2,1,9]=>[9,1,2,3,5,4,6,7,8]=>[[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]],.]
[8,3,4,5,7,1,2,6,9]=>[8,7,6,4,5,3,2,1,9]=>[9,1,2,3,5,4,6,7,8]=>[[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]],.]
[7,9,4,6,1,8,2,3,5]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[5,4,1,2,3,6,7,8,9,10]=>[5,4,3,2,1,6,7,8,9,10]=>[10,9,8,7,6,1,2,3,4,5]=>[[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.],.]
[7,3,4,6,1,2,5,8,9,10]=>[7,6,5,4,3,2,1,8,9,10]=>[10,9,8,1,2,3,4,5,6,7]=>[[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.],.]
[7,9,4,6,1,8,2,3,5,10]=>[9,8,7,6,5,4,3,2,1,10]=>[10,1,2,3,4,5,6,7,8,9]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[8,10,4,5,7,1,9,2,3,6]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,7,2,1,5,4,6,3]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[2,7,4,8,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,5,2,4,1,8,3]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,6,4,3,1,5,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,1,8,7,2,3,5,4]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,6,1,2,7,3,4,5]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[2,8,6,1,4,5,7,3]=>[4,8,7,1,6,5,3,2]=>[2,3,5,6,1,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[6,8,7,2,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,2,6,4,8,7,5,1]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[4,7,2,8,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,7,1,8,6,5,3,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,7,4,8,3,6,1,5]=>[7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[4,7,3,8,6,1,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,3,6,8,7,2,5,1]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[4,3,8,2,5,7,6,1]=>[8,4,7,2,5,6,3,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[4,1,2,6,8,7,5,3]=>[8,2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[4,1,6,8,7,5,2,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,8,1,4,5,7,2,6]=>[7,8,3,4,5,6,1,2]=>[2,1,6,5,4,3,8,7]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]
[3,8,1,4,2,5,7,6]=>[5,8,3,4,1,6,7,2]=>[2,7,6,1,4,3,8,5]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]
[4,1,8,3,5,2,7,6]=>[6,2,8,4,5,1,7,3]=>[3,7,1,5,4,8,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[4,2,3,6,8,7,1,5]=>[7,3,2,8,6,5,1,4]=>[4,1,5,6,8,2,3,7]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]
[4,2,8,3,5,1,7,6]=>[6,4,8,2,5,1,7,3]=>[3,7,1,5,2,8,4,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[4,2,8,3,5,7,6,1]=>[8,4,7,2,5,6,3,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[3,8,2,4,5,7,6,1]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[3,8,2,5,1,4,7,6]=>[5,8,3,6,1,4,7,2]=>[2,7,4,1,6,3,8,5]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]
[3,8,1,5,2,4,7,6]=>[5,8,3,6,1,4,7,2]=>[2,7,4,1,6,3,8,5]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]
[7,5,6,4,1,3,2,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,8,6,4,1,3,2,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,1,4,2,5,6,3,8]=>[7,2,6,4,5,3,1,8]=>[8,1,3,5,4,6,2,7]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[7,3,2,1,4,6,5,8]=>[7,4,3,2,5,6,1,8]=>[8,1,6,5,2,3,4,7]=>[[.,[[[.,[.,[.,.]]],.],[.,.]]],.]
[7,6,1,4,3,2,5,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[7,4,1,3,5,6,2,8]=>[7,6,3,4,5,2,1,8]=>[8,1,2,5,4,3,6,7]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[3,6,2,1,5,8,7,4]=>[4,8,3,1,5,7,6,2]=>[2,6,7,5,1,3,8,4]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]
[3,4,7,1,5,6,8,2]=>[8,4,6,2,5,3,7,1]=>[1,7,3,5,2,6,4,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[3,6,7,4,1,2,8,5]=>[6,8,5,4,3,1,7,2]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[4,3,2,7,1,6,8,5]=>[5,3,2,8,1,6,7,4]=>[4,7,6,1,8,2,3,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[7,3,2,8,1,6,4,5]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[7,4,8,1,5,6,3,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,6,8,1,5,3,7,4]=>[4,8,7,1,6,5,3,2]=>[2,3,5,6,1,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[6,8,2,1,5,3,7,4]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[4,8,2,5,3,6,7,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,5,8,2,3,6,7,1]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[2,4,8,5,3,6,7,1]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[2,4,5,3,8,6,7,1]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[4,3,5,2,8,6,7,1]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[4,8,5,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,5,4,2,8,6,7,1]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[5,6,7,4,2,8,3,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,5,7,4,6,8,3,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,5,2,4,3,8,6,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,8,1,2,5,4,7,3]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[6,4,1,8,5,2,7,3]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[2,6,1,8,5,4,7,3]=>[3,8,1,7,6,5,4,2]=>[2,4,5,6,7,1,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,2,8,5,6,4,3]=>[8,2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[4,3,2,6,8,5,7,1]=>[8,3,2,6,7,4,5,1]=>[1,5,4,7,6,2,3,8]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]
[3,7,6,4,8,5,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,1,6,8,5,4,7,2]=>[8,2,6,7,5,3,4,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[2,3,5,8,4,6,7,1]=>[8,2,5,7,3,6,4,1]=>[1,4,6,3,7,5,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[3,5,2,8,4,6,7,1]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[3,4,5,8,2,6,7,1]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[5,4,2,8,3,6,7,1]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[5,3,4,8,2,6,7,1]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[2,5,4,8,3,6,7,1]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[6,3,2,5,8,4,7,1]=>[8,6,3,4,7,2,5,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[6,1,8,3,5,4,7,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,4,8,3,2,6,7,1]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[5,8,2,3,4,6,7,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,2,1,7,8,5,4,3]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[7,4,6,8,3,2,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,4,5,2,7,1,6,8]=>[6,4,3,2,7,1,5,8]=>[8,5,1,7,2,3,4,6]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[7,5,6,1,2,3,8,4]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,4,6,7,3,2,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,6,2,3,1,5,7]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[7,5,2,1,4,3,8,6]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[3,1,7,8,5,4,2,6]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[3,4,5,2,1,8,6,7]=>[5,4,3,2,1,8,7,6]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[7,6,4,8,3,1,2,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,4,8,5,6,1,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,2,8,5,1,3,4,7]=>[7,5,8,6,2,4,1,3]=>[3,1,4,2,6,8,5,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[3,2,7,8,6,1,4,5]=>[6,2,8,7,5,1,4,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[6,8,2,5,1,3,7,4]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[6,7,4,2,1,5,3,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,7,4,1,3,6,2,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,2,7,5,1,8,3,6]=>[7,5,8,4,2,6,1,3]=>[3,1,6,2,4,8,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[4,1,6,5,3,8,2,7]=>[7,2,5,4,3,8,1,6]=>[6,1,8,3,4,5,2,7]=>[[.,[[.,.],[.,[.,.]]]],[[.,.],.]]
[1,8,6,4,7,3,2,5]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,1,8,6,3,5,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,4,8,1,7,3,6,2]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[4,3,8,6,2,1,7,5]=>[6,5,8,7,2,1,4,3]=>[3,4,1,2,7,8,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]
[8,3,6,2,4,1,7,5]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[7,8,3,2,4,6,5,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,2,8,5,3,1,6,4]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[2,5,4,8,7,3,6,1]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[6,4,2,8,7,3,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,6,8,1,7,4,2,5]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[7,8,6,3,1,4,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,8,6,1,7,5,2,4]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[2,7,5,4,8,3,1,6]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[6,8,7,5,2,1,3,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,2,8,5,1,3,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,5,7,6,2,8,4,3]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,6,5,2,7,8,4,3]=>[1,8,7,4,5,6,3,2]=>[2,3,6,5,4,7,8,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[4,7,8,5,6,2,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,7,8,5,6,1,4,3]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[6,7,8,4,2,1,5,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,7,8,1,2,5,6,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,6,4,1,2,5,7,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,1,4,7,2,5,8,3]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[6,7,8,3,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,8,2,1,5,3,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,6,3,2,7,4,1,8]=>[7,6,4,3,5,2,1,8]=>[8,1,2,5,3,4,6,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[2,6,4,3,7,5,8,1]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[7,2,3,6,1,8,4,5]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[3,4,6,5,7,1,2,8]=>[7,6,4,3,5,2,1,8]=>[8,1,2,5,3,4,6,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[7,6,2,3,5,4,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,5,2,4,3,6,1,7]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,5,7,2,4,1,6,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,4,8,2,1,5,6,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,3,6,7,8,5,1,4]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[8,3,7,1,6,4,2,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,2,1,7,6,5,3,4]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[5,7,4,1,6,8,2,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,6,8,1,3,7,2,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,7,4,8,6,1,2,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[1,6,8,5,3,2,4,7]=>[1,7,8,6,5,4,2,3]=>[3,2,4,5,6,8,7,1]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[5,8,1,6,7,4,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,2,8,4,6,1,3,5]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[6,2,7,4,3,8,1,5]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[1,7,8,4,6,2,3,5]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,1,8,4,6,2,3,5]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,6,5,4,7,2,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,1,6,8,7,3,2,5]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[5,1,4,6,7,3,8,2]=>[8,2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[7,1,3,4,6,2,8,5]=>[8,2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[4,7,2,8,5,3,1,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[8,7,1,4,6,3,2,5]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,5,2,8,4,7,1,3]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[1,4,7,5,8,6,3,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,1,8,3,4,7,2,5]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,8,6,3,5,2,7,4]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,8,1,3,5,4,2,6]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,7,1,6,8,3,5,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,6,5,2,8,4,1,7]=>[7,6,4,3,8,2,1,5]=>[5,1,2,8,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[8,2,5,6,3,1,7,4]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[7,1,8,4,2,5,3,6]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,4,8,7,5,2,6,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,5,6,4,2,3,7,8]=>[1,6,5,4,3,2,7,8]=>[8,7,2,3,4,5,6,1]=>[[[[.,.],[.,[.,[.,[.,.]]]]],.],.]
[5,7,3,6,8,4,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,8,7,4,2,1,3,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[3,1,5,2,7,8,6,4]=>[4,2,8,1,7,6,5,3]=>[3,5,6,7,1,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[1,8,7,3,2,5,4,6]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,2,5,4,8,7,3,6]=>[1,2,7,4,8,6,3,5]=>[5,3,6,8,4,7,2,1]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]
[1,2,4,8,6,3,5,7]=>[1,2,6,8,7,3,5,4]=>[4,5,3,7,8,6,2,1]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]
[1,5,2,4,7,3,8,6]=>[1,6,3,4,8,2,7,5]=>[5,7,2,8,4,3,6,1]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]
[8,6,3,5,7,4,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,3,2,1,4,7,6]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[1,2,7,6,8,4,3,5]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,6,3,2,5,7,8,4]=>[1,8,4,3,5,6,7,2]=>[2,7,6,5,3,4,8,1]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]
[1,7,3,4,2,6,8,5]=>[1,8,5,4,3,6,7,2]=>[2,7,6,3,4,5,8,1]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[1,6,3,5,8,4,2,7]=>[1,7,6,4,8,3,2,5]=>[5,2,3,8,4,6,7,1]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]
[1,2,5,8,4,6,3,7]=>[1,2,7,8,5,6,3,4]=>[4,3,6,5,8,7,2,1]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]
[1,5,3,2,7,8,4,6]=>[1,7,4,3,8,6,2,5]=>[5,2,6,8,3,4,7,1]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]
[4,1,8,6,2,3,7,5]=>[6,2,8,7,5,1,4,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[7,5,8,6,2,3,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,7,6,4,3,8,5,2]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,8,5,7,6,3,2,4]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,4,7,3,6,8,5,2]=>[1,8,7,4,5,6,3,2]=>[2,3,6,5,4,7,8,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[1,6,3,5,7,8,4,2]=>[1,8,7,4,5,6,3,2]=>[2,3,6,5,4,7,8,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[1,5,6,3,2,7,8,4]=>[1,8,5,4,3,6,7,2]=>[2,7,6,3,4,5,8,1]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[1,2,7,6,8,4,5,3]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,8,4,7,5,3,2,6]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,8,5,2,1,7,4,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,2,6,8,4,3,7,5]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[5,3,7,2,6,4,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,3,8,2,6,1,7,4]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[7,6,2,5,3,4,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,6,2,4,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,6,2,4,3,5,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,6,2,3,5,4,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,4,2,7,1,6,3,5]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[4,6,3,2,8,1,7,5]=>[6,8,4,3,7,1,5,2]=>[2,5,1,7,3,4,8,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[8,7,6,1,5,3,2,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,7,6,1,4,3,5,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,7,6,1,3,5,4,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,7,6,1,5,4,2,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,6,2,7,1,5,3,4]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[5,3,7,2,8,1,6,4]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[8,3,5,4,2,1,6,7]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,8,4,3,1,5,2,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,3,7,1,5,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,6,1,2,5,3,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,7,6,1,2,5,4,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,7,6,1,4,2,5,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,7,5,8,6,1,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,5,7,3,8,4,1,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,7,5,4,1,2,6,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,7,1,5,3,2,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,5,6,1,3,4,2,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,7,8,1,3,4,2,6]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[7,8,5,1,3,4,2,6]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,7,8,3,4,6,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,5,1,3,4,2,6,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[5,7,1,3,4,2,8,6]=>[6,8,3,5,4,1,7,2]=>[2,7,1,4,5,3,8,6]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[7,3,5,6,4,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[1,7,3,8,2,5,6,4]=>[1,8,5,7,3,6,4,2]=>[2,4,6,3,7,5,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,5,3,7,8,4,6,2]=>[1,8,6,7,5,3,4,2]=>[2,4,3,5,7,6,8,1]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[1,5,7,3,8,2,6,4]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,7,3,5,8,4,2,6]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,3,7,5,8,6,2,4]=>[1,7,8,6,5,4,2,3]=>[3,2,4,5,6,8,7,1]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[1,7,8,5,3,6,2,4]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,7,5,8,3,4,2,6]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,5,6,4,1,2,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[3,7,5,8,4,1,2,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[7,5,6,8,1,3,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,3,4,7,8,1,2,6]=>[7,6,3,8,5,2,1,4]=>[4,1,2,5,8,3,6,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[5,3,7,6,8,1,2,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,7,1,2,5,8,4,6]=>[4,8,3,1,7,6,5,2]=>[2,5,6,7,1,3,8,4]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[3,1,2,7,5,8,4,6]=>[3,2,1,8,7,6,5,4]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[3,1,2,5,7,8,6,4]=>[3,2,1,8,7,6,5,4]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[7,3,1,5,4,6,2,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[7,3,5,1,2,6,4,8]=>[7,5,6,4,2,3,1,8]=>[8,1,3,2,4,6,5,7]=>[[.,[[.,.],[.,[[.,.],[.,.]]]]],.]
[3,7,1,2,8,5,6,4]=>[4,8,3,1,7,6,5,2]=>[2,5,6,7,1,3,8,4]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[5,3,1,7,4,6,8,2]=>[8,5,3,6,2,4,7,1]=>[1,7,4,2,6,3,5,8]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[5,3,7,1,2,6,8,4]=>[8,5,6,4,2,3,7,1]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[7,4,8,3,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,4,7,3,5,6,1,8]=>[7,4,6,2,5,3,1,8]=>[8,1,3,5,2,6,4,7]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[5,7,6,4,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,4,8,2,5,6,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,2,4,6,1,3,7]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[6,1,4,8,5,2,7,3]=>[8,2,6,7,5,3,4,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[3,4,5,8,1,6,7,2]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[6,8,7,4,2,1,5,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,6,8,4,7,3,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,1,6,8,5,2,7,4]=>[6,2,8,7,5,1,4,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[2,3,8,1,5,6,4,7]=>[4,2,8,1,7,6,5,3]=>[3,5,6,7,1,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[5,4,8,1,2,6,7,3]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[5,1,8,2,4,6,7,3]=>[8,2,7,4,5,6,3,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[4,1,8,2,3,6,7,5]=>[5,2,8,4,1,7,6,3]=>[3,6,7,1,4,8,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[5,2,3,8,1,7,4,6]=>[7,5,3,8,2,6,1,4]=>[4,1,6,2,8,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[2,3,5,7,1,6,4,8]=>[5,2,7,6,1,4,3,8]=>[8,3,4,1,6,7,2,5]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[1,5,3,8,2,4,6,7]=>[1,6,5,8,3,2,7,4]=>[4,7,2,3,8,5,6,1]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[8,6,2,7,5,1,4,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,7,1,8,6,3,5,4]=>[3,8,1,7,6,5,4,2]=>[2,4,5,6,7,1,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[5,7,6,1,3,2,8,4]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,1,7,5,3,6,4,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,6,5,3,7,4,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,5,4,6,1,7,8,2]=>[8,5,3,4,2,6,7,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]
[8,1,5,4,6,3,7,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,4,6,3,1,7,2,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,2,5,6,3,7,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,6,2,7,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,4,7,2,8,6,1,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,5,6,4,1,7,2,8]=>[7,5,4,3,2,6,1,8]=>[8,1,6,2,3,4,5,7]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[2,5,6,1,7,4,3,8]=>[4,7,6,1,5,3,2,8]=>[8,2,3,5,1,6,7,4]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[2,7,1,8,6,5,4,3]=>[3,8,1,7,6,5,4,2]=>[2,4,5,6,7,1,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[3,7,6,1,8,5,4,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,6,4,2,1,3,5,7,9]=>[8,7,6,5,4,3,2,1,9]=>[9,1,2,3,4,5,6,7,8]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[8,6,4,2,9,1,3,5,7]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,6,4,2,7,1,3,5,8]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,7,4,2,5,1,3,6,8]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,7,5,2,3,1,4,6,8]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,7,5,3,1,2,4,6,8]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[10,8,6,4,2,1,3,5,7,9]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,8,6,2,1,4,3,5,7,9]=>[10,9,8,5,4,7,6,3,2,1]=>[1,2,3,6,7,4,5,8,9,10]=>[.,[.,[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]]]
[6,4,2,7,1,3,5,8,9]=>[7,6,5,4,3,2,1,8,9]=>[9,8,1,2,3,4,5,6,7]=>[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.]
[8,6,4,2,9,1,3,5,7,10]=>[9,8,7,6,5,4,3,2,1,10]=>[10,1,2,3,4,5,6,7,8,9]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[6,2,8,3,1,4,5,7]=>[7,5,8,4,2,6,1,3]=>[3,1,6,2,4,8,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[8,9,4,2,5,1,3,6,7]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,6,4,2,7,1,3,5,8,10]=>[9,8,7,6,5,4,3,2,1,10]=>[10,1,2,3,4,5,6,7,8,9]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[2,7,8,3,1,4,5,6]=>[5,8,7,4,1,6,3,2]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[9,6,7,2,3,1,4,5,8]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,7,4,2,5,1,3,6,8,10]=>[9,8,7,6,5,4,3,2,1,10]=>[10,1,2,3,4,5,6,7,8,9]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[9,7,4,5,1,2,3,6,8]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,7,5,2,3,1,4,6,8,10]=>[9,8,7,6,5,4,3,2,1,10]=>[10,1,2,3,4,5,6,7,8,9]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[9,7,5,3,1,2,4,6,8,10]=>[9,8,7,6,5,4,3,2,1,10]=>[10,1,2,3,4,5,6,7,8,9]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[1,8,5,3,2,6,7,4]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,7,8,5,6,3,2,4]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,7,5,2,3,4,8,6]=>[1,8,6,4,5,3,7,2]=>[2,7,3,5,4,6,8,1]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[1,7,5,2,4,8,6,3]=>[1,8,7,4,5,6,3,2]=>[2,3,6,5,4,7,8,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[1,6,7,8,3,2,4,5]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,4,8,6,2,3,5,7]=>[1,6,8,7,5,2,4,3]=>[3,4,2,5,7,8,6,1]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]
[1,8,4,5,6,7,2,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,2,8,6,3,4,5,7]=>[1,2,8,7,5,6,4,3]=>[3,4,6,5,7,8,2,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[1,2,8,6,3,5,7,4]=>[1,2,8,7,5,6,4,3]=>[3,4,6,5,7,8,2,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[1,2,7,8,4,3,5,6]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,8,6,7,4,2,3,5]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,6,7,8,4,2,3,5]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,6,7,8,3,4,2,5]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,7,8,4,2,3,5,6]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,7,8,3,4,2,5,6]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,2,3,7,8,5,4,6]=>[1,2,3,8,7,6,5,4]=>[4,5,6,7,8,3,2,1]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[1,7,8,4,5,2,3,6]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,7,8,3,4,5,2,6]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,2,8,4,5,6,3,7]=>[1,2,8,7,5,6,4,3]=>[3,4,6,5,7,8,2,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[1,8,4,5,6,2,3,7]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,8,2,7,3,4,1,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[6,8,7,2,3,4,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,8,7,5,2,6,1,4]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[4,8,7,3,2,5,1,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[5,3,8,1,6,7,4,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,8,2,1,3,7,6,4]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[5,1,8,2,6,4,7,3]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[5,1,8,3,6,7,4,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,1,8,4,6,2,7,5]=>[6,2,8,4,7,1,5,3]=>[3,5,1,7,4,8,2,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[8,4,1,6,5,2,3,7]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,8,7,6,4,3,5,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,1,8,7,5,3,4,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,8,7,3,2,4,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,3,7,5,6,8,4,1]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[3,2,4,7,5,8,1,6]=>[7,2,3,8,5,6,1,4]=>[4,1,6,5,8,3,2,7]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[2,8,7,6,4,5,1,3]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[4,8,7,6,3,1,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,5,2,4,7,6,8,1]=>[8,4,3,2,6,5,7,1]=>[1,7,5,6,2,3,4,8]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[5,3,2,6,4,7,8,1]=>[8,5,3,4,2,6,7,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]
[5,3,2,6,7,4,8,1]=>[8,6,3,4,5,2,7,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[5,3,2,7,6,4,8,1]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[7,3,5,2,8,4,6,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,5,2,7,4,6,8,1]=>[8,5,3,6,2,4,7,1]=>[1,7,4,2,6,3,5,8]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[3,2,7,5,4,8,6,1]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[3,7,5,2,4,8,6,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,3,7,5,4,8,6,1]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[8,3,5,1,6,4,7,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,4,5,6,1,3,7,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,4,7,6,8,2,5,1]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[5,2,8,4,1,3,6,7]=>[6,5,8,4,2,1,7,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[3,8,5,2,1,4,6,7]=>[5,8,6,4,1,3,7,2]=>[2,7,3,1,4,6,8,5]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]
[7,6,4,1,8,2,5,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,5,4,2,1,6,3,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,1,6,7,3,4,2,5]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,2,1,6,7,4,3,5]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[5,2,8,6,3,7,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,8,1,2,5,4,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,2,9,3,4,5,6,8,7]=>[1,2,9,4,5,6,7,8,3]=>[3,8,7,6,5,4,9,2,1]=>[[[.,.],.],[[[[[.,.],.],.],.],[.,.]]]
[1,2,3,4,9,5,6,8,7]=>[1,2,3,4,9,6,7,8,5]=>[5,8,7,6,9,4,3,2,1]=>[[[[[.,.],.],.],.],[[[.,.],.],[.,.]]]
[1,2,3,4,5,9,6,8,7]=>[1,2,3,4,5,9,7,8,6]=>[6,8,7,9,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],[[.,.],[.,.]]]
[1,2,3,4,5,6,9,10,7,8]=>[1,2,3,4,5,6,10,9,8,7]=>[7,8,9,10,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],[.,[.,[.,.]]]]
[5,7,1,2,6,8,3,4]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[3,5,7,4,1,8,2,6]=>[7,5,8,4,2,6,1,3]=>[3,1,6,2,4,8,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[8,6,4,7,5,1,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,4,1,2,5,3,7]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,8,4,3,1,6,5,7]=>[5,8,4,3,1,7,6,2]=>[2,6,7,1,3,4,8,5]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[3,8,4,6,1,5,2,7]=>[7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[8,3,5,6,1,4,7,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,7,3,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,1,2,8,5,7,4,6]=>[3,2,1,8,7,6,5,4]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[7,3,1,2,5,8,4,6]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[8,3,5,7,2,1,4,6]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[2,1,3,8,5,7,4,6]=>[2,1,3,8,7,6,5,4]=>[4,5,6,7,8,3,1,2]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]
[7,3,1,2,8,4,5,6]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[7,2,4,5,3,8,1,6]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,4,2,5,6,7,3,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,4,1,6,3,7,8,2]=>[8,5,3,4,2,6,7,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]
[5,1,7,6,3,4,8,2]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[6,1,7,5,4,8,2,3]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[3,7,2,1,6,8,4,5]=>[4,8,3,1,7,6,5,2]=>[2,5,6,7,1,3,8,4]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[1,5,8,2,4,7,6,3]=>[1,8,7,4,5,6,3,2]=>[2,3,6,5,4,7,8,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[5,8,1,6,4,7,3,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,8,6,5,7,2,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,1,4,7,3,5,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,6,8,2,7,4,5,3]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[5,7,2,1,8,4,3,6]=>[7,8,4,3,6,5,1,2]=>[2,1,5,6,3,4,8,7]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]
[5,7,1,6,8,3,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,6,2,1,8,3,4,7]=>[7,6,4,3,8,2,1,5]=>[5,1,2,8,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[6,4,1,7,3,8,2,5]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[8,2,5,6,7,1,4,3]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[7,2,4,6,8,3,1,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,2,4,7,8,1,3,5]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[6,1,4,3,2,8,5,7]=>[7,2,5,4,3,8,1,6]=>[6,1,8,3,4,5,2,7]=>[[.,[[.,.],[.,[.,.]]]],[[.,.],.]]
[2,7,4,8,6,1,5,3]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[2,4,8,6,5,7,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,7,8,6,4,2,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,2,8,4,7,5,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,5,7,3,6,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,4,7,8,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,4,7,2,6,8,5,3]=>[1,8,7,4,5,6,3,2]=>[2,3,6,5,4,7,8,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[2,3,7,6,5,1,4,8]=>[6,2,7,5,4,1,3,8]=>[8,3,1,4,5,7,2,6]=>[[[.,[.,.]],[.,[.,[[.,.],.]]]],.]
[3,2,7,6,4,1,5,8]=>[6,2,7,5,4,1,3,8]=>[8,3,1,4,5,7,2,6]=>[[[.,[.,.]],[.,[.,[[.,.],.]]]],.]
[6,2,3,5,7,1,4,8]=>[7,6,3,4,5,2,1,8]=>[8,1,2,5,4,3,6,7]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[7,8,1,2,5,6,4,3]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[7,1,3,6,8,5,2,4]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,2,8,5,1,6,3,7]=>[7,5,8,4,2,6,1,3]=>[3,1,6,2,4,8,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[3,8,2,4,5,1,6,7]=>[6,8,3,4,5,1,7,2]=>[2,7,1,5,4,3,8,6]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]
[3,6,2,4,1,5,7,8]=>[5,6,3,4,1,2,7,8]=>[8,7,2,1,4,3,6,5]=>[[[[.,.],[[.,.],[[.,.],.]]],.],.]
[2,3,8,4,1,6,5,7]=>[5,2,8,4,1,7,6,3]=>[3,6,7,1,4,8,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[4,5,7,3,1,6,2,8]=>[7,5,6,4,2,3,1,8]=>[8,1,3,2,4,6,5,7]=>[[.,[[.,.],[.,[[.,.],[.,.]]]]],.]
[2,3,1,4,8,5,7,6]=>[3,2,1,4,8,6,7,5]=>[5,7,6,8,4,1,2,3]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]
[4,2,6,1,5,8,7,3]=>[8,4,5,2,3,7,6,1]=>[1,6,7,3,2,5,4,8]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[7,5,1,8,4,3,6,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,1,8,5,7,6,4,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,1,8,7,4,6,3,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,4,8,7,5,1,3,6]=>[6,7,8,5,4,1,2,3]=>[3,2,1,4,5,8,7,6]=>[[[.,.],.],[.,[.,[[[.,.],.],.]]]]
[3,5,7,6,1,8,4,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,5,7,6,2,8,4,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,1,4,3,8,7,5,2]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,3,1,8,7,4,2,5]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,3,6,2,8,7,4,1]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[6,3,5,2,1,8,7,4]=>[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[2,8,4,1,3,7,6,5]=>[4,8,5,1,3,7,6,2]=>[2,6,7,3,1,5,8,4]=>[[.,.],[[.,[[.,.],.]],[.,[.,.]]]]
[3,8,1,4,7,6,5,2]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[6,2,3,8,7,5,4,1]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,1,3,5,8,7,6,2]=>[8,2,3,4,7,6,5,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[2,8,6,7,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,2,6,8,1,4,3,5]=>[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[5,3,6,2,8,4,7,1]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[8,1,6,3,7,4,5,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,4,3,7,1,8,6,5]=>[5,3,2,8,1,7,6,4]=>[4,6,7,1,8,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[2,6,5,7,3,8,4,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,8,2,7,4,1,5,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,1,7,8,5,3,2,4]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,6,5,4,7,1,8,3]=>[6,8,4,3,5,1,7,2]=>[2,7,1,5,3,4,8,6]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]
[5,8,3,4,6,1,7,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,1,7,4,2,5,8,3]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[6,8,7,1,5,4,2,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,8,3,1,5,7,6,2]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[5,3,8,2,7,1,6,4]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[8,3,4,5,2,7,1,6]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,2,6,7,1,5,3,4]=>[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[7,1,5,2,6,3,4,8]=>[7,2,6,4,5,3,1,8]=>[8,1,3,5,4,6,2,7]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[3,7,1,5,2,6,8,4]=>[5,8,3,6,1,4,7,2]=>[2,7,4,1,6,3,8,5]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]
[6,7,1,8,3,4,5,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,7,1,6,8,4,5,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,8,5,2,6,7,1,4]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[6,8,3,4,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,7,1,6,5,2,8,4]=>[6,8,3,5,4,1,7,2]=>[2,7,1,4,5,3,8,6]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[8,3,5,2,7,1,6,4]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[7,1,8,4,6,3,5,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,8,6,4,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,7,1,4,8,6,5,2]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[3,7,1,4,5,2,8,6]=>[6,8,3,4,5,1,7,2]=>[2,7,1,5,4,3,8,6]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]
[2,3,7,6,5,8,1,4]=>[7,2,8,5,4,6,1,3]=>[3,1,6,4,5,8,2,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[6,7,8,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[9,1,2,3,4,5,6,7,8]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[6,5,7,8,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[9,1,2,3,4,5,6,7,8]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[6,5,4,7,8,3,2,1,9]=>[8,7,6,4,5,3,2,1,9]=>[9,1,2,3,5,4,6,7,8]=>[[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]],.]
[7,8,9,5,4,3,2,1,6]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[7,8,9,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[10,1,2,3,4,5,6,7,8,9]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[6,7,8,9,4,3,2,1,5]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[7,6,8,9,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[10,1,2,3,4,5,6,7,8,9]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[6,5,7,8,9,3,2,1,4]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[7,6,5,8,9,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[10,1,2,3,4,5,6,7,8,9]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[2,1,4,3,6,5,8,7,11,12,9,10]=>[2,1,4,3,6,5,8,7,12,11,10,9]=>[9,10,11,12,7,8,5,6,3,4,1,2]=>[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,[.,[.,.]]]]
[2,1,4,3,6,5,9,10,7,8,12,11]=>[2,1,4,3,6,5,10,9,8,7,12,11]=>[11,12,7,8,9,10,5,6,3,4,1,2]=>[[[[[.,[.,.]],[.,.]],[.,.]],[.,[.,[.,.]]]],[.,.]]
[2,1,4,3,6,5,10,11,12,7,8,9]=>[2,1,4,3,6,5,12,11,10,9,8,7]=>[7,8,9,10,11,12,5,6,3,4,1,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,4,3,7,8,5,6,10,9,12,11]=>[2,1,4,3,8,7,6,5,10,9,12,11]=>[11,12,9,10,5,6,7,8,3,4,1,2]=>[[[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]],[.,.]],[.,.]]
[2,1,4,3,7,8,5,6,11,12,9,10]=>[2,1,4,3,8,7,6,5,12,11,10,9]=>[9,10,11,12,5,6,7,8,3,4,1,2]=>[[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[2,1,4,3,8,9,10,5,6,7,12,11]=>[2,1,4,3,10,9,8,7,6,5,12,11]=>[11,12,5,6,7,8,9,10,3,4,1,2]=>[[[[.,[.,.]],[.,.]],[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[2,1,4,3,9,10,11,12,5,6,7,8]=>[2,1,4,3,12,11,10,9,8,7,6,5]=>[5,6,7,8,9,10,11,12,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,1,5,6,3,4,8,7,10,9,12,11]=>[2,1,6,5,4,3,8,7,10,9,12,11]=>[11,12,9,10,7,8,3,4,5,6,1,2]=>[[[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]],[.,.]],[.,.]]
[2,1,5,6,3,4,8,7,11,12,9,10]=>[2,1,6,5,4,3,8,7,12,11,10,9]=>[9,10,11,12,7,8,3,4,5,6,1,2]=>[[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]],[.,[.,[.,.]]]]
[2,1,5,6,3,4,9,10,7,8,12,11]=>[2,1,6,5,4,3,10,9,8,7,12,11]=>[11,12,7,8,9,10,3,4,5,6,1,2]=>[[[[.,[.,.]],[.,[.,[.,.]]]],[.,[.,[.,.]]]],[.,.]]
[2,1,5,6,3,4,10,11,12,7,8,9]=>[2,1,6,5,4,3,12,11,10,9,8,7]=>[7,8,9,10,11,12,3,4,5,6,1,2]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,6,7,8,3,4,5,10,9,12,11]=>[2,1,8,7,6,5,4,3,10,9,12,11]=>[11,12,9,10,3,4,5,6,7,8,1,2]=>[[[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]],[.,.]],[.,.]]
[2,1,6,7,8,3,4,5,11,12,9,10]=>[2,1,8,7,6,5,4,3,12,11,10,9]=>[9,10,11,12,3,4,5,6,7,8,1,2]=>[[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]]
[2,1,7,8,9,10,3,4,5,6,12,11]=>[2,1,10,9,8,7,6,5,4,3,12,11]=>[11,12,3,4,5,6,7,8,9,10,1,2]=>[[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]]
[2,1,8,9,10,11,12,3,4,5,6,7]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[3,4,5,6,7,8,9,10,11,12,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[3,4,1,2,6,5,8,7,10,9,12,11]=>[4,3,2,1,6,5,8,7,10,9,12,11]=>[11,12,9,10,7,8,5,6,1,2,3,4]=>[[[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]],[.,.]],[.,.]]
[3,4,1,2,6,5,8,7,11,12,9,10]=>[4,3,2,1,6,5,8,7,12,11,10,9]=>[9,10,11,12,7,8,5,6,1,2,3,4]=>[[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]],[.,[.,[.,.]]]]
[3,4,1,2,6,5,9,10,7,8,12,11]=>[4,3,2,1,6,5,10,9,8,7,12,11]=>[11,12,7,8,9,10,5,6,1,2,3,4]=>[[[[.,[.,[.,[.,.]]]],[.,.]],[.,[.,[.,.]]]],[.,.]]
[3,4,1,2,6,5,10,11,12,7,8,9]=>[4,3,2,1,6,5,12,11,10,9,8,7]=>[7,8,9,10,11,12,5,6,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[3,4,1,2,7,8,5,6,10,9,12,11]=>[4,3,2,1,8,7,6,5,10,9,12,11]=>[11,12,9,10,5,6,7,8,1,2,3,4]=>[[[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]],[.,.]],[.,.]]
[3,4,1,2,7,8,5,6,11,12,9,10]=>[4,3,2,1,8,7,6,5,12,11,10,9]=>[9,10,11,12,5,6,7,8,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[3,4,1,2,8,9,10,5,6,7,12,11]=>[4,3,2,1,10,9,8,7,6,5,12,11]=>[11,12,5,6,7,8,9,10,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[3,4,1,2,9,10,11,12,5,6,7,8]=>[4,3,2,1,12,11,10,9,8,7,6,5]=>[5,6,7,8,9,10,11,12,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,5,6,1,2,3,8,7,10,9,12,11]=>[6,5,4,3,2,1,8,7,10,9,12,11]=>[11,12,9,10,7,8,1,2,3,4,5,6]=>[[[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]],[.,.]],[.,.]]
[4,5,6,1,2,3,8,7,11,12,9,10]=>[6,5,4,3,2,1,8,7,12,11,10,9]=>[9,10,11,12,7,8,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]],[.,[.,[.,.]]]]
[4,5,6,1,2,3,9,10,7,8,12,11]=>[6,5,4,3,2,1,10,9,8,7,12,11]=>[11,12,7,8,9,10,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]],[.,.]]
[4,5,6,1,2,3,10,11,12,7,8,9]=>[6,5,4,3,2,1,12,11,10,9,8,7]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,[.,[.,.]]]]]]
[5,6,7,8,1,2,3,4,10,9,12,11]=>[8,7,6,5,4,3,2,1,10,9,12,11]=>[11,12,9,10,1,2,3,4,5,6,7,8]=>[[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]],[.,.]]
[5,6,7,8,1,2,3,4,11,12,9,10]=>[8,7,6,5,4,3,2,1,12,11,10,9]=>[9,10,11,12,1,2,3,4,5,6,7,8]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,[.,[.,.]]]]
[6,7,8,9,10,1,2,3,4,5,12,11]=>[10,9,8,7,6,5,4,3,2,1,12,11]=>[11,12,1,2,3,4,5,6,7,8,9,10]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],[.,.]]
[3,5,7,6,8,2,1,4]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[6,2,4,3,7,5,1,8]=>[7,6,4,3,5,2,1,8]=>[8,1,2,5,3,4,6,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[1,3,6,4,7,5,2,8]=>[1,7,6,4,5,3,2,8]=>[8,2,3,5,4,6,7,1]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[8,2,5,3,6,4,1,7]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,2,5,3,6,4,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,2,5,3,7,4,1,8]=>[7,6,4,3,5,2,1,8]=>[8,1,2,5,3,4,6,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[4,2,6,3,7,5,1,8]=>[7,4,6,2,5,3,1,8]=>[8,1,3,5,2,6,4,7]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[5,2,7,3,6,4,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,3,6,2,5,4,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,3,1,4,6,5,2,8]=>[7,6,3,4,5,2,1,8]=>[8,1,2,5,4,3,6,7]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[8,3,7,2,5,4,1,6]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,4,7,3,6,5,2,8]=>[1,7,6,4,5,3,2,8]=>[8,2,3,5,4,6,7,1]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[8,2,5,4,1,6,3,7]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[8,2,6,4,1,5,3,7]=>[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[6,2,1,4,8,5,3,7]=>[7,3,2,6,8,4,1,5]=>[5,1,4,8,6,2,3,7]=>[[.,[[.,[.,.]],.]],[[.,[.,.]],.]]
[5,2,1,4,8,6,3,7]=>[7,3,2,4,8,6,1,5]=>[5,1,6,8,4,2,3,7]=>[[.,[[.,[.,.]],.]],[.,[[.,.],.]]]
[4,2,8,3,7,5,1,6]=>[7,4,8,2,6,5,1,3]=>[3,1,5,6,2,8,4,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[8,3,7,2,6,4,1,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,3,1,4,8,5,2,6]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[8,2,6,3,7,4,1,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,2,6,3,8,4,1,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,2,6,3,8,4,1,7]=>[7,6,4,3,8,2,1,5]=>[5,1,2,8,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[6,2,5,3,8,4,1,7]=>[7,6,4,3,8,2,1,5]=>[5,1,2,8,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[7,2,5,3,8,4,1,6]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,2,5,3,7,4,1,6]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,3,6,4,8,5,2,7]=>[1,7,6,4,8,3,2,5]=>[5,2,3,8,4,6,7,1]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]
[1,3,5,4,8,6,2,7]=>[1,7,4,3,8,6,2,5]=>[5,2,6,8,3,4,7,1]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]
[8,2,4,3,7,5,1,6]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[7,2,4,3,8,5,1,6]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[6,2,4,3,8,5,1,7]=>[7,6,4,3,8,2,1,5]=>[5,1,2,8,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[4,2,5,3,1,7,6,8]=>[5,4,3,2,1,7,6,8]=>[8,6,7,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[6,2,4,3,1,7,5,8]=>[7,5,4,3,2,6,1,8]=>[8,1,6,2,3,4,5,7]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[7,2,4,3,1,6,5,8]=>[7,5,4,3,2,6,1,8]=>[8,1,6,2,3,4,5,7]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[8,5,1,3,6,4,2,7]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,4,1,3,6,5,2,7]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[7,2,5,3,1,6,4,8]=>[7,5,6,4,2,3,1,8]=>[8,1,3,2,4,6,5,7]=>[[.,[[.,.],[.,[[.,.],[.,.]]]]],.]
[6,2,5,3,1,7,4,8]=>[7,5,4,3,2,6,1,8]=>[8,1,6,2,3,4,5,7]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[4,2,6,3,1,7,5,8]=>[5,4,7,2,1,6,3,8]=>[8,3,6,1,2,7,4,5]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[3,2,6,4,1,7,5,8]=>[5,2,7,4,1,6,3,8]=>[8,3,6,1,4,7,2,5]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[3,2,7,4,1,6,5,8]=>[5,2,7,4,1,6,3,8]=>[8,3,6,1,4,7,2,5]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[4,2,7,3,1,6,5,8]=>[5,4,7,2,1,6,3,8]=>[8,3,6,1,2,7,4,5]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[5,2,7,3,1,6,4,8]=>[7,5,6,4,2,3,1,8]=>[8,1,3,2,4,6,5,7]=>[[.,[[.,.],[.,[[.,.],[.,.]]]]],.]
[6,2,7,3,1,5,4,8]=>[7,5,6,4,2,3,1,8]=>[8,1,3,2,4,6,5,7]=>[[.,[[.,.],[.,[[.,.],[.,.]]]]],.]
[7,2,6,3,1,5,4,8]=>[7,5,6,4,2,3,1,8]=>[8,1,3,2,4,6,5,7]=>[[.,[[.,.],[.,[[.,.],[.,.]]]]],.]
[1,5,2,4,8,6,3,7]=>[1,7,3,4,8,6,2,5]=>[5,2,6,8,4,3,7,1]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]
[8,4,1,3,7,5,2,6]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[6,2,1,5,3,7,4,8]=>[7,3,2,5,4,6,1,8]=>[8,1,6,4,5,2,3,7]=>[[.,[[[.,[.,.]],[.,.]],[.,.]]],.]
[3,2,1,6,4,7,5,8]=>[3,2,1,7,5,6,4,8]=>[8,4,6,5,7,1,2,3]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[3,2,8,5,1,6,4,7]=>[5,2,8,7,1,6,4,3]=>[3,4,6,1,7,8,2,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[6,2,8,4,1,5,3,7]=>[7,5,8,6,2,4,1,3]=>[3,1,4,2,6,8,5,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[8,3,7,4,1,5,2,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,3,5,2,4,8,1,7]=>[7,5,4,3,2,8,1,6]=>[6,1,8,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[5,7,2,8,1,4,3,6]=>[7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[5,8,2,7,1,4,3,6]=>[7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[4,8,3,1,5,2,7,6]=>[6,8,4,3,5,1,7,2]=>[2,7,1,5,3,4,8,6]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]
[7,1,5,3,2,6,8,4]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[3,1,5,7,8,6,2,4]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[8,7,6,5,3,2,1,4,9]=>[8,7,6,5,4,3,2,1,9]=>[9,1,2,3,4,5,6,7,8]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[8,7,6,4,3,2,1,5,9]=>[8,7,6,5,4,3,2,1,9]=>[9,1,2,3,4,5,6,7,8]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[8,7,5,4,3,2,1,6,9]=>[8,7,6,5,4,3,2,1,9]=>[9,1,2,3,4,5,6,7,8]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[8,7,6,5,4,1,2,3,9]=>[8,7,6,5,4,3,2,1,9]=>[9,1,2,3,4,5,6,7,8]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[9,8,7,6,5,4,2,1,3,10]=>[9,8,7,6,5,4,3,2,1,10]=>[10,1,2,3,4,5,6,7,8,9]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[8,7,6,5,2,3,1,4,9]=>[8,7,6,5,4,3,2,1,9]=>[9,1,2,3,4,5,6,7,8]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[9,8,7,6,5,3,2,1,4,10]=>[9,8,7,6,5,4,3,2,1,10]=>[10,1,2,3,4,5,6,7,8,9]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[8,7,6,3,4,2,1,5,9]=>[8,7,6,5,4,3,2,1,9]=>[9,1,2,3,4,5,6,7,8]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[9,8,7,6,4,3,2,1,5,10]=>[9,8,7,6,5,4,3,2,1,10]=>[10,1,2,3,4,5,6,7,8,9]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[8,7,4,5,3,2,1,6,9]=>[8,7,6,5,4,3,2,1,9]=>[9,1,2,3,4,5,6,7,8]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[9,8,7,5,4,3,2,1,6,10]=>[9,8,7,6,5,4,3,2,1,10]=>[10,1,2,3,4,5,6,7,8,9]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[8,5,6,4,3,2,1,7,9]=>[8,7,6,5,4,3,2,1,9]=>[9,1,2,3,4,5,6,7,8]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[9,8,6,5,4,3,2,1,7,10]=>[9,8,7,6,5,4,3,2,1,10]=>[10,1,2,3,4,5,6,7,8,9]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[6,7,5,4,3,2,1,8,9]=>[7,6,5,4,3,2,1,8,9]=>[9,8,1,2,3,4,5,6,7]=>[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.]
[8,6,2,3,1,5,7,4]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,5,1,7,4,8,6,3]=>[3,8,1,7,5,6,4,2]=>[2,4,6,5,7,1,8,3]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[8,6,7,3,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,4,2,7,3,6,8,5]=>[1,5,3,8,2,6,7,4]=>[4,7,6,2,8,3,5,1]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[3,2,1,7,8,5,4,6]=>[3,2,1,8,7,6,5,4]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[7,3,4,2,1,5,8,6]=>[8,5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[2,1,6,4,7,8,5,3]=>[2,1,8,7,5,6,4,3]=>[3,4,6,5,7,8,1,2]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[1,6,3,2,4,7,8,5]=>[1,8,4,3,5,6,7,2]=>[2,7,6,5,3,4,8,1]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]
[1,2,3,7,5,8,4,6]=>[1,2,3,8,7,6,5,4]=>[4,5,6,7,8,3,2,1]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[4,7,8,1,5,6,2,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,6,7,1,8,4,2,5]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[2,7,3,8,4,5,6,1]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,1,4,3,8,5,6,2]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[5,6,2,7,8,3,4,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,4,1,8,5,6,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,2,5,8,1,6,3,4]=>[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[6,4,8,1,5,7,2,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,7,4,1,3,6,8,5]=>[4,8,5,1,3,6,7,2]=>[2,7,6,3,1,5,8,4]=>[[.,.],[[[.,[[.,.],.]],.],[.,.]]]
[5,2,1,8,4,6,7,3]=>[8,3,2,7,5,6,4,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[6,8,7,9,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[5,8,7,6,9,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[2,8,7,6,5,4,3,9,1]=>[9,7,6,5,4,3,2,8,1]=>[1,8,2,3,4,5,6,7,9]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]]
[1,2,8,4,6,3,5,7]=>[1,2,8,6,7,4,5,3]=>[3,5,4,7,6,8,2,1]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[2,6,1,5,4,7,3,8]=>[3,7,1,5,4,6,2,8]=>[8,2,6,4,5,1,7,3]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[1,2,8,5,4,6,3,7]=>[1,2,8,7,5,6,4,3]=>[3,4,6,5,7,8,2,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[1,3,6,8,4,5,7,2]=>[1,8,6,7,5,3,4,2]=>[2,4,3,5,7,6,8,1]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[1,2,8,4,6,3,7,5]=>[1,2,8,6,7,4,5,3]=>[3,5,4,7,6,8,2,1]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[4,6,3,5,7,8,1,2]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[2,7,6,5,1,4,8,3]=>[5,8,6,4,1,3,7,2]=>[2,7,3,1,4,6,8,5]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]
[2,7,4,8,1,3,6,5]=>[5,8,6,7,1,3,4,2]=>[2,4,3,1,7,6,8,5]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]
[2,3,6,8,4,1,7,5]=>[6,2,8,7,5,1,4,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[1,2,6,8,4,7,5,3]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,2,8,6,3,5,4]=>[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[2,3,8,5,4,7,1,6]=>[7,2,8,5,4,6,1,3]=>[3,1,6,4,5,8,2,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[1,2,8,4,7,3,5,6]=>[1,2,8,6,7,4,5,3]=>[3,5,4,7,6,8,2,1]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[2,6,1,4,8,3,7,5]=>[3,8,1,6,7,4,5,2]=>[2,5,4,7,6,1,8,3]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[3,7,6,5,2,1,4,8]=>[6,7,5,4,3,1,2,8]=>[8,2,1,3,4,5,7,6]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[2,5,6,1,4,8,7,3]=>[4,8,5,1,3,7,6,2]=>[2,6,7,3,1,5,8,4]=>[[.,.],[[.,[[.,.],.]],[.,[.,.]]]]
[8,4,2,3,7,1,6,5]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[5,2,4,8,7,3,1,6]=>[7,6,3,8,5,2,1,4]=>[4,1,2,5,8,3,6,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[8,3,2,6,7,4,1,5]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,2,4,6,7,8,1,5]=>[7,2,3,8,5,6,1,4]=>[4,1,6,5,8,3,2,7]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[5,2,6,8,1,3,7,4]=>[8,5,6,7,2,3,4,1]=>[1,4,3,2,7,6,5,8]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]
[4,8,1,6,3,7,5,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,1,5,2,6,4,3,8]=>[7,2,6,4,5,3,1,8]=>[8,1,3,5,4,6,2,7]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[8,3,5,2,6,1,4,7]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[1,8,5,6,2,7,4,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,3,2,4,6,7,1,5]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[4,2,7,6,1,8,5,3]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[7,2,4,8,6,3,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,3,2,1,8,5,4,6]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[7,3,2,1,6,4,8,5]=>[8,4,3,2,6,5,7,1]=>[1,7,5,6,2,3,4,8]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[3,6,5,2,1,8,4,7]=>[5,7,4,3,1,8,2,6]=>[6,2,8,1,3,4,7,5]=>[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]
[6,7,2,4,3,5,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,5,3,7,2,1,6,8]=>[6,5,3,7,2,1,4,8]=>[8,4,1,2,7,3,5,6]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[4,3,8,2,1,5,7,6]=>[5,4,8,2,1,6,7,3]=>[3,7,6,1,2,8,4,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[4,3,2,8,1,6,7,5]=>[5,3,2,8,1,7,6,4]=>[4,6,7,1,8,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[4,5,8,3,2,7,1,6]=>[7,5,8,4,2,6,1,3]=>[3,1,6,2,4,8,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[6,8,5,2,7,3,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,4,7,8,2,3,6,1]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[4,3,8,2,1,6,7,5]=>[5,4,8,2,1,7,6,3]=>[3,6,7,1,2,8,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[3,6,7,4,5,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,5,7,4,6,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,3,7,6,2,4,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,6,7,2,5,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,4,7,8,3,1,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,7,3,1,5,6,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,1,7,6,4,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,6,7,1,8,3,4,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,1,8,6,2,5,4,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,5,1,7,6,4,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,5,8,2,6,4,7,3]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,5,7,4,6,8,3,2]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,4,7,5,6,8,3,2]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[5,6,7,4,8,1,3,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,1,2,6,4,5,7,3]=>[8,2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[4,8,1,7,2,5,6,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,6,7,1,5,4,8,3]=>[4,8,6,1,5,3,7,2]=>[2,7,3,5,1,6,8,4]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[3,2,7,6,5,8,1,4]=>[7,2,8,5,4,6,1,3]=>[3,1,6,4,5,8,2,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[1,7,3,4,5,8,2,6]=>[1,8,7,4,5,6,3,2]=>[2,3,6,5,4,7,8,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[7,1,8,4,5,6,3,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,2,7,4,5,8,3,6]=>[1,2,8,7,5,6,4,3]=>[3,4,6,5,7,8,2,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[8,1,9,4,5,6,7,3,2]=>[9,2,8,7,6,5,4,3,1]=>[1,3,4,5,6,7,8,2,9]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,9,3,4,5,6,1,8,2]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[6,7,3,2,5,8,1,4]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,1,3,9,5,6,7,4,2]=>[9,2,8,7,6,5,4,3,1]=>[1,3,4,5,6,7,8,2,9]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,1,8,4,5,3,7,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,8,9,4,5,6,3,1,2]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,1,10,4,5,6,7,8,3,2]=>[10,2,9,8,7,6,5,4,3,1]=>[1,3,4,5,6,7,8,9,2,10]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[8,10,3,4,5,6,7,1,9,2]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[4,6,2,5,1,8,7,3]=>[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[7,3,5,2,1,6,8,4]=>[8,5,6,4,2,3,7,1]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[8,5,1,2,6,3,7,4]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[1,5,8,7,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,2,1,3,6,8,4]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[3,7,2,6,8,1,5,4]=>[6,8,3,7,5,1,4,2]=>[2,4,1,5,7,3,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[7,4,8,6,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,7,6,8,5,1,4,3]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[1,6,4,5,7,3,8,2]=>[1,8,6,4,5,3,7,2]=>[2,7,3,5,4,6,8,1]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[1,5,4,7,8,6,2,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,1,6,8,2,5,4]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[7,1,6,8,5,2,4,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,5,8,7,6,4,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,5,7,8,6,2,4,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,6,2,1,4,7,8,5]=>[4,8,3,1,5,6,7,2]=>[2,7,6,5,1,3,8,4]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]
[6,8,2,7,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,1,7,6,4,3,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,6,3,2,1,5,4,7]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,5,3,2,4,1,7,6]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,5,2,4,3,6,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,5,1,4,6,3,2,7]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,5,1,6,3,4,2,7]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,4,3,6,1,5,2,7]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[8,4,3,5,2,1,7,6]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,4,3,2,8,7,1,5]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[8,5,1,4,3,7,2,6]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[8,5,4,2,1,3,7,6]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,7,3,6,1,8,5,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,6,2,4,1,5,8,3]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,1,6,3,7,4,2,5]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,3,8,2,6,7,1,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,2,5,1,7,6,3,4]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,2,4,6,3,7,1,5]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[7,2,6,4,3,5,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,3,6,2,4,5,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,3,7,2,1,4,6,5]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[7,6,4,1,3,2,8,5]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,3,8,2,1,5,6,4]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[6,2,5,7,4,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,2,5,4,8,7,1,3]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[7,2,4,8,5,1,6,3]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[4,2,7,6,8,5,1,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,1,6,2,8,5,4,3]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,1,6,3,8,5,2,4]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,2,6,8,1,3,5,4]=>[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[7,2,8,5,1,3,6,4]=>[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[7,1,8,5,3,2,6,4]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,1,8,2,5,6,4,3]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,1,5,8,7,2,4,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,1,5,7,4,8,3,2]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[6,1,5,7,8,3,4,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,6,7,3,1,8,5,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,2,6,3,1,8,7,5]=>[5,4,8,2,1,7,6,3]=>[3,6,7,1,2,8,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[1,5,3,8,4,6,2,7]=>[1,7,5,8,3,6,2,4]=>[4,2,6,3,8,5,7,1]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[7,2,3,5,8,4,1,6]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,6,4,2,8,5,1,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,7,6,4,8,5,3,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,7,4,2,1,5,6,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,2,3,5,1,4,6,7]=>[8,5,3,6,2,4,7,1]=>[1,7,4,2,6,3,5,8]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[8,7,4,1,3,2,6,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,1,4,8,3,6,2,5]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,1,8,5,7,6,2,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,7,5,8,4,2,1,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[6,1,5,8,3,4,2,7]=>[7,2,6,8,5,3,1,4]=>[4,1,3,5,8,6,2,7]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]
[6,7,5,1,3,2,4,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,2,6,1,7,3,4,8]=>[7,4,6,2,5,3,1,8]=>[8,1,3,5,2,6,4,7]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[4,2,6,8,3,7,1,5]=>[7,5,8,6,2,4,1,3]=>[3,1,4,2,6,8,5,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[6,8,5,1,4,2,3,7]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[7,8,4,5,1,3,6,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,7,8,5,3,4,6,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,5,8,3,6,4,7,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,3,8,1,4,2,7,5]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[4,8,1,5,6,3,7,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,8,2,6,5,3,7,4]=>[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[3,8,1,7,2,6,5,4]=>[5,8,3,7,1,6,4,2]=>[2,4,6,1,7,3,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[7,3,8,1,2,6,5,4]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[8,1,4,2,3,5,7,6]=>[8,2,5,4,3,6,7,1]=>[1,7,6,3,4,5,2,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[8,1,2,4,6,5,7,3]=>[8,2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[5,1,8,3,7,4,6,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,3,7,1,5,4,6,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,4,7,1,5,3,6,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,2,5,3,4,6,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,6,4,2,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,8,4,3,6,2,7,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,7,2,6,3,4,8,5]=>[1,8,3,6,5,4,7,2]=>[2,7,4,5,6,3,8,1]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[7,5,1,6,3,2,4,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[7,1,2,6,3,4,5,8]=>[7,2,3,6,5,4,1,8]=>[8,1,4,5,6,3,2,7]=>[[.,[[[.,.],.],[.,[.,[.,.]]]]],.]
[7,2,5,1,6,3,4,8]=>[7,4,6,2,5,3,1,8]=>[8,1,3,5,2,6,4,7]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[7,3,1,4,6,2,5,8]=>[7,6,3,4,5,2,1,8]=>[8,1,2,5,4,3,6,7]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[5,8,4,3,1,7,2,6]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[3,6,8,5,2,4,7,1]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[5,7,8,4,3,2,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,3,8,4,7,2,6,5]=>[1,6,8,4,7,2,5,3]=>[3,5,2,7,4,8,6,1]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[3,2,1,4,5,8,6,7]=>[3,2,1,4,5,8,7,6]=>[6,7,8,5,4,1,2,3]=>[[[[.,[.,[.,.]]],.],.],[.,[.,.]]]
[6,7,1,3,2,8,5,4]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[5,4,3,1,7,2,8,6]=>[6,4,3,2,8,1,7,5]=>[5,7,1,8,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[3,7,6,5,8,2,4,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,7,4,2,8,6,1,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,4,3,7,8,2,6,1]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[3,8,5,7,6,2,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,3,6,8,7,2,5,4]=>[1,6,8,7,5,2,4,3]=>[3,4,2,5,7,8,6,1]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]
[5,8,7,1,4,2,3,6]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[2,6,3,7,1,4,5,8]=>[5,7,3,6,1,4,2,8]=>[8,2,4,1,6,3,7,5]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[6,5,1,2,4,7,8,3]=>[8,5,3,4,2,6,7,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]
[7,6,8,4,3,1,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,7,6,5,3,2,4,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[2,7,6,5,4,1,3,8]=>[6,7,5,4,3,1,2,8]=>[8,2,1,3,4,5,7,6]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[4,7,6,1,5,8,3,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[9,8,7,6,5,4,2,3,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[2,3,9,8,7,6,5,4,1]=>[9,2,8,7,6,5,4,3,1]=>[1,3,4,5,6,7,8,2,9]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,7,1,5,4,3,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,7,4,6,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[9,8,7,6,1,5,4,3,2]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,8,7,6,5,1,4,3,2]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[10,9,8,7,1,6,5,4,3,2]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[10,9,8,7,6,1,5,4,3,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,8,7,6,5,1,4,3,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,8,7,6,5,4,1,3,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[2,4,3,6,5,8,7,10,9,1]=>[10,3,2,5,4,7,6,9,8,1]=>[1,8,9,6,7,4,5,2,3,10]=>[.,[[[[.,[.,.]],[.,.]],[.,.]],[.,[.,.]]]]
[7,2,6,1,5,8,3,4]=>[8,4,7,2,5,6,3,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[4,7,3,8,6,2,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,7,3,6,8,2,1,5]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[8,7,2,4,6,3,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,3,5,7,2,6,1,8]=>[7,5,3,6,2,4,1,8]=>[8,1,4,2,6,3,5,7]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[1,7,2,8,5,4,3,6]=>[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[6,8,2,5,7,1,4,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,8,6,2,7,5,1,4]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[5,8,4,2,7,3,6,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,2,7,3,4,5,1,6]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,1,5,2,4,6,3,7]=>[8,2,7,4,5,6,3,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[8,6,1,3,4,5,7,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,5,1,2,4,6,7,3]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[2,6,8,7,3,4,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,7,8,5,6,4,2,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,1,7,5,8,2,4,6]=>[6,2,8,7,5,1,4,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[8,1,5,6,4,2,3,7]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,6,5,4,3,2,7]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,6,8,1,5,4,3,7]=>[4,7,8,1,6,5,2,3]=>[3,2,5,6,1,8,7,4]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]
[3,5,8,2,1,4,7,6]=>[5,6,8,4,1,2,7,3]=>[3,7,2,1,4,8,6,5]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]
[4,2,8,5,3,7,6,1]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[4,2,7,5,3,8,6,1]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[6,4,5,1,8,3,2,7]=>[7,6,4,3,8,2,1,5]=>[5,1,2,8,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[5,4,7,8,3,1,2,6]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[4,5,8,1,3,7,2,6]=>[7,5,8,4,2,6,1,3]=>[3,1,6,2,4,8,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[1,5,3,6,8,7,2,4]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[7,6,2,8,1,4,3,5]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[4,7,2,6,8,3,5,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,3,2,8,7,4,5,1]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,4,3,8,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,1,5,8,7,6,2,4]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[8,2,1,6,5,7,3,4]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[3,1,8,6,5,7,2,4]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[7,2,6,5,1,8,3,4]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[6,4,2,1,8,7,3,5]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[7,2,5,3,8,4,6,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,6,8,1,7,4,5,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,7,3,2,5,4,6,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,5,6,1,8,3,2,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,5,6,2,7,3,1,8]=>[7,6,4,3,5,2,1,8]=>[8,1,2,5,3,4,6,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[5,3,4,7,1,6,2,8]=>[7,5,3,6,2,4,1,8]=>[8,1,4,2,6,3,5,7]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[3,5,1,4,6,8,2,7]=>[7,4,3,2,5,8,1,6]=>[6,1,8,5,2,3,4,7]=>[[.,[[.,[.,[.,.]]],.]],[[.,.],.]]
[8,5,7,4,2,1,3,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,3,7,4,1,8,6,5]=>[5,2,8,4,1,7,6,3]=>[3,6,7,1,4,8,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[2,4,5,1,8,6,3,7]=>[4,7,3,1,8,6,2,5]=>[5,2,6,8,1,3,7,4]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]
[6,3,7,1,5,2,4,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,1,4,8,6,5,2,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,3,4,2,1,7,5,6]=>[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[4,6,2,7,5,8,1,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,3,2,5,1,8,4,6]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[7,8,1,4,2,3,5,6]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,5,2,4,8,7,1,3]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[8,5,2,4,1,3,7,6]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,1,2,4,3,6,8,7]=>[5,2,3,4,1,6,8,7]=>[7,8,6,1,4,3,2,5]=>[[[.,[[[.,.],.],[.,.]]],.],[.,.]]
[5,2,1,4,3,7,6,8]=>[5,3,2,4,1,7,6,8]=>[8,6,7,1,4,2,3,5]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[8,6,2,7,5,3,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,2,1,5,8,3,4,7]=>[7,3,2,6,8,4,1,5]=>[5,1,4,8,6,2,3,7]=>[[.,[[.,[.,.]],.]],[[.,[.,.]],.]]
[2,3,8,7,1,5,4,6]=>[5,2,8,7,1,6,4,3]=>[3,4,6,1,7,8,2,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[4,3,8,1,5,2,6,7]=>[6,4,8,2,5,1,7,3]=>[3,7,1,5,2,8,4,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[4,1,3,6,7,2,8,5]=>[6,2,3,8,5,1,7,4]=>[4,7,1,5,8,3,2,6]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]
[7,1,4,5,8,2,6,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,8,1,6,5,2,4,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,4,8,6,5,1,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,7,8,6,5,1,2,4]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[8,4,5,7,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,5,8,2,7,3,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,4,8,2,7,3,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,1,3,6,4,2,5]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,3,8,2,7,5,1,6]=>[7,4,8,2,6,5,1,3]=>[3,1,5,6,2,8,4,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[4,5,7,8,3,2,1,6]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[5,7,3,4,2,6,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,7,4,2,3,6,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,4,7,3,2,8,1,6]=>[7,5,8,4,2,6,1,3]=>[3,1,6,2,4,8,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[6,8,3,2,4,5,1,7]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[5,8,3,4,6,1,2,7]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[6,4,3,8,5,1,2,7]=>[7,6,5,8,3,2,1,4]=>[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[6,4,8,2,3,5,1,7]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[5,4,6,8,2,3,1,7]=>[7,6,5,8,3,2,1,4]=>[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[5,6,8,4,1,2,3,7]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[6,4,8,5,1,2,3,7]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[7,4,8,3,1,2,5,6]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[5,7,8,2,3,1,4,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[5,4,7,8,2,1,3,6]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[5,8,6,3,1,2,4,7]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[6,8,5,2,1,3,4,7]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[5,6,1,3,2,4,8,7]=>[6,5,3,4,2,1,8,7]=>[7,8,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]
[8,1,5,4,6,2,7,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,3,8,1,2,5,7,6]=>[5,4,8,2,1,6,7,3]=>[3,7,6,1,2,8,4,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[4,6,3,2,8,5,7,1]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[5,3,7,2,1,8,6,4]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[7,4,3,2,5,1,8,6]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[3,6,8,5,2,1,7,4]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[6,1,5,4,7,2,8,3]=>[8,2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[1,3,6,5,8,2,7,4]=>[1,6,8,4,7,2,5,3]=>[3,5,2,7,4,8,6,1]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[5,4,8,3,2,7,1,6]=>[7,5,8,4,2,6,1,3]=>[3,1,6,2,4,8,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[5,4,3,7,2,1,6,8]=>[6,5,3,7,2,1,4,8]=>[8,4,1,2,7,3,5,6]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[5,4,3,7,8,2,1,6]=>[7,6,3,8,5,2,1,4]=>[4,1,2,5,8,3,6,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[1,4,8,6,3,2,7,5]=>[1,6,8,7,5,2,4,3]=>[3,4,2,5,7,8,6,1]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]
[4,1,8,6,2,5,7,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,7,2,5,3,8,4,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,3,4,8,1,2,7,5]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[6,2,8,1,7,4,5,3]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[2,6,3,1,5,8,7,4]=>[4,8,3,1,5,7,6,2]=>[2,6,7,5,1,3,8,4]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]
[8,7,6,4,5,3,2,9,1]=>[9,7,6,5,4,3,2,8,1]=>[1,8,2,3,4,5,6,7,9]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]]
[2,9,8,7,5,6,4,3,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[6,1,3,5,8,7,4,2]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[3,5,8,7,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,5,7,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,3,6,8,4,2,1,7]=>[7,6,5,8,3,2,1,4]=>[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[5,1,6,8,4,7,3,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,4,1,8,7,6,3,5]=>[3,7,1,8,6,5,2,4]=>[4,2,5,6,8,1,7,3]=>[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]
[1,3,5,8,4,7,2,6]=>[1,7,5,8,3,6,2,4]=>[4,2,6,3,8,5,7,1]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[2,3,8,7,5,1,6,4]=>[6,2,8,7,5,1,4,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[8,5,4,7,6,1,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,7,2,4,1,3,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[6,3,8,5,1,7,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,2,4,6,1,3,7,5]=>[8,5,6,7,2,3,4,1]=>[1,4,3,2,7,6,5,8]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]
[6,4,8,7,3,5,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,2,3,5,6,1,4,7]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[4,3,5,6,8,2,7,1]=>[8,6,3,4,7,2,5,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[8,2,3,4,6,1,7,5]=>[8,6,3,4,7,2,5,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[1,7,4,3,5,2,8,6]=>[1,8,6,4,5,3,7,2]=>[2,7,3,5,4,6,8,1]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[2,7,4,3,8,1,5,6]=>[6,8,4,3,7,1,5,2]=>[2,5,1,7,3,4,8,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[3,8,2,7,6,4,1,5]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[5,3,6,2,1,8,4,7]=>[7,5,4,3,2,8,1,6]=>[6,1,8,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[4,3,8,6,2,7,1,5]=>[7,5,8,6,2,4,1,3]=>[3,1,4,2,6,8,5,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[8,2,1,4,6,3,7,5]=>[8,3,2,6,7,4,5,1]=>[1,5,4,7,6,2,3,8]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]
[3,1,6,8,2,7,5,4]=>[5,2,8,7,1,6,4,3]=>[3,4,6,1,7,8,2,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[5,3,8,6,7,2,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,7,2,4,6,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,5,2,8,7,6,4,3]=>[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[4,7,1,2,6,5,8,3]=>[8,6,3,4,5,2,7,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[4,2,5,6,8,7,3,1]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[6,5,8,3,7,4,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,2,5,1,6,3,7,4]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,3,4,5,1,6,7,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,8,1,5,6,3,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,7,8,3,2,5,4,6]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[7,8,1,3,2,5,6,4]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[7,8,1,3,5,4,6,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,8,1,3,5,2,4,6]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,3,7,8,5,2,4,6]=>[1,6,8,7,5,2,4,3]=>[3,4,2,5,7,8,6,1]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]
[1,7,8,3,5,2,6,4]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,7,8,3,2,5,6,4]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[3,7,8,5,4,6,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,5,7,6,4,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[1,3,7,8,5,4,6,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,3,7,8,5,4,2,6]=>[1,7,8,6,5,4,2,3]=>[3,2,4,5,6,8,7,1]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[1,3,7,8,2,5,4,6]=>[1,5,8,7,2,6,4,3]=>[3,4,6,2,7,8,5,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[1,3,2,7,8,5,4,6]=>[1,3,2,8,7,6,5,4]=>[4,5,6,7,8,2,3,1]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]
[1,5,7,6,8,3,2,4]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,5,4,7,8,6,1,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,5,7,6,8,4,1,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,5,7,6,8,3,4,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,5,7,4,6,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,5,8,4,3,7,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,3,1,5,2,4,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,2,4,1,8,3,6,7]=>[6,4,3,2,8,1,7,5]=>[5,7,1,8,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[2,1,7,4,3,8,5,6]=>[2,1,8,5,4,7,6,3]=>[3,6,7,4,5,8,1,2]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[7,2,3,8,5,4,1,6]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,1,5,7,6,3,8,2]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[3,2,1,10,9,8,4,5,6,7]=>[3,2,1,10,9,8,7,6,5,4]=>[4,5,6,7,8,9,10,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,4,2,3,1,10,9,6,7,8]=>[5,4,3,2,1,10,9,8,7,6]=>[6,7,8,9,10,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]]
[7,4,2,6,3,5,1,10,8,9]=>[7,6,5,4,3,2,1,10,9,8]=>[8,9,10,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,[.,.]]]
[7,6,5,2,3,4,1,10,8,9]=>[7,6,5,4,3,2,1,10,9,8]=>[8,9,10,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,[.,.]]]
[9,8,5,2,7,3,4,6,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[10,1,2,3,4,5,6,7,8,9]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[9,8,7,6,2,3,4,5,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[10,1,2,3,4,5,6,7,8,9]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[1,10,9,8,7,2,3,4,5,6]=>[1,10,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[7,4,2,6,3,5,1,12,11,8,9,10]=>[7,6,5,4,3,2,1,12,11,10,9,8]=>[8,9,10,11,12,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,[.,[.,[.,.]]]]]
[7,6,5,2,3,4,1,12,11,8,9,10]=>[7,6,5,4,3,2,1,12,11,10,9,8]=>[8,9,10,11,12,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,[.,[.,[.,.]]]]]
[11,10,5,2,7,3,9,4,6,8,1,12]=>[11,10,9,8,7,6,5,4,3,2,1,12]=>[12,1,2,3,4,5,6,7,8,9,10,11]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]],.]
[11,10,5,2,9,8,3,4,6,7,1,12]=>[11,10,9,8,7,6,5,4,3,2,1,12]=>[12,1,2,3,4,5,6,7,8,9,10,11]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]],.]
[11,10,7,6,2,3,9,4,5,8,1,12]=>[11,10,9,8,7,6,5,4,3,2,1,12]=>[12,1,2,3,4,5,6,7,8,9,10,11]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]],.]
[11,10,9,6,2,8,3,4,5,7,1,12]=>[11,10,9,8,7,6,5,4,3,2,1,12]=>[12,1,2,3,4,5,6,7,8,9,10,11]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]],.]
[11,10,9,8,7,2,3,4,5,6,1,12]=>[11,10,9,8,7,6,5,4,3,2,1,12]=>[12,1,2,3,4,5,6,7,8,9,10,11]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]],.]
[1,12,11,10,9,8,2,3,4,5,6,7]=>[1,12,11,10,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,10,11,12,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]
[1,4,6,7,3,5,2,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[1,4,8,2,6,7,5,3]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,7,3,2,4,5,8,6]=>[1,8,4,3,5,6,7,2]=>[2,7,6,5,3,4,8,1]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]
[1,6,4,3,2,5,7,8]=>[1,6,5,4,3,2,7,8]=>[8,7,2,3,4,5,6,1]=>[[[[.,.],[.,[.,[.,[.,.]]]]],.],.]
[4,2,6,5,3,1,7,8]=>[6,5,4,3,2,1,7,8]=>[8,7,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[5,2,1,6,8,7,4,3]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[1,3,5,8,6,2,7,4]=>[1,6,8,7,5,2,4,3]=>[3,4,2,5,7,8,6,1]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]
[2,3,8,4,1,7,6,5]=>[5,2,8,4,1,7,6,3]=>[3,6,7,1,4,8,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[3,7,8,5,4,2,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,3,2,7,5,6,1,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,3,8,5,7,4,2,6]=>[1,7,8,6,5,4,2,3]=>[3,2,4,5,6,8,7,1]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[1,2,3,7,5,4,6,8]=>[1,2,3,7,6,5,4,8]=>[8,4,5,6,7,3,2,1]=>[[[[[.,.],.],.],[.,[.,[.,.]]]],.]
[2,8,6,3,5,7,4,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,8,6,4,2,7,1,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[1,5,4,2,3,6,8,7]=>[1,5,4,3,2,6,8,7]=>[7,8,6,2,3,4,5,1]=>[[[[.,.],[.,[.,[.,.]]]],.],[.,.]]
[6,1,5,2,3,4,8,7]=>[6,2,5,4,3,1,8,7]=>[7,8,1,3,4,5,2,6]=>[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]
[6,5,2,1,7,3,4,8]=>[7,6,4,3,5,2,1,8]=>[8,1,2,5,3,4,6,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[3,1,2,4,8,6,7,5]=>[3,2,1,4,8,7,6,5]=>[5,6,7,8,4,1,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]
[6,5,2,1,8,4,7,3]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[5,6,2,4,3,8,1,7]=>[7,5,4,3,2,8,1,6]=>[6,1,8,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[2,3,5,4,8,6,1,7]=>[7,2,4,3,8,6,1,5]=>[5,1,6,8,3,4,2,7]=>[[.,[[.,.],[.,.]]],[.,[[.,.],.]]]
[2,3,6,4,7,5,1,8]=>[7,2,6,4,5,3,1,8]=>[8,1,3,5,4,6,2,7]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[2,3,5,7,4,8,1,6]=>[7,2,5,8,3,6,1,4]=>[4,1,6,3,8,5,2,7]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[3,7,6,1,2,5,8,4]=>[5,8,6,4,1,3,7,2]=>[2,7,3,1,4,6,8,5]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]
[4,7,1,6,8,5,3,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,1,8,6,3,5,2,7]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[4,1,5,8,6,2,3,7]=>[7,2,6,8,5,3,1,4]=>[4,1,3,5,8,6,2,7]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]
[5,4,8,6,3,7,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,7,3,4,8,2,6,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,6,4,2,7,8,3,1]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[6,5,2,3,7,4,1,8]=>[7,6,4,3,5,2,1,8]=>[8,1,2,5,3,4,6,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[6,5,2,3,1,8,7,4]=>[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[6,5,3,7,4,1,2,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,4,7,5,3,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,7,6,4,8,3,1,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,7,4,8,3,1,6,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,1,4,7,5,2,8,6]=>[6,2,3,8,5,1,7,4]=>[4,7,1,5,8,3,2,6]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]
[2,5,3,6,1,8,4,7]=>[5,7,3,4,1,8,2,6]=>[6,2,8,1,4,3,7,5]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]
[2,5,6,8,3,1,7,4]=>[6,8,5,7,3,1,4,2]=>[2,4,1,3,7,5,8,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[1,7,4,5,3,2,6,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[1,6,4,7,3,5,2,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[3,5,6,4,8,2,1,7]=>[7,6,4,3,8,2,1,5]=>[5,1,2,8,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[1,6,4,7,5,2,3,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[8,5,6,1,4,3,7,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,5,4,7,8,3,1,6]=>[7,6,3,8,5,2,1,4]=>[4,1,2,5,8,3,6,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[6,4,5,8,2,3,1,7]=>[7,6,5,8,3,2,1,4]=>[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[8,6,1,3,2,5,7,4]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[7,5,8,1,4,6,3,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,2,6,7,8,1,5,3]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[3,4,6,7,8,1,5,2]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[4,7,3,8,5,1,6,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,3,2,7,5,8,1,6]=>[7,3,2,8,5,6,1,4]=>[4,1,6,5,8,2,3,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[4,8,5,3,2,6,1,7]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[2,8,4,5,3,6,1,7]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[8,1,5,3,2,4,7,6]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[7,8,4,1,3,6,5,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,6,1,3,2,7,4,5]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[7,3,8,2,4,1,6,5]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[6,2,3,7,8,1,5,4]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[6,3,7,8,1,5,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,6,3,7,8,1,5,4]=>[6,8,3,7,5,1,4,2]=>[2,4,1,5,7,3,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[7,5,8,1,6,4,2,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,1,4,3,7,5,6,2]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,2,7,6,4,1,5,3]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[2,7,4,3,8,5,1,6]=>[7,8,4,3,6,5,1,2]=>[2,1,5,6,3,4,8,7]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]
[6,8,2,7,3,1,5,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,2,6,3,4,1,7,5]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[6,1,2,8,5,3,7,4]=>[8,2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[4,1,5,8,3,6,7,2]=>[8,2,5,7,3,6,4,1]=>[1,4,6,3,7,5,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[7,5,2,8,1,6,3,4]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[4,8,5,7,1,3,2,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[3,4,7,2,1,5,8,6]=>[5,4,8,2,1,6,7,3]=>[3,7,6,1,2,8,4,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[4,8,2,7,1,3,6,5]=>[6,8,5,7,3,1,4,2]=>[2,4,1,3,7,5,8,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[5,2,1,8,7,4,6,3]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[8,2,1,7,4,6,3,5]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[4,2,5,8,3,6,7,1]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[5,1,6,8,3,2,7,4]=>[8,2,6,7,5,3,4,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[4,1,5,6,8,2,7,3]=>[8,2,6,4,7,3,5,1]=>[1,5,3,7,4,6,2,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[5,7,8,2,4,1,3,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[4,5,2,8,7,3,1,6]=>[7,6,3,8,5,2,1,4]=>[4,1,2,5,8,3,6,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[4,8,5,3,1,6,7,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,2,3,1,7,8,5,4]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[5,2,3,6,8,4,7,1]=>[8,6,3,4,7,2,5,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[6,2,1,7,8,4,3,5]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[5,2,7,8,4,1,6,3]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[6,2,7,8,3,5,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,2,8,6,4,1,7,3]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[5,1,2,8,4,3,7,6]=>[6,2,3,8,5,1,7,4]=>[4,7,1,5,8,3,2,6]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]
[6,7,8,3,2,5,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,7,2,6,4,8,1,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,2,3,4,7,8,5,1]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[7,2,1,8,4,3,5,6]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[6,8,7,3,4,5,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,2,3,7,8,1,4,5]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[7,4,3,2,5,8,1,6]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[7,2,4,3,5,8,1,6]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[1,7,6,4,2,3,5,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[6,1,4,7,2,8,5,3]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[1,7,5,8,4,2,3,6]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,6,7,2,4,8,5,3]=>[1,8,7,4,5,6,3,2]=>[2,3,6,5,4,7,8,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[5,7,2,4,3,6,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,7,3,4,6,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[2,8,3,6,1,7,4,5]=>[5,8,3,7,1,6,4,2]=>[2,4,6,1,7,3,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[4,3,1,8,5,2,6,7]=>[6,3,2,8,5,1,7,4]=>[4,7,1,5,8,2,3,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[1,8,4,5,6,2,7,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,8,2,1,4,5,6]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[8,2,5,3,1,7,4,6]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[6,3,5,8,1,7,4,2]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[3,5,4,8,6,1,7,2]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[7,5,2,3,8,4,6,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,7,5,1,4,8,3,6]=>[4,8,7,1,5,6,3,2]=>[2,3,6,5,1,7,8,4]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[5,7,6,1,2,8,3,4]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,4,6,5,1,8,2,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,1,3,2,6,8,4,5]=>[8,2,4,3,7,6,5,1]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[4,3,5,2,8,1,6,7]=>[6,4,3,2,8,1,7,5]=>[5,7,1,8,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[1,7,3,8,2,4,6,5]=>[1,8,5,7,3,6,4,2]=>[2,4,6,3,7,5,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[2,7,4,8,5,3,1,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[6,1,3,8,4,2,7,5]=>[8,2,6,7,5,3,4,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[5,4,1,8,6,2,7,3]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[5,4,6,8,1,3,2,7]=>[7,6,5,8,3,2,1,4]=>[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[3,6,1,5,8,4,7,2]=>[8,6,3,4,7,2,5,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[6,4,8,3,5,7,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,5,8,2,4,1,7,6]=>[6,5,8,4,2,1,7,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[7,2,8,4,1,3,6,5]=>[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[5,8,1,2,4,3,6,7]=>[6,8,3,4,5,1,7,2]=>[2,7,1,5,4,3,8,6]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]
[8,4,3,5,7,2,6,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,1,5,2,3,8,7,6]=>[5,2,4,3,1,8,7,6]=>[6,7,8,1,3,4,2,5]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]
[6,3,5,8,2,4,7,1]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[2,8,7,1,4,6,3,5]=>[4,8,7,1,6,5,3,2]=>[2,3,5,6,1,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,8,5,3,7,4,2,6]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,6,2,8,4,3,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,7,6,2,8,1,4,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,3,8,1,2,5,4,7]=>[7,5,8,4,2,6,1,3]=>[3,1,6,2,4,8,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[7,6,4,8,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,5,3,8,4,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,6,5,4,2,8,3,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,6,9,7,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[7,5,4,8,6,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,5,9,6,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[8,7,6,4,9,5,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[7,6,5,3,2,8,4,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,2,1,10,7,6,9,8,5,4]=>[3,2,1,10,9,8,7,6,5,4]=>[4,5,6,7,8,9,10,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,3,6,5,2,1,10,9,8]=>[7,6,5,4,3,2,1,10,9,8]=>[8,9,10,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,[.,.]]]
[9,4,3,8,7,6,5,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[10,1,2,3,4,5,6,7,8,9]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[9,8,5,4,7,6,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[10,1,2,3,4,5,6,7,8,9]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[1,10,5,4,9,8,7,6,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[1,10,9,6,5,8,7,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[7,4,3,6,5,2,1,12,11,10,9,8]=>[7,6,5,4,3,2,1,12,11,10,9,8]=>[8,9,10,11,12,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,[.,[.,[.,.]]]]]
[11,4,3,10,7,6,9,8,5,2,1,12]=>[11,10,9,8,7,6,5,4,3,2,1,12]=>[12,1,2,3,4,5,6,7,8,9,10,11]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]],.]
[11,4,3,10,9,8,7,6,5,2,1,12]=>[11,10,9,8,7,6,5,4,3,2,1,12]=>[12,1,2,3,4,5,6,7,8,9,10,11]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]],.]
[7,6,5,4,3,2,1,12,11,10,9,8]=>[7,6,5,4,3,2,1,12,11,10,9,8]=>[8,9,10,11,12,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,[.,[.,[.,.]]]]]
[11,10,5,4,7,6,9,8,3,2,1,12]=>[11,10,9,8,7,6,5,4,3,2,1,12]=>[12,1,2,3,4,5,6,7,8,9,10,11]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]],.]
[11,10,5,4,9,8,7,6,3,2,1,12]=>[11,10,9,8,7,6,5,4,3,2,1,12]=>[12,1,2,3,4,5,6,7,8,9,10,11]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]],.]
[1,12,5,4,11,8,7,10,9,6,3,2]=>[1,12,11,10,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,10,11,12,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]
[1,12,5,4,11,10,9,8,7,6,3,2]=>[1,12,11,10,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,10,11,12,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]
[11,10,7,6,5,4,9,8,3,2,1,12]=>[11,10,9,8,7,6,5,4,3,2,1,12]=>[12,1,2,3,4,5,6,7,8,9,10,11]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]],.]
[11,10,9,6,5,8,7,4,3,2,1,12]=>[11,10,9,8,7,6,5,4,3,2,1,12]=>[12,1,2,3,4,5,6,7,8,9,10,11]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]],.]
[1,12,11,6,5,8,7,10,9,4,3,2]=>[1,12,11,10,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,10,11,12,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]
[1,12,11,6,5,10,9,8,7,4,3,2]=>[1,12,11,10,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,10,11,12,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]
[11,10,9,8,7,6,5,4,3,2,1,12]=>[11,10,9,8,7,6,5,4,3,2,1,12]=>[12,1,2,3,4,5,6,7,8,9,10,11]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]],.]
[1,12,11,8,7,6,5,10,9,4,3,2]=>[1,12,11,10,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,10,11,12,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]
[1,12,11,10,7,6,9,8,5,4,3,2]=>[1,12,11,10,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,10,11,12,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]
[1,12,11,10,9,8,7,6,5,4,3,2]=>[1,12,11,10,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,10,11,12,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]
[1,5,7,2,4,3,6,8]=>[1,6,7,4,5,2,3,8]=>[8,3,2,5,4,7,6,1]=>[[[[.,.],.],[[.,.],[[.,.],.]]],.]
[1,6,5,3,2,4,7,8]=>[1,6,5,4,3,2,7,8]=>[8,7,2,3,4,5,6,1]=>[[[[.,.],[.,[.,[.,[.,.]]]]],.],.]
[1,4,7,2,6,5,3,8]=>[1,7,6,4,5,3,2,8]=>[8,2,3,5,4,6,7,1]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[1,2,6,8,7,4,3,5]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,2,7,4,3,5,8,6]=>[1,2,8,5,4,6,7,3]=>[3,7,6,4,5,8,2,1]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]
[1,6,2,8,7,4,3,5]=>[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,7,4,2,3,5,8,6]=>[1,8,5,4,3,6,7,2]=>[2,7,6,3,4,5,8,1]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[1,8,5,2,3,6,4,7]=>[1,8,7,4,5,6,3,2]=>[2,3,6,5,4,7,8,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[1,7,4,8,5,2,3,6]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,4,7,5,2,8,6,3]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,8,5,2,7,4,3,6]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,4,8,7,5,3,2,6]=>[1,7,8,6,5,4,2,3]=>[3,2,4,5,6,8,7,1]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[1,2,5,8,6,3,7,4]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,2,4,7,5,8,6,3]=>[1,2,8,7,5,6,4,3]=>[3,4,6,5,7,8,2,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[1,5,8,7,6,2,4,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,3,5,8,7,6,2,4]=>[1,7,8,6,5,4,2,3]=>[3,2,4,5,6,8,7,1]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[1,6,8,7,5,3,2,4]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,2,5,7,4,3,8,6]=>[1,2,6,8,5,3,7,4]=>[4,7,3,5,8,6,2,1]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]
[1,5,3,2,6,8,7,4]=>[1,8,4,3,5,7,6,2]=>[2,6,7,5,3,4,8,1]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]
[1,4,2,6,8,7,5,3]=>[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,5,8,6,3,2,7,4]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,5,2,6,3,4,7]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,6,3,2,8,5,4,7]=>[1,7,4,3,8,6,2,5]=>[5,2,6,8,3,4,7,1]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]
[1,3,8,6,4,2,5,7]=>[1,6,8,7,5,2,4,3]=>[3,4,2,5,7,8,6,1]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]
[6,3,7,5,4,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,5,2,6,3,4,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,8,2,7,5,4,1,6]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[5,4,8,6,7,1,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,7,3,6,8,5,4,1]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,7,2,8,1,6,4,5]=>[5,8,3,7,1,6,4,2]=>[2,4,6,1,7,3,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[8,5,2,4,6,7,3,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,5,8,7,1,4,3,6]=>[5,7,8,6,1,4,2,3]=>[3,2,4,1,6,8,7,5]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]]
[3,4,6,5,8,2,7,1]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[4,2,7,1,6,8,3,5]=>[7,4,8,2,5,6,1,3]=>[3,1,6,5,2,8,4,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[5,2,8,6,4,7,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,1,3,4,7,2,8,5]=>[8,2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[8,4,7,2,5,3,1,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,3,4,5,2,1,7,6]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,6,1,4,7,3,5,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,3,6,7,2,8,4,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,3,6,7,2,4,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,6,4,2,7,1,5,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,1,4,7,5,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,5,8,2,6,7,4,3]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[7,1,3,6,5,2,8,4]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[8,2,1,4,5,7,6,3]=>[8,3,2,7,5,6,4,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[6,1,7,5,4,2,8,3]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[2,7,3,6,5,1,8,4]=>[6,8,3,5,4,1,7,2]=>[2,7,1,4,5,3,8,6]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[8,6,5,1,3,7,4,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,7,6,2,4,8,1,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,7,5,6,4,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,6,8,1,3,5,4,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,8,4,6,1,7,5,3]=>[5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[2,8,6,4,7,3,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,1,4,6,5,3,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,5,8,6,7,1,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,1,5,8,6,2,4,7]=>[6,2,7,8,5,1,3,4]=>[4,3,1,5,8,7,2,6]=>[[[.,[.,.]],.],[.,[[[.,.],.],.]]]
[2,5,4,6,8,1,3,7]=>[6,7,3,4,8,1,2,5]=>[5,2,1,8,4,3,7,6]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]
[6,5,2,4,7,8,1,3]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[7,2,5,8,6,4,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,2,8,3,4,7,6,1]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[2,4,3,8,7,1,6,5]=>[6,3,2,8,7,1,5,4]=>[4,5,1,7,8,2,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]
[1,5,8,7,4,2,6,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,8,7,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,3,4,8,6,2,7,1]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[3,4,5,8,6,2,7,1]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[5,1,7,4,3,6,8,2]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[8,1,4,7,2,3,5,6]=>[8,2,6,7,5,3,4,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[6,1,8,5,2,7,3,4]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,7,2,6,3,1,4,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,1,6,4,5,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,4,1,3,7,2,8,6]=>[6,4,3,2,8,1,7,5]=>[5,7,1,8,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[8,3,4,7,6,2,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,1,8,7,5,2,4,6]=>[6,2,8,7,5,1,4,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[6,5,8,7,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,3,6,5,8,2,1,7]=>[7,6,4,3,8,2,1,5]=>[5,1,2,8,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[7,6,3,2,8,5,4,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,2,6,8,7,1,4,5]=>[6,2,8,7,5,1,4,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[4,3,7,1,8,5,2,6]=>[7,4,8,2,6,5,1,3]=>[3,1,5,6,2,8,4,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[3,2,8,5,6,7,1,4]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[4,7,3,1,8,5,2,6]=>[7,8,4,3,6,5,1,2]=>[2,1,5,6,3,4,8,7]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]
[3,7,8,2,5,6,1,4]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[7,5,1,4,2,3,6,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[7,8,6,1,2,4,5,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,1,2,4,7,8,6,3]=>[8,2,3,4,7,6,5,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[5,1,7,8,6,2,3,4]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,5,1,6,7,2,3,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,5,1,2,4,6,8,3]=>[8,6,3,4,5,2,7,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[6,1,5,2,7,3,4,8]=>[7,2,6,4,5,3,1,8]=>[8,1,3,5,4,6,2,7]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[1,8,3,6,4,5,7,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,1,6,2,7,3,4,5]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,1,6,2,5,3,4,8]=>[7,2,6,4,5,3,1,8]=>[8,1,3,5,4,6,2,7]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[8,1,6,2,5,3,4,7]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,1,7,2,5,3,4,6]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,1,2,7,4,5,6,3]=>[8,2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[1,8,3,7,4,5,6,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,1,6,7,5,2,3,4]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,1,2,8,5,6,7,4]=>[3,2,1,8,7,6,5,4]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[1,7,3,4,6,8,5,2]=>[1,8,7,4,5,6,3,2]=>[2,3,6,5,4,7,8,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[1,7,3,8,4,5,6,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,1,8,2,5,3,4,6]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,1,7,2,5,3,4,8]=>[7,2,6,4,5,3,1,8]=>[8,1,3,5,4,6,2,7]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[5,1,7,2,6,3,4,8]=>[7,2,6,4,5,3,1,8]=>[8,1,3,5,4,6,2,7]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[2,4,7,3,5,1,6,8]=>[6,4,7,2,5,1,3,8]=>[8,3,1,5,2,7,4,6]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[2,4,8,6,3,5,1,7]=>[7,5,8,6,2,4,1,3]=>[3,1,4,2,6,8,5,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[2,3,7,5,4,1,6,8]=>[6,2,7,5,4,1,3,8]=>[8,3,1,4,5,7,2,6]=>[[[.,[.,.]],[.,[.,[[.,.],.]]]],.]
[3,4,6,2,1,5,8,7]=>[5,4,6,2,1,3,8,7]=>[7,8,3,1,2,6,4,5]=>[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]
[3,4,7,2,1,6,5,8]=>[5,4,7,2,1,6,3,8]=>[8,3,6,1,2,7,4,5]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[2,4,7,1,3,6,8,5]=>[4,5,8,1,2,6,7,3]=>[3,7,6,2,1,8,5,4]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]
[5,4,7,8,1,3,2,6]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[2,5,7,1,4,6,3,8]=>[4,7,6,1,5,3,2,8]=>[8,2,3,5,1,6,7,4]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[2,4,7,1,6,3,5,8]=>[4,6,7,1,5,2,3,8]=>[8,3,2,5,1,7,6,4]=>[[[[.,.],.],[[.,.],[[.,.],.]]],.]
[2,3,7,1,6,5,4,8]=>[4,2,7,1,6,5,3,8]=>[8,3,5,6,1,7,2,4]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[2,5,7,1,4,3,6,8]=>[4,6,7,1,5,2,3,8]=>[8,3,2,5,1,7,6,4]=>[[[[.,.],.],[[.,.],[[.,.],.]]],.]
[2,5,7,3,1,4,6,8]=>[5,6,7,4,1,2,3,8]=>[8,3,2,1,4,7,6,5]=>[[[[.,.],.],[.,[[[.,.],.],.]]],.]
[3,4,7,2,1,6,8,5]=>[5,4,8,2,1,6,7,3]=>[3,7,6,1,2,8,4,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[4,6,3,7,1,5,2,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,7,3,2,8,1,4,6]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[2,6,5,7,1,8,4,3]=>[5,8,7,4,1,6,3,2]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[3,6,8,5,4,1,7,2]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[5,4,7,8,1,3,6,2]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[2,5,7,1,4,6,8,3]=>[4,8,6,1,5,3,7,2]=>[2,7,3,5,1,6,8,4]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[2,4,7,1,6,3,8,5]=>[4,6,8,1,5,2,7,3]=>[3,7,2,5,1,8,6,4]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]
[2,4,7,1,6,8,3,5]=>[4,7,8,1,5,6,2,3]=>[3,2,6,5,1,8,7,4]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]
[2,4,8,3,1,7,6,5]=>[5,4,8,2,1,7,6,3]=>[3,6,7,1,2,8,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[8,6,5,1,2,4,3,7]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,6,1,4,2,3,5,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[8,7,1,4,3,2,5,6]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,7,5,1,4,2,3,6]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,4,1,2,5,3,6,7]=>[8,6,3,4,5,2,7,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[8,7,5,1,4,2,6,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,6,1,4,2,5,3,7]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,7,1,4,3,2,6,5]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,7,6,3,1,5,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,8,3,7,4,5,6,1]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,7,5,2,4,3,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,9,1,8,7,6,5,4,3]=>[3,9,1,8,7,6,5,4,2]=>[2,4,5,6,7,8,1,9,3]=>[[.,.],[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,2,5,7,3,1,6,8]=>[6,5,3,7,2,1,4,8]=>[8,4,1,2,7,3,5,6]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[8,2,4,5,3,1,6,7]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,4,5,1,3,2,6,7]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,3,7,5,2,1,6,8]=>[6,5,7,4,2,1,3,8]=>[8,3,1,2,4,7,5,6]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[1,6,7,4,3,2,5,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[1,4,5,7,3,2,6,8]=>[1,6,5,7,3,2,4,8]=>[8,4,2,3,7,5,6,1]=>[[[[.,.],[.,.]],[[.,[.,.]],.]],.]
[3,5,1,4,7,2,6,8]=>[6,4,3,2,7,1,5,8]=>[8,5,1,7,2,3,4,6]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[2,5,1,4,7,8,3,6]=>[3,7,1,4,8,6,2,5]=>[5,2,6,8,4,1,7,3]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]
[4,3,7,1,5,2,6,8]=>[6,4,7,2,5,1,3,8]=>[8,3,1,5,2,7,4,6]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[3,5,1,6,4,2,7,8]=>[6,5,3,4,2,1,7,8]=>[8,7,1,2,4,3,5,6]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[6,4,3,1,7,2,5,8]=>[7,6,4,3,5,2,1,8]=>[8,1,2,5,3,4,6,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[6,2,7,4,3,1,5,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[2,6,4,1,7,3,5,8]=>[4,7,6,1,5,3,2,8]=>[8,2,3,5,1,6,7,4]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[6,3,2,7,4,5,1,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[7,2,4,1,3,6,8,5]=>[8,4,5,2,3,6,7,1]=>[1,7,6,3,2,5,4,8]=>[.,[[[[.,.],[[.,.],.]],.],[.,.]]]
[6,3,2,5,7,1,4,8]=>[7,6,3,4,5,2,1,8]=>[8,1,2,5,4,3,6,7]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[3,2,6,5,7,1,4,8]=>[6,2,7,4,5,1,3,8]=>[8,3,1,5,4,7,2,6]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[2,1,7,3,5,6,8,4]=>[2,1,8,4,6,5,7,3]=>[3,7,5,6,4,8,1,2]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[1,4,6,5,2,7,3,8]=>[1,7,5,4,3,6,2,8]=>[8,2,6,3,4,5,7,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[5,6,2,1,4,3,7,8]=>[6,5,4,3,2,1,7,8]=>[8,7,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[2,5,1,6,4,3,7,8]=>[3,6,1,5,4,2,7,8]=>[8,7,2,4,5,1,6,3]=>[[[[.,.],[[.,.],[.,[.,.]]]],.],.]
[2,5,4,1,6,3,7,8]=>[4,6,3,1,5,2,7,8]=>[8,7,2,5,1,3,6,4]=>[[[[.,.],[[.,[.,.]],[.,.]]],.],.]
[4,6,1,5,2,7,3,8]=>[7,5,3,4,2,6,1,8]=>[8,1,6,2,4,3,5,7]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[1,6,5,3,7,2,4,8]=>[1,7,6,4,5,3,2,8]=>[8,2,3,5,4,6,7,1]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[1,2,5,4,7,3,6,8]=>[1,2,6,4,7,3,5,8]=>[8,5,3,7,4,6,2,1]=>[[[[[.,.],.],[.,.]],[[.,.],.]],.]
[1,2,5,3,4,8,7,6]=>[1,2,5,4,3,8,7,6]=>[6,7,8,3,4,5,2,1]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]
[5,2,7,6,1,8,4,3]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[5,8,2,6,1,7,4,3]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[1,7,8,2,4,6,5,3]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,5,8,3,6,2,7,4]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,8,7,1,4,5,2,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,2,7,8,3,5,6,4]=>[1,2,8,7,5,6,4,3]=>[3,4,6,5,7,8,2,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[4,8,7,6,2,1,5,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,6,1,8,5,4,3,7]=>[3,7,1,8,6,5,2,4]=>[4,2,5,6,8,1,7,3]=>[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]
[5,8,6,2,3,4,1,7]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[5,8,6,2,1,4,3,7]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[4,5,8,6,2,1,3,7]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[6,4,7,5,8,2,1,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,3,7,4,2,5,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,2,1,5,8,4,3,7]=>[7,3,2,6,8,4,1,5]=>[5,1,4,8,6,2,3,7]=>[[.,[[.,[.,.]],.]],[[.,[.,.]],.]]
[7,5,6,2,4,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,6,2,5,7,3,8,1]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[4,2,8,5,3,6,1,7]=>[7,5,8,4,2,6,1,3]=>[3,1,6,2,4,8,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[8,1,7,4,5,6,2,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,1,7,8,4,5,6,3]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[8,2,1,4,3,7,6,5]=>[8,3,2,5,4,7,6,1]=>[1,6,7,4,5,2,3,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[7,6,5,3,1,2,8,4]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,4,1,6,2,8,3,7]=>[7,5,3,4,2,8,1,6]=>[6,1,8,2,4,3,5,7]=>[[.,[.,[[.,.],[.,.]]]],[[.,.],.]]
[6,2,3,1,7,8,4,5]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[3,1,8,6,7,2,4,5]=>[6,2,8,7,5,1,4,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[4,2,5,1,8,6,7,3]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[4,5,3,7,1,6,8,2]=>[8,5,3,6,2,4,7,1]=>[1,7,4,2,6,3,5,8]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[4,2,8,5,3,6,7,1]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[2,8,6,3,5,4,7,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,5,2,8,6,4,7,1]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[7,3,5,1,6,4,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[1,8,2,5,6,4,7,3]=>[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[2,7,1,4,8,5,6,3]=>[3,8,1,7,6,5,4,2]=>[2,4,5,6,7,1,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[2,8,4,6,1,3,7,5]=>[5,8,6,7,1,3,4,2]=>[2,4,3,1,7,6,8,5]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]
[8,4,6,2,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,3,7,6,2,1,5,4]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[8,5,2,7,6,1,4,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,2,7,6,1,4,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,3,7,6,2,5,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,3,8,6,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[9,8,7,6,1,2,3,4,5,10]=>[9,8,7,6,5,4,3,2,1,10]=>[10,1,2,3,4,5,6,7,8,9]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[2,6,3,7,5,4,8,1]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[5,4,7,1,3,8,6,2]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[2,8,5,1,4,7,3,6]=>[4,8,7,1,5,6,3,2]=>[2,3,6,5,1,7,8,4]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[8,1,7,6,3,4,2,5]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,4,2,5,7,3,6]=>[8,2,7,4,5,6,3,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[7,2,6,5,8,4,3,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,4,8,5,6,2,7,1]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[5,8,2,3,4,6,1,7]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[6,1,3,4,2,5,7,8]=>[6,2,5,4,3,1,7,8]=>[8,7,1,3,4,5,2,6]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[1,5,6,3,2,4,7,8]=>[1,6,5,4,3,2,7,8]=>[8,7,2,3,4,5,6,1]=>[[[[.,.],[.,[.,[.,[.,.]]]]],.],.]
[6,3,5,2,4,1,7,8]=>[6,5,4,3,2,1,7,8]=>[8,7,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[7,8,3,5,2,4,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,4,5,7,3,6,1,8]=>[7,5,3,6,2,4,1,8]=>[8,1,4,2,6,3,5,7]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[2,5,3,1,6,4,7,8]=>[4,6,3,1,5,2,7,8]=>[8,7,2,5,1,3,6,4]=>[[[[.,.],[[.,[.,.]],[.,.]]],.],.]
[6,5,1,3,4,2,7,8]=>[6,5,3,4,2,1,7,8]=>[8,7,1,2,4,3,5,6]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[5,7,4,3,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,8,7,4,3,5,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,6,7,8,4,3,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,7,8,4,5,3,6,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,1,8,5,3,4,6,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,7,4,2,1,6,3,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,1,4,7,3,6,2,8]=>[7,2,5,6,3,4,1,8]=>[8,1,4,3,6,5,2,7]=>[[.,[[[.,.],.],[[.,.],[.,.]]]],.]
[7,4,8,6,3,5,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,7,6,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,6,5,8,7,4,2,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,1,3,8,7,5,2,4]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,6,2,1,8,3,5,4]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[7,1,3,6,8,2,5,4]=>[8,2,6,7,5,3,4,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[1,7,5,6,8,2,4,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,6,7,5,8,2,4,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,7,4,5,2,8,6,3]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[7,5,4,2,1,8,6,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,6,7,4,2,8,5,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,6,3,2,7,8,5,1]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[7,6,1,3,4,2,5,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[7,8,2,6,4,5,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,2,5,4,6,1,3,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,1,2,4,5,6,3,8]=>[7,2,3,6,5,4,1,8]=>[8,1,4,5,6,3,2,7]=>[[.,[[[.,.],.],[.,[.,[.,.]]]]],.]
[2,1,6,4,7,5,3,8]=>[2,1,7,6,5,4,3,8]=>[8,3,4,5,6,7,1,2]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[7,2,8,5,6,4,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,8,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,1,8,4,6,5,3,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,8,6,3,1,5,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,1,4,5,3,2,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[5,1,2,8,4,6,7,3]=>[8,2,3,7,5,6,4,1]=>[1,4,6,5,7,3,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[5,6,3,2,8,1,7,4]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[8,2,6,3,1,5,7,4]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[8,2,5,6,7,4,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,2,5,3,4,7,6,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,5,3,2,4,1,8,6]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,1,2,3,6,8,4,5]=>[8,2,3,4,7,6,5,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[6,7,2,8,3,4,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,1,8,4,6,5,7,2]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,1,2,3,8,4,7,5]=>[8,2,3,4,7,6,5,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[8,1,6,7,4,2,3,5]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,6,4,5,2,3,7]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,6,4,5,2,7,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,6,4,7,2,3,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,4,1,2,3,7,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,6,1,4,2,5,7,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,6,7,4,2,5,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,4,2,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,4,2,5,3,1,7]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,4,2,7,3,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,4,1,5,7,2,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,6,4,2,1,5,7,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,4,2,1,7,3,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,1,4,7,2,5,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,6,4,1,5,2,3,7]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,6,7,1,4,5,2,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,6,4,5,2,7,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,7,4,2,1,5,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,4,7,2,1,5,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,4,2,5,7,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,4,2,5,1,7,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,4,2,5,7,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,4,7,5,8,2,6,1]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[8,7,1,4,6,5,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,3,7,6,4,5,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,3,8,6,4,1,7,2]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[7,4,5,1,2,8,6,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,4,7,1,8,5,2,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,7,4,2,3,8,6,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,8,2,5,1,7,4,6]=>[5,8,3,7,1,6,4,2]=>[2,4,6,1,7,3,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[5,8,4,2,3,7,1,6]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[4,8,5,2,1,7,3,6]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[8,5,7,6,1,2,4,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,7,5,2,4,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,7,6,8,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,3,1,6,8,5,4,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,3,1,7,4,8,6,2]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[7,3,1,8,6,4,5,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,6,4,1,7,3,2,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,6,8,3,7,1,2,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[3,5,2,8,4,7,1,6]=>[7,5,3,8,2,6,1,4]=>[4,1,6,2,8,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[6,4,8,3,7,2,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,6,2,8,7,4,1,5]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[6,8,4,2,7,3,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[9,8,7,6,4,5,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[5,6,7,9,8,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[5,6,7,8,9,1,4,3,2]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[3,4,7,8,5,1,2,6]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[4,7,3,2,5,6,8,1]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[3,2,7,6,4,5,8,1]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[1,7,3,6,8,4,2,5]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,3,6,5,1,8,7,4]=>[5,2,8,4,1,7,6,3]=>[3,6,7,1,4,8,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[8,3,1,2,6,4,7,5]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[1,7,8,2,4,3,5,6]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[3,6,4,7,1,2,8,5]=>[6,8,5,4,3,1,7,2]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[5,7,4,8,1,3,2,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[4,3,7,8,1,5,2,6]=>[7,5,8,6,2,4,1,3]=>[3,1,4,2,6,8,5,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[8,5,4,2,6,1,7,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,2,6,8,7,4,1,5]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[2,3,7,5,1,8,6,4]=>[5,2,8,7,1,6,4,3]=>[3,4,6,1,7,8,2,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[6,3,1,2,8,7,4,5]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[5,2,1,3,8,7,6,4]=>[8,3,2,4,7,6,5,1]=>[1,5,6,7,4,2,3,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[7,2,1,5,3,8,4,6]=>[8,3,2,7,5,6,4,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[1,5,8,2,4,3,6,7]=>[1,6,8,4,5,2,7,3]=>[3,7,2,5,4,8,6,1]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]
[4,3,6,8,1,5,2,7]=>[7,5,6,8,2,3,1,4]=>[4,1,3,2,8,6,5,7]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]
[5,4,6,8,3,1,7,2]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[3,6,8,4,5,1,7,2]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[8,6,1,7,2,4,3,5]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,3,1,2,8,6,4,5]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[2,3,7,6,1,8,5,4]=>[5,2,8,7,1,6,4,3]=>[3,4,6,1,7,8,2,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[3,2,7,8,6,4,1,5]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[6,2,8,3,1,4,7,5]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[3,1,2,8,7,4,5,6]=>[3,2,1,8,7,6,5,4]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[2,1,3,8,7,4,6,5]=>[2,1,3,8,7,6,5,4]=>[4,5,6,7,8,3,1,2]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]
[2,1,3,8,7,4,5,6]=>[2,1,3,8,7,6,5,4]=>[4,5,6,7,8,3,1,2]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]
[1,6,8,3,2,4,7,5]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[8,5,1,7,2,4,3,6]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,4,1,7,3,2,5,6]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[8,3,1,6,2,7,5,4]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[1,3,2,8,7,6,4,5]=>[1,3,2,8,7,6,5,4]=>[4,5,6,7,8,2,3,1]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]
[2,1,3,8,7,6,4,5]=>[2,1,3,8,7,6,5,4]=>[4,5,6,7,8,3,1,2]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]
[2,4,3,1,6,5,8,7,10,9]=>[4,3,2,1,6,5,8,7,10,9]=>[9,10,7,8,5,6,1,2,3,4]=>[[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]],[.,.]]
[1,6,3,7,2,5,4,8]=>[1,7,5,6,3,4,2,8]=>[8,2,4,3,6,5,7,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[5,7,2,8,4,1,3,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[5,6,2,8,4,1,3,7]=>[7,6,5,8,3,2,1,4]=>[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[2,4,8,3,1,6,7,5]=>[5,4,8,2,1,7,6,3]=>[3,6,7,1,2,8,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[3,5,8,4,2,1,6,7]=>[6,5,8,4,2,1,7,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[2,5,8,3,1,4,6,7]=>[5,6,8,4,1,2,7,3]=>[3,7,2,1,4,8,6,5]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]
[5,4,7,8,3,2,6,1]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[3,6,8,7,2,5,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,4,6,5,8,2,1,7]=>[7,6,4,3,8,2,1,5]=>[5,1,2,8,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[2,4,6,7,8,3,5,1]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[1,2,6,8,3,5,4,7]=>[1,2,7,8,5,6,3,4]=>[4,3,6,5,8,7,2,1]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]
[1,6,8,3,5,4,2,7]=>[1,7,8,6,5,4,2,3]=>[3,2,4,5,6,8,7,1]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[1,5,3,2,4,6,8,7]=>[1,5,4,3,2,6,8,7]=>[7,8,6,2,3,4,5,1]=>[[[[.,.],[.,[.,[.,.]]]],.],[.,.]]
[1,5,8,7,6,3,2,4]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,5,7,6,3,2,4,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[1,6,3,2,4,8,7,5]=>[1,8,4,3,5,7,6,2]=>[2,6,7,5,3,4,8,1]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]
[1,2,7,6,4,3,5,8]=>[1,2,7,6,5,4,3,8]=>[8,3,4,5,6,7,2,1]=>[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]
[1,8,7,5,2,4,6,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,7,5,2,4,6,3,8]=>[1,7,6,4,5,3,2,8]=>[8,2,3,5,4,6,7,1]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[1,7,4,2,5,3,6,8]=>[1,7,6,4,5,3,2,8]=>[8,2,3,5,4,6,7,1]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[1,8,4,7,5,2,6,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,7,5,2,3,6,4,8]=>[1,7,6,4,5,3,2,8]=>[8,2,3,5,4,6,7,1]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[1,7,5,2,6,3,4,8]=>[1,7,6,4,5,3,2,8]=>[8,2,3,5,4,6,7,1]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[1,6,3,7,4,2,5,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[1,4,7,5,2,6,3,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[1,3,6,4,8,7,5,2]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,3,2,4,8,5,7,6]=>[1,3,2,4,8,6,7,5]=>[5,7,6,8,4,2,3,1]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]
[1,3,8,7,5,2,4,6]=>[1,6,8,7,5,2,4,3]=>[3,4,2,5,7,8,6,1]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]
[1,4,6,3,2,7,5,8]=>[1,5,7,4,2,6,3,8]=>[8,3,6,2,4,7,5,1]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]
[1,5,7,6,4,2,3,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[1,6,3,5,2,7,4,8]=>[1,7,5,4,3,6,2,8]=>[8,2,6,3,4,5,7,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[1,8,3,7,5,2,4,6]=>[1,8,6,7,5,3,4,2]=>[2,4,3,5,7,6,8,1]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[6,4,7,1,5,3,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,3,8,2,6,4,7,1]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[4,3,8,2,6,5,7,1]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[2,6,1,8,3,4,7,5]=>[3,8,1,7,5,6,4,2]=>[2,4,6,5,7,1,8,3]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[5,7,1,4,8,2,3,6]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[6,5,7,1,4,3,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,8,3,5,7,6,1,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,7,6,1,2,4,8,3]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,8,3,5,7,6,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,3,4,2,8,5,7,6]=>[1,4,3,2,8,6,7,5]=>[5,7,6,8,2,3,4,1]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[5,7,6,2,4,8,3,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,7,5,2,3,8,4,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,7,5,3,8,4,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,2,1,4,8,5,7,6]=>[3,2,1,4,8,6,7,5]=>[5,7,6,8,4,1,2,3]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]
[7,3,1,4,2,6,5,8]=>[7,5,3,4,2,6,1,8]=>[8,1,6,2,4,3,5,7]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[7,4,1,6,2,5,3,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[5,4,1,8,2,6,3,7]=>[7,5,3,8,2,6,1,4]=>[4,1,6,2,8,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[5,3,1,8,2,6,4,7]=>[7,5,3,8,2,6,1,4]=>[4,1,6,2,8,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[4,7,1,5,2,6,3,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[6,5,1,4,2,7,3,8]=>[7,5,3,4,2,6,1,8]=>[8,1,6,2,4,3,5,7]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[1,8,7,3,4,5,2,6]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,9,3,4,5,6,7,2]=>[1,9,8,7,5,6,4,3,2]=>[2,3,4,6,5,7,8,9,1]=>[[.,.],[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,8,7,4,5,2,3,6]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,2,6,8,7,3,4,5]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,3,7,8,4,5,6,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,4,2,3,1,6,5,7]=>[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[6,4,5,2,8,1,7,3]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[4,8,6,2,3,1,7,5]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[6,4,2,1,8,5,3,7]=>[7,6,4,3,8,2,1,5]=>[5,1,2,8,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[4,2,6,1,5,8,3,7]=>[7,4,5,2,3,8,1,6]=>[6,1,8,3,2,5,4,7]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]
[6,4,2,3,5,8,1,7]=>[7,5,4,3,2,8,1,6]=>[6,1,8,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[2,8,6,4,5,1,7,3]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[8,2,4,6,7,1,5,3]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[6,5,1,8,3,2,7,4]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[1,4,3,7,2,8,6,5]=>[1,5,3,8,2,7,6,4]=>[4,6,7,2,8,3,5,1]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[1,8,7,4,5,3,2,6]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,8,3,1,4,5,7,6]=>[4,8,3,1,5,6,7,2]=>[2,7,6,5,1,3,8,4]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]
[6,1,7,2,8,4,5,3]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,3,2,1,5,6,7,4]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[3,2,6,7,8,4,5,1]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,7,4,6,3,8,2,5]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[5,6,4,1,3,8,2,7]=>[7,5,4,3,2,8,1,6]=>[6,1,8,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[4,5,3,1,8,7,6,2]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[6,3,4,2,7,8,5,1]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[8,7,4,5,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,2,7,8,1,3,5,4]=>[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[5,1,8,4,3,7,2,6]=>[7,2,8,5,4,6,1,3]=>[3,1,6,4,5,8,2,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[7,2,8,1,4,5,6,3]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[1,4,8,2,5,6,7,3]=>[1,8,7,4,5,6,3,2]=>[2,3,6,5,4,7,8,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[2,1,4,3,6,5,8,10,9,7]=>[2,1,4,3,6,5,10,9,8,7]=>[7,8,9,10,5,6,3,4,1,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,[.,[.,.]]]]
[2,1,4,3,6,8,7,5,10,9]=>[2,1,4,3,8,7,6,5,10,9]=>[9,10,5,6,7,8,3,4,1,2]=>[[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]],[.,.]]
[2,1,4,3,8,10,7,9,5,6]=>[2,1,4,3,10,9,8,7,6,5]=>[5,6,7,8,9,10,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,4,6,5,3,8,7,10,9]=>[2,1,6,5,4,3,8,7,10,9]=>[9,10,7,8,3,4,5,6,1,2]=>[[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]],[.,.]]
[2,1,4,6,5,3,8,10,9,7]=>[2,1,6,5,4,3,10,9,8,7]=>[7,8,9,10,3,4,5,6,1,2]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[2,1,6,8,5,7,3,4,10,9]=>[2,1,8,7,6,5,4,3,10,9]=>[9,10,3,4,5,6,7,8,1,2]=>[[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[2,1,8,5,10,6,7,9,3,4]=>[2,1,10,9,8,7,6,5,4,3]=>[3,4,5,6,7,8,9,10,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,4,3,1,6,5,8,10,9,7]=>[4,3,2,1,6,5,10,9,8,7]=>[7,8,9,10,5,6,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],[.,.]],[.,[.,[.,.]]]]
[2,4,3,1,6,8,7,5,10,9]=>[4,3,2,1,8,7,6,5,10,9]=>[9,10,5,6,7,8,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]],[.,.]]
[2,4,3,1,8,10,7,9,5,6]=>[4,3,2,1,10,9,8,7,6,5]=>[5,6,7,8,9,10,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]]
[4,6,3,5,1,2,8,7,10,9]=>[6,5,4,3,2,1,8,7,10,9]=>[9,10,7,8,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]],[.,.]]
[4,6,3,5,1,2,8,10,9,7]=>[6,5,4,3,2,1,10,9,8,7]=>[7,8,9,10,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]]
[6,3,8,4,5,7,1,2,10,9]=>[8,7,6,5,4,3,2,1,10,9]=>[9,10,1,2,3,4,5,6,7,8]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]]
[8,5,10,4,7,6,2,9,1,3]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[2,7,10,4,8,6,9,5,1,3]=>[9,10,8,7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7,8,10,9]=>[[.,.],[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]
[2,1,4,3,6,5,8,7,10,12,11,9]=>[2,1,4,3,6,5,8,7,12,11,10,9]=>[9,10,11,12,7,8,5,6,3,4,1,2]=>[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,[.,[.,.]]]]
[2,1,4,3,6,5,8,10,9,7,12,11]=>[2,1,4,3,6,5,10,9,8,7,12,11]=>[11,12,7,8,9,10,5,6,3,4,1,2]=>[[[[[.,[.,.]],[.,.]],[.,.]],[.,[.,[.,.]]]],[.,.]]
[2,1,4,3,6,5,10,12,9,11,7,8]=>[2,1,4,3,6,5,12,11,10,9,8,7]=>[7,8,9,10,11,12,5,6,3,4,1,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,4,3,6,8,7,5,10,9,12,11]=>[2,1,4,3,8,7,6,5,10,9,12,11]=>[11,12,9,10,5,6,7,8,3,4,1,2]=>[[[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]],[.,.]],[.,.]]
[2,1,4,3,6,8,7,5,10,12,11,9]=>[2,1,4,3,8,7,6,5,12,11,10,9]=>[9,10,11,12,5,6,7,8,3,4,1,2]=>[[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[2,1,4,3,8,10,7,9,5,6,12,11]=>[2,1,4,3,10,9,8,7,6,5,12,11]=>[11,12,5,6,7,8,9,10,3,4,1,2]=>[[[[.,[.,.]],[.,.]],[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[2,1,4,3,10,7,12,8,9,11,5,6]=>[2,1,4,3,12,11,10,9,8,7,6,5]=>[5,6,7,8,9,10,11,12,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,1,4,6,5,3,8,7,10,9,12,11]=>[2,1,6,5,4,3,8,7,10,9,12,11]=>[11,12,9,10,7,8,3,4,5,6,1,2]=>[[[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]],[.,.]],[.,.]]
[2,1,4,6,5,3,8,7,10,12,11,9]=>[2,1,6,5,4,3,8,7,12,11,10,9]=>[9,10,11,12,7,8,3,4,5,6,1,2]=>[[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]],[.,[.,[.,.]]]]
[2,1,4,6,5,3,8,10,9,7,12,11]=>[2,1,6,5,4,3,10,9,8,7,12,11]=>[11,12,7,8,9,10,3,4,5,6,1,2]=>[[[[.,[.,.]],[.,[.,[.,.]]]],[.,[.,[.,.]]]],[.,.]]
[2,1,4,6,5,3,10,12,9,11,7,8]=>[2,1,6,5,4,3,12,11,10,9,8,7]=>[7,8,9,10,11,12,3,4,5,6,1,2]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,6,8,5,7,3,4,10,9,12,11]=>[2,1,8,7,6,5,4,3,10,9,12,11]=>[11,12,9,10,3,4,5,6,7,8,1,2]=>[[[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]],[.,.]],[.,.]]
[2,1,6,8,5,7,3,4,10,12,11,9]=>[2,1,8,7,6,5,4,3,12,11,10,9]=>[9,10,11,12,3,4,5,6,7,8,1,2]=>[[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]]
[2,1,8,5,10,6,7,9,3,4,12,11]=>[2,1,10,9,8,7,6,5,4,3,12,11]=>[11,12,3,4,5,6,7,8,9,10,1,2]=>[[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]]
[2,1,10,7,12,6,9,8,4,11,3,5]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[3,4,5,6,7,8,9,10,11,12,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[2,4,3,1,6,5,8,7,10,9,12,11]=>[4,3,2,1,6,5,8,7,10,9,12,11]=>[11,12,9,10,7,8,5,6,1,2,3,4]=>[[[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]],[.,.]],[.,.]]
[2,4,3,1,6,5,8,7,10,12,11,9]=>[4,3,2,1,6,5,8,7,12,11,10,9]=>[9,10,11,12,7,8,5,6,1,2,3,4]=>[[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]],[.,[.,[.,.]]]]
[2,4,3,1,6,5,8,10,9,7,12,11]=>[4,3,2,1,6,5,10,9,8,7,12,11]=>[11,12,7,8,9,10,5,6,1,2,3,4]=>[[[[.,[.,[.,[.,.]]]],[.,.]],[.,[.,[.,.]]]],[.,.]]
[2,4,3,1,6,5,10,12,9,11,7,8]=>[4,3,2,1,6,5,12,11,10,9,8,7]=>[7,8,9,10,11,12,5,6,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,4,3,1,6,8,7,5,10,9,12,11]=>[4,3,2,1,8,7,6,5,10,9,12,11]=>[11,12,9,10,5,6,7,8,1,2,3,4]=>[[[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]],[.,.]],[.,.]]
[2,4,3,1,6,8,7,5,10,12,11,9]=>[4,3,2,1,8,7,6,5,12,11,10,9]=>[9,10,11,12,5,6,7,8,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[2,4,3,1,8,10,7,9,5,6,12,11]=>[4,3,2,1,10,9,8,7,6,5,12,11]=>[11,12,5,6,7,8,9,10,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[2,4,3,1,10,7,12,8,9,11,5,6]=>[4,3,2,1,12,11,10,9,8,7,6,5]=>[5,6,7,8,9,10,11,12,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,6,3,5,1,2,8,7,10,9,12,11]=>[6,5,4,3,2,1,8,7,10,9,12,11]=>[11,12,9,10,7,8,1,2,3,4,5,6]=>[[[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]],[.,.]],[.,.]]
[4,6,3,5,1,2,8,7,10,12,11,9]=>[6,5,4,3,2,1,8,7,12,11,10,9]=>[9,10,11,12,7,8,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]],[.,[.,[.,.]]]]
[4,6,3,5,1,2,8,10,9,7,12,11]=>[6,5,4,3,2,1,10,9,8,7,12,11]=>[11,12,7,8,9,10,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]],[.,.]]
[4,6,3,5,1,2,10,12,9,11,7,8]=>[6,5,4,3,2,1,12,11,10,9,8,7]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,[.,[.,.]]]]]]
[6,3,8,4,5,7,1,2,10,9,12,11]=>[8,7,6,5,4,3,2,1,10,9,12,11]=>[11,12,9,10,1,2,3,4,5,6,7,8]=>[[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]],[.,.]]
[6,3,8,4,5,7,1,2,10,12,11,9]=>[8,7,6,5,4,3,2,1,12,11,10,9]=>[9,10,11,12,1,2,3,4,5,6,7,8]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,[.,[.,.]]]]
[8,5,10,4,7,6,2,9,1,3,12,11]=>[10,9,8,7,6,5,4,3,2,1,12,11]=>[11,12,1,2,3,4,5,6,7,8,9,10]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],[.,.]]
[10,7,12,4,8,6,9,5,2,11,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[8,1,6,7,2,5,4,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,5,2,3,6,8,4,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,1,4,6,5,3,2,7]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,4,7,6,5,2,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,2,7,6,5,4,3]=>[8,2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[4,5,8,1,6,7,2,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,2,8,6,1,5,7,4]=>[5,2,8,7,1,6,4,3]=>[3,4,6,1,7,8,2,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[3,7,2,5,8,4,6,1]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,7,8,4,1,5,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,2,7,4,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,8,2,5,3,4,1,7]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[6,8,7,5,4,1,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,4,5,6,1,8,2,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,3,5,2,8,1,7,4]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[6,1,8,7,4,5,2,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,8,7,1,6,3,2,5]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[4,8,2,7,5,3,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,3,2,6,8,7,4,5]=>[1,3,2,8,7,6,5,4]=>[4,5,6,7,8,2,3,1]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]
[1,6,2,5,8,7,3,4]=>[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,6,8,7,2,3,5,4]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,6,8,7,2,5,3,4]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,5,2,4,8,3,6,7]=>[1,6,3,4,8,2,7,5]=>[5,7,2,8,4,3,6,1]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]
[1,2,4,5,8,6,3,7]=>[1,2,7,4,8,6,3,5]=>[5,3,6,8,4,7,2,1]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]
[1,5,6,4,7,2,3,8]=>[1,7,6,4,5,3,2,8]=>[8,2,3,5,4,6,7,1]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[1,7,4,2,5,8,3,6]=>[1,8,7,4,5,6,3,2]=>[2,3,6,5,4,7,8,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[1,6,4,3,7,5,2,8]=>[1,7,6,4,5,3,2,8]=>[8,2,3,5,4,6,7,1]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[1,6,5,4,7,2,3,8]=>[1,7,6,4,5,3,2,8]=>[8,2,3,5,4,6,7,1]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[1,5,8,2,3,6,7,4]=>[1,8,7,4,5,6,3,2]=>[2,3,6,5,4,7,8,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[1,7,8,5,4,2,3,6]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,4,2,7,5,3,8,6]=>[1,6,3,8,5,2,7,4]=>[4,7,2,5,8,3,6,1]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[1,5,7,6,2,4,3,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[1,8,4,7,3,2,6,5]=>[1,8,6,7,5,3,4,2]=>[2,4,3,5,7,6,8,1]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[1,7,4,2,6,5,8,3]=>[1,8,6,4,5,3,7,2]=>[2,7,3,5,4,6,8,1]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[1,6,5,8,3,7,4,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,7,4,8,3,2,5,6]=>[1,8,6,7,5,3,4,2]=>[2,4,3,5,7,6,8,1]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[1,8,3,6,4,5,2,7]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,2,3,7,4,5,6,1]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,5,7,2,3,6,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,5,2,1,6,8,3,4]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[7,6,1,5,4,8,2,3]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[7,6,3,2,1,8,4,5]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,8,7,3,4,6,1,5]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[6,5,1,3,7,2,8,4]=>[8,6,3,4,5,2,7,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[8,1,7,3,4,5,2,6]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,1,8,3,4,5,2,6]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,8,7,3,4,2,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,8,7,1,2,4,5,6]=>[5,8,7,4,1,6,3,2]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,8,5,3,4,6,2,7]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[7,1,6,5,4,3,8,2]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[7,1,3,6,4,5,8,2]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[7,1,5,3,6,4,8,2]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[6,1,5,3,7,8,2,4]=>[8,2,7,4,5,6,3,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[5,8,7,1,2,6,3,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,8,2,3,4,7,1,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,1,7,3,8,6,2,4]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,2,1,3,4,7,8,5]=>[8,3,2,4,5,6,7,1]=>[1,7,6,5,4,2,3,8]=>[.,[[[[[.,[.,.]],.],.],.],[.,.]]]
[3,2,5,8,7,4,1,6]=>[7,2,6,8,5,3,1,4]=>[4,1,3,5,8,6,2,7]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]
[4,2,5,8,7,3,1,6]=>[7,6,3,8,5,2,1,4]=>[4,1,2,5,8,3,6,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[8,3,4,1,6,5,2,7]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[3,6,4,8,5,7,2,1]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[5,8,4,7,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,2,8,7,3,1,6,5]=>[6,5,8,7,2,1,4,3]=>[3,4,1,2,7,8,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]
[6,5,8,2,1,7,4,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,1,4,3,8,7,2,5]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,1,3,8,7,2,4,5]=>[8,2,6,7,5,3,4,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[1,2,8,4,5,7,3,6]=>[1,2,8,7,5,6,4,3]=>[3,4,6,5,7,8,2,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[4,2,1,8,7,6,3,5]=>[7,3,2,8,6,5,1,4]=>[4,1,5,6,8,2,3,7]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]
[3,2,5,8,7,1,4,6]=>[6,2,7,8,5,1,3,4]=>[4,3,1,5,8,7,2,6]=>[[[.,[.,.]],.],[.,[[[.,.],.],.]]]
[5,6,3,8,7,2,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,6,2,4,8,5,7,3]=>[1,8,3,6,7,4,5,2]=>[2,5,4,7,6,3,8,1]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[4,8,5,3,6,7,1,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,8,5,3,4,7,6,2]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[8,1,7,3,5,4,6,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,8,6,3,2,5,4,7]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[3,2,4,8,5,7,1,6]=>[7,2,3,8,5,6,1,4]=>[4,1,6,5,8,3,2,7]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[8,1,2,4,7,5,6,3]=>[8,2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[6,4,5,8,3,1,7,2]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[8,6,2,1,5,7,3,4]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[4,6,2,8,5,3,7,1]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[8,7,2,4,1,5,3,6]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[7,5,3,4,8,6,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,8,3,1,4,6,7,5]=>[4,8,3,1,5,7,6,2]=>[2,6,7,5,1,3,8,4]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]
[4,3,6,5,1,2,7,8]=>[6,5,4,3,2,1,7,8]=>[8,7,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[5,8,3,7,6,4,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,3,8,7,6,5,2,4]=>[1,7,8,6,5,4,2,3]=>[3,2,4,5,6,8,7,1]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[4,8,7,2,6,3,1,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[1,8,7,2,6,3,5,4]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[8,7,2,1,4,3,5,6]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[2,8,7,1,6,3,4,5]=>[4,8,7,1,6,5,3,2]=>[2,3,5,6,1,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[4,2,8,7,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,2,7,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,7,5,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,2,5,7,4,8,6,3]=>[1,2,8,7,5,6,4,3]=>[3,4,6,5,7,8,2,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[6,2,1,8,7,5,3,4]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[6,3,8,7,4,5,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,6,5,3,2,8,1,7]=>[7,5,4,3,2,8,1,6]=>[6,1,8,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[2,8,3,4,1,5,6,7]=>[5,8,3,4,1,6,7,2]=>[2,7,6,1,4,3,8,5]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]
[1,3,7,5,4,8,6,2]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[4,5,6,3,1,8,2,7]=>[7,5,4,3,2,8,1,6]=>[6,1,8,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[5,2,1,4,3,6,8,7]=>[5,3,2,4,1,6,8,7]=>[7,8,6,1,4,2,3,5]=>[[[.,[[.,[.,.]],[.,.]]],.],[.,.]]
[1,5,6,3,8,4,2,7]=>[1,7,6,4,8,3,2,5]=>[5,2,3,8,4,6,7,1]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]
[2,6,5,3,8,4,1,7]=>[7,6,4,3,8,2,1,5]=>[5,1,2,8,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[5,7,3,8,4,2,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,3,6,2,8,4,1,7]=>[7,6,4,3,8,2,1,5]=>[5,1,2,8,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[2,3,6,5,4,8,1,7]=>[7,2,5,4,3,8,1,6]=>[6,1,8,3,4,5,2,7]=>[[.,[[.,.],[.,[.,.]]]],[[.,.],.]]
[3,7,5,4,8,2,6,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,3,7,1,2,8,4,6]=>[7,5,8,4,2,6,1,3]=>[3,1,6,2,4,8,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[6,3,8,7,2,5,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,8,7,6,1,5,3,4]=>[5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[9,7,8,5,4,3,2,1,6]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[1,2,3,4,6,5,7,8,9]=>[1,2,3,4,6,5,7,8,9]=>[9,8,7,5,6,4,3,2,1]=>[[[[[[[[.,.],.],.],.],[.,.]],.],.],.]
[1,2,3,5,4,6,7,8,9]=>[1,2,3,5,4,6,7,8,9]=>[9,8,7,6,4,5,3,2,1]=>[[[[[[[[.,.],.],.],[.,.]],.],.],.],.]
[6,8,4,1,7,5,2,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,1,4,6,7,5,2,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,6,8,1,4,7,5,3]=>[4,8,7,1,6,5,3,2]=>[2,3,5,6,1,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[6,4,8,1,2,7,5,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,1,4,6,7,2,5,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,2,1,6,7,4,5,3]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[8,2,6,1,7,4,5,3]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[4,2,8,1,6,7,5,3]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,1,2,6,4,7,5,3]=>[8,2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[8,4,1,6,2,7,5,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,8,1,2,6,7,5,3]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[4,8,2,1,6,7,5,3]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[8,1,6,2,4,7,5,3]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,2,4,6,1,7,5,3]=>[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[5,4,7,6,3,1,2,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[3,6,4,8,1,5,2,7]=>[7,6,5,8,3,2,1,4]=>[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[3,6,8,4,1,5,2,7]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[8,7,1,4,2,3,5,6]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,8,6,4,1,5,2,7]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[8,2,6,5,7,1,3,4]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[4,6,1,3,2,8,7,5]=>[5,8,3,4,1,7,6,2]=>[2,6,7,1,4,3,8,5]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[7,1,4,8,2,3,6,5]=>[8,2,6,7,5,3,4,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[4,5,3,6,7,1,8,2]=>[8,6,3,4,5,2,7,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[1,4,7,8,3,5,2,6]=>[1,7,8,6,5,4,2,3]=>[3,2,4,5,6,8,7,1]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[4,6,1,3,5,2,8,7]=>[6,5,3,4,2,1,8,7]=>[7,8,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]
[2,5,1,4,8,3,7,6]=>[3,6,1,4,8,2,7,5]=>[5,7,2,8,4,1,6,3]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]
[6,1,2,5,4,8,7,3]=>[8,2,3,5,4,7,6,1]=>[1,6,7,4,5,3,2,8]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[8,4,1,7,3,5,6,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,4,1,2,5,7,3,6]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[3,4,5,8,6,2,1,7]=>[7,6,3,8,5,2,1,4]=>[4,1,2,5,8,3,6,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[4,5,1,8,6,3,7,2]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[8,3,7,2,1,6,5,4]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[8,4,7,6,2,5,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,7,3,6,2,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,8,7,5,6,4,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,8,7,5,6,2,1,4]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[3,8,7,5,6,2,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,8,7,5,6,4,1,3]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[6,3,7,8,2,4,5,9,1]=>[9,7,6,5,4,3,2,8,1]=>[1,8,2,3,4,5,6,7,9]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]]
[7,8,4,5,9,2,3,6,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[7,5,8,3,6,2,4,9,1]=>[9,7,6,5,4,3,2,8,1]=>[1,8,2,3,4,5,6,7,9]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]]
[8,6,4,9,3,7,2,5,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[6,7,8,9,2,3,4,5,10,1]=>[10,8,7,6,5,4,3,2,9,1]=>[1,9,2,3,4,5,6,7,8,10]=>[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]]
[7,8,9,10,1,3,4,5,6,2]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[7,3,8,9,10,2,4,5,6,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,5,9,3,6,10,2,4,7,1]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[8,9,6,7,4,5,2,3,10,1]=>[10,8,7,6,5,4,3,2,9,1]=>[1,9,2,3,4,5,6,7,8,10]=>[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]]
[8,6,4,9,3,7,2,5,10,1]=>[10,8,7,6,5,4,3,2,9,1]=>[1,9,2,3,4,5,6,7,8,10]=>[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]]
[9,7,5,4,10,3,8,2,6,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[2,6,3,8,4,7,1,5]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[2,6,3,5,7,8,1,4]=>[7,8,3,4,5,6,1,2]=>[2,1,6,5,4,3,8,7]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]
[1,5,6,3,7,2,8,4]=>[1,8,6,4,5,3,7,2]=>[2,7,3,5,4,6,8,1]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[1,4,5,3,7,2,8,6]=>[1,6,4,3,8,2,7,5]=>[5,7,2,8,3,4,6,1]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[1,4,5,3,8,2,7,6]=>[1,6,4,3,8,2,7,5]=>[5,7,2,8,3,4,6,1]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[6,5,1,4,2,7,8,3]=>[8,5,3,4,2,6,7,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]
[1,7,5,4,2,8,6,3]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[5,1,6,8,3,7,2,4]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,2,3,4,5,6,7,8,9,10,11]=>[1,2,3,4,5,6,7,8,9,10,11]=>[11,10,9,8,7,6,5,4,3,2,1]=>[[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.],.]
[1,10,9,6,3,8,4,5,7,2]=>[1,10,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[1,10,9,8,7,3,4,5,6,2]=>[1,10,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[3,1,2,10,7,5,9,6,8,4]=>[3,2,1,10,9,8,7,6,5,4]=>[4,5,6,7,8,9,10,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,1,2,10,9,8,5,6,7,4]=>[3,2,1,10,9,8,7,6,5,4]=>[4,5,6,7,8,9,10,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,4,1,2,3,10,9,7,8,6]=>[5,4,3,2,1,10,9,8,7,6]=>[6,7,8,9,10,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]]
[7,6,5,1,2,3,4,10,9,8]=>[7,6,5,4,3,2,1,10,9,8]=>[8,9,10,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,[.,.]]]
[7,6,5,1,2,3,9,4,8,10]=>[8,6,5,4,3,2,9,1,7,10]=>[10,7,1,9,2,3,4,5,6,8]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],[[.,.],.]],.]
[1,12,11,6,3,8,4,10,5,7,9,2]=>[1,12,11,10,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,10,11,12,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]
[1,12,11,6,3,10,9,4,5,7,8,2]=>[1,12,11,10,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,10,11,12,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]
[1,12,11,8,7,3,4,10,5,6,9,2]=>[1,12,11,10,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,10,11,12,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]
[1,12,11,10,7,3,9,4,5,6,8,2]=>[1,12,11,10,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,10,11,12,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]
[1,12,11,10,9,8,3,4,5,6,7,2]=>[1,12,11,10,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,10,11,12,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]
[7,6,5,1,2,3,4,12,11,9,10,8]=>[7,6,5,4,3,2,1,12,11,10,9,8]=>[8,9,10,11,12,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,[.,[.,[.,.]]]]]
[11,10,9,8,7,1,2,3,4,5,6,12]=>[11,10,9,8,7,6,5,4,3,2,1,12]=>[12,1,2,3,4,5,6,7,8,9,10,11]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]],.]
[3,8,5,2,1,4,7,6]=>[5,8,6,4,1,3,7,2]=>[2,7,3,1,4,6,8,5]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]
[3,5,4,8,2,6,7,1]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[5,4,7,1,8,6,3,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,5,1,3,6,2,4,7]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,5,1,8,3,4,2,6]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,2,8,1,7,4,3,6]=>[7,4,8,2,6,5,1,3]=>[3,1,5,6,2,8,4,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[1,2,5,6,8,7,3,4]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,5,6,8,2,7,4,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,6,7,3,4,1,8,5]=>[6,8,5,4,3,1,7,2]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[1,6,5,7,8,2,4,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,5,6,7,2,8,4,3]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,5,8,6,7,3,4,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,6,5,8,7,2,4,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,5,7,6,2,8,3,4]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,2,5,8,6,7,4,3]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,5,8,6,4,2,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,6,5,8,1,2,7,4]=>[6,8,5,7,3,1,4,2]=>[2,4,1,3,7,5,8,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[5,4,7,8,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,5,6,8,1,3,7,4]=>[5,8,6,7,1,3,4,2]=>[2,4,3,1,7,6,8,5]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]
[5,3,6,8,1,2,7,4]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[4,6,5,8,3,2,7,1]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[4,5,6,8,2,3,7,1]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[2,5,8,7,1,6,4,3]=>[5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[4,7,5,8,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,3,6,8,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,3,6,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,5,7,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,4,7,8,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,6,8,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,4,7,8,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,4,6,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,4,7,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,9,2,3,1,4,5,6]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[6,5,7,8,9,1,2,3,4]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[7,6,1,2,3,5,4,8]=>[7,6,3,4,5,2,1,8]=>[8,1,2,5,4,3,6,7]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[2,8,7,5,1,6,3,4]=>[5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[8,7,6,4,2,1,5,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,8,7,5,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,8,7,5,1,2,6,4]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[5,8,3,7,1,4,6,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,8,7,4,2,6,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,3,2,4,7,6,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[1,3,4,7,2,6,5,8]=>[1,5,3,7,2,6,4,8]=>[8,4,6,2,7,3,5,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[5,3,8,2,4,6,1,7]=>[7,5,8,4,2,6,1,3]=>[3,1,6,2,4,8,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[4,5,8,3,2,6,1,7]=>[7,5,8,4,2,6,1,3]=>[3,1,6,2,4,8,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[5,8,2,1,4,6,3,7]=>[7,8,4,3,5,6,1,2]=>[2,1,6,5,3,4,8,7]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]
[4,1,5,8,3,6,2,7]=>[7,2,5,8,3,6,1,4]=>[4,1,6,3,8,5,2,7]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[3,2,7,1,8,5,4,6]=>[4,2,8,1,7,6,5,3]=>[3,5,6,7,1,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[4,7,8,5,2,3,1,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[6,2,7,8,1,5,3,4]=>[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[2,6,7,8,4,1,3,5]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[2,6,7,8,4,3,1,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[7,1,2,6,3,8,4,5]=>[8,2,3,7,5,6,4,1]=>[1,4,6,5,7,3,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[8,1,2,6,5,3,7,4]=>[8,2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[8,5,4,6,1,2,7,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,4,1,8,2,5,3,6]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,2,1,8,3,6,4,5]=>[8,3,2,7,5,6,4,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[6,8,7,3,1,2,4,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,4,8,3,1,2,6,5]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[8,4,5,3,1,6,7,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,2,3,1,6,7,4,5]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[8,2,1,7,4,3,5,6]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[7,2,6,8,4,1,3,5]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[7,2,5,1,6,8,3,4]=>[8,4,7,2,5,6,3,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[6,2,1,7,4,8,3,5]=>[8,3,2,7,5,6,4,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[1,7,4,3,2,5,6,8]=>[1,7,5,4,3,6,2,8]=>[8,2,6,3,4,5,7,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[1,7,4,3,6,2,5,8]=>[1,7,6,4,5,3,2,8]=>[8,2,3,5,4,6,7,1]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[3,7,5,8,2,4,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,2,1,6,3,4,8,7]=>[6,3,2,5,4,1,8,7]=>[7,8,1,4,5,2,3,6]=>[[.,[[.,[.,.]],[.,[.,.]]]],[.,.]]
[3,8,4,5,7,2,6,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,8,4,7,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,2,8,6,3,7,5,1]=>[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[4,1,7,6,3,8,5,2]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[7,4,1,8,5,3,6,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,5,6,8,4,7,1,2]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[5,4,1,8,6,7,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,2,8,4,5,3,7,1]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[4,7,3,8,2,6,5,1]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[4,7,3,1,8,6,2,5]=>[7,8,4,3,6,5,1,2]=>[2,1,5,6,3,4,8,7]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]
[6,3,7,1,2,5,8,4]=>[8,5,6,4,2,3,7,1]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[5,1,4,7,8,2,6,3]=>[8,2,6,7,5,3,4,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[7,2,5,8,1,3,6,4]=>[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[8,3,6,7,2,4,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,8,7,5,2,1,6,4]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[3,8,5,6,2,7,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,6,5,8,4,2,7,1]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[6,8,3,2,5,7,4,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,1,5,6,8,7,3,2]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,4,2,3,6,7,5,1]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[6,1,2,4,5,7,8,3]=>[8,2,3,5,4,6,7,1]=>[1,7,6,4,5,3,2,8]=>[.,[[[[[.,.],.],[.,.]],.],[.,.]]]
[4,5,1,3,7,6,8,2]=>[8,4,3,2,6,5,7,1]=>[1,7,5,6,2,3,4,8]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[3,5,4,8,6,2,7,1]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[8,1,2,3,4,5,9,7,6]=>[9,2,3,4,5,6,8,7,1]=>[1,7,8,6,5,4,3,2,9]=>[.,[[[[[[.,.],.],.],.],.],[.,[.,.]]]]
[8,1,3,7,4,5,6,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,5,3,6,4,7,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,6,4,8,3,1,5,7]=>[6,7,5,8,3,1,2,4]=>[4,2,1,3,8,5,7,6]=>[[[.,.],[.,.]],[[.,[[.,.],.]],.]]
[2,6,4,1,5,8,7,3]=>[4,8,5,1,3,7,6,2]=>[2,6,7,3,1,5,8,4]=>[[.,.],[[.,[[.,.],.]],[.,[.,.]]]]
[3,5,1,4,6,2,7,8]=>[6,4,3,2,5,1,7,8]=>[8,7,1,5,2,3,4,6]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[7,6,5,2,4,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,6,4,5,2,8,1,7]=>[7,5,4,3,2,8,1,6]=>[6,1,8,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[8,1,5,4,7,3,6,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,6,5,4,1,8,2,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,6,4,1,5,7,2,8]=>[7,5,4,3,2,6,1,8]=>[8,1,6,2,3,4,5,7]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[8,1,5,4,7,6,3,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,6,4,1,5,7,8,2]=>[8,5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[7,6,5,2,8,4,1,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,1,6,5,2,8,7,4]=>[5,2,8,4,1,7,6,3]=>[3,6,7,1,4,8,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[1,7,2,4,3,5,8,6]=>[1,8,3,5,4,6,7,2]=>[2,7,6,4,5,3,8,1]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]
[3,8,1,7,4,2,6,5]=>[6,8,3,7,5,1,4,2]=>[2,4,1,5,7,3,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[8,1,7,4,3,5,6,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,8,2,4,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,5,3,6,1,7,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,8,3,1,4,7,5,6]=>[4,8,3,1,5,7,6,2]=>[2,6,7,5,1,3,8,4]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]
[8,6,3,2,7,4,1,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,7,3,1,8,4,5,6]=>[4,8,3,1,7,6,5,2]=>[2,5,6,7,1,3,8,4]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[1,2,8,3,5,6,4,7]=>[1,2,8,4,7,6,5,3]=>[3,5,6,7,4,8,2,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[3,5,7,4,8,1,6,2]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[7,4,8,6,3,1,2,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,6,8,4,1,2,5,7]=>[6,7,8,5,4,1,2,3]=>[3,2,1,4,5,8,7,6]=>[[[.,.],.],[.,[.,[[[.,.],.],.]]]]
[4,7,8,5,2,1,3,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[6,1,5,2,8,7,3,4]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,1,3,5,7,4,2,6]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,1,8,5,4,7,2,6]=>[7,2,8,5,4,6,1,3]=>[3,1,6,4,5,8,2,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[3,1,6,4,8,5,2,7]=>[7,2,6,4,8,3,1,5]=>[5,1,3,8,4,6,2,7]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]
[3,2,6,4,1,5,7,8]=>[5,2,6,4,1,3,7,8]=>[8,7,3,1,4,6,2,5]=>[[[[.,[.,.]],[.,[[.,.],.]]],.],.]
[5,4,2,1,8,3,6,7]=>[6,4,3,2,8,1,7,5]=>[5,7,1,8,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[6,8,2,7,1,4,3,5]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[1,8,4,7,3,2,5,6]=>[1,8,6,7,5,3,4,2]=>[2,4,3,5,7,6,8,1]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[8,6,3,1,5,7,2,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,8,3,1,4,7,6,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[1,2,5,4,7,8,3,6]=>[1,2,7,4,8,6,3,5]=>[5,3,6,8,4,7,2,1]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]
[4,7,1,2,5,3,6,8]=>[6,7,3,4,5,1,2,8]=>[8,2,1,5,4,3,7,6]=>[[[.,.],[[[.,.],.],[[.,.],.]]],.]
[6,8,4,1,3,7,2,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,2,6,1,7,8,5,4]=>[4,2,8,1,7,6,5,3]=>[3,5,6,7,1,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[7,6,4,1,8,3,5,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,4,1,6,7,3,2,8]=>[7,6,3,4,5,2,1,8]=>[8,1,2,5,4,3,6,7]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[7,4,1,6,5,8,2,3]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[8,5,4,1,6,7,3,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,6,2,3,5,7,8,4]=>[1,8,3,4,5,6,7,2]=>[2,7,6,5,4,3,8,1]=>[[.,.],[[[[[.,.],.],.],.],[.,.]]]
[1,3,4,8,5,2,6,7]=>[1,6,3,8,5,2,7,4]=>[4,7,2,5,8,3,6,1]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[8,2,4,6,1,7,3,5]=>[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[1,5,7,2,3,6,8,4]=>[1,8,6,4,5,3,7,2]=>[2,7,3,5,4,6,8,1]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[7,3,1,4,2,5,8,6]=>[8,5,3,4,2,6,7,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]
[3,2,5,7,8,4,1,6]=>[7,2,6,8,5,3,1,4]=>[4,1,3,5,8,6,2,7]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]
[4,3,5,1,6,2,7,8]=>[6,4,3,2,5,1,7,8]=>[8,7,1,5,2,3,4,6]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[8,6,3,5,4,1,2,7]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,3,2,6,1,5,4,7]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[8,5,1,7,4,6,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,8,1,7,6,3,5,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,5,1,7,4,3,6,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,5,7,6,2,1,3,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,4,8,3,1,7,2,6]=>[7,5,8,4,2,6,1,3]=>[3,1,6,2,4,8,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[4,8,1,7,6,5,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,3,8,7,2,6,1,5]=>[7,5,8,6,2,4,1,3]=>[3,1,4,2,6,8,5,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[3,8,7,2,6,4,1,5]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[8,2,5,7,4,3,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,8,7,4,6,1,2,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[8,7,6,3,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,8,4,7,6,1,5,3]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[2,5,4,8,3,1,7,6]=>[6,5,3,8,2,1,7,4]=>[4,7,1,2,8,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[5,4,8,2,1,3,7,6]=>[6,5,8,4,2,1,7,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[1,8,4,7,6,3,5,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,3,7,6,5,2,4]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,1,3,6,2,5,8]=>[7,6,3,4,5,2,1,8]=>[8,1,2,5,4,3,6,7]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[4,1,3,7,5,6,2,8]=>[7,2,3,6,5,4,1,8]=>[8,1,4,5,6,3,2,7]=>[[.,[[[.,.],.],[.,[.,[.,.]]]]],.]
[2,6,8,3,1,7,4,5]=>[5,8,7,4,1,6,3,2]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[2,5,4,8,1,7,3,6]=>[5,7,3,8,1,6,2,4]=>[4,2,6,1,8,3,7,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[7,5,2,4,8,3,6,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,8,2,6,3,5,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,2,6,5,8,3,4,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,6,3,1,4,2,7,8]=>[6,5,4,3,2,1,7,8]=>[8,7,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[2,6,5,3,4,8,7,1]=>[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[2,6,1,5,3,4,7,8]=>[3,6,1,5,4,2,7,8]=>[8,7,2,4,5,1,6,3]=>[[[[.,.],[[.,.],[.,[.,.]]]],.],.]
[3,6,2,7,4,5,1,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[3,4,7,8,5,1,6,2]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[3,6,2,4,7,8,5,1]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[5,3,6,4,8,7,2,1]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[1,5,4,8,6,2,7,3]=>[1,8,6,7,5,3,4,2]=>[2,4,3,5,7,6,8,1]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[4,5,2,7,6,3,8,1]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[5,8,3,1,2,7,6,4]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,6,2,5,3,8,4,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,4,6,1,3,7,2,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,8,5,1,2,3,6,7]=>[6,8,5,4,3,1,7,2]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[8,6,2,4,5,1,3,7]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,4,2,3,6,8,5,1]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[2,1,6,7,4,8,3,5]=>[2,1,8,7,5,6,4,3]=>[3,4,6,5,7,8,1,2]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[7,8,1,3,6,4,5,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,2,6,8,4,5,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,3,6,8,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,5,8,1,6,2,4,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,7,8,1,6,3,2,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,2,6,8,5,1,4,3]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[7,5,2,4,8,3,1,6]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,8,3,1,6,2,5,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,7,8,4,3,1,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,3,6,4,1,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,3,8,1,6,4,5,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,7,5,8,2,4,6,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,2,8,1,4,6,3]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[3,7,8,2,6,5,1,4]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[3,7,8,2,1,6,4,5]=>[5,8,7,4,1,6,3,2]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[7,8,1,6,3,5,4,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,7,8,2,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,8,3,1,5,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,1,6,2,5,4,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,6,1,4,3,8,2,7]=>[7,5,3,4,2,8,1,6]=>[6,1,8,2,4,3,5,7]=>[[.,[.,[[.,.],[.,.]]]],[[.,.],.]]
[5,1,6,8,3,4,7,2]=>[8,2,6,7,5,3,4,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[7,1,6,8,5,4,3,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,6,8,1,2,3,7,4]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[4,8,1,2,7,6,5,3]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[4,6,1,2,8,5,7,3]=>[8,6,3,4,7,2,5,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[6,4,7,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,7,8,4,2,1,3,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[6,4,8,3,5,2,1,7]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[3,1,6,2,5,7,8,4]=>[4,2,8,1,5,6,7,3]=>[3,7,6,5,1,8,2,4]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]
[1,6,4,5,2,7,3,8]=>[1,7,5,4,3,6,2,8]=>[8,2,6,3,4,5,7,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[1,4,7,3,2,5,6,8]=>[1,5,7,4,2,6,3,8]=>[8,3,6,2,4,7,5,1]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]
[6,2,1,5,7,3,4,8]=>[7,3,2,6,5,4,1,8]=>[8,1,4,5,6,2,3,7]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[1,2,3,4,5,8,9,6,7]=>[1,2,3,4,5,9,8,7,6]=>[6,7,8,9,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],[.,[.,[.,.]]]]
[1,2,3,4,7,9,5,8,6]=>[1,2,3,4,9,8,7,6,5]=>[5,6,7,8,9,4,3,2,1]=>[[[[[.,.],.],.],.],[.,[.,[.,[.,.]]]]]
[1,2,4,6,8,3,7,5]=>[1,2,6,8,7,3,5,4]=>[4,5,3,7,8,6,2,1]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]
[1,3,5,8,2,6,7,4]=>[1,5,8,7,2,6,4,3]=>[3,4,6,2,7,8,5,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[6,1,3,7,2,8,5,4]=>[8,2,5,7,3,6,4,1]=>[1,4,6,3,7,5,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[6,4,5,8,3,7,1,2]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[8,1,4,3,6,7,2,5]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[2,6,8,4,3,1,7,5]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[8,1,5,2,6,4,3,7]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[1,6,7,4,2,8,3,5]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,7,8,4,3,6,2,5]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,5,8,7,4,3,2,6]=>[1,7,8,6,5,4,2,3]=>[3,2,4,5,6,8,7,1]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[1,4,7,2,3,6,8,5]=>[1,5,8,4,2,6,7,3]=>[3,7,6,2,4,8,5,1]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]
[3,1,2,6,7,8,5,4]=>[3,2,1,8,7,6,5,4]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[3,8,1,6,4,2,7,5]=>[6,8,3,7,5,1,4,2]=>[2,4,1,5,7,3,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[1,6,3,4,7,8,2,5]=>[1,8,7,4,5,6,3,2]=>[2,3,6,5,4,7,8,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[6,3,1,4,2,7,8,5]=>[8,5,3,4,2,6,7,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]
[2,4,3,7,6,1,8,5]=>[6,3,2,8,5,1,7,4]=>[4,7,1,5,8,2,3,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[1,4,7,6,8,3,2,5]=>[1,7,8,6,5,4,2,3]=>[3,2,4,5,6,8,7,1]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[4,3,1,8,6,2,7,5]=>[6,3,2,8,7,1,5,4]=>[4,5,1,7,8,2,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]
[3,1,5,2,8,7,6,4]=>[4,2,8,1,7,6,5,3]=>[3,5,6,7,1,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[1,2,8,4,3,7,6,5]=>[1,2,8,5,4,7,6,3]=>[3,6,7,4,5,8,2,1]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]
[2,6,1,8,7,4,3,5]=>[3,8,1,7,6,5,4,2]=>[2,4,5,6,7,1,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[7,5,1,8,3,2,6,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,7,6,3,1,8,2,5]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[5,3,1,8,6,2,4,7]=>[7,6,3,8,5,2,1,4]=>[4,1,2,5,8,3,6,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[5,1,8,6,3,2,4,7]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[1,5,4,2,8,6,3,7]=>[1,7,4,3,8,6,2,5]=>[5,2,6,8,3,4,7,1]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]
[1,4,2,8,5,3,7,6]=>[1,6,3,8,5,2,7,4]=>[4,7,2,5,8,3,6,1]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[8,3,1,6,4,2,5,7]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[1,7,4,8,3,5,2,6]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,2,4,8,5,1,6]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[5,7,8,1,4,2,6,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,6,3,8,1,7,5,4]=>[5,8,3,7,1,6,4,2]=>[2,4,6,1,7,3,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[2,5,1,8,6,3,7,4]=>[3,8,1,7,6,5,4,2]=>[2,4,5,6,7,1,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[2,8,6,4,1,7,3,5]=>[5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[1,8,4,2,7,5,3,6]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[6,5,1,7,2,8,4,3]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[2,8,1,7,5,3,6,4]=>[3,8,1,7,6,5,4,2]=>[2,4,5,6,7,1,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,2,8,7,6,4,3,5]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[4,1,7,8,6,3,5,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,6,5,7,8,4,2,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,1,8,7,6,3,5,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,8,2,6,3,5,1,7]=>[7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[4,3,5,7,1,6,2,8]=>[7,5,3,6,2,4,1,8]=>[8,1,4,2,6,3,5,7]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[4,1,8,5,3,6,2,7]=>[7,2,8,5,4,6,1,3]=>[3,1,6,4,5,8,2,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[6,4,2,5,3,1,7,8]=>[6,5,4,3,2,1,7,8]=>[8,7,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[3,1,5,8,2,7,4,6]=>[5,2,7,8,1,6,3,4]=>[4,3,6,1,8,7,2,5]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]
[6,4,1,5,3,2,7,8]=>[6,5,3,4,2,1,7,8]=>[8,7,1,2,4,3,5,6]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[3,1,8,5,4,6,2,7]=>[7,2,8,5,4,6,1,3]=>[3,1,6,4,5,8,2,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[6,1,8,4,5,3,2,7]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[4,5,2,7,1,6,3,8]=>[7,5,3,6,2,4,1,8]=>[8,1,4,2,6,3,5,7]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[4,3,5,7,1,6,8,2]=>[8,5,3,6,2,4,7,1]=>[1,7,4,2,6,3,5,8]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[4,1,8,5,3,6,7,2]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[6,3,8,4,5,1,7,2]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[3,1,6,8,5,7,4,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,6,1,8,5,7,4,3]=>[3,8,1,7,6,5,4,2]=>[2,4,5,6,7,1,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[6,3,8,4,5,2,1,7]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[6,5,8,7,2,3,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,3,8,4,5,2,7,1]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[2,1,6,8,5,3,7,4]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[3,2,6,8,5,4,7,1]=>[8,2,6,7,5,3,4,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[4,1,8,5,2,6,3,7]=>[7,2,8,5,4,6,1,3]=>[3,1,6,4,5,8,2,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[3,1,6,8,5,2,4,7]=>[6,2,7,8,5,1,3,4]=>[4,3,1,5,8,7,2,6]=>[[[.,[.,.]],.],[.,[[[.,.],.],.]]]
[6,5,8,7,4,1,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,5,8,7,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,5,8,7,2,4,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,2,8,4,5,7,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,1,8,4,5,7,3,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,2,7,3,5,8,6,1]=>[8,4,7,2,5,6,3,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[3,6,2,4,8,5,7,1]=>[8,6,3,4,7,2,5,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[2,7,5,4,3,8,6,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,5,1,8,4,7,6,2]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[3,6,1,8,5,4,7,2]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[2,4,8,3,7,6,5,1]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[3,6,8,2,5,7,4,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,6,8,5,4,3,7,1]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[3,6,8,2,5,4,7,1]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[4,6,8,3,2,5,7,1]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[4,6,2,8,3,5,7,1]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[3,6,1,8,5,7,4,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,2,6,8,4,1,7,3]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[4,6,3,8,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,5,8,2,7,4,6,1]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[2,6,8,5,7,4,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,4,8,7,6,3,5,1]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[7,5,1,6,3,2,8,4]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[2,7,6,3,4,1,8,5]=>[6,8,5,4,3,1,7,2]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[5,7,6,3,1,2,8,4]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,8,2,1,7,5,6,3]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[6,3,8,5,7,2,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,2,1,7,5,3,6,4]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[8,2,1,6,7,3,5,4]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[6,2,8,1,7,5,3,4]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[3,5,1,8,7,6,2,4]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[5,6,2,7,8,1,3,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,7,3,5,6,1,2,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,7,8,3,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,2,3,4,5,6,7,8,10,9,11]=>[1,2,3,4,5,6,7,8,10,9,11]=>[11,9,10,8,7,6,5,4,3,2,1]=>[[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]],.]
[1,2,3,4,5,7,8,6,9]=>[1,2,3,4,5,8,7,6,9]=>[9,6,7,8,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],[.,[.,.]]],.]
[3,2,5,6,8,4,7,1]=>[8,2,6,4,7,3,5,1]=>[1,5,3,7,4,6,2,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[8,4,5,2,6,3,7,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,5,6,4,8,3,7,1]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[4,2,5,7,3,8,1,6]=>[7,5,3,8,2,6,1,4]=>[4,1,6,2,8,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[4,7,3,1,6,8,2,5]=>[7,8,4,3,5,6,1,2]=>[2,1,6,5,3,4,8,7]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]
[1,7,4,6,8,3,2,5]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,4,3,6,5,8,7,10,9,12,11,1]=>[12,3,2,5,4,7,6,9,8,11,10,1]=>[1,10,11,8,9,6,7,4,5,2,3,12]=>[.,[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,[.,.]]]]
[4,7,2,5,6,3,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,1,5,8,3,7,2,4]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,1,3,5,7,8,2,6]=>[7,2,3,4,8,6,1,5]=>[5,1,6,8,4,3,2,7]=>[[.,[[[.,.],.],.]],[.,[[.,.],.]]]
[6,1,5,8,4,3,2,7]=>[7,2,6,8,5,3,1,4]=>[4,1,3,5,8,6,2,7]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]
[7,2,1,6,8,3,5,4]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[5,6,4,1,8,3,2,7]=>[7,6,4,3,8,2,1,5]=>[5,1,2,8,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[2,3,7,8,5,1,6,4]=>[6,2,8,7,5,1,4,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[1,2,6,7,4,3,5,8]=>[1,2,7,6,5,4,3,8]=>[8,3,4,5,6,7,2,1]=>[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]
[5,8,6,3,4,1,2,7]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[6,9,7,3,4,5,1,2,8]=>[8,9,7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7,9,8]=>[[.,.],[.,[.,[.,[.,[.,[[.,.],.]]]]]]]
[5,1,2,6,4,8,3,7]=>[7,2,3,5,4,8,1,6]=>[6,1,8,4,5,3,2,7]=>[[.,[[[.,.],.],[.,.]]],[[.,.],.]]
[8,6,2,3,7,5,1,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,10,8,3,4,5,6,1,2,9]=>[9,10,8,7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7,8,10,9]=>[[.,.],[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]
[4,5,2,8,6,1,3,7]=>[7,6,3,8,5,2,1,4]=>[4,1,2,5,8,3,6,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[3,4,8,2,5,6,1,7]=>[7,4,8,2,5,6,1,3]=>[3,1,6,5,2,8,4,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[2,8,3,6,7,4,5,1]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,8,2,7,5,3,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,6,7,2,8,4,1,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,8,3,6,4,1,7,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,3,8,5,2,7,1,6]=>[7,5,8,4,2,6,1,3]=>[3,1,6,2,4,8,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[2,8,4,5,1,6,3,7]=>[5,8,7,4,1,6,3,2]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[3,2,5,8,4,7,1,6]=>[7,2,5,8,3,6,1,4]=>[4,1,6,3,8,5,2,7]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[2,5,8,1,3,4,7,6]=>[4,6,8,1,5,2,7,3]=>[3,7,2,5,1,8,6,4]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]
[3,5,1,8,7,4,2,6]=>[7,6,3,8,5,2,1,4]=>[4,1,2,5,8,3,6,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[4,6,1,3,8,2,7,5]=>[6,8,3,4,7,1,5,2]=>[2,5,1,7,4,3,8,6]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[8,6,1,2,3,5,7,4]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[5,1,7,8,3,2,4,6]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[3,1,7,6,2,8,5,4]=>[5,2,8,7,1,6,4,3]=>[3,4,6,1,7,8,2,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[5,3,6,7,4,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,4,2,8,6,7,3,1]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,1,4,2,8,7,3,5]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[3,7,2,6,8,4,5,1]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,6,5,2,7,8,3,1]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[5,4,6,2,7,8,3,1]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[5,1,8,6,4,2,7,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,2,1,8,5,7,4,3]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[5,4,6,2,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[6,5,7,8,1,3,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,1,7,6,8,4,5,3]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[6,4,7,2,8,3,1,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,3,2,7,8,4,5,1]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,4,8,2,7,6,5,3]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,2,3,7,8,9,4,5,6]=>[1,2,3,9,8,7,6,5,4]=>[4,5,6,7,8,9,3,2,1]=>[[[[.,.],.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,2,3,8,9,6,7,4,5]=>[1,2,3,9,8,7,6,5,4]=>[4,5,6,7,8,9,3,2,1]=>[[[[.,.],.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,5,8,9,2,6,7,3,4]=>[1,9,8,7,5,6,4,3,2]=>[2,3,4,6,5,7,8,9,1]=>[[.,.],[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,2,7,9,5,8,3,6,4]=>[1,2,9,8,7,6,5,4,3]=>[3,4,5,6,7,8,9,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,9,6,7,4,5,2,3]=>[1,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,6,9,4,8,2,7,5,3]=>[1,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,9,3,8,1,7,6,4,2]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[1,2,3,4,8,9,10,5,6,7]=>[1,2,3,4,10,9,8,7,6,5]=>[5,6,7,8,9,10,4,3,2,1]=>[[[[[.,.],.],.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,2,3,4,5,8,10,6,9,7]=>[1,2,3,4,5,10,9,8,7,6]=>[6,7,8,9,10,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],[.,[.,[.,[.,.]]]]]
[1,2,7,8,9,10,3,4,5,6]=>[1,2,10,9,8,7,6,5,4,3]=>[3,4,5,6,7,8,9,10,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,2,3,4,9,10,7,8,5,6]=>[1,2,3,4,10,9,8,7,6,5]=>[5,6,7,8,9,10,4,3,2,1]=>[[[[[.,.],.],.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,2,3,8,10,6,9,4,7,5]=>[1,2,3,10,9,8,7,6,5,4]=>[4,5,6,7,8,9,10,3,2,1]=>[[[[.,.],.],.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,9,10,1,2,7,8,3,4]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[1,8,9,10,5,6,7,2,3,4]=>[1,10,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[1,2,9,10,7,8,5,6,3,4]=>[1,2,10,9,8,7,6,5,4,3]=>[3,4,5,6,7,8,9,10,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,10,4,5,9,1,2,6,3]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[1,6,10,4,9,2,8,7,5,3]=>[1,10,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[5,10,3,9,1,8,7,6,4,2]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[4,7,3,1,5,2,8,6]=>[6,8,4,3,5,1,7,2]=>[2,7,1,5,3,4,8,6]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]
[4,7,3,6,5,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,7,6,3,1,5,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[2,4,7,3,8,5,1,6]=>[7,4,8,2,6,5,1,3]=>[3,1,5,6,2,8,4,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[2,7,3,1,8,5,4,6]=>[4,8,3,1,7,6,5,2]=>[2,5,6,7,1,3,8,4]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[2,8,3,1,7,4,5,6]=>[4,8,3,1,7,6,5,2]=>[2,5,6,7,1,3,8,4]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[6,7,5,2,1,4,8,3]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,6,8,9,1,2,3,4,5]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[1,2,6,8,3,4,7,5]=>[1,2,8,7,5,6,4,3]=>[3,4,6,5,7,8,2,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[1,8,2,7,3,5,6,4]=>[1,8,3,7,5,6,4,2]=>[2,4,6,5,7,3,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,7,4,8,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,6,3,5,7,4,8,2]=>[1,8,6,4,5,3,7,2]=>[2,7,3,5,4,6,8,1]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[1,5,4,7,2,8,3,6]=>[1,7,5,8,3,6,2,4]=>[4,2,6,3,8,5,7,1]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[3,7,4,8,5,2,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,1,2,6,5,3,4,7]=>[8,2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[3,7,4,2,5,6,1,8]=>[7,6,4,3,5,2,1,8]=>[8,1,2,5,3,4,6,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[6,8,7,1,3,4,2,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,4,2,8,6,7,5,1]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[3,7,8,6,1,4,2,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[3,6,1,5,2,7,8,4]=>[5,8,3,4,1,6,7,2]=>[2,7,6,1,4,3,8,5]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]
[7,1,6,8,3,4,2,5]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,2,6,3,5,7,4]=>[8,2,3,7,5,6,4,1]=>[1,4,6,5,7,3,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[6,2,8,4,7,1,3,5]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[3,7,8,4,2,5,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,4,2,8,5,1,6,7]=>[6,3,2,8,5,1,7,4]=>[4,7,1,5,8,2,3,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[1,4,3,2,5,6,7,8,9]=>[1,4,3,2,5,6,7,8,9]=>[9,8,7,6,5,2,3,4,1]=>[[[[[[[.,.],[.,[.,.]]],.],.],.],.],.]
[6,8,2,7,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,8,4,3,7,6,2,5]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[4,3,8,7,1,2,6,5]=>[6,5,8,7,2,1,4,3]=>[3,4,1,2,7,8,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]
[1,8,4,5,7,6,2,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,3,8,5,7,1,6,2]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[6,3,4,8,7,2,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,3,8,4,7,1,6,2]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[5,2,8,7,1,4,6,3]=>[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[3,2,8,7,1,6,4,5]=>[5,2,8,7,1,6,4,3]=>[3,4,6,1,7,8,2,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[2,7,8,3,1,6,4,5]=>[5,8,7,4,1,6,3,2]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[2,7,8,5,1,4,6,3]=>[5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[3,5,8,7,4,1,6,2]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[7,4,6,8,3,5,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,7,8,1,3,6,4,5]=>[4,8,7,1,5,6,3,2]=>[2,3,6,5,1,7,8,4]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[2,7,8,1,5,4,6,3]=>[4,8,7,1,6,5,3,2]=>[2,3,5,6,1,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[2,7,8,1,4,5,6,3]=>[4,8,7,1,6,5,3,2]=>[2,3,5,6,1,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[3,6,7,8,2,4,1,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[4,5,7,8,6,3,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,4,6,8,7,3,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,5,8,6,7,1,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,7,6,8,2,1,3,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,7,6,8,2,4,1,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[5,4,7,8,6,3,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,5,7,8,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,5,6,8,7,3,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,7,3,4,2,1,6,8]=>[6,7,5,4,3,1,2,8]=>[8,2,1,3,4,5,7,6]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[6,1,5,3,8,4,7,2]=>[8,2,6,4,7,3,5,1]=>[1,5,3,7,4,6,2,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[1,8,6,2,5,4,7,3]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[3,8,4,1,7,5,2,6]=>[7,8,4,3,6,5,1,2]=>[2,1,5,6,3,4,8,7]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]
[6,2,7,4,8,3,1,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,8,5,1,4,3,7,6]=>[4,8,6,1,5,3,7,2]=>[2,7,3,5,1,6,8,4]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[6,8,2,7,5,1,4,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,3,4,5,6,1,7,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,3,6,4,7,2,1,8]=>[7,6,4,3,5,2,1,8]=>[8,1,2,5,3,4,6,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[4,2,6,5,7,3,1,8]=>[7,6,4,3,5,2,1,8]=>[8,1,2,5,3,4,6,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[5,4,6,2,7,3,1,8]=>[7,6,4,3,5,2,1,8]=>[8,1,2,5,3,4,6,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[3,2,6,5,8,4,1,7]=>[7,2,6,4,8,3,1,5]=>[5,1,3,8,4,6,2,7]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]
[4,2,6,5,8,7,1,3]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[5,2,6,4,8,7,1,3]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[5,4,7,6,8,2,1,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,4,7,5,8,3,1,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,2,7,5,8,6,1,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,2,7,5,8,4,1,6]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[4,3,7,2,8,5,1,6]=>[7,4,8,2,6,5,1,3]=>[3,1,5,6,2,8,4,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[4,3,6,2,8,5,1,7]=>[7,4,6,2,8,3,1,5]=>[5,1,3,8,2,6,4,7]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]
[4,3,7,6,8,5,1,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,3,7,6,8,2,1,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,3,7,2,8,6,1,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,2,7,3,8,6,1,5]=>[7,4,8,2,6,5,1,3]=>[3,1,5,6,2,8,4,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[5,2,7,6,8,3,1,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,2,7,6,8,4,1,5]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[3,2,7,6,8,5,1,4]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[6,2,7,5,8,4,1,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,8,1,7,3,2,5,6]=>[6,8,3,7,5,1,4,2]=>[2,4,1,5,7,3,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[3,7,4,8,2,1,5,6]=>[6,8,5,7,3,1,4,2]=>[2,4,1,3,7,5,8,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[3,7,8,2,5,4,6,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,7,5,8,3,2,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,1,3,2,5,8,4]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[8,7,6,4,1,5,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,8,5,2,6,4,7,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,2,5,3,4,8,1,6]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,2,5,3,7,8,6,1]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[5,3,6,2,4,1,8,7]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[7,8,6,2,3,5,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,2,6,3,7,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,2,3,7,5,6,1]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[7,5,6,2,3,8,4,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,7,5,6,4,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[2,8,4,3,7,5,6,1]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[3,8,5,7,6,4,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,6,3,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,7,6,3,8,5,4,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,4,2,5,6,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,2,7,5,3,8,4,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,4,8,3,7,5,6,1]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[4,8,3,7,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,2,5,8,3,7,4,1]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[4,7,3,8,2,5,6,1]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[8,2,5,6,3,7,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,5,3,7,1,2,6,8]=>[6,5,3,7,2,1,4,8]=>[8,4,1,2,7,3,5,6]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[8,5,6,4,1,3,2,7]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,2,8,4,3,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,3,2,8,4,1,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,7,8,3,1,5,2,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[4,5,8,1,3,2,6,7]=>[6,5,8,4,2,1,7,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[4,7,8,1,6,3,2,5]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[4,7,1,3,8,6,5,2]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[2,6,7,4,3,8,1,5]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[3,7,6,4,5,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,7,2,8,3,4,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,7,2,8,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,1,5,8,6,4,7,2]=>[8,2,6,7,5,3,4,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[2,3,8,6,4,5,7,1]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,3,8,6,4,7,5,1]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,6,2,8,7,4,5,1]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,5,6,1,8,7,3,4]=>[4,8,7,1,6,5,3,2]=>[2,3,5,6,1,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[3,6,2,8,4,7,5,1]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,3,8,5,7,4,6,1]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,3,8,6,7,5,4,1]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,5,6,3,1,4,2,7]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,3,5,1,6,4,2,7]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,7,8,3,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,5,1,8,6,4,2,7]=>[7,6,3,8,5,2,1,4]=>[4,1,2,5,8,3,6,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[7,5,3,8,6,4,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,1,3,8,6,4,2,7]=>[7,2,6,8,5,3,1,4]=>[4,1,3,5,8,6,2,7]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]
[1,5,8,3,6,4,2,7]=>[1,7,8,6,5,4,2,3]=>[3,2,4,5,6,8,7,1]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[7,5,8,3,6,4,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,5,8,6,3,4,2,7]=>[1,7,8,6,5,4,2,3]=>[3,2,4,5,6,8,7,1]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[3,7,5,8,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,7,8,1,4,6,2,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,3,7,8,4,2,6,5]=>[1,6,8,7,5,2,4,3]=>[3,4,2,5,7,8,6,1]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]
[6,1,2,5,3,4,7,8]=>[6,2,3,5,4,1,7,8]=>[8,7,1,4,5,3,2,6]=>[[[.,[[[.,.],.],[.,[.,.]]]],.],.]
[6,1,2,5,4,3,7,8]=>[6,2,3,5,4,1,7,8]=>[8,7,1,4,5,3,2,6]=>[[[.,[[[.,.],.],[.,[.,.]]]],.],.]
[5,1,4,6,7,3,2,8]=>[7,2,6,4,5,3,1,8]=>[8,1,3,5,4,6,2,7]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[1,4,6,5,7,2,3,8]=>[1,7,6,4,5,3,2,8]=>[8,2,3,5,4,6,7,1]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[6,7,3,5,4,1,2,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,1,6,7,3,5,4,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,2,4,1,6,5,3,8]=>[7,4,6,2,5,3,1,8]=>[8,1,3,5,2,6,4,7]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[4,2,5,1,3,7,6,8]=>[5,4,3,2,1,7,6,8]=>[8,6,7,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[1,3,2,6,8,4,7,5]=>[1,3,2,8,7,6,5,4]=>[4,5,6,7,8,2,3,1]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]
[8,2,5,4,1,6,7,3]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[8,1,7,5,4,2,6,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,2,6,4,7,3,5,8]=>[1,2,7,6,5,4,3,8]=>[8,3,4,5,6,7,2,1]=>[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]
[1,6,4,3,7,2,5,8]=>[1,7,6,4,5,3,2,8]=>[8,2,3,5,4,6,7,1]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[5,7,8,3,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,5,1,3,7,6,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,6,4,3,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,5,6,8,1,3,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,3,1,8,6,5,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,7,3,1,4,8,6,5]=>[4,8,3,1,5,7,6,2]=>[2,6,7,5,1,3,8,4]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]
[3,1,6,5,7,8,4,2]=>[8,2,7,4,5,6,3,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[4,3,1,5,8,7,6,2]=>[8,3,2,4,7,6,5,1]=>[1,5,6,7,4,2,3,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[4,7,1,3,2,5,6,8]=>[5,7,3,4,1,6,2,8]=>[8,2,6,1,4,3,7,5]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[1,7,2,5,6,8,4,3]=>[1,8,3,7,5,6,4,2]=>[2,4,6,5,7,3,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[4,7,6,8,3,1,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,4,8,6,1,7,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,5,4,7,1,8,6,2]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[6,1,3,8,4,5,2,7]=>[7,2,6,8,5,3,1,4]=>[4,1,3,5,8,6,2,7]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]
[2,1,8,7,3,6,5,4]=>[2,1,8,7,5,6,4,3]=>[3,4,6,5,7,8,1,2]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[5,8,6,3,1,2,7,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,2,7,1,3,6,4]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[2,6,5,4,1,3,7,8]=>[5,6,4,3,1,2,7,8]=>[8,7,2,1,3,4,6,5]=>[[[[.,.],[.,[.,[[.,.],.]]]],.],.]
[6,3,4,2,1,8,7,5]=>[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[4,5,1,7,6,3,2,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[6,2,1,5,4,3,8,7]=>[6,3,2,5,4,1,8,7]=>[7,8,1,4,5,2,3,6]=>[[.,[[.,[.,.]],[.,[.,.]]]],[.,.]]
[1,4,2,6,7,8,5,3]=>[1,8,3,7,5,6,4,2]=>[2,4,6,5,7,3,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[2,5,3,6,7,8,4,1]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[1,8,6,2,4,3,5,7]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[3,2,4,5,7,8,1,6]=>[7,2,3,4,8,6,1,5]=>[5,1,6,8,4,3,2,7]=>[[.,[[[.,.],.],.]],[.,[[.,.],.]]]
[2,3,4,7,5,8,6,1]=>[8,2,3,7,5,6,4,1]=>[1,4,6,5,7,3,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[6,5,2,8,7,4,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,5,4,2,1,6,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,5,2,8,6,4,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,3,2,6,5,4,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,2,6,3,7,5,1,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,6,7,2,5,3,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,6,2,7,8,4,5,3]=>[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[8,6,2,7,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,6,8,2,7,5,3,4]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[7,6,3,2,8,1,5,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,1,7,4,3,8,6,2]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[8,6,3,7,2,4,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,7,8,6,4,2,3,5]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,2,8,6,4,1,3,5]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[1,5,3,7,4,2,6,8]=>[1,6,5,7,3,2,4,8]=>[8,4,2,3,7,5,6,1]=>[[[[.,.],[.,.]],[[.,[.,.]],.]],.]
[1,7,6,3,4,2,5,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[1,2,7,4,3,8,6,5]=>[1,2,8,5,4,7,6,3]=>[3,6,7,4,5,8,2,1]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]
[1,5,4,2,3,8,7,6]=>[1,5,4,3,2,8,7,6]=>[6,7,8,2,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]
[1,5,3,2,4,6,7,8]=>[1,5,4,3,2,6,7,8]=>[8,7,6,2,3,4,5,1]=>[[[[[.,.],[.,[.,[.,.]]]],.],.],.]
[1,5,4,2,3,7,8,6]=>[1,5,4,3,2,8,7,6]=>[6,7,8,2,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]
[8,1,3,2,6,5,7,4]=>[8,2,4,3,7,6,5,1]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[4,3,7,2,8,1,6,5]=>[6,4,8,2,7,1,5,3]=>[3,5,1,7,2,8,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[7,5,6,1,3,2,8,4]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,3,4,1,8,2,6,5]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[7,4,5,1,6,3,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,5,6,1,4,3,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,2,7,6,8,3,5,1]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[3,2,6,4,8,5,7,1]=>[8,2,6,4,7,3,5,1]=>[1,5,3,7,4,6,2,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[4,2,8,3,6,5,7,1]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,1,4,3,5,2,7,6]=>[8,2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[6,2,8,5,7,1,4,3]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[6,4,8,5,7,1,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,5,7,3,4,1,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,2,7,6,8,1,4,3]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[7,5,6,1,8,2,4,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,3,6,1,8,2,5,4]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[7,2,8,1,6,3,5,4]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[10,5,9,4,8,3,7,2,6,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,3,6,5,4,1,2,7]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,7,5,8,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,5,7,1,2,8,3,4]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,7,5,6,8,1,2,4]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[8,1,2,5,3,7,6,4]=>[8,2,3,7,5,6,4,1]=>[1,4,6,5,7,3,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[8,6,5,2,4,1,7,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,6,5,2,4,1,7,8]=>[6,5,4,3,2,1,7,8]=>[8,7,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[6,8,5,2,4,3,1,7]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[3,4,2,8,6,7,1,5]=>[7,3,2,8,6,5,1,4]=>[4,1,5,6,8,2,3,7]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]
[3,7,1,6,2,5,8,4]=>[5,8,3,6,1,4,7,2]=>[2,7,4,1,6,3,8,5]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]
[4,6,7,2,5,1,8,3]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,6,2,5,1,7,8,4]=>[5,8,3,4,1,6,7,2]=>[2,7,6,1,4,3,8,5]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]
[3,4,2,7,8,1,5,6]=>[6,3,2,8,7,1,5,4]=>[4,5,1,7,8,2,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]
[3,8,5,2,4,7,1,6]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[7,1,4,2,5,8,6,3]=>[8,2,7,4,5,6,3,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[7,8,5,1,2,4,3,6]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,8,1,4,3,6,7,2]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[7,2,3,8,6,4,1,5]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,2,3,8,7,4,1,6]=>[7,6,3,8,5,2,1,4]=>[4,1,2,5,8,3,6,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[5,7,6,3,1,2,4,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,6,2,7,8,1,3,5]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[6,2,3,7,1,4,5,8]=>[7,5,3,6,2,4,1,8]=>[8,1,4,2,6,3,5,7]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[2,3,5,7,9,1,4,6,8]=>[6,2,7,8,9,1,3,4,5]=>[5,4,3,1,9,8,7,2,6]=>[[[[.,[.,.]],.],.],[[[[.,.],.],.],.]]
[4,6,7,8,2,1,3,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[2,3,5,7,9,1,4,6,8,10]=>[6,2,7,8,9,1,3,4,5,10]=>[10,5,4,3,1,9,8,7,2,6]=>[[[[[.,[.,.]],.],.],[[[[.,.],.],.],.]],.]
[8,6,3,2,1,7,5,4]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,6,4,9,7,5,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[7,8,5,9,6,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[8,6,4,2,9,7,5,3,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[7,8,5,3,9,6,4,2,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[7,4,8,5,9,6,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[6,7,8,4,9,5,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,7,10,8,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,7,5,10,8,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,9,6,10,7,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,7,5,3,10,8,6,4,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,9,6,4,10,7,5,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,5,9,6,10,7,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[7,8,9,5,10,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,9,6,4,2,10,7,5,3,1]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[8,5,9,6,3,10,7,4,2,1]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[7,8,9,5,3,10,6,4,2,1]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[7,8,4,9,5,10,6,3,2,1]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[6,7,8,9,4,10,5,3,2,1]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[6,1,3,4,2,5,8,7]=>[6,2,5,4,3,1,8,7]=>[7,8,1,3,4,5,2,6]=>[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]
[5,1,3,6,2,4,8,7]=>[6,2,5,4,3,1,8,7]=>[7,8,1,3,4,5,2,6]=>[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]
[1,5,7,6,8,2,4,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,1,3,8,4,2,6]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[2,6,1,4,3,7,8,5]=>[3,8,1,5,4,6,7,2]=>[2,7,6,4,5,1,8,3]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]
[5,3,7,6,1,8,4,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[1,5,6,3,7,8,4,2]=>[1,8,7,4,5,6,3,2]=>[2,3,6,5,4,7,8,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[1,5,7,6,3,8,4,2]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[7,3,5,6,1,8,4,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,3,6,1,5,8,4,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[1,6,3,7,8,5,4,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,7,8,6,3,5,4,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,7,5,6,1,8,4,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,6,2,8,4,7,3,1]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[5,7,6,3,4,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,7,5,4,6,1,2,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,3,4,7,6,8,1,2]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[5,3,7,4,6,1,2,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,3,5,4,6,1,2,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,8,3,5,4,1,2,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,3,5,4,1,2,6,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,7,6,3,4,1,2,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[3,5,4,1,2,7,6,8]=>[5,4,3,2,1,7,6,8]=>[8,6,7,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[5,7,6,1,3,2,4,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,3,4,1,2,7,6,8]=>[5,4,3,2,1,7,6,8]=>[8,6,7,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[7,8,3,1,2,5,4,6]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,8,5,1,3,2,4,6]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,5,6,1,3,2,4,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,5,1,3,8,6,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,1,3,8,2,5,4,6]=>[8,2,5,7,3,6,4,1]=>[1,4,6,3,7,5,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[5,7,6,1,3,8,2,4]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,7,6,3,8,1,4,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,6,3,7,2,4,5,8]=>[1,7,5,6,3,4,2,8]=>[8,2,4,3,6,5,7,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[5,3,2,4,8,1,7,6]=>[6,4,3,2,8,1,7,5]=>[5,7,1,8,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[6,8,5,3,2,7,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,3,7,2,6,5,1,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,6,2,7,1,3,8,5]=>[6,8,5,4,3,1,7,2]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[3,4,6,5,1,8,7,2]=>[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[8,7,1,5,3,2,6,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,5,1,4,7,2,8,6]=>[6,4,3,2,8,1,7,5]=>[5,7,1,8,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[5,1,4,8,7,3,2,6]=>[7,2,6,8,5,3,1,4]=>[4,1,3,5,8,6,2,7]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]
[6,1,3,4,2,7,8,5]=>[8,2,5,4,3,6,7,1]=>[1,7,6,3,4,5,2,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[6,5,2,3,7,8,1,4]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[1,5,3,8,4,2,7,6]=>[1,6,5,8,3,2,7,4]=>[4,7,2,3,8,5,6,1]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[5,4,2,1,8,3,7,6]=>[6,4,3,2,8,1,7,5]=>[5,7,1,8,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[3,1,7,4,2,6,8,5]=>[5,2,8,4,1,6,7,3]=>[3,7,6,1,4,8,2,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[7,4,8,2,3,5,1,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,1,7,3,2,5,6,4]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[8,6,5,2,7,3,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,1,6,8,4,2,7,5]=>[6,2,8,7,5,1,4,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[1,5,2,8,3,6,7,4]=>[1,8,3,7,5,6,4,2]=>[2,4,6,5,7,3,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[5,6,2,3,7,4,1,8]=>[7,6,4,3,5,2,1,8]=>[8,1,2,5,3,4,6,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[6,2,4,7,3,5,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,4,8,5,3,6,7,2]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[2,5,6,3,1,8,4,7]=>[5,7,4,3,1,8,2,6]=>[6,2,8,1,3,4,7,5]=>[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]
[4,5,1,2,7,8,6,3]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[4,8,5,1,2,6,7,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,6,7,5,1,2,8,3]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,2,8,1,4,5,3,6]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,1,4,7,3,8,2,5]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[7,1,6,3,4,8,2,5]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[2,8,4,6,3,1,5,7]=>[6,8,5,7,3,1,4,2]=>[2,4,1,3,7,5,8,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[8,2,6,3,5,1,4,7]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[3,7,4,1,5,8,2,6]=>[7,8,4,3,5,6,1,2]=>[2,1,6,5,3,4,8,7]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]
[3,8,4,1,7,2,5,6]=>[6,8,4,3,7,1,5,2]=>[2,5,1,7,3,4,8,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[6,7,5,1,3,8,2,4]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,5,1,3,6,7,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,8,6,2,4,1,3,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,2,4,1,3,6,7,5]=>[8,4,5,2,3,7,6,1]=>[1,6,7,3,2,5,4,8]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[8,1,3,6,2,5,7,4]=>[8,2,5,7,3,6,4,1]=>[1,4,6,3,7,5,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[5,6,1,3,7,2,8,4]=>[8,6,3,4,5,2,7,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[5,6,1,8,2,3,7,4]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[5,6,1,2,8,4,7,3]=>[8,6,3,4,7,2,5,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[3,7,8,1,6,4,2,5]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[1,7,8,6,3,4,2,5]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,7,3,8,6,4,2,5]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,1,8,6,4,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,8,1,5,6,4,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,1,8,5,6,4,2,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,1,5,8,6,4,2,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,3,5,6,4,2,7]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,3,8,5,6,4,2,7]=>[1,7,8,6,5,4,2,3]=>[3,2,4,5,6,8,7,1]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[1,5,7,8,6,4,2,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,2,6,5,3,4,7]=>[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[8,6,1,5,2,3,4,7]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,5,1,6,2,3,4,7]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,6,1,2,3,8,4,5]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[2,7,8,4,1,3,5,6]=>[5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[6,8,1,2,3,7,4,5]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[8,1,3,5,6,7,2,4]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,7,6,2,5,8,4,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,2,7,3,4,8,1,6]=>[7,5,8,4,2,6,1,3]=>[3,1,6,2,4,8,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[8,6,4,7,3,5,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,7,4,6,5,1,8,3]=>[6,8,5,4,3,1,7,2]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[6,8,7,5,2,1,4,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,2,8,6,4,5,3,7]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,5,8,7,6,3,4,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,4,7,8,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,6,4,8,5,7,3,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,6,8,5,2,7,3,4]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,6,8,5,4,2,3,7]=>[1,7,8,6,5,4,2,3]=>[3,2,4,5,6,8,7,1]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[1,3,4,8,5,2,7,6]=>[1,6,3,8,5,2,7,4]=>[4,7,2,5,8,3,6,1]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[3,5,8,7,6,2,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,5,3,7,4,1,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,1,6,4,2,5,8,7]=>[5,2,6,4,1,3,8,7]=>[7,8,3,1,4,6,2,5]=>[[[.,[.,.]],[.,[[.,.],.]]],[.,.]]
[3,6,1,4,5,7,8,2]=>[8,5,3,4,2,6,7,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]
[1,8,4,7,2,3,6,5]=>[1,8,6,7,5,3,4,2]=>[2,4,3,5,7,6,8,1]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[5,7,8,2,4,6,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,4,2,3,6,8,1,7]=>[7,4,3,2,5,8,1,6]=>[6,1,8,5,2,3,4,7]=>[[.,[[.,[.,[.,.]]],.]],[[.,.],.]]
[3,8,1,6,4,2,5,7]=>[6,8,3,7,5,1,4,2]=>[2,4,1,5,7,3,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[7,3,2,1,8,6,4,5]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[8,7,2,4,1,3,6,5]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[8,2,6,3,5,7,1,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,8,3,7,4,6,5,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,2,3,1,7,4,5,6]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[3,1,7,8,6,2,5,4]=>[6,2,8,7,5,1,4,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[4,8,1,2,6,5,7,3]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[5,6,1,8,3,7,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,8,1,6,5,3,7,4]=>[3,8,1,7,6,5,4,2]=>[2,4,5,6,7,1,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[2,1,5,7,6,3,8,4]=>[2,1,8,6,5,4,7,3]=>[3,7,4,5,6,8,1,2]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[4,1,2,5,7,6,8,3]=>[8,2,3,4,6,5,7,1]=>[1,7,5,6,4,3,2,8]=>[.,[[[[[.,.],.],.],[.,.]],[.,.]]]
[4,3,5,1,7,8,6,2]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[1,8,5,2,3,4,7,6]=>[1,8,6,4,5,3,7,2]=>[2,7,3,5,4,6,8,1]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[1,5,8,2,3,4,7,6]=>[1,6,8,4,5,2,7,3]=>[3,7,2,5,4,8,6,1]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]
[1,2,7,8,4,5,6,3]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[4,3,8,7,6,2,5,1]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[5,4,8,2,7,6,3,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,2,5,6,4,8,1,7]=>[7,2,5,4,3,8,1,6]=>[6,1,8,3,4,5,2,7]=>[[.,[[.,.],[.,[.,.]]]],[[.,.],.]]
[2,3,6,4,1,7,5,8]=>[5,2,7,4,1,6,3,8]=>[8,3,6,1,4,7,2,5]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[2,3,7,1,5,8,4,6]=>[4,2,8,1,7,6,5,3]=>[3,5,6,7,1,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[2,3,6,5,1,7,4,8]=>[5,2,7,4,1,6,3,8]=>[8,3,6,1,4,7,2,5]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[3,6,4,2,1,5,7,8]=>[5,6,4,3,1,2,7,8]=>[8,7,2,1,3,4,6,5]=>[[[[.,.],[.,[.,[[.,.],.]]]],.],.]
[4,3,2,6,5,8,1,7]=>[7,3,2,5,4,8,1,6]=>[6,1,8,4,5,2,3,7]=>[[.,[[.,[.,.]],[.,.]]],[[.,.],.]]
[4,6,5,2,1,7,8,3]=>[8,5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[4,6,1,7,5,8,3,2]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[4,2,6,5,1,7,8,3]=>[8,5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[4,1,5,7,6,8,3,2]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[3,5,6,2,1,4,7,8]=>[5,6,4,3,1,2,7,8]=>[8,7,2,1,3,4,6,5]=>[[[[.,.],[.,[.,[[.,.],.]]]],.],.]
[4,2,5,7,6,8,3,1]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[4,3,6,5,2,8,1,7]=>[7,5,4,3,2,8,1,6]=>[6,1,8,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[4,3,6,5,1,7,8,2]=>[8,5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[3,6,4,5,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[8,7,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[3,5,6,4,2,8,1,7]=>[7,5,4,3,2,8,1,6]=>[6,1,8,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[4,6,5,3,1,7,8,2]=>[8,5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[1,2,3,4,5,7,6,8,9,10]=>[1,2,3,4,5,7,6,8,9,10]=>[10,9,8,6,7,5,4,3,2,1]=>[[[[[[[[[.,.],.],.],.],.],[.,.]],.],.],.]
[5,8,1,4,2,3,6,7]=>[6,8,3,5,4,1,7,2]=>[2,7,1,4,5,3,8,6]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[4,5,8,2,3,1,6,7]=>[6,5,8,4,2,1,7,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[3,5,4,8,1,7,2,6]=>[7,5,3,8,2,6,1,4]=>[4,1,6,2,8,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[5,3,6,8,1,4,7,2]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[3,5,1,8,6,4,7,2]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[4,7,2,8,3,1,6,5]=>[6,8,5,7,3,1,4,2]=>[2,4,1,3,7,5,8,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[1,2,5,6,8,3,7,4]=>[1,2,8,6,7,4,5,3]=>[3,5,4,7,6,8,2,1]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[5,3,8,4,6,2,7,1]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[7,4,8,1,5,2,6,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,3,2,1,6,5,7,4]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[4,1,5,6,8,7,2,3]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[1,2,5,6,8,4,7,3]=>[1,2,8,6,7,4,5,3]=>[3,5,4,7,6,8,2,1]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[1,5,6,8,4,7,2,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,8,1,2,4,7,3]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[6,8,1,4,5,7,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,3,5,1,8,6,7,2]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[5,6,8,2,3,4,7,1]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[9,8,7,4,5,6,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[5,8,7,2,1,3,6,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,1,7,2,8,6,3,4]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[5,8,6,3,2,1,4,7]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[8,7,1,6,3,5,4,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,2,1,7,8,6,4,5]=>[3,2,1,8,7,6,5,4]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[8,6,7,1,2,5,3,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,5,1,4,8,2,3,6]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,2,8,1,7,5,6,4]=>[4,2,8,1,7,6,5,3]=>[3,5,6,7,1,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[8,4,3,1,7,5,6,2]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[6,1,7,8,4,2,3,5]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,4,3,1,8,5,2,6]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[7,8,1,6,3,4,5,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,8,1,7,3,4,2,5]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,5,6,7,8,9,2,3,4]=>[1,9,8,7,5,6,4,3,2]=>[2,3,4,6,5,7,8,9,1]=>[[.,.],[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,4,2,1,5,6,7,8,9]=>[4,3,2,1,5,6,7,8,9]=>[9,8,7,6,5,1,2,3,4]=>[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.]
[4,3,1,2,5,6,7,8,9]=>[4,3,2,1,5,6,7,8,9]=>[9,8,7,6,5,1,2,3,4]=>[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.]
[3,4,2,1,5,6,7,8,9,10]=>[4,3,2,1,5,6,7,8,9,10]=>[10,9,8,7,6,5,1,2,3,4]=>[[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.],.]
[4,5,2,1,3,6,7,8,9]=>[5,4,3,2,1,6,7,8,9]=>[9,8,7,6,1,2,3,4,5]=>[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.]
[5,3,1,2,4,6,7,8,9]=>[5,4,3,2,1,6,7,8,9]=>[9,8,7,6,1,2,3,4,5]=>[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.]
[4,3,5,1,2,6,7,8,9]=>[5,4,3,2,1,6,7,8,9]=>[9,8,7,6,1,2,3,4,5]=>[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.]
[4,3,1,2,5,6,7,8,9,10]=>[4,3,2,1,5,6,7,8,9,10]=>[10,9,8,7,6,5,1,2,3,4]=>[[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.],.]
[4,6,5,3,8,2,7,1]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[4,5,6,3,8,1,7,2]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[7,8,3,5,2,1,6,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,3,7,5,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,2,4,5,7,3,1,8]=>[7,6,4,3,5,2,1,8]=>[8,1,2,5,3,4,6,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[7,8,1,5,6,4,3,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,3,7,5,1,4,2,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,3,8,2,4,6,7,5]=>[1,4,8,2,5,7,6,3]=>[3,6,7,5,2,8,4,1]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]
[3,1,7,2,5,8,6,4]=>[4,2,8,1,7,6,5,3]=>[3,5,6,7,1,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[2,8,7,6,3,5,1,4]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[2,8,7,1,5,6,4,3]=>[4,8,7,1,6,5,3,2]=>[2,3,5,6,1,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[3,5,6,2,8,1,7,4]=>[6,8,4,3,7,1,5,2]=>[2,5,1,7,3,4,8,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[5,3,1,8,6,2,7,4]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[4,1,5,7,3,8,2,6]=>[7,2,5,8,3,6,1,4]=>[4,1,6,3,8,5,2,7]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[6,2,5,8,4,7,3,1]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[7,2,8,5,4,3,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,1,6,8,2,5,3,4]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,6,5,7,8,4,1,3]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[3,6,5,7,4,1,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[1,6,5,7,4,2,3,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[3,4,7,5,2,1,8,6]=>[6,5,8,4,2,1,7,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[3,6,7,5,8,4,1,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,4,7,2,5,6,8,1]=>[8,4,6,2,5,3,7,1]=>[1,7,3,5,2,6,4,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[2,5,3,7,8,6,4,1]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,2,8,4,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,2,3,8,5,4,7,1]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[5,4,3,1,2,6,7,8,9]=>[5,4,3,2,1,6,7,8,9]=>[9,8,7,6,1,2,3,4,5]=>[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.]
[6,5,4,3,1,2,7,8,9]=>[6,5,4,3,2,1,7,8,9]=>[9,8,7,1,2,3,4,5,6]=>[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.]
[6,5,4,3,1,2,7,8,9,10]=>[6,5,4,3,2,1,7,8,9,10]=>[10,9,8,7,1,2,3,4,5,6]=>[[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.],.]
[7,6,5,4,3,1,2,8,9,10]=>[7,6,5,4,3,2,1,8,9,10]=>[10,9,8,1,2,3,4,5,6,7]=>[[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.],.]
[6,8,7,3,2,4,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,8,6,1,4,5,7,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,5,8,6,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,7,6,3,8,5,1,4]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[2,3,1,8,4,6,5,7]=>[3,2,1,8,5,7,6,4]=>[4,6,7,5,8,1,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[2,3,1,7,6,8,4,5]=>[3,2,1,8,7,6,5,4]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[2,3,1,8,4,6,7,5]=>[3,2,1,8,5,7,6,4]=>[4,6,7,5,8,1,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[4,2,3,5,1,8,6,7]=>[5,3,2,4,1,8,7,6]=>[6,7,8,1,4,2,3,5]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]
[5,8,7,2,6,4,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,5,1,7,4,3,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,8,5,2,7,4,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,3,8,6,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,5,8,1,6,4,3,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,5,8,2,6,4,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,3,2,8,1,7,5,4]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[2,1,3,4,5,6,8,7,9]=>[2,1,3,4,5,6,8,7,9]=>[9,7,8,6,5,4,3,1,2]=>[[[[[[[.,[.,.]],.],.],.],.],[.,.]],.]
[2,6,8,7,1,3,5,4]=>[5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[5,3,8,7,6,2,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,7,6,1,4,5,2,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,1,6,2,7,5,3,8]=>[7,2,6,4,5,3,1,8]=>[8,1,3,5,4,6,2,7]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[7,6,2,5,3,1,4,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,3,1,7,6,2,5,8]=>[6,3,2,7,5,1,4,8]=>[8,4,1,5,7,2,3,6]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[4,5,3,1,2,8,6,7]=>[5,4,3,2,1,8,7,6]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[2,4,5,3,1,8,6,7]=>[5,4,3,2,1,8,7,6]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[5,7,6,2,3,1,4,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,1,3,7,5,2,6,8]=>[6,2,3,7,5,1,4,8]=>[8,4,1,5,7,3,2,6]=>[[[.,[[.,.],.]],[.,[[.,.],.]]],.]
[4,1,6,3,2,7,5,8]=>[5,2,7,4,1,6,3,8]=>[8,3,6,1,4,7,2,5]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[7,5,4,1,3,2,6,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[2,5,7,4,1,3,6,8]=>[5,6,7,4,1,2,3,8]=>[8,3,2,1,4,7,6,5]=>[[[[.,.],.],[.,[[[.,.],.],.]]],.]
[5,7,4,1,3,2,6,8]=>[6,7,5,4,3,1,2,8]=>[8,2,1,3,4,5,7,6]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[2,6,8,4,5,3,1,7]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[5,2,3,7,4,1,6,8]=>[6,5,3,7,2,1,4,8]=>[8,4,1,2,7,3,5,6]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[4,5,1,6,3,2,7,8]=>[6,5,3,4,2,1,7,8]=>[8,7,1,2,4,3,5,6]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[5,1,6,3,2,4,7,8]=>[6,2,5,4,3,1,7,8]=>[8,7,1,3,4,5,2,6]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[4,2,5,1,6,3,7,8]=>[6,4,3,2,5,1,7,8]=>[8,7,1,5,2,3,4,6]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[5,1,6,2,4,3,7,8]=>[6,2,5,4,3,1,7,8]=>[8,7,1,3,4,5,2,6]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[5,3,4,8,7,6,2,1]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,3,1,6,7,5,4,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,4,6,5,7,2,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,8,2,6,7,4,5,3]=>[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[8,5,7,2,4,3,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,3,6,4,7,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,2,5,3,6,7,4,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,8,5,2,7,1,3,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,4,5,2,1,8,3]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,2,4,7,6,3,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,5,1,4,6,3,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,3,8,5,4,2,1,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,3,4,7,2,8,5,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,1,7,3,6,4,2,5]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,1,8,5,3,4,2,6]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,8,4,3,1,5,2,7]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[1,4,5,8,3,2,6,7]=>[1,6,5,8,3,2,7,4]=>[4,7,2,3,8,5,6,1]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[1,5,2,4,7,8,6,3]=>[1,8,3,4,7,6,5,2]=>[2,5,6,7,4,3,8,1]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[5,2,7,4,3,8,6,1]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[2,7,3,4,8,5,6,1]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[2,7,6,8,3,5,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,7,4,5,3,8,6,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,2,3,7,4,5,8,1]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[7,3,5,2,6,8,1,4]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,4,2,7,1,5,8,3]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[2,5,3,6,4,7,8,1]=>[8,5,3,4,2,6,7,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]
[1,6,5,2,4,7,3,8]=>[1,7,5,4,3,6,2,8]=>[8,2,6,3,4,5,7,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[1,8,7,2,4,6,3,5]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,8,7,2,5,4,3,6]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,5,4,2,7,3,6,8]=>[1,6,4,3,7,2,5,8]=>[8,5,2,7,3,4,6,1]=>[[[[.,.],[.,[.,.]]],[[.,.],.]],.]
[1,5,4,2,8,7,3,6]=>[1,7,4,3,8,6,2,5]=>[5,2,6,8,3,4,7,1]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]
[1,6,8,3,5,2,4,7]=>[1,7,8,6,5,4,2,3]=>[3,2,4,5,6,8,7,1]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[1,7,6,2,3,5,8,4]=>[1,8,6,4,5,3,7,2]=>[2,7,3,5,4,6,8,1]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[1,2,8,3,6,5,4,7]=>[1,2,8,4,7,6,5,3]=>[3,5,6,7,4,8,2,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[1,3,8,6,5,2,4,7]=>[1,6,8,7,5,2,4,3]=>[3,4,2,5,7,8,6,1]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]
[1,8,6,5,2,4,7,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,6,8,4,3,2,5,7]=>[1,7,8,6,5,4,2,3]=>[3,2,4,5,6,8,7,1]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[1,7,5,3,2,6,4,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[1,2,6,5,3,8,4,7]=>[1,2,7,5,4,8,3,6]=>[6,3,8,4,5,7,2,1]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]
[1,8,3,7,2,4,6,5]=>[1,8,5,7,3,6,4,2]=>[2,4,6,3,7,5,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[5,4,2,8,7,6,1,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,6,3,2,5,7,4,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,3,2,1,6,5,8,4]=>[8,4,3,2,6,5,7,1]=>[1,7,5,6,2,3,4,8]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[7,3,2,6,1,5,8,4]=>[8,5,3,6,2,4,7,1]=>[1,7,4,2,6,3,5,8]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[6,8,5,2,7,1,4,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,2,5,1,7,4,3]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[6,8,5,7,2,1,4,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,5,8,2,7,4,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,2,1,7,5,8,4,3]=>[8,3,2,7,5,6,4,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[1,6,4,8,5,3,7,2]=>[1,8,6,7,5,3,4,2]=>[2,4,3,5,7,6,8,1]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[3,5,6,2,8,7,1,4]=>[7,8,4,3,6,5,1,2]=>[2,1,5,6,3,4,8,7]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]
[1,6,5,3,4,7,8,2]=>[1,8,5,4,3,6,7,2]=>[2,7,6,3,4,5,8,1]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[4,6,5,1,3,7,8,2]=>[8,5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[5,1,7,2,6,4,8,3]=>[8,2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[4,1,7,6,5,8,2,3]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[4,2,3,6,7,8,1,5]=>[7,3,2,8,5,6,1,4]=>[4,1,6,5,8,2,3,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[4,7,2,1,6,5,8,3]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[2,7,6,4,1,5,8,3]=>[5,8,6,4,1,3,7,2]=>[2,7,3,1,4,6,8,5]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]
[2,4,3,6,7,8,1,5]=>[7,3,2,8,5,6,1,4]=>[4,1,6,5,8,2,3,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[6,8,5,2,7,3,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,5,2,4,1,8,3,6]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,5,1,3,7,8,2,4]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[6,1,2,4,3,7,8,5]=>[8,2,3,5,4,6,7,1]=>[1,7,6,4,5,3,2,8]=>[.,[[[[[.,.],.],[.,.]],.],[.,.]]]
[8,1,5,4,2,3,6,7]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[7,5,6,1,2,4,8,3]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,1,4,8,7,2,3,5]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,1,8,5,7,2,3,4]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,6,7,5,8,3,4,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,1,7,5,8,2,3,4]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,1,4,7,8,2,3,5]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,2,3,7,5,4,6]=>[8,2,3,4,7,6,5,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[5,8,6,1,2,4,7,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,6,8,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,1,8,7,5,2,3,4]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,3,1,2,4,7,5,8]=>[7,4,3,2,5,6,1,8]=>[8,1,6,5,2,3,4,7]=>[[.,[[[.,[.,[.,.]]],.],[.,.]]],.]
[6,7,1,4,2,3,5,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[6,1,7,4,8,2,3,5]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,7,8,5,1,2,4,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,5,4,3,2,7,9,1]=>[9,7,6,5,4,3,2,8,1]=>[1,8,2,3,4,5,6,7,9]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]]
[8,9,5,4,3,2,1,6,7]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[4,3,8,5,6,2,7,1]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[4,3,8,6,7,2,5,1]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[7,6,8,1,5,3,4,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,4,6,1,5,3,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,3,8,1,7,2,5,4]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[6,1,5,4,8,2,7,3]=>[8,2,6,4,7,3,5,1]=>[1,5,3,7,4,6,2,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[6,2,5,4,7,1,8,3]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[2,6,3,4,8,7,5,1]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[2,7,4,5,1,8,3,6]=>[5,8,7,4,1,6,3,2]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[8,4,5,7,6,1,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,5,7,1,3,6,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,1,3,4,6,7,5,2]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,7,6,2,3,5,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,3,6,7,5,1,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,2,1,6,5,7,4,3]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[2,7,1,8,5,6,4,3]=>[3,8,1,7,6,5,4,2]=>[2,4,5,6,7,1,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[2,7,8,6,1,5,3,4]=>[5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[4,6,8,2,3,5,1,7]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[6,8,2,1,3,5,4,7]=>[7,8,4,3,5,6,1,2]=>[2,1,6,5,3,4,8,7]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]
[3,5,1,6,4,8,2,7]=>[7,5,3,4,2,8,1,6]=>[6,1,8,2,4,3,5,7]=>[[.,[.,[[.,.],[.,.]]]],[[.,.],.]]
[3,5,8,6,2,1,4,7]=>[6,7,8,5,4,1,2,3]=>[3,2,1,4,5,8,7,6]=>[[[.,.],.],[.,[.,[[[.,.],.],.]]]]
[4,8,2,5,6,1,3,7]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[5,3,8,4,2,7,6,1]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[2,8,5,3,1,4,7,6]=>[5,8,6,4,1,3,7,2]=>[2,7,3,1,4,6,8,5]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]
[1,7,8,4,6,3,2,5]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,7,2,4,6,3,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,3,2,1,6,4,5]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,8,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,3,6,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,1,2,8,6,5,7,4]=>[3,2,1,8,7,6,5,4]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[3,8,2,7,5,4,6,1]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,7,1,4,5,3,6,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,8,7,4,6,3,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,8,7,4,6,3,1,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[8,3,4,1,2,5,7,6]=>[8,5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[8,4,1,3,2,5,7,6]=>[8,5,3,4,2,6,7,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]
[7,3,8,6,2,1,4,5]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[7,2,8,4,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,6,4,7,2,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,7,2,6,5,8,3,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,6,8,5,7,4,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,5,2,4,8,3,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,1,2,7,5,6,3,4]=>[8,2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[8,2,7,3,4,6,1,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,7,5,4,8,1,3,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,3,5,6,4,7,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,6,2,4,3,7,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,4,5,1,3,2,7]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[6,4,8,7,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,1,4,3,2,8,5]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[7,2,5,1,4,8,3,6]=>[8,4,7,2,5,6,3,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[5,8,1,3,4,2,7,6]=>[6,8,3,5,4,1,7,2]=>[2,7,1,4,5,3,8,6]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[1,3,7,6,8,4,2,5]=>[1,7,8,6,5,4,2,3]=>[3,2,4,5,6,8,7,1]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[1,6,7,3,2,8,5,4]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[3,2,7,6,8,4,5,1]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,3,8,5,2,7,6,4]=>[1,5,8,7,2,6,4,3]=>[3,4,6,2,7,8,5,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[7,6,5,3,1,8,2,4]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,5,1,4,7,3,6,8]=>[3,6,1,4,7,2,5,8]=>[8,5,2,7,4,1,6,3]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]
[3,1,6,5,7,2,4,8]=>[6,2,7,4,5,1,3,8]=>[8,3,1,5,4,7,2,6]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[2,6,1,5,7,4,8,3]=>[3,8,1,6,5,4,7,2]=>[2,7,4,5,6,1,8,3]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[2,5,7,1,6,3,8,4]=>[4,8,6,1,5,3,7,2]=>[2,7,3,5,1,6,8,4]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[3,1,6,5,2,4,7,8]=>[5,2,6,4,1,3,7,8]=>[8,7,3,1,4,6,2,5]=>[[[[.,[.,.]],[.,[[.,.],.]]],.],.]
[3,6,5,1,4,2,7,8]=>[6,5,4,3,2,1,7,8]=>[8,7,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[3,6,5,2,1,4,7,8]=>[5,6,4,3,1,2,7,8]=>[8,7,2,1,3,4,6,5]=>[[[[.,.],[.,[.,[[.,.],.]]]],.],.]
[5,4,3,6,1,7,2,8]=>[7,5,3,4,2,6,1,8]=>[8,1,6,2,4,3,5,7]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[4,5,2,7,6,1,3,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[4,6,5,3,1,2,7,8]=>[6,5,4,3,2,1,7,8]=>[8,7,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[5,4,1,6,3,7,2,8]=>[7,5,3,4,2,6,1,8]=>[8,1,6,2,4,3,5,7]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[5,4,2,6,3,7,8,1]=>[8,5,3,4,2,6,7,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]
[3,6,5,7,1,4,2,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[3,6,5,1,4,7,2,8]=>[7,5,4,3,2,6,1,8]=>[8,1,6,2,3,4,5,7]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[4,3,6,5,7,1,2,8]=>[7,6,4,3,5,2,1,8]=>[8,1,2,5,3,4,6,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[4,2,6,5,1,3,7,8]=>[6,5,4,3,2,1,7,8]=>[8,7,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[4,1,6,5,3,7,8,2]=>[8,2,5,4,3,6,7,1]=>[1,7,6,3,4,5,2,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[4,2,5,7,6,1,3,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[3,4,7,6,1,2,5,8]=>[6,5,7,4,2,1,3,8]=>[8,3,1,2,4,7,5,6]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[4,2,5,7,6,3,8,1]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[4,1,6,5,2,7,3,8]=>[7,2,5,4,3,6,1,8]=>[8,1,6,3,4,5,2,7]=>[[.,[[[.,.],[.,[.,.]]],[.,.]]],.]
[3,6,5,7,2,1,4,8]=>[6,7,5,4,3,1,2,8]=>[8,2,1,3,4,5,7,6]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[3,5,7,6,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,4,2,6,3,7,1,8]=>[7,5,3,4,2,6,1,8]=>[8,1,6,2,4,3,5,7]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[4,6,5,2,7,3,1,8]=>[7,6,4,3,5,2,1,8]=>[8,1,2,5,3,4,6,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[4,6,5,2,1,7,3,8]=>[7,5,4,3,2,6,1,8]=>[8,1,6,2,3,4,5,7]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[3,5,8,2,1,4,6,7]=>[5,6,8,4,1,2,7,3]=>[3,7,2,1,4,8,6,5]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]
[3,5,8,2,4,6,7,1]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[5,3,8,2,1,4,6,7]=>[6,5,8,4,2,1,7,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[5,3,1,8,2,4,6,7]=>[6,5,3,8,2,1,7,4]=>[4,7,1,2,8,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[5,8,2,1,4,3,6,7]=>[6,8,4,3,5,1,7,2]=>[2,7,1,5,3,4,8,6]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]
[5,8,2,4,1,6,7,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,8,2,4,6,3,1,7]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[5,8,2,4,3,6,1,7]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[5,8,1,4,6,2,3,7]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[1,5,8,4,6,7,2,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,1,8,4,6,7,2,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,8,2,4,6,3,7,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,8,4,6,7,2,1,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[3,8,4,6,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,3,6,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,3,6,7,2,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,2,4,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,8,6,4,5,7,2,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,6,2,4,5,3,1,7]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,8,6,4,2,3,5,7]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,8,1,6,2,4,5,7]=>[5,8,3,7,1,6,4,2]=>[2,4,6,1,7,3,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[3,8,6,2,1,4,5,7]=>[5,8,7,4,1,6,3,2]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[3,8,6,2,4,5,7,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,3,6,2,4,5,1,7]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,1,3,6,2,4,5,7]=>[8,2,5,7,3,6,4,1]=>[1,4,6,3,7,5,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[8,3,6,7,2,1,4,5]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[3,8,6,7,2,1,4,5]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[8,2,6,4,5,1,7,3]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[1,8,4,6,7,5,2,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,4,6,2,3,7,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,7,2,1,3,6,5]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[2,7,1,6,3,5,8,4]=>[3,8,1,6,5,4,7,2]=>[2,7,4,5,6,1,8,3]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[8,4,2,1,5,3,7,6]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[8,2,1,4,7,3,6,5]=>[8,3,2,6,7,4,5,1]=>[1,5,4,7,6,2,3,8]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]
[1,6,2,5,8,4,7,3]=>[1,8,3,6,7,4,5,2]=>[2,5,4,7,6,3,8,1]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[3,2,1,7,4,5,8,6]=>[3,2,1,8,5,6,7,4]=>[4,7,6,5,8,1,2,3]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[2,6,8,5,1,7,4,3]=>[5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[2,1,5,8,7,3,6,4]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[3,2,1,6,7,4,8,5]=>[3,2,1,8,6,5,7,4]=>[4,7,5,6,8,1,2,3]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[4,3,1,7,8,5,2,6]=>[7,3,2,8,6,5,1,4]=>[4,1,5,6,8,2,3,7]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]
[5,6,8,2,4,3,7,1]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[2,8,5,3,6,4,7,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,2,8,6,4,7,3,5]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[5,3,2,7,8,6,4,1]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,2,7,8,3,5,6,1]=>[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[2,8,3,7,1,4,6,5]=>[5,8,3,7,1,6,4,2]=>[2,4,6,1,7,3,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[2,8,7,1,5,3,6,4]=>[4,8,7,1,6,5,3,2]=>[2,3,5,6,1,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[7,3,5,6,4,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,8,4,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[4,8,3,2,7,5,6,1]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[3,2,4,8,7,5,6,1]=>[8,2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[2,6,8,1,5,3,4,7]=>[4,7,8,1,6,5,2,3]=>[3,2,5,6,1,8,7,4]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]
[3,2,5,6,8,1,4,7]=>[6,2,7,4,8,1,3,5]=>[5,3,1,8,4,7,2,6]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]
[3,8,1,6,4,5,2,7]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[8,1,3,6,5,4,2,7]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,4,3,6,2,1,8,5]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[1,2,4,8,6,3,7,5]=>[1,2,6,8,7,3,5,4]=>[4,5,3,7,8,6,2,1]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]
[5,7,2,3,1,4,8,6]=>[6,8,5,4,3,1,7,2]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[7,1,5,2,4,6,8,3]=>[8,2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[8,4,2,7,3,5,6,1]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[1,8,6,4,7,5,3,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,1,5,8,6,3,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,5,8,7,3,1,2,6]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[1,3,8,7,6,4,2,5]=>[1,7,8,6,5,4,2,3]=>[3,2,4,5,6,8,7,1]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[2,8,5,1,7,4,6,3]=>[4,8,7,1,6,5,3,2]=>[2,3,5,6,1,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,8,6,4,7,5,2,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,7,4,6,3,8,5,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[1,2,8,6,4,7,5,3]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[4,1,8,6,3,7,5,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,4,3,1,6,2,5,7]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[7,5,4,3,8,1,6,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,4,2,1,5,7,3,8]=>[7,5,4,3,2,6,1,8]=>[8,1,6,2,3,4,5,7]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[3,1,5,8,7,2,4,6]=>[6,2,7,8,5,1,3,4]=>[4,3,1,5,8,7,2,6]=>[[[.,[.,.]],.],[.,[[[.,.],.],.]]]
[3,2,5,7,8,4,6,1]=>[8,2,6,7,5,3,4,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[5,3,7,4,2,6,8,1]=>[8,5,6,4,2,3,7,1]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[5,3,7,4,2,6,1,8]=>[7,5,6,4,2,3,1,8]=>[8,1,3,2,4,6,5,7]=>[[.,[[.,.],[.,[[.,.],[.,.]]]]],.]
[5,3,8,4,2,1,6,7]=>[6,5,8,4,2,1,7,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[5,2,8,4,3,1,6,7]=>[6,5,8,4,2,1,7,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[5,2,7,4,3,6,1,8]=>[7,5,6,4,2,3,1,8]=>[8,1,3,2,4,6,5,7]=>[[.,[[.,.],[.,[[.,.],[.,.]]]]],.]
[5,2,7,4,3,6,8,1]=>[8,5,6,4,2,3,7,1]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[5,3,7,4,1,6,8,2]=>[8,5,6,4,2,3,7,1]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[3,1,5,7,8,4,6,2]=>[8,2,6,7,5,3,4,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[3,1,5,7,8,4,2,6]=>[7,2,6,8,5,3,1,4]=>[4,1,3,5,8,6,2,7]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]
[5,2,7,4,1,3,8,6]=>[6,5,8,4,2,1,7,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[6,2,3,7,4,8,5,1]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[6,2,3,7,4,8,1,5]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[6,2,3,7,4,5,1,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[6,1,3,7,4,5,8,2]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[1,2,8,6,4,3,5,7]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,8,6,3,5,4,2,7]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,6,1,8,5,3,4,7]=>[3,7,1,8,6,5,2,4]=>[4,2,5,6,8,1,7,3]=>[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]
[4,5,7,8,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,5,7,8,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,8,2,7,5,3,4,6]=>[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[2,5,4,1,8,6,7,3]=>[4,8,3,1,7,6,5,2]=>[2,5,6,7,1,3,8,4]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[5,6,8,3,4,2,7,1]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[4,1,5,3,8,6,7,2]=>[8,2,4,3,7,6,5,1]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[7,3,5,1,4,8,6,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,1,7,8,2,4,3,6]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[8,5,4,6,1,7,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,3,2,1,4,6,8,7]=>[5,4,3,2,1,6,8,7]=>[7,8,6,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]]
[5,3,2,4,8,1,6,7]=>[6,4,3,2,8,1,7,5]=>[5,7,1,8,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[5,3,2,4,7,1,8,6]=>[6,4,3,2,8,1,7,5]=>[5,7,1,8,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[8,4,5,3,7,1,2,6]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,8,1,7,3,5,6,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,3,2,4,6,8,1,7]=>[7,4,3,2,5,8,1,6]=>[6,1,8,5,2,3,4,7]=>[[.,[[.,[.,[.,.]]],.]],[[.,.],.]]
[2,7,6,3,1,4,8,5]=>[5,8,6,4,1,3,7,2]=>[2,7,3,1,4,6,8,5]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]
[3,7,4,5,6,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,7,1,4,2,5,3,6]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,6,8,3,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,7,3,5,8,1,6,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,4,3,5,7,1,6,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,7,6,4,2,5,3,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[7,6,4,2,8,3,1,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,5,2,4,3,7,1,6]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,5,1,4,3,7,6,2]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[7,5,4,1,3,6,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,6,7,2,5,1,8,4]=>[6,8,5,4,3,1,7,2]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[2,6,5,7,1,4,8,3]=>[5,8,6,4,1,3,7,2]=>[2,7,3,1,4,6,8,5]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]
[3,5,1,7,8,4,6,2]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[8,1,2,4,7,6,5,3]=>[8,2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[3,4,1,8,6,7,5,2]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[4,3,8,5,1,7,6,2]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[6,1,3,2,8,5,7,4]=>[8,2,4,3,7,6,5,1]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[8,5,3,2,4,7,1,6]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,7,4,2,5,8,3,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,5,4,2,6,3,1,7]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,5,2,1,6,4,3,7]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[8,4,6,5,1,3,2,7]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,3,7,1,4,6,8,2]=>[8,5,6,4,2,3,7,1]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[5,7,2,6,1,4,8,3]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,8,5,7,6,1,2,4]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[8,4,7,5,2,1,3,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,8,6,4,7,2,1,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[5,2,7,4,6,8,3,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,8,6,3,7,2,1,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[2,8,3,1,7,6,4,5]=>[4,8,3,1,7,6,5,2]=>[2,5,6,7,1,3,8,4]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[2,5,6,4,8,1,7,3]=>[6,8,4,3,7,1,5,2]=>[2,5,1,7,3,4,8,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[5,7,2,1,6,8,3,4]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[4,7,8,5,1,6,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,5,6,3,1,7,8,2]=>[8,5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[3,5,6,7,4,1,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,5,1,4,2,8,7,6]=>[5,4,3,2,1,8,7,6]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[3,5,1,4,2,6,8,7]=>[5,4,3,2,1,6,8,7]=>[7,8,6,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]]
[3,5,1,4,2,6,7,8]=>[5,4,3,2,1,6,7,8]=>[8,7,6,1,2,3,4,5]=>[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]
[1,3,8,4,6,2,5,7]=>[1,6,8,4,7,2,5,3]=>[3,5,2,7,4,8,6,1]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[1,2,8,6,7,5,4,3]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,5,4,3,2,6,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[8,9,10,5,6,7,1,3,4,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,9,10,5,6,1,3,4,7,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,9,10,5,6,3,4,7,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,9,5,6,10,1,3,4,7,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,9,5,6,10,3,4,7,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,9,10,5,6,7,1,3,2,4]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,9,10,5,6,1,3,7,2,4]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,9,10,5,6,3,7,1,2,4]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,9,5,6,10,1,3,7,2,4]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,9,5,6,10,3,7,1,2,4]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,9,10,5,6,1,3,2,4,7]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,9,10,5,6,3,1,2,4,7]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,9,10,5,6,3,2,4,7,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,9,5,6,10,1,3,2,4,7]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,9,5,6,10,3,1,2,4,7]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,9,5,6,10,3,2,4,7,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,9,10,5,1,3,6,7,2,4]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[8,9,10,5,3,6,7,1,2,4]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,9,5,10,1,3,6,7,2,4]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[8,9,5,10,3,6,7,1,2,4]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,9,10,5,1,3,6,2,4,7]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[8,9,10,5,3,6,1,2,4,7]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,9,10,5,3,6,2,4,7,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,9,5,10,1,3,6,2,4,7]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[8,9,5,10,3,6,1,2,4,7]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,9,5,10,3,6,2,4,7,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,9,5,3,6,10,1,2,4,7]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[8,9,5,3,6,10,2,4,7,1]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[8,5,9,10,1,3,6,7,2,4]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[8,5,9,10,3,6,7,1,2,4]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,5,9,10,1,3,6,2,4,7]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[8,5,9,10,3,6,1,2,4,7]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,5,9,10,3,6,2,4,7,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[3,8,5,7,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,2,4,5,7,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,8,7,4,5,2,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,5,2,4,1,3,8,7]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[7,6,3,2,5,1,8,4]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,2,7,8,3,6,1,5]=>[7,5,8,6,2,4,1,3]=>[3,1,4,2,6,8,5,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[4,6,3,7,5,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,2,5,7,8,6,3,1]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,6,8,4,5,2,1,7]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[8,2,5,7,3,6,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,2,5,8,7,6,3,1]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,7,2,4,5,1,8,3]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,2,7,8,3,6,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,2,8,3,1,6,4,5]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[2,4,7,8,1,3,6,5]=>[5,6,8,7,1,2,4,3]=>[3,4,2,1,7,8,6,5]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]
[8,5,1,2,3,7,4,6]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[5,2,8,3,1,4,7,6]=>[6,5,8,4,2,1,7,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[8,7,2,5,1,4,3,6]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[8,3,5,1,2,4,7,6]=>[8,5,6,4,2,3,7,1]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[8,6,5,1,7,4,2,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,7,4,5,1,2,6,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,4,8,2,1,7,6,5]=>[5,4,8,2,1,7,6,3]=>[3,6,7,1,2,8,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[3,8,4,2,1,7,6,5]=>[5,8,4,3,1,7,6,2]=>[2,6,7,1,3,4,8,5]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[8,3,1,7,5,6,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,4,1,7,5,2,6,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,4,2,7,5,3,1,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,3,7,5,1,2,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,7,6,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,7,6,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,3,1,4,7,6,2,5]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[8,3,5,7,6,2,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,4,6,8,2,5,7,3]=>[1,8,6,7,5,3,4,2]=>[2,4,3,5,7,6,8,1]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[3,6,2,4,8,1,7,5]=>[6,8,3,4,7,1,5,2]=>[2,5,1,7,4,3,8,6]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[7,3,8,2,4,6,1,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,5,2,6,8,3,7,4]=>[1,8,3,6,7,4,5,2]=>[2,5,4,7,6,3,8,1]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[4,5,3,1,8,2,6,7]=>[6,4,3,2,8,1,7,5]=>[5,7,1,8,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[5,1,7,8,3,6,2,4]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,2,8,4,1,3,5,6]=>[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[6,1,7,3,2,8,4,5]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[6,2,1,7,3,8,4,5]=>[8,3,2,7,5,6,4,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[5,8,2,1,3,4,6,7]=>[6,8,4,3,5,1,7,2]=>[2,7,1,5,3,4,8,6]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]
[4,2,5,1,8,3,6,7]=>[6,4,3,2,8,1,7,5]=>[5,7,1,8,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[7,4,2,8,3,1,5,6]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[7,4,2,8,3,5,1,6]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[6,7,8,5,2,1,4,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,6,2,7,8,4,3,5]=>[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[10,1,9,5,6,7,8,2,3,4]=>[10,2,9,8,7,6,5,4,3,1]=>[1,3,4,5,6,7,8,9,2,10]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,1,10,8,6,7,2,3,4,5]=>[10,2,9,8,7,6,5,4,3,1]=>[1,3,4,5,6,7,8,9,2,10]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[8,1,9,10,7,2,3,4,5,6]=>[10,2,9,8,7,6,5,4,3,1]=>[1,3,4,5,6,7,8,9,2,10]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[7,3,4,1,8,6,2,5]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[4,7,6,3,5,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,7,6,5,2,4,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[1,4,7,8,6,2,5,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,6,7,8,3,2,5,4]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,3,2,7,8,4,6,5]=>[1,3,2,8,7,6,5,4]=>[4,5,6,7,8,2,3,1]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]
[6,8,2,3,5,7,4,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,7,1,4,6,2,8,3]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[6,3,1,4,7,8,2,5]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[9,8,7,6,5,1,3,4,2]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,8,7,6,1,4,5,3,2]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[8,7,1,5,4,6,3,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[9,1,7,8,6,5,4,3,2]=>[9,2,8,7,6,5,4,3,1]=>[1,3,4,5,6,7,8,2,9]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,5,7,1,8,6,2,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,3,8,6,5,2,7,1]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[2,3,8,6,5,1,7,4]=>[6,2,8,7,5,1,4,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[5,4,7,3,1,2,6,8]=>[6,5,7,4,2,1,3,8]=>[8,3,1,2,4,7,5,6]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[7,6,2,1,5,4,3,8]=>[7,6,4,3,5,2,1,8]=>[8,1,2,5,3,4,6,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[3,1,2,6,5,7,8,4]=>[3,2,1,8,5,6,7,4]=>[4,7,6,5,8,1,2,3]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[7,3,2,6,1,4,8,5]=>[8,5,3,6,2,4,7,1]=>[1,7,4,2,6,3,5,8]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[3,2,5,6,8,4,1,7]=>[7,2,6,4,8,3,1,5]=>[5,1,3,8,4,6,2,7]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]
[7,2,6,8,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,7,5,6,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,2,5,1,3,6,8,7]=>[5,4,3,2,1,6,8,7]=>[7,8,6,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]]
[4,2,6,1,7,3,5,8,9]=>[6,4,7,2,5,1,3,8,9]=>[9,8,3,1,5,2,7,4,6]=>[[[[.,[.,.]],[[.,.],[[.,.],.]]],.],.]
[4,2,5,1,3,8,9,6,7]=>[5,4,3,2,1,9,8,7,6]=>[6,7,8,9,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,.]]]]
[5,3,4,2,7,1,8,6]=>[6,4,3,2,8,1,7,5]=>[5,7,1,8,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[5,6,8,2,1,3,4,7]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[6,5,2,1,3,8,4,7]=>[7,5,4,3,2,8,1,6]=>[6,1,8,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[6,3,1,2,7,8,4,5]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[8,4,7,1,2,5,3,6]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,4,6,1,8,5,2,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,5,6,7,2,1,4,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,5,6,3,8,4,7,1]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[6,8,4,2,3,1,7,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,7,6,2,8,3,5,4]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[7,1,5,6,3,2,8,4]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[4,1,3,8,5,2,7,6]=>[6,2,3,8,5,1,7,4]=>[4,7,1,5,8,3,2,6]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]
[1,8,5,4,7,2,3,6]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,2,5,6,4,3,1,7]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,4,3,8,6,5,1,7]=>[7,3,2,8,6,5,1,4]=>[4,1,5,6,8,2,3,7]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]
[3,1,4,5,8,6,2,7]=>[7,2,3,4,8,6,1,5]=>[5,1,6,8,4,3,2,7]=>[[.,[[[.,.],.],.]],[.,[[.,.],.]]]
[5,1,7,3,2,8,4,6]=>[7,2,8,5,4,6,1,3]=>[3,1,6,4,5,8,2,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[5,7,8,1,3,2,4,6]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[8,2,4,1,6,7,3,5]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,7,3,6,2,4,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,7,4,8,3,6,2,5]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,8,6,1,3,5,4,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,7,5,8,4,3,2,6]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,3,1,2,7,8,5,4]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[8,2,7,5,3,4,1,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,3,1,2,8,7,5,4]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[8,4,7,2,6,3,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,2,5,7,8,3,6,4]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[7,6,3,4,2,1,8,5]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,4,6,2,3,7,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,4,5,8,1,7,2,6]=>[7,5,3,8,2,6,1,4]=>[4,1,6,2,8,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[6,3,4,2,7,8,1,5]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[5,6,3,7,8,2,1,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,6,3,4,7,2,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,3,8,6,7,5,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,5,6,2,7,8,3,1]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[4,5,6,2,7,1,8,3]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[4,5,6,2,1,7,8,3]=>[8,5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[4,5,6,2,1,7,3,8]=>[7,5,4,3,2,6,1,8]=>[8,1,6,2,3,4,5,7]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[6,8,7,2,3,1,4,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,5,1,6,7,3,2,8]=>[7,6,3,4,5,2,1,8]=>[8,1,2,5,4,3,6,7]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[2,5,1,8,3,7,4,6]=>[3,7,1,8,5,6,2,4]=>[4,2,6,5,8,1,7,3]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[5,7,2,1,3,8,4,6]=>[7,8,4,3,5,6,1,2]=>[2,1,6,5,3,4,8,7]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]
[3,7,5,4,1,6,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,5,6,3,7,2,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,5,4,3,1,2,9,8]=>[7,6,5,4,3,2,1,9,8]=>[8,9,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]
[9,8,7,6,5,4,3,2,1,11,10]=>[9,8,7,6,5,4,3,2,1,11,10]=>[10,11,1,2,3,4,5,6,7,8,9]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],[.,.]]
[8,7,6,5,4,3,1,2,10,9]=>[8,7,6,5,4,3,2,1,10,9]=>[9,10,1,2,3,4,5,6,7,8]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]]
[7,6,5,4,2,1,3,9,8]=>[7,6,5,4,3,2,1,9,8]=>[8,9,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]
[7,6,5,4,1,3,2,9,8]=>[7,6,5,4,3,2,1,9,8]=>[8,9,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]
[9,8,7,6,5,3,2,4,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,8,7,6,5,2,4,3,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[10,9,8,7,6,5,4,2,3,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[2,7,4,5,6,8,1,3]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[2,3,5,8,1,6,7,4]=>[5,2,8,7,1,6,4,3]=>[3,4,6,1,7,8,2,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[2,4,7,5,6,8,1,3]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[7,3,4,6,2,8,1,5]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,7,6,5,2,8,3,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,5,4,8,6,7,3,1]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,5,4,1,6,8,2,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,5,2,1,7,6,3,4]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[2,7,3,6,4,1,8,5]=>[6,8,3,5,4,1,7,2]=>[2,7,1,4,5,3,8,6]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[7,2,1,8,5,6,4,3]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[3,6,5,1,4,8,2,7]=>[7,5,4,3,2,8,1,6]=>[6,1,8,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[6,3,5,4,8,1,2,7]=>[7,6,4,3,8,2,1,5]=>[5,1,2,8,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[2,5,1,4,6,3,8,7]=>[3,6,1,4,5,2,8,7]=>[7,8,2,5,4,1,6,3]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]
[3,1,5,6,4,2,8,7]=>[6,2,5,4,3,1,8,7]=>[7,8,1,3,4,5,2,6]=>[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]
[8,5,6,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,3,5,6,7,1,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,1,4,7,3,6,8,5]=>[2,1,5,8,3,6,7,4]=>[4,7,6,3,8,5,1,2]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]
[5,3,7,6,4,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,7,6,4,2,8,1,5]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[8,6,1,4,3,7,2,5]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,4,7,5,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,1,4,7,6,8,2,3]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[8,4,1,3,7,6,5,2]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[8,3,4,1,6,7,5,2]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[8,1,4,2,6,5,7,3]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,6,4,3,7,2,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,1,4,3,2,6,7]=>[6,8,3,5,4,1,7,2]=>[2,7,1,4,5,3,8,6]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[5,6,4,3,8,2,7,1]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[6,7,4,1,3,2,5,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,8,1,4,3,2,5,6]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,1,8,4,5,3,6,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,3,1,8,6,5,7,2]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[4,3,2,7,5,1,8,6]=>[6,3,2,8,5,1,7,4]=>[4,7,1,5,8,2,3,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[5,2,3,7,4,1,8,6]=>[6,5,3,8,2,1,7,4]=>[4,7,1,2,8,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[2,8,7,1,4,5,6,3]=>[4,8,7,1,6,5,3,2]=>[2,3,5,6,1,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[8,7,1,3,4,5,6,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,8,3,1,4,6,7,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[1,7,2,5,4,6,8,3]=>[1,8,3,6,5,4,7,2]=>[2,7,4,5,6,3,8,1]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[2,5,3,8,1,6,7,4]=>[5,8,3,7,1,6,4,2]=>[2,4,6,1,7,3,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,6,4,2,5,7,8,3]=>[1,8,5,4,3,6,7,2]=>[2,7,6,3,4,5,8,1]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[6,5,3,4,1,7,8,2]=>[8,5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[5,6,3,4,1,7,8,2]=>[8,5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[6,8,2,3,1,5,7,4]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,3,1,5,2,7,8,6]=>[5,3,2,4,1,8,7,6]=>[6,7,8,1,4,2,3,5]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]
[5,2,3,1,4,7,8,6]=>[5,4,3,2,1,8,7,6]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[7,3,6,4,5,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,4,3,7,5,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,2,4,7,8,6,3,1]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,4,8,7,2,3,1,6]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[8,1,4,5,3,6,2,7]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[8,3,5,1,4,6,2,7]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,8,2,1,7,4,3,6]=>[7,8,4,3,6,5,1,2]=>[2,1,5,6,3,4,8,7]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]
[6,5,7,2,1,8,4,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[1,5,4,7,3,8,6,2]=>[1,8,5,7,3,6,4,2]=>[2,4,6,3,7,5,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[7,4,1,3,8,5,6,2]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[3,6,8,4,1,7,2,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[2,1,8,4,7,6,3,5]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,7,5,6,8,4,3,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,5,2,4,7,8,6,1]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[7,5,6,3,8,2,1,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,6,2,7,4,5,8,3]=>[1,8,3,6,5,4,7,2]=>[2,7,4,5,6,3,8,1]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[7,4,2,6,1,5,8,3]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,4,1,6,2,5,7,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,3,4,5,1,6,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,4,2,7,6,1,5,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,7,1,2,6,5,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,4,7,6,1,2,5,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,6,2,1,5,3,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,7,8,1,6,2,4,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,9,6,8,4,5,2,3,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[7,9,5,8,4,6,2,3,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[7,9,5,8,3,6,2,4,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[6,8,4,7,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,9,5,8,3,6,4,1,2]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[7,9,5,8,6,3,4,1,2]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[7,9,8,5,6,3,4,1,2]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[6,9,5,8,4,7,2,3,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[7,9,4,8,3,6,2,5,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[7,9,5,8,2,6,1,4,3]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[6,8,2,7,1,5,4,3]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[7,9,5,8,3,6,4,2,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[8,10,6,9,4,7,2,5,3,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[6,8,7,4,2,5,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,9,5,8,6,3,1,4,2]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[8,10,6,9,4,7,5,2,3,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[7,9,8,5,3,6,4,1,2]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[8,10,6,9,7,4,5,2,3,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,7,5,8,6,3,4,1,2]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[8,10,9,6,7,4,5,2,3,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[6,8,4,5,7,2,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,4,2,5,1,3,7]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[2,5,3,7,6,4,8,1]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[3,1,6,5,4,7,2,8]=>[7,2,5,4,3,6,1,8]=>[8,1,6,3,4,5,2,7]=>[[.,[[[.,.],[.,[.,.]]],[.,.]]],.]
[2,5,6,8,3,4,7,1]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[4,1,3,6,5,2,7,8]=>[6,2,3,5,4,1,7,8]=>[8,7,1,4,5,3,2,6]=>[[[.,[[[.,.],.],[.,[.,.]]]],.],.]
[3,6,2,4,5,7,1,8]=>[7,5,3,4,2,6,1,8]=>[8,1,6,2,4,3,5,7]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[3,6,2,5,4,7,1,8]=>[7,5,3,4,2,6,1,8]=>[8,1,6,2,4,3,5,7]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[3,5,1,7,6,4,2,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[3,6,1,4,5,7,2,8]=>[7,5,3,4,2,6,1,8]=>[8,1,6,2,4,3,5,7]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[4,1,2,6,5,3,7,8]=>[6,2,3,5,4,1,7,8]=>[8,7,1,4,5,3,2,6]=>[[[.,[[[.,.],.],[.,[.,.]]]],.],.]
[4,6,1,3,5,2,7,8]=>[6,5,3,4,2,1,7,8]=>[8,7,1,2,4,3,5,6]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[3,6,4,2,5,7,1,8]=>[7,5,4,3,2,6,1,8]=>[8,1,6,2,3,4,5,7]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[4,2,6,3,5,1,7,8]=>[6,4,5,2,3,1,7,8]=>[8,7,1,3,2,5,4,6]=>[[[.,[[.,.],[[.,.],[.,.]]]],.],.]
[3,4,7,6,5,1,2,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,5,2,7,1,3,6,8]=>[6,5,3,7,2,1,4,8]=>[8,4,1,2,7,3,5,6]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[4,6,1,2,5,3,7,8]=>[6,5,3,4,2,1,7,8]=>[8,7,1,2,4,3,5,6]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[2,6,5,1,4,8,7,3]=>[4,8,5,1,3,7,6,2]=>[2,6,7,3,1,5,8,4]=>[[.,.],[[.,[[.,.],.]],[.,[.,.]]]]
[5,8,4,7,1,3,6,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,4,7,1,3,5,2,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,8,1,3,5,7,4,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,8,3,2,7,4,6,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,8,3,1,5,4,7,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,8,1,2,5,3,7,4]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[5,2,8,3,4,6,7,1]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[5,2,7,1,6,4,8,3]=>[8,4,6,2,5,3,7,1]=>[1,7,3,5,2,6,4,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[4,5,2,6,1,3,7,8]=>[6,5,3,4,2,1,7,8]=>[8,7,1,2,4,3,5,6]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[4,3,5,8,6,1,7,2]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[5,1,3,6,7,4,2,8]=>[7,2,6,4,5,3,1,8]=>[8,1,3,5,4,6,2,7]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[4,2,8,3,6,7,5,1]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[3,1,7,8,5,6,2,4]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[6,2,1,7,5,3,4,8]=>[7,3,2,6,5,4,1,8]=>[8,1,4,5,6,2,3,7]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[3,7,1,8,5,2,4,6]=>[6,8,3,7,5,1,4,2]=>[2,4,1,5,7,3,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[4,2,8,6,7,1,3,5]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[6,1,2,4,7,3,5,8]=>[7,2,3,6,5,4,1,8]=>[8,1,4,5,6,3,2,7]=>[[.,[[[.,.],.],[.,[.,[.,.]]]]],.]
[5,3,1,6,4,7,2,8]=>[7,5,3,4,2,6,1,8]=>[8,1,6,2,4,3,5,7]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[1,2,4,5,8,7,3,6]=>[1,2,7,4,8,6,3,5]=>[5,3,6,8,4,7,2,1]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]
[1,3,4,7,5,8,6,2]=>[1,8,3,7,5,6,4,2]=>[2,4,6,5,7,3,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,5,2,3,7,8,6,4]=>[1,8,3,4,7,6,5,2]=>[2,5,6,7,4,3,8,1]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[4,2,8,1,6,5,7,3]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[3,6,4,1,7,2,8,5]=>[6,8,4,3,5,1,7,2]=>[2,7,1,5,3,4,8,6]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]
[6,5,4,3,2,8,1,9,7]=>[7,5,4,3,2,9,1,8,6]=>[6,8,1,9,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],[.,.]]]
[7,8,9,3,2,1,4,5,10,6]=>[10,8,7,6,5,4,3,2,9,1]=>[1,9,2,3,4,5,6,7,8,10]=>[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]]
[5,2,6,3,7,8,4,1]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[2,4,1,3,7,8,6,5]=>[3,4,1,2,8,7,6,5]=>[5,6,7,8,2,1,4,3]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]
[2,6,1,5,7,8,4,3]=>[3,8,1,7,5,6,4,2]=>[2,4,6,5,7,1,8,3]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[5,1,6,4,7,8,2,3]=>[8,2,7,4,5,6,3,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[8,4,6,3,7,5,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,7,6,8,2,3,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,7,4,8,1,2,6,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,6,7,5,8,1,4,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,7,5,6,8,2,4,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,7,1,6,8,4,5,3]=>[3,8,1,7,6,5,4,2]=>[2,4,5,6,7,1,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,5,4,7,2,6,3,8]=>[1,7,5,6,3,4,2,8]=>[8,2,4,3,6,5,7,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[2,4,5,8,3,1,7,6]=>[6,5,3,8,2,1,7,4]=>[4,7,1,2,8,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[1,4,7,5,8,3,6,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,6,8,7,3,5,1,4]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[4,7,8,6,2,5,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,7,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,7,6,3,5,4,2,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[4,3,8,1,6,5,7,2]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[1,3,6,2,5,8,7,4]=>[1,4,8,2,5,7,6,3]=>[3,6,7,5,2,8,4,1]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]
[5,8,7,1,4,6,3,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,2,5,1,3,4,8,7]=>[6,4,5,2,3,1,8,7]=>[7,8,1,3,2,5,4,6]=>[[.,[[.,.],[[.,.],[.,.]]]],[.,.]]
[2,6,5,1,3,4,8,7]=>[4,6,5,1,3,2,8,7]=>[7,8,2,3,1,5,6,4]=>[[[.,.],[.,[[.,.],[.,.]]]],[.,.]]
[4,6,5,1,2,7,3,8]=>[7,5,4,3,2,6,1,8]=>[8,1,6,2,3,4,5,7]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[5,6,4,1,2,7,3,8]=>[7,5,4,3,2,6,1,8]=>[8,1,6,2,3,4,5,7]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[8,1,5,6,2,4,3,7]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,4,5,1,2,7,3,8]=>[7,5,4,3,2,6,1,8]=>[8,1,6,2,3,4,5,7]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[5,4,6,1,3,2,7,8]=>[6,5,4,3,2,1,7,8]=>[8,7,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[2,6,4,1,3,7,5,8]=>[4,7,5,1,3,6,2,8]=>[8,2,6,3,1,5,7,4]=>[[[.,.],[[.,[[.,.],.]],[.,.]]],.]
[7,8,5,3,2,1,6,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,2,6,7,8,4,5,3]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[6,1,4,8,2,7,5,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,2,3,7,1,8,4,6]=>[7,5,3,8,2,6,1,4]=>[4,1,6,2,8,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[7,2,3,1,8,4,6,5]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[5,4,1,7,3,2,8,6]=>[6,5,3,8,2,1,7,4]=>[4,7,1,2,8,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[7,3,4,5,1,8,6,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[1,5,6,7,4,8,2,3]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[6,3,2,5,7,4,8,1]=>[8,6,3,4,5,2,7,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[5,7,3,8,1,2,4,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[4,5,2,7,6,3,1,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[2,6,7,8,3,1,4,5]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[6,3,2,5,1,7,8,4]=>[8,5,3,4,2,6,7,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]
[4,6,3,7,8,2,1,5]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[5,6,7,1,8,4,2,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,7,8,4,6,5,2,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,7,1,2,8,6,5,4]=>[4,8,3,1,7,6,5,2]=>[2,5,6,7,1,3,8,4]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[2,7,8,1,6,5,3,4]=>[4,8,7,1,6,5,3,2]=>[2,3,5,6,1,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[2,5,8,1,7,6,3,4]=>[4,8,7,1,6,5,3,2]=>[2,3,5,6,1,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[8,1,5,7,3,4,6,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,8,2,7,6,3,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,8,4,7,6,3,1,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[1,8,2,4,7,6,3,5]=>[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[4,5,8,7,1,6,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,8,2,4,6,7,5,3]=>[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[2,5,1,8,4,7,6,3]=>[3,8,1,7,5,6,4,2]=>[2,4,6,5,7,1,8,3]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[3,4,2,8,1,7,6,5]=>[5,3,2,8,1,7,6,4]=>[4,6,7,1,8,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[2,4,5,8,1,7,6,3]=>[5,8,3,7,1,6,4,2]=>[2,4,6,1,7,3,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[3,1,8,2,6,7,5,4]=>[4,2,8,1,7,6,5,3]=>[3,5,6,7,1,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[2,6,8,1,4,3,7,5]=>[4,8,7,1,6,5,3,2]=>[2,3,5,6,1,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,6,5,2,8,7,3,4]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[2,6,1,5,8,7,3,4]=>[3,8,1,7,6,5,4,2]=>[2,4,5,6,7,1,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[8,1,7,3,5,2,4,6]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,3,2,7,6,4,5]=>[8,2,4,3,7,6,5,1]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[7,3,4,8,6,2,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,5,8,1,6,2,3,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,8,4,5,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,5,3,2,8,4,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,2,5,3,8,1,4,7]=>[7,6,4,3,8,2,1,5]=>[5,1,2,8,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[7,6,1,3,5,2,4,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[6,2,4,5,3,8,1,7]=>[7,5,4,3,2,8,1,6]=>[6,1,8,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[6,1,5,4,7,2,3,8]=>[7,2,6,4,5,3,1,8]=>[8,1,3,5,4,6,2,7]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[6,8,5,4,7,1,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,6,8,4,2,5,7,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,8,1,3,4,2,6]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,4,2,8,3,5,7,6]=>[1,5,3,8,2,6,7,4]=>[4,7,6,2,8,3,5,1]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[1,3,5,4,8,7,2,6]=>[1,7,4,3,8,6,2,5]=>[5,2,6,8,3,4,7,1]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]
[1,6,2,4,8,3,7,5]=>[1,8,3,6,7,4,5,2]=>[2,5,4,7,6,3,8,1]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[1,7,8,5,4,2,6,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,5,2,8,6,4,7,3]=>[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,6,5,2,7,4,8,3]=>[1,8,6,4,5,3,7,2]=>[2,7,3,5,4,6,8,1]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[5,1,6,7,4,2,8,3]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[6,8,1,5,2,3,7,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,8,5,4,6,2,7,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,8,4,1,6,2,7,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,4,5,1,7,2,8,3]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[4,8,1,3,7,6,2,5]=>[7,8,3,4,6,5,1,2]=>[2,1,5,6,4,3,8,7]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]
[4,5,3,1,2,8,7,6]=>[5,4,3,2,1,8,7,6]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[6,4,2,3,1,8,7,5]=>[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[6,5,2,1,3,8,7,4]=>[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[7,6,1,8,2,5,3,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,4,2,3,7,6,1,5]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[5,7,8,1,2,4,3,6]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[1,7,6,8,3,5,4,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,6,4,2,1,3,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,5,7,4,1,3,2,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,6,1,8,3,5,2,7]=>[7,6,3,8,5,2,1,4]=>[4,1,2,5,8,3,6,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[7,1,6,8,2,5,4,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,7,1,8,3,2,5,6]=>[6,8,3,7,5,1,4,2]=>[2,4,1,5,7,3,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[4,8,3,6,1,5,2,7]=>[7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[1,7,8,6,4,5,3,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,2,8,6,4,5,1,7]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[8,4,3,6,2,5,1,7]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[1,6,8,7,4,3,5,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,1,2,6,8,7,5,4]=>[3,2,1,8,7,6,5,4]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[5,7,4,2,1,8,6,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,6,5,7,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,4,6,1,8,5,3,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,4,6,3,8,1,5,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,4,8,1,6,3,2,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,4,8,3,6,2,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,4,8,2,3,5,7,1]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[4,6,8,2,5,7,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,4,8,2,5,7,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,2,4,5,8,3,7,1]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[6,8,2,4,7,3,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,6,2,7,1,3,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,4,2,7,1,3,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,2,4,1,7,3,5]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[7,5,1,6,2,4,8,3]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[4,2,5,7,1,6,8,3]=>[8,5,3,6,2,4,7,1]=>[1,7,4,2,6,3,5,8]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[2,4,8,5,6,7,3,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,2,3,7,6,1,4,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[4,2,3,7,6,1,5,8]=>[6,3,2,7,5,1,4,8]=>[8,4,1,5,7,2,3,6]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[4,2,7,3,5,1,6,8]=>[6,4,7,2,5,1,3,8]=>[8,3,1,5,2,7,4,6]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[5,6,2,3,8,4,7,1]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[5,6,2,3,1,7,8,4]=>[8,5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[5,7,2,3,4,1,6,8]=>[6,7,5,4,3,1,2,8]=>[8,2,1,3,4,5,7,6]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[6,2,7,3,5,1,4,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,2,6,3,5,1,4,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,5,2,3,1,7,8,4]=>[8,5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[6,5,2,3,8,4,7,1]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[7,5,2,1,4,6,8,3]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[8,5,2,3,1,6,4,7]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,6,2,3,1,5,4,7]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,2,6,3,1,7,4,5]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[1,6,3,4,2,7,5,8]=>[1,7,5,4,3,6,2,8]=>[8,2,6,3,4,5,7,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[8,5,2,7,3,4,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,7,2,4,5,6,8,3]=>[1,8,3,6,5,4,7,2]=>[2,7,4,5,6,3,8,1]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[7,2,8,1,4,6,3,5]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[2,7,8,1,5,6,3,4]=>[4,8,7,1,6,5,3,2]=>[2,3,5,6,1,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[6,8,2,3,1,5,4,7]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[5,8,2,3,1,6,4,7]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[5,7,2,1,4,6,8,3]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[4,2,7,1,5,6,8,3]=>[8,4,6,2,5,3,7,1]=>[1,7,3,5,2,6,4,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[4,2,3,8,1,7,5,6]=>[5,3,2,8,1,7,6,4]=>[4,6,7,1,8,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[4,2,1,5,3,7,6,8]=>[5,3,2,4,1,7,6,8]=>[8,6,7,1,4,2,3,5]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[5,1,3,8,4,6,7,2]=>[8,2,5,7,3,6,4,1]=>[1,4,6,3,7,5,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[5,1,3,4,2,7,6,8]=>[5,2,4,3,1,7,6,8]=>[8,6,7,1,3,4,2,5]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[6,1,3,4,2,7,5,8]=>[7,2,5,4,3,6,1,8]=>[8,1,6,3,4,5,2,7]=>[[.,[[[.,.],[.,[.,.]]],[.,.]]],.]
[7,2,1,3,5,8,4,6]=>[8,3,2,4,7,6,5,1]=>[1,5,6,7,4,2,3,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[6,8,7,2,3,4,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[10,9,11,8,7,6,5,4,3,2,1]=>[11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]
[1,9,8,10,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[2,8,7,9,6,5,4,3,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[3,7,2,8,1,4,5,6]=>[5,8,3,7,1,6,4,2]=>[2,4,6,1,7,3,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[5,2,3,7,4,6,1,8]=>[7,5,3,6,2,4,1,8]=>[8,1,4,2,6,3,5,7]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[2,5,3,7,4,6,1,8]=>[7,5,3,6,2,4,1,8]=>[8,1,4,2,6,3,5,7]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[2,6,7,3,4,5,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,2,7,3,4,5,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[3,8,4,5,2,1,6,7]=>[6,8,5,4,3,1,7,2]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[2,7,6,3,4,5,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[2,8,7,5,1,3,4,6]=>[5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[4,5,7,2,8,3,6,1]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[9,7,5,3,1,8,6,4,2]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,6,3,8,5,2,7,4,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[8,5,2,9,6,3,7,4,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,4,7,2,5,8,3,6,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,2,7,4,5,6,3,8,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[10,8,6,4,2,9,7,5,3,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,6,2,7,3,8,4,9,5,1]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[10,5,8,3,6,1,9,4,7,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,4,7,2,10,5,8,3,6,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,5,7,2,8,3,9,4,6,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,3,10,5,7,2,9,4,6,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,4,6,8,2,9,3,5,7,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[5,6,10,4,8,2,9,3,7,1]=>[10,8,9,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,9,8,10]=>[.,[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]]]
[5,2,1,3,6,7,8,4]=>[8,3,2,4,5,6,7,1]=>[1,7,6,5,4,2,3,8]=>[.,[[[[[.,[.,.]],.],.],.],[.,.]]]
[1,6,5,7,2,8,3,4]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[7,5,2,6,1,8,4,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,1,5,2,7,8,4,3]=>[8,2,7,4,5,6,3,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[1,6,5,7,2,8,4,3]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,5,6,4,8,2,3,7]=>[1,7,6,4,8,3,2,5]=>[5,2,3,8,4,6,7,1]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]
[6,2,1,5,8,4,7,3]=>[8,3,2,6,7,4,5,1]=>[1,5,4,7,6,2,3,8]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]
[7,5,6,8,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,3,7,5,1,4,2,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,1,5,7,3,6,2,4]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,3,2,6,4,5,1,7]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,5,3,7,4,1,2,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,6,2,7,1,3,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,7,2,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,7,3,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,1,2,3,6,4,7,5]=>[8,2,3,4,7,6,5,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[7,6,2,3,5,8,1,4]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,5,3,7,8,1,6,2]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[3,4,2,8,1,6,7,5]=>[5,3,2,8,1,7,6,4]=>[4,6,7,1,8,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[8,3,4,1,5,7,6,2]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[4,3,7,5,1,6,2,8]=>[7,5,6,4,2,3,1,8]=>[8,1,3,2,4,6,5,7]=>[[.,[[.,.],[.,[[.,.],[.,.]]]]],.]
[5,2,6,1,4,3,7,8]=>[6,4,5,2,3,1,7,8]=>[8,7,1,3,2,5,4,6]=>[[[.,[[.,.],[[.,.],[.,.]]]],.],.]
[3,5,2,8,6,7,4,1]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,3,7,4,2,8,6,1]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[7,4,8,2,3,5,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,6,2,8,7,1,4,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,6,3,5,2,7,8,1]=>[8,5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[4,1,6,3,5,7,2,8]=>[7,2,5,4,3,6,1,8]=>[8,1,6,3,4,5,2,7]=>[[.,[[[.,.],[.,[.,.]]],[.,.]]],.]
[7,2,5,8,6,1,4,3]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[4,3,6,1,5,7,8,2]=>[8,4,5,2,3,6,7,1]=>[1,7,6,3,2,5,4,8]=>[.,[[[[.,.],[[.,.],.]],.],[.,.]]]
[3,5,4,1,2,6,7,8]=>[5,4,3,2,1,6,7,8]=>[8,7,6,1,2,3,4,5]=>[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]
[4,6,7,1,3,5,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,6,1,3,4,7,2,8]=>[7,5,3,4,2,6,1,8]=>[8,1,6,2,4,3,5,7]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[2,5,3,7,8,4,6,1]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[4,6,2,1,3,7,8,5]=>[5,8,4,3,1,6,7,2]=>[2,7,6,1,3,4,8,5]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[3,6,2,4,1,7,5,8]=>[5,7,3,4,1,6,2,8]=>[8,2,6,1,4,3,7,5]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[3,2,6,7,4,8,5,1]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[7,1,3,8,4,5,2,6]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,1,8,3,4,6,2,5]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,3,2,7,5,8,4,1]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[6,2,7,1,4,5,3,8]=>[7,4,6,2,5,3,1,8]=>[8,1,3,5,2,6,4,7]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[4,2,6,1,5,7,3,8]=>[7,4,5,2,3,6,1,8]=>[8,1,6,3,2,5,4,7]=>[[.,[[[.,.],[[.,.],.]],[.,.]]],.]
[5,4,1,2,6,7,3,8]=>[7,4,3,2,5,6,1,8]=>[8,1,6,5,2,3,4,7]=>[[.,[[[.,[.,[.,.]]],.],[.,.]]],.]
[6,5,2,7,4,1,3,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,5,7,3,1,4,2,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,7,4,3,1,5,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,1,6,7,8,4,5,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,4,5,6,2,1,8,3]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,4,5,2,7,1,8,3]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[3,7,5,6,2,1,8,4]=>[6,8,5,4,3,1,7,2]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[1,7,6,3,8,4,5,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,4,1,2,7,8,3,5]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[6,4,1,3,5,2,7,8]=>[6,5,3,4,2,1,7,8]=>[8,7,1,2,4,3,5,6]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[5,1,8,3,4,6,2,7]=>[7,2,8,5,4,6,1,3]=>[3,1,6,4,5,8,2,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[4,5,8,2,3,7,1,6]=>[7,5,8,4,2,6,1,3]=>[3,1,6,2,4,8,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[7,3,4,8,2,5,1,6]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[6,8,1,5,4,2,3,7]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[4,7,2,5,1,6,8,3]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,5,4,7,2,8,3,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,2,4,6,5,8,1,7]=>[7,2,3,5,4,8,1,6]=>[6,1,8,4,5,3,2,7]=>[[.,[[[.,.],.],[.,.]]],[[.,.],.]]
[3,5,4,8,7,1,6,2]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[7,5,2,1,6,3,4,8]=>[7,6,4,3,5,2,1,8]=>[8,1,2,5,3,4,6,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[6,3,1,7,4,2,5,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[8,7,2,1,5,3,6,4]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[6,8,5,3,7,4,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,2,8,1,5,6,4,3]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,3,6,4,1,5,7,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,5,6,1,4,8,2,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,7,2,6,3,8,4,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,6,4,2,1,8,3,7]=>[7,5,4,3,2,8,1,6]=>[6,1,8,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[6,8,1,3,2,7,5,4]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[5,7,3,6,4,1,2,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,2,4,3,8,1,5,6]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[2,5,4,6,1,3,8,7]=>[5,6,3,4,1,2,8,7]=>[7,8,2,1,4,3,6,5]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]
[5,8,2,6,7,4,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,6,5,3,8,1,4,7]=>[6,7,4,3,8,1,2,5]=>[5,2,1,8,3,4,7,6]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]
[6,1,2,4,3,5,7,8]=>[6,2,3,5,4,1,7,8]=>[8,7,1,4,5,3,2,6]=>[[[.,[[[.,.],.],[.,[.,.]]]],.],.]
[6,5,8,2,7,3,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,7,6,8,4,3,2,5]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,7,6,5,3,8,2,4]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[6,1,2,4,3,5,8,7]=>[6,2,3,5,4,1,8,7]=>[7,8,1,4,5,3,2,6]=>[[.,[[[.,.],.],[.,[.,.]]]],[.,.]]
[4,6,1,3,7,8,5,2]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[8,4,1,5,2,6,7,3]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[1,5,6,3,8,7,2,4]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[5,3,2,6,8,7,1,4]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[6,3,5,2,7,1,4,8]=>[7,6,4,3,5,2,1,8]=>[8,1,2,5,3,4,6,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[8,5,2,6,7,1,4,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,3,8,7,1,4,2,6]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[6,4,5,3,1,8,7,2]=>[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[8,5,1,2,3,6,7,4]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[2,8,6,1,5,4,7,3]=>[4,8,7,1,6,5,3,2]=>[2,3,5,6,1,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[8,3,2,6,1,5,7,4]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[3,8,6,4,7,1,2,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[1,8,7,5,4,3,2,6]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,6,4,7,1,3,2,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,1,4,7,6,2,5,8]=>[6,2,3,7,5,1,4,8]=>[8,4,1,5,7,3,2,6]=>[[[.,[[.,.],.]],[.,[[.,.],.]]],.]
[5,3,4,1,6,2,7,8]=>[6,4,3,2,5,1,7,8]=>[8,7,1,5,2,3,4,6]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[7,3,1,6,5,2,4,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[7,1,5,2,4,6,3,8]=>[7,2,6,4,5,3,1,8]=>[8,1,3,5,4,6,2,7]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[6,1,4,5,2,7,3,8]=>[7,2,5,4,3,6,1,8]=>[8,1,6,3,4,5,2,7]=>[[.,[[[.,.],[.,[.,.]]],[.,.]]],.]
[6,1,5,8,2,7,4,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,1,2,3,6,4,5,8]=>[7,2,3,4,6,5,1,8]=>[8,1,5,6,4,3,2,7]=>[[.,[[[[.,.],.],.],[.,[.,.]]]],.]
[6,3,1,8,5,4,7,2]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[6,1,3,8,7,4,5,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,8,4,6,5,1,7,3]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[7,4,1,3,6,5,2,8]=>[7,6,3,4,5,2,1,8]=>[8,1,2,5,4,3,6,7]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[5,7,2,8,1,3,6,4]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[6,5,1,4,7,3,2,8]=>[7,6,3,4,5,2,1,8]=>[8,1,2,5,4,3,6,7]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[2,7,8,4,1,3,6,5]=>[5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[2,4,6,5,7,8,1,3]=>[7,8,4,3,5,6,1,2]=>[2,1,6,5,3,4,8,7]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]
[2,4,6,7,5,8,1,3]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[2,4,6,3,7,8,1,5]=>[7,4,8,2,5,6,1,3]=>[3,1,6,5,2,8,4,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[2,4,5,6,8,7,1,3]=>[7,8,3,4,6,5,1,2]=>[2,1,5,6,4,3,8,7]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]
[2,4,5,6,8,3,7,1]=>[8,6,3,4,7,2,5,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[2,4,5,6,3,8,1,7]=>[7,5,3,4,2,8,1,6]=>[6,1,8,2,4,3,5,7]=>[[.,[.,[[.,.],[.,.]]]],[[.,.],.]]
[2,3,4,6,8,5,1,7]=>[7,2,3,6,8,4,1,5]=>[5,1,4,8,6,3,2,7]=>[[.,[[[.,.],.],.]],[[.,[.,.]],.]]
[5,2,8,3,4,1,6,7]=>[6,5,8,4,2,1,7,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[3,6,4,1,2,7,8,5]=>[5,8,4,3,1,6,7,2]=>[2,7,6,1,3,4,8,5]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[8,4,1,2,5,3,7,6]=>[8,6,3,4,5,2,7,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[1,5,2,7,6,8,4,3]=>[1,8,3,7,5,6,4,2]=>[2,4,6,5,7,3,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[4,7,6,8,3,1,2,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[4,8,2,7,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,4,2,8,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,5,2,7,1,4,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,5,8,2,7,1,4,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,5,8,2,1,6,4,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,2,1,6,5,8,4,7]=>[3,2,1,7,5,8,4,6]=>[6,4,8,5,7,1,2,3]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]
[2,6,4,8,5,7,3,1]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[6,3,1,4,5,8,2,7]=>[7,5,3,4,2,8,1,6]=>[6,1,8,2,4,3,5,7]=>[[.,[.,[[.,.],[.,.]]]],[[.,.],.]]
[3,4,8,5,2,1,7,6]=>[6,5,8,4,2,1,7,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[5,8,7,4,6,1,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,4,1,8,7,6,2,5]=>[7,3,2,8,6,5,1,4]=>[4,1,5,6,8,2,3,7]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]
[2,8,7,5,4,1,6,3]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[8,1,5,7,4,2,6,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,8,7,3,4,1,6,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,6,1,3,2,8,5,7]=>[5,7,3,4,1,8,2,6]=>[6,2,8,1,4,3,7,5]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]
[2,6,5,8,3,1,4,7]=>[6,7,5,8,3,1,2,4]=>[4,2,1,3,8,5,7,6]=>[[[.,.],[.,.]],[[.,[[.,.],.]],.]]
[6,7,8,2,4,5,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,2,8,4,5,7,1,6]=>[7,2,8,4,5,6,1,3]=>[3,1,6,5,4,8,2,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[8,3,6,4,2,7,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,3,7,5,4,1,2,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,6,4,7,8,5,1,3]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[5,4,3,7,6,1,8,2]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[8,6,3,7,1,4,2,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,1,2,8,7,6,4,5]=>[3,2,1,8,7,6,5,4]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[8,5,4,1,2,3,7,6]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,3,2,1,6,4,7,5]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[2,3,8,4,1,7,5,6]=>[5,2,8,4,1,7,6,3]=>[3,6,7,1,4,8,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[4,6,1,3,2,7,8,5]=>[5,8,3,4,1,6,7,2]=>[2,7,6,1,4,3,8,5]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]
[6,7,2,5,8,4,1,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,1,7,8,2,5,6,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,4,6,7,1,5,8,2]=>[8,5,6,4,2,3,7,1]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[3,4,5,7,8,1,6,2]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[1,8,7,4,3,5,2,6]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,4,5,8,1,3,7,6]=>[5,6,3,8,1,2,7,4]=>[4,7,2,1,8,3,6,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[2,7,8,6,5,3,1,4]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[2,8,3,5,6,1,4,7]=>[6,8,3,7,5,1,4,2]=>[2,4,1,5,7,3,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[1,3,6,4,2,7,5,8]=>[1,5,7,4,2,6,3,8]=>[8,3,6,2,4,7,5,1]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]
[2,3,7,5,8,1,4,6]=>[6,2,8,7,5,1,4,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[3,2,8,5,6,1,4,7]=>[6,2,8,7,5,1,4,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[7,2,5,8,1,4,6,3]=>[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[4,7,5,8,1,2,6,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,7,5,8,1,2,3,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[3,4,7,5,2,8,1,6]=>[7,5,8,4,2,6,1,3]=>[3,1,6,2,4,8,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[4,3,2,5,7,8,1,6]=>[7,3,2,4,8,6,1,5]=>[5,1,6,8,4,2,3,7]=>[[.,[[.,[.,.]],.]],[.,[[.,.],.]]]
[2,5,4,7,3,8,1,6]=>[7,5,3,8,2,6,1,4]=>[4,1,6,2,8,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[3,7,8,4,2,1,6,5]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[5,6,7,9,1,2,3,4,8]=>[8,7,6,9,5,3,2,1,4]=>[4,1,2,3,5,9,6,7,8]=>[[.,[.,[.,.]]],[.,[[.,[.,[.,.]]],.]]]
[4,5,6,7,9,1,2,3,8]=>[8,7,6,4,9,3,2,1,5]=>[5,1,2,3,9,4,6,7,8]=>[[.,[.,[.,[.,.]]]],[[.,[.,[.,.]]],.]]
[8,5,4,7,6,3,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,5,4,8,7,6,2,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,2,4,5,8,1,6,7]=>[6,2,3,4,8,1,7,5]=>[5,7,1,8,4,3,2,6]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]
[3,6,8,4,2,7,1,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[4,8,3,7,6,2,1,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[3,6,5,1,7,2,8,4]=>[6,8,4,3,5,1,7,2]=>[2,7,1,5,3,4,8,6]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]
[7,4,1,6,2,8,5,3]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[1,3,6,8,2,4,7,5]=>[1,5,8,7,2,6,4,3]=>[3,4,6,2,7,8,5,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[1,6,7,4,3,8,2,5]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[7,3,1,6,5,2,8,4]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[8,5,4,1,6,2,7,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,7,2,8,5,1,6,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,6,2,1,5,4,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,2,7,3,5,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,1,3,8,7,5,6,4]=>[2,1,3,8,7,6,5,4]=>[4,5,6,7,8,3,1,2]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]
[8,1,7,3,6,5,2,4]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,6,4,7,3,8,5,2]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,2,3,4,5,6,8,10,7,9]=>[1,2,3,4,5,6,9,10,7,8]=>[8,7,10,9,6,5,4,3,2,1]=>[[[[[[[[.,.],.],.],.],.],.],.],[[.,.],.]]
[4,5,6,7,8,1,2,3,9]=>[8,7,6,4,5,3,2,1,9]=>[9,1,2,3,5,4,6,7,8]=>[[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]],.]
[4,8,1,6,3,7,2,5]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[8,5,4,1,6,3,7,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,7,6,2,4,8,5,3]=>[1,8,7,4,5,6,3,2]=>[2,3,6,5,4,7,8,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[5,7,3,2,4,8,6,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,6,8,5,4,3,1,7]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[2,8,4,6,3,5,1,7]=>[7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[2,7,8,3,6,4,5,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,8,1,4,6,5,2,7]=>[7,8,3,4,6,5,1,2]=>[2,1,5,6,4,3,8,7]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]
[2,7,5,4,1,8,3,6]=>[5,8,7,4,1,6,3,2]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[4,6,1,8,5,3,2,7]=>[7,6,3,8,5,2,1,4]=>[4,1,2,5,8,3,6,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[3,8,5,2,1,6,4,7]=>[5,8,7,4,1,6,3,2]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[5,1,4,8,2,6,3,7]=>[7,2,5,8,3,6,1,4]=>[4,1,6,3,8,5,2,7]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[4,5,8,1,3,7,6,2]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[8,6,7,1,4,3,2,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,4,7,8,6,3,5,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,5,2,6,3,4,7,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,3,6,1,2,7,4,5]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[3,8,6,1,2,5,7,4]=>[5,8,7,4,1,6,3,2]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[3,7,6,2,1,8,5,4]=>[5,8,7,4,1,6,3,2]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[4,3,7,6,1,8,5,2]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[8,6,3,2,7,1,5,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,8,1,5,4,7,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,7,2,5,4,8,1,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,6,2,4,8,5,1,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,6,8,7,3,1,2,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[4,7,5,2,6,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,5,6,2,8,1,4,7]=>[6,7,4,3,8,1,2,5]=>[5,2,1,8,3,4,7,6]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]
[8,9,10,4,5,6,2,3,1,7]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,9,4,5,6,10,2,3,1,7]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[8,9,10,4,5,2,3,6,1,7]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,9,4,5,10,2,3,6,1,7]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,9,10,4,5,6,2,1,3,7]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,9,4,5,6,10,2,1,3,7]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[8,9,10,4,5,2,6,1,3,7]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,9,4,5,10,2,6,1,3,7]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,4,5,9,10,2,6,1,3,7]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,9,10,4,5,2,1,3,6,7]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,9,4,5,10,2,1,3,6,7]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,9,4,5,2,10,1,3,6,7]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[8,9,4,5,2,1,3,6,10,7]=>[10,8,7,6,5,4,3,2,9,1]=>[1,9,2,3,4,5,6,7,8,10]=>[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]]
[8,9,10,4,2,5,6,1,3,7]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,9,4,10,2,5,6,1,3,7]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,4,9,10,2,5,6,1,3,7]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,9,10,4,2,5,1,3,6,7]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,9,4,10,2,5,1,3,6,7]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,9,4,2,5,10,1,3,6,7]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[8,9,4,2,5,1,3,6,10,7]=>[10,8,7,6,5,4,3,2,9,1]=>[1,9,2,3,4,5,6,7,8,10]=>[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]]
[4,8,9,10,2,5,6,1,3,7]=>[9,10,8,7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7,8,10,9]=>[[.,.],[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]
[5,1,2,4,3,7,6,8]=>[5,2,3,4,1,7,6,8]=>[8,6,7,1,4,3,2,5]=>[[[.,[[[.,.],.],[.,.]]],[.,.]],.]
[8,5,2,7,3,6,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,6,2,4,5,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,6,2,4,5,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,4,8,7,1,2,6,3]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[2,5,6,4,3,8,1,7]=>[7,5,4,3,2,8,1,6]=>[6,1,8,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[8,7,3,5,1,4,6,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,3,5,2,1,4,7]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,3,5,2,4,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,2,7,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,6,3,8,5,2,7,1]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[8,7,1,4,5,6,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,1,3,8,5,6,2,7]=>[7,2,3,8,5,6,1,4]=>[4,1,6,5,8,3,2,7]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[5,2,8,3,1,6,7,4]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[1,7,8,6,3,2,5,4]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,7,2,4,5,6,1,8]=>[7,6,3,4,5,2,1,8]=>[8,1,2,5,4,3,6,7]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[3,2,8,1,5,7,4,6]=>[4,2,8,1,7,6,5,3]=>[3,5,6,7,1,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[3,4,6,7,2,1,5,8]=>[6,5,7,4,2,1,3,8]=>[8,3,1,2,4,7,5,6]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[2,6,7,1,4,3,8,5]=>[4,8,6,1,5,3,7,2]=>[2,7,3,5,1,6,8,4]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[5,7,6,2,1,8,3,4]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,2,5,3,8,6,7,1]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[3,2,7,4,8,5,6,1]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,2,5,1,6,3,8,4]=>[8,4,6,2,5,3,7,1]=>[1,7,3,5,2,6,4,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[4,8,9,10,5,6,7,2,3,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[7,8,9,10,2,5,6,3,4,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[5,8,9,10,2,6,7,3,4,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[2,8,9,10,3,6,7,4,5,1]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[5,6,9,10,2,7,8,3,4,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[2,6,9,10,3,7,8,4,5,1]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[7,8,9,10,4,5,6,1,3,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[4,8,9,10,5,6,7,1,3,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[7,8,9,10,3,5,6,1,4,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[5,8,9,10,3,6,7,1,4,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[3,8,9,10,4,6,7,1,5,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[5,6,9,10,3,7,8,1,4,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[3,6,9,10,4,7,8,1,5,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[7,8,9,10,1,5,6,2,4,3]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[5,8,9,10,1,6,7,2,4,3]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[4,8,9,10,1,6,7,2,5,3]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[5,6,9,10,1,7,8,2,4,3]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[4,6,9,10,1,7,8,2,5,3]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[7,8,9,10,3,4,6,1,5,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[6,8,9,10,3,4,7,1,5,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[3,8,9,10,4,5,7,1,6,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[6,7,9,10,3,4,8,1,5,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[3,7,9,10,4,5,8,1,6,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[7,8,9,10,1,4,6,2,5,3]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[6,8,9,10,1,4,7,2,5,3]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[4,8,9,10,1,5,7,2,6,3]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[6,7,9,10,1,4,8,2,5,3]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[4,7,9,10,1,5,8,2,6,3]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[6,7,8,10,3,4,9,1,5,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[3,7,8,10,4,5,9,1,6,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[6,7,8,10,1,4,9,2,5,3]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[4,7,8,10,1,5,9,2,6,3]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[6,3,8,5,4,2,7,1]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[7,4,6,1,3,5,2,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,5,3,8,7,4,6,2]=>[1,8,6,7,5,3,4,2]=>[2,4,3,5,7,6,8,1]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[5,1,3,8,7,4,6,2]=>[8,2,6,7,5,3,4,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[2,5,3,8,7,4,1,6]=>[7,6,3,8,5,2,1,4]=>[4,1,2,5,8,3,6,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[6,8,3,5,1,2,7,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,2,7,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,5,2,8,3,7,1,6]=>[7,5,3,8,2,6,1,4]=>[4,1,6,2,8,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[7,8,5,1,6,4,3,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,7,5,1,6,4,3,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,5,8,3,1,2,7,6]=>[6,5,8,4,2,1,7,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[4,6,8,3,2,1,7,5]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[4,6,8,3,5,1,2,7]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[1,4,6,3,7,5,2,8]=>[1,7,6,4,5,3,2,8]=>[8,2,3,5,4,6,7,1]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[4,5,2,6,8,7,3,1]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[1,7,6,3,8,5,2,4]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,3,8,7,4,5,6,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,1,8,4,5,6,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,2,8,7,4,5,6,1]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,2,4,3,7,5,8,1]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[6,4,2,5,1,7,8,3]=>[8,5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[3,8,2,1,5,7,6,4]=>[4,8,3,1,7,6,5,2]=>[2,5,6,7,1,3,8,4]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[1,3,2,8,7,4,6,5]=>[1,3,2,8,7,6,5,4]=>[4,5,6,7,8,2,3,1]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]
[7,5,2,8,3,1,6,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,4,2,7,3,8,6,1]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[4,6,3,7,8,1,2,5]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[8,3,5,4,7,1,2,6]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,2,5,4,1,7,8,3]=>[8,5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[8,5,1,6,3,2,4,7]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,8,7,4,3,2,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,1,5,4,6,7,3,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,8,5,1,3,7,6,4]=>[4,8,7,1,5,6,3,2]=>[2,3,6,5,1,7,8,4]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[2,4,5,8,3,7,6,1]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[5,6,4,1,8,2,7,3]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[6,4,5,1,3,8,7,2]=>[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[6,1,3,5,4,8,2,7]=>[7,2,5,4,3,8,1,6]=>[6,1,8,3,4,5,2,7]=>[[.,[[.,.],[.,[.,.]]]],[[.,.],.]]
[1,3,8,7,2,5,6,4]=>[1,5,8,7,2,6,4,3]=>[3,4,6,2,7,8,5,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[2,5,4,1,8,3,7,6]=>[4,6,3,1,8,2,7,5]=>[5,7,2,8,1,3,6,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[5,1,4,8,3,7,6,2]=>[8,2,5,7,3,6,4,1]=>[1,4,6,3,7,5,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[8,4,1,2,7,6,5,3]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[4,8,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[1,8,7,3,4,6,5,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,5,3,1,2,4,8,7,9]=>[6,5,4,3,2,1,8,7,9]=>[9,7,8,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]],.]
[8,7,5,3,1,2,4,6,9]=>[8,7,6,5,4,3,2,1,9]=>[9,1,2,3,4,5,6,7,8]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[7,5,3,1,2,4,6,9,8]=>[7,6,5,4,3,2,1,9,8]=>[8,9,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]
[6,5,3,1,2,4,8,7,10,9]=>[6,5,4,3,2,1,8,7,10,9]=>[9,10,7,8,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]],[.,.]]
[8,7,5,3,1,2,4,6,10,9]=>[8,7,6,5,4,3,2,1,10,9]=>[9,10,1,2,3,4,5,6,7,8]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]]
[10,9,7,5,3,1,2,4,6,8]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[5,3,1,2,4,6,8,7]=>[5,4,3,2,1,6,8,7]=>[7,8,6,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]]
[8,5,7,3,1,2,4,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,5,3,1,2,4,6,8,9]=>[7,6,5,4,3,2,1,8,9]=>[9,8,1,2,3,4,5,6,7]=>[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.]
[3,1,2,8,7,5,4,6]=>[3,2,1,8,7,6,5,4]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[5,3,1,2,4,9,7,6,8]=>[5,4,3,2,1,9,8,7,6]=>[6,7,8,9,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,.]]]]
[1,4,3,8,5,7,2,6]=>[1,7,3,8,5,6,2,4]=>[4,2,6,5,8,3,7,1]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[6,7,1,5,2,8,4,3]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[4,8,1,3,6,2,7,5]=>[6,8,3,4,7,1,5,2]=>[2,5,1,7,4,3,8,6]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[2,7,3,4,8,6,5,1]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[1,8,2,4,7,3,6,5]=>[1,8,3,6,7,4,5,2]=>[2,5,4,7,6,3,8,1]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[2,7,1,6,5,8,3,4]=>[3,8,1,7,5,6,4,2]=>[2,4,6,5,7,1,8,3]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[6,2,3,8,1,5,7,4]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[2,5,7,4,8,3,6,1]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[8,5,6,2,4,7,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,5,6,7,1,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,1,5,7,3,6,4,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,3,7,1,2,8,5,6]=>[5,4,8,2,1,7,6,3]=>[3,6,7,1,2,8,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[2,7,6,4,3,8,5,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,8,6,2,7,5,4,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,8,1,6,2,5,3,7]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[1,8,4,2,5,7,3,6]=>[1,8,7,4,5,6,3,2]=>[2,3,6,5,4,7,8,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[5,8,3,1,2,4,6,7]=>[6,8,5,4,3,1,7,2]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[7,1,4,2,6,8,3,5]=>[8,2,7,4,5,6,3,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[1,5,8,7,2,4,3,6]=>[1,7,8,6,5,4,2,3]=>[3,2,4,5,6,8,7,1]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[1,5,4,2,8,3,7,6]=>[1,6,4,3,8,2,7,5]=>[5,7,2,8,3,4,6,1]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[1,2,8,7,3,5,4,6]=>[1,2,8,7,5,6,4,3]=>[3,4,6,5,7,8,2,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[8,7,1,3,2,5,4,6]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[6,7,4,2,8,1,3,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,1,6,8,7,2,3,5]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[4,7,5,6,2,8,3,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,4,3,6,7,5,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,5,2,8,4,3,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,8,4,3,2,7,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,9,8,7,6,5,1,4,3]=>[7,9,8,6,5,4,1,3,2]=>[2,3,1,4,5,6,8,9,7]=>[[.,.],[.,[.,[.,[.,[[.,.],[.,.]]]]]]]
[6,1,7,3,5,8,2,4]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[2,6,4,8,7,3,1,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[2,1,8,7,3,5,4,6]=>[2,1,8,7,5,6,4,3]=>[3,4,6,5,7,8,1,2]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[6,1,5,8,7,4,3,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,1,8,5,7,4,3,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,5,1,4,7,6,3,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,1,3,7,2,4,6,5]=>[8,2,5,7,3,6,4,1]=>[1,4,6,3,7,5,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[2,6,7,3,5,8,4,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,6,7,3,5,8,1,4]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[5,3,1,6,4,8,2,7]=>[7,5,3,4,2,8,1,6]=>[6,1,8,2,4,3,5,7]=>[[.,[.,[[.,.],[.,.]]]],[[.,.],.]]
[2,5,6,7,1,4,8,3]=>[5,8,6,4,1,3,7,2]=>[2,7,3,1,4,6,8,5]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]
[4,7,5,3,2,8,1,6]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[4,7,5,2,8,6,1,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,8,6,7,2,5,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,1,2,7,4,3,6]=>[7,8,3,4,6,5,1,2]=>[2,1,5,6,4,3,8,7]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]
[6,3,1,8,2,4,5,7]=>[7,5,3,8,2,6,1,4]=>[4,1,6,2,8,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[4,6,3,7,8,1,5,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,3,1,8,4,5,2,7]=>[7,6,3,8,5,2,1,4]=>[4,1,2,5,8,3,6,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[2,1,4,7,5,8,6,3]=>[2,1,8,7,5,6,4,3]=>[3,4,6,5,7,8,1,2]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[7,6,2,4,8,3,1,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,5,8,1,4,3,7,2]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[8,1,4,2,7,5,6,3]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,1,8,9,10,2,3,4,5,6]=>[10,2,9,8,7,6,5,4,3,1]=>[1,3,4,5,6,7,8,9,2,10]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[1,8,9,10,11,12,2,3,4,5,6,7]=>[1,12,11,10,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,10,11,12,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]
[8,6,3,5,2,1,7,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,3,1,2,5,4,7]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[5,8,6,4,7,1,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,5,1,8,7,3,4,6]=>[3,7,1,8,6,5,2,4]=>[4,2,5,6,8,1,7,3]=>[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]
[7,2,4,3,8,6,1,5]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[1,7,6,5,4,3,2,9,8]=>[1,7,6,5,4,3,2,9,8]=>[8,9,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[6,8,4,3,5,1,7,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,4,7,3,6,8,2,5]=>[1,7,8,4,5,6,2,3]=>[3,2,6,5,4,8,7,1]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]
[3,7,1,4,6,8,2,5]=>[7,8,3,4,5,6,1,2]=>[2,1,6,5,4,3,8,7]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]
[2,4,7,3,6,8,1,5]=>[7,4,8,2,5,6,1,3]=>[3,1,6,5,2,8,4,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[8,5,7,6,1,3,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,7,5,6,1,8,4,3]=>[5,8,7,4,1,6,3,2]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[6,5,2,8,7,1,4,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,2,3,6,8,1,4,5]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[2,6,1,3,8,5,4,7]=>[3,7,1,4,8,6,2,5]=>[5,2,6,8,4,1,7,3]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]
[6,4,1,8,3,2,5,7]=>[7,6,3,8,5,2,1,4]=>[4,1,2,5,8,3,6,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[5,8,1,4,2,7,3,6]=>[7,8,3,5,4,6,1,2]=>[2,1,6,4,5,3,8,7]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[2,3,1,6,8,7,4,5]=>[3,2,1,8,7,6,5,4]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[6,4,8,2,1,7,3,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,3,1,8,7,5,6,4]=>[3,2,1,8,7,6,5,4]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[1,5,6,7,2,4,3,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[6,8,3,7,1,2,5,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,8,6,4,1,5,3,7]=>[5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[1,5,7,3,6,2,4,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[6,7,4,5,1,3,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[1,6,5,3,8,2,4,7]=>[1,7,6,4,8,3,2,5]=>[5,2,3,8,4,6,7,1]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]
[5,6,1,2,4,8,3,7]=>[7,5,3,4,2,8,1,6]=>[6,1,8,2,4,3,5,7]=>[[.,[.,[[.,.],[.,.]]]],[[.,.],.]]
[8,7,4,5,1,3,2,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,1,2,7,4,3,6]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[4,1,8,7,2,5,3,6]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[2,6,3,8,4,1,7,5]=>[6,8,3,7,5,1,4,2]=>[2,4,1,5,7,3,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[3,2,4,6,1,8,7,5]=>[5,2,3,8,1,7,6,4]=>[4,6,7,1,8,3,2,5]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]
[3,6,7,4,1,2,5,8]=>[6,7,5,4,3,1,2,8]=>[8,2,1,3,4,5,7,6]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[1,4,7,5,8,2,3,6]=>[1,7,8,6,5,4,2,3]=>[3,2,4,5,6,8,7,1]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[1,6,8,4,7,3,2,5]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,6,7,5,4,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,5,7,2,6,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[2,1,5,7,4,6,8,3]=>[2,1,8,6,5,4,7,3]=>[3,7,4,5,6,8,1,2]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[2,3,5,7,8,1,6,4]=>[6,2,8,7,5,1,4,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[2,4,7,5,3,6,8,1]=>[8,5,6,4,2,3,7,1]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[8,1,7,2,4,6,3,5]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[1,2,4,7,8,6,3,5]=>[1,2,7,8,6,5,3,4]=>[4,3,5,6,8,7,2,1]=>[[[[.,.],.],.],[.,[.,[[.,.],.]]]]
[2,4,7,8,3,5,1,6]=>[7,5,8,6,2,4,1,3]=>[3,1,4,2,6,8,5,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[1,3,6,2,5,8,4,7]=>[1,4,7,2,5,8,3,6]=>[6,3,8,5,2,7,4,1]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]
[1,5,3,6,8,2,4,7]=>[1,7,6,4,8,3,2,5]=>[5,2,3,8,4,6,7,1]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]
[4,8,1,2,6,3,7,5]=>[6,8,3,4,7,1,5,2]=>[2,5,1,7,4,3,8,6]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[5,8,1,2,6,3,7,4]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[1,6,2,3,7,5,8,4]=>[1,8,3,4,6,5,7,2]=>[2,7,5,6,4,3,8,1]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]
[4,1,2,6,5,7,8,3]=>[8,2,3,5,4,6,7,1]=>[1,7,6,4,5,3,2,8]=>[.,[[[[[.,.],.],[.,.]],.],[.,.]]]
[1,7,5,2,3,8,6,4]=>[1,8,7,4,5,6,3,2]=>[2,3,6,5,4,7,8,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[8,1,4,7,3,5,2,6]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,4,3,6,1,7,2,5]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[2,6,1,8,3,7,4,5]=>[3,8,1,7,5,6,4,2]=>[2,4,6,5,7,1,8,3]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[8,4,2,1,3,7,5,6]=>[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[2,5,1,7,6,8,3,4]=>[3,8,1,7,5,6,4,2]=>[2,4,6,5,7,1,8,3]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[5,3,1,8,2,4,7,6]=>[6,5,3,8,2,1,7,4]=>[4,7,1,2,8,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[2,8,5,7,3,1,4,6]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[2,6,8,7,3,1,4,5]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[7,4,2,1,3,8,5,6]=>[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[7,2,1,3,8,5,4,6]=>[8,3,2,4,7,6,5,1]=>[1,5,6,7,4,2,3,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[1,4,2,7,6,5,8,3]=>[1,8,3,6,5,4,7,2]=>[2,7,4,5,6,3,8,1]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[5,7,6,2,3,8,1,4]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,5,7,6,2,8,1,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,1,8,7,5,2,6,4]=>[6,2,8,7,5,1,4,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[4,5,6,8,7,2,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,8,4,1,5,2,7,6]=>[6,8,4,3,5,1,7,2]=>[2,7,1,5,3,4,8,6]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]
[5,1,7,8,3,2,6,4]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,8,6,2,4,3,7,5]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[4,8,3,1,6,2,7,5]=>[6,8,4,3,7,1,5,2]=>[2,5,1,7,3,4,8,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[2,8,3,1,6,4,7,5]=>[4,8,3,1,7,6,5,2]=>[2,5,6,7,1,3,8,4]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[6,2,7,1,5,8,4,3]=>[8,4,7,2,5,6,3,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[1,7,8,9,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,6,7,8,9,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,5,6,7,8,9,4,3,2]=>[1,9,8,7,5,6,4,3,2]=>[2,3,4,6,5,7,8,9,1]=>[[.,.],[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,8,9,10,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[1,7,6,8,9,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,7,8,9,10,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[1,6,5,7,8,9,4,3,2]=>[1,9,8,7,5,6,4,3,2]=>[2,3,4,6,5,7,8,9,1]=>[[.,.],[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,6,7,8,9,10,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[4,8,5,1,3,2,6,7]=>[6,8,5,4,3,1,7,2]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[5,4,3,1,2,7,6,8]=>[5,4,3,2,1,7,6,8]=>[8,6,7,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[4,1,6,5,2,3,7,8]=>[6,2,5,4,3,1,7,8]=>[8,7,1,3,4,5,2,6]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[7,1,5,2,3,6,4,8]=>[7,2,6,4,5,3,1,8]=>[8,1,3,5,4,6,2,7]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[4,1,6,3,7,2,5,8]=>[6,2,7,4,5,1,3,8]=>[8,3,1,5,4,7,2,6]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[4,6,1,2,8,3,7,5]=>[6,8,3,4,7,1,5,2]=>[2,5,1,7,4,3,8,6]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[4,1,3,6,7,2,5,8]=>[6,2,3,7,5,1,4,8]=>[8,4,1,5,7,3,2,6]=>[[[.,[[.,.],.]],[.,[[.,.],.]]],.]
[2,6,5,1,3,4,7,8]=>[4,6,5,1,3,2,7,8]=>[8,7,2,3,1,5,6,4]=>[[[[.,.],[.,[[.,.],[.,.]]]],.],.]
[2,6,7,4,3,1,5,8]=>[6,7,5,4,3,1,2,8]=>[8,2,1,3,4,5,7,6]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[6,5,3,7,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[2,3,6,7,1,5,4,8]=>[5,2,7,6,1,4,3,8]=>[8,3,4,1,6,7,2,5]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[2,7,5,8,1,3,6,4]=>[5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[5,6,1,4,7,2,3,8]=>[7,6,3,4,5,2,1,8]=>[8,1,2,5,4,3,6,7]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[1,2,5,7,8,6,3,4]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,2,6,7,4,5,3,8]=>[1,2,7,6,5,4,3,8]=>[8,3,4,5,6,7,2,1]=>[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]
[1,2,7,8,4,6,3,5]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[8,6,5,2,1,7,4,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,3,8,6,7,1,5,2]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[8,3,2,4,7,1,6,5]=>[8,6,3,4,7,2,5,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[7,3,2,8,6,1,5,4]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[7,5,8,2,6,1,4,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,6,8,2,7,4,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,4,1,2,6,5,8,3]=>[8,6,3,4,5,2,7,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[5,2,7,4,6,1,8,3]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,4,1,2,3,6,8,5]=>[8,5,3,4,2,6,7,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]
[5,4,8,6,3,2,1,7]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[8,4,6,7,3,1,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,6,8,5,1,2,7,3]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[4,1,3,6,8,5,2,7]=>[7,2,3,6,8,4,1,5]=>[5,1,4,8,6,3,2,7]=>[[.,[[[.,.],.],.]],[[.,[.,.]],.]]
[6,3,5,7,1,2,8,4]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[1,6,7,3,4,2,5,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[1,6,8,3,4,2,5,7]=>[1,7,8,6,5,4,2,3]=>[3,2,4,5,6,8,7,1]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[1,8,7,5,3,4,2,6]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,7,8,5,3,4,2,6]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,7,6,8,4,2,3,5]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,7,8,6,4,3,2,5]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[9,8,7,6,5,2,1,3,4]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,8,6,4,7,2,5,1,3]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,7,8,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[5,1,7,8,4,2,3,6]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[3,8,2,1,6,7,5,4]=>[4,8,3,1,7,6,5,2]=>[2,5,6,7,1,3,8,4]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[2,8,3,1,7,5,6,4]=>[4,8,3,1,7,6,5,2]=>[2,5,6,7,1,3,8,4]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[8,5,6,2,1,4,7,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[9,10,6,4,2,1,3,5,8,7]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,7,8,4,2,1,3,6,5,9]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,7,10,4,2,1,3,6,8,5]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,9,10,4,2,1,3,7,6,5]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,8,5,6,2,1,4,3,7,9]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,10,5,6,2,1,4,3,8,7]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,7,5,8,2,1,4,6,3,9]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,7,5,10,2,1,4,6,8,3]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,9,5,10,2,1,4,7,6,3]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,6,7,8,2,1,5,4,3,9]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,6,7,10,2,1,5,4,8,3]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,6,9,10,2,1,5,7,4,3]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[7,8,9,10,2,1,6,5,4,3]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,8,6,3,4,2,1,5,7,9]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,10,6,3,4,2,1,5,8,7]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,7,8,3,4,2,1,6,5,9]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,7,10,3,4,2,1,6,8,5]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,9,10,3,4,2,1,7,6,5]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,8,5,3,6,2,4,1,7,9]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,10,5,3,6,2,4,1,8,7]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,7,5,3,8,2,4,6,1,9]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,7,5,3,10,2,4,6,8,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,9,5,3,10,2,4,7,6,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,6,7,3,8,2,5,4,1,9]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,6,7,3,10,2,5,4,8,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,6,9,3,10,2,5,7,4,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[7,8,9,3,10,2,6,5,4,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,8,4,5,6,3,2,1,7,9]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,10,4,5,6,3,2,1,8,7]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,7,4,5,8,3,2,6,1,9]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,7,4,5,10,3,2,6,8,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,9,4,5,10,3,2,7,6,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,6,4,7,8,3,5,2,1,9]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,6,4,7,10,3,5,2,8,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,6,4,9,10,3,5,7,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[7,8,4,9,10,3,6,5,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,5,6,7,8,4,3,2,1,9]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,5,6,7,10,4,3,2,8,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,5,6,9,10,4,3,7,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[7,5,8,9,10,4,6,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[12,10,8,6,4,2,1,3,5,7,9,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,8,6,4,2,1,3,5,7,10,9]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,9,10,6,4,2,1,3,5,8,7,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,9,12,6,4,2,1,3,5,8,10,7]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[10,11,12,6,4,2,1,3,5,9,8,7]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,10,7,8,4,2,1,3,6,5,9,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,7,8,4,2,1,3,6,5,10,9]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,9,7,10,4,2,1,3,6,8,5,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,9,7,12,4,2,1,3,6,8,10,5]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[10,11,7,12,4,2,1,3,6,9,8,5]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,8,9,10,4,2,1,3,7,6,5,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,8,9,12,4,2,1,3,7,6,10,5]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[10,8,11,12,4,2,1,3,7,9,6,5]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[9,10,11,12,4,2,1,3,8,7,6,5]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,10,8,5,6,2,1,4,3,7,9,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,8,5,6,2,1,4,3,7,10,9]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,9,10,5,6,2,1,4,3,8,7,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,9,12,5,6,2,1,4,3,8,10,7]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[10,11,12,5,6,2,1,4,3,9,8,7]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,10,7,5,8,2,1,4,6,3,9,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,7,5,8,2,1,4,6,3,10,9]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,9,7,5,10,2,1,4,6,8,3,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,9,7,5,12,2,1,4,6,8,10,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[10,11,7,5,12,2,1,4,6,9,8,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,8,9,5,10,2,1,4,7,6,3,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,8,9,5,12,2,1,4,7,6,10,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[10,8,11,5,12,2,1,4,7,9,6,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[9,10,11,5,12,2,1,4,8,7,6,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,10,6,7,8,2,1,5,4,3,9,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,6,7,8,2,1,5,4,3,10,9]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,9,6,7,10,2,1,5,4,8,3,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,9,6,7,12,2,1,5,4,8,10,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[10,11,6,7,12,2,1,5,4,9,8,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,8,6,9,10,2,1,5,7,4,3,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,8,6,9,12,2,1,5,7,4,10,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[10,8,6,11,12,2,1,5,7,9,4,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[9,10,6,11,12,2,1,5,8,7,4,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,7,8,9,10,2,1,6,5,4,3,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,7,8,9,12,2,1,6,5,4,10,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[10,7,8,11,12,2,1,6,5,9,4,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[9,7,10,11,12,2,1,6,8,5,4,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[8,9,10,11,12,2,1,7,6,5,4,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,10,8,6,3,4,2,1,5,7,9,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,8,6,3,4,2,1,5,7,10,9]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,9,10,6,3,4,2,1,5,8,7,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,9,12,6,3,4,2,1,5,8,10,7]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[10,11,12,6,3,4,2,1,5,9,8,7]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,10,7,8,3,4,2,1,6,5,9,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,7,8,3,4,2,1,6,5,10,9]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,9,7,10,3,4,2,1,6,8,5,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,9,7,12,3,4,2,1,6,8,10,5]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[10,11,7,12,3,4,2,1,6,9,8,5]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,8,9,10,3,4,2,1,7,6,5,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,8,9,12,3,4,2,1,7,6,10,5]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[10,8,11,12,3,4,2,1,7,9,6,5]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[9,10,11,12,3,4,2,1,8,7,6,5]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,10,8,5,3,6,2,4,1,7,9,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,8,5,3,6,2,4,1,7,10,9]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,9,10,5,3,6,2,4,1,8,7,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,9,12,5,3,6,2,4,1,8,10,7]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[10,11,12,5,3,6,2,4,1,9,8,7]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,10,7,5,3,8,2,4,6,1,9,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,7,5,3,8,2,4,6,1,10,9]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,9,7,5,3,10,2,4,6,8,1,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,9,7,5,3,12,2,4,6,8,10,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[10,11,7,5,3,12,2,4,6,9,8,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,8,9,5,3,10,2,4,7,6,1,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,8,9,5,3,12,2,4,7,6,10,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[10,8,11,5,3,12,2,4,7,9,6,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[9,10,11,5,3,12,2,4,8,7,6,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,10,6,7,3,8,2,5,4,1,9,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,6,7,3,8,2,5,4,1,10,9]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,9,6,7,3,10,2,5,4,8,1,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,9,6,7,3,12,2,5,4,8,10,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[10,11,6,7,3,12,2,5,4,9,8,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,8,6,9,3,10,2,5,7,4,1,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,8,6,9,3,12,2,5,7,4,10,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[10,8,6,11,3,12,2,5,7,9,4,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[9,10,6,11,3,12,2,5,8,7,4,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,7,8,9,3,10,2,6,5,4,1,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,7,8,9,3,12,2,6,5,4,10,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[10,7,8,11,3,12,2,6,5,9,4,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[9,7,10,11,3,12,2,6,8,5,4,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[8,9,10,11,3,12,2,7,6,5,4,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,10,8,4,5,6,3,2,1,7,9,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,8,4,5,6,3,2,1,7,10,9]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,9,10,4,5,6,3,2,1,8,7,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,9,12,4,5,6,3,2,1,8,10,7]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[10,11,12,4,5,6,3,2,1,9,8,7]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,10,7,4,5,8,3,2,6,1,9,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,7,4,5,8,3,2,6,1,10,9]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,9,7,4,5,10,3,2,6,8,1,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,9,7,4,5,12,3,2,6,8,10,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[10,11,7,4,5,12,3,2,6,9,8,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,8,9,4,5,10,3,2,7,6,1,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,8,9,4,5,12,3,2,7,6,10,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[10,8,11,4,5,12,3,2,7,9,6,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[9,10,11,4,5,12,3,2,8,7,6,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,10,6,4,7,8,3,5,2,1,9,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,6,4,7,8,3,5,2,1,10,9]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,9,6,4,7,10,3,5,2,8,1,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,9,6,4,7,12,3,5,2,8,10,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[10,11,6,4,7,12,3,5,2,9,8,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,8,6,4,9,10,3,5,7,2,1,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,8,6,4,9,12,3,5,7,2,10,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[10,8,6,4,11,12,3,5,7,9,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[9,10,6,4,11,12,3,5,8,7,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,7,8,4,9,10,3,6,5,2,1,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,7,8,4,9,12,3,6,5,2,10,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[10,7,8,4,11,12,3,6,5,9,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[9,7,10,4,11,12,3,6,8,5,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[8,9,10,4,11,12,3,7,6,5,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,10,5,6,7,8,4,3,2,1,9,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,5,6,7,8,4,3,2,1,10,9]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,9,5,6,7,10,4,3,2,8,1,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,9,5,6,7,12,4,3,2,8,10,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[10,11,5,6,7,12,4,3,2,9,8,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,8,5,6,9,10,4,3,7,2,1,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,8,5,6,9,12,4,3,7,2,10,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[10,8,5,6,11,12,4,3,7,9,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[9,10,5,6,11,12,4,3,8,7,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,7,5,8,9,10,4,6,3,2,1,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,7,5,8,9,12,4,6,3,2,10,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[10,7,5,8,11,12,4,6,3,9,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[9,7,5,10,11,12,4,6,8,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[8,9,5,10,11,12,4,7,6,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,6,7,8,9,10,5,4,3,2,1,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,6,7,8,9,12,5,4,3,2,10,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[10,6,7,8,11,12,5,4,3,9,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[9,6,7,10,11,12,5,4,8,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[8,6,9,10,11,12,5,7,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[2,7,4,1,5,8,3,6]=>[4,8,7,1,5,6,3,2]=>[2,3,6,5,1,7,8,4]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[2,1,6,4,7,8,3,5]=>[2,1,8,7,5,6,4,3]=>[3,4,6,5,7,8,1,2]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[5,7,8,3,4,2,1,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[4,7,5,3,8,2,6,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,6,4,7,8,5,3,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,8,4,5,6,1,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,5,1,8,4,6,7,3]=>[3,8,1,7,5,6,4,2]=>[2,4,6,5,7,1,8,3]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[5,2,8,4,6,7,1,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,5,8,3,4,2,1,7]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[1,3,5,8,4,6,7,2]=>[1,8,5,7,3,6,4,2]=>[2,4,6,3,7,5,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[3,4,5,8,2,1,6,7]=>[6,5,3,8,2,1,7,4]=>[4,7,1,2,8,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[8,2,7,6,3,4,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,7,3,2,1,4,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,4,8,2,7,1,5,6]=>[6,4,8,2,7,1,5,3]=>[3,5,1,7,2,8,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[7,2,6,1,4,8,3,5]=>[8,4,7,2,5,6,3,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[7,8,1,2,4,6,3,5]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[7,2,8,3,4,5,1,6]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,1,8,3,4,2,5,7]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[7,5,1,2,4,3,8,6]=>[8,6,3,4,5,2,7,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[7,6,8,1,4,2,3,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,4,3,7,8,5,6,1]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[2,1,7,6,3,4,5,8]=>[2,1,7,6,5,4,3,8]=>[8,3,4,5,6,7,1,2]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[6,3,5,2,1,8,4,7]=>[7,5,4,3,2,8,1,6]=>[6,1,8,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[6,1,5,3,8,2,4,7]=>[7,2,6,4,8,3,1,5]=>[5,1,3,8,4,6,2,7]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]
[2,3,6,8,5,1,7,4]=>[6,2,8,7,5,1,4,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[3,1,2,8,5,4,7,6]=>[3,2,1,8,6,5,7,4]=>[4,7,5,6,8,1,2,3]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[2,1,3,7,8,4,6,5]=>[2,1,3,8,7,6,5,4]=>[4,5,6,7,8,3,1,2]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]
[2,1,3,8,4,7,6,5]=>[2,1,3,8,5,7,6,4]=>[4,6,7,5,8,3,1,2]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]
[3,1,2,8,4,5,7,6]=>[3,2,1,8,5,6,7,4]=>[4,7,6,5,8,1,2,3]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[1,2,8,7,5,4,6,3]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[4,6,7,2,3,8,1,5]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[3,2,6,5,7,8,1,4]=>[7,2,8,4,5,6,1,3]=>[3,1,6,5,4,8,2,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[3,2,7,5,6,8,1,4]=>[7,2,8,5,4,6,1,3]=>[3,1,6,4,5,8,2,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[2,1,8,7,4,6,5,3]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[6,1,5,8,4,7,3,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,4,6,8,5,7,2,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,8,5,1,6,4,3,7]=>[4,8,7,1,6,5,3,2]=>[2,3,5,6,1,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[2,4,7,1,8,3,6,5]=>[4,6,8,1,7,2,5,3]=>[3,5,2,7,1,8,6,4]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[6,1,5,4,2,3,8,7]=>[6,2,5,4,3,1,8,7]=>[7,8,1,3,4,5,2,6]=>[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]
[6,4,5,1,2,8,3,7]=>[7,5,4,3,2,8,1,6]=>[6,1,8,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[8,4,1,5,7,6,3,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,1,6,3,5,2,4,7]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,6,2,5,3,8,1,7]=>[7,5,4,3,2,8,1,6]=>[6,1,8,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[4,6,5,2,1,8,3,7]=>[7,5,4,3,2,8,1,6]=>[6,1,8,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[5,8,4,3,6,7,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,8,2,1,5,3,4,7]=>[7,8,4,3,6,5,1,2]=>[2,1,5,6,3,4,8,7]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]
[2,5,3,8,6,7,4,1]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,2,6,5,1,8,4,7]=>[5,2,7,4,1,8,3,6]=>[6,3,8,1,4,7,2,5]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]
[7,4,5,8,1,6,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,5,8,1,6,7,3,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,1,8,4,6,7,3,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,5,3,8,1,7,2,4]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[8,3,7,1,6,2,4,5]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[8,1,4,6,5,7,2,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,7,5,6,4,2,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,6,1,5,3,7,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,2,3,6,8,1,5,4]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[2,6,3,7,8,1,4,5]=>[6,8,3,7,5,1,4,2]=>[2,4,1,5,7,3,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[6,3,8,7,2,1,5,4]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[7,2,5,6,3,4,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,2,8,6,3,1,5,4]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[7,2,4,5,8,6,3,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,3,8,4,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,2,3,6,8,5,4,1]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,2,8,5,4,1,3,6]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[7,4,5,2,8,1,6,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,5,4,2,8,1,6,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,6,3,2,8,4,5,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,2,3,6,8,4,5,1]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,2,5,4,8,3,6,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,2,8,3,6,1,4,5]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[7,4,5,2,8,3,6,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,3,6,8,2,4,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,2,5,1,7,3,6]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,4,2,5,7,3,8,1]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[5,7,8,4,2,3,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,4,5,2,8,3,7,1]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[6,5,2,4,3,8,7,1]=>[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[6,5,3,4,1,8,2,7]=>[7,5,4,3,2,8,1,6]=>[6,1,8,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[6,4,5,3,8,1,2,7]=>[7,6,4,3,8,2,1,5]=>[5,1,2,8,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[5,6,4,8,3,1,2,7]=>[7,6,5,8,3,2,1,4]=>[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[7,2,4,6,3,8,5,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,8,3,7,6,1,5,4]=>[6,8,3,7,5,1,4,2]=>[2,4,1,5,7,3,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[5,4,2,6,8,7,3,1]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[3,7,2,5,8,6,4,1]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,6,5,3,8,1,7,2]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[2,4,8,7,6,1,5,3]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[3,2,8,7,4,6,5,1]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,2,6,5,1,4,3,7]=>[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[4,8,5,2,7,6,3,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,8,6,5,7,1,3,4]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[3,8,4,7,2,1,6,5]=>[6,8,5,7,3,1,4,2]=>[2,4,1,3,7,5,8,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[4,8,5,1,7,6,3,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,8,1,7,6,2,3,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,4,6,2,5,7,1,8]=>[7,4,5,2,3,6,1,8]=>[8,1,6,3,2,5,4,7]=>[[.,[[[.,.],[[.,.],.]],[.,.]]],.]
[1,7,5,2,6,8,3,4]=>[1,8,7,4,5,6,3,2]=>[2,3,6,5,4,7,8,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[5,1,7,2,4,6,3,8]=>[7,2,6,4,5,3,1,8]=>[8,1,3,5,4,6,2,7]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[6,8,2,1,3,4,7,5]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[5,2,1,7,6,4,3,8]=>[7,3,2,6,5,4,1,8]=>[8,1,4,5,6,2,3,7]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[7,4,8,3,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,4,8,5,1,7,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,2,8,1,3,6,7,4]=>[8,4,7,2,5,6,3,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[6,3,2,7,4,5,8,1]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[7,4,3,8,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,2,1,8,7,4,5,3]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[6,2,1,8,7,3,5,4]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[5,2,1,7,6,3,4,8]=>[7,3,2,6,5,4,1,8]=>[8,1,4,5,6,2,3,7]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[4,2,6,8,5,7,1,3]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[8,6,4,3,2,7,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,5,4,3,8,7,2,6]=>[1,7,4,3,8,6,2,5]=>[5,2,6,8,3,4,7,1]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]
[1,2,5,8,4,3,6,7]=>[1,2,6,8,5,3,7,4]=>[4,7,3,5,8,6,2,1]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]
[10,9,8,6,4,2,1,3,5,7]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,8,7,6,4,2,1,3,5,9]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,7,9,6,4,2,1,3,8,5]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,8,7,6,4,2,1,3,5]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,8,6,5,4,2,1,3,7,9]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,8,6,5,4,2,1,3,7]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,8,5,7,4,2,1,6,3,9]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,5,9,7,4,2,1,6,8,3]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,8,5,7,4,2,1,6,3]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,8,7,6,5,4,2,1,3,9]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,7,9,6,5,4,2,1,8,3]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,6,9,8,5,7,2,1,4,3]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,8,6,4,3,2,1,5,7,9]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,8,6,4,3,2,1,5,7]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,8,7,6,4,3,2,1,5,9]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,7,9,6,4,3,2,1,8,5]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,8,6,3,5,2,4,1,7,9]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,8,6,3,5,2,4,1,7]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,8,3,7,5,2,4,6,1,9]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,3,9,7,5,2,4,6,8,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,8,3,7,5,2,4,6,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,8,7,6,3,5,2,4,1,9]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,7,9,6,3,5,2,4,8,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,3,8,6,5,2,7,4,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,8,7,6,3,5,2,4,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,8,6,5,4,3,2,1,7,9]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,8,5,7,4,3,2,6,1,9]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,5,9,7,4,3,2,6,8,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,8,5,7,4,3,2,6,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,8,4,7,6,3,5,2,1,9]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,4,9,7,6,3,5,2,8,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,4,9,6,8,3,5,7,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,8,4,7,6,3,5,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,7,9,6,5,4,3,2,8,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,6,9,8,5,4,3,7,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,5,9,8,7,4,6,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[12,11,10,8,6,4,2,1,3,5,7,9]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,10,9,8,6,4,2,1,3,5,7,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,9,11,8,6,4,2,1,3,5,10,7]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,11,10,9,8,6,4,2,1,3,5,7]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,10,8,7,6,4,2,1,3,5,9,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,11,10,8,7,6,4,2,1,3,5,9]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,10,7,9,6,4,2,1,3,8,5,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,7,11,9,6,4,2,1,3,8,10,5]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,11,10,7,9,6,4,2,1,3,8,5]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,10,9,8,7,6,4,2,1,3,5,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,9,11,8,7,6,4,2,1,3,10,5]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,8,11,10,7,9,4,2,1,3,6,5]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,11,10,9,8,7,6,4,2,1,3,5]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,10,8,6,5,4,2,1,3,7,9,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,11,10,8,6,5,4,2,1,3,7,9]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,10,9,8,6,5,4,2,1,3,7,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,9,11,8,6,5,4,2,1,3,10,7]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,11,10,9,8,6,5,4,2,1,3,7]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,10,8,5,7,4,2,1,6,3,9,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,11,10,8,5,7,4,2,1,6,3,9]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,10,5,9,7,4,2,1,6,8,3,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,5,11,9,7,4,2,1,6,8,10,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,11,10,5,9,7,4,2,1,6,8,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,10,9,8,5,7,4,2,1,6,3,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,9,11,8,5,7,4,2,1,6,10,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,11,5,10,8,7,4,2,1,9,6,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,11,10,9,8,5,7,4,2,1,6,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,10,8,7,6,5,4,2,1,3,9,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,11,10,8,7,6,5,4,2,1,3,9]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,10,7,9,6,5,4,2,1,8,3,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,7,11,9,6,5,4,2,1,8,10,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,11,10,7,9,6,5,4,2,1,8,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,10,6,9,8,5,7,2,1,4,3,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,6,11,9,8,5,7,2,1,4,10,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,6,11,8,10,5,7,2,1,9,4,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,11,10,6,9,8,5,7,2,1,4,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,10,9,8,7,6,5,4,2,1,3,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,9,11,8,7,6,5,4,2,1,10,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,8,11,10,7,6,5,9,2,1,4,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,7,11,10,9,6,8,5,2,1,4,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,11,10,9,8,7,6,5,4,2,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,10,8,6,4,3,2,1,5,7,9,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,11,10,8,6,4,3,2,1,5,7,9]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,10,9,8,6,4,3,2,1,5,7,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,9,11,8,6,4,3,2,1,5,10,7]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,11,10,9,8,6,4,3,2,1,5,7]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,10,8,7,6,4,3,2,1,5,9,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,11,10,8,7,6,4,3,2,1,5,9]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,10,7,9,6,4,3,2,1,8,5,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,7,11,9,6,4,3,2,1,8,10,5]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,11,10,7,9,6,4,3,2,1,8,5]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,10,9,8,7,6,4,3,2,1,5,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,9,11,8,7,6,4,3,2,1,10,5]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,8,11,10,7,9,4,3,2,1,6,5]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,11,10,9,8,7,6,4,3,2,1,5]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,10,8,6,3,5,2,4,1,7,9,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,11,10,8,6,3,5,2,4,1,7,9]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,10,9,8,6,3,5,2,4,1,7,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,9,11,8,6,3,5,2,4,1,10,7]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,11,10,9,8,6,3,5,2,4,1,7]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,10,8,3,7,5,2,4,6,1,9,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,11,10,8,3,7,5,2,4,6,1,9]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,10,3,9,7,5,2,4,6,8,1,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,3,11,9,7,5,2,4,6,8,10,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,11,10,3,9,7,5,2,4,6,8,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,10,9,8,3,7,5,2,4,6,1,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,9,11,8,3,7,5,2,4,6,10,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,11,3,10,8,7,5,2,4,9,6,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,11,10,9,8,3,7,5,2,4,6,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,10,8,7,6,3,5,2,4,1,9,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,11,10,8,7,6,3,5,2,4,1,9]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,10,7,9,6,3,5,2,4,8,1,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,7,11,9,6,3,5,2,4,8,10,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,11,10,7,9,6,3,5,2,4,8,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,10,9,3,8,6,5,2,7,4,1,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,9,11,3,8,6,5,2,7,4,10,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,11,3,8,10,6,5,2,7,9,4,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,11,10,9,3,8,6,5,2,7,4,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,10,9,8,7,6,3,5,2,4,1,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,9,11,8,7,6,3,5,2,4,10,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,8,11,10,7,6,3,5,2,9,4,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,11,10,3,9,7,6,8,2,5,4,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,11,10,9,8,7,6,3,5,2,4,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,10,8,6,5,4,3,2,1,7,9,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,11,10,8,6,5,4,3,2,1,7,9]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,10,9,8,6,5,4,3,2,1,7,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,9,11,8,6,5,4,3,2,1,10,7]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,11,10,9,8,6,5,4,3,2,1,7]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,10,8,5,7,4,3,2,6,1,9,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,11,10,8,5,7,4,3,2,6,1,9]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,10,5,9,7,4,3,2,6,8,1,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,5,11,9,7,4,3,2,6,8,10,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,11,10,5,9,7,4,3,2,6,8,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,10,9,8,5,7,4,3,2,6,1,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,9,11,8,5,7,4,3,2,6,10,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,11,5,10,8,7,4,3,2,9,6,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,11,10,9,8,5,7,4,3,2,6,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,10,8,4,7,6,3,5,2,1,9,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,11,10,8,4,7,6,3,5,2,1,9]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,10,4,9,7,6,3,5,2,8,1,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,4,11,9,7,6,3,5,2,8,10,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,11,10,4,9,7,6,3,5,2,8,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,10,4,9,6,8,3,5,7,2,1,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,4,11,9,6,8,3,5,7,2,10,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,4,11,6,10,8,3,5,7,9,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,11,10,4,9,6,8,3,5,7,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,10,9,8,4,7,6,3,5,2,1,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,9,11,8,4,7,6,3,5,2,10,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,8,11,10,4,7,6,3,5,9,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,11,4,10,7,9,6,3,8,5,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,11,10,9,8,4,7,6,3,5,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,10,8,7,6,5,4,3,2,1,9,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,11,10,8,7,6,5,4,3,2,1,9]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,10,7,9,6,5,4,3,2,8,1,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,7,11,9,6,5,4,3,2,8,10,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,11,10,7,9,6,5,4,3,2,8,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,10,6,9,8,5,4,3,7,2,1,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,6,11,9,8,5,4,3,7,2,10,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,6,11,8,10,5,4,3,7,9,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,11,10,6,9,8,5,4,3,7,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,10,5,9,8,7,4,6,3,2,1,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,5,11,9,8,7,4,6,3,2,10,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,5,11,8,10,7,4,6,3,9,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,5,11,7,10,9,4,6,8,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,11,10,5,9,8,7,4,6,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,9,11,8,7,6,5,4,3,2,10,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,8,11,10,7,6,5,4,3,9,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,7,11,10,9,6,5,4,8,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,6,11,10,9,8,5,7,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[3,5,6,2,4,7,8,1]=>[8,5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[3,5,6,7,2,4,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,5,7,6,8,2,4,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,5,7,2,6,8,4,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,5,2,7,6,8,4,1]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[3,5,7,4,2,6,8,1]=>[8,5,6,4,2,3,7,1]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[3,5,4,7,2,6,8,1]=>[8,5,3,6,2,4,7,1]=>[1,7,4,2,6,3,5,8]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[3,4,5,7,2,6,8,1]=>[8,5,3,6,2,4,7,1]=>[1,7,4,2,6,3,5,8]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[3,4,5,7,2,8,6,1]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[3,5,4,7,8,2,6,1]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[3,5,4,7,2,8,6,1]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[3,2,5,7,4,8,6,1]=>[8,2,5,7,3,6,4,1]=>[1,4,6,3,7,5,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[3,5,7,4,2,8,6,1]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[3,5,7,8,4,2,6,1]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[2,3,5,7,8,4,6,1]=>[8,2,6,7,5,3,4,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[3,5,2,7,8,6,4,1]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,5,7,8,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,5,7,8,6,2,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,2,5,6,7,3,8,1]=>[8,6,3,4,5,2,7,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[8,6,1,4,3,5,2,7]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,1,8,4,3,5,2,7]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[5,1,6,4,8,2,3,7]=>[7,2,6,4,8,3,1,5]=>[5,1,3,8,4,6,2,7]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]
[8,1,4,2,5,3,6,7]=>[8,2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[2,8,4,1,5,3,6,7]=>[4,8,6,1,5,3,7,2]=>[2,7,3,5,1,6,8,4]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[8,4,1,3,5,2,6,7]=>[8,6,3,4,5,2,7,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[4,1,8,3,5,2,6,7]=>[6,2,8,4,5,1,7,3]=>[3,7,1,5,4,8,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[8,3,1,2,5,4,6,7]=>[8,4,3,2,6,5,7,1]=>[1,7,5,6,2,3,4,8]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[4,2,5,1,8,7,6,3]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[5,2,4,8,1,7,6,3]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[7,3,2,4,6,8,1,5]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[1,4,8,6,7,2,5,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,4,5,7,3,8,2,6]=>[1,7,5,8,3,6,2,4]=>[4,2,6,3,8,5,7,1]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[3,5,6,8,2,1,4,7]=>[6,7,5,8,3,1,2,4]=>[4,2,1,3,8,5,7,6]=>[[[.,.],[.,.]],[[.,[[.,.],.]],.]]
[8,2,5,4,1,3,7,6]=>[8,5,6,4,2,3,7,1]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[2,4,5,8,6,3,1,7]=>[7,6,3,8,5,2,1,4]=>[4,1,2,5,8,3,6,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[5,4,8,2,3,1,7,6]=>[6,5,8,4,2,1,7,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[4,7,5,8,2,3,1,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[4,6,7,5,1,8,3,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[1,7,3,6,5,8,2,4]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[8,3,4,2,6,7,1,5]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[7,5,3,8,6,2,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,3,1,8,2,6,5,4]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[4,6,7,5,2,8,3,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,8,7,2,4,3,1,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[5,1,2,8,6,7,3,4]=>[8,2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[2,5,7,8,6,1,4,3]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[7,2,6,8,4,5,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,1,7,6,8,2,3,4]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,6,7,2,1,5,3,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,7,6,2,4,3,8,5]=>[1,8,6,4,5,3,7,2]=>[2,7,3,5,4,6,8,1]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[7,1,6,2,4,5,3,8]=>[7,2,6,4,5,3,1,8]=>[8,1,3,5,4,6,2,7]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[5,7,1,6,2,3,4,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[6,2,5,8,3,4,1,7]=>[7,6,5,8,3,2,1,4]=>[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[5,6,8,7,1,3,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,5,3,4,8,2,6,7]=>[1,6,4,3,8,2,7,5]=>[5,7,2,8,3,4,6,1]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[2,1,3,6,5,8,4,7]=>[2,1,3,7,5,8,4,6]=>[6,4,8,5,7,3,1,2]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]
[2,8,6,5,7,4,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,8,6,5,7,4,1,3]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[6,5,2,7,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,5,2,8,4,3,7,1]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[7,5,8,3,4,2,1,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,8,5,2,4,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,3,7,2,4,1,8,6]=>[6,5,8,4,2,1,7,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[5,1,2,8,6,3,7,4]=>[8,2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[4,1,8,2,6,5,7,3]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,1,4,7,8,5,3,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,1,5,7,8,4,2,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,6,8,3,7,4,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,6,1,5,7,2,8,3]=>[8,6,3,4,5,2,7,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[2,5,8,4,6,3,7,1]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[4,3,7,1,2,6,8,5]=>[5,4,8,2,1,6,7,3]=>[3,7,6,1,2,8,4,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[8,1,6,5,2,7,4,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,8,1,5,2,7,4,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,5,8,2,3,7,6,1]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[5,6,2,7,4,8,3,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[1,7,3,2,4,8,6,5]=>[1,8,4,3,5,7,6,2]=>[2,6,7,5,3,4,8,1]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]
[4,3,1,8,2,6,7,5]=>[5,3,2,8,1,7,6,4]=>[4,6,7,1,8,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[4,8,1,3,2,5,7,6]=>[5,8,3,4,1,6,7,2]=>[2,7,6,1,4,3,8,5]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]
[1,7,5,3,8,6,2,4]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,5,3,8,1,4,7,6]=>[5,6,3,8,1,2,7,4]=>[4,7,2,1,8,3,6,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[4,2,5,8,1,3,7,6]=>[6,5,3,8,2,1,7,4]=>[4,7,1,2,8,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[8,1,2,4,3,5,7,6]=>[8,2,3,5,4,6,7,1]=>[1,7,6,4,5,3,2,8]=>[.,[[[[[.,.],.],[.,.]],.],[.,.]]]
[2,4,3,8,1,5,7,6]=>[5,3,2,8,1,6,7,4]=>[4,7,6,1,8,2,3,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[3,1,7,4,8,6,5,2]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,4,5,3,2,8,7,1]=>[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[2,7,3,8,5,1,6,4]=>[6,8,3,7,5,1,4,2]=>[2,4,1,5,7,3,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[8,7,3,2,5,6,4,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,1,8,2,6,5,4,7]=>[4,2,8,1,7,6,5,3]=>[3,5,6,7,1,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[7,6,2,8,1,4,5,3]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[2,3,8,4,1,5,7,6]=>[5,2,8,4,1,6,7,3]=>[3,7,6,1,4,8,2,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[8,4,2,3,1,5,7,6]=>[8,5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[8,2,3,4,1,5,7,6]=>[8,5,3,4,2,6,7,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]
[7,1,6,2,4,8,3,5]=>[8,2,7,4,5,6,3,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[2,7,8,1,4,3,6,5]=>[4,8,7,1,6,5,3,2]=>[2,3,5,6,1,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[2,1,8,5,3,4,6,7]=>[2,1,8,6,5,4,7,3]=>[3,7,4,5,6,8,1,2]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[8,4,1,3,2,5,6,7]=>[8,5,3,4,2,6,7,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]
[8,6,1,2,3,5,4,7]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[7,8,1,5,2,4,6,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,8,6,3,1,5,4,7]=>[5,8,7,4,1,6,3,2]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[5,7,2,8,4,1,6,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,5,6,3,8,1,4,7]=>[6,7,4,3,8,1,2,5]=>[5,2,1,8,3,4,7,6]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]
[7,4,5,6,8,1,3,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,6,8,1,4,5,3,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,5,1,8,4,6,3,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,7,8,5,6,4,3,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,8,1,7,4,5,3,6]=>[3,8,1,7,6,5,4,2]=>[2,4,5,6,7,1,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[7,3,6,2,5,4,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[1,8,5,6,4,3,7,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,6,8,4,5,1,7,3]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[4,6,5,7,8,1,3,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,5,8,6,4,7,1,3]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[8,4,1,3,6,7,2,5]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[7,6,2,3,5,1,4,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,2,5,3,4,8,1,7]=>[7,5,4,3,2,8,1,6]=>[6,1,8,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[6,2,5,3,4,8,7,1]=>[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[2,6,5,3,4,8,1,7]=>[7,5,4,3,2,8,1,6]=>[6,1,8,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[5,3,4,8,1,7,2,6]=>[7,5,3,8,2,6,1,4]=>[4,1,6,2,8,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[5,1,3,4,8,7,2,6]=>[7,2,4,3,8,6,1,5]=>[5,1,6,8,3,4,2,7]=>[[.,[[.,.],[.,.]]],[.,[[.,.],.]]]
[1,5,3,4,8,7,2,6]=>[1,7,4,3,8,6,2,5]=>[5,2,6,8,3,4,7,1]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]
[5,1,3,8,4,7,6,2]=>[8,2,5,7,3,6,4,1]=>[1,4,6,3,7,5,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[5,3,8,1,4,7,6,2]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[4,3,5,8,1,7,6,2]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[3,6,5,4,8,1,2,7]=>[7,6,4,3,8,2,1,5]=>[5,1,2,8,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[3,6,5,4,8,2,7,1]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[3,5,2,4,8,7,6,1]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[4,6,2,5,1,7,8,3]=>[8,5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[2,3,6,5,8,4,1,7]=>[7,2,6,4,8,3,1,5]=>[5,1,3,8,4,6,2,7]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]
[2,3,5,1,7,6,4,8]=>[4,2,7,1,6,5,3,8]=>[8,3,5,6,1,7,2,4]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[2,3,1,7,4,8,6,5]=>[3,2,1,8,5,7,6,4]=>[4,6,7,5,8,1,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[2,3,8,7,6,4,1,5]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[7,5,2,3,1,6,4,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,8,3,6,4,2,7,5]=>[1,8,6,7,5,3,4,2]=>[2,4,3,5,7,6,8,1]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[2,1,7,4,8,5,3,6]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[8,1,7,3,2,5,4,6]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[7,8,5,2,6,4,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,2,8,1,3,6,7,5]=>[5,4,8,2,1,7,6,3]=>[3,6,7,1,2,8,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[8,1,2,5,7,4,6,3]=>[8,2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[7,4,6,3,1,2,5,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,4,1,3,7,2,5,8]=>[7,6,3,4,5,2,1,8]=>[8,1,2,5,4,3,6,7]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[8,2,5,3,6,1,4,7]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[3,7,5,1,4,6,2,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,8,7,4,1,5,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,4,7,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,1,2,4,7,8,3,5]=>[8,2,3,7,5,6,4,1]=>[1,4,6,5,7,3,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[2,4,6,5,7,1,8,3]=>[6,8,4,3,5,1,7,2]=>[2,7,1,5,3,4,8,6]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]
[4,2,6,7,8,5,3,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,2,4,7,8,5,3,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,5,2,1,7,8,6,4]=>[4,8,3,1,7,6,5,2]=>[2,5,6,7,1,3,8,4]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[4,2,7,8,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,2,7,8,6,4,5,3]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[4,8,1,2,6,5,3,7]=>[7,8,3,4,6,5,1,2]=>[2,1,5,6,4,3,8,7]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]
[7,1,6,3,2,4,8,5]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[6,4,8,1,2,3,7,5]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[7,4,1,3,6,8,5,2]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[7,1,8,3,2,6,5,4]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[7,2,5,1,6,4,3,8]=>[7,4,6,2,5,3,1,8]=>[8,1,3,5,2,6,4,7]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[5,2,7,1,4,6,3,8]=>[7,4,6,2,5,3,1,8]=>[8,1,3,5,2,6,4,7]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[6,3,8,5,7,1,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,4,3,8,5,7,1,6]=>[7,3,2,8,5,6,1,4]=>[4,1,6,5,8,2,3,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[2,8,3,1,4,6,5,7]=>[4,8,3,1,5,7,6,2]=>[2,6,7,5,1,3,8,4]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]
[4,5,7,6,1,3,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,7,1,6,5,8,2,4]=>[7,8,3,5,4,6,1,2]=>[2,1,6,4,5,3,8,7]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[7,4,3,6,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,8,5,4,7,6,1,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,4,6,8,7,3,5,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,6,5,1,3,8,7,2]=>[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[5,4,6,2,1,8,7,3]=>[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[3,5,4,1,2,8,6,7]=>[5,4,3,2,1,8,7,6]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[5,3,8,1,4,2,6,7]=>[6,5,8,4,2,1,7,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[5,3,8,1,4,2,7,6]=>[6,5,8,4,2,1,7,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[1,4,7,5,8,6,2,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,5,7,6,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,5,2,6,1,4,8,3]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[2,4,5,1,8,3,7,6]=>[4,6,3,1,8,2,7,5]=>[5,7,2,8,1,3,6,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[7,2,8,5,3,4,1,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,4,5,3,1,7,8,2]=>[8,5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[7,3,5,6,4,1,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[1,4,7,6,8,5,2,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,3,1,7,8,9,4,5,6]=>[3,2,1,9,8,7,6,5,4]=>[4,5,6,7,8,9,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,6,7,8,9,3,4,5]=>[2,1,9,8,7,6,5,4,3]=>[3,4,5,6,7,8,9,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,5,6,3,4,1,8,7]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[4,6,2,1,5,8,3,7]=>[7,5,4,3,2,8,1,6]=>[6,1,8,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[4,6,7,2,3,8,5,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,3,5,8,7,4,1,6]=>[7,2,6,8,5,3,1,4]=>[4,1,3,5,8,6,2,7]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]
[2,3,5,8,7,4,6,1]=>[8,2,6,7,5,3,4,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[4,5,3,7,8,1,2,6]=>[7,6,3,8,5,2,1,4]=>[4,1,2,5,8,3,6,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[2,3,5,8,1,6,4,7]=>[5,2,7,8,1,6,3,4]=>[4,3,6,1,8,7,2,5]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]
[1,7,4,5,8,3,6,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,6,1,5,4,2,7,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,8,5,6,3,1,4,7]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[4,8,2,6,1,5,7,3]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[2,3,7,8,1,5,4,6]=>[5,2,8,7,1,6,4,3]=>[3,4,6,1,7,8,2,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[5,2,6,7,8,3,1,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,6,2,7,8,3,1,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,3,7,5,8,4,6,1]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,7,8,5,1,4,6,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,5,6,7,1,8,4,3]=>[5,8,7,4,1,6,3,2]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[8,5,3,6,4,2,1,7]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,3,7,8,5,4,6,1]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,4,7,8,1,2,5,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,5,8,1,2,3,6,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,2,8,7,4,6,5,3]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[5,1,4,8,7,3,6,2]=>[8,2,6,7,5,3,4,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[4,3,1,8,7,5,6,2]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[4,3,2,7,6,1,5,8]=>[6,3,2,7,5,1,4,8]=>[8,4,1,5,7,2,3,6]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[7,2,6,5,3,1,4,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,3,7,6,2,4,8,5]=>[1,5,8,6,2,4,7,3]=>[3,7,4,2,6,8,5,1]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]
[1,3,8,2,7,4,6,5]=>[1,4,8,2,7,6,5,3]=>[3,5,6,7,2,8,4,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[8,2,7,1,6,4,3,5]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[4,3,2,8,1,7,5,6]=>[5,3,2,8,1,7,6,4]=>[4,6,7,1,8,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[7,5,4,1,6,3,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[1,6,5,3,2,4,8,7]=>[1,6,5,4,3,2,8,7]=>[7,8,2,3,4,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]
[1,7,3,5,2,4,8,6]=>[1,8,5,6,3,4,7,2]=>[2,7,4,3,6,5,8,1]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]
[4,3,7,2,5,1,6,8]=>[6,4,7,2,5,1,3,8]=>[8,3,1,5,2,7,4,6]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[7,2,1,3,5,4,6,8]=>[7,3,2,4,6,5,1,8]=>[8,1,5,6,4,2,3,7]=>[[.,[[[.,[.,.]],.],[.,[.,.]]]],.]
[8,3,7,5,4,2,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,6,8,7,5,2,3,4]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,3,6,1,8,5,2,7]=>[7,4,6,2,8,3,1,5]=>[5,1,3,8,2,6,4,7]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]
[1,4,8,7,3,6,2,5]=>[1,7,8,6,5,4,2,3]=>[3,2,4,5,6,8,7,1]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[4,5,7,6,3,1,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,6,7,5,1,3,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,6,5,1,4,7,8,2]=>[8,5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[4,6,7,3,1,5,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,4,1,8,7,3,6,2]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[6,2,4,7,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,2,5,1,8,7,3,4]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[4,2,3,6,7,5,1,8]=>[7,3,2,6,5,4,1,8]=>[8,1,4,5,6,2,3,7]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[6,2,3,5,7,4,1,8]=>[7,6,3,4,5,2,1,8]=>[8,1,2,5,4,3,6,7]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[1,6,3,8,4,7,2,5]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,1,5,2,4,7,3,6]=>[8,2,7,4,5,6,3,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[7,5,8,1,4,2,3,6]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,3,4,8,5,6,2,7]=>[1,7,3,8,5,6,2,4]=>[4,2,6,5,8,3,7,1]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[3,2,7,1,8,6,5,4]=>[4,2,8,1,7,6,5,3]=>[3,5,6,7,1,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[1,3,8,5,6,7,2,4]=>[1,7,8,6,5,4,2,3]=>[3,2,4,5,6,8,7,1]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[6,2,4,1,5,7,8,3]=>[8,4,5,2,3,6,7,1]=>[1,7,6,3,2,5,4,8]=>[.,[[[[.,.],[[.,.],.]],.],[.,.]]]
[5,8,4,1,3,6,7,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,7,2,3,8,1,4,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,2,7,4,8,1,5,6]=>[6,2,8,4,7,1,5,3]=>[3,5,1,7,4,8,2,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[5,2,8,1,7,4,6,3]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[2,5,4,7,3,1,8,6]=>[6,5,3,8,2,1,7,4]=>[4,7,1,2,8,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[4,6,3,1,2,5,7,8]=>[5,6,4,3,1,2,7,8]=>[8,7,2,1,3,4,6,5]=>[[[[.,.],[.,[.,[[.,.],.]]]],.],.]
[7,4,6,8,3,1,2,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,4,7,3,1,2,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,3,2,1,5,4,8,6]=>[8,4,3,2,6,5,7,1]=>[1,7,5,6,2,3,4,8]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[2,5,6,4,8,1,3,7]=>[6,7,4,3,8,1,2,5]=>[5,2,1,8,3,4,7,6]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]
[5,4,1,6,2,3,7,8]=>[6,5,3,4,2,1,7,8]=>[8,7,1,2,4,3,5,6]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[1,3,6,5,2,4,7,8]=>[1,5,6,4,2,3,7,8]=>[8,7,3,2,4,6,5,1]=>[[[[[.,.],.],[.,[[.,.],.]]],.],.]
[6,4,5,1,2,8,7,3]=>[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[5,8,7,3,1,2,4,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[2,7,8,1,4,5,3,6]=>[4,8,7,1,6,5,3,2]=>[2,3,5,6,1,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[6,1,2,4,3,8,7,5]=>[8,2,3,5,4,7,6,1]=>[1,6,7,4,5,3,2,8]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[3,7,8,1,2,4,6,5]=>[5,8,7,4,1,6,3,2]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[7,3,4,1,2,6,8,5]=>[8,5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[8,4,3,1,2,6,5,7]=>[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[3,8,2,7,4,5,1,6]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[8,6,2,3,5,4,1,7]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,2,6,1,3,5,4,7]=>[8,4,7,2,5,6,3,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[8,4,3,7,2,5,6,1]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[8,3,1,7,4,5,2,6]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,2,4,5,1,7,3,6]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[6,8,2,4,5,1,7,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,3,8,1,7,5,6,2]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,4,3,7,1,5,6,2]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[8,3,4,7,2,6,5,1]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[8,1,3,7,6,4,5,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,3,7,1,4,5,6,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,7,3,6,1,2,5,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,3,7,6,2,4,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,2,3,6,1,5,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,2,7,1,3,4,6,5]=>[8,4,7,2,5,6,3,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[8,2,4,7,3,1,6,5]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[8,2,7,6,3,1,4,5]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[6,8,1,4,7,3,2,5]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,5,7,2,6,3,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,2,7,3,1,6,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,1,2,6,7,5,4,3]=>[8,2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[8,4,1,7,5,6,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,2,4,7,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,2,7,6,4,5,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,7,2,3,6,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,2,4,7,3,6,5,1]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[8,1,7,6,4,5,2,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,2,7,6,4,5,3]=>[8,2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[8,1,4,7,3,6,5,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,3,1,9,8,7,6,5,4]=>[3,2,1,9,8,7,6,5,4]=>[4,5,6,7,8,9,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]]
[3,4,2,1,9,8,7,6,5]=>[4,3,2,1,9,8,7,6,5]=>[5,6,7,8,9,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]]
[4,5,3,2,1,9,8,7,6]=>[5,4,3,2,1,9,8,7,6]=>[6,7,8,9,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,.]]]]
[5,6,4,3,2,1,9,8,7]=>[6,5,4,3,2,1,9,8,7]=>[7,8,9,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]]
[6,7,5,4,3,2,1,9,8]=>[7,6,5,4,3,2,1,9,8]=>[8,9,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]
[2,8,1,5,3,7,6,4]=>[3,8,1,7,5,6,4,2]=>[2,4,6,5,7,1,8,3]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,8,2,4,7,5,6,3]=>[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[2,3,8,4,7,1,6,5]=>[6,2,8,4,7,1,5,3]=>[3,5,1,7,4,8,2,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[1,8,2,3,5,6,4,7]=>[1,8,3,4,7,6,5,2]=>[2,5,6,7,4,3,8,1]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[1,7,6,2,3,8,4,5]=>[1,8,7,4,5,6,3,2]=>[2,3,6,5,4,7,8,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[1,8,2,3,7,6,4,5]=>[1,8,3,4,7,6,5,2]=>[2,5,6,7,4,3,8,1]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[1,7,3,8,6,2,5,4]=>[1,8,6,7,5,3,4,2]=>[2,4,3,5,7,6,8,1]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[5,8,2,3,7,4,1,6]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[4,2,8,3,7,6,1,5]=>[7,4,8,2,6,5,1,3]=>[3,1,5,6,2,8,4,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[3,1,7,8,5,2,4,6]=>[6,2,8,7,5,1,4,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[4,6,1,8,2,7,5,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,3,5,2,8,4,7,1]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[5,4,8,6,3,7,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,4,5,8,1,3,7,2]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[6,3,5,1,8,4,7,2]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[2,6,3,1,5,8,4,7]=>[4,7,3,1,5,8,2,6]=>[6,2,8,5,1,3,7,4]=>[[[.,.],[[.,[.,.]],.]],[[.,.],.]]
[2,5,4,8,6,3,1,7]=>[7,6,3,8,5,2,1,4]=>[4,1,2,5,8,3,6,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[2,5,4,8,6,3,7,1]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[1,2,5,4,8,6,3,7]=>[1,2,7,4,8,6,3,5]=>[5,3,6,8,4,7,2,1]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]
[6,4,5,8,2,1,7,3]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[5,3,4,1,2,6,8,7]=>[5,4,3,2,1,6,8,7]=>[7,8,6,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]]
[1,4,3,5,2,8,6,7]=>[1,5,3,4,2,8,7,6]=>[6,7,8,2,4,3,5,1]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]
[1,3,5,4,8,2,6,7]=>[1,6,4,3,8,2,7,5]=>[5,7,2,8,3,4,6,1]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[3,5,4,8,2,6,1,7]=>[7,5,3,8,2,6,1,4]=>[4,1,6,2,8,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[3,6,4,5,1,2,8,7]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[3,5,4,8,1,6,2,7]=>[7,5,3,8,2,6,1,4]=>[4,1,6,2,8,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[3,5,4,8,1,6,7,2]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[2,4,3,1,5,8,6,7]=>[4,3,2,1,5,8,7,6]=>[6,7,8,5,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]]
[1,7,6,2,5,4,8,3]=>[1,8,6,4,5,3,7,2]=>[2,7,3,5,4,6,8,1]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[5,6,1,7,4,3,8,2]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[3,1,5,6,4,2,7,8]=>[6,2,5,4,3,1,7,8]=>[8,7,1,3,4,5,2,6]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[8,3,4,1,6,5,7,2]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[8,1,6,4,3,5,2,7]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,3,7,8,2,6,4,5]=>[1,5,8,7,2,6,4,3]=>[3,4,6,2,7,8,5,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[2,1,6,5,3,8,7,4]=>[2,1,8,5,4,7,6,3]=>[3,6,7,4,5,8,1,2]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[3,7,5,6,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,1,4,3,7,5,8,2]=>[8,2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[3,8,6,4,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,5,8,6,2,3,7,1]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[4,6,8,5,3,7,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,5,7,2,8,6,3,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,7,4,5,1,6,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,6,8,1,2,5,7,3]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[4,6,8,5,1,3,7,2]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[3,7,4,5,2,8,6,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,7,8,4,6,1,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,5,7,2,1,6,8,3]=>[8,5,6,4,2,3,7,1]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[4,5,1,6,8,3,7,2]=>[8,6,3,4,7,2,5,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[8,3,5,4,6,1,2,7]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,1,5,8,4,6,2,7]=>[7,2,5,8,3,6,1,4]=>[4,1,6,3,8,5,2,7]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[8,2,6,3,4,1,5,7]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[4,6,5,8,2,1,3,7]=>[7,6,5,8,3,2,1,4]=>[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[1,4,8,3,5,6,2,7]=>[1,7,8,4,5,6,2,3]=>[3,2,6,5,4,8,7,1]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]
[1,8,7,4,2,3,6,5]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,9,8,1,3,4,2,5]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[4,3,1,8,5,7,2,6]=>[7,3,2,8,5,6,1,4]=>[4,1,6,5,8,2,3,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[7,3,2,4,8,1,6,5]=>[8,6,3,4,7,2,5,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[3,7,2,4,5,8,1,6]=>[7,8,3,4,5,6,1,2]=>[2,1,6,5,4,3,8,7]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]
[3,2,7,4,6,1,8,5]=>[6,2,8,4,5,1,7,3]=>[3,7,1,5,4,8,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[8,3,2,4,6,1,7,5]=>[8,6,3,4,7,2,5,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[8,3,2,4,5,7,1,6]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[7,4,6,2,1,3,8,5]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,6,7,2,4,1,8,5]=>[6,8,5,4,3,1,7,2]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[8,4,7,2,3,5,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,8,6,7,1,5,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,3,2,8,6,1,5,7]=>[6,3,2,8,7,1,5,4]=>[4,5,1,7,8,2,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]
[4,1,6,3,2,5,7,8]=>[5,2,6,4,1,3,7,8]=>[8,7,3,1,4,6,2,5]=>[[[[.,[.,.]],[.,[[.,.],.]]],.],.]
[5,7,1,8,4,3,6,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,4,8,7,6,2,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,6,3,1,5,2,7]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,6,1,5,2,4,7,8]=>[5,6,3,4,1,2,7,8]=>[8,7,2,1,4,3,6,5]=>[[[[.,.],[[.,.],[[.,.],.]]],.],.]
[3,7,6,2,5,4,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,4,5,1,2,7,6,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,2,3,8,7,1,6,4]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[7,5,2,4,1,3,8,6]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,2,6,8,5,1,3,4]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[8,6,5,4,1,3,7,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,4,3,8,1,6,5,2]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[4,7,6,2,5,8,1,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,3,2,4,5,8,1,7]=>[7,5,3,4,2,8,1,6]=>[6,1,8,2,4,3,5,7]=>[[.,[.,[[.,.],[.,.]]]],[[.,.],.]]
[2,6,4,5,8,3,1,7]=>[7,6,4,3,8,2,1,5]=>[5,1,2,8,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[3,7,4,8,6,2,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,3,5,2,8,1,4,6]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[1,5,8,7,4,2,3,6]=>[1,7,8,6,5,4,2,3]=>[3,2,4,5,6,8,7,1]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[1,7,2,4,5,8,6,3]=>[1,8,3,7,5,6,4,2]=>[2,4,6,5,7,3,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,4,6,8,7,2,5,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,7,3,8,4,2,5,6]=>[1,8,6,7,5,3,4,2]=>[2,4,3,5,7,6,8,1]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[1,6,2,4,7,5,8,3]=>[1,8,3,6,5,4,7,2]=>[2,7,4,5,6,3,8,1]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[1,6,2,7,4,3,8,5]=>[1,8,3,6,5,4,7,2]=>[2,7,4,5,6,3,8,1]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[1,5,8,2,3,6,4,7]=>[1,7,8,4,5,6,2,3]=>[3,2,6,5,4,8,7,1]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]
[2,5,3,6,7,1,4,8]=>[6,7,3,4,5,1,2,8]=>[8,2,1,5,4,3,7,6]=>[[[.,.],[[[.,.],.],[[.,.],.]]],.]
[6,4,1,5,7,2,3,8]=>[7,6,3,4,5,2,1,8]=>[8,1,2,5,4,3,6,7]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[6,4,1,5,7,3,8,2]=>[8,6,3,4,5,2,7,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[1,2,7,3,8,5,6,4]=>[1,2,8,4,7,6,5,3]=>[3,5,6,7,4,8,2,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[7,4,1,6,3,8,2,5]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[1,5,7,4,3,8,6,2]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[2,7,3,1,4,5,8,6]=>[4,8,3,1,5,6,7,2]=>[2,7,6,5,1,3,8,4]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]
[6,5,8,3,2,7,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,3,1,7,6,5,2]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[1,2,6,7,5,3,4,8]=>[1,2,7,6,5,4,3,8]=>[8,3,4,5,6,7,2,1]=>[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]
[1,2,6,8,7,4,5,3]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[3,4,5,6,8,2,7,1]=>[8,6,3,4,7,2,5,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[7,2,1,4,5,6,3,8]=>[7,3,2,6,5,4,1,8]=>[8,1,4,5,6,2,3,7]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[1,5,6,7,3,4,2,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[4,6,8,5,2,1,7,3]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[1,6,7,8,2,4,5,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,8,2,1,3,5,6]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[5,7,8,3,2,4,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,7,8,2,3,1,6,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,3,4,2,1,9,8,7,6]=>[5,4,3,2,1,9,8,7,6]=>[6,7,8,9,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,.]]]]
[6,5,3,4,2,1,9,8,7]=>[6,5,4,3,2,1,9,8,7]=>[7,8,9,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]]
[7,6,4,5,3,2,1,9,8]=>[7,6,5,4,3,2,1,9,8]=>[8,9,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]
[4,5,2,7,8,6,1,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,3,5,8,7,2,6,4]=>[1,6,8,7,5,2,4,3]=>[3,4,2,5,7,8,6,1]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]
[6,4,1,8,5,7,3,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,5,1,6,7,2,4,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,6,7,2,1,5,8,4]=>[5,8,6,4,1,3,7,2]=>[2,7,3,1,4,6,8,5]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]
[2,5,6,1,3,8,7,4]=>[4,8,5,1,3,7,6,2]=>[2,6,7,3,1,5,8,4]=>[[.,.],[[.,[[.,.],.]],[.,[.,.]]]]
[3,8,5,7,2,4,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,1,4,5,2,8,3]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[7,2,5,6,1,3,8,4]=>[8,5,6,4,2,3,7,1]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[6,4,1,2,5,8,3,7]=>[7,5,3,4,2,8,1,6]=>[6,1,8,2,4,3,5,7]=>[[.,[.,[[.,.],[.,.]]]],[[.,.],.]]
[4,6,3,5,7,1,8,2]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[4,7,3,5,2,6,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,8,4,1,5,7,3,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,1,6,2,3,7,5,4]=>[8,2,7,4,5,6,3,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[7,8,9,6,1,2,3,4,10,5]=>[10,8,7,6,5,4,3,2,9,1]=>[1,9,2,3,4,5,6,7,8,10]=>[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]]
[2,8,9,10,7,1,3,4,5,6]=>[6,10,9,8,7,1,5,4,3,2]=>[2,3,4,5,1,7,8,9,10,6]=>[[.,.],[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]]
[8,9,7,5,6,1,2,3,10,4]=>[10,8,7,6,5,4,3,2,9,1]=>[1,9,2,3,4,5,6,7,8,10]=>[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]]
[7,8,9,5,1,2,3,4,10,6]=>[10,8,7,6,5,4,3,2,9,1]=>[1,9,2,3,4,5,6,7,8,10]=>[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]]
[2,8,9,10,6,1,3,4,5,7]=>[6,10,9,8,7,1,5,4,3,2]=>[2,3,4,5,1,7,8,9,10,6]=>[[.,.],[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]]
[2,9,10,11,12,8,1,3,4,5,6,7]=>[7,12,11,10,9,8,1,6,5,4,3,2]=>[2,3,4,5,6,1,8,9,10,11,12,7]=>[[.,.],[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]]
[2,8,3,6,4,1,7,5]=>[6,8,3,7,5,1,4,2]=>[2,4,1,5,7,3,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[5,1,8,7,3,2,6,4]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,5,3,4,8,2,1,7]=>[7,6,4,3,8,2,1,5]=>[5,1,2,8,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[5,4,8,7,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,4,5,1,2,6,7,8,9]=>[5,4,3,2,1,6,7,8,9]=>[9,8,7,6,1,2,3,4,5]=>[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.]
[5,2,7,6,8,3,4,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,4,5,2,7,3,6,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,3,7,4,5,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,3,4,2,8,5,6,1]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[4,3,6,5,8,2,7,1]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[8,2,7,4,5,3,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,2,8,4,5,3,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,3,8,2,7,4,5,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,2,8,4,7,5,6,1]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,3,6,2,7,4,5,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,7,8,4,3,6,5,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,7,8,3,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,4,5,8,7,2,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,1,7,2,4,3,6]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[8,3,5,2,1,6,7,4]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[2,6,4,7,1,8,5,3]=>[5,8,7,4,1,6,3,2]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,6,5,7,3,8,2,4]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,8,5,3,7,6,2,4]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,4,2,3,8,7,5,1]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[6,1,4,2,7,8,3,5]=>[8,2,7,4,5,6,3,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[6,5,1,3,7,8,4,2]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[5,1,3,2,7,8,6,4]=>[8,2,4,3,7,6,5,1]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[5,6,8,2,4,7,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,4,2,3,8,5,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,8,7,3,2,4,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,7,1,4,6,8,2,3]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[1,4,3,7,6,2,8,5]=>[1,6,3,8,5,2,7,4]=>[4,7,2,5,8,3,6,1]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[1,6,2,5,7,3,8,4]=>[1,8,3,6,5,4,7,2]=>[2,7,4,5,6,3,8,1]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[1,4,3,8,2,5,7,6]=>[1,5,3,8,2,6,7,4]=>[4,7,6,2,8,3,5,1]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[1,5,7,3,6,4,2,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[1,6,7,2,4,8,3,5]=>[1,8,7,4,5,6,3,2]=>[2,3,6,5,4,7,8,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[3,7,2,8,4,1,5,6]=>[6,8,3,7,5,1,4,2]=>[2,4,1,5,7,3,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[5,3,4,1,7,8,6,2]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[4,7,6,5,8,2,3,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,3,8,4,5,7,1,6]=>[7,2,8,4,5,6,1,3]=>[3,1,6,5,4,8,2,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[4,1,8,3,2,6,5,7]=>[5,2,8,4,1,7,6,3]=>[3,6,7,1,4,8,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[1,2,6,8,4,3,5,7]=>[1,2,7,8,6,5,3,4]=>[4,3,5,6,8,7,2,1]=>[[[[.,.],.],.],[.,[.,[[.,.],.]]]]
[7,2,6,3,1,8,4,5]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[5,8,4,1,3,7,2,6]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[3,4,2,1,6,8,5,7]=>[4,3,2,1,7,8,5,6]=>[6,5,8,7,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],.],[[.,.],.]]
[8,1,3,5,6,4,7,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,4,7,1,5,6,2,8]=>[7,4,6,2,5,3,1,8]=>[8,1,3,5,2,6,4,7]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[4,8,2,6,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,7,2,5,6,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,6,4,7,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,2,3,1,6,7,4]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,3,2,6,4,1,7,5]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[8,4,1,5,3,6,7,2]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[8,3,5,1,4,6,7,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,5,1,3,4,6,7,2]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[3,8,6,2,5,4,7,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,8,4,6,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,1,7,4,2,5,3,6]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,3,2,5,1,4,7,6]=>[8,5,3,6,2,4,7,1]=>[1,7,4,2,6,3,5,8]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[8,4,5,1,2,6,7,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,1,5,3,2,6,7,4]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[8,1,5,2,4,6,7,3]=>[8,2,7,4,5,6,3,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[5,2,6,4,1,3,8,7]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[7,1,3,5,2,8,6,4]=>[8,2,5,7,3,6,4,1]=>[1,4,6,3,7,5,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[8,6,4,7,1,3,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,4,3,2,1,7,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,1,8,5,4,3,7,6]=>[2,1,8,6,5,4,7,3]=>[3,7,4,5,6,8,1,2]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[6,2,8,5,4,1,3,7]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[6,4,8,5,3,2,7,1]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[9,10,6,7,4,5,2,3,1,8]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,5,4,6,2,7,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,5,4,7,2,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,5,7,3,4,8,1,6]=>[7,5,8,4,2,6,1,3]=>[3,1,6,2,4,8,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[5,2,4,7,8,1,3,6]=>[7,6,3,8,5,2,1,4]=>[4,1,2,5,8,3,6,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[8,5,9,3,6,1,2,4,7]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,7,5,4,1,3,8,2,6]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[8,9,4,5,10,1,2,3,6,7]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,10,6,7,4,5,1,2,3,8]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,6,4,10,3,7,1,2,5,8]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,1,8,9,6,7,4,5,2,3]=>[10,2,9,8,7,6,5,4,3,1]=>[1,3,4,5,6,7,8,9,2,10]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[10,8,6,5,4,1,3,9,2,7]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,8,7,6,5,4,3,1,2,9]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[4,8,5,6,1,2,7,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,5,6,8,7,1,4,3]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[1,7,8,5,4,6,2,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,6,8,1,5,2,7,3]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[5,3,8,1,2,6,7,4]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[8,2,3,6,4,1,7,5]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[2,3,7,5,8,6,1,4]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[3,8,5,1,2,4,7,6]=>[5,8,6,4,1,3,7,2]=>[2,7,3,1,4,6,8,5]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]
[1,3,6,4,8,2,7,5]=>[1,6,8,4,7,2,5,3]=>[3,5,2,7,4,8,6,1]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[1,2,3,4,6,5,7,8,9,10]=>[1,2,3,4,6,5,7,8,9,10]=>[10,9,8,7,5,6,4,3,2,1]=>[[[[[[[[[.,.],.],.],.],[.,.]],.],.],.],.]
[1,7,6,2,8,5,3,4]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,5,8,6,4,7,2,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,2,8,1,7,3,4]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[6,8,4,5,1,3,7,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,2,3,8,1,4,6,7]=>[6,5,3,8,2,1,7,4]=>[4,7,1,2,8,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[9,6,5,4,3,2,1,7,8]=>[9,7,6,5,4,3,2,8,1]=>[1,8,2,3,4,5,6,7,9]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]]
[10,7,6,5,4,3,2,1,8,9]=>[10,8,7,6,5,4,3,2,9,1]=>[1,9,2,3,4,5,6,7,8,10]=>[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]]
[9,8,5,4,3,2,1,6,7]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[8,6,5,2,4,3,7,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,2,5,3,7,4,8,1]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[8,5,4,2,6,3,7,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,5,3,2,6,4,7,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,4,6,5,8,2,3,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,3,6,5,8,2,4,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,3,6,4,8,2,5,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,3,5,4,8,2,6,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,3,6,8,4,5,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,2,7,4,8,5,6,3]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[2,6,7,4,8,5,1,3]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[3,2,7,5,8,4,6,1]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,5,8,6,4,3,7,1]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[6,4,2,5,7,1,8,3]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[2,7,5,4,6,8,1,3]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[9,1,2,3,4,5,8,7,6]=>[9,2,3,4,5,6,8,7,1]=>[1,7,8,6,5,4,3,2,9]=>[.,[[[[[[.,.],.],.],.],.],[.,[.,.]]]]
[8,1,4,7,3,5,6,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,3,7,2,4,5,6,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,1,4,5,7,3,6,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,6,3,4,2,8,7,1]=>[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[2,5,7,4,6,8,1,3]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[2,5,6,4,1,3,8,7]=>[5,6,4,3,1,2,8,7]=>[7,8,2,1,3,4,6,5]=>[[[.,.],[.,[.,[[.,.],.]]]],[.,.]]
[4,6,1,3,5,7,2,8]=>[7,5,3,4,2,6,1,8]=>[8,1,6,2,4,3,5,7]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[3,2,7,5,8,1,6,4]=>[6,2,8,7,5,1,4,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[4,3,6,8,5,2,1,7]=>[7,6,5,8,3,2,1,4]=>[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[4,5,3,2,1,8,6,7]=>[5,4,3,2,1,8,7,6]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[3,6,5,8,1,7,4,2]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[4,1,6,8,5,2,3,7]=>[7,2,6,8,5,3,1,4]=>[4,1,3,5,8,6,2,7]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]
[4,5,2,8,6,7,1,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,5,2,8,6,7,3,1]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,5,8,6,2,4,7,1]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[2,5,1,6,4,8,3,7]=>[3,7,1,5,4,8,2,6]=>[6,2,8,4,5,1,7,3]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]
[3,2,4,5,8,6,1,7]=>[7,2,3,4,8,6,1,5]=>[5,1,6,8,4,3,2,7]=>[[.,[[[.,.],.],.]],[.,[[.,.],.]]]
[4,5,2,1,3,8,6,7]=>[5,4,3,2,1,8,7,6]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[4,2,3,6,8,5,1,7]=>[7,3,2,6,8,4,1,5]=>[5,1,4,8,6,2,3,7]=>[[.,[[.,[.,.]],.]],[[.,[.,.]],.]]
[4,5,1,3,2,8,6,7]=>[5,4,3,2,1,8,7,6]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[3,4,5,8,6,1,7,2]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[3,4,5,8,6,1,2,7]=>[7,6,3,8,5,2,1,4]=>[4,1,2,5,8,3,6,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[6,4,1,3,7,8,2,5]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[7,3,1,2,5,4,8,6]=>[8,4,3,2,6,5,7,1]=>[1,7,5,6,2,3,4,8]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[8,2,6,4,1,3,7,5]=>[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[1,5,8,2,4,3,7,6]=>[1,6,8,4,5,2,7,3]=>[3,7,2,5,4,8,6,1]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]
[4,3,7,8,2,6,5,1]=>[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[3,8,5,1,2,6,7,4]=>[5,8,7,4,1,6,3,2]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[2,4,7,8,3,6,5,1]=>[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[5,4,7,8,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,1,3,2,5,7,4]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[1,4,8,5,7,2,3,6]=>[1,7,8,6,5,4,2,3]=>[3,2,4,5,6,8,7,1]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[1,8,7,3,2,4,5,6]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[8,6,2,7,3,4,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,2,7,3,4,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,6,3,2,8,7,1,4]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[5,1,6,7,8,3,2,4]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,5,6,3,7,2,4,8]=>[1,7,6,4,5,3,2,8]=>[8,2,3,5,4,6,7,1]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[1,5,6,7,4,2,3,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[8,6,1,7,3,4,5,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,8,5,1,7,4,2,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,4,2,3,5,7,6,1]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[4,8,5,2,3,1,6,7]=>[6,8,5,4,3,1,7,2]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[5,4,8,3,1,2,6,7]=>[6,5,8,4,2,1,7,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[8,4,7,3,2,5,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,5,1,7,3,4,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,2,7,3,8,1,4,5]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[8,4,2,6,7,1,5,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,7,8,3,6,5,2,4]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,6,7,5,1,8,2,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,5,2,6,8,7,4,1]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[7,3,6,8,4,1,2,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,4,2,3,7,5,8,1]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[6,3,7,5,1,2,8,4]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,2,5,4,8,6,3,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,2,3,8,7,4,5,1]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,1,2,8,4,6,5,3]=>[8,2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[3,5,8,1,2,7,6,4]=>[5,8,7,4,1,6,3,2]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[7,6,2,8,5,3,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,3,5,4,7,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,2,7,6,4,1,3,5]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[8,3,7,5,1,6,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,7,1,4,2,6,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,8,2,5,6,3,7,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,1,5,7,4,6,2,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,7,1,5,6,3,2,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[4,5,7,1,6,3,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[2,7,1,4,8,3,6,5]=>[3,8,1,6,7,4,5,2]=>[2,5,4,7,6,1,8,3]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[2,7,1,5,6,8,4,3]=>[3,8,1,7,5,6,4,2]=>[2,4,6,5,7,1,8,3]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[2,3,1,8,7,4,6,5]=>[3,2,1,8,7,6,5,4]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[4,6,8,2,1,5,3,7]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[5,6,8,4,7,2,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,5,7,3,6,1,2,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,5,8,2,6,1,7,3]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[3,4,5,7,2,1,6,8]=>[6,5,3,7,2,1,4,8]=>[8,4,1,2,7,3,5,6]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[4,5,6,8,3,2,7,1]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[4,5,7,2,6,1,8,3]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,6,5,7,2,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,6,7,2,5,8,4,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,3,6,7,4,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,2,7,8,3,6,5,1]=>[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[4,2,7,8,5,6,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,4,3,7,8,1,6,2]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[3,5,7,8,4,2,1,6]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[4,6,7,3,2,8,1,5]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[4,6,5,3,7,8,1,2]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[5,6,2,4,7,8,3,1]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[5,6,3,2,8,4,7,1]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[5,6,2,8,3,4,7,1]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[3,7,4,8,1,6,5,2]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[5,2,4,8,6,7,3,1]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,2,6,4,8,7,3,1]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[2,4,7,8,6,5,1,3]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[5,2,6,7,8,1,4,3]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[4,8,2,7,5,3,1,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[1,2,4,6,5,8,3,7]=>[1,2,7,5,4,8,3,6]=>[6,3,8,4,5,7,2,1]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]
[5,4,2,3,1,7,8,6]=>[5,4,3,2,1,8,7,6]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[5,8,6,1,7,2,3,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,4,7,5,6,2,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,8,6,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,2,5,4,7,3,6,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,2,8,7,3,6,5,1]=>[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[3,7,8,6,1,4,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,6,7,8,2,1,5,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,7,6,3,8,1,5,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,8,1,4,6,2,5,7]=>[6,8,3,4,7,1,5,2]=>[2,5,1,7,4,3,8,6]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[4,7,5,6,2,8,1,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,7,5,1,6,3,2,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,8,6,2,3,5,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,8,4,6,7,3,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,1,6,7,8,2,5,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,6,3,4,1,2,7,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,7,8,6,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,6,7,3,5,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,4,7,3,5,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,4,5,8,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,7,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,6,4,2,8,1,7,5]=>[6,8,4,3,7,1,5,2]=>[2,5,1,7,3,4,8,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[3,4,8,6,2,1,7,5]=>[6,5,8,7,2,1,4,3]=>[3,4,1,2,7,8,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]
[8,4,6,2,1,7,3,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,8,6,2,1,7,4,5]=>[5,8,7,4,1,6,3,2]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[8,1,7,6,2,5,4,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,5,4,3,7,6,1,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,8,1,3,6,7,5,2]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[3,5,8,6,1,7,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,1,4,7,5,2,6,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,4,8,6,7,3,5,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,1,6,7,8,5,3,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,7,8,6,4,1,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,6,1,5,7,2,3,8]=>[7,6,3,4,5,2,1,8]=>[8,1,2,5,4,3,6,7]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[4,8,5,3,2,7,1,6]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[5,4,8,1,3,7,2,6]=>[7,5,8,4,2,6,1,3]=>[3,1,6,2,4,8,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[8,4,5,3,1,7,2,6]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,4,5,3,1,8,6,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,6,8,7,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,7,8,6,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,7,5,1,3,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,8,2,6,7,5,1,4]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[4,7,6,3,8,2,5,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,7,4,1,8,2,5,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,7,6,8,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,4,2,8,1,5,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,3,4,8,7,1,2,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,7,4,8,1,6,3,5]=>[5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[5,3,1,6,7,8,2,4]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[3,4,7,8,6,1,2,5]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[2,1,4,7,8,6,3,5]=>[2,1,7,8,6,5,3,4]=>[4,3,5,6,8,7,1,2]=>[[[.,[.,.]],.],[.,[.,[[.,.],.]]]]
[2,4,5,8,1,6,3,7]=>[5,7,3,8,1,6,2,4]=>[4,2,6,1,8,3,7,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[3,4,6,8,2,5,7,1]=>[8,5,6,7,2,3,4,1]=>[1,4,3,2,7,6,5,8]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]
[1,8,5,6,4,2,3,7]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,7,6,2,4,5,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,4,8,5,7,3,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,7,5,1,8,6,3,4]=>[4,8,7,1,6,5,3,2]=>[2,3,5,6,1,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[4,7,1,6,5,3,8,2]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[1,7,5,6,4,8,2,3]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[8,3,1,4,6,2,7,5]=>[8,6,3,4,7,2,5,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[7,2,6,4,5,8,1,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,2,5,4,6,8,1,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,6,7,8,9,1,2,3,5]=>[8,9,7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7,9,8]=>[[.,.],[.,[.,[.,[.,[.,[[.,.],.]]]]]]]
[5,7,8,9,1,2,3,4,6]=>[8,9,7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7,9,8]=>[[.,.],[.,[.,[.,[.,[.,[[.,.],.]]]]]]]
[2,7,1,5,3,8,6,4]=>[3,8,1,7,5,6,4,2]=>[2,4,6,5,7,1,8,3]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[2,4,3,8,5,1,7,6]=>[6,3,2,8,5,1,7,4]=>[4,7,1,5,8,2,3,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[2,8,3,4,1,7,6,5]=>[5,8,3,4,1,7,6,2]=>[2,6,7,1,4,3,8,5]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[4,7,6,8,2,5,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,6,7,1,4,5,8,3]=>[4,8,6,1,5,3,7,2]=>[2,7,3,5,1,6,8,4]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[8,7,1,6,3,5,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,7,2,6,1,5,3,4]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[7,1,3,8,2,6,4,5]=>[8,2,5,7,3,6,4,1]=>[1,4,6,3,7,5,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[6,2,5,3,4,7,1,8]=>[7,5,4,3,2,6,1,8]=>[8,1,6,2,3,4,5,7]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[2,7,3,4,1,5,8,6]=>[5,8,3,4,1,6,7,2]=>[2,7,6,1,4,3,8,5]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]
[2,5,8,1,6,7,3,4]=>[4,8,7,1,6,5,3,2]=>[2,3,5,6,1,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[7,3,4,6,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,1,3,7,2,8,4,6]=>[7,2,5,8,3,6,1,4]=>[4,1,6,3,8,5,2,7]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[5,2,4,6,1,7,8,3]=>[8,5,3,4,2,6,7,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]
[3,8,4,6,1,5,7,2]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[8,7,3,2,5,1,6,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,6,4,1,2,5,8,7]=>[5,6,4,3,1,2,8,7]=>[7,8,2,1,3,4,6,5]=>[[[.,.],[.,[.,[[.,.],.]]]],[.,.]]
[5,2,7,1,4,3,6,8]=>[6,4,7,2,5,1,3,8]=>[8,3,1,5,2,7,4,6]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[6,3,1,4,2,5,8,7]=>[6,5,3,4,2,1,8,7]=>[7,8,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]
[5,2,3,1,4,6,8,7]=>[5,4,3,2,1,6,8,7]=>[7,8,6,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]]
[4,2,7,1,3,5,8,6]=>[5,4,8,2,1,6,7,3]=>[3,7,6,1,2,8,4,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[3,5,1,7,6,2,8,4]=>[6,8,3,5,4,1,7,2]=>[2,7,1,4,5,3,8,6]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[8,3,6,2,7,5,4,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,4,2,6,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,4,2,7,1,8,6,3]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[2,3,6,7,1,8,5,4]=>[5,2,8,7,1,6,4,3]=>[3,4,6,1,7,8,2,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[3,6,1,2,7,8,5,4]=>[4,8,3,1,7,6,5,2]=>[2,5,6,7,1,3,8,4]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[4,5,1,8,7,6,3,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,4,5,2,7,6,3,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,1,3,6,7,5,2,8]=>[7,2,3,6,5,4,1,8]=>[8,1,4,5,6,3,2,7]=>[[.,[[[.,.],.],[.,[.,[.,.]]]]],.]
[3,1,4,5,7,6,2,8]=>[7,2,3,4,6,5,1,8]=>[8,1,5,6,4,3,2,7]=>[[.,[[[[.,.],.],.],[.,[.,.]]]],.]
[3,8,5,1,2,4,6,7]=>[5,8,6,4,1,3,7,2]=>[2,7,3,1,4,6,8,5]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]
[8,5,1,2,4,3,6,7]=>[8,6,3,4,5,2,7,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[5,8,4,1,2,3,6,7]=>[6,8,5,4,3,1,7,2]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[3,5,8,1,4,2,7,6]=>[6,5,8,4,2,1,7,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[2,8,5,7,1,4,3,6]=>[5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[4,8,7,5,1,2,3,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[7,6,1,4,2,3,8,5]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[6,1,2,7,8,4,3,5]=>[8,2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[7,8,1,2,5,3,4,6]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[1,8,4,7,5,2,3,6]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,4,7,2,1,6,3,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,5,8,2,1,6,7,3]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[7,4,2,5,3,6,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[3,1,6,7,5,2,4,8]=>[6,2,7,5,4,1,3,8]=>[8,3,1,4,5,7,2,6]=>[[[.,[.,.]],[.,[.,[[.,.],.]]]],.]
[8,4,2,5,3,6,7,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,8,1,5,3,6,7,2]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[5,1,4,6,3,7,8,2]=>[8,2,5,4,3,6,7,1]=>[1,7,6,3,4,5,2,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[7,1,5,3,6,8,2,4]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[8,1,5,3,6,7,2,4]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,6,5,2,4,7,8,1]=>[8,5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[1,7,5,4,6,8,2,3]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[4,7,8,2,5,6,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,8,5,4,6,7,1,3]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[4,5,2,6,1,8,3,7]=>[7,5,3,4,2,8,1,6]=>[6,1,8,2,4,3,5,7]=>[[.,[.,[[.,.],[.,.]]]],[[.,.],.]]
[5,1,8,6,7,3,4,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,8,3,2,4,1,5,7]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[6,5,2,4,1,7,8,3]=>[8,5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[5,4,8,2,1,3,6,7]=>[6,5,8,4,2,1,7,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[7,2,8,3,1,4,5,6]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[8,1,3,2,7,5,4,6]=>[8,2,4,3,7,6,5,1]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[9,8,7,5,6,4,3,2,10,1]=>[10,8,7,6,5,4,3,2,9,1]=>[1,9,2,3,4,5,6,7,8,10]=>[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]]
[8,7,5,4,6,3,2,9,1]=>[9,7,6,5,4,3,2,8,1]=>[1,8,2,3,4,5,6,7,9]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]]
[8,7,4,6,5,3,2,9,1]=>[9,7,6,5,4,3,2,8,1]=>[1,8,2,3,4,5,6,7,9]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]]
[2,3,1,7,8,9,6,5,4]=>[3,2,1,9,8,7,6,5,4]=>[4,5,6,7,8,9,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,6,7,8,9,5,4,3]=>[2,1,9,8,7,6,5,4,3]=>[3,4,5,6,7,8,9,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]]
[9,7,10,2,4,6,8,1,3,5]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,9,10,7,2,4,6,1,3,5]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[7,9,5,10,2,4,6,8,1,3]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[5,8,9,10,7,2,4,6,1,3]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,6,7,5,10,2,4,8,1,3]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,9,6,10,5,7,2,4,1,3]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[7,8,9,10,6,5,2,4,1,3]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[3,4,2,6,8,10,1,5,7,9]=>[7,3,2,8,9,10,1,4,5,6]=>[6,5,4,1,10,9,8,2,3,7]=>[[[[.,[.,[.,.]]],.],.],[[[[.,.],.],.],.]]
[8,9,10,3,4,7,2,6,1,5]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[5,3,6,2,4,8,10,1,7,9]=>[8,5,4,3,2,9,10,1,6,7]=>[7,6,1,10,9,2,3,4,5,8]=>[[[.,[.,[.,[.,[.,.]]]]],.],[[[.,.],.],.]]
[5,7,3,8,2,4,6,10,1,9]=>[9,7,6,5,4,3,2,10,1,8]=>[8,1,10,2,3,4,5,6,7,9]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[[.,.],.]]
[8,5,9,10,3,7,2,4,6,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[3,6,7,8,5,2,4,10,1,9]=>[9,7,6,5,4,3,2,10,1,8]=>[8,1,10,2,3,4,5,6,7,9]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[[.,.],.]]
[9,3,6,7,5,10,2,4,8,1]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[6,8,3,9,10,5,7,2,4,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[7,8,9,10,3,6,5,2,4,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[4,5,6,3,2,8,10,1,7,9]=>[8,5,4,3,2,9,10,1,6,7]=>[7,6,1,10,9,2,3,4,5,8]=>[[[.,[.,[.,[.,[.,.]]]]],.],[[[.,.],.],.]]
[4,8,5,9,10,3,7,2,6,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[6,7,4,8,3,5,2,10,1,9]=>[9,7,6,5,4,3,2,10,1,8]=>[8,1,10,2,3,4,5,6,7,9]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[[.,.],.]]
[8,6,9,4,10,3,5,7,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[7,4,8,9,10,6,3,5,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[5,6,7,8,4,3,2,10,1,9]=>[9,7,6,5,4,3,2,10,1,8]=>[8,1,10,2,3,4,5,6,7,9]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[[.,.],.]]
[8,9,5,6,4,10,3,7,2,1]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[7,8,9,5,10,4,6,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[11,9,12,2,4,6,8,10,1,3,5,7]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[10,11,12,9,2,4,6,8,1,3,5,7]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[9,11,7,12,2,4,6,8,10,1,3,5]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[7,10,11,12,9,2,4,6,8,1,3,5]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,8,9,7,12,2,4,6,10,1,3,5]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[10,11,8,12,7,9,2,4,6,1,3,5]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[9,10,11,12,8,7,2,4,6,1,3,5]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,5,6,9,12,2,4,8,10,1,3,7]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[10,11,12,5,6,9,2,4,8,1,3,7]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[7,9,11,5,12,2,4,6,8,10,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[10,7,11,12,5,9,2,4,6,8,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,5,8,9,7,12,2,4,6,10,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[8,10,5,11,12,7,9,2,4,6,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[9,10,11,12,5,8,7,2,4,6,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[6,10,7,11,12,5,9,2,4,8,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[10,8,11,6,12,5,7,9,2,4,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[9,6,10,11,12,8,5,7,2,4,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[10,11,7,8,6,12,5,9,2,4,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[9,10,11,7,12,6,8,5,2,4,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[8,9,10,11,12,7,6,5,2,4,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[10,11,8,12,3,4,7,9,2,6,1,5]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[9,10,11,12,8,3,4,7,2,6,1,5]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[10,5,7,11,12,3,9,2,4,6,8,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[8,10,11,5,12,3,7,9,2,4,6,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[5,9,10,11,12,8,3,7,2,4,6,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[6,10,3,7,11,12,5,9,2,4,8,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[10,6,8,3,11,12,5,7,9,2,4,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[9,6,10,11,12,3,8,5,7,2,4,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[9,10,11,7,12,3,6,8,5,2,4,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[8,9,10,11,12,7,3,6,5,2,4,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[7,10,4,5,11,12,3,9,2,6,8,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[4,8,10,11,5,12,3,7,9,2,6,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[8,10,6,11,4,12,3,5,7,9,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[6,9,4,10,11,12,8,3,5,7,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[9,7,10,4,11,12,6,8,3,5,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[4,8,9,10,11,12,7,6,3,5,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[9,5,10,6,11,12,4,8,3,7,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[9,10,7,11,5,12,4,6,8,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[8,9,5,10,11,12,7,4,6,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[8,9,10,11,6,12,5,7,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[7,6,1,8,2,5,4,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,4,1,6,7,3,5,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,8,4,2,1,6,3,7]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[7,6,4,1,2,5,3,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,4,2,8,1,6,3,7]=>[7,5,3,8,2,6,1,4]=>[4,1,6,2,8,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[8,7,2,6,4,5,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,2,8,4,3,6,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,7,5,4,8,6,2,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,8,6,3,5,2,1,7]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[5,8,6,3,2,7,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,7,6,3,2,4,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,7,3,2,8,6,4,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,5,1,6,8,2,7,3]=>[8,6,3,4,7,2,5,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[1,6,3,7,2,4,8,5]=>[1,8,5,6,3,4,7,2]=>[2,7,4,3,6,5,8,1]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]
[8,9,7,6,5,4,3,1,2]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[8,6,7,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[9,1,2,3,4,5,6,7,8]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[8,7,9,6,5,4,3,1,2]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,7,8,6,5,4,3,1,2]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[4,3,7,1,6,2,5,8]=>[6,4,7,2,5,1,3,8]=>[8,3,1,5,2,7,4,6]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[4,3,1,6,7,2,5,8]=>[6,3,2,7,5,1,4,8]=>[8,4,1,5,7,2,3,6]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[6,3,1,5,7,2,4,8]=>[7,6,3,4,5,2,1,8]=>[8,1,2,5,4,3,6,7]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[8,7,6,9,5,3,4,2,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[8,7,9,6,5,4,2,3,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[5,2,1,4,8,6,7,3]=>[8,3,2,4,7,6,5,1]=>[1,5,6,7,4,2,3,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[4,5,2,1,3,7,6,8]=>[5,4,3,2,1,7,6,8]=>[8,6,7,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[8,2,7,4,1,6,5,3]=>[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[3,2,8,4,1,6,5,7]=>[5,2,8,4,1,7,6,3]=>[3,6,7,1,4,8,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[3,7,6,4,1,5,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,1,6,5,4,2,8,3]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[7,1,8,4,2,3,6,5]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,7,6,4,5,1,8,3]=>[6,8,5,4,3,1,7,2]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[4,6,8,1,7,3,5,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,6,8,1,5,7,4,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,8,3,1,6,7,4,5]=>[4,8,3,1,7,6,5,2]=>[2,5,6,7,1,3,8,4]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[4,5,6,8,2,1,7,3]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[4,5,6,8,1,3,7,2]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[4,5,8,3,2,1,7,6]=>[6,5,8,4,2,1,7,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[4,5,1,3,2,6,7,8]=>[5,4,3,2,1,6,7,8]=>[8,7,6,1,2,3,4,5]=>[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]
[4,7,8,3,5,1,6,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,7,1,3,5,6,2,8]=>[7,6,3,4,5,2,1,8]=>[8,1,2,5,4,3,6,7]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[4,8,3,2,1,6,7,5]=>[5,8,4,3,1,7,6,2]=>[2,6,7,1,3,4,8,5]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[5,2,8,1,4,6,7,3]=>[8,4,7,2,5,6,3,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[5,6,3,7,8,1,4,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,7,1,4,3,6,2,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[6,2,3,7,1,5,4,8]=>[7,5,3,6,2,4,1,8]=>[8,1,4,2,6,3,5,7]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[6,2,8,1,5,4,7,3]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,1,3,4,5,2,7,8]=>[6,2,5,4,3,1,7,8]=>[8,7,1,3,4,5,2,6]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[7,1,3,4,5,6,2,8]=>[7,2,6,4,5,3,1,8]=>[8,1,3,5,4,6,2,7]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[7,2,5,1,3,6,4,8]=>[7,4,6,2,5,3,1,8]=>[8,1,3,5,2,6,4,7]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[6,5,2,7,8,4,3,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,5,3,6,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[2,3,6,5,8,4,7,1]=>[8,2,6,4,7,3,5,1]=>[1,5,3,7,4,6,2,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[1,5,2,6,8,7,3,4]=>[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[8,5,6,3,4,1,2,9,7]=>[9,7,6,5,4,3,2,8,1]=>[1,8,2,3,4,5,6,7,9]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]]
[6,5,4,3,2,1,8,9,7]=>[6,5,4,3,2,1,9,8,7]=>[7,8,9,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]]
[6,9,4,7,2,5,1,3,8]=>[8,9,7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7,9,8]=>[[.,.],[.,[.,[.,[.,[.,[[.,.],.]]]]]]]
[6,5,4,3,2,9,1,7,8]=>[7,5,4,3,2,9,1,8,6]=>[6,8,1,9,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],[.,.]]]
[8,9,4,5,6,1,2,3,10,7]=>[10,8,7,6,5,4,3,2,9,1]=>[1,9,2,3,4,5,6,7,8,10]=>[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]]
[5,9,10,2,6,7,1,3,4,8]=>[9,10,8,7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7,8,10,9]=>[[.,.],[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]
[7,6,5,4,3,2,1,9,10,8]=>[7,6,5,4,3,2,1,10,9,8]=>[8,9,10,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,[.,.]]]
[10,7,8,5,6,3,4,1,2,9]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[5,3,4,7,2,1,6,8]=>[6,5,3,7,2,1,4,8]=>[8,4,1,2,7,3,5,6]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[7,6,9,5,4,3,2,1,8]=>[8,7,9,6,5,4,2,1,3]=>[3,1,2,4,5,6,9,7,8]=>[[.,[.,.]],[.,[.,[.,[[.,[.,.]],.]]]]]
[4,8,5,7,1,2,3,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[4,2,3,7,6,1,8,5]=>[6,3,2,8,5,1,7,4]=>[4,7,1,5,8,2,3,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[4,2,6,3,1,5,7,8]=>[5,4,6,2,1,3,7,8]=>[8,7,3,1,2,6,4,5]=>[[[[.,[.,.]],[[.,[.,.]],.]],.],.]
[2,1,8,7,4,3,6,5,10,9]=>[2,1,8,7,6,5,4,3,10,9]=>[9,10,3,4,5,6,7,8,1,2]=>[[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[6,5,2,1,4,3,12,11,8,7,10,9]=>[6,5,4,3,2,1,12,11,10,9,8,7]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,[.,[.,.]]]]]]
[4,6,3,2,5,8,7,1]=>[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[5,8,4,3,2,6,1,7]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[1,5,7,4,8,6,2,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,1,5,7,3,8,2,4]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[1,2,7,8,6,4,3,5]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[3,5,1,7,8,6,2,4]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[5,2,4,1,7,6,8,3]=>[8,4,3,2,6,5,7,1]=>[1,7,5,6,2,3,4,8]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[2,3,1,9,6,7,8,5,4]=>[3,2,1,9,8,7,6,5,4]=>[4,5,6,7,8,9,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,9,5,6,7,8,4,3]=>[2,1,9,8,7,6,5,4,3]=>[3,4,5,6,7,8,9,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,9,4,5,6,7,8,3,2]=>[1,9,8,7,5,6,4,3,2]=>[2,3,4,6,5,7,8,9,1]=>[[.,.],[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,4,3,8,1,7,2,6]=>[7,5,3,8,2,6,1,4]=>[4,1,6,2,8,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[5,4,9,1,8,2,7,3,6]=>[8,6,9,4,7,2,5,1,3]=>[3,1,5,2,7,4,9,6,8]=>[[.,[.,.]],[[.,.],[[.,.],[[.,.],.]]]]
[5,4,6,3,9,1,8,2,7]=>[8,6,4,3,9,2,7,1,5]=>[5,1,7,2,9,3,4,6,8]=>[[.,[.,[.,[.,.]]]],[[.,.],[[.,.],.]]]
[5,7,3,9,1,8,2,6,4]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[4,5,9,1,8,2,7,3,6]=>[8,6,9,4,7,2,5,1,3]=>[3,1,5,2,7,4,9,6,8]=>[[.,[.,.]],[[.,.],[[.,.],[[.,.],.]]]]
[6,4,5,3,9,1,8,2,7]=>[8,6,4,3,9,2,7,1,5]=>[5,1,7,2,9,3,4,6,8]=>[[.,[.,[.,[.,.]]]],[[.,.],[[.,.],.]]]
[5,6,4,10,1,9,2,8,3,7]=>[9,7,5,10,3,8,2,6,1,4]=>[4,1,6,2,8,3,10,5,7,9]=>[[.,[.,[.,.]]],[[.,.],[[.,.],[[.,.],.]]]]
[5,4,7,3,6,2,9,1,8]=>[8,6,5,4,3,2,9,1,7]=>[7,1,9,2,3,4,5,6,8]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[[.,.],.]]
[5,6,4,7,3,10,1,9,2,8]=>[9,7,5,4,3,10,2,8,1,6]=>[6,1,8,2,10,3,4,5,7,9]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],[[.,.],.]]]
[7,3,1,5,6,8,4,2]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[7,2,3,1,6,8,4,5]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[4,1,8,2,5,6,3,7]=>[7,2,8,4,5,6,1,3]=>[3,1,6,5,4,8,2,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[5,7,8,1,6,2,3,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,6,4,2,7,3,8,5]=>[1,8,6,4,5,3,7,2]=>[2,7,3,5,4,6,8,1]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[1,4,2,5,8,6,3,7]=>[1,7,3,4,8,6,2,5]=>[5,2,6,8,4,3,7,1]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]
[5,4,3,2,1,8,9,7,6]=>[5,4,3,2,1,9,8,7,6]=>[6,7,8,9,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,.]]]]
[4,3,2,1,8,9,7,6,5]=>[4,3,2,1,9,8,7,6,5]=>[5,6,7,8,9,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]]
[3,2,1,8,9,7,6,5,4]=>[3,2,1,9,8,7,6,5,4]=>[4,5,6,7,8,9,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,8,9,7,6,5,4,3]=>[2,1,9,8,7,6,5,4,3]=>[3,4,5,6,7,8,9,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,8,2,1,5,7,3,6]=>[7,8,4,3,5,6,1,2]=>[2,1,6,5,3,4,8,7]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]
[5,2,7,1,6,3,4,8]=>[7,4,6,2,5,3,1,8]=>[8,1,3,5,2,6,4,7]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[4,8,2,5,1,6,3,7]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[5,8,1,2,4,6,3,7]=>[7,8,3,4,5,6,1,2]=>[2,1,6,5,4,3,8,7]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]
[3,2,7,5,6,1,4,8]=>[6,2,7,5,4,1,3,8]=>[8,3,1,4,5,7,2,6]=>[[[.,[.,.]],[.,[.,[[.,.],.]]]],.]
[3,2,7,1,6,4,5,8]=>[4,2,7,1,6,5,3,8]=>[8,3,5,6,1,7,2,4]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[6,3,1,7,5,4,2,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[9,8,3,4,5,6,7,1,2]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[6,2,8,7,3,4,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[9,4,5,6,7,8,2,1,3]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[10,9,3,4,5,6,7,8,1,2]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[7,2,9,8,3,4,5,6,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[7,3,4,8,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[9,5,6,7,8,2,1,3,4]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[7,3,6,8,4,5,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,3,9,4,5,6,7,2,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[10,4,5,6,7,8,9,2,1,3]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[5,6,2,8,3,1,7,4]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[1,7,4,8,3,5,6,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,2,4,8,3,1,6,7]=>[6,5,3,8,2,1,7,4]=>[4,7,1,2,8,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[8,7,3,5,4,1,6,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,4,5,1,8,6,2,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,1,5,7,6,3,2,4]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,8,6,7,5,3,2,4]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,8,3,1,6,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,1,5,3,7,6,2,4]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,4,8,7,3,5,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,1,4,2,3,5,7,8]=>[6,2,5,4,3,1,7,8]=>[8,7,1,3,4,5,2,6]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[6,5,1,8,3,7,4,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,1,4,3,8,6,5,2]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,5,4,1,7,3,2,6]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,5,3,8,1,7,6,2]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[4,7,6,3,2,8,5,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,7,6,3,8,2,4,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,8,4,7,1,2,5,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,3,7,6,8,4,5,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,1,5,7,2,8,3,4]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[1,8,7,2,5,6,3,4]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,8,2,6,7,4,3,5]=>[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[2,5,4,8,7,6,1,3]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[1,8,7,6,3,5,4,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,5,7,6,4,3,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,2,4,1,8,5,3,6]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[4,7,2,6,1,8,3,5]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[8,7,3,5,2,1,6,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,5,3,2,1,6,8,4]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,8,1,3,4,2,5,7]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[3,6,1,4,7,8,2,5]=>[7,8,3,4,5,6,1,2]=>[2,1,6,5,4,3,8,7]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]
[2,5,7,1,3,6,4,8]=>[4,7,6,1,5,3,2,8]=>[8,2,3,5,1,6,7,4]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[1,4,7,2,5,3,6,8]=>[1,6,7,4,5,2,3,8]=>[8,3,2,5,4,7,6,1]=>[[[[.,.],.],[[.,.],[[.,.],.]]],.]
[4,5,3,1,2,6,8,7]=>[5,4,3,2,1,6,8,7]=>[7,8,6,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]]
[4,5,1,3,8,2,6,7]=>[6,4,3,2,8,1,7,5]=>[5,7,1,8,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[4,1,5,3,2,7,6,8]=>[5,2,4,3,1,7,6,8]=>[8,6,7,1,3,4,2,5]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[7,3,5,1,4,2,6,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[2,4,3,6,7,1,5,8]=>[6,3,2,7,5,1,4,8]=>[8,4,1,5,7,2,3,6]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[7,3,5,2,1,6,4,8]=>[7,5,6,4,2,3,1,8]=>[8,1,3,2,4,6,5,7]=>[[.,[[.,.],[.,[[.,.],[.,.]]]]],.]
[4,6,5,2,1,3,7,8]=>[6,5,4,3,2,1,7,8]=>[8,7,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[2,5,6,1,4,3,7,8]=>[4,6,5,1,3,2,7,8]=>[8,7,2,3,1,5,6,4]=>[[[[.,.],[.,[[.,.],[.,.]]]],.],.]
[6,1,5,3,7,2,4,8]=>[7,2,6,4,5,3,1,8]=>[8,1,3,5,4,6,2,7]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[3,6,5,4,1,7,2,8]=>[7,5,4,3,2,6,1,8]=>[8,1,6,2,3,4,5,7]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[10,9,3,8,7,6,5,4,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,7,6,4,5,3,2,1,10,9]=>[8,7,6,5,4,3,2,1,10,9]=>[9,10,1,2,3,4,5,6,7,8]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]]
[10,9,8,6,5,4,7,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[6,8,7,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,6,8,7,3,2,4,5]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,7,5,4,6,1,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,7,8,2,4,6,3,5]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[7,5,4,8,1,3,6,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,6,1,8,4,3,7,2]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[1,8,2,6,7,5,4,3]=>[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[2,7,5,1,6,8,3,4]=>[4,8,7,1,5,6,3,2]=>[2,3,6,5,1,7,8,4]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[8,5,4,2,7,3,6,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,8,6,1,2,4,5,7]=>[5,8,7,4,1,6,3,2]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,8,5,3,2,7,4,6]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,8,4,7,2,3,5,6]=>[1,8,6,7,5,3,4,2]=>[2,4,3,5,7,6,8,1]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[3,2,8,1,7,5,4,6]=>[4,2,8,1,7,6,5,3]=>[3,5,6,7,1,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[3,4,5,2,1,6,7,8,9]=>[5,4,3,2,1,6,7,8,9]=>[9,8,7,6,1,2,3,4,5]=>[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.]
[6,5,1,7,2,3,4,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[1,6,8,2,7,3,4,5]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,6,8,7,3,4,2,5]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,1,3,6,7,8,5,2]=>[8,2,3,7,5,6,4,1]=>[1,4,6,5,7,3,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[7,4,1,5,6,8,3,2]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[4,1,2,6,7,8,5,3]=>[8,2,3,7,5,6,4,1]=>[1,4,6,5,7,3,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[3,6,7,8,9,1,2,4,5]=>[7,9,8,6,5,4,1,3,2]=>[2,3,1,4,5,6,8,9,7]=>[[.,.],[.,[.,[.,[.,[[.,.],[.,.]]]]]]]
[3,7,8,2,1,4,5,6]=>[5,8,7,4,1,6,3,2]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[6,3,7,1,8,2,4,5]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[2,1,4,3,10,9,7,5,6,8]=>[2,1,4,3,10,9,8,7,6,5]=>[5,6,7,8,9,10,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,8,7,5,3,4,6,10,9]=>[2,1,8,7,6,5,4,3,10,9]=>[9,10,3,4,5,6,7,8,1,2]=>[[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[2,1,10,7,5,9,4,3,6,8]=>[2,1,10,9,8,7,6,5,4,3]=>[3,4,5,6,7,8,9,10,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,1,10,9,4,6,7,3,5,8]=>[2,1,10,9,8,7,6,5,4,3]=>[3,4,5,6,7,8,9,10,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,3,7,2,1,4,6,10,9]=>[8,7,6,5,4,3,2,1,10,9]=>[9,10,1,2,3,4,5,6,7,8]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]]
[10,6,3,9,4,2,7,1,5,8]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,7,2,4,5,1,3,6,10,9]=>[8,7,6,5,4,3,2,1,10,9]=>[9,10,1,2,3,4,5,6,7,8]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]]
[10,7,2,4,5,9,3,1,6,8]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[10,9,7,4,2,6,3,1,5,8]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,1,8,4,9,6,2,3,5,7]=>[10,2,9,8,7,6,5,4,3,1]=>[1,3,4,5,6,7,8,9,2,10]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[2,1,4,3,6,5,12,11,9,7,8,10]=>[2,1,4,3,6,5,12,11,10,9,8,7]=>[7,8,9,10,11,12,5,6,3,4,1,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,4,3,10,9,7,5,6,8,12,11]=>[2,1,4,3,10,9,8,7,6,5,12,11]=>[11,12,5,6,7,8,9,10,3,4,1,2]=>[[[[.,[.,.]],[.,.]],[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[2,1,4,3,12,9,7,11,6,5,8,10]=>[2,1,4,3,12,11,10,9,8,7,6,5]=>[5,6,7,8,9,10,11,12,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,1,4,3,12,11,6,8,9,5,7,10]=>[2,1,4,3,12,11,10,9,8,7,6,5]=>[5,6,7,8,9,10,11,12,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,1,8,7,5,3,4,6,10,9,12,11]=>[2,1,8,7,6,5,4,3,10,9,12,11]=>[11,12,9,10,3,4,5,6,7,8,1,2]=>[[[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]],[.,.]],[.,.]]
[2,1,10,7,5,9,4,3,6,8,12,11]=>[2,1,10,9,8,7,6,5,4,3,12,11]=>[11,12,3,4,5,6,7,8,9,10,1,2]=>[[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]]
[2,1,12,8,5,11,6,4,9,3,7,10]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[3,4,5,6,7,8,9,10,11,12,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[2,1,10,9,4,6,7,3,5,8,12,11]=>[2,1,10,9,8,7,6,5,4,3,12,11]=>[11,12,3,4,5,6,7,8,9,10,1,2]=>[[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]]
[2,1,12,11,9,6,4,8,5,3,7,10]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[3,4,5,6,7,8,9,10,11,12,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[6,5,3,1,2,4,8,7,10,9,12,11]=>[6,5,4,3,2,1,8,7,10,9,12,11]=>[11,12,9,10,7,8,1,2,3,4,5,6]=>[[[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]],[.,.]],[.,.]]
[6,5,3,1,2,4,12,11,9,7,8,10]=>[6,5,4,3,2,1,12,11,10,9,8,7]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,[.,[.,.]]]]]]
[8,5,3,7,2,1,4,6,10,9,12,11]=>[8,7,6,5,4,3,2,1,10,9,12,11]=>[11,12,9,10,1,2,3,4,5,6,7,8]=>[[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]],[.,.]]
[10,6,3,9,4,2,7,1,5,8,12,11]=>[10,9,8,7,6,5,4,3,2,1,12,11]=>[11,12,1,2,3,4,5,6,7,8,9,10]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],[.,.]]
[8,7,2,4,5,1,3,6,10,9,12,11]=>[8,7,6,5,4,3,2,1,10,9,12,11]=>[11,12,9,10,1,2,3,4,5,6,7,8]=>[[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]],[.,.]]
[10,9,7,4,2,6,3,1,5,8,12,11]=>[10,9,8,7,6,5,4,3,2,1,12,11]=>[11,12,1,2,3,4,5,6,7,8,9,10]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],[.,.]]
[12,11,8,4,9,6,2,3,5,1,7,10]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,11,9,3,5,6,2,8,4,1,7,10]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[1,5,4,7,8,3,6,2]=>[1,8,6,7,5,3,4,2]=>[2,4,3,5,7,6,8,1]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[5,2,4,7,8,3,6,1]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[5,1,4,7,8,3,6,2]=>[8,2,6,7,5,3,4,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[4,8,1,5,6,2,3,7]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[5,6,4,1,7,3,8,2]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[4,3,7,8,2,5,1,6]=>[7,5,8,6,2,4,1,3]=>[3,1,4,2,6,8,5,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[3,7,8,5,4,2,1,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[1,7,4,5,6,8,3,2]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[7,2,4,5,6,8,3,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,7,4,5,6,8,3,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,4,7,8,3,1,6,5]=>[6,5,8,7,2,1,4,3]=>[3,4,1,2,7,8,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]
[5,4,3,6,8,1,7,2]=>[8,6,3,4,7,2,5,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[3,7,4,5,8,1,6,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,6,1,7,3,2,8,5]=>[6,8,3,5,4,1,7,2]=>[2,7,1,4,5,3,8,6]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[4,7,3,5,1,2,8,6]=>[6,8,5,4,3,1,7,2]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[1,6,4,2,3,5,8,7]=>[1,6,5,4,3,2,8,7]=>[7,8,2,3,4,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]
[4,8,3,5,2,1,6,7]=>[6,8,5,4,3,1,7,2]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[10,9,7,6,5,4,3,8,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[1,6,8,4,7,5,3,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,7,3,1,5,2,6,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,7,1,6,8,2,3,5]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[4,6,5,8,2,3,7,1]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[7,1,8,2,4,5,3,6]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[5,7,8,2,3,4,1,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[5,2,3,8,7,1,4,6]=>[7,6,3,8,5,2,1,4]=>[4,1,2,5,8,3,6,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[11,10,9,8,6,7,5,4,3,2,1]=>[11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]
[8,7,1,3,2,6,4,5]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[2,7,6,4,8,3,1,5]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[2,6,3,7,5,8,4,1]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[7,5,1,2,3,8,4,6]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[8,6,2,1,3,7,4,5]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[4,2,3,6,8,5,7,1]=>[8,3,2,6,7,4,5,1]=>[1,5,4,7,6,2,3,8]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]
[4,7,3,2,6,5,1,8]=>[7,6,4,3,5,2,1,8]=>[8,1,2,5,3,4,6,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[4,3,7,8,2,1,6,5]=>[6,5,8,7,2,1,4,3]=>[3,4,1,2,7,8,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]
[4,8,7,2,1,5,6,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,3,8,2,5,1,6,4]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[4,5,3,8,6,1,2,7]=>[7,6,3,8,5,2,1,4]=>[4,1,2,5,8,3,6,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[6,3,5,8,4,1,2,7]=>[7,6,5,8,3,2,1,4]=>[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[7,3,8,4,5,1,2,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,7,5,1,2,6,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,4,6,1,3,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,7,5,1,3,6,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,6,2,1,4,3,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,6,3,1,2,5,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,7,6,4,1,5,2,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,3,1,2,8,6,5,4]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[8,7,1,3,2,4,5,6]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[4,1,3,6,5,7,2,8]=>[7,2,3,5,4,6,1,8]=>[8,1,6,4,5,3,2,7]=>[[.,[[[[.,.],.],[.,.]],[.,.]]],.]
[4,1,3,5,7,2,8,6]=>[6,2,3,4,8,1,7,5]=>[5,7,1,8,4,3,2,6]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]
[5,1,8,2,4,6,3,7]=>[7,2,8,4,5,6,1,3]=>[3,1,6,5,4,8,2,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[6,8,2,1,4,5,3,7]=>[7,8,4,3,6,5,1,2]=>[2,1,5,6,3,4,8,7]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]
[4,2,7,3,6,8,5,1]=>[8,4,7,2,5,6,3,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[3,1,5,8,6,7,2,4]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[6,8,2,1,4,5,7,3]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[2,1,4,3,10,9,6,5,8,7]=>[2,1,4,3,10,9,8,7,6,5]=>[5,6,7,8,9,10,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,10,7,4,9,6,3,8,5]=>[2,1,10,9,8,7,6,5,4,3]=>[3,4,5,6,7,8,9,10,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,1,10,9,4,3,6,7,8,5]=>[2,1,10,9,6,5,8,7,4,3]=>[3,4,7,8,5,6,9,10,1,2]=>[[.,[.,.]],[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[6,5,2,1,4,3,8,7,10,9]=>[6,5,4,3,2,1,8,7,10,9]=>[9,10,7,8,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]],[.,.]]
[8,5,2,7,4,1,6,3,10,9]=>[8,7,6,5,4,3,2,1,10,9]=>[9,10,1,2,3,4,5,6,7,8]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]]
[10,5,2,7,4,9,6,1,8,3]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[8,7,2,1,4,5,6,3,10,9]=>[8,7,4,3,6,5,2,1,10,9]=>[9,10,1,2,5,6,3,4,7,8]=>[[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]],[.,.]]
[10,7,2,9,4,5,6,1,8,3]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,2,1,8,5,4,7,6,3]=>[10,9,4,3,8,7,6,5,2,1]=>[1,2,5,6,7,8,3,4,9,10]=>[.,[.,[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]]]
[10,9,6,3,2,5,4,1,8,7]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[2,1,4,3,6,5,12,11,8,7,10,9]=>[2,1,4,3,6,5,12,11,10,9,8,7]=>[7,8,9,10,11,12,5,6,3,4,1,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,4,3,10,9,6,5,8,7,12,11]=>[2,1,4,3,10,9,8,7,6,5,12,11]=>[11,12,5,6,7,8,9,10,3,4,1,2]=>[[[[.,[.,.]],[.,.]],[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[2,1,4,3,12,9,6,11,8,5,10,7]=>[2,1,4,3,12,11,10,9,8,7,6,5]=>[5,6,7,8,9,10,11,12,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,1,4,3,12,11,6,5,8,9,10,7]=>[2,1,4,3,12,11,8,7,10,9,6,5]=>[5,6,9,10,7,8,11,12,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[2,1,8,7,4,3,6,5,10,9,12,11]=>[2,1,8,7,6,5,4,3,10,9,12,11]=>[11,12,9,10,3,4,5,6,7,8,1,2]=>[[[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]],[.,.]],[.,.]]
[2,1,10,7,4,9,6,3,8,5,12,11]=>[2,1,10,9,8,7,6,5,4,3,12,11]=>[11,12,3,4,5,6,7,8,9,10,1,2]=>[[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]]
[2,1,10,9,4,3,6,7,8,5,12,11]=>[2,1,10,9,6,5,8,7,4,3,12,11]=>[11,12,3,4,7,8,5,6,9,10,1,2]=>[[[.,[.,.]],[.,[[.,[.,.]],[.,[.,[.,.]]]]]],[.,.]]
[2,1,12,9,4,11,6,7,8,3,10,5]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[3,4,5,6,7,8,9,10,11,12,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[2,1,12,11,4,3,10,7,6,9,8,5]=>[2,1,12,11,6,5,10,9,8,7,4,3]=>[3,4,7,8,9,10,5,6,11,12,1,2]=>[[.,[.,.]],[.,[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]]]
[6,5,2,1,4,3,8,7,10,9,12,11]=>[6,5,4,3,2,1,8,7,10,9,12,11]=>[11,12,9,10,7,8,1,2,3,4,5,6]=>[[[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]],[.,.]],[.,.]]
[8,5,2,7,4,1,6,3,10,9,12,11]=>[8,7,6,5,4,3,2,1,10,9,12,11]=>[11,12,9,10,1,2,3,4,5,6,7,8]=>[[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]],[.,.]]
[8,7,2,1,4,5,6,3,10,9,12,11]=>[8,7,4,3,6,5,2,1,10,9,12,11]=>[11,12,9,10,1,2,5,6,3,4,7,8]=>[[[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]],[.,.]],[.,.]]
[10,7,2,9,4,5,6,1,8,3,12,11]=>[10,9,8,7,6,5,4,3,2,1,12,11]=>[11,12,1,2,3,4,5,6,7,8,9,10]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],[.,.]]
[10,9,2,1,8,5,4,7,6,3,12,11]=>[10,9,4,3,8,7,6,5,2,1,12,11]=>[11,12,1,2,5,6,7,8,3,4,9,10]=>[[.,[.,[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]]],[.,.]]
[12,9,2,11,8,5,4,7,6,1,10,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,11,2,1,8,5,10,7,4,9,6,3]=>[12,11,4,3,10,9,8,7,6,5,2,1]=>[1,2,5,6,7,8,9,10,3,4,11,12]=>[.,[.,[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[12,11,2,1,10,5,6,7,4,9,8,3]=>[12,11,4,3,10,9,8,7,6,5,2,1]=>[1,2,5,6,7,8,9,10,3,4,11,12]=>[.,[.,[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[12,11,2,1,4,9,6,5,8,7,10,3]=>[12,11,4,3,10,9,8,7,6,5,2,1]=>[1,2,5,6,7,8,9,10,3,4,11,12]=>[.,[.,[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[12,11,6,3,8,5,2,7,4,1,10,9]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[4,3,1,2,6,5,7,8]=>[4,3,2,1,6,5,7,8]=>[8,7,5,6,1,2,3,4]=>[[[[.,[.,[.,[.,.]]]],[.,.]],.],.]
[7,1,4,5,8,3,6,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,5,8,1,2,4,6,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,1,5,2,8,7,4,3]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,4,6,3,1,2,7,5]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[3,8,6,4,1,5,7,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,1,4,5,2,3,6]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,8,6,4,5,1,7,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,7,6,4,5,1,2,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,4,6,3,1,2,8,5]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,6,2,5,7,8,1,3]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[4,6,3,5,7,1,2,8]=>[7,6,4,3,5,2,1,8]=>[8,1,2,5,3,4,6,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[4,7,3,5,8,6,1,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,8,3,5,7,1,6,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,8,3,5,6,1,2,7]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[4,7,2,5,6,8,1,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,8,2,5,6,7,1,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,4,7,2,6,5,8,3]=>[1,8,6,4,5,3,7,2]=>[2,7,3,5,4,6,8,1]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[1,5,7,2,6,4,8,3]=>[1,8,6,4,5,3,7,2]=>[2,7,3,5,4,6,8,1]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[7,2,4,6,1,8,3,5]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[1,2,7,8,3,5,4,6]=>[1,2,8,7,5,6,4,3]=>[3,4,6,5,7,8,2,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[1,7,6,2,8,5,4,3]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,2,7,8,3,4,6,5]=>[1,2,8,7,5,6,4,3]=>[3,4,6,5,7,8,2,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[1,7,6,8,3,4,2,5]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,4,1,7,8,6,5,2]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[2,4,8,6,5,7,1,3]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[8,7,3,6,1,4,2,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,5,1,8,3,4,7,2]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[8,2,1,5,6,4,7,3]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[7,5,6,1,3,4,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,7,2,4,6,1,8,3]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[2,1,5,6,3,8,7,4]=>[2,1,8,5,4,7,6,3]=>[3,6,7,4,5,8,1,2]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[3,2,7,5,8,6,4,1]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,4,5,3,8,1,7,6]=>[6,4,3,2,8,1,7,5]=>[5,7,1,8,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[7,2,5,4,3,8,6,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,5,3,1,2,6,7,4]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,2,5,1,3,6,8,4]=>[8,4,6,2,5,3,7,1]=>[1,7,3,5,2,6,4,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[8,4,7,3,1,2,6,5]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[1,8,7,3,5,2,6,4]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,4,8,3,6,5,7,1]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[3,1,8,2,6,5,7,4]=>[4,2,8,1,7,6,5,3]=>[3,5,6,7,1,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[4,6,7,8,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,7,2,1,8,6,5,3]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[5,6,2,8,4,1,7,3]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[5,7,2,4,8,6,1,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,7,2,4,8,5,1,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,7,3,2,8,5,1,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,2,3,1,8,6,5,4]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[7,2,8,3,5,6,1,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,2,3,8,4,6,1,5]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,7,3,4,8,5,2,6]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,7,3,8,5,4,2,6]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,2,8,4,5,3,1,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,8,6,4,3,1,7,5]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[1,3,8,4,2,5,7,6]=>[1,5,8,4,2,6,7,3]=>[3,7,6,2,4,8,5,1]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]
[1,8,4,6,7,2,3,5]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,4,2,3,7,8,6,5]=>[1,4,3,2,8,7,6,5]=>[5,6,7,8,2,3,4,1]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]
[5,7,1,6,4,8,3,2]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[7,4,5,8,1,3,6,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,4,3,6,2,5,8,7]=>[1,5,3,6,2,4,8,7]=>[7,8,4,2,6,3,5,1]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]
[1,4,6,3,2,5,8,7]=>[1,5,6,4,2,3,8,7]=>[7,8,3,2,4,6,5,1]=>[[[[.,.],.],[.,[[.,.],.]]],[.,.]]
[1,3,6,5,8,2,4,7]=>[1,6,7,4,8,2,3,5]=>[5,3,2,8,4,7,6,1]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]
[6,8,4,1,5,7,2,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,2,6,7,4,1,8,3]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,5,6,4,1,7,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,3,1,6,4,5,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,8,2,6,3,1,7,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,5,8,1,6,3,7,2]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[8,1,4,6,2,5,7,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,5,8,1,6,2,7,3]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[5,2,6,8,1,4,3,7]=>[7,5,6,8,2,3,1,4]=>[4,1,3,2,8,6,5,7]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]
[6,7,3,8,2,1,4,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,7,3,5,4,1,8,6]=>[6,8,3,5,4,1,7,2]=>[2,7,1,4,5,3,8,6]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[2,6,3,7,4,1,8,5]=>[6,8,3,5,4,1,7,2]=>[2,7,1,4,5,3,8,6]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[2,7,3,8,4,1,6,5]=>[6,8,3,7,5,1,4,2]=>[2,4,1,5,7,3,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[5,3,8,1,4,6,2,7]=>[7,5,8,4,2,6,1,3]=>[3,1,6,2,4,8,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[4,5,8,1,3,6,2,7]=>[7,5,8,4,2,6,1,3]=>[3,1,6,2,4,8,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[7,4,6,5,2,8,3,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,1,3,8,5,7,6,2]=>[8,2,3,7,5,6,4,1]=>[1,4,6,5,7,3,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[4,1,3,7,2,8,6,5]=>[5,2,3,8,1,7,6,4]=>[4,6,7,1,8,3,2,5]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]
[4,6,3,1,7,2,8,5]=>[6,8,4,3,5,1,7,2]=>[2,7,1,5,3,4,8,6]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]
[7,2,6,3,1,8,5,4]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[4,8,7,2,5,3,1,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[2,8,1,7,5,4,6,3]=>[3,8,1,7,6,5,4,2]=>[2,4,5,6,7,1,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[6,8,3,1,5,7,2,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,7,3,1,2,5,6,4]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,4,5,1,2,6,8,3]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,4,3,6,1,7,8,2]=>[8,5,3,4,2,6,7,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]
[3,2,7,8,5,6,1,4]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[4,8,3,2,1,7,5,6]=>[5,8,4,3,1,7,6,2]=>[2,6,7,1,3,4,8,5]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[5,1,2,6,4,7,8,3]=>[8,2,3,5,4,6,7,1]=>[1,7,6,4,5,3,2,8]=>[.,[[[[[.,.],.],[.,.]],.],[.,.]]]
[1,9,8,7,6,4,3,2,5]=>[1,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,9,8,7,5,4,3,2,6]=>[1,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,9,8,6,5,4,3,2,7]=>[1,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,9,7,6,5,4,3,2,8]=>[1,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,9,8,7,6,5,2,3,4]=>[1,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,10,9,8,7,6,5,3,2,4]=>[1,10,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[1,9,8,7,6,3,4,2,5]=>[1,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,10,9,8,7,6,4,3,2,5]=>[1,10,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[1,9,8,7,4,5,3,2,6]=>[1,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,10,9,8,7,5,4,3,2,6]=>[1,10,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[1,9,8,5,6,4,3,2,7]=>[1,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,10,9,8,6,5,4,3,2,7]=>[1,10,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[1,8,4,5,6,3,2,7]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,9,6,7,5,4,3,2,8]=>[1,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,10,9,7,6,5,4,3,2,8]=>[1,10,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[1,7,8,6,5,4,3,2,9]=>[1,8,7,6,5,4,3,2,9]=>[9,2,3,4,5,6,7,8,1]=>[[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,10,8,7,6,5,4,3,2,9]=>[1,10,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[4,7,6,1,5,8,2,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,5,1,7,4,6,3,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,4,8,1,6,7,2,5]=>[7,4,8,2,6,5,1,3]=>[3,1,5,6,2,8,4,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[3,6,7,8,4,1,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,3,7,8,4,6,1,5]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[1,3,7,8,4,6,2,5]=>[1,7,8,6,5,4,2,3]=>[3,2,4,5,6,8,7,1]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[3,1,7,8,4,6,2,5]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[4,3,8,1,6,7,2,5]=>[7,4,8,2,6,5,1,3]=>[3,1,5,6,2,8,4,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[4,8,7,3,6,1,2,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[5,8,4,3,7,1,2,6]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[2,4,8,3,6,7,1,5]=>[7,4,8,2,6,5,1,3]=>[3,1,5,6,2,8,4,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[1,6,5,8,7,3,2,4]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,4,8,7,2,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,2,6,8,3,5,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,2,8,6,5,3,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,3,7,6,1,2,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[2,8,4,7,1,3,6,5]=>[5,8,6,7,1,3,4,2]=>[2,4,3,1,7,6,8,5]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]
[7,8,9,2,3,4,5,1,6]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[6,7,8,9,2,3,4,1,5]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[5,6,7,8,9,2,3,1,4]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[8,9,10,2,3,4,5,6,1,7]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[7,8,9,2,3,4,1,5,6]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[7,8,9,10,2,3,4,5,1,6]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[6,7,8,9,2,3,1,4,5]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[5,6,7,8,9,10,2,3,1,4]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[6,8,3,4,5,2,1,7]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[3,7,1,4,5,6,2,8]=>[7,6,3,4,5,2,1,8]=>[8,1,2,5,4,3,6,7]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[7,9,3,4,5,6,2,1,8]=>[8,9,7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7,9,8]=>[[.,.],[.,[.,[.,[.,[.,[[.,.],.]]]]]]]
[3,6,1,4,5,2,7,8]=>[6,5,3,4,2,1,7,8]=>[8,7,1,2,4,3,5,6]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[3,8,2,4,5,1,7,6]=>[6,8,3,4,5,1,7,2]=>[2,7,1,5,4,3,8,6]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]
[3,6,8,1,5,4,7,2]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[1,7,4,6,3,5,2,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[1,3,6,5,7,2,4,8]=>[1,6,7,4,5,2,3,8]=>[8,3,2,5,4,7,6,1]=>[[[[.,.],.],[[.,.],[[.,.],.]]],.]
[1,6,8,5,4,3,7,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,5,7,8,4,3,1,6]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[6,8,5,3,2,4,1,7]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[1,6,8,5,3,2,7,4]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,6,1,8,7,5,3,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,3,7,6,8,5,2,4]=>[1,7,8,6,5,4,2,3]=>[3,2,4,5,6,8,7,1]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[4,1,7,8,6,5,2,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,4,3,7,6,1,2,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[4,7,6,1,2,3,8,5]=>[6,8,5,4,3,1,7,2]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[4,5,2,6,7,8,1,3]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[2,8,7,6,5,4,3,1,9]=>[8,7,6,5,4,3,2,1,9]=>[9,1,2,3,4,5,6,7,8]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[2,1,4,9,8,7,6,5,3]=>[2,1,9,8,7,6,5,4,3]=>[3,4,5,6,7,8,9,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,7,6,5,4,2,1,9,8]=>[7,6,5,4,3,2,1,9,8]=>[8,9,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]
[3,2,1,6,9,8,7,5,4]=>[3,2,1,9,8,7,6,5,4]=>[4,5,6,7,8,9,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]]
[4,6,5,3,2,1,9,8,7]=>[6,5,4,3,2,1,9,8,7]=>[7,8,9,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]]
[1,7,6,2,3,8,5,4]=>[1,8,7,4,5,6,3,2]=>[2,3,6,5,4,7,8,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[7,2,3,8,6,4,5,1]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,5,4,3,8,6,2,7]=>[1,7,4,3,8,6,2,5]=>[5,2,6,8,3,4,7,1]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]
[1,3,7,5,8,4,6,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,8,1,5,3,4,6,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,3,5,4,1,6,2,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[3,5,7,1,6,4,2,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[3,7,5,6,1,4,2,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,1,3,7,8,2,6,4]=>[8,2,6,7,5,3,4,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[5,8,1,2,7,6,4,3]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[1,6,7,4,5,3,2,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[1,8,2,4,6,5,3,7]=>[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,4,8,7,2,3,6,5]=>[1,6,8,7,5,2,4,3]=>[3,4,2,5,7,8,6,1]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]
[4,1,3,6,5,8,2,7]=>[7,2,3,5,4,8,1,6]=>[6,1,8,4,5,3,2,7]=>[[.,[[[.,.],.],[.,.]]],[[.,.],.]]
[4,3,7,1,5,8,2,6]=>[7,4,8,2,5,6,1,3]=>[3,1,6,5,2,8,4,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[1,8,6,5,2,7,4,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,6,2,7,4,3,5]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[7,2,6,4,1,8,5,3]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[6,4,1,8,3,7,5,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,5,8,7,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,5,4,1,7,8,6,2]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[6,8,7,2,1,5,4,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,9,8,7,6,5,2,1,3]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[5,9,8,7,6,2,1,4,3]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[6,9,8,7,2,1,5,4,3]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[8,1,6,3,7,5,4,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,5,1,3,7,6,4,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,3,6,5,4,2,1,7]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,1,3,5,7,2,8,4]=>[8,2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[2,8,1,5,6,4,3,7]=>[3,8,1,7,6,5,4,2]=>[2,4,5,6,7,1,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,6,7,5,8,4,2,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,1,6,5,2,8,3]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[7,4,2,8,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,4,7,3,2,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,7,3,2,1,6,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,7,2,6,4,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,7,3,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,2,5,6,8,3,4,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,6,5,7,8,3,2,4]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,6,7,2,3,5,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,4,8,6,7,3,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,2,7,3,1,6,8,5]=>[5,4,8,2,1,6,7,3]=>[3,7,6,1,2,8,4,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[7,3,6,4,2,1,8,5]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,8,5,2,7,3,1,6]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[6,4,3,1,8,5,2,7]=>[7,6,4,3,8,2,1,5]=>[5,1,2,8,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[7,4,3,1,5,8,6,2]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[7,4,8,6,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,5,2,6,7,3,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,3,2,1,8,5,6,4]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[9,1,2,3,4,5,7,6,8]=>[9,2,3,4,5,6,8,7,1]=>[1,7,8,6,5,4,3,2,9]=>[.,[[[[[[.,.],.],.],.],.],[.,[.,.]]]]
[1,5,7,2,4,3,8,6]=>[1,6,8,4,5,2,7,3]=>[3,7,2,5,4,8,6,1]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]
[1,2,7,5,8,4,3,6]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[5,1,3,8,2,7,4,6]=>[7,2,5,8,3,6,1,4]=>[4,1,6,3,8,5,2,7]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[5,7,1,3,2,8,4,6]=>[7,8,3,5,4,6,1,2]=>[2,1,6,4,5,3,8,7]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[7,1,6,3,2,8,4,5]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[8,1,7,2,3,6,5,4]=>[8,2,7,4,5,6,3,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[1,4,7,8,3,2,5,6]=>[1,6,8,7,5,2,4,3]=>[3,4,2,5,7,8,6,1]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]
[8,7,1,3,2,4,6,5]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[8,1,6,3,2,4,7,5]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[1,8,2,7,6,3,5,4]=>[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[8,1,6,3,2,7,4,5]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[8,2,1,7,6,3,4,5]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[6,8,4,3,5,1,2,7]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[8,7,3,5,4,1,2,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,3,8,5,7,2,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,3,6,4,1,2,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,2,7,4,6,1,3,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,7,2,3,5,1,4,6]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,6,3,4,1,8,2,5]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,3,5,2,8,1,4,7]=>[7,6,4,3,8,2,1,5]=>[5,1,2,8,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[6,4,5,3,1,7,2,8]=>[7,5,4,3,2,6,1,8]=>[8,1,6,2,3,4,5,7]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[8,7,2,4,3,1,5,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,2,3,1,4,8,5]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,7,6,2,3,1,5,8]=>[6,7,5,4,3,1,2,8]=>[8,2,1,3,4,5,7,6]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[4,7,6,1,3,2,8,5]=>[6,8,5,4,3,1,7,2]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[7,2,6,5,4,3,1,9,8]=>[7,6,5,4,3,2,1,9,8]=>[8,9,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]
[3,2,1,9,5,8,7,6,4]=>[3,2,1,9,8,7,6,5,4]=>[4,5,6,7,8,9,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]]
[6,3,5,4,2,1,9,8,7]=>[6,5,4,3,2,1,9,8,7]=>[7,8,9,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]]
[4,3,2,1,9,7,8,6,5]=>[4,3,2,1,9,8,7,6,5]=>[5,6,7,8,9,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]]
[2,6,3,4,7,8,5,1]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[7,6,3,1,8,5,2,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,2,1,3,6,8,5,4]=>[8,3,2,4,7,6,5,1]=>[1,5,6,7,4,2,3,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[7,6,3,8,1,5,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,6,4,7,8,5,3,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,2,5,8,6,1,3,4]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[4,1,3,6,2,5,8,7]=>[5,2,3,6,1,4,8,7]=>[7,8,4,1,6,3,2,5]=>[[[.,[[.,.],.]],[[.,.],.]],[.,.]]
[7,4,5,8,6,2,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,2,3,8,4,1,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,7,8,1,5,4,3,6]=>[4,8,7,1,6,5,3,2]=>[2,3,5,6,1,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,5,2,6,8,7,4,3]=>[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,8,3,7,5,2,6,4]=>[1,8,6,7,5,3,4,2]=>[2,4,3,5,7,6,8,1]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[8,1,3,6,5,2,7,4]=>[8,2,6,7,5,3,4,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[7,1,3,8,5,2,6,4]=>[8,2,6,7,5,3,4,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[4,7,1,5,2,6,8,3]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[7,4,1,5,2,6,8,3]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[8,6,2,4,5,1,7,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,7,5,2,1,4,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,1,4,5,2,6,8,3]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[4,1,6,2,3,8,7,5]=>[5,2,8,4,1,7,6,3]=>[3,6,7,1,4,8,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[4,1,7,6,5,2,8,3]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[8,4,1,5,6,2,7,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,4,5,3,6,1,7,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,8,4,7,3,5,6,1]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[1,5,4,8,3,2,6,7]=>[1,6,5,8,3,2,7,4]=>[4,7,2,3,8,5,6,1]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[1,5,7,6,3,8,2,4]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[2,6,3,1,7,8,4,5]=>[4,8,3,1,7,6,5,2]=>[2,5,6,7,1,3,8,4]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[2,1,7,8,3,5,4,6]=>[2,1,8,7,5,6,4,3]=>[3,4,6,5,7,8,1,2]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[1,5,8,6,7,4,2,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,7,1,3,5,2,6,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,7,8,2,5,4,1,6]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[4,7,6,5,8,1,3,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,7,8,6,2,1,5,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,6,3,2,1,7,5]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[5,1,4,7,6,8,3,2]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[5,6,4,7,1,8,3,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,3,7,4,6,1,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,1,5,7,8,6,3,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,6,7,1,5,4,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,6,4,7,5,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,1,7,3,2,4,5,6]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[6,4,7,1,5,2,8,3]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,8,1,3,5,2,7,6]=>[6,8,3,4,5,1,7,2]=>[2,7,1,5,4,3,8,6]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]
[1,6,5,2,8,7,4,3]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,3,2,5,4,6,7,8,9]=>[1,3,2,5,4,6,7,8,9]=>[9,8,7,6,4,5,2,3,1]=>[[[[[[[.,.],[.,.]],[.,.]],.],.],.],.]
[4,1,7,2,5,8,3,6]=>[7,2,8,4,5,6,1,3]=>[3,1,6,5,4,8,2,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[3,2,5,8,6,1,7,4]=>[6,2,8,7,5,1,4,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[4,5,1,7,2,8,6,3]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[2,8,5,3,6,7,4,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,3,5,2,6,7,4,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,8,6,3,4,7,5,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,7,1,8,5,3,6,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,4,7,2,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,1,4,3,6,8,2,5]=>[8,2,7,4,5,6,3,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[7,1,3,8,5,4,2,6]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,8,7,3,5,1,6,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,3,8,7,1,6,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,4,1,6,2,8,7,5]=>[5,3,2,8,1,7,6,4]=>[4,6,7,1,8,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[5,2,6,7,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,5,1,6,4,3,2,7]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,6,3,5,2,7,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,6,2,1,5,7,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,2,1,6,4,7,3]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[1,7,2,8,5,4,6,3]=>[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[6,7,1,4,8,5,3,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,3,2,8,5,1,4,6]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[4,1,7,3,2,8,5,6]=>[5,2,8,4,1,7,6,3]=>[3,6,7,1,4,8,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[8,3,5,2,4,7,1,6]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,3,7,8,6,1,5,2]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[1,2,6,3,7,8,5,4]=>[1,2,8,4,7,6,5,3]=>[3,5,6,7,4,8,2,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[6,1,3,7,8,5,4,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,6,8,5,4,2,1,7]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[2,6,4,7,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,6,3,7,2,8,4,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,5,1,8,6,2,7,3]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[5,6,1,8,7,2,3,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,5,1,6,8,7,3,2]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[3,2,8,1,5,6,4,7]=>[4,2,8,1,7,6,5,3]=>[3,5,6,7,1,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[5,8,7,3,2,1,4,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[1,8,7,2,5,6,4,3]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[7,6,1,2,5,8,4,3]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[3,4,7,1,5,8,2,6]=>[7,4,8,2,5,6,1,3]=>[3,1,6,5,2,8,4,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[4,2,7,1,5,8,3,6]=>[7,4,8,2,5,6,1,3]=>[3,1,6,5,2,8,4,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[2,4,6,3,5,1,7,8]=>[6,4,5,2,3,1,7,8]=>[8,7,1,3,2,5,4,6]=>[[[.,[[.,.],[[.,.],[.,.]]]],.],.]
[4,1,6,2,5,8,3,7]=>[7,2,5,4,3,8,1,6]=>[6,1,8,3,4,5,2,7]=>[[.,[[.,.],[.,[.,.]]]],[[.,.],.]]
[1,8,2,5,7,3,4,6]=>[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,4,6,3,8,5,2,7]=>[1,7,6,4,8,3,2,5]=>[5,2,3,8,4,6,7,1]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]
[4,5,6,3,1,7,2,8]=>[7,5,4,3,2,6,1,8]=>[8,1,6,2,3,4,5,7]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[3,4,6,2,5,1,7,8]=>[6,4,5,2,3,1,7,8]=>[8,7,1,3,2,5,4,6]=>[[[.,[[.,.],[[.,.],[.,.]]]],.],.]
[1,4,6,5,8,2,3,7]=>[1,7,6,4,8,3,2,5]=>[5,2,3,8,4,6,7,1]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]
[1,4,5,3,7,2,6,8]=>[1,6,4,3,7,2,5,8]=>[8,5,2,7,3,4,6,1]=>[[[[.,.],[.,[.,.]]],[[.,.],.]],.]
[2,5,7,6,8,3,4,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,1,6,7,2,8,5,4]=>[5,2,8,7,1,6,4,3]=>[3,4,6,1,7,8,2,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[6,5,1,3,8,4,7,2]=>[8,6,3,4,7,2,5,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[1,7,4,8,5,3,2,6]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,1,6,8,4,5,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,5,1,4,6,7,3,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,4,7,5,6,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,4,7,8,5,2,6,1]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[7,4,2,3,6,5,1,8]=>[7,6,4,3,5,2,1,8]=>[8,1,2,5,3,4,6,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[7,2,4,3,1,5,6,8]=>[7,5,4,3,2,6,1,8]=>[8,1,6,2,3,4,5,7]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[6,3,1,4,8,5,7,2]=>[8,6,3,4,7,2,5,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[6,3,5,4,8,7,1,2]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[4,8,1,7,5,6,3,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,5,7,2,8,4,6,3]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[5,8,7,2,3,6,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,6,5,1,2,3,7,8]=>[6,5,4,3,2,1,7,8]=>[8,7,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[1,8,7,5,2,6,3,4]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,7,4,5,6,2,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,7,3,6,4,2,5]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,4,7,5,8,2,6,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,4,7,2,3,6,5,8]=>[1,5,7,4,2,6,3,8]=>[8,3,6,2,4,7,5,1]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]
[6,8,3,2,7,5,1,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,3,6,8,1,2,5,4]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[4,1,5,7,2,6,3,8]=>[7,2,5,6,3,4,1,8]=>[8,1,4,3,6,5,2,7]=>[[.,[[[.,.],.],[[.,.],[.,.]]]],.]
[5,7,2,1,3,6,4,8]=>[7,6,4,3,5,2,1,8]=>[8,1,2,5,3,4,6,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[3,5,6,7,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,4,7,5,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,5,6,4,8,3,2,7]=>[1,7,6,4,8,3,2,5]=>[5,2,3,8,4,6,7,1]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]
[2,1,5,6,4,8,3,7]=>[2,1,7,5,4,8,3,6]=>[6,3,8,4,5,7,1,2]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]
[5,1,4,7,8,6,2,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,6,7,2,8,5,4,3]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[5,3,2,1,7,8,6,4]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[7,4,3,8,6,1,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,3,7,1,5,8,6,2]=>[8,4,7,2,5,6,3,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[8,2,4,5,3,1,7,6]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[1,4,3,2,7,5,8,6]=>[1,4,3,2,8,6,7,5]=>[5,7,6,8,2,3,4,1]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[4,8,7,2,6,1,3,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[4,5,8,2,1,7,3,6]=>[7,5,8,4,2,6,1,3]=>[3,1,6,2,4,8,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[6,8,4,1,7,3,2,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,6,4,3,2,1,7,8,9]=>[6,5,4,3,2,1,7,8,9]=>[9,8,7,1,2,3,4,5,6]=>[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.]
[5,6,4,3,2,1,7,8,9,10]=>[6,5,4,3,2,1,7,8,9,10]=>[10,9,8,7,1,2,3,4,5,6]=>[[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.],.]
[4,5,3,2,1,6,7,8,9]=>[5,4,3,2,1,6,7,8,9]=>[9,8,7,6,1,2,3,4,5]=>[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.]
[6,7,5,4,3,2,1,8,9,10]=>[7,6,5,4,3,2,1,8,9,10]=>[10,9,8,1,2,3,4,5,6,7]=>[[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.],.]
[6,7,4,3,2,1,5,8,9]=>[7,6,5,4,3,2,1,8,9]=>[9,8,1,2,3,4,5,6,7]=>[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.]
[7,5,4,3,1,2,6,8,9]=>[7,6,5,4,3,2,1,8,9]=>[9,8,1,2,3,4,5,6,7]=>[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.]
[6,7,9,8,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[7,6,8,9,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,11,10,8,7,6,5,4,3,2,1]=>[11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]
[7,8,10,9,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[6,7,5,9,8,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[5,7,9,8,6,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[7,6,8,5,9,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[6,5,8,9,7,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[8,7,9,10,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[6,3,1,8,2,7,5,4]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[6,4,1,3,2,5,7,8]=>[6,5,3,4,2,1,7,8]=>[8,7,1,2,4,3,5,6]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[4,1,7,8,3,2,5,6]=>[6,2,8,7,5,1,4,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[5,4,7,1,3,6,2,8]=>[7,5,6,4,2,3,1,8]=>[8,1,3,2,4,6,5,7]=>[[.,[[.,.],[.,[[.,.],[.,.]]]]],.]
[7,6,2,8,4,5,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,2,1,3,6,4,7]=>[7,8,4,3,5,6,1,2]=>[2,1,6,5,3,4,8,7]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]
[7,6,4,3,5,2,1,9,8]=>[7,6,5,4,3,2,1,9,8]=>[8,9,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]
[7,6,3,5,4,2,1,9,8]=>[7,6,5,4,3,2,1,9,8]=>[8,9,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]
[8,5,1,7,3,4,6,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,7,6,3,4,1,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,8,9,10,1,5,6,3,4,2]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[1,8,3,5,2,6,4,7]=>[1,8,5,7,3,6,4,2]=>[2,4,6,3,7,5,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[3,4,6,1,8,5,7,2]=>[8,4,6,2,7,3,5,1]=>[1,5,3,7,2,6,4,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[2,3,8,7,4,5,1,6]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[1,8,3,5,7,4,2,6]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,5,8,4,6,7,1,3]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[9,8,7,5,1,2,3,4,6]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,8,7,6,4,1,2,3,5]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,8,7,6,5,3,1,2,4]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[7,1,2,6,4,3,5,8]=>[7,2,3,6,5,4,1,8]=>[8,1,4,5,6,3,2,7]=>[[.,[[[.,.],.],[.,[.,[.,.]]]]],.]
[7,1,2,6,5,3,4,8]=>[7,2,3,6,5,4,1,8]=>[8,1,4,5,6,3,2,7]=>[[.,[[[.,.],.],[.,[.,[.,.]]]]],.]
[4,7,8,6,2,3,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,1,2,4,8,6,5,3]=>[8,2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[2,7,5,6,4,8,1,3]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[2,8,3,6,5,7,1,4]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[9,8,4,7,6,5,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,8,3,7,6,5,4,2,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,3,8,7,6,5,4,2,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,2,8,7,6,5,4,3,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[10,9,8,5,7,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,8,4,6,5,7,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[10,9,8,4,7,6,5,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,8,3,6,5,4,7,2,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[10,9,4,8,7,6,5,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,3,7,6,5,4,8,2,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,2,7,6,5,4,3,8,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[10,3,9,8,7,6,5,4,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,2,9,8,7,6,5,4,3,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[7,4,3,1,6,5,2,8]=>[7,6,4,3,5,2,1,8]=>[8,1,2,5,3,4,6,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[3,5,1,2,6,8,7,4]=>[4,8,3,1,5,7,6,2]=>[2,6,7,5,1,3,8,4]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]
[3,1,2,4,8,7,5,6]=>[3,2,1,4,8,7,6,5]=>[5,6,7,8,4,1,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]
[5,4,1,2,3,7,8,6]=>[5,4,3,2,1,8,7,6]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[1,6,7,2,5,8,3,4]=>[1,8,7,4,5,6,3,2]=>[2,3,6,5,4,7,8,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[7,8,5,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,3,8,6,2,4,1,7]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[2,7,4,6,3,8,1,5]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[5,4,7,8,6,2,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,7,4,8,3,1,5,6]=>[6,8,5,7,3,1,4,2]=>[2,4,1,3,7,5,8,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[8,2,1,3,7,4,6,5]=>[8,3,2,4,7,6,5,1]=>[1,5,6,7,4,2,3,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[6,5,8,2,3,4,7,1]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[7,8,2,3,6,4,5,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,1,2,7,5,3,4,6]=>[8,2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[4,2,8,1,3,7,5,6]=>[5,4,8,2,1,7,6,3]=>[3,6,7,1,2,8,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[7,5,1,8,2,3,4,6]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,2,4,1,3,7,5,6]=>[8,4,5,2,3,7,6,1]=>[1,6,7,3,2,5,4,8]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[8,1,6,2,3,7,4,5]=>[8,2,7,4,5,6,3,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[7,1,8,2,3,6,4,5]=>[8,2,7,4,5,6,3,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[4,2,6,7,5,1,8,3]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,7,2,5,3,8,1,6]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[3,5,7,4,2,8,1,6]=>[7,5,8,4,2,6,1,3]=>[3,1,6,2,4,8,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[2,4,7,6,3,8,1,5]=>[7,5,8,4,2,6,1,3]=>[3,1,6,2,4,8,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[4,6,8,5,1,2,3,7]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[4,6,5,7,1,2,3,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,6,5,7,1,3,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,4,7,6,1,8,2,5]=>[7,5,8,4,2,6,1,3]=>[3,1,6,2,4,8,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[8,5,2,1,6,3,4,7]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[7,1,8,5,3,2,4,6]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[9,10,2,1,6,4,3,5,7,8]=>[10,9,4,3,8,7,6,5,2,1]=>[1,2,5,6,7,8,3,4,9,10]=>[.,[.,[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]]]
[2,9,1,10,7,4,3,5,6,8]=>[3,10,1,9,8,7,6,5,4,2]=>[2,4,5,6,7,8,9,1,10,3]=>[[.,.],[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]
[10,8,5,2,1,6,3,4,7,9]=>[10,9,8,5,4,7,6,3,2,1]=>[1,2,3,6,7,4,5,8,9,10]=>[.,[.,[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]]]
[10,7,2,1,8,5,3,4,6,9]=>[10,9,4,3,8,7,6,5,2,1]=>[1,2,5,6,7,8,3,4,9,10]=>[.,[.,[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]]]
[9,2,1,10,7,5,3,4,6,8]=>[10,3,2,9,8,7,6,5,4,1]=>[1,4,5,6,7,8,9,2,3,10]=>[.,[[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]]]
[10,8,6,3,1,4,2,5,7,9]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[9,1,10,7,5,3,2,4,6,8]=>[10,2,9,8,7,6,5,4,3,1]=>[1,3,4,5,6,7,8,9,2,10]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,1,10,7,4,2,5,3,6,8]=>[10,2,9,8,7,6,5,4,3,1]=>[1,3,4,5,6,7,8,9,2,10]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[11,12,8,2,1,6,4,3,5,7,9,10]=>[12,11,10,5,4,9,8,7,6,3,2,1]=>[1,2,3,6,7,8,9,4,5,10,11,12]=>[.,[.,[.,[[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[11,12,2,1,9,6,4,3,5,7,8,10]=>[12,11,4,3,10,9,8,7,6,5,2,1]=>[1,2,5,6,7,8,9,10,3,4,11,12]=>[.,[.,[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,11,2,1,4,3,12,7,5,6,8,9]=>[12,11,4,3,6,5,10,9,8,7,2,1]=>[1,2,7,8,9,10,5,6,3,4,11,12]=>[.,[.,[[[.,[.,.]],[.,.]],[.,[.,[.,[.,[.,.]]]]]]]]
[12,10,8,5,2,1,6,3,4,7,9,11]=>[12,11,10,9,6,5,8,7,4,3,2,1]=>[1,2,3,4,7,8,5,6,9,10,11,12]=>[.,[.,[.,[.,[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]]]]]
[12,10,7,2,1,8,5,3,4,6,9,11]=>[12,11,10,5,4,9,8,7,6,3,2,1]=>[1,2,3,6,7,8,9,4,5,10,11,12]=>[.,[.,[.,[[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[12,9,2,1,10,7,5,3,4,6,8,11]=>[12,11,4,3,10,9,8,7,6,5,2,1]=>[1,2,5,6,7,8,9,10,3,4,11,12]=>[.,[.,[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[11,2,1,12,9,7,5,3,4,6,8,10]=>[12,3,2,11,10,9,8,7,6,5,4,1]=>[1,4,5,6,7,8,9,10,11,2,3,12]=>[.,[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,6,1,3,2,7,5,4]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[8,1,7,5,2,4,6,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,2,7,5,4,1,6,3]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[8,6,1,2,7,3,5,4]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[4,2,8,5,7,1,6,3]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[6,8,7,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,2,6,7,4,8,3,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,5,8,1,7,3,2,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,2,4,1,6,3,5,8]=>[7,4,6,2,5,3,1,8]=>[8,1,3,5,2,6,4,7]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[4,2,1,3,6,5,8,7,10,9]=>[4,3,2,1,6,5,8,7,10,9]=>[9,10,7,8,5,6,1,2,3,4]=>[[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]],[.,.]]
[2,6,1,5,3,4,8,7]=>[3,6,1,5,4,2,8,7]=>[7,8,2,4,5,1,6,3]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]
[3,8,7,5,4,2,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,7,8,2,3,6,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,8,7,3,1,4,5,6]=>[5,8,7,4,1,6,3,2]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[5,6,1,2,4,7,8,3]=>[8,5,3,4,2,6,7,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]
[9,8,4,5,7,6,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,8,5,4,6,7,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[10,9,8,6,5,7,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[11,10,9,8,5,7,6,4,3,2,1]=>[11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]
[10,9,8,4,5,7,6,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,8,4,5,3,7,6,2,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,8,3,5,7,6,4,2,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,8,5,4,6,3,7,2,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,8,4,3,6,7,5,2,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[10,9,8,5,4,6,7,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[11,10,9,8,6,5,7,4,3,2,1]=>[11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]
[3,8,6,7,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,5,1,4,6,2,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,2,7,5,4,6,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,7,6,3,1,2,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,6,7,1,3,2,8,5]=>[6,8,5,4,3,1,7,2]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[6,4,7,5,3,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,4,6,3,1,5,7,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,3,1,4,5,6,8,2]=>[8,6,3,4,5,2,7,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[6,7,3,4,2,1,8,5]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,4,8,3,1,5,7,2]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[7,4,2,3,5,1,8,6]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[3,1,6,5,2,4,8,7]=>[5,2,6,4,1,3,8,7]=>[7,8,3,1,4,6,2,5]=>[[[.,[.,.]],[.,[[.,.],.]]],[.,.]]
[2,5,3,8,6,4,1,7]=>[7,6,3,8,5,2,1,4]=>[4,1,2,5,8,3,6,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[6,7,1,5,4,3,2,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[5,8,4,1,3,2,7,6]=>[6,8,5,4,3,1,7,2]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[5,3,4,7,6,1,8,2]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[4,5,2,1,6,7,3,8]=>[7,4,3,2,5,6,1,8]=>[8,1,6,5,2,3,4,7]=>[[.,[[[.,[.,[.,.]]],.],[.,.]]],.]
[5,3,8,6,2,4,7,1]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[2,5,1,6,4,3,8,7]=>[3,6,1,5,4,2,8,7]=>[7,8,2,4,5,1,6,3]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]
[3,6,2,8,5,7,1,4]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[4,6,8,1,5,7,2,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,1,2,5,7,6,3,8]=>[7,2,3,4,6,5,1,8]=>[8,1,5,6,4,3,2,7]=>[[.,[[[[.,.],.],.],[.,[.,.]]]],.]
[4,6,5,8,1,7,3,2]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[2,1,3,6,4,8,7,5]=>[2,1,3,8,5,7,6,4]=>[4,6,7,5,8,3,1,2]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]
[4,8,1,2,7,5,6,3]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[1,6,4,3,8,7,5,2]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[4,5,1,6,8,7,2,3]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[3,4,7,2,5,8,6,1]=>[8,4,7,2,5,6,3,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[2,5,1,8,6,4,7,3]=>[3,8,1,7,6,5,4,2]=>[2,4,5,6,7,1,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[2,5,8,7,3,1,4,6]=>[6,7,8,5,4,1,2,3]=>[3,2,1,4,5,8,7,6]=>[[[.,.],.],[.,[.,[[[.,.],.],.]]]]
[9,8,7,4,3,2,1,5,6]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,8,7,6,3,2,1,4,5]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[8,4,5,1,6,7,2,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,4,7,3,1,5,2,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,5,1,8,3,6,4,7]=>[3,7,1,8,5,6,2,4]=>[4,2,6,5,8,1,7,3]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[5,8,4,7,3,2,1,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[5,6,8,4,2,7,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,3,8,6,1,2,5,7]=>[6,5,8,7,2,1,4,3]=>[3,4,1,2,7,8,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]
[4,8,6,5,7,1,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,2,3,5,6,8,4,1]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[5,8,1,3,4,7,2,6]=>[7,8,3,5,4,6,1,2]=>[2,1,6,4,5,3,8,7]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[8,3,4,2,7,6,1,5]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[8,7,5,6,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,4,2,3,6,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,2,3,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[7,2,4,5,3,1,6,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,6,3,1,4,5,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,7,4,6,2,1,8,5]=>[6,8,5,4,3,1,7,2]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[5,4,1,7,8,6,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,3,4,7,8,1,6,2]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[4,3,7,6,5,1,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,1,2,7,3,5,4,6]=>[8,2,3,7,5,6,4,1]=>[1,4,6,5,7,3,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[5,7,1,2,6,3,4,8]=>[7,6,3,4,5,2,1,8]=>[8,1,2,5,4,3,6,7]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[1,2,7,5,6,3,4,8]=>[1,2,7,6,5,4,3,8]=>[8,3,4,5,6,7,2,1]=>[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]
[5,1,4,7,2,3,6,8]=>[6,2,5,7,3,1,4,8]=>[8,4,1,3,7,5,2,6]=>[[[.,[[.,.],.]],[[.,[.,.]],.]],.]
[4,8,1,2,3,6,5,7]=>[5,8,3,4,1,7,6,2]=>[2,6,7,1,4,3,8,5]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[1,3,4,2,5,6,7,8,9]=>[1,4,3,2,5,6,7,8,9]=>[9,8,7,6,5,2,3,4,1]=>[[[[[[[.,.],[.,[.,.]]],.],.],.],.],.]
[1,3,4,6,7,2,8,5,9]=>[1,6,3,8,5,2,7,4,9]=>[9,4,7,2,5,8,3,6,1]=>[[[[.,.],[.,.]],[[.,[.,.]],[.,.]]],.]
[1,3,5,7,8,6,4,2,9]=>[1,8,7,6,5,4,3,2,9]=>[9,2,3,4,5,6,7,8,1]=>[[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[2,4,6,8,1,9,7,5,3]=>[5,9,8,7,1,6,4,3,2]=>[2,3,4,6,1,7,8,9,5]=>[[.,.],[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,3,5,7,8,6,4,2,9,10]=>[1,8,7,6,5,4,3,2,9,10]=>[10,9,2,3,4,5,6,7,8,1]=>[[[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.],.]
[6,2,3,8,7,1,4,5]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[8,2,3,6,4,7,5,1]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,2,3,6,4,8,1,5]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[4,5,1,3,2,6,8,7]=>[5,4,3,2,1,6,8,7]=>[7,8,6,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]]
[6,4,7,5,1,3,2,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,3,1,6,2,7,8,4]=>[8,5,3,4,2,6,7,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]
[6,7,2,4,1,8,3,5]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,1,6,3,2,7,8,4]=>[8,2,5,4,3,6,7,1]=>[1,7,6,3,4,5,2,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[5,2,1,6,4,7,3,8]=>[7,3,2,5,4,6,1,8]=>[8,1,6,4,5,2,3,7]=>[[.,[[[.,[.,.]],[.,.]],[.,.]]],.]
[5,4,1,6,2,7,8,3]=>[8,5,3,4,2,6,7,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]
[6,7,2,5,4,1,3,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,1,3,5,4,2,8,6]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[7,6,8,2,4,5,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,2,8,6,5,1,3,7]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[3,8,5,4,7,1,2,6]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[1,4,8,3,6,2,7,5]=>[1,6,8,4,7,2,5,3]=>[3,5,2,7,4,8,6,1]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[6,3,2,4,8,7,1,5]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[8,3,2,7,4,1,5,6]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[7,3,2,6,5,8,1,4]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[3,6,2,5,7,4,8,1]=>[8,6,3,4,5,2,7,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[2,7,1,5,8,6,4,3]=>[3,8,1,7,6,5,4,2]=>[2,4,5,6,7,1,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[7,2,4,1,6,8,5,3]=>[8,4,7,2,5,6,3,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[6,4,7,2,3,8,5,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,1,8,5,7,4,2,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,1,4,3,6,5,8,2]=>[8,2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[7,1,5,6,3,4,8,2]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[6,1,8,5,4,7,3,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,6,1,5,4,2,8,3]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[5,1,6,8,7,2,4,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,6,7,5,3,1,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,3,2,6,8,7,4,1]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[5,4,6,2,8,7,3,1]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[4,5,8,6,7,2,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,5,7,6,1,2,8,3]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,6,5,7,2,1,8,3]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[2,3,5,7,10,8,9,6,4,1]=>[10,2,9,8,7,6,5,4,3,1]=>[1,3,4,5,6,7,8,9,2,10]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[2,4,6,9,7,8,5,3,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[10,1,2,3,4,5,6,7,8,9]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[3,6,4,9,7,8,5,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[10,1,2,3,4,5,6,7,8,9]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[7,4,8,6,3,5,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,2,4,3,6,1,8,5]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[6,3,7,1,4,2,8,5]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,3,2,1,7,6,5,9,10,8]=>[4,3,2,1,7,6,5,10,9,8]=>[8,9,10,5,6,7,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],[.,[.,.]]]
[4,6,3,5,1,8,2,7]=>[7,5,4,3,2,8,1,6]=>[6,1,8,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[8,5,7,6,2,3,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,4,6,7,8,2,5,1]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[2,4,6,7,8,9,1,3,5]=>[7,8,9,4,5,6,1,2,3]=>[3,2,1,6,5,4,9,8,7]=>[[[.,.],.],[[[.,.],.],[[[.,.],.],.]]]
[2,5,6,7,3,8,1,4]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[5,8,4,6,2,1,7,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,4,7,5,8,6,3,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,6,8,3,4,2,7,5]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,1,7,6,2,8,3,5]=>[7,2,8,5,4,6,1,3]=>[3,1,6,4,5,8,2,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[2,5,6,3,7,4,8,1]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[2,6,5,3,8,4,7,1]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[2,6,5,3,7,4,8,1]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[7,1,6,3,5,4,8,2]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[5,7,3,2,8,4,1,6]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[2,8,6,1,7,5,3,4]=>[4,8,7,1,6,5,3,2]=>[2,3,5,6,1,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[8,1,5,2,7,4,3,6]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,1,4,2,8,5,3,6]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[2,6,8,1,7,5,3,4]=>[4,8,7,1,6,5,3,2]=>[2,3,5,6,1,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[2,4,5,8,7,1,3,6]=>[6,7,3,8,5,1,2,4]=>[4,2,1,5,8,3,7,6]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]
[3,1,6,8,7,5,4,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,1,8,7,5,6,4,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,1,8,7,6,3,4,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,2,7,5,3,6,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,2,3,1,5,6,4]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,8,5,7,6,1,3,4]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[1,8,7,2,6,4,5,3]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[8,7,2,1,6,4,5,3]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[1,8,4,7,6,2,5,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,7,1,6,4,3,5,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,4,1,7,3,6,5,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,3,6,2,1,5,4,7]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[1,7,3,6,8,2,5,4]=>[1,8,6,7,5,3,4,2]=>[2,4,3,5,7,6,8,1]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[4,5,1,8,7,3,6,2]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[3,8,5,2,6,7,4,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,3,8,5,2,6,1,7]=>[7,5,8,4,2,6,1,3]=>[3,1,6,2,4,8,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[3,6,4,7,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,7,4,1,2,6,8,3]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[2,8,6,7,5,3,1,4]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[7,4,5,2,6,3,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,6,3,4,5,1,7,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,3,5,4,1,7,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,4,5,1,3,6,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,2,5,3,1,4,7]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,7,3,1,2,5,6]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[8,7,3,5,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,3,2,6,1,7,5]=>[6,8,4,3,7,1,5,2]=>[2,5,1,7,3,4,8,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[4,3,7,6,1,5,2,8]=>[7,5,6,4,2,3,1,8]=>[8,1,3,2,4,6,5,7]=>[[.,[[.,.],[.,[[.,.],[.,.]]]]],.]
[7,5,4,3,6,1,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,6,8,5,3,1,2,7]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[5,6,8,4,3,7,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,5,8,4,2,1,6,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,4,8,7,6,2,5,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,2,4,1,5,3,8,6]=>[8,4,6,2,5,3,7,1]=>[1,7,3,5,2,6,4,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[8,5,3,4,1,7,2,6]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,8,5,4,3,6,1,7]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[8,6,5,3,1,2,7,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,4,6,5,3,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,6,7,2,3,8,4,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,4,2,6,5,7,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,7,4,2,8,5,6,3]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[3,2,1,7,4,6,8,5]=>[3,2,1,8,5,6,7,4]=>[4,7,6,5,8,1,2,3]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[6,2,5,7,1,4,3,8]=>[7,5,6,4,2,3,1,8]=>[8,1,3,2,4,6,5,7]=>[[.,[[.,.],[.,[[.,.],[.,.]]]]],.]
[4,8,5,3,1,2,6,7]=>[6,8,5,4,3,1,7,2]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[8,5,2,4,6,1,3,7]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,5,3,4,7,2,6,8]=>[1,6,4,3,7,2,5,8]=>[8,5,2,7,3,4,6,1]=>[[[[.,.],[.,[.,.]]],[[.,.],.]],.]
[8,4,6,1,5,7,3,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,4,7,2,1,3,8,5]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,7,3,1,2,4,8,5]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,1,8,7,6,2,5,4]=>[6,2,8,7,5,1,4,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[1,3,8,6,7,2,5,4]=>[1,6,8,7,5,2,4,3]=>[3,4,2,5,7,8,6,1]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]
[5,2,3,6,1,8,4,7]=>[7,5,3,4,2,8,1,6]=>[6,1,8,2,4,3,5,7]=>[[.,[.,[[.,.],[.,.]]]],[[.,.],.]]
[3,2,6,4,7,1,5,8]=>[6,2,7,4,5,1,3,8]=>[8,3,1,5,4,7,2,6]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[3,6,2,5,7,8,4,1]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[2,7,4,6,8,3,5,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,7,6,8,1,5,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,5,7,6,8,4,2,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,7,4,6,8,5,3,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,7,6,8,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,1,3,8,6,2,4,5]=>[8,2,6,7,5,3,4,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[2,7,1,8,6,5,3,4]=>[3,8,1,7,6,5,4,2]=>[2,4,5,6,7,1,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[8,1,5,2,6,4,7,3]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[4,6,7,5,1,2,3,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,3,4,7,6,2,1,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[4,1,8,5,7,2,6,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,1,8,2,7,5,6,3]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,6,8,2,4,3,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,4,5,3,8,1,6,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,3,6,1,4,2,8,5]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,7,2,6,4,5,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,2,3,4,8,5,6,9,7]=>[1,2,3,4,9,6,7,8,5]=>[5,8,7,6,9,4,3,2,1]=>[[[[[.,.],.],.],.],[[[.,.],.],[.,.]]]
[2,6,4,8,3,5,1,7]=>[7,6,5,8,3,2,1,4]=>[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[3,5,8,4,6,7,1,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,2,4,8,5,7,3,6]=>[1,2,7,8,5,6,3,4]=>[4,3,6,5,8,7,2,1]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]
[7,3,4,1,8,2,5,6]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[5,6,3,1,8,2,4,7]=>[7,6,4,3,8,2,1,5]=>[5,1,2,8,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[7,3,6,5,1,8,4,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,7,2,1,4,8,6,3]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[7,6,3,5,2,1,8,4]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,1,4,6,8,5,3,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,2,5,1,6,4,8,3]=>[8,4,6,2,5,3,7,1]=>[1,7,3,5,2,6,4,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[2,7,1,5,6,4,8,3]=>[3,8,1,6,5,4,7,2]=>[2,7,4,5,6,1,8,3]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[1,5,7,8,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,4,8,5,7,6,3,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,8,1,5,6,4,7,3]=>[3,8,1,7,6,5,4,2]=>[2,4,5,6,7,1,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[3,7,2,8,1,5,6,4]=>[5,8,3,7,1,6,4,2]=>[2,4,6,1,7,3,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[7,3,2,5,1,6,8,4]=>[8,5,3,6,2,4,7,1]=>[1,7,4,2,6,3,5,8]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[8,7,2,1,3,6,5,4]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[7,3,2,8,1,4,6,5]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[3,6,2,1,8,4,7,5]=>[4,8,3,1,7,6,5,2]=>[2,5,6,7,1,3,8,4]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[3,5,1,7,6,4,8,2]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[8,7,4,2,1,6,5,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,4,7,6,2,1,8,3]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,5,2,8,7,1,6,4]=>[6,8,3,7,5,1,4,2]=>[2,4,1,5,7,3,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[3,7,6,5,4,1,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,6,5,3,1,8,7,2]=>[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[4,5,2,6,7,3,8,1]=>[8,6,3,4,5,2,7,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[8,6,7,4,3,1,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,7,1,8,5,3,2,6]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[8,6,7,1,4,3,5,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,6,7,2,1,3,5,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,6,1,7,4,2,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,4,1,2,5,7,8,3]=>[8,5,3,4,2,6,7,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]
[6,1,5,4,2,7,3,8]=>[7,2,5,4,3,6,1,8]=>[8,1,6,3,4,5,2,7]=>[[.,[[[.,.],[.,[.,.]]],[.,.]]],.]
[6,4,2,3,1,7,5,8]=>[7,5,4,3,2,6,1,8]=>[8,1,6,2,3,4,5,7]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[3,4,6,1,8,2,7,5]=>[6,4,8,2,7,1,5,3]=>[3,5,1,7,2,8,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[6,4,5,2,7,1,3,8]=>[7,6,4,3,5,2,1,8]=>[8,1,2,5,3,4,6,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[7,4,3,5,1,6,2,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,5,3,6,2,1,4,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,4,3,7,1,8,2,5]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,1,2,7,6,4,5,8]=>[3,2,1,7,6,5,4,8]=>[8,4,5,6,7,1,2,3]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[5,1,2,7,6,3,4,8]=>[7,2,3,6,5,4,1,8]=>[8,1,4,5,6,3,2,7]=>[[.,[[[.,.],.],[.,[.,[.,.]]]]],.]
[5,6,1,7,2,4,3,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[3,5,6,8,1,2,7,4]=>[6,8,5,7,3,1,4,2]=>[2,4,1,3,7,5,8,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[2,3,7,1,5,6,4,8]=>[4,2,7,1,6,5,3,8]=>[8,3,5,6,1,7,2,4]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[2,6,5,3,4,1,7,8]=>[6,5,4,3,2,1,7,8]=>[8,7,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[6,1,5,4,2,7,8,3]=>[8,2,5,4,3,6,7,1]=>[1,7,6,3,4,5,2,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[4,6,1,5,2,7,8,3]=>[8,5,3,4,2,6,7,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]
[2,8,6,5,1,3,7,4]=>[5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[5,1,8,6,2,7,4,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,6,8,2,7,5,1,4]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[5,6,4,1,7,2,8,3]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[3,8,6,1,5,7,4,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,1,6,3,4,2,5,7]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,4,2,3,1,6,8,5]=>[8,5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[6,4,2,3,7,8,1,5]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[4,3,6,2,5,8,1,7]=>[7,4,5,2,3,8,1,6]=>[6,1,8,3,2,5,4,7]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]
[9,8,10,7,6,5,4,3,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,7,9,6,5,4,2,1,3]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[8,9,7,6,5,4,2,1,3]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[8,9,7,6,5,4,2,3,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[1,6,4,5,7,3,2,8]=>[1,7,6,4,5,3,2,8]=>[8,2,3,5,4,6,7,1]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[1,6,4,5,7,2,8,3]=>[1,8,6,4,5,3,7,2]=>[2,7,3,5,4,6,8,1]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[1,7,5,6,4,8,3,2]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,5,6,7,3,2,4,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[8,2,4,3,1,7,5,6]=>[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[8,2,1,4,3,7,5,6]=>[8,3,2,5,4,7,6,1]=>[1,6,7,4,5,2,3,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[7,6,8,2,1,5,3,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,2,5,1,3,7,4]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[7,1,6,8,3,2,4,5]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,7,2,6,4,1,8,3]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,5,6,1,3,8,2,7]=>[7,5,4,3,2,8,1,6]=>[6,1,8,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[6,3,5,7,4,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,6,4,8,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,2,1,6,4,7,3,5]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[1,3,8,6,5,2,7,4]=>[1,6,8,7,5,2,4,3]=>[3,4,2,5,7,8,6,1]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]
[2,7,3,8,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,2,8,5,7,4,6,3]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,6,8,5,4,7,2,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,1,8,3,2,6,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,1,3,8,6,4,7,5]=>[2,1,3,8,7,6,5,4]=>[4,5,6,7,8,3,1,2]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]
[8,2,5,4,3,7,1,6]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,8,4,3,7,6,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,1,5,3,4,7,2,6]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[6,1,8,7,4,5,3,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,5,8,6,4,3,7,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,8,6,4,2,1,7,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,6,1,8,4,7,5,3]=>[3,8,1,7,6,5,4,2]=>[2,4,5,6,7,1,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[5,3,8,6,1,2,7,4]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[5,8,1,4,6,2,7,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,7,6,2,1,4,8,5]=>[5,8,6,4,1,3,7,2]=>[2,7,3,1,4,6,8,5]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]
[4,6,2,3,7,1,8,5]=>[6,8,4,3,5,1,7,2]=>[2,7,1,5,3,4,8,6]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]
[6,8,7,5,1,3,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,4,3,2,7,8,5,1]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[2,7,6,1,5,3,8,4]=>[4,8,6,1,5,3,7,2]=>[2,7,3,5,1,6,8,4]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[7,8,6,4,2,5,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,4,5,8,7,1,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,4,1,7,8,3,2,5]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,4,3,8,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,4,7,2,1,3,8,6]=>[6,5,8,4,2,1,7,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[7,8,2,3,4,5,1,6,9]=>[8,7,6,4,5,3,2,1,9]=>[9,1,2,3,5,4,6,7,8]=>[[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]],.]
[1,8,9,3,4,5,6,2,7]=>[1,9,8,7,5,6,4,3,2]=>[2,3,4,6,5,7,8,9,1]=>[[.,.],[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,6,4,5,7,1,8,3]=>[6,8,4,3,5,1,7,2]=>[2,7,1,5,3,4,8,6]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]
[3,7,4,6,1,5,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,4,6,5,2,8,1,7]=>[7,5,4,3,2,8,1,6]=>[6,1,8,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[4,6,7,5,8,2,1,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,5,7,6,4,1,8,3]=>[6,8,5,4,3,1,7,2]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[5,1,4,6,2,7,8,3]=>[8,2,5,4,3,6,7,1]=>[1,7,6,3,4,5,2,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[1,2,5,3,7,8,6,4]=>[1,2,8,4,7,6,5,3]=>[3,5,6,7,4,8,2,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[4,8,3,5,1,2,7,6]=>[6,8,5,4,3,1,7,2]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[6,1,3,7,2,8,4,5]=>[8,2,5,7,3,6,4,1]=>[1,4,6,3,7,5,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[3,8,5,4,1,7,2,6]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[3,1,5,8,2,6,7,4]=>[5,2,8,7,1,6,4,3]=>[3,4,6,1,7,8,2,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[2,8,5,3,1,7,4,6]=>[5,8,7,4,1,6,3,2]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[6,5,2,3,7,1,8,4]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[7,2,1,6,4,8,3,5]=>[8,3,2,7,5,6,4,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[2,1,3,7,5,8,4,6]=>[2,1,3,8,7,6,5,4]=>[4,5,6,7,8,3,1,2]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]
[6,2,4,5,7,1,8,3]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[2,3,8,7,1,4,6,5]=>[5,2,8,7,1,6,4,3]=>[3,4,6,1,7,8,2,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[4,2,7,5,6,8,1,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,8,2,5,4,7,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,7,6,3,8,4,5,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,6,8,2,3,1,7,5]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[4,7,2,3,5,1,8,6]=>[6,8,4,3,5,1,7,2]=>[2,7,1,5,3,4,8,6]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]
[6,4,2,1,3,7,5,8]=>[7,5,4,3,2,6,1,8]=>[8,1,6,2,3,4,5,7]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[5,3,2,7,6,1,8,4]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[5,6,4,2,8,7,1,3]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[5,7,4,2,6,1,8,3]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,4,7,1,6,2,8,3]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,5,8,7,6,2,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,4,7,1,2,3,8,5]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,5,10,6,9,3,8,2,7,1]=>[10,8,9,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,9,8,10]=>[.,[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]]]
[10,6,9,5,4,3,8,2,7,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,2,6,10,9,5,4,3,7,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[4,5,10,6,8,2,7,1,9,3]=>[10,8,9,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,9,8,10]=>[.,[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]]]
[4,5,7,1,9,3,8,2,6,10]=>[8,6,9,4,7,2,5,1,3,10]=>[10,3,1,5,2,7,4,9,6,8]=>[[[.,[.,.]],[[.,.],[[.,.],[[.,.],.]]]],.]
[4,10,8,2,5,6,7,1,9,3]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[9,3,10,4,5,7,1,8,2,6]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[4,9,3,10,5,7,1,8,2,6]=>[9,10,7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7,10,9]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]
[6,1,7,3,8,4,5,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,2,3,1,6,4,7,5]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[1,8,7,2,3,4,6,5]=>[1,8,7,4,5,6,3,2]=>[2,3,6,5,4,7,8,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[1,8,3,7,6,2,5,4]=>[1,8,6,7,5,3,4,2]=>[2,4,3,5,7,6,8,1]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[1,3,8,2,5,6,4,7]=>[1,4,8,2,7,6,5,3]=>[3,5,6,7,2,8,4,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[1,3,2,7,4,6,8,5]=>[1,3,2,8,5,6,7,4]=>[4,7,6,5,8,2,3,1]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[1,3,8,4,6,2,7,5]=>[1,6,8,4,7,2,5,3]=>[3,5,2,7,4,8,6,1]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[8,2,3,6,7,4,5,1]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,6,4,2,1,7,3,8]=>[7,5,4,3,2,6,1,8]=>[8,1,6,2,3,4,5,7]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[2,5,7,6,3,8,4,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,4,7,1,2,5,3,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,2,7,5,8,6,3,4]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[2,1,9,8,7,6,5,3,4]=>[2,1,9,8,7,6,5,4,3]=>[3,4,5,6,7,8,9,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,1,9,8,7,6,4,3,5]=>[2,1,9,8,7,6,5,4,3]=>[3,4,5,6,7,8,9,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,1,9,8,7,6,3,5,4]=>[2,1,9,8,7,6,5,4,3]=>[3,4,5,6,7,8,9,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,1,10,9,8,7,6,5,3,4]=>[2,1,10,9,8,7,6,5,4,3]=>[3,4,5,6,7,8,9,10,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,4,5,1,6,8,2,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[1,7,8,4,2,6,3,5]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,3,2,5,7,4,1,8]=>[7,6,3,4,5,2,1,8]=>[8,1,2,5,4,3,6,7]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[6,2,5,1,3,8,7,4]=>[8,4,5,2,3,7,6,1]=>[1,6,7,3,2,5,4,8]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[6,2,8,5,1,3,7,4]=>[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[10,9,7,3,6,1,2,4,8,5]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,4,10,9,7,3,6,1,2,5]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,8,4,9,7,3,6,1,2,5]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[7,3,8,4,10,9,6,1,2,5]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[7,3,10,8,4,9,6,1,2,5]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,7,3,8,4,9,6,1,2,5]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[6,1,3,10,8,4,9,7,2,5]=>[10,2,9,8,7,6,5,4,3,1]=>[1,3,4,5,6,7,8,9,2,10]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[8,4,10,9,6,1,3,7,2,5]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,8,4,9,6,1,3,7,2,5]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,8,3,6,1,4,9,7,2,5]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[9,4,10,8,3,7,2,6,1,5]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,3,9,4,10,7,2,6,1,5]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[12,11,9,5,10,7,1,2,4,8,3,6]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,9,5,12,10,7,1,2,4,8,3,6]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,9,5,11,8,3,7,1,2,4,10,6]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,11,9,4,8,3,7,1,2,5,10,6]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[10,5,12,11,9,4,8,3,7,1,2,6]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,10,5,11,9,4,8,3,7,1,2,6]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[9,4,10,5,12,11,8,3,7,1,2,6]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[9,4,12,10,5,11,8,3,7,1,2,6]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,9,4,10,5,11,8,3,7,1,2,6]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[8,3,9,4,10,5,12,11,7,1,2,6]=>[12,11,10,9,6,5,8,7,4,3,2,1]=>[1,2,3,4,7,8,5,6,9,10,11,12]=>[.,[.,[.,[.,[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,3,9,4,12,10,5,11,7,1,2,6]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[8,3,12,9,4,10,5,11,7,1,2,6]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,8,3,9,4,10,5,11,7,1,2,6]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,11,8,2,4,9,5,10,7,1,3,6]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,9,5,11,8,2,4,10,7,1,3,6]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,11,9,4,8,2,5,10,7,1,3,6]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[9,4,12,11,8,2,5,10,7,1,3,6]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,8,2,5,12,9,4,10,7,1,3,6]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[9,4,10,5,12,11,7,1,3,8,2,6]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[9,4,12,10,5,11,7,1,3,8,2,6]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,9,4,10,5,11,7,1,3,8,2,6]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[10,5,12,11,9,3,7,1,4,8,2,6]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,10,5,11,9,3,7,1,4,8,2,6]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,11,5,10,4,9,3,8,2,7,1,6]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,5,12,10,4,9,3,8,2,7,1,6]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[10,4,11,5,12,9,3,8,2,7,1,6]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[4,1,7,8,3,6,5,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,4,2,1,7,3,5,8]=>[7,6,4,3,5,2,1,8]=>[8,1,2,5,3,4,6,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[5,8,4,2,1,3,6,7]=>[6,8,5,4,3,1,7,2]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[1,7,5,8,4,3,6,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,8,1,6,4,7,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,4,7,5,1,8,6,3]=>[5,8,7,4,1,6,3,2]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[2,3,7,1,8,5,6,4]=>[4,2,8,1,7,6,5,3]=>[3,5,6,7,1,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[6,5,1,2,7,4,8,3]=>[8,6,3,4,5,2,7,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[3,6,5,7,8,2,4,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,6,5,1,8,7,4,2]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[7,8,1,2,5,4,3,6]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[2,8,4,3,5,1,7,6]=>[6,8,4,3,5,1,7,2]=>[2,7,1,5,3,4,8,6]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]
[5,2,4,7,6,8,1,3]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[3,1,5,7,4,8,6,2]=>[8,2,5,7,3,6,4,1]=>[1,4,6,3,7,5,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[4,1,7,6,8,2,5,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,2,6,4,1,5,3,8]=>[7,5,6,4,2,3,1,8]=>[8,1,3,2,4,6,5,7]=>[[.,[[.,.],[.,[[.,.],[.,.]]]]],.]
[1,2,6,5,8,3,7,4]=>[1,2,8,6,7,4,5,3]=>[3,5,4,7,6,8,2,1]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[7,3,5,6,1,4,2,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,8,3,1,6,7,4,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,5,8,1,7,3,6,2]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[4,7,1,6,8,5,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,8,7,1,6,4,2,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,7,3,8,2,5,4,6]=>[1,8,5,7,3,6,4,2]=>[2,4,6,3,7,5,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[8,4,1,3,6,7,5,2]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[5,3,1,8,6,7,4,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,7,1,6,4,2,8,3]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[2,7,1,6,5,8,4,3]=>[3,8,1,7,5,6,4,2]=>[2,4,6,5,7,1,8,3]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[2,3,6,1,7,5,4,8]=>[4,2,7,1,6,5,3,8]=>[8,3,5,6,1,7,2,4]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[2,7,1,4,8,6,5,3]=>[3,8,1,7,6,5,4,2]=>[2,4,5,6,7,1,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[6,7,5,4,1,3,2,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,2,7,1,4,3,5,8]=>[7,4,6,2,5,3,1,8]=>[8,1,3,5,2,6,4,7]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[8,3,2,6,5,1,7,4]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[7,3,2,6,5,1,4,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[2,6,8,4,7,1,3,5]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[7,8,6,3,2,5,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,2,8,6,3,1,4,7]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[2,8,5,6,4,1,7,3]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[1,4,7,3,5,8,6,2]=>[1,8,7,4,5,6,3,2]=>[2,3,6,5,4,7,8,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[8,6,1,4,3,2,7,5]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,3,8,2,4,1,5,6]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[6,3,7,8,1,2,5,4]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[7,6,1,5,2,3,8,4]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[5,1,8,6,7,2,3,4]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,7,1,6,8,2,3,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,8,4,2,1,7,3,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,3,2,8,1,7,4,5]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[6,4,1,3,7,8,5,2]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[6,8,5,4,3,7,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,7,4,8,3,1,2,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[2,5,6,8,1,4,7,3]=>[5,8,6,7,1,3,4,2]=>[2,4,3,1,7,6,8,5]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]
[7,4,1,6,5,2,3,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[4,1,6,5,2,3,8,7]=>[6,2,5,4,3,1,8,7]=>[7,8,1,3,4,5,2,6]=>[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]
[4,5,1,7,8,6,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,5,7,3,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,7,4,3,5,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,7,5,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,6,2,4,7,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,6,2,5,7,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,6,4,7,5,3,2,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[1,6,5,3,2,7,4,8]=>[1,7,5,4,3,6,2,8]=>[8,2,6,3,4,5,7,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[1,6,8,7,4,5,3,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,7,4,6,8,5,3,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,8,7,2,3,5,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,7,6,1,8,2,4,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,8,6,5,7,2,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,7,8,5,1,4,3,6]=>[5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[8,5,6,2,4,7,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,5,8,4,2,6,1,7]=>[7,5,8,4,2,6,1,3]=>[3,1,6,2,4,8,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[8,1,3,6,4,5,2,7]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,3,1,6,2,5,8,7]=>[5,3,2,6,1,4,8,7]=>[7,8,4,1,6,2,3,5]=>[[[.,[.,[.,.]]],[[.,.],.]],[.,.]]
[7,5,2,1,8,4,3,6]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[8,6,1,3,5,7,4,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,1,5,8,2,3,4,6]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,6,8,5,1,4,2,7]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[5,2,4,1,6,8,3,7]=>[7,4,3,2,5,8,1,6]=>[6,1,8,5,2,3,4,7]=>[[.,[[.,[.,[.,.]]],.]],[[.,.],.]]
[2,5,3,4,6,8,1,7]=>[7,4,3,2,5,8,1,6]=>[6,1,8,5,2,3,4,7]=>[[.,[[.,[.,[.,.]]],.]],[[.,.],.]]
[4,7,1,2,5,6,3,8]=>[7,6,3,4,5,2,1,8]=>[8,1,2,5,4,3,6,7]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[6,7,3,1,8,2,4,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,3,1,4,6,2,8,5]=>[8,6,3,4,5,2,7,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[7,4,1,2,5,6,3,8]=>[7,6,3,4,5,2,1,8]=>[8,1,2,5,4,3,6,7]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[5,7,4,8,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,3,1,2,5,7,6,8]=>[4,3,2,1,5,7,6,8]=>[8,6,7,5,1,2,3,4]=>[[[[.,[.,[.,[.,.]]]],.],[.,.]],.]
[1,2,3,4,5,8,9,7,6]=>[1,2,3,4,5,9,8,7,6]=>[6,7,8,9,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],[.,[.,[.,.]]]]
[1,2,3,4,8,9,6,7,5]=>[1,2,3,4,9,8,7,6,5]=>[5,6,7,8,9,4,3,2,1]=>[[[[[.,.],.],.],.],[.,[.,[.,[.,.]]]]]
[1,2,3,8,9,5,6,7,4]=>[1,2,3,9,8,7,6,5,4]=>[4,5,6,7,8,9,3,2,1]=>[[[[.,.],.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,2,4,7,8,5,6,3]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,2,8,9,4,5,6,7,3]=>[1,2,9,8,7,6,5,4,3]=>[3,4,5,6,7,8,9,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,3,6,5,7,4,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,2,6,5,7,4,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,7,1,5,2,6,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,2,6,3,7,5,4,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,2,5,3,7,6,4,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,5,7,1,4,3,6,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,3,1,8,4,2,6,7]=>[6,5,3,8,2,1,7,4]=>[4,7,1,2,8,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[4,5,3,6,8,7,1,2]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[2,1,6,5,8,7,3,4]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[6,1,5,4,7,3,8,2]=>[8,2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[3,1,8,4,2,7,6,5]=>[5,2,8,4,1,7,6,3]=>[3,6,7,1,4,8,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[2,8,7,4,1,3,6,5]=>[5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[8,2,3,1,7,6,4,5]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[8,7,2,3,1,6,4,5]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,2,5,8,3,1,4,6]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[6,8,2,3,1,7,4,5]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,2,5,7,3,1,4,6]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[8,2,7,3,1,4,5,6]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[5,3,2,8,7,1,6,4]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[8,6,7,4,1,3,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,1,3,6,5,2,8,7]=>[6,2,3,5,4,1,8,7]=>[7,8,1,4,5,3,2,6]=>[[.,[[[.,.],.],[.,[.,.]]]],[.,.]]
[4,6,3,2,5,1,8,7]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[4,8,3,2,6,5,7,1]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[4,8,3,6,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,1,6,2,5,4,7,3]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[2,4,3,8,6,1,7,5]=>[6,3,2,8,7,1,5,4]=>[4,5,1,7,8,2,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]
[2,6,3,8,5,4,7,1]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[6,8,4,2,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,1,4,6,5,3,7,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,5,4,6,1,2,8,7]=>[6,5,3,4,2,1,8,7]=>[7,8,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]
[7,3,5,6,1,8,2,4]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,7,6,3,4,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,6,7,2,3,5,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,5,4,8,7,2,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,2,8,9,3,10,4,5,1,6]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[7,2,8,9,10,3,4,5,1,6]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[7,8,2,9,3,10,4,5,1,6]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[7,8,2,9,3,10,4,1,5,6]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[7,8,2,9,10,3,4,5,1,6]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[7,8,2,9,10,3,4,1,5,6]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[7,8,9,2,3,10,4,5,1,6]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[7,8,9,2,3,10,4,1,5,6]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[7,8,9,2,3,10,1,4,5,6]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[7,8,9,2,10,3,4,5,1,6]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[7,8,9,2,10,3,4,1,5,6]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[7,8,9,2,10,3,1,4,5,6]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[7,8,9,10,2,3,4,1,5,6]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[7,8,9,10,2,3,1,4,5,6]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[7,8,9,10,2,1,3,4,5,6]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,2,9,10,11,12,3,4,5,6,1,7]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[8,9,2,10,11,12,3,4,5,6,1,7]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[8,9,2,10,11,12,3,4,5,1,6,7]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[8,9,10,2,11,12,3,4,5,6,1,7]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[8,9,10,2,11,12,3,4,5,1,6,7]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[8,9,10,2,11,12,3,4,1,5,6,7]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[8,9,10,11,2,12,3,4,5,6,1,7]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[8,9,10,11,2,12,3,4,5,1,6,7]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[8,9,10,11,2,12,3,4,1,5,6,7]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[8,9,10,11,2,12,3,1,4,5,6,7]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[8,9,10,11,12,2,3,4,5,6,1,7]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[8,9,10,11,12,2,3,4,5,1,6,7]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[8,9,10,11,12,2,3,4,1,5,6,7]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[8,9,10,11,12,2,3,1,4,5,6,7]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[8,9,10,11,12,2,1,3,4,5,6,7]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[4,8,7,6,5,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[9,1,2,3,4,5,6,7,8]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[5,9,8,7,6,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[10,1,2,3,4,5,6,7,8,9]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[5,8,7,4,6,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[9,1,2,3,4,5,6,7,8]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[8,4,7,6,5,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[9,1,2,3,4,5,6,7,8]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[5,7,4,3,6,2,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,9,8,5,7,4,1,3,2]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,8,7,5,1,6,4,3,2]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[10,9,8,6,1,7,5,4,3,2]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[1,2,8,3,4,5,6,9,7]=>[1,2,9,4,5,6,7,8,3]=>[3,8,7,6,5,4,9,2,1]=>[[[.,.],.],[[[[[.,.],.],.],.],[.,.]]]
[1,8,5,6,2,3,7,4]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,2,4,6,8,1,5,3]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[6,2,5,4,7,8,1,3]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[3,8,2,6,1,7,4,5]=>[5,8,3,7,1,6,4,2]=>[2,4,6,1,7,3,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[8,5,6,1,3,2,7,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,3,7,8,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,5,8,3,6,1,7,2]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[4,5,8,7,2,3,1,6]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[8,2,6,4,3,7,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,3,1,8,7,4,5,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,6,3,2,7,4,5,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,3,6,8,7,4,5,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,1,3,6,2,4,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[4,7,5,2,3,6,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,6,4,1,2,5,7,8]=>[5,6,4,3,1,2,7,8]=>[8,7,2,1,3,4,6,5]=>[[[[.,.],[.,[.,[[.,.],.]]]],.],.]
[4,7,1,3,2,5,8,6]=>[5,8,3,4,1,6,7,2]=>[2,7,6,1,4,3,8,5]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]
[4,7,1,3,2,6,8,5]=>[5,8,3,4,1,6,7,2]=>[2,7,6,1,4,3,8,5]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]
[5,7,1,3,6,2,8,4]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[6,8,2,5,7,3,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,5,2,3,6,1,7]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[5,8,6,3,4,7,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,7,5,4,2,8,1,6]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[4,6,5,1,7,8,2,3]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[4,7,1,3,2,8,5,6]=>[5,8,3,4,1,7,6,2]=>[2,6,7,1,4,3,8,5]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[3,6,5,1,8,2,4,7]=>[6,7,4,3,8,1,2,5]=>[5,2,1,8,3,4,7,6]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]
[5,8,7,3,4,2,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,6,3,9,2,1,4,5]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[8,7,4,9,3,2,1,6,5]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[10,9,8,7,6,5,4,2,1,3,11]=>[10,9,8,7,6,5,4,3,2,1,11]=>[11,1,2,3,4,5,6,7,8,9,10]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],.]
[8,7,6,5,2,1,4,3,9]=>[8,7,6,5,4,3,2,1,9]=>[9,1,2,3,4,5,6,7,8]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[10,9,8,7,6,5,3,2,1,4,11]=>[10,9,8,7,6,5,4,3,2,1,11]=>[11,1,2,3,4,5,6,7,8,9,10]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],.]
[8,7,6,3,2,5,1,4,9]=>[8,7,6,5,4,3,2,1,9]=>[9,1,2,3,4,5,6,7,8]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[9,8,7,6,3,10,2,1,4,5]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[8,7,4,3,6,2,1,9,5]=>[9,7,6,5,4,3,2,8,1]=>[1,8,2,3,4,5,6,7,9]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]]
[8,7,6,2,9,5,1,3,4]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,8,7,4,10,3,2,1,6,5]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,8,7,5,4,3,2,1,6,11]=>[10,9,8,7,6,5,4,3,2,1,11]=>[11,1,2,3,4,5,6,7,8,9,10]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],.]
[8,5,4,7,3,2,1,6,9]=>[8,7,6,5,4,3,2,1,9]=>[9,1,2,3,4,5,6,7,8]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[8,7,3,9,6,2,1,4,5]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,8,5,10,4,3,2,1,6,7]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,8,6,5,4,3,2,1,7,11]=>[10,9,8,7,6,5,4,3,2,1,11]=>[11,1,2,3,4,5,6,7,8,9,10]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],.]
[5,9,8,4,3,2,1,6,7]=>[7,9,8,6,5,4,1,3,2]=>[2,3,1,4,5,6,8,9,7]=>[[.,.],[.,[.,[.,[.,[[.,.],[.,.]]]]]]]
[10,8,7,6,5,4,3,2,1,9,11]=>[10,9,8,7,6,5,4,3,2,1,11]=>[11,1,2,3,4,5,6,7,8,9,10]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],.]
[8,5,2,3,7,4,6,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,3,1,5,4,8,2,7]=>[7,5,3,4,2,8,1,6]=>[6,1,8,2,4,3,5,7]=>[[.,[.,[[.,.],[.,.]]]],[[.,.],.]]
[4,7,6,3,5,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[1,7,5,3,4,8,6,2]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[5,8,2,3,4,7,6,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,7,3,2,6,4,5,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,3,1,4,7,5,2,6]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[3,4,8,5,7,2,6,1]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[8,5,1,2,7,6,4,3]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[8,2,6,3,1,5,4,7]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[3,7,8,5,6,2,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,4,3,6,2,5,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,3,8,7,1,6,2,5]=>[7,5,8,6,2,4,1,3]=>[3,1,4,2,6,8,5,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[1,5,3,8,4,7,2,6]=>[1,7,5,8,3,6,2,4]=>[4,2,6,3,8,5,7,1]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[8,2,3,1,6,5,7,4]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[8,4,2,7,1,3,6,5]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[8,4,2,3,1,6,7,5]=>[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[4,7,2,3,6,5,8,1]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[3,8,2,6,4,7,1,5]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[1,7,5,8,6,2,4,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,5,1,7,4,8,3,2]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[10,9,8,6,7,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[7,6,3,5,1,4,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,5,4,1,7,2,3,8]=>[7,6,4,3,5,2,1,8]=>[8,1,2,5,3,4,6,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[8,3,6,1,7,4,5,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,1,2,6,4,8,3,5]=>[8,2,3,7,5,6,4,1]=>[1,4,6,5,7,3,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[3,5,1,8,6,2,4,7]=>[6,7,3,8,5,1,2,4]=>[4,2,1,5,8,3,7,6]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]
[8,7,5,6,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[9,1,2,3,4,5,6,7,8]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[8,6,5,7,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[9,1,2,3,4,5,6,7,8]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[9,8,7,6,4,3,2,5,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,8,7,6,4,3,5,2,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[8,5,6,7,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[9,1,2,3,4,5,6,7,8]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[10,9,7,6,8,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[6,7,5,8,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[9,1,2,3,4,5,6,7,8]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[10,8,7,6,9,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,9,7,6,4,3,2,1,5]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[7,6,5,3,2,1,4,8,9]=>[7,6,5,4,3,2,1,8,9]=>[9,8,1,2,3,4,5,6,7]=>[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.]
[9,8,7,6,4,3,5,1,2]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,8,7,6,4,3,2,5,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[10,1,2,3,4,5,6,7,8,9]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[9,8,7,6,4,5,2,3,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,8,7,6,4,3,5,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[10,1,2,3,4,5,6,7,8,9]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[9,8,7,6,5,3,4,2,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[1,8,7,5,4,6,2,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,1,6,7,4,5,3,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,6,4,7,5,3,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,4,8,1,5,3,7,2]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[5,1,4,3,7,8,6,2]=>[8,2,4,3,7,6,5,1]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[5,7,1,8,6,3,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,7,6,3,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,1,3,7,6,5,2,8]=>[7,2,3,6,5,4,1,8]=>[8,1,4,5,6,3,2,7]=>[[.,[[[.,.],.],[.,[.,[.,.]]]]],.]
[8,7,6,5,4,2,3,1,9]=>[8,7,6,5,4,3,2,1,9]=>[9,1,2,3,4,5,6,7,8]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[4,3,6,1,2,7,8,5]=>[5,4,8,2,1,6,7,3]=>[3,7,6,1,2,8,4,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[1,10,9,8,6,5,7,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[2,9,8,6,5,7,4,3,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[7,2,6,1,3,5,8,4]=>[8,4,6,2,5,3,7,1]=>[1,7,3,5,2,6,4,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[6,2,7,1,5,8,3,4]=>[8,4,7,2,5,6,3,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[5,8,3,6,7,2,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,1,6,2,5,7,4,3]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[2,7,1,5,3,6,8,4]=>[3,8,1,6,5,4,7,2]=>[2,7,4,5,6,1,8,3]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[6,8,7,3,4,2,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,8,6,2,4,7,5,3]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[5,7,3,6,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,7,3,6,4,1,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,7,5,6,4,1,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[9,6,7,4,5,2,3,1,8]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[8,9,6,7,4,5,2,1,3]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[10,8,9,6,7,4,5,2,1,3]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,8,6,5,4,3,7,2,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[2,8,5,7,3,4,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,5,7,6,1,4,2,8,9]=>[7,6,5,4,3,2,1,8,9]=>[9,8,1,2,3,4,5,6,7]=>[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.]
[4,6,7,8,3,1,5,2,9]=>[8,7,6,5,4,3,2,1,9]=>[9,1,2,3,4,5,6,7,8]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[3,5,9,7,1,8,2,6,4]=>[7,9,8,6,5,4,1,3,2]=>[2,3,1,4,5,6,8,9,7]=>[[.,.],[.,[.,[.,[.,[[.,.],[.,.]]]]]]]
[5,7,8,3,9,4,1,6,2]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[2,4,3,1,5,6,7,8,9,10]=>[4,3,2,1,5,6,7,8,9,10]=>[10,9,8,7,6,5,1,2,3,4]=>[[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.],.]
[3,4,5,2,1,6,7,8,9,10]=>[5,4,3,2,1,6,7,8,9,10]=>[10,9,8,7,6,1,2,3,4,5]=>[[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.],.]
[3,5,7,6,1,4,2,8,9,10]=>[7,6,5,4,3,2,1,8,9,10]=>[10,9,8,1,2,3,4,5,6,7]=>[[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.],.]
[4,6,7,8,3,1,5,2,9,10]=>[8,7,6,5,4,3,2,1,9,10]=>[10,9,1,2,3,4,5,6,7,8]=>[[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.],.]
[5,7,8,3,9,4,1,6,2,10]=>[9,8,7,6,5,4,3,2,1,10]=>[10,1,2,3,4,5,6,7,8,9]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[6,8,9,3,4,10,5,1,7,2]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[6,7,2,3,5,8,1,4]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,4,5,8,2,3,1,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,1,3,8,5,4,6,7]=>[2,1,3,8,6,5,7,4]=>[4,7,5,6,8,3,1,2]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]
[5,3,6,8,2,4,1,7]=>[7,6,5,8,3,2,1,4]=>[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[1,7,8,6,3,2,4,5]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,1,2,5,3,8,4,6]=>[8,2,3,7,5,6,4,1]=>[1,4,6,5,7,3,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[3,7,4,2,5,1,8,6]=>[6,8,4,3,5,1,7,2]=>[2,7,1,5,3,4,8,6]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]
[1,8,3,4,5,7,2,6]=>[1,8,7,4,5,6,3,2]=>[2,3,6,5,4,7,8,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[2,6,7,5,3,8,1,4]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[4,5,2,6,8,7,1,3]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[4,5,7,6,2,1,3,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,8,2,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,3,7,8,4,2,1,6]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[7,3,6,8,1,5,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[9,7,8,5,6,2,4,1,3]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,7,8,4,6,2,5,1,3]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,6,8,4,7,2,5,1,3]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[8,9,6,4,7,2,5,1,3]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[8,9,6,7,4,2,5,1,3]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,7,8,3,6,2,5,1,4]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,5,8,4,7,2,6,1,3]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[7,6,9,4,8,2,5,1,3]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[8,6,9,7,4,2,5,1,3]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[10,8,9,6,4,7,2,5,1,3]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,9,6,4,7,5,2,1,3]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[10,8,9,6,7,4,2,5,1,3]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,9,6,7,4,2,5,3,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[7,5,8,2,4,3,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,5,8,2,3,4,1,7]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[8,1,5,3,4,6,2,7]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[5,8,7,2,4,3,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,7,2,4,8,5,6,3]=>[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[5,8,2,3,7,4,6,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,8,2,3,5,4,6,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,7,2,3,5,4,6,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,7,6,8,4,5,3,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,7,3,1,8,5,6,4]=>[4,8,3,1,7,6,5,2]=>[2,5,6,7,1,3,8,4]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[3,8,5,2,1,6,7,4]=>[5,8,7,4,1,6,3,2]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[2,8,6,1,5,7,4,3]=>[4,8,7,1,6,5,3,2]=>[2,3,5,6,1,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[8,3,5,1,7,6,4,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,3,5,4,7,1,6,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,4,1,5,7,8,2,3]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[4,8,7,1,2,5,3,6]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[8,7,2,6,1,4,3,5]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[6,1,7,3,8,2,4,5]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,1,8,6,4,2,3,5]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,1,3,5,8,2,6,7]=>[6,2,3,4,8,1,7,5]=>[5,7,1,8,4,3,2,6]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]
[1,8,5,7,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,4,7,6,8,3,5,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,7,2,8,6,5,3,4]=>[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[5,7,1,6,4,2,3,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[4,8,2,7,5,1,6,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,8,4,6,7,1,5,3]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[3,8,5,1,4,2,6,7]=>[6,8,5,4,3,1,7,2]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[1,7,6,2,5,3,8,4]=>[1,8,6,4,5,3,7,2]=>[2,7,3,5,4,6,8,1]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[1,7,5,2,4,3,8,6]=>[1,8,6,4,5,3,7,2]=>[2,7,3,5,4,6,8,1]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[2,8,5,1,4,3,6,7]=>[4,8,6,1,5,3,7,2]=>[2,7,3,5,1,6,8,4]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[9,7,6,5,4,3,2,8,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[7,6,3,5,4,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[1,9,8,5,6,7,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,10,9,8,5,6,7,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[1,9,8,5,4,6,7,3,2]=>[1,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,10,9,5,6,7,8,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[1,9,5,4,6,7,8,3,2]=>[1,9,8,7,5,6,4,3,2]=>[2,3,4,6,5,7,8,9,1]=>[[.,.],[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,1,2,5,7,6,8,4]=>[3,2,1,8,6,5,7,4]=>[4,7,5,6,8,1,2,3]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[5,1,7,3,2,6,8,4]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[4,8,2,3,7,5,1,6]=>[7,8,4,3,6,5,1,2]=>[2,1,5,6,3,4,8,7]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]
[8,7,2,4,3,5,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,2,4,3,5,1,7]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,2,8,4,5,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,1,5,7,3,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,1,7,5,6,8,2,3]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[1,6,8,7,2,5,4,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,4,8,7,6,3,5,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,1,8,4,5,2,7,6]=>[6,2,8,4,5,1,7,3]=>[3,7,1,5,4,8,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[2,3,7,6,1,8,4,5]=>[5,2,8,7,1,6,4,3]=>[3,4,6,1,7,8,2,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[4,8,5,2,1,3,7,6]=>[6,8,5,4,3,1,7,2]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[5,8,4,2,1,3,7,6]=>[6,8,5,4,3,1,7,2]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[9,8,7,6,5,3,1,4,2]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,8,7,6,4,1,5,3,2]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[4,6,7,5,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,2,5,3,1,8,7,4]=>[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[6,2,5,3,8,7,1,4]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[6,4,5,3,8,7,1,2]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[1,6,4,5,8,7,3,2]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[8,4,7,5,2,3,1,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,2,7,4,5,3,1,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,2,4,7,5,3,1,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,2,6,7,5,3,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,6,7,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,4,5,8,7,3,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,2,8,7,5,3,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,6,5,3,8,7,1,2]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[6,7,2,4,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,8,7,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,8,4,7,5,3,1,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[5,8,7,4,6,3,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,5,8,4,7,2,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,6,2,5,7,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,1,6,2,5,7,3,4]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,8,1,2,4,7,3,5]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[8,1,5,3,2,7,4,6]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[8,3,7,6,2,5,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,2,3,4,8,9,5,6,7]=>[1,2,3,4,9,8,7,6,5]=>[5,6,7,8,9,4,3,2,1]=>[[[[[.,.],.],.],.],[.,[.,[.,[.,.]]]]]
[4,6,1,3,5,8,2,7]=>[7,5,3,4,2,8,1,6]=>[6,1,8,2,4,3,5,7]=>[[.,[.,[[.,.],[.,.]]]],[[.,.],.]]
[6,2,7,1,8,3,4,5]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,4,5,8,1,7,2,3]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[6,2,8,5,1,4,7,3]=>[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[2,4,7,6,1,8,3,5]=>[5,7,8,4,1,6,2,3]=>[3,2,6,1,4,8,7,5]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]
[2,1,7,8,9,3,4,5,6]=>[2,1,9,8,7,6,5,4,3]=>[3,4,5,6,7,8,9,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,6,7,8,9,10,1,3,4,5]=>[7,10,9,8,5,6,1,4,3,2]=>[2,3,4,1,6,5,8,9,10,7]=>[[.,.],[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]]
[9,7,5,3,8,6,4,2,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[10,8,9,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[7,4,5,8,6,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,9,7,4,3,2,1,5]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[8,6,4,9,7,5,2,1,3]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[10,8,6,4,9,7,5,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,7,5,3,8,6,4,1,2]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[10,8,6,4,2,1,9,7,5,3]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[11,9,10,8,7,6,5,4,3,2,1]=>[11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]
[9,6,7,8,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[10,8,9,6,5,4,3,2,1,7]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,8,11,9,7,6,5,4,3,2,1]=>[11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]
[8,5,6,9,7,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,7,10,8,5,4,3,2,1,6]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,7,8,4,3,2,1,5,6]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[10,8,6,11,9,7,5,4,3,2,1]=>[11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]
[8,6,3,4,9,7,5,2,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[8,6,9,7,3,2,1,4,5]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,7,5,10,8,6,3,2,1,4]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[11,9,7,5,10,8,6,4,3,2,1]=>[11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]
[9,7,5,2,3,8,6,4,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[10,8,6,4,9,7,5,2,1,3]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[11,9,7,5,3,2,1,10,8,6,4]=>[11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]
[8,6,4,9,7,5,1,2,3]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[10,8,6,4,1,2,9,7,5,3]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[11,9,7,5,3,10,8,6,4,2,1]=>[11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]
[10,8,6,4,2,11,9,7,5,3,1]=>[11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]
[3,2,6,1,7,4,8,5,9]=>[4,2,8,1,6,5,7,3,9]=>[9,3,7,5,6,1,8,2,4]=>[[[.,[.,.]],[[[.,.],[.,.]],[.,.]]],.]
[7,6,5,9,4,3,2,1,8]=>[8,7,6,9,5,3,2,1,4]=>[4,1,2,3,5,9,6,7,8]=>[[.,[.,[.,.]]],[.,[[.,[.,[.,.]]],.]]]
[7,9,8,5,4,3,2,1,6]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[7,6,9,8,4,3,2,1,5]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[7,6,5,9,8,3,2,1,4]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[1,6,2,3,8,5,7,4]=>[1,8,3,4,7,6,5,2]=>[2,5,6,7,4,3,8,1]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[3,4,2,6,8,5,7,1]=>[8,3,2,6,7,4,5,1]=>[1,5,4,7,6,2,3,8]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]
[9,8,7,6,5,2,3,4,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[6,1,7,8,9,2,3,4,5]=>[9,2,8,7,6,5,4,3,1]=>[1,3,4,5,6,7,8,2,9]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,4,1,3,6,8,2,5]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[6,8,1,2,7,3,4,5]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[1,6,2,8,7,3,4,5]=>[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,6,8,5,7,4,3,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,8,1,2,4,7,6,5]=>[4,8,3,1,5,7,6,2]=>[2,6,7,5,1,3,8,4]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]
[1,4,5,7,3,6,8,2]=>[1,8,5,6,3,4,7,2]=>[2,7,4,3,6,5,8,1]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]
[3,6,2,4,7,5,8,1]=>[8,6,3,4,5,2,7,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[3,1,8,4,6,2,5,7]=>[6,2,8,4,7,1,5,3]=>[3,5,1,7,4,8,2,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[4,2,7,3,5,8,1,6]=>[7,4,8,2,5,6,1,3]=>[3,1,6,5,2,8,4,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[3,1,8,4,5,6,2,7]=>[7,2,8,4,5,6,1,3]=>[3,1,6,5,4,8,2,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[4,2,7,8,6,3,1,5]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[7,1,4,2,8,6,3,5]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[2,3,7,4,8,1,6,5]=>[6,2,8,4,7,1,5,3]=>[3,5,1,7,4,8,2,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[1,6,3,5,8,7,4,2]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[8,4,6,3,5,1,7,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,3,2,6,8,4,5,1]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,4,5,7,1,6,8,3]=>[5,8,3,6,1,4,7,2]=>[2,7,4,1,6,3,8,5]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]
[8,4,2,6,7,3,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,1,5,7,8,6,2,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,1,4,8,2,3,7,5]=>[8,2,6,7,5,3,4,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[7,6,2,3,5,8,4,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,8,5,7,6,3,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,5,7,8,6,4,1,3]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[7,4,1,6,2,5,8,3]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[8,7,4,6,2,5,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,7,5,4,6,2,3,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[6,2,7,5,3,1,4,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,1,7,4,8,5,2,3]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,2,4,6,3,1,7,5]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[5,6,2,4,8,7,3,1]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[8,5,6,2,3,7,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,1,4,5,6,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,6,7,8,9,1,3,4,2]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[6,7,8,9,1,3,4,5,2]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[6,7,8,9,1,4,5,2,3]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[6,7,8,9,1,4,5,3,2]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[6,7,8,9,1,5,4,3,2]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,1,7,8,5,6,3,4,2]=>[9,2,8,7,6,5,4,3,1]=>[1,3,4,5,6,7,8,2,9]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]
[9,1,7,8,5,6,4,3,2]=>[9,2,8,7,6,5,4,3,1]=>[1,3,4,5,6,7,8,2,9]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,6,7,8,9,10,1,3,4,2]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[5,6,7,8,9,10,1,4,3,2]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[7,8,9,10,1,4,5,6,2,3]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[7,8,9,10,1,4,5,6,3,2]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[7,8,9,10,1,5,6,4,3,2]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[7,8,9,10,1,6,5,4,3,2]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[10,1,8,9,6,7,4,5,3,2]=>[10,2,9,8,7,6,5,4,3,1]=>[1,3,4,5,6,7,8,9,2,10]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[10,1,8,9,6,7,5,4,3,2]=>[10,2,9,8,7,6,5,4,3,1]=>[1,3,4,5,6,7,8,9,2,10]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[10,1,8,9,7,6,5,4,3,2]=>[10,2,9,8,7,6,5,4,3,1]=>[1,3,4,5,6,7,8,9,2,10]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[8,3,1,2,5,4,7,6]=>[8,4,3,2,6,5,7,1]=>[1,7,5,6,2,3,4,8]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[8,1,5,3,7,4,2,6]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,2,6,7,8,3,5,4]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,2,4,8,6,7,3,5]=>[1,2,7,8,6,5,3,4]=>[4,3,5,6,8,7,2,1]=>[[[[.,.],.],.],[.,[.,[[.,.],.]]]]
[8,1,2,6,5,7,3,4]=>[8,2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[7,1,2,6,5,8,3,4]=>[8,2,3,7,5,6,4,1]=>[1,4,6,5,7,3,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[7,4,8,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,6,1,4,7,5,8,3]=>[3,8,1,6,5,4,7,2]=>[2,7,4,5,6,1,8,3]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[5,2,7,3,1,6,8,4]=>[8,5,6,4,2,3,7,1]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[6,7,2,1,3,4,8,5]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[4,6,3,1,2,7,8,5]=>[5,8,4,3,1,6,7,2]=>[2,7,6,1,3,4,8,5]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[2,3,5,6,8,4,7,1]=>[8,2,6,4,7,3,5,1]=>[1,5,3,7,4,6,2,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[2,4,5,8,3,6,7,1]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[5,9,8,7,6,4,3,1,2]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[5,4,8,7,6,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[9,1,2,3,4,5,6,7,8]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[4,5,8,7,6,3,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,5,9,8,7,4,3,1,2]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[8,7,4,6,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[9,5,8,7,6,4,3,1,2]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[6,10,9,8,7,5,4,3,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,1,4,3,6,2,5,7]=>[8,2,6,4,7,3,5,1]=>[1,5,3,7,4,6,2,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[8,1,5,7,6,4,3,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,6,3,7,8,4,2,5]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,3,8,4,6,7,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,3,5,8,6,7,2,1]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,2,7,8,5,6,4,1]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,7,3,8,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,1,4,8,5,6,3,2]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,3,8,7,2,5,6,1]=>[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[1,7,3,8,6,4,5,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,2,8,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,4,8,2,6,7,5,1]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[1,6,3,8,7,4,5,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,4,5,8,7,6,2,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,4,3,5,8,2,6,7]=>[1,6,3,4,8,2,7,5]=>[5,7,2,8,4,3,6,1]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]
[2,1,3,8,6,4,5,7]=>[2,1,3,8,7,6,5,4]=>[4,5,6,7,8,3,1,2]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]
[6,1,4,3,5,8,2,7]=>[7,2,5,4,3,8,1,6]=>[6,1,8,3,4,5,2,7]=>[[.,[[.,.],[.,[.,.]]]],[[.,.],.]]
[7,1,5,4,6,3,8,2]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[8,9,7,6,5,4,3,2,10,1]=>[10,8,7,6,5,4,3,2,9,1]=>[1,9,2,3,4,5,6,7,8,10]=>[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]]
[7,6,8,5,4,3,2,9,1]=>[9,7,6,5,4,3,2,8,1]=>[1,8,2,3,4,5,6,7,9]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]]
[6,8,7,5,4,3,2,9,1]=>[9,7,6,5,4,3,2,8,1]=>[1,8,2,3,4,5,6,7,9]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]]
[6,4,7,8,3,5,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,5,6,7,1,8,4,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,5,2,4,8,6,7,1]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[3,7,6,1,4,8,5,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,4,7,1,5,6,2,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,7,8,3,6,2,5,4]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,3,5,8,1,6,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,3,6,4,1,8,5,2]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,8,4,3,6,1,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,1,6,4,3,8,5,2]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[8,7,3,4,1,5,2,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,2,6,4,3,8,5,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[1,7,5,4,3,8,2,6]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[4,6,7,1,3,8,2,5]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[2,6,3,1,4,7,8,5]=>[4,8,3,1,5,6,7,2]=>[2,7,6,5,1,3,8,4]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]
[2,7,3,4,1,8,5,6]=>[5,8,3,4,1,7,6,2]=>[2,6,7,1,4,3,8,5]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[8,6,4,5,1,3,7,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,4,8,5,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,6,5,1,3,7,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,5,3,8,7,1,2,6]=>[7,6,3,8,5,2,1,4]=>[4,1,2,5,8,3,6,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[8,5,4,7,6,1,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,5,8,2,4,3,1,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,3,7,8,1,4,6,5]=>[5,2,8,7,1,6,4,3]=>[3,4,6,1,7,8,2,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[8,2,3,5,4,1,7,6]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[7,1,3,8,2,4,6,5]=>[8,2,5,7,3,6,4,1]=>[1,4,6,3,7,5,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[7,2,3,6,4,1,8,5]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[6,5,2,4,1,8,3,7]=>[7,5,4,3,2,8,1,6]=>[6,1,8,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[5,7,2,4,1,3,8,6]=>[6,8,5,4,3,1,7,2]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[6,2,5,4,1,8,3,7]=>[7,5,4,3,2,8,1,6]=>[6,1,8,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[4,2,6,3,5,8,1,7]=>[7,4,5,2,3,8,1,6]=>[6,1,8,3,2,5,4,7]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]
[4,2,3,6,5,8,7,10,9,1]=>[10,3,2,5,4,7,6,9,8,1]=>[1,8,9,6,7,4,5,2,3,10]=>[.,[[[[.,[.,.]],[.,.]],[.,.]],[.,[.,.]]]]
[7,4,2,6,8,5,3,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,5,2,4,6,3,1,7]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,4,1,2,8,5,6,3]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[6,4,1,8,5,2,3,7]=>[7,6,3,8,5,2,1,4]=>[4,1,2,5,8,3,6,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[8,4,1,6,3,5,2,7]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,3,4,1,6,8,5,2]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[8,6,2,3,5,7,4,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,6,2,5,7,3,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,3,4,8,5,1,2,7]=>[7,6,5,8,3,2,1,4]=>[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[8,5,1,2,7,4,6,3]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[7,2,6,8,3,4,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,6,7,5,4,8,2,3]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,8,5,4,2,6,3,7]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[8,9,7,6,5,4,1,3,2]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[8,7,9,6,5,4,1,3,2]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,7,8,6,5,4,1,3,2]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,10,8,7,6,5,4,1,3,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,8,7,6,5,4,3,2,9,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[5,7,3,6,2,1,4,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,8,6,1,2,4,3,7]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[1,4,5,7,6,8,2,3]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[5,7,2,1,6,8,4,3]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[2,6,3,1,7,8,5,4]=>[4,8,3,1,7,6,5,2]=>[2,5,6,7,1,3,8,4]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[6,2,5,7,4,1,8,3]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,6,1,8,7,4,5,2]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,8,4,5,6,1,3,9,2]=>[9,7,6,5,4,3,2,8,1]=>[1,8,2,3,4,5,6,7,9]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]]
[4,8,9,5,6,7,2,1,3]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[8,9,4,5,6,7,1,3,10,2]=>[10,8,7,6,5,4,3,2,9,1]=>[1,9,2,3,4,5,6,7,8,10]=>[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]]
[6,8,4,5,1,3,7,9,2]=>[9,7,6,5,4,3,2,8,1]=>[1,8,2,3,4,5,6,7,9]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]]
[4,7,1,3,5,6,8,2]=>[8,6,3,4,5,2,7,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[4,3,5,7,8,2,6,1]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[8,3,4,9,6,7,2,5,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[4,9,10,5,6,7,8,2,1,3]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[5,3,2,7,6,4,1,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[5,3,7,4,6,2,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,7,3,2,1,8,6,4]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,7,6,3,2,1,8,4]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[1,7,3,5,4,2,6,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[5,3,7,4,1,8,6,2]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[7,3,5,4,1,6,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,5,1,6,8,3,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,3,1,7,6,8,2,4]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[7,1,5,3,2,4,8,6]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[7,1,5,2,4,3,6,8]=>[7,2,6,4,5,3,1,8]=>[8,1,3,5,4,6,2,7]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[6,8,7,3,2,1,5,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,6,8,7,2,4,1,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[5,7,3,6,2,1,8,4]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,6,5,2,4,8,1,7]=>[7,5,4,3,2,8,1,6]=>[6,1,8,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[5,6,7,8,9,3,2,1,4]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[6,7,8,9,3,4,1,2,5]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[6,7,8,9,3,4,2,1,5]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[7,8,9,3,4,5,1,2,6]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[7,8,9,3,4,5,2,1,6]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[7,8,9,4,5,2,3,1,6]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[7,8,9,4,5,3,2,1,6]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[8,9,4,5,6,2,3,1,7]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[8,9,4,5,6,3,2,1,7]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[8,9,5,6,3,4,1,2,7]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[8,9,5,6,3,4,2,1,7]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[8,9,5,6,4,3,2,1,7]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,6,7,4,5,3,2,1,8]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[5,6,7,8,9,10,3,2,1,4]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[7,8,9,10,3,4,5,1,2,6]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[7,8,9,10,3,4,5,2,1,6]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[7,8,9,10,4,5,2,3,1,6]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[7,8,9,10,4,5,3,2,1,6]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[7,8,9,10,5,4,3,2,1,6]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,9,10,3,4,5,6,1,2,7]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,9,10,3,4,5,6,2,1,7]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,9,10,4,5,6,1,2,3,7]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,9,10,4,5,6,3,2,1,7]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,9,10,5,6,3,4,1,2,7]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,9,10,5,6,3,4,2,1,7]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,9,10,5,6,4,3,2,1,7]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,9,10,6,5,4,3,2,1,7]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,10,5,6,7,2,3,4,1,8]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,10,5,6,7,3,4,1,2,8]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,10,5,6,7,3,4,2,1,8]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,10,5,6,7,4,3,2,1,8]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,10,6,7,4,5,3,2,1,8]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,10,6,7,5,4,3,2,1,8]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,10,7,6,5,4,3,2,1,8]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,7,8,5,6,3,4,2,1,9]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,7,8,5,6,4,3,2,1,9]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,7,8,6,5,4,3,2,1,9]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[1,8,3,6,2,4,7,5]=>[1,8,5,7,3,6,4,2]=>[2,4,6,3,7,5,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,8,7,5,6,4,2,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,8,2,1,5,4,3,7]=>[7,8,4,3,6,5,1,2]=>[2,1,5,6,3,4,8,7]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]
[2,9,1,10,8,7,3,4,5,6]=>[3,10,1,9,8,7,6,5,4,2]=>[2,4,5,6,7,8,9,1,10,3]=>[[.,.],[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,3,2,1,5,8,4,7]=>[7,4,3,2,5,8,1,6]=>[6,1,8,5,2,3,4,7]=>[[.,[[.,[.,[.,.]]],.]],[[.,.],.]]
[4,3,5,6,2,8,1,7]=>[7,5,3,4,2,8,1,6]=>[6,1,8,2,4,3,5,7]=>[[.,[.,[[.,.],[.,.]]]],[[.,.],.]]
[6,3,5,2,7,8,4,1]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[4,5,3,1,6,8,2,7]=>[7,4,3,2,5,8,1,6]=>[6,1,8,5,2,3,4,7]=>[[.,[[.,[.,[.,.]]],.]],[[.,.],.]]
[3,4,6,7,5,1,8,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,4,1,2,5,6,8,3]=>[8,6,3,4,5,2,7,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[4,8,2,6,7,1,5,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,5,8,3,7,1,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[9,8,7,5,1,6,2,3,4]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,8,7,4,1,5,2,6,3]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,8,6,4,1,7,5,2,3]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,8,7,6,4,1,5,2,3]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,8,7,5,3,1,6,4,2]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[10,9,8,6,1,7,2,3,4,5]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[10,9,8,5,1,6,2,7,3,4]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[10,9,7,5,1,8,6,2,3,4]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[10,9,8,7,5,1,6,2,3,4]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,7,4,1,8,5,2,6,3]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[10,9,8,7,4,1,5,2,6,3]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,8,6,4,1,9,7,5,2,3]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[10,9,8,6,4,1,7,5,2,3]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,8,7,6,4,1,5,2,3]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,7,5,3,1,8,6,4,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,8,7,5,3,1,6,4,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,8,7,6,5,3,1,4,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[1,5,2,4,7,6,8,3]=>[1,8,3,4,6,5,7,2]=>[2,7,5,6,4,3,8,1]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]
[2,5,4,7,1,8,3,6]=>[5,7,3,8,1,6,2,4]=>[4,2,6,1,8,3,7,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[1,5,4,7,3,8,2,6]=>[1,7,5,8,3,6,2,4]=>[4,2,6,3,8,5,7,1]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[1,2,6,7,3,5,4,8]=>[1,2,7,6,5,4,3,8]=>[8,3,4,5,6,7,2,1]=>[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]
[9,10,7,8,5,3,6,4,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,10,7,8,5,3,1,6,4,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,10,7,5,8,6,3,4,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,10,7,5,8,6,3,1,4,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,10,7,5,8,3,6,4,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,10,7,5,8,3,1,6,4,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,10,7,5,3,8,6,4,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,10,7,5,3,8,6,1,4,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,10,7,5,3,8,1,6,4,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,10,7,5,3,1,8,6,4,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,7,10,8,5,6,3,1,4,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,7,10,8,5,3,6,4,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,7,10,8,5,3,6,1,4,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,7,10,8,5,3,1,6,4,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,7,10,5,8,6,3,1,4,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,7,10,5,8,3,1,6,4,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,7,10,5,3,8,6,4,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,7,10,5,3,8,6,1,4,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,7,10,5,3,8,1,6,4,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,7,10,5,3,1,8,6,4,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,7,5,10,8,6,3,4,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,7,5,10,8,6,3,1,4,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,7,5,10,8,3,6,4,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,7,5,10,8,3,6,1,4,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,7,5,10,8,3,1,6,4,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,7,5,10,3,8,6,4,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,7,5,10,3,8,6,1,4,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,7,5,10,3,8,1,6,4,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,7,5,10,3,1,8,6,4,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,7,5,3,10,8,6,4,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,7,5,3,10,8,6,1,4,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,7,5,3,10,8,1,6,4,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,7,5,3,10,1,8,6,4,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[11,12,9,10,7,8,5,6,3,1,4,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,9,10,7,8,5,3,6,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,9,10,7,8,5,3,6,1,4,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,9,10,7,8,5,3,1,6,4,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,9,10,7,5,8,6,3,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,9,10,7,5,8,6,3,1,4,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,9,10,7,5,8,3,6,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,9,10,7,5,8,3,6,1,4,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,9,10,7,5,8,3,1,6,4,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,9,10,7,5,3,8,6,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,9,10,7,5,3,8,6,1,4,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[11,12,9,10,7,5,3,8,1,6,4,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
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[1,5,6,7,8,9,3,2,4]=>[1,9,8,7,5,6,4,3,2]=>[2,3,4,6,5,7,8,9,1]=>[[.,.],[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
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[1,3,8,6,7,4,5,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
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[6,4,8,7,3,2,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
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[3,7,5,6,4,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
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[8,3,6,5,2,7,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
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[6,4,5,1,8,7,3,2]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
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[10,9,3,4,5,6,8,7,2,1]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[9,8,3,4,5,7,6,2,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,8,4,3,5,6,7,2,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[10,9,4,3,5,6,7,8,2,1]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[7,8,6,1,4,3,5,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,3,6,2,5,7,1,8]=>[7,4,5,2,3,6,1,8]=>[8,1,6,3,2,5,4,7]=>[[.,[[[.,.],[[.,.],.]],[.,.]]],.]
[1,2,3,4,9,7,5,6,8]=>[1,2,3,4,9,8,7,6,5]=>[5,6,7,8,9,4,3,2,1]=>[[[[[.,.],.],.],.],[.,[.,[.,[.,.]]]]]
[8,2,6,5,1,7,4,3]=>[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[7,6,4,1,2,5,8,3]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[2,6,5,4,8,7,1,3]=>[7,8,4,3,6,5,1,2]=>[2,1,5,6,3,4,8,7]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]
[5,6,7,1,3,2,4,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,1,8,4,3,2,6,5]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,8,5,2,7,6,4,3]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,7,6,8,2,5,4,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,7,8,6,2,5,4,3]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,6,5,7,1,8,2,3]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,5,3,6,8,4,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,2,5,6,4,8,3,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,4,6,2,8,5,3,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[9,7,6,5,4,3,8,2,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,8,6,5,4,7,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[5,4,3,2,1,9,7,8,6]=>[5,4,3,2,1,9,8,7,6]=>[6,7,8,9,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,.]]]]
[10,8,7,6,5,4,3,9,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,7,6,5,4,8,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[1,6,3,4,2,5,8,7]=>[1,6,5,4,3,2,8,7]=>[7,8,2,3,4,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]
[1,4,3,7,6,2,5,8]=>[1,6,3,7,5,2,4,8]=>[8,4,2,5,7,3,6,1]=>[[[[.,.],[.,.]],[.,[[.,.],.]]],.]
[1,3,7,4,6,8,5,2]=>[1,8,7,4,5,6,3,2]=>[2,3,6,5,4,7,8,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[3,7,4,6,8,1,5,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,8,3,1,7,6,2,5]=>[7,8,4,3,6,5,1,2]=>[2,1,5,6,3,4,8,7]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]
[2,6,7,5,3,4,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[2,4,1,7,5,6,8,3]=>[3,8,1,6,5,4,7,2]=>[2,7,4,5,6,1,8,3]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[7,2,4,8,3,5,1,6]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[5,8,6,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,1,3,7,8,6,5,2]=>[8,2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
Map
Demazure product with inverse
Description
This map sends a permutation π to π−1⋆π where ⋆ denotes the Demazure product on permutations.
This map is a surjection onto the set of involutions, i.e., the set of permutations π for which π=π−1.
This map is a surjection onto the set of involutions, i.e., the set of permutations π for which π=π−1.
Map
reverse
Description
Sends a permutation to its reverse.
The reverse of a permutation σ of length n is given by τ with τ(i)=σ(n+1−i).
The reverse of a permutation σ of length n is given by τ with τ(i)=σ(n+1−i).
Map
binary search tree: left to right
Description
Return the shape of the binary search tree of the permutation as a non labelled binary tree.
searching the database
Sorry, this map was not found in the database.