Identifier
Mp00159:
Permutations
—Demazure product with inverse⟶
Permutations
Mp00069: Permutations —complement⟶ Permutations
Mp00061: Permutations —to increasing tree⟶ Binary trees
Mp00069: Permutations —complement⟶ Permutations
Mp00061: Permutations —to increasing tree⟶ Binary trees
Images
=>
Cc0010;cc-rep-3
[1]=>[1]=>[1]=>[.,.]
[1,2]=>[1,2]=>[2,1]=>[[.,.],.]
[2,1]=>[2,1]=>[1,2]=>[.,[.,.]]
[1,2,3]=>[1,2,3]=>[3,2,1]=>[[[.,.],.],.]
[1,3,2]=>[1,3,2]=>[3,1,2]=>[[.,.],[.,.]]
[2,1,3]=>[2,1,3]=>[2,3,1]=>[[.,[.,.]],.]
[2,3,1]=>[3,2,1]=>[1,2,3]=>[.,[.,[.,.]]]
[3,1,2]=>[3,2,1]=>[1,2,3]=>[.,[.,[.,.]]]
[3,2,1]=>[3,2,1]=>[1,2,3]=>[.,[.,[.,.]]]
[1,2,3,4]=>[1,2,3,4]=>[4,3,2,1]=>[[[[.,.],.],.],.]
[1,2,4,3]=>[1,2,4,3]=>[4,3,1,2]=>[[[.,.],.],[.,.]]
[1,3,2,4]=>[1,3,2,4]=>[4,2,3,1]=>[[[.,.],[.,.]],.]
[1,3,4,2]=>[1,4,3,2]=>[4,1,2,3]=>[[.,.],[.,[.,.]]]
[1,4,2,3]=>[1,4,3,2]=>[4,1,2,3]=>[[.,.],[.,[.,.]]]
[1,4,3,2]=>[1,4,3,2]=>[4,1,2,3]=>[[.,.],[.,[.,.]]]
[2,1,3,4]=>[2,1,3,4]=>[3,4,2,1]=>[[[.,[.,.]],.],.]
[2,1,4,3]=>[2,1,4,3]=>[3,4,1,2]=>[[.,[.,.]],[.,.]]
[2,3,1,4]=>[3,2,1,4]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[2,3,4,1]=>[4,2,3,1]=>[1,3,2,4]=>[.,[[.,.],[.,.]]]
[2,4,1,3]=>[3,4,1,2]=>[2,1,4,3]=>[[.,.],[[.,.],.]]
[2,4,3,1]=>[4,3,2,1]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[3,1,2,4]=>[3,2,1,4]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[3,1,4,2]=>[4,2,3,1]=>[1,3,2,4]=>[.,[[.,.],[.,.]]]
[3,2,1,4]=>[3,2,1,4]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[3,2,4,1]=>[4,2,3,1]=>[1,3,2,4]=>[.,[[.,.],[.,.]]]
[3,4,1,2]=>[4,3,2,1]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[3,4,2,1]=>[4,3,2,1]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[4,1,2,3]=>[4,2,3,1]=>[1,3,2,4]=>[.,[[.,.],[.,.]]]
[4,1,3,2]=>[4,2,3,1]=>[1,3,2,4]=>[.,[[.,.],[.,.]]]
[4,2,1,3]=>[4,3,2,1]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[4,2,3,1]=>[4,3,2,1]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[4,3,1,2]=>[4,3,2,1]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[4,3,2,1]=>[4,3,2,1]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[1,2,3,4,5]=>[1,2,3,4,5]=>[5,4,3,2,1]=>[[[[[.,.],.],.],.],.]
[1,2,3,5,4]=>[1,2,3,5,4]=>[5,4,3,1,2]=>[[[[.,.],.],.],[.,.]]
[1,2,4,3,5]=>[1,2,4,3,5]=>[5,4,2,3,1]=>[[[[.,.],.],[.,.]],.]
[1,2,4,5,3]=>[1,2,5,4,3]=>[5,4,1,2,3]=>[[[.,.],.],[.,[.,.]]]
[1,2,5,3,4]=>[1,2,5,4,3]=>[5,4,1,2,3]=>[[[.,.],.],[.,[.,.]]]
[1,2,5,4,3]=>[1,2,5,4,3]=>[5,4,1,2,3]=>[[[.,.],.],[.,[.,.]]]
[1,3,2,4,5]=>[1,3,2,4,5]=>[5,3,4,2,1]=>[[[[.,.],[.,.]],.],.]
[1,3,2,5,4]=>[1,3,2,5,4]=>[5,3,4,1,2]=>[[[.,.],[.,.]],[.,.]]
[1,3,4,2,5]=>[1,4,3,2,5]=>[5,2,3,4,1]=>[[[.,.],[.,[.,.]]],.]
[1,3,4,5,2]=>[1,5,3,4,2]=>[5,1,3,2,4]=>[[.,.],[[.,.],[.,.]]]
[1,3,5,2,4]=>[1,4,5,2,3]=>[5,2,1,4,3]=>[[[.,.],.],[[.,.],.]]
[1,3,5,4,2]=>[1,5,4,3,2]=>[5,1,2,3,4]=>[[.,.],[.,[.,[.,.]]]]
[1,4,2,3,5]=>[1,4,3,2,5]=>[5,2,3,4,1]=>[[[.,.],[.,[.,.]]],.]
[1,4,2,5,3]=>[1,5,3,4,2]=>[5,1,3,2,4]=>[[.,.],[[.,.],[.,.]]]
[1,4,3,2,5]=>[1,4,3,2,5]=>[5,2,3,4,1]=>[[[.,.],[.,[.,.]]],.]
[1,4,3,5,2]=>[1,5,3,4,2]=>[5,1,3,2,4]=>[[.,.],[[.,.],[.,.]]]
[1,4,5,2,3]=>[1,5,4,3,2]=>[5,1,2,3,4]=>[[.,.],[.,[.,[.,.]]]]
[1,4,5,3,2]=>[1,5,4,3,2]=>[5,1,2,3,4]=>[[.,.],[.,[.,[.,.]]]]
[1,5,2,3,4]=>[1,5,3,4,2]=>[5,1,3,2,4]=>[[.,.],[[.,.],[.,.]]]
[1,5,2,4,3]=>[1,5,3,4,2]=>[5,1,3,2,4]=>[[.,.],[[.,.],[.,.]]]
[1,5,3,2,4]=>[1,5,4,3,2]=>[5,1,2,3,4]=>[[.,.],[.,[.,[.,.]]]]
[1,5,3,4,2]=>[1,5,4,3,2]=>[5,1,2,3,4]=>[[.,.],[.,[.,[.,.]]]]
[1,5,4,2,3]=>[1,5,4,3,2]=>[5,1,2,3,4]=>[[.,.],[.,[.,[.,.]]]]
[1,5,4,3,2]=>[1,5,4,3,2]=>[5,1,2,3,4]=>[[.,.],[.,[.,[.,.]]]]
[2,1,3,4,5]=>[2,1,3,4,5]=>[4,5,3,2,1]=>[[[[.,[.,.]],.],.],.]
[2,1,3,5,4]=>[2,1,3,5,4]=>[4,5,3,1,2]=>[[[.,[.,.]],.],[.,.]]
[2,1,4,3,5]=>[2,1,4,3,5]=>[4,5,2,3,1]=>[[[.,[.,.]],[.,.]],.]
[2,1,4,5,3]=>[2,1,5,4,3]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[2,1,5,3,4]=>[2,1,5,4,3]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[2,1,5,4,3]=>[2,1,5,4,3]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[2,3,1,4,5]=>[3,2,1,4,5]=>[3,4,5,2,1]=>[[[.,[.,[.,.]]],.],.]
[2,3,1,5,4]=>[3,2,1,5,4]=>[3,4,5,1,2]=>[[.,[.,[.,.]]],[.,.]]
[2,3,4,1,5]=>[4,2,3,1,5]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]
[2,3,4,5,1]=>[5,2,3,4,1]=>[1,4,3,2,5]=>[.,[[[.,.],.],[.,.]]]
[2,3,5,1,4]=>[4,2,5,1,3]=>[2,4,1,5,3]=>[[.,[.,.]],[[.,.],.]]
[2,3,5,4,1]=>[5,2,4,3,1]=>[1,4,2,3,5]=>[.,[[.,.],[.,[.,.]]]]
[2,4,1,3,5]=>[3,4,1,2,5]=>[3,2,5,4,1]=>[[[.,.],[[.,.],.]],.]
[2,4,1,5,3]=>[3,5,1,4,2]=>[3,1,5,2,4]=>[[.,.],[[.,.],[.,.]]]
[2,4,3,1,5]=>[4,3,2,1,5]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[2,4,3,5,1]=>[5,3,2,4,1]=>[1,3,4,2,5]=>[.,[[.,[.,.]],[.,.]]]
[2,4,5,1,3]=>[4,5,3,1,2]=>[2,1,3,5,4]=>[[.,.],[.,[[.,.],.]]]
[2,4,5,3,1]=>[5,4,3,2,1]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[2,5,1,3,4]=>[3,5,1,4,2]=>[3,1,5,2,4]=>[[.,.],[[.,.],[.,.]]]
[2,5,1,4,3]=>[3,5,1,4,2]=>[3,1,5,2,4]=>[[.,.],[[.,.],[.,.]]]
[2,5,3,1,4]=>[4,5,3,1,2]=>[2,1,3,5,4]=>[[.,.],[.,[[.,.],.]]]
[2,5,3,4,1]=>[5,4,3,2,1]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[2,5,4,1,3]=>[4,5,3,1,2]=>[2,1,3,5,4]=>[[.,.],[.,[[.,.],.]]]
[2,5,4,3,1]=>[5,4,3,2,1]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[3,1,2,4,5]=>[3,2,1,4,5]=>[3,4,5,2,1]=>[[[.,[.,[.,.]]],.],.]
[3,1,2,5,4]=>[3,2,1,5,4]=>[3,4,5,1,2]=>[[.,[.,[.,.]]],[.,.]]
[3,1,4,2,5]=>[4,2,3,1,5]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]
[3,1,4,5,2]=>[5,2,3,4,1]=>[1,4,3,2,5]=>[.,[[[.,.],.],[.,.]]]
[3,1,5,2,4]=>[4,2,5,1,3]=>[2,4,1,5,3]=>[[.,[.,.]],[[.,.],.]]
[3,1,5,4,2]=>[5,2,4,3,1]=>[1,4,2,3,5]=>[.,[[.,.],[.,[.,.]]]]
[3,2,1,4,5]=>[3,2,1,4,5]=>[3,4,5,2,1]=>[[[.,[.,[.,.]]],.],.]
[3,2,1,5,4]=>[3,2,1,5,4]=>[3,4,5,1,2]=>[[.,[.,[.,.]]],[.,.]]
[3,2,4,1,5]=>[4,2,3,1,5]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]
[3,2,4,5,1]=>[5,2,3,4,1]=>[1,4,3,2,5]=>[.,[[[.,.],.],[.,.]]]
[3,2,5,1,4]=>[4,2,5,1,3]=>[2,4,1,5,3]=>[[.,[.,.]],[[.,.],.]]
[3,2,5,4,1]=>[5,2,4,3,1]=>[1,4,2,3,5]=>[.,[[.,.],[.,[.,.]]]]
[3,4,1,2,5]=>[4,3,2,1,5]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[3,4,1,5,2]=>[5,3,2,4,1]=>[1,3,4,2,5]=>[.,[[.,[.,.]],[.,.]]]
[3,4,2,1,5]=>[4,3,2,1,5]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[3,4,2,5,1]=>[5,3,2,4,1]=>[1,3,4,2,5]=>[.,[[.,[.,.]],[.,.]]]
[3,4,5,1,2]=>[5,4,3,2,1]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[3,4,5,2,1]=>[5,4,3,2,1]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[3,5,1,2,4]=>[4,5,3,1,2]=>[2,1,3,5,4]=>[[.,.],[.,[[.,.],.]]]
[3,5,1,4,2]=>[5,4,3,2,1]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[3,5,2,1,4]=>[4,5,3,1,2]=>[2,1,3,5,4]=>[[.,.],[.,[[.,.],.]]]
[3,5,2,4,1]=>[5,4,3,2,1]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[3,5,4,1,2]=>[5,4,3,2,1]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[3,5,4,2,1]=>[5,4,3,2,1]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[4,1,2,3,5]=>[4,2,3,1,5]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]
[4,1,2,5,3]=>[5,2,3,4,1]=>[1,4,3,2,5]=>[.,[[[.,.],.],[.,.]]]
[4,1,3,2,5]=>[4,2,3,1,5]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]
[4,1,3,5,2]=>[5,2,3,4,1]=>[1,4,3,2,5]=>[.,[[[.,.],.],[.,.]]]
[4,1,5,2,3]=>[5,2,4,3,1]=>[1,4,2,3,5]=>[.,[[.,.],[.,[.,.]]]]
[4,1,5,3,2]=>[5,2,4,3,1]=>[1,4,2,3,5]=>[.,[[.,.],[.,[.,.]]]]
[4,2,1,3,5]=>[4,3,2,1,5]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[4,2,1,5,3]=>[5,3,2,4,1]=>[1,3,4,2,5]=>[.,[[.,[.,.]],[.,.]]]
[4,2,3,1,5]=>[4,3,2,1,5]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[4,2,3,5,1]=>[5,3,2,4,1]=>[1,3,4,2,5]=>[.,[[.,[.,.]],[.,.]]]
[4,2,5,1,3]=>[5,4,3,2,1]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[4,2,5,3,1]=>[5,4,3,2,1]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[4,3,1,2,5]=>[4,3,2,1,5]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[4,3,1,5,2]=>[5,3,2,4,1]=>[1,3,4,2,5]=>[.,[[.,[.,.]],[.,.]]]
[4,3,2,1,5]=>[4,3,2,1,5]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[4,3,2,5,1]=>[5,3,2,4,1]=>[1,3,4,2,5]=>[.,[[.,[.,.]],[.,.]]]
[4,3,5,1,2]=>[5,4,3,2,1]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[4,3,5,2,1]=>[5,4,3,2,1]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[4,5,1,2,3]=>[5,4,3,2,1]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[4,5,1,3,2]=>[5,4,3,2,1]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[4,5,2,1,3]=>[5,4,3,2,1]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[4,5,2,3,1]=>[5,4,3,2,1]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[4,5,3,1,2]=>[5,4,3,2,1]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[4,5,3,2,1]=>[5,4,3,2,1]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[5,1,2,3,4]=>[5,2,3,4,1]=>[1,4,3,2,5]=>[.,[[[.,.],.],[.,.]]]
[5,1,2,4,3]=>[5,2,3,4,1]=>[1,4,3,2,5]=>[.,[[[.,.],.],[.,.]]]
[5,1,3,2,4]=>[5,2,4,3,1]=>[1,4,2,3,5]=>[.,[[.,.],[.,[.,.]]]]
[5,1,3,4,2]=>[5,2,4,3,1]=>[1,4,2,3,5]=>[.,[[.,.],[.,[.,.]]]]
[5,1,4,2,3]=>[5,2,4,3,1]=>[1,4,2,3,5]=>[.,[[.,.],[.,[.,.]]]]
[5,1,4,3,2]=>[5,2,4,3,1]=>[1,4,2,3,5]=>[.,[[.,.],[.,[.,.]]]]
[5,2,1,3,4]=>[5,3,2,4,1]=>[1,3,4,2,5]=>[.,[[.,[.,.]],[.,.]]]
[5,2,1,4,3]=>[5,3,2,4,1]=>[1,3,4,2,5]=>[.,[[.,[.,.]],[.,.]]]
[5,2,3,1,4]=>[5,4,3,2,1]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[5,2,3,4,1]=>[5,4,3,2,1]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[5,2,4,1,3]=>[5,4,3,2,1]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[5,2,4,3,1]=>[5,4,3,2,1]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[5,3,1,2,4]=>[5,4,3,2,1]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[5,3,1,4,2]=>[5,4,3,2,1]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[5,3,2,1,4]=>[5,4,3,2,1]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[5,3,2,4,1]=>[5,4,3,2,1]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[5,3,4,1,2]=>[5,4,3,2,1]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[5,3,4,2,1]=>[5,4,3,2,1]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[5,4,1,2,3]=>[5,4,3,2,1]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[5,4,1,3,2]=>[5,4,3,2,1]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[5,4,2,1,3]=>[5,4,3,2,1]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[5,4,2,3,1]=>[5,4,3,2,1]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[5,4,3,1,2]=>[5,4,3,2,1]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[5,4,3,2,1]=>[5,4,3,2,1]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>[6,5,4,3,1,2]=>[[[[[.,.],.],.],.],[.,.]]
[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>[6,5,4,2,3,1]=>[[[[[.,.],.],.],[.,.]],.]
[1,2,3,5,6,4]=>[1,2,3,6,5,4]=>[6,5,4,1,2,3]=>[[[[.,.],.],.],[.,[.,.]]]
[1,2,3,6,4,5]=>[1,2,3,6,5,4]=>[6,5,4,1,2,3]=>[[[[.,.],.],.],[.,[.,.]]]
[1,2,3,6,5,4]=>[1,2,3,6,5,4]=>[6,5,4,1,2,3]=>[[[[.,.],.],.],[.,[.,.]]]
[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>[6,5,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[1,2,4,3,6,5]=>[1,2,4,3,6,5]=>[6,5,3,4,1,2]=>[[[[.,.],.],[.,.]],[.,.]]
[1,2,4,5,3,6]=>[1,2,5,4,3,6]=>[6,5,2,3,4,1]=>[[[[.,.],.],[.,[.,.]]],.]
[1,2,4,5,6,3]=>[1,2,6,4,5,3]=>[6,5,1,3,2,4]=>[[[.,.],.],[[.,.],[.,.]]]
[1,2,4,6,3,5]=>[1,2,5,6,3,4]=>[6,5,2,1,4,3]=>[[[[.,.],.],.],[[.,.],.]]
[1,2,4,6,5,3]=>[1,2,6,5,4,3]=>[6,5,1,2,3,4]=>[[[.,.],.],[.,[.,[.,.]]]]
[1,2,5,3,4,6]=>[1,2,5,4,3,6]=>[6,5,2,3,4,1]=>[[[[.,.],.],[.,[.,.]]],.]
[1,2,5,3,6,4]=>[1,2,6,4,5,3]=>[6,5,1,3,2,4]=>[[[.,.],.],[[.,.],[.,.]]]
[1,2,5,4,3,6]=>[1,2,5,4,3,6]=>[6,5,2,3,4,1]=>[[[[.,.],.],[.,[.,.]]],.]
[1,2,5,4,6,3]=>[1,2,6,4,5,3]=>[6,5,1,3,2,4]=>[[[.,.],.],[[.,.],[.,.]]]
[1,2,5,6,3,4]=>[1,2,6,5,4,3]=>[6,5,1,2,3,4]=>[[[.,.],.],[.,[.,[.,.]]]]
[1,2,5,6,4,3]=>[1,2,6,5,4,3]=>[6,5,1,2,3,4]=>[[[.,.],.],[.,[.,[.,.]]]]
[1,2,6,3,4,5]=>[1,2,6,4,5,3]=>[6,5,1,3,2,4]=>[[[.,.],.],[[.,.],[.,.]]]
[1,2,6,3,5,4]=>[1,2,6,4,5,3]=>[6,5,1,3,2,4]=>[[[.,.],.],[[.,.],[.,.]]]
[1,2,6,4,3,5]=>[1,2,6,5,4,3]=>[6,5,1,2,3,4]=>[[[.,.],.],[.,[.,[.,.]]]]
[1,2,6,4,5,3]=>[1,2,6,5,4,3]=>[6,5,1,2,3,4]=>[[[.,.],.],[.,[.,[.,.]]]]
[1,2,6,5,3,4]=>[1,2,6,5,4,3]=>[6,5,1,2,3,4]=>[[[.,.],.],[.,[.,[.,.]]]]
[1,2,6,5,4,3]=>[1,2,6,5,4,3]=>[6,5,1,2,3,4]=>[[[.,.],.],[.,[.,[.,.]]]]
[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>[6,4,5,3,2,1]=>[[[[[.,.],[.,.]],.],.],.]
[1,3,2,4,6,5]=>[1,3,2,4,6,5]=>[6,4,5,3,1,2]=>[[[[.,.],[.,.]],.],[.,.]]
[1,3,2,5,4,6]=>[1,3,2,5,4,6]=>[6,4,5,2,3,1]=>[[[[.,.],[.,.]],[.,.]],.]
[1,3,2,5,6,4]=>[1,3,2,6,5,4]=>[6,4,5,1,2,3]=>[[[.,.],[.,.]],[.,[.,.]]]
[1,3,2,6,4,5]=>[1,3,2,6,5,4]=>[6,4,5,1,2,3]=>[[[.,.],[.,.]],[.,[.,.]]]
[1,3,2,6,5,4]=>[1,3,2,6,5,4]=>[6,4,5,1,2,3]=>[[[.,.],[.,.]],[.,[.,.]]]
[1,3,4,2,5,6]=>[1,4,3,2,5,6]=>[6,3,4,5,2,1]=>[[[[.,.],[.,[.,.]]],.],.]
[1,3,4,2,6,5]=>[1,4,3,2,6,5]=>[6,3,4,5,1,2]=>[[[.,.],[.,[.,.]]],[.,.]]
[1,3,4,5,2,6]=>[1,5,3,4,2,6]=>[6,2,4,3,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[1,3,4,5,6,2]=>[1,6,3,4,5,2]=>[6,1,4,3,2,5]=>[[.,.],[[[.,.],.],[.,.]]]
[1,3,4,6,2,5]=>[1,5,3,6,2,4]=>[6,2,4,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[1,3,4,6,5,2]=>[1,6,3,5,4,2]=>[6,1,4,2,3,5]=>[[.,.],[[.,.],[.,[.,.]]]]
[1,3,5,2,4,6]=>[1,4,5,2,3,6]=>[6,3,2,5,4,1]=>[[[[.,.],.],[[.,.],.]],.]
[1,3,5,2,6,4]=>[1,4,6,2,5,3]=>[6,3,1,5,2,4]=>[[[.,.],.],[[.,.],[.,.]]]
[1,3,5,4,2,6]=>[1,5,4,3,2,6]=>[6,2,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[1,3,5,4,6,2]=>[1,6,4,3,5,2]=>[6,1,3,4,2,5]=>[[.,.],[[.,[.,.]],[.,.]]]
[1,3,5,6,2,4]=>[1,5,6,4,2,3]=>[6,2,1,3,5,4]=>[[[.,.],.],[.,[[.,.],.]]]
[1,3,5,6,4,2]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>[[.,.],[.,[.,[.,[.,.]]]]]
[1,3,6,2,4,5]=>[1,4,6,2,5,3]=>[6,3,1,5,2,4]=>[[[.,.],.],[[.,.],[.,.]]]
[1,3,6,2,5,4]=>[1,4,6,2,5,3]=>[6,3,1,5,2,4]=>[[[.,.],.],[[.,.],[.,.]]]
[1,3,6,4,2,5]=>[1,5,6,4,2,3]=>[6,2,1,3,5,4]=>[[[.,.],.],[.,[[.,.],.]]]
[1,3,6,4,5,2]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>[[.,.],[.,[.,[.,[.,.]]]]]
[1,3,6,5,2,4]=>[1,5,6,4,2,3]=>[6,2,1,3,5,4]=>[[[.,.],.],[.,[[.,.],.]]]
[1,3,6,5,4,2]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>[[.,.],[.,[.,[.,[.,.]]]]]
[1,4,2,3,5,6]=>[1,4,3,2,5,6]=>[6,3,4,5,2,1]=>[[[[.,.],[.,[.,.]]],.],.]
[1,4,2,3,6,5]=>[1,4,3,2,6,5]=>[6,3,4,5,1,2]=>[[[.,.],[.,[.,.]]],[.,.]]
[1,4,2,5,3,6]=>[1,5,3,4,2,6]=>[6,2,4,3,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[1,4,2,5,6,3]=>[1,6,3,4,5,2]=>[6,1,4,3,2,5]=>[[.,.],[[[.,.],.],[.,.]]]
[1,4,2,6,3,5]=>[1,5,3,6,2,4]=>[6,2,4,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[1,4,2,6,5,3]=>[1,6,3,5,4,2]=>[6,1,4,2,3,5]=>[[.,.],[[.,.],[.,[.,.]]]]
[1,4,3,2,5,6]=>[1,4,3,2,5,6]=>[6,3,4,5,2,1]=>[[[[.,.],[.,[.,.]]],.],.]
[1,4,3,2,6,5]=>[1,4,3,2,6,5]=>[6,3,4,5,1,2]=>[[[.,.],[.,[.,.]]],[.,.]]
[1,4,3,5,2,6]=>[1,5,3,4,2,6]=>[6,2,4,3,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[1,4,3,5,6,2]=>[1,6,3,4,5,2]=>[6,1,4,3,2,5]=>[[.,.],[[[.,.],.],[.,.]]]
[1,4,3,6,2,5]=>[1,5,3,6,2,4]=>[6,2,4,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[1,4,3,6,5,2]=>[1,6,3,5,4,2]=>[6,1,4,2,3,5]=>[[.,.],[[.,.],[.,[.,.]]]]
[1,4,5,2,3,6]=>[1,5,4,3,2,6]=>[6,2,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[1,4,5,2,6,3]=>[1,6,4,3,5,2]=>[6,1,3,4,2,5]=>[[.,.],[[.,[.,.]],[.,.]]]
[1,4,5,3,2,6]=>[1,5,4,3,2,6]=>[6,2,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[1,4,5,3,6,2]=>[1,6,4,3,5,2]=>[6,1,3,4,2,5]=>[[.,.],[[.,[.,.]],[.,.]]]
[1,4,5,6,2,3]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>[[.,.],[.,[.,[.,[.,.]]]]]
[1,4,5,6,3,2]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>[[.,.],[.,[.,[.,[.,.]]]]]
[1,4,6,2,3,5]=>[1,5,6,4,2,3]=>[6,2,1,3,5,4]=>[[[.,.],.],[.,[[.,.],.]]]
[1,4,6,2,5,3]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>[[.,.],[.,[.,[.,[.,.]]]]]
[1,4,6,3,2,5]=>[1,5,6,4,2,3]=>[6,2,1,3,5,4]=>[[[.,.],.],[.,[[.,.],.]]]
[1,4,6,3,5,2]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>[[.,.],[.,[.,[.,[.,.]]]]]
[1,4,6,5,2,3]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>[[.,.],[.,[.,[.,[.,.]]]]]
[1,4,6,5,3,2]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>[[.,.],[.,[.,[.,[.,.]]]]]
[1,5,2,3,4,6]=>[1,5,3,4,2,6]=>[6,2,4,3,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[1,5,2,3,6,4]=>[1,6,3,4,5,2]=>[6,1,4,3,2,5]=>[[.,.],[[[.,.],.],[.,.]]]
[1,5,2,4,3,6]=>[1,5,3,4,2,6]=>[6,2,4,3,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[1,5,2,4,6,3]=>[1,6,3,4,5,2]=>[6,1,4,3,2,5]=>[[.,.],[[[.,.],.],[.,.]]]
[1,5,2,6,3,4]=>[1,6,3,5,4,2]=>[6,1,4,2,3,5]=>[[.,.],[[.,.],[.,[.,.]]]]
[1,5,2,6,4,3]=>[1,6,3,5,4,2]=>[6,1,4,2,3,5]=>[[.,.],[[.,.],[.,[.,.]]]]
[1,5,3,2,4,6]=>[1,5,4,3,2,6]=>[6,2,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[1,5,3,2,6,4]=>[1,6,4,3,5,2]=>[6,1,3,4,2,5]=>[[.,.],[[.,[.,.]],[.,.]]]
[1,5,3,4,2,6]=>[1,5,4,3,2,6]=>[6,2,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[1,5,3,4,6,2]=>[1,6,4,3,5,2]=>[6,1,3,4,2,5]=>[[.,.],[[.,[.,.]],[.,.]]]
[1,5,3,6,2,4]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>[[.,.],[.,[.,[.,[.,.]]]]]
[1,5,3,6,4,2]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>[[.,.],[.,[.,[.,[.,.]]]]]
[1,5,4,2,3,6]=>[1,5,4,3,2,6]=>[6,2,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[1,5,4,2,6,3]=>[1,6,4,3,5,2]=>[6,1,3,4,2,5]=>[[.,.],[[.,[.,.]],[.,.]]]
[1,5,4,3,2,6]=>[1,5,4,3,2,6]=>[6,2,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[1,5,4,3,6,2]=>[1,6,4,3,5,2]=>[6,1,3,4,2,5]=>[[.,.],[[.,[.,.]],[.,.]]]
[1,5,4,6,2,3]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>[[.,.],[.,[.,[.,[.,.]]]]]
[1,5,4,6,3,2]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>[[.,.],[.,[.,[.,[.,.]]]]]
[1,5,6,2,3,4]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>[[.,.],[.,[.,[.,[.,.]]]]]
[1,5,6,2,4,3]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>[[.,.],[.,[.,[.,[.,.]]]]]
[1,5,6,3,2,4]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>[[.,.],[.,[.,[.,[.,.]]]]]
[1,5,6,3,4,2]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>[[.,.],[.,[.,[.,[.,.]]]]]
[1,5,6,4,2,3]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>[[.,.],[.,[.,[.,[.,.]]]]]
[1,5,6,4,3,2]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>[[.,.],[.,[.,[.,[.,.]]]]]
[1,6,2,3,4,5]=>[1,6,3,4,5,2]=>[6,1,4,3,2,5]=>[[.,.],[[[.,.],.],[.,.]]]
[1,6,2,3,5,4]=>[1,6,3,4,5,2]=>[6,1,4,3,2,5]=>[[.,.],[[[.,.],.],[.,.]]]
[1,6,2,4,3,5]=>[1,6,3,5,4,2]=>[6,1,4,2,3,5]=>[[.,.],[[.,.],[.,[.,.]]]]
[1,6,2,4,5,3]=>[1,6,3,5,4,2]=>[6,1,4,2,3,5]=>[[.,.],[[.,.],[.,[.,.]]]]
[1,6,2,5,3,4]=>[1,6,3,5,4,2]=>[6,1,4,2,3,5]=>[[.,.],[[.,.],[.,[.,.]]]]
[1,6,2,5,4,3]=>[1,6,3,5,4,2]=>[6,1,4,2,3,5]=>[[.,.],[[.,.],[.,[.,.]]]]
[1,6,3,2,4,5]=>[1,6,4,3,5,2]=>[6,1,3,4,2,5]=>[[.,.],[[.,[.,.]],[.,.]]]
[1,6,3,2,5,4]=>[1,6,4,3,5,2]=>[6,1,3,4,2,5]=>[[.,.],[[.,[.,.]],[.,.]]]
[1,6,3,4,2,5]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>[[.,.],[.,[.,[.,[.,.]]]]]
[1,6,3,4,5,2]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>[[.,.],[.,[.,[.,[.,.]]]]]
[1,6,3,5,2,4]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>[[.,.],[.,[.,[.,[.,.]]]]]
[1,6,3,5,4,2]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>[[.,.],[.,[.,[.,[.,.]]]]]
[1,6,4,2,3,5]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>[[.,.],[.,[.,[.,[.,.]]]]]
[1,6,4,2,5,3]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>[[.,.],[.,[.,[.,[.,.]]]]]
[1,6,4,3,2,5]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>[[.,.],[.,[.,[.,[.,.]]]]]
[1,6,4,3,5,2]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>[[.,.],[.,[.,[.,[.,.]]]]]
[1,6,4,5,2,3]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>[[.,.],[.,[.,[.,[.,.]]]]]
[1,6,4,5,3,2]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>[[.,.],[.,[.,[.,[.,.]]]]]
[1,6,5,2,3,4]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>[[.,.],[.,[.,[.,[.,.]]]]]
[1,6,5,2,4,3]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>[[.,.],[.,[.,[.,[.,.]]]]]
[1,6,5,3,2,4]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>[[.,.],[.,[.,[.,[.,.]]]]]
[1,6,5,3,4,2]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>[[.,.],[.,[.,[.,[.,.]]]]]
[1,6,5,4,2,3]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>[[.,.],[.,[.,[.,[.,.]]]]]
[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>[[.,.],[.,[.,[.,[.,.]]]]]
[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>[5,6,4,3,2,1]=>[[[[[.,[.,.]],.],.],.],.]
[2,1,3,4,6,5]=>[2,1,3,4,6,5]=>[5,6,4,3,1,2]=>[[[[.,[.,.]],.],.],[.,.]]
[2,1,3,5,4,6]=>[2,1,3,5,4,6]=>[5,6,4,2,3,1]=>[[[[.,[.,.]],.],[.,.]],.]
[2,1,3,5,6,4]=>[2,1,3,6,5,4]=>[5,6,4,1,2,3]=>[[[.,[.,.]],.],[.,[.,.]]]
[2,1,3,6,4,5]=>[2,1,3,6,5,4]=>[5,6,4,1,2,3]=>[[[.,[.,.]],.],[.,[.,.]]]
[2,1,3,6,5,4]=>[2,1,3,6,5,4]=>[5,6,4,1,2,3]=>[[[.,[.,.]],.],[.,[.,.]]]
[2,1,4,3,5,6]=>[2,1,4,3,5,6]=>[5,6,3,4,2,1]=>[[[[.,[.,.]],[.,.]],.],.]
[2,1,4,3,6,5]=>[2,1,4,3,6,5]=>[5,6,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[2,1,4,5,3,6]=>[2,1,5,4,3,6]=>[5,6,2,3,4,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[2,1,4,5,6,3]=>[2,1,6,4,5,3]=>[5,6,1,3,2,4]=>[[.,[.,.]],[[.,.],[.,.]]]
[2,1,4,6,3,5]=>[2,1,5,6,3,4]=>[5,6,2,1,4,3]=>[[[.,[.,.]],.],[[.,.],.]]
[2,1,4,6,5,3]=>[2,1,6,5,4,3]=>[5,6,1,2,3,4]=>[[.,[.,.]],[.,[.,[.,.]]]]
[2,1,5,3,4,6]=>[2,1,5,4,3,6]=>[5,6,2,3,4,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[2,1,5,3,6,4]=>[2,1,6,4,5,3]=>[5,6,1,3,2,4]=>[[.,[.,.]],[[.,.],[.,.]]]
[2,1,5,4,3,6]=>[2,1,5,4,3,6]=>[5,6,2,3,4,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[2,1,5,4,6,3]=>[2,1,6,4,5,3]=>[5,6,1,3,2,4]=>[[.,[.,.]],[[.,.],[.,.]]]
[2,1,5,6,3,4]=>[2,1,6,5,4,3]=>[5,6,1,2,3,4]=>[[.,[.,.]],[.,[.,[.,.]]]]
[2,1,5,6,4,3]=>[2,1,6,5,4,3]=>[5,6,1,2,3,4]=>[[.,[.,.]],[.,[.,[.,.]]]]
[2,1,6,3,4,5]=>[2,1,6,4,5,3]=>[5,6,1,3,2,4]=>[[.,[.,.]],[[.,.],[.,.]]]
[2,1,6,3,5,4]=>[2,1,6,4,5,3]=>[5,6,1,3,2,4]=>[[.,[.,.]],[[.,.],[.,.]]]
[2,1,6,4,3,5]=>[2,1,6,5,4,3]=>[5,6,1,2,3,4]=>[[.,[.,.]],[.,[.,[.,.]]]]
[2,1,6,4,5,3]=>[2,1,6,5,4,3]=>[5,6,1,2,3,4]=>[[.,[.,.]],[.,[.,[.,.]]]]
[2,1,6,5,3,4]=>[2,1,6,5,4,3]=>[5,6,1,2,3,4]=>[[.,[.,.]],[.,[.,[.,.]]]]
[2,1,6,5,4,3]=>[2,1,6,5,4,3]=>[5,6,1,2,3,4]=>[[.,[.,.]],[.,[.,[.,.]]]]
[2,3,1,4,5,6]=>[3,2,1,4,5,6]=>[4,5,6,3,2,1]=>[[[[.,[.,[.,.]]],.],.],.]
[2,3,1,4,6,5]=>[3,2,1,4,6,5]=>[4,5,6,3,1,2]=>[[[.,[.,[.,.]]],.],[.,.]]
[2,3,1,5,4,6]=>[3,2,1,5,4,6]=>[4,5,6,2,3,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[2,3,1,5,6,4]=>[3,2,1,6,5,4]=>[4,5,6,1,2,3]=>[[.,[.,[.,.]]],[.,[.,.]]]
[2,3,1,6,4,5]=>[3,2,1,6,5,4]=>[4,5,6,1,2,3]=>[[.,[.,[.,.]]],[.,[.,.]]]
[2,3,1,6,5,4]=>[3,2,1,6,5,4]=>[4,5,6,1,2,3]=>[[.,[.,[.,.]]],[.,[.,.]]]
[2,3,4,1,5,6]=>[4,2,3,1,5,6]=>[3,5,4,6,2,1]=>[[[.,[[.,.],[.,.]]],.],.]
[2,3,4,1,6,5]=>[4,2,3,1,6,5]=>[3,5,4,6,1,2]=>[[.,[[.,.],[.,.]]],[.,.]]
[2,3,4,5,1,6]=>[5,2,3,4,1,6]=>[2,5,4,3,6,1]=>[[.,[[[.,.],.],[.,.]]],.]
[2,3,4,5,6,1]=>[6,2,3,4,5,1]=>[1,5,4,3,2,6]=>[.,[[[[.,.],.],.],[.,.]]]
[2,3,4,6,1,5]=>[5,2,3,6,1,4]=>[2,5,4,1,6,3]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,4,6,5,1]=>[6,2,3,5,4,1]=>[1,5,4,2,3,6]=>[.,[[[.,.],.],[.,[.,.]]]]
[2,3,5,1,4,6]=>[4,2,5,1,3,6]=>[3,5,2,6,4,1]=>[[[.,[.,.]],[[.,.],.]],.]
[2,3,5,1,6,4]=>[4,2,6,1,5,3]=>[3,5,1,6,2,4]=>[[.,[.,.]],[[.,.],[.,.]]]
[2,3,5,4,1,6]=>[5,2,4,3,1,6]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[2,3,5,4,6,1]=>[6,2,4,3,5,1]=>[1,5,3,4,2,6]=>[.,[[[.,.],[.,.]],[.,.]]]
[2,3,5,6,1,4]=>[5,2,6,4,1,3]=>[2,5,1,3,6,4]=>[[.,[.,.]],[.,[[.,.],.]]]
[2,3,5,6,4,1]=>[6,2,5,4,3,1]=>[1,5,2,3,4,6]=>[.,[[.,.],[.,[.,[.,.]]]]]
[2,3,6,1,4,5]=>[4,2,6,1,5,3]=>[3,5,1,6,2,4]=>[[.,[.,.]],[[.,.],[.,.]]]
[2,3,6,1,5,4]=>[4,2,6,1,5,3]=>[3,5,1,6,2,4]=>[[.,[.,.]],[[.,.],[.,.]]]
[2,3,6,4,1,5]=>[5,2,6,4,1,3]=>[2,5,1,3,6,4]=>[[.,[.,.]],[.,[[.,.],.]]]
[2,3,6,4,5,1]=>[6,2,5,4,3,1]=>[1,5,2,3,4,6]=>[.,[[.,.],[.,[.,[.,.]]]]]
[2,3,6,5,1,4]=>[5,2,6,4,1,3]=>[2,5,1,3,6,4]=>[[.,[.,.]],[.,[[.,.],.]]]
[2,3,6,5,4,1]=>[6,2,5,4,3,1]=>[1,5,2,3,4,6]=>[.,[[.,.],[.,[.,[.,.]]]]]
[2,4,1,3,5,6]=>[3,4,1,2,5,6]=>[4,3,6,5,2,1]=>[[[[.,.],[[.,.],.]],.],.]
[2,4,1,3,6,5]=>[3,4,1,2,6,5]=>[4,3,6,5,1,2]=>[[[.,.],[[.,.],.]],[.,.]]
[2,4,1,5,3,6]=>[3,5,1,4,2,6]=>[4,2,6,3,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[2,4,1,5,6,3]=>[3,6,1,4,5,2]=>[4,1,6,3,2,5]=>[[.,.],[[[.,.],.],[.,.]]]
[2,4,1,6,3,5]=>[3,5,1,6,2,4]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[2,4,1,6,5,3]=>[3,6,1,5,4,2]=>[4,1,6,2,3,5]=>[[.,.],[[.,.],[.,[.,.]]]]
[2,4,3,1,5,6]=>[4,3,2,1,5,6]=>[3,4,5,6,2,1]=>[[[.,[.,[.,[.,.]]]],.],.]
[2,4,3,1,6,5]=>[4,3,2,1,6,5]=>[3,4,5,6,1,2]=>[[.,[.,[.,[.,.]]]],[.,.]]
[2,4,3,5,1,6]=>[5,3,2,4,1,6]=>[2,4,5,3,6,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[2,4,3,5,6,1]=>[6,3,2,4,5,1]=>[1,4,5,3,2,6]=>[.,[[[.,[.,.]],.],[.,.]]]
[2,4,3,6,1,5]=>[5,3,2,6,1,4]=>[2,4,5,1,6,3]=>[[.,[.,[.,.]]],[[.,.],.]]
[2,4,3,6,5,1]=>[6,3,2,5,4,1]=>[1,4,5,2,3,6]=>[.,[[.,[.,.]],[.,[.,.]]]]
[2,4,5,1,3,6]=>[4,5,3,1,2,6]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[2,4,5,1,6,3]=>[4,6,3,1,5,2]=>[3,1,4,6,2,5]=>[[.,.],[[.,[.,.]],[.,.]]]
[2,4,5,3,1,6]=>[5,4,3,2,1,6]=>[2,3,4,5,6,1]=>[[.,[.,[.,[.,[.,.]]]]],.]
[2,4,5,3,6,1]=>[6,4,3,2,5,1]=>[1,3,4,5,2,6]=>[.,[[.,[.,[.,.]]],[.,.]]]
[2,4,5,6,1,3]=>[5,6,3,4,1,2]=>[2,1,4,3,6,5]=>[[.,.],[[.,.],[[.,.],.]]]
[2,4,5,6,3,1]=>[6,5,3,4,2,1]=>[1,2,4,3,5,6]=>[.,[.,[[.,.],[.,[.,.]]]]]
[2,4,6,1,3,5]=>[4,5,6,1,2,3]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[2,4,6,1,5,3]=>[4,6,5,1,3,2]=>[3,1,2,6,4,5]=>[[.,.],[.,[[.,.],[.,.]]]]
[2,4,6,3,1,5]=>[5,4,6,2,1,3]=>[2,3,1,5,6,4]=>[[.,[.,.]],[[.,[.,.]],.]]
[2,4,6,3,5,1]=>[6,4,5,2,3,1]=>[1,3,2,5,4,6]=>[.,[[.,.],[[.,.],[.,.]]]]
[2,4,6,5,1,3]=>[5,6,4,3,1,2]=>[2,1,3,4,6,5]=>[[.,.],[.,[.,[[.,.],.]]]]
[2,4,6,5,3,1]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[2,5,1,3,4,6]=>[3,5,1,4,2,6]=>[4,2,6,3,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[2,5,1,3,6,4]=>[3,6,1,4,5,2]=>[4,1,6,3,2,5]=>[[.,.],[[[.,.],.],[.,.]]]
[2,5,1,4,3,6]=>[3,5,1,4,2,6]=>[4,2,6,3,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[2,5,1,4,6,3]=>[3,6,1,4,5,2]=>[4,1,6,3,2,5]=>[[.,.],[[[.,.],.],[.,.]]]
[2,5,1,6,3,4]=>[3,6,1,5,4,2]=>[4,1,6,2,3,5]=>[[.,.],[[.,.],[.,[.,.]]]]
[2,5,1,6,4,3]=>[3,6,1,5,4,2]=>[4,1,6,2,3,5]=>[[.,.],[[.,.],[.,[.,.]]]]
[2,5,3,1,4,6]=>[4,5,3,1,2,6]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[2,5,3,1,6,4]=>[4,6,3,1,5,2]=>[3,1,4,6,2,5]=>[[.,.],[[.,[.,.]],[.,.]]]
[2,5,3,4,1,6]=>[5,4,3,2,1,6]=>[2,3,4,5,6,1]=>[[.,[.,[.,[.,[.,.]]]]],.]
[2,5,3,4,6,1]=>[6,4,3,2,5,1]=>[1,3,4,5,2,6]=>[.,[[.,[.,[.,.]]],[.,.]]]
[2,5,3,6,1,4]=>[5,6,3,4,1,2]=>[2,1,4,3,6,5]=>[[.,.],[[.,.],[[.,.],.]]]
[2,5,3,6,4,1]=>[6,5,3,4,2,1]=>[1,2,4,3,5,6]=>[.,[.,[[.,.],[.,[.,.]]]]]
[2,5,4,1,3,6]=>[4,5,3,1,2,6]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[2,5,4,1,6,3]=>[4,6,3,1,5,2]=>[3,1,4,6,2,5]=>[[.,.],[[.,[.,.]],[.,.]]]
[2,5,4,3,1,6]=>[5,4,3,2,1,6]=>[2,3,4,5,6,1]=>[[.,[.,[.,[.,[.,.]]]]],.]
[2,5,4,3,6,1]=>[6,4,3,2,5,1]=>[1,3,4,5,2,6]=>[.,[[.,[.,[.,.]]],[.,.]]]
[2,5,4,6,1,3]=>[5,6,3,4,1,2]=>[2,1,4,3,6,5]=>[[.,.],[[.,.],[[.,.],.]]]
[2,5,4,6,3,1]=>[6,5,3,4,2,1]=>[1,2,4,3,5,6]=>[.,[.,[[.,.],[.,[.,.]]]]]
[2,5,6,1,3,4]=>[4,6,5,1,3,2]=>[3,1,2,6,4,5]=>[[.,.],[.,[[.,.],[.,.]]]]
[2,5,6,1,4,3]=>[4,6,5,1,3,2]=>[3,1,2,6,4,5]=>[[.,.],[.,[[.,.],[.,.]]]]
[2,5,6,3,1,4]=>[5,6,4,3,1,2]=>[2,1,3,4,6,5]=>[[.,.],[.,[.,[[.,.],.]]]]
[2,5,6,3,4,1]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[2,5,6,4,1,3]=>[5,6,4,3,1,2]=>[2,1,3,4,6,5]=>[[.,.],[.,[.,[[.,.],.]]]]
[2,5,6,4,3,1]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[2,6,1,3,4,5]=>[3,6,1,4,5,2]=>[4,1,6,3,2,5]=>[[.,.],[[[.,.],.],[.,.]]]
[2,6,1,3,5,4]=>[3,6,1,4,5,2]=>[4,1,6,3,2,5]=>[[.,.],[[[.,.],.],[.,.]]]
[2,6,1,4,3,5]=>[3,6,1,5,4,2]=>[4,1,6,2,3,5]=>[[.,.],[[.,.],[.,[.,.]]]]
[2,6,1,4,5,3]=>[3,6,1,5,4,2]=>[4,1,6,2,3,5]=>[[.,.],[[.,.],[.,[.,.]]]]
[2,6,1,5,3,4]=>[3,6,1,5,4,2]=>[4,1,6,2,3,5]=>[[.,.],[[.,.],[.,[.,.]]]]
[2,6,1,5,4,3]=>[3,6,1,5,4,2]=>[4,1,6,2,3,5]=>[[.,.],[[.,.],[.,[.,.]]]]
[2,6,3,1,4,5]=>[4,6,3,1,5,2]=>[3,1,4,6,2,5]=>[[.,.],[[.,[.,.]],[.,.]]]
[2,6,3,1,5,4]=>[4,6,3,1,5,2]=>[3,1,4,6,2,5]=>[[.,.],[[.,[.,.]],[.,.]]]
[2,6,3,4,1,5]=>[5,6,3,4,1,2]=>[2,1,4,3,6,5]=>[[.,.],[[.,.],[[.,.],.]]]
[2,6,3,4,5,1]=>[6,5,3,4,2,1]=>[1,2,4,3,5,6]=>[.,[.,[[.,.],[.,[.,.]]]]]
[2,6,3,5,1,4]=>[5,6,3,4,1,2]=>[2,1,4,3,6,5]=>[[.,.],[[.,.],[[.,.],.]]]
[2,6,3,5,4,1]=>[6,5,3,4,2,1]=>[1,2,4,3,5,6]=>[.,[.,[[.,.],[.,[.,.]]]]]
[2,6,4,1,3,5]=>[4,6,5,1,3,2]=>[3,1,2,6,4,5]=>[[.,.],[.,[[.,.],[.,.]]]]
[2,6,4,1,5,3]=>[4,6,5,1,3,2]=>[3,1,2,6,4,5]=>[[.,.],[.,[[.,.],[.,.]]]]
[2,6,4,3,1,5]=>[5,6,4,3,1,2]=>[2,1,3,4,6,5]=>[[.,.],[.,[.,[[.,.],.]]]]
[2,6,4,3,5,1]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[2,6,4,5,1,3]=>[5,6,4,3,1,2]=>[2,1,3,4,6,5]=>[[.,.],[.,[.,[[.,.],.]]]]
[2,6,4,5,3,1]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[2,6,5,1,3,4]=>[4,6,5,1,3,2]=>[3,1,2,6,4,5]=>[[.,.],[.,[[.,.],[.,.]]]]
[2,6,5,1,4,3]=>[4,6,5,1,3,2]=>[3,1,2,6,4,5]=>[[.,.],[.,[[.,.],[.,.]]]]
[2,6,5,3,1,4]=>[5,6,4,3,1,2]=>[2,1,3,4,6,5]=>[[.,.],[.,[.,[[.,.],.]]]]
[2,6,5,3,4,1]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[2,6,5,4,1,3]=>[5,6,4,3,1,2]=>[2,1,3,4,6,5]=>[[.,.],[.,[.,[[.,.],.]]]]
[2,6,5,4,3,1]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[3,1,2,4,5,6]=>[3,2,1,4,5,6]=>[4,5,6,3,2,1]=>[[[[.,[.,[.,.]]],.],.],.]
[3,1,2,4,6,5]=>[3,2,1,4,6,5]=>[4,5,6,3,1,2]=>[[[.,[.,[.,.]]],.],[.,.]]
[3,1,2,5,4,6]=>[3,2,1,5,4,6]=>[4,5,6,2,3,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[3,1,2,5,6,4]=>[3,2,1,6,5,4]=>[4,5,6,1,2,3]=>[[.,[.,[.,.]]],[.,[.,.]]]
[3,1,2,6,4,5]=>[3,2,1,6,5,4]=>[4,5,6,1,2,3]=>[[.,[.,[.,.]]],[.,[.,.]]]
[3,1,2,6,5,4]=>[3,2,1,6,5,4]=>[4,5,6,1,2,3]=>[[.,[.,[.,.]]],[.,[.,.]]]
[3,1,4,2,5,6]=>[4,2,3,1,5,6]=>[3,5,4,6,2,1]=>[[[.,[[.,.],[.,.]]],.],.]
[3,1,4,2,6,5]=>[4,2,3,1,6,5]=>[3,5,4,6,1,2]=>[[.,[[.,.],[.,.]]],[.,.]]
[3,1,4,5,2,6]=>[5,2,3,4,1,6]=>[2,5,4,3,6,1]=>[[.,[[[.,.],.],[.,.]]],.]
[3,1,4,5,6,2]=>[6,2,3,4,5,1]=>[1,5,4,3,2,6]=>[.,[[[[.,.],.],.],[.,.]]]
[3,1,4,6,2,5]=>[5,2,3,6,1,4]=>[2,5,4,1,6,3]=>[[.,[[.,.],.]],[[.,.],.]]
[3,1,4,6,5,2]=>[6,2,3,5,4,1]=>[1,5,4,2,3,6]=>[.,[[[.,.],.],[.,[.,.]]]]
[3,1,5,2,4,6]=>[4,2,5,1,3,6]=>[3,5,2,6,4,1]=>[[[.,[.,.]],[[.,.],.]],.]
[3,1,5,2,6,4]=>[4,2,6,1,5,3]=>[3,5,1,6,2,4]=>[[.,[.,.]],[[.,.],[.,.]]]
[3,1,5,4,2,6]=>[5,2,4,3,1,6]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[3,1,5,4,6,2]=>[6,2,4,3,5,1]=>[1,5,3,4,2,6]=>[.,[[[.,.],[.,.]],[.,.]]]
[3,1,5,6,2,4]=>[5,2,6,4,1,3]=>[2,5,1,3,6,4]=>[[.,[.,.]],[.,[[.,.],.]]]
[3,1,5,6,4,2]=>[6,2,5,4,3,1]=>[1,5,2,3,4,6]=>[.,[[.,.],[.,[.,[.,.]]]]]
[3,1,6,2,4,5]=>[4,2,6,1,5,3]=>[3,5,1,6,2,4]=>[[.,[.,.]],[[.,.],[.,.]]]
[3,1,6,2,5,4]=>[4,2,6,1,5,3]=>[3,5,1,6,2,4]=>[[.,[.,.]],[[.,.],[.,.]]]
[3,1,6,4,2,5]=>[5,2,6,4,1,3]=>[2,5,1,3,6,4]=>[[.,[.,.]],[.,[[.,.],.]]]
[3,1,6,4,5,2]=>[6,2,5,4,3,1]=>[1,5,2,3,4,6]=>[.,[[.,.],[.,[.,[.,.]]]]]
[3,1,6,5,2,4]=>[5,2,6,4,1,3]=>[2,5,1,3,6,4]=>[[.,[.,.]],[.,[[.,.],.]]]
[3,1,6,5,4,2]=>[6,2,5,4,3,1]=>[1,5,2,3,4,6]=>[.,[[.,.],[.,[.,[.,.]]]]]
[3,2,1,4,5,6]=>[3,2,1,4,5,6]=>[4,5,6,3,2,1]=>[[[[.,[.,[.,.]]],.],.],.]
[3,2,1,4,6,5]=>[3,2,1,4,6,5]=>[4,5,6,3,1,2]=>[[[.,[.,[.,.]]],.],[.,.]]
[3,2,1,5,4,6]=>[3,2,1,5,4,6]=>[4,5,6,2,3,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[3,2,1,5,6,4]=>[3,2,1,6,5,4]=>[4,5,6,1,2,3]=>[[.,[.,[.,.]]],[.,[.,.]]]
[3,2,1,6,4,5]=>[3,2,1,6,5,4]=>[4,5,6,1,2,3]=>[[.,[.,[.,.]]],[.,[.,.]]]
[3,2,1,6,5,4]=>[3,2,1,6,5,4]=>[4,5,6,1,2,3]=>[[.,[.,[.,.]]],[.,[.,.]]]
[3,2,4,1,5,6]=>[4,2,3,1,5,6]=>[3,5,4,6,2,1]=>[[[.,[[.,.],[.,.]]],.],.]
[3,2,4,1,6,5]=>[4,2,3,1,6,5]=>[3,5,4,6,1,2]=>[[.,[[.,.],[.,.]]],[.,.]]
[3,2,4,5,1,6]=>[5,2,3,4,1,6]=>[2,5,4,3,6,1]=>[[.,[[[.,.],.],[.,.]]],.]
[3,2,4,5,6,1]=>[6,2,3,4,5,1]=>[1,5,4,3,2,6]=>[.,[[[[.,.],.],.],[.,.]]]
[3,2,4,6,1,5]=>[5,2,3,6,1,4]=>[2,5,4,1,6,3]=>[[.,[[.,.],.]],[[.,.],.]]
[3,2,4,6,5,1]=>[6,2,3,5,4,1]=>[1,5,4,2,3,6]=>[.,[[[.,.],.],[.,[.,.]]]]
[3,2,5,1,4,6]=>[4,2,5,1,3,6]=>[3,5,2,6,4,1]=>[[[.,[.,.]],[[.,.],.]],.]
[3,2,5,1,6,4]=>[4,2,6,1,5,3]=>[3,5,1,6,2,4]=>[[.,[.,.]],[[.,.],[.,.]]]
[3,2,5,4,1,6]=>[5,2,4,3,1,6]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[3,2,5,4,6,1]=>[6,2,4,3,5,1]=>[1,5,3,4,2,6]=>[.,[[[.,.],[.,.]],[.,.]]]
[3,2,5,6,1,4]=>[5,2,6,4,1,3]=>[2,5,1,3,6,4]=>[[.,[.,.]],[.,[[.,.],.]]]
[3,2,5,6,4,1]=>[6,2,5,4,3,1]=>[1,5,2,3,4,6]=>[.,[[.,.],[.,[.,[.,.]]]]]
[3,2,6,1,4,5]=>[4,2,6,1,5,3]=>[3,5,1,6,2,4]=>[[.,[.,.]],[[.,.],[.,.]]]
[3,2,6,1,5,4]=>[4,2,6,1,5,3]=>[3,5,1,6,2,4]=>[[.,[.,.]],[[.,.],[.,.]]]
[3,2,6,4,1,5]=>[5,2,6,4,1,3]=>[2,5,1,3,6,4]=>[[.,[.,.]],[.,[[.,.],.]]]
[3,2,6,4,5,1]=>[6,2,5,4,3,1]=>[1,5,2,3,4,6]=>[.,[[.,.],[.,[.,[.,.]]]]]
[3,2,6,5,1,4]=>[5,2,6,4,1,3]=>[2,5,1,3,6,4]=>[[.,[.,.]],[.,[[.,.],.]]]
[3,2,6,5,4,1]=>[6,2,5,4,3,1]=>[1,5,2,3,4,6]=>[.,[[.,.],[.,[.,[.,.]]]]]
[3,4,1,2,5,6]=>[4,3,2,1,5,6]=>[3,4,5,6,2,1]=>[[[.,[.,[.,[.,.]]]],.],.]
[3,4,1,2,6,5]=>[4,3,2,1,6,5]=>[3,4,5,6,1,2]=>[[.,[.,[.,[.,.]]]],[.,.]]
[3,4,1,5,2,6]=>[5,3,2,4,1,6]=>[2,4,5,3,6,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[3,4,1,5,6,2]=>[6,3,2,4,5,1]=>[1,4,5,3,2,6]=>[.,[[[.,[.,.]],.],[.,.]]]
[3,4,1,6,2,5]=>[5,3,2,6,1,4]=>[2,4,5,1,6,3]=>[[.,[.,[.,.]]],[[.,.],.]]
[3,4,1,6,5,2]=>[6,3,2,5,4,1]=>[1,4,5,2,3,6]=>[.,[[.,[.,.]],[.,[.,.]]]]
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[3,4,2,1,6,5]=>[4,3,2,1,6,5]=>[3,4,5,6,1,2]=>[[.,[.,[.,[.,.]]]],[.,.]]
[3,4,2,5,1,6]=>[5,3,2,4,1,6]=>[2,4,5,3,6,1]=>[[.,[[.,[.,.]],[.,.]]],.]
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[3,4,6,1,2,5]=>[5,4,6,2,1,3]=>[2,3,1,5,6,4]=>[[.,[.,.]],[[.,[.,.]],.]]
[3,4,6,1,5,2]=>[6,4,5,2,3,1]=>[1,3,2,5,4,6]=>[.,[[.,.],[[.,.],[.,.]]]]
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[3,4,6,2,5,1]=>[6,4,5,2,3,1]=>[1,3,2,5,4,6]=>[.,[[.,.],[[.,.],[.,.]]]]
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[3,5,1,4,6,2]=>[6,4,3,2,5,1]=>[1,3,4,5,2,6]=>[.,[[.,[.,[.,.]]],[.,.]]]
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[3,5,1,6,4,2]=>[6,5,3,4,2,1]=>[1,2,4,3,5,6]=>[.,[.,[[.,.],[.,[.,.]]]]]
[3,5,2,1,4,6]=>[4,5,3,1,2,6]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[3,5,2,1,6,4]=>[4,6,3,1,5,2]=>[3,1,4,6,2,5]=>[[.,.],[[.,[.,.]],[.,.]]]
[3,5,2,4,1,6]=>[5,4,3,2,1,6]=>[2,3,4,5,6,1]=>[[.,[.,[.,[.,[.,.]]]]],.]
[3,5,2,4,6,1]=>[6,4,3,2,5,1]=>[1,3,4,5,2,6]=>[.,[[.,[.,[.,.]]],[.,.]]]
[3,5,2,6,1,4]=>[5,6,3,4,1,2]=>[2,1,4,3,6,5]=>[[.,.],[[.,.],[[.,.],.]]]
[3,5,2,6,4,1]=>[6,5,3,4,2,1]=>[1,2,4,3,5,6]=>[.,[.,[[.,.],[.,[.,.]]]]]
[3,5,4,1,2,6]=>[5,4,3,2,1,6]=>[2,3,4,5,6,1]=>[[.,[.,[.,[.,[.,.]]]]],.]
[3,5,4,1,6,2]=>[6,4,3,2,5,1]=>[1,3,4,5,2,6]=>[.,[[.,[.,[.,.]]],[.,.]]]
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[3,5,4,2,6,1]=>[6,4,3,2,5,1]=>[1,3,4,5,2,6]=>[.,[[.,[.,[.,.]]],[.,.]]]
[3,5,4,6,1,2]=>[6,5,3,4,2,1]=>[1,2,4,3,5,6]=>[.,[.,[[.,.],[.,[.,.]]]]]
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[3,5,6,1,2,4]=>[5,6,4,3,1,2]=>[2,1,3,4,6,5]=>[[.,.],[.,[.,[[.,.],.]]]]
[3,5,6,1,4,2]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
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[3,6,1,4,2,5]=>[5,6,3,4,1,2]=>[2,1,4,3,6,5]=>[[.,.],[[.,.],[[.,.],.]]]
[3,6,1,4,5,2]=>[6,5,3,4,2,1]=>[1,2,4,3,5,6]=>[.,[.,[[.,.],[.,[.,.]]]]]
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[3,6,2,1,4,5]=>[4,6,3,1,5,2]=>[3,1,4,6,2,5]=>[[.,.],[[.,[.,.]],[.,.]]]
[3,6,2,1,5,4]=>[4,6,3,1,5,2]=>[3,1,4,6,2,5]=>[[.,.],[[.,[.,.]],[.,.]]]
[3,6,2,4,1,5]=>[5,6,3,4,1,2]=>[2,1,4,3,6,5]=>[[.,.],[[.,.],[[.,.],.]]]
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[3,6,2,5,4,1]=>[6,5,3,4,2,1]=>[1,2,4,3,5,6]=>[.,[.,[[.,.],[.,[.,.]]]]]
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[3,6,5,4,1,2]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[3,6,5,4,2,1]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
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[4,1,2,6,5,3]=>[6,2,3,5,4,1]=>[1,5,4,2,3,6]=>[.,[[[.,.],.],[.,[.,.]]]]
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[4,1,5,2,6,3]=>[6,2,4,3,5,1]=>[1,5,3,4,2,6]=>[.,[[[.,.],[.,.]],[.,.]]]
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[4,1,5,6,3,2]=>[6,2,5,4,3,1]=>[1,5,2,3,4,6]=>[.,[[.,.],[.,[.,[.,.]]]]]
[4,1,6,2,3,5]=>[5,2,6,4,1,3]=>[2,5,1,3,6,4]=>[[.,[.,.]],[.,[[.,.],.]]]
[4,1,6,2,5,3]=>[6,2,5,4,3,1]=>[1,5,2,3,4,6]=>[.,[[.,.],[.,[.,[.,.]]]]]
[4,1,6,3,2,5]=>[5,2,6,4,1,3]=>[2,5,1,3,6,4]=>[[.,[.,.]],[.,[[.,.],.]]]
[4,1,6,3,5,2]=>[6,2,5,4,3,1]=>[1,5,2,3,4,6]=>[.,[[.,.],[.,[.,[.,.]]]]]
[4,1,6,5,2,3]=>[6,2,5,4,3,1]=>[1,5,2,3,4,6]=>[.,[[.,.],[.,[.,[.,.]]]]]
[4,1,6,5,3,2]=>[6,2,5,4,3,1]=>[1,5,2,3,4,6]=>[.,[[.,.],[.,[.,[.,.]]]]]
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[4,2,6,1,3,5]=>[5,4,6,2,1,3]=>[2,3,1,5,6,4]=>[[.,[.,.]],[[.,[.,.]],.]]
[4,2,6,1,5,3]=>[6,4,5,2,3,1]=>[1,3,2,5,4,6]=>[.,[[.,.],[[.,.],[.,.]]]]
[4,2,6,3,1,5]=>[5,4,6,2,1,3]=>[2,3,1,5,6,4]=>[[.,[.,.]],[[.,[.,.]],.]]
[4,2,6,3,5,1]=>[6,4,5,2,3,1]=>[1,3,2,5,4,6]=>[.,[[.,.],[[.,.],[.,.]]]]
[4,2,6,5,1,3]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[4,2,6,5,3,1]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
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[4,3,2,1,6,5]=>[4,3,2,1,6,5]=>[3,4,5,6,1,2]=>[[.,[.,[.,[.,.]]]],[.,.]]
[4,3,2,5,1,6]=>[5,3,2,4,1,6]=>[2,4,5,3,6,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[4,3,2,5,6,1]=>[6,3,2,4,5,1]=>[1,4,5,3,2,6]=>[.,[[[.,[.,.]],.],[.,.]]]
[4,3,2,6,1,5]=>[5,3,2,6,1,4]=>[2,4,5,1,6,3]=>[[.,[.,[.,.]]],[[.,.],.]]
[4,3,2,6,5,1]=>[6,3,2,5,4,1]=>[1,4,5,2,3,6]=>[.,[[.,[.,.]],[.,[.,.]]]]
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[4,3,5,1,6,2]=>[6,4,3,2,5,1]=>[1,3,4,5,2,6]=>[.,[[.,[.,[.,.]]],[.,.]]]
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[6,5,1,2,3,4]=>[6,5,3,4,2,1]=>[1,2,4,3,5,6]=>[.,[.,[[.,.],[.,[.,.]]]]]
[6,5,1,2,4,3]=>[6,5,3,4,2,1]=>[1,2,4,3,5,6]=>[.,[.,[[.,.],[.,[.,.]]]]]
[6,5,1,3,2,4]=>[6,5,3,4,2,1]=>[1,2,4,3,5,6]=>[.,[.,[[.,.],[.,[.,.]]]]]
[6,5,1,3,4,2]=>[6,5,3,4,2,1]=>[1,2,4,3,5,6]=>[.,[.,[[.,.],[.,[.,.]]]]]
[6,5,1,4,2,3]=>[6,5,3,4,2,1]=>[1,2,4,3,5,6]=>[.,[.,[[.,.],[.,[.,.]]]]]
[6,5,1,4,3,2]=>[6,5,3,4,2,1]=>[1,2,4,3,5,6]=>[.,[.,[[.,.],[.,[.,.]]]]]
[6,5,2,1,3,4]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[6,5,2,1,4,3]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[6,5,2,3,1,4]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
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[6,5,2,4,1,3]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
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[6,5,3,1,2,4]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[6,5,3,1,4,2]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[6,5,3,2,1,4]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[6,5,3,2,4,1]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[6,5,3,4,1,2]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[6,5,4,1,2,3]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[6,5,4,1,3,2]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[6,5,4,2,1,3]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[6,5,4,2,3,1]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[6,5,4,3,1,2]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[7,6,5,4,3,1,2]=>[[[[[[.,.],.],.],.],.],[.,.]]
[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[7,6,5,4,2,3,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]=>[7,6,5,4,1,2,3]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[1,2,3,4,7,5,6]=>[1,2,3,4,7,6,5]=>[7,6,5,4,1,2,3]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[1,2,3,4,7,6,5]=>[1,2,3,4,7,6,5]=>[7,6,5,4,1,2,3]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[7,6,5,3,4,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>[7,6,5,3,4,1,2]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7]=>[7,6,5,2,3,4,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]
[1,2,3,5,6,7,4]=>[1,2,3,7,5,6,4]=>[7,6,5,1,3,2,4]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[1,2,3,5,7,4,6]=>[1,2,3,6,7,4,5]=>[7,6,5,2,1,4,3]=>[[[[[.,.],.],.],.],[[.,.],.]]
[1,2,3,5,7,6,4]=>[1,2,3,7,6,5,4]=>[7,6,5,1,2,3,4]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[1,2,3,6,4,5,7]=>[1,2,3,6,5,4,7]=>[7,6,5,2,3,4,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]
[1,2,3,6,4,7,5]=>[1,2,3,7,5,6,4]=>[7,6,5,1,3,2,4]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[1,2,3,6,5,4,7]=>[1,2,3,6,5,4,7]=>[7,6,5,2,3,4,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]
[1,2,3,6,5,7,4]=>[1,2,3,7,5,6,4]=>[7,6,5,1,3,2,4]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[1,2,3,6,7,4,5]=>[1,2,3,7,6,5,4]=>[7,6,5,1,2,3,4]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[1,2,3,6,7,5,4]=>[1,2,3,7,6,5,4]=>[7,6,5,1,2,3,4]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[1,2,3,7,4,5,6]=>[1,2,3,7,5,6,4]=>[7,6,5,1,3,2,4]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[1,2,3,7,4,6,5]=>[1,2,3,7,5,6,4]=>[7,6,5,1,3,2,4]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[1,2,3,7,5,4,6]=>[1,2,3,7,6,5,4]=>[7,6,5,1,2,3,4]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[1,2,3,7,5,6,4]=>[1,2,3,7,6,5,4]=>[7,6,5,1,2,3,4]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[1,2,3,7,6,4,5]=>[1,2,3,7,6,5,4]=>[7,6,5,1,2,3,4]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[1,2,3,7,6,5,4]=>[1,2,3,7,6,5,4]=>[7,6,5,1,2,3,4]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[7,6,4,5,3,2,1]=>[[[[[[.,.],.],[.,.]],.],.],.]
[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>[7,6,4,5,3,1,2]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>[7,6,4,5,2,3,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[1,2,4,3,6,7,5]=>[1,2,4,3,7,6,5]=>[7,6,4,5,1,2,3]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[1,2,4,3,7,5,6]=>[1,2,4,3,7,6,5]=>[7,6,4,5,1,2,3]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[1,2,4,3,7,6,5]=>[1,2,4,3,7,6,5]=>[7,6,4,5,1,2,3]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[1,2,4,5,3,6,7]=>[1,2,5,4,3,6,7]=>[7,6,3,4,5,2,1]=>[[[[[.,.],.],[.,[.,.]]],.],.]
[1,2,4,5,3,7,6]=>[1,2,5,4,3,7,6]=>[7,6,3,4,5,1,2]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[1,2,4,5,6,3,7]=>[1,2,6,4,5,3,7]=>[7,6,2,4,3,5,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[1,2,4,5,6,7,3]=>[1,2,7,4,5,6,3]=>[7,6,1,4,3,2,5]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[1,2,4,5,7,3,6]=>[1,2,6,4,7,3,5]=>[7,6,2,4,1,5,3]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[1,2,4,5,7,6,3]=>[1,2,7,4,6,5,3]=>[7,6,1,4,2,3,5]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[1,2,4,6,3,5,7]=>[1,2,5,6,3,4,7]=>[7,6,3,2,5,4,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[1,2,4,6,3,7,5]=>[1,2,5,7,3,6,4]=>[7,6,3,1,5,2,4]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[1,2,4,6,5,3,7]=>[1,2,6,5,4,3,7]=>[7,6,2,3,4,5,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[1,2,4,6,5,7,3]=>[1,2,7,5,4,6,3]=>[7,6,1,3,4,2,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[1,2,4,6,7,3,5]=>[1,2,6,7,5,3,4]=>[7,6,2,1,3,5,4]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[1,2,4,6,7,5,3]=>[1,2,7,6,5,4,3]=>[7,6,1,2,3,4,5]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,2,4,7,3,5,6]=>[1,2,5,7,3,6,4]=>[7,6,3,1,5,2,4]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[1,2,4,7,3,6,5]=>[1,2,5,7,3,6,4]=>[7,6,3,1,5,2,4]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[1,2,4,7,5,3,6]=>[1,2,6,7,5,3,4]=>[7,6,2,1,3,5,4]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[1,2,4,7,5,6,3]=>[1,2,7,6,5,4,3]=>[7,6,1,2,3,4,5]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,2,4,7,6,3,5]=>[1,2,6,7,5,3,4]=>[7,6,2,1,3,5,4]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[1,2,4,7,6,5,3]=>[1,2,7,6,5,4,3]=>[7,6,1,2,3,4,5]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,2,5,3,4,6,7]=>[1,2,5,4,3,6,7]=>[7,6,3,4,5,2,1]=>[[[[[.,.],.],[.,[.,.]]],.],.]
[1,2,5,3,4,7,6]=>[1,2,5,4,3,7,6]=>[7,6,3,4,5,1,2]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[1,2,5,3,6,4,7]=>[1,2,6,4,5,3,7]=>[7,6,2,4,3,5,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[1,2,5,3,6,7,4]=>[1,2,7,4,5,6,3]=>[7,6,1,4,3,2,5]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[1,2,5,3,7,4,6]=>[1,2,6,4,7,3,5]=>[7,6,2,4,1,5,3]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[1,2,5,3,7,6,4]=>[1,2,7,4,6,5,3]=>[7,6,1,4,2,3,5]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[1,2,5,4,3,6,7]=>[1,2,5,4,3,6,7]=>[7,6,3,4,5,2,1]=>[[[[[.,.],.],[.,[.,.]]],.],.]
[1,2,5,4,3,7,6]=>[1,2,5,4,3,7,6]=>[7,6,3,4,5,1,2]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[1,2,5,4,6,3,7]=>[1,2,6,4,5,3,7]=>[7,6,2,4,3,5,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[1,2,5,4,6,7,3]=>[1,2,7,4,5,6,3]=>[7,6,1,4,3,2,5]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[1,2,5,4,7,3,6]=>[1,2,6,4,7,3,5]=>[7,6,2,4,1,5,3]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[1,2,5,4,7,6,3]=>[1,2,7,4,6,5,3]=>[7,6,1,4,2,3,5]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[1,2,5,6,3,4,7]=>[1,2,6,5,4,3,7]=>[7,6,2,3,4,5,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[1,2,5,6,3,7,4]=>[1,2,7,5,4,6,3]=>[7,6,1,3,4,2,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[1,2,5,6,4,3,7]=>[1,2,6,5,4,3,7]=>[7,6,2,3,4,5,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[1,2,5,6,4,7,3]=>[1,2,7,5,4,6,3]=>[7,6,1,3,4,2,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[1,2,5,6,7,3,4]=>[1,2,7,6,5,4,3]=>[7,6,1,2,3,4,5]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,2,5,6,7,4,3]=>[1,2,7,6,5,4,3]=>[7,6,1,2,3,4,5]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,2,5,7,3,4,6]=>[1,2,6,7,5,3,4]=>[7,6,2,1,3,5,4]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[1,2,5,7,3,6,4]=>[1,2,7,6,5,4,3]=>[7,6,1,2,3,4,5]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,2,5,7,4,3,6]=>[1,2,6,7,5,3,4]=>[7,6,2,1,3,5,4]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[1,2,5,7,4,6,3]=>[1,2,7,6,5,4,3]=>[7,6,1,2,3,4,5]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,2,5,7,6,3,4]=>[1,2,7,6,5,4,3]=>[7,6,1,2,3,4,5]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,2,5,7,6,4,3]=>[1,2,7,6,5,4,3]=>[7,6,1,2,3,4,5]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,2,6,3,4,5,7]=>[1,2,6,4,5,3,7]=>[7,6,2,4,3,5,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[1,2,6,3,4,7,5]=>[1,2,7,4,5,6,3]=>[7,6,1,4,3,2,5]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[1,2,6,3,5,4,7]=>[1,2,6,4,5,3,7]=>[7,6,2,4,3,5,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[1,2,6,3,5,7,4]=>[1,2,7,4,5,6,3]=>[7,6,1,4,3,2,5]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[1,2,6,3,7,4,5]=>[1,2,7,4,6,5,3]=>[7,6,1,4,2,3,5]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[1,2,6,3,7,5,4]=>[1,2,7,4,6,5,3]=>[7,6,1,4,2,3,5]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[1,2,6,4,3,5,7]=>[1,2,6,5,4,3,7]=>[7,6,2,3,4,5,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[1,2,6,4,3,7,5]=>[1,2,7,5,4,6,3]=>[7,6,1,3,4,2,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[1,2,6,4,5,3,7]=>[1,2,6,5,4,3,7]=>[7,6,2,3,4,5,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[1,2,6,4,5,7,3]=>[1,2,7,5,4,6,3]=>[7,6,1,3,4,2,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[1,2,6,4,7,3,5]=>[1,2,7,6,5,4,3]=>[7,6,1,2,3,4,5]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,2,6,4,7,5,3]=>[1,2,7,6,5,4,3]=>[7,6,1,2,3,4,5]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,2,6,5,3,4,7]=>[1,2,6,5,4,3,7]=>[7,6,2,3,4,5,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[1,2,6,5,3,7,4]=>[1,2,7,5,4,6,3]=>[7,6,1,3,4,2,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[1,2,6,5,4,3,7]=>[1,2,6,5,4,3,7]=>[7,6,2,3,4,5,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[1,2,6,5,4,7,3]=>[1,2,7,5,4,6,3]=>[7,6,1,3,4,2,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[1,2,6,5,7,3,4]=>[1,2,7,6,5,4,3]=>[7,6,1,2,3,4,5]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,2,6,5,7,4,3]=>[1,2,7,6,5,4,3]=>[7,6,1,2,3,4,5]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,2,6,7,3,4,5]=>[1,2,7,6,5,4,3]=>[7,6,1,2,3,4,5]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,2,6,7,3,5,4]=>[1,2,7,6,5,4,3]=>[7,6,1,2,3,4,5]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,2,6,7,4,3,5]=>[1,2,7,6,5,4,3]=>[7,6,1,2,3,4,5]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,2,6,7,4,5,3]=>[1,2,7,6,5,4,3]=>[7,6,1,2,3,4,5]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,2,6,7,5,3,4]=>[1,2,7,6,5,4,3]=>[7,6,1,2,3,4,5]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,2,6,7,5,4,3]=>[1,2,7,6,5,4,3]=>[7,6,1,2,3,4,5]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,2,7,3,4,5,6]=>[1,2,7,4,5,6,3]=>[7,6,1,4,3,2,5]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[1,2,7,3,4,6,5]=>[1,2,7,4,5,6,3]=>[7,6,1,4,3,2,5]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[1,2,7,3,5,4,6]=>[1,2,7,4,6,5,3]=>[7,6,1,4,2,3,5]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[1,2,7,3,5,6,4]=>[1,2,7,4,6,5,3]=>[7,6,1,4,2,3,5]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[1,2,7,3,6,4,5]=>[1,2,7,4,6,5,3]=>[7,6,1,4,2,3,5]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[1,2,7,3,6,5,4]=>[1,2,7,4,6,5,3]=>[7,6,1,4,2,3,5]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[1,2,7,4,3,5,6]=>[1,2,7,5,4,6,3]=>[7,6,1,3,4,2,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[1,2,7,4,3,6,5]=>[1,2,7,5,4,6,3]=>[7,6,1,3,4,2,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[1,2,7,4,5,3,6]=>[1,2,7,6,5,4,3]=>[7,6,1,2,3,4,5]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,2,7,4,5,6,3]=>[1,2,7,6,5,4,3]=>[7,6,1,2,3,4,5]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,2,7,4,6,3,5]=>[1,2,7,6,5,4,3]=>[7,6,1,2,3,4,5]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,2,7,4,6,5,3]=>[1,2,7,6,5,4,3]=>[7,6,1,2,3,4,5]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,2,7,5,3,4,6]=>[1,2,7,6,5,4,3]=>[7,6,1,2,3,4,5]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,2,7,5,3,6,4]=>[1,2,7,6,5,4,3]=>[7,6,1,2,3,4,5]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,2,7,5,4,3,6]=>[1,2,7,6,5,4,3]=>[7,6,1,2,3,4,5]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,2,7,5,4,6,3]=>[1,2,7,6,5,4,3]=>[7,6,1,2,3,4,5]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,2,7,5,6,3,4]=>[1,2,7,6,5,4,3]=>[7,6,1,2,3,4,5]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,2,7,5,6,4,3]=>[1,2,7,6,5,4,3]=>[7,6,1,2,3,4,5]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,2,7,6,3,4,5]=>[1,2,7,6,5,4,3]=>[7,6,1,2,3,4,5]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,2,7,6,3,5,4]=>[1,2,7,6,5,4,3]=>[7,6,1,2,3,4,5]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,2,7,6,4,3,5]=>[1,2,7,6,5,4,3]=>[7,6,1,2,3,4,5]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,2,7,6,4,5,3]=>[1,2,7,6,5,4,3]=>[7,6,1,2,3,4,5]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,2,7,6,5,3,4]=>[1,2,7,6,5,4,3]=>[7,6,1,2,3,4,5]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,2,7,6,5,4,3]=>[1,2,7,6,5,4,3]=>[7,6,1,2,3,4,5]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[7,5,6,4,3,2,1]=>[[[[[[.,.],[.,.]],.],.],.],.]
[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>[7,5,6,4,3,1,2]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>[7,5,6,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[1,3,2,4,6,7,5]=>[1,3,2,4,7,6,5]=>[7,5,6,4,1,2,3]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[1,3,2,4,7,5,6]=>[1,3,2,4,7,6,5]=>[7,5,6,4,1,2,3]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[1,3,2,4,7,6,5]=>[1,3,2,4,7,6,5]=>[7,5,6,4,1,2,3]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>[7,5,6,3,4,2,1]=>[[[[[.,.],[.,.]],[.,.]],.],.]
[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>[7,5,6,3,4,1,2]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[1,3,2,5,6,4,7]=>[1,3,2,6,5,4,7]=>[7,5,6,2,3,4,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[1,3,2,5,6,7,4]=>[1,3,2,7,5,6,4]=>[7,5,6,1,3,2,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,3,2,5,7,4,6]=>[1,3,2,6,7,4,5]=>[7,5,6,2,1,4,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[1,3,2,5,7,6,4]=>[1,3,2,7,6,5,4]=>[7,5,6,1,2,3,4]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[1,3,2,6,4,5,7]=>[1,3,2,6,5,4,7]=>[7,5,6,2,3,4,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[1,3,2,6,4,7,5]=>[1,3,2,7,5,6,4]=>[7,5,6,1,3,2,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,3,2,6,5,4,7]=>[1,3,2,6,5,4,7]=>[7,5,6,2,3,4,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[1,3,2,6,5,7,4]=>[1,3,2,7,5,6,4]=>[7,5,6,1,3,2,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,3,2,6,7,4,5]=>[1,3,2,7,6,5,4]=>[7,5,6,1,2,3,4]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[1,3,2,6,7,5,4]=>[1,3,2,7,6,5,4]=>[7,5,6,1,2,3,4]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[1,3,2,7,4,5,6]=>[1,3,2,7,5,6,4]=>[7,5,6,1,3,2,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,3,2,7,4,6,5]=>[1,3,2,7,5,6,4]=>[7,5,6,1,3,2,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,3,2,7,5,4,6]=>[1,3,2,7,6,5,4]=>[7,5,6,1,2,3,4]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[1,3,2,7,5,6,4]=>[1,3,2,7,6,5,4]=>[7,5,6,1,2,3,4]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[1,3,2,7,6,4,5]=>[1,3,2,7,6,5,4]=>[7,5,6,1,2,3,4]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[1,3,2,7,6,5,4]=>[1,3,2,7,6,5,4]=>[7,5,6,1,2,3,4]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7]=>[7,4,5,6,3,2,1]=>[[[[[.,.],[.,[.,.]]],.],.],.]
[1,3,4,2,5,7,6]=>[1,4,3,2,5,7,6]=>[7,4,5,6,3,1,2]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[1,3,4,2,6,5,7]=>[1,4,3,2,6,5,7]=>[7,4,5,6,2,3,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[1,3,4,2,6,7,5]=>[1,4,3,2,7,6,5]=>[7,4,5,6,1,2,3]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[1,3,4,2,7,5,6]=>[1,4,3,2,7,6,5]=>[7,4,5,6,1,2,3]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[1,3,4,2,7,6,5]=>[1,4,3,2,7,6,5]=>[7,4,5,6,1,2,3]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[1,3,4,5,2,6,7]=>[1,5,3,4,2,6,7]=>[7,3,5,4,6,2,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]
[1,3,4,5,2,7,6]=>[1,5,3,4,2,7,6]=>[7,3,5,4,6,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[1,3,4,5,6,2,7]=>[1,6,3,4,5,2,7]=>[7,2,5,4,3,6,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[1,3,4,5,6,7,2]=>[1,7,3,4,5,6,2]=>[7,1,5,4,3,2,6]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[1,3,4,5,7,2,6]=>[1,6,3,4,7,2,5]=>[7,2,5,4,1,6,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[1,3,4,5,7,6,2]=>[1,7,3,4,6,5,2]=>[7,1,5,4,2,3,6]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[1,3,4,6,2,5,7]=>[1,5,3,6,2,4,7]=>[7,3,5,2,6,4,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[1,3,4,6,2,7,5]=>[1,5,3,7,2,6,4]=>[7,3,5,1,6,2,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,3,4,6,5,2,7]=>[1,6,3,5,4,2,7]=>[7,2,5,3,4,6,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[1,3,4,6,5,7,2]=>[1,7,3,5,4,6,2]=>[7,1,5,3,4,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[1,3,4,6,7,2,5]=>[1,6,3,7,5,2,4]=>[7,2,5,1,3,6,4]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[1,3,4,6,7,5,2]=>[1,7,3,6,5,4,2]=>[7,1,5,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,3,4,7,2,5,6]=>[1,5,3,7,2,6,4]=>[7,3,5,1,6,2,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,3,4,7,2,6,5]=>[1,5,3,7,2,6,4]=>[7,3,5,1,6,2,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,3,4,7,5,2,6]=>[1,6,3,7,5,2,4]=>[7,2,5,1,3,6,4]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[1,3,4,7,5,6,2]=>[1,7,3,6,5,4,2]=>[7,1,5,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,3,4,7,6,2,5]=>[1,6,3,7,5,2,4]=>[7,2,5,1,3,6,4]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[1,3,4,7,6,5,2]=>[1,7,3,6,5,4,2]=>[7,1,5,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,3,5,2,4,6,7]=>[1,4,5,2,3,6,7]=>[7,4,3,6,5,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[1,3,5,2,4,7,6]=>[1,4,5,2,3,7,6]=>[7,4,3,6,5,1,2]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[1,3,5,2,6,4,7]=>[1,4,6,2,5,3,7]=>[7,4,2,6,3,5,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[1,3,5,2,6,7,4]=>[1,4,7,2,5,6,3]=>[7,4,1,6,3,2,5]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[1,3,5,2,7,4,6]=>[1,4,6,2,7,3,5]=>[7,4,2,6,1,5,3]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[1,3,5,2,7,6,4]=>[1,4,7,2,6,5,3]=>[7,4,1,6,2,3,5]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[1,3,5,4,2,6,7]=>[1,5,4,3,2,6,7]=>[7,3,4,5,6,2,1]=>[[[[.,.],[.,[.,[.,.]]]],.],.]
[1,3,5,4,2,7,6]=>[1,5,4,3,2,7,6]=>[7,3,4,5,6,1,2]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[1,3,5,4,6,2,7]=>[1,6,4,3,5,2,7]=>[7,2,4,5,3,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[1,3,5,4,6,7,2]=>[1,7,4,3,5,6,2]=>[7,1,4,5,3,2,6]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[1,3,5,4,7,2,6]=>[1,6,4,3,7,2,5]=>[7,2,4,5,1,6,3]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[1,3,5,4,7,6,2]=>[1,7,4,3,6,5,2]=>[7,1,4,5,2,3,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[1,3,5,6,2,4,7]=>[1,5,6,4,2,3,7]=>[7,3,2,4,6,5,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]
[1,3,5,6,2,7,4]=>[1,5,7,4,2,6,3]=>[7,3,1,4,6,2,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[1,3,5,6,4,2,7]=>[1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[1,3,5,6,4,7,2]=>[1,7,5,4,3,6,2]=>[7,1,3,4,5,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,3,5,6,7,2,4]=>[1,6,7,4,5,2,3]=>[7,2,1,4,3,6,5]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[1,3,5,6,7,4,2]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,3,5,7,2,4,6]=>[1,5,6,7,2,3,4]=>[7,3,2,1,6,5,4]=>[[[[.,.],.],.],[[[.,.],.],.]]
[1,3,5,7,2,6,4]=>[1,5,7,6,2,4,3]=>[7,3,1,2,6,4,5]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[1,3,5,7,4,2,6]=>[1,6,5,7,3,2,4]=>[7,2,3,1,5,6,4]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[1,3,5,7,4,6,2]=>[1,7,5,6,3,4,2]=>[7,1,3,2,5,4,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[1,3,5,7,6,2,4]=>[1,6,7,5,4,2,3]=>[7,2,1,3,4,6,5]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[1,3,5,7,6,4,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,3,6,2,4,5,7]=>[1,4,6,2,5,3,7]=>[7,4,2,6,3,5,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[1,3,6,2,4,7,5]=>[1,4,7,2,5,6,3]=>[7,4,1,6,3,2,5]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[1,3,6,2,5,4,7]=>[1,4,6,2,5,3,7]=>[7,4,2,6,3,5,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[1,3,6,2,5,7,4]=>[1,4,7,2,5,6,3]=>[7,4,1,6,3,2,5]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[1,3,6,2,7,4,5]=>[1,4,7,2,6,5,3]=>[7,4,1,6,2,3,5]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[1,3,6,2,7,5,4]=>[1,4,7,2,6,5,3]=>[7,4,1,6,2,3,5]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[1,3,6,4,2,5,7]=>[1,5,6,4,2,3,7]=>[7,3,2,4,6,5,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]
[1,3,6,4,2,7,5]=>[1,5,7,4,2,6,3]=>[7,3,1,4,6,2,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[1,3,6,4,5,2,7]=>[1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[1,3,6,4,5,7,2]=>[1,7,5,4,3,6,2]=>[7,1,3,4,5,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,3,6,4,7,2,5]=>[1,6,7,4,5,2,3]=>[7,2,1,4,3,6,5]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[1,3,6,4,7,5,2]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,3,6,5,2,4,7]=>[1,5,6,4,2,3,7]=>[7,3,2,4,6,5,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]
[1,3,6,5,2,7,4]=>[1,5,7,4,2,6,3]=>[7,3,1,4,6,2,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[1,3,6,5,4,2,7]=>[1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[1,3,6,5,4,7,2]=>[1,7,5,4,3,6,2]=>[7,1,3,4,5,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,3,6,5,7,2,4]=>[1,6,7,4,5,2,3]=>[7,2,1,4,3,6,5]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[1,3,6,5,7,4,2]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,3,6,7,2,4,5]=>[1,5,7,6,2,4,3]=>[7,3,1,2,6,4,5]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[1,3,6,7,2,5,4]=>[1,5,7,6,2,4,3]=>[7,3,1,2,6,4,5]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[1,3,6,7,4,2,5]=>[1,6,7,5,4,2,3]=>[7,2,1,3,4,6,5]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[1,3,6,7,4,5,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,3,6,7,5,2,4]=>[1,6,7,5,4,2,3]=>[7,2,1,3,4,6,5]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[1,3,6,7,5,4,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,3,7,2,4,5,6]=>[1,4,7,2,5,6,3]=>[7,4,1,6,3,2,5]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[1,3,7,2,4,6,5]=>[1,4,7,2,5,6,3]=>[7,4,1,6,3,2,5]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[1,3,7,2,5,4,6]=>[1,4,7,2,6,5,3]=>[7,4,1,6,2,3,5]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[1,3,7,2,5,6,4]=>[1,4,7,2,6,5,3]=>[7,4,1,6,2,3,5]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[1,3,7,2,6,4,5]=>[1,4,7,2,6,5,3]=>[7,4,1,6,2,3,5]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[1,3,7,2,6,5,4]=>[1,4,7,2,6,5,3]=>[7,4,1,6,2,3,5]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[1,3,7,4,2,5,6]=>[1,5,7,4,2,6,3]=>[7,3,1,4,6,2,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[1,3,7,4,2,6,5]=>[1,5,7,4,2,6,3]=>[7,3,1,4,6,2,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[1,3,7,4,5,2,6]=>[1,6,7,4,5,2,3]=>[7,2,1,4,3,6,5]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[1,3,7,4,5,6,2]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,3,7,4,6,2,5]=>[1,6,7,4,5,2,3]=>[7,2,1,4,3,6,5]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[1,3,7,4,6,5,2]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,3,7,5,2,4,6]=>[1,5,7,6,2,4,3]=>[7,3,1,2,6,4,5]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[1,3,7,5,2,6,4]=>[1,5,7,6,2,4,3]=>[7,3,1,2,6,4,5]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[1,3,7,5,4,2,6]=>[1,6,7,5,4,2,3]=>[7,2,1,3,4,6,5]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[1,3,7,5,4,6,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,3,7,5,6,2,4]=>[1,6,7,5,4,2,3]=>[7,2,1,3,4,6,5]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[1,3,7,5,6,4,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,3,7,6,2,4,5]=>[1,5,7,6,2,4,3]=>[7,3,1,2,6,4,5]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[1,3,7,6,2,5,4]=>[1,5,7,6,2,4,3]=>[7,3,1,2,6,4,5]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[1,3,7,6,4,2,5]=>[1,6,7,5,4,2,3]=>[7,2,1,3,4,6,5]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[1,3,7,6,4,5,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,3,7,6,5,2,4]=>[1,6,7,5,4,2,3]=>[7,2,1,3,4,6,5]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[1,3,7,6,5,4,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,4,2,3,5,6,7]=>[1,4,3,2,5,6,7]=>[7,4,5,6,3,2,1]=>[[[[[.,.],[.,[.,.]]],.],.],.]
[1,4,2,3,5,7,6]=>[1,4,3,2,5,7,6]=>[7,4,5,6,3,1,2]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[1,4,2,3,6,5,7]=>[1,4,3,2,6,5,7]=>[7,4,5,6,2,3,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[1,4,2,3,6,7,5]=>[1,4,3,2,7,6,5]=>[7,4,5,6,1,2,3]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[1,4,2,3,7,5,6]=>[1,4,3,2,7,6,5]=>[7,4,5,6,1,2,3]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[1,4,2,3,7,6,5]=>[1,4,3,2,7,6,5]=>[7,4,5,6,1,2,3]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[1,4,2,5,3,6,7]=>[1,5,3,4,2,6,7]=>[7,3,5,4,6,2,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]
[1,4,2,5,3,7,6]=>[1,5,3,4,2,7,6]=>[7,3,5,4,6,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[1,4,2,5,6,3,7]=>[1,6,3,4,5,2,7]=>[7,2,5,4,3,6,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[1,4,2,5,6,7,3]=>[1,7,3,4,5,6,2]=>[7,1,5,4,3,2,6]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[1,4,2,5,7,3,6]=>[1,6,3,4,7,2,5]=>[7,2,5,4,1,6,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[1,4,2,5,7,6,3]=>[1,7,3,4,6,5,2]=>[7,1,5,4,2,3,6]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[1,4,2,6,3,5,7]=>[1,5,3,6,2,4,7]=>[7,3,5,2,6,4,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[1,4,2,6,3,7,5]=>[1,5,3,7,2,6,4]=>[7,3,5,1,6,2,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,4,2,6,5,3,7]=>[1,6,3,5,4,2,7]=>[7,2,5,3,4,6,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[1,4,2,6,5,7,3]=>[1,7,3,5,4,6,2]=>[7,1,5,3,4,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[1,4,2,6,7,3,5]=>[1,6,3,7,5,2,4]=>[7,2,5,1,3,6,4]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[1,4,2,6,7,5,3]=>[1,7,3,6,5,4,2]=>[7,1,5,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,4,2,7,3,5,6]=>[1,5,3,7,2,6,4]=>[7,3,5,1,6,2,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,4,2,7,3,6,5]=>[1,5,3,7,2,6,4]=>[7,3,5,1,6,2,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,4,2,7,5,3,6]=>[1,6,3,7,5,2,4]=>[7,2,5,1,3,6,4]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[1,4,2,7,5,6,3]=>[1,7,3,6,5,4,2]=>[7,1,5,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,4,2,7,6,3,5]=>[1,6,3,7,5,2,4]=>[7,2,5,1,3,6,4]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[1,4,2,7,6,5,3]=>[1,7,3,6,5,4,2]=>[7,1,5,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,4,3,2,5,6,7]=>[1,4,3,2,5,6,7]=>[7,4,5,6,3,2,1]=>[[[[[.,.],[.,[.,.]]],.],.],.]
[1,4,3,2,5,7,6]=>[1,4,3,2,5,7,6]=>[7,4,5,6,3,1,2]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[1,4,3,2,6,5,7]=>[1,4,3,2,6,5,7]=>[7,4,5,6,2,3,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[1,4,3,2,6,7,5]=>[1,4,3,2,7,6,5]=>[7,4,5,6,1,2,3]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[1,4,3,2,7,5,6]=>[1,4,3,2,7,6,5]=>[7,4,5,6,1,2,3]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[1,4,3,2,7,6,5]=>[1,4,3,2,7,6,5]=>[7,4,5,6,1,2,3]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[1,4,3,5,2,6,7]=>[1,5,3,4,2,6,7]=>[7,3,5,4,6,2,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]
[1,4,3,5,2,7,6]=>[1,5,3,4,2,7,6]=>[7,3,5,4,6,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[1,4,3,5,6,2,7]=>[1,6,3,4,5,2,7]=>[7,2,5,4,3,6,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[1,4,3,5,6,7,2]=>[1,7,3,4,5,6,2]=>[7,1,5,4,3,2,6]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[1,4,3,5,7,2,6]=>[1,6,3,4,7,2,5]=>[7,2,5,4,1,6,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[1,4,3,5,7,6,2]=>[1,7,3,4,6,5,2]=>[7,1,5,4,2,3,6]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[1,4,3,6,2,5,7]=>[1,5,3,6,2,4,7]=>[7,3,5,2,6,4,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[1,4,3,6,2,7,5]=>[1,5,3,7,2,6,4]=>[7,3,5,1,6,2,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,4,3,6,5,2,7]=>[1,6,3,5,4,2,7]=>[7,2,5,3,4,6,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[1,4,3,6,5,7,2]=>[1,7,3,5,4,6,2]=>[7,1,5,3,4,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[1,4,3,6,7,2,5]=>[1,6,3,7,5,2,4]=>[7,2,5,1,3,6,4]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[1,4,3,6,7,5,2]=>[1,7,3,6,5,4,2]=>[7,1,5,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,4,3,7,2,5,6]=>[1,5,3,7,2,6,4]=>[7,3,5,1,6,2,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,4,3,7,2,6,5]=>[1,5,3,7,2,6,4]=>[7,3,5,1,6,2,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,4,3,7,5,2,6]=>[1,6,3,7,5,2,4]=>[7,2,5,1,3,6,4]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[1,4,3,7,5,6,2]=>[1,7,3,6,5,4,2]=>[7,1,5,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,4,3,7,6,2,5]=>[1,6,3,7,5,2,4]=>[7,2,5,1,3,6,4]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[1,4,3,7,6,5,2]=>[1,7,3,6,5,4,2]=>[7,1,5,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,4,5,2,3,6,7]=>[1,5,4,3,2,6,7]=>[7,3,4,5,6,2,1]=>[[[[.,.],[.,[.,[.,.]]]],.],.]
[1,4,5,2,3,7,6]=>[1,5,4,3,2,7,6]=>[7,3,4,5,6,1,2]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[1,4,5,2,6,3,7]=>[1,6,4,3,5,2,7]=>[7,2,4,5,3,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[1,4,5,2,6,7,3]=>[1,7,4,3,5,6,2]=>[7,1,4,5,3,2,6]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[1,4,5,2,7,3,6]=>[1,6,4,3,7,2,5]=>[7,2,4,5,1,6,3]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[1,4,5,2,7,6,3]=>[1,7,4,3,6,5,2]=>[7,1,4,5,2,3,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[1,4,5,3,2,6,7]=>[1,5,4,3,2,6,7]=>[7,3,4,5,6,2,1]=>[[[[.,.],[.,[.,[.,.]]]],.],.]
[1,4,5,3,2,7,6]=>[1,5,4,3,2,7,6]=>[7,3,4,5,6,1,2]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[1,4,5,3,6,2,7]=>[1,6,4,3,5,2,7]=>[7,2,4,5,3,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[1,4,5,3,6,7,2]=>[1,7,4,3,5,6,2]=>[7,1,4,5,3,2,6]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[1,4,5,3,7,2,6]=>[1,6,4,3,7,2,5]=>[7,2,4,5,1,6,3]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[1,4,5,3,7,6,2]=>[1,7,4,3,6,5,2]=>[7,1,4,5,2,3,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[1,4,5,6,2,3,7]=>[1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[1,4,5,6,2,7,3]=>[1,7,5,4,3,6,2]=>[7,1,3,4,5,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,4,5,6,3,2,7]=>[1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[1,4,5,6,3,7,2]=>[1,7,5,4,3,6,2]=>[7,1,3,4,5,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,4,5,6,7,2,3]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,4,5,6,7,3,2]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,4,5,7,2,3,6]=>[1,6,5,7,3,2,4]=>[7,2,3,1,5,6,4]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[1,4,5,7,2,6,3]=>[1,7,5,6,3,4,2]=>[7,1,3,2,5,4,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[1,4,5,7,3,2,6]=>[1,6,5,7,3,2,4]=>[7,2,3,1,5,6,4]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[1,4,5,7,3,6,2]=>[1,7,5,6,3,4,2]=>[7,1,3,2,5,4,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[1,4,5,7,6,2,3]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,4,5,7,6,3,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,4,6,2,3,5,7]=>[1,5,6,4,2,3,7]=>[7,3,2,4,6,5,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]
[1,4,6,2,3,7,5]=>[1,5,7,4,2,6,3]=>[7,3,1,4,6,2,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[1,4,6,2,5,3,7]=>[1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[1,4,6,2,5,7,3]=>[1,7,5,4,3,6,2]=>[7,1,3,4,5,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,4,6,2,7,3,5]=>[1,6,7,4,5,2,3]=>[7,2,1,4,3,6,5]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[1,4,6,2,7,5,3]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,4,6,3,2,5,7]=>[1,5,6,4,2,3,7]=>[7,3,2,4,6,5,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]
[1,4,6,3,2,7,5]=>[1,5,7,4,2,6,3]=>[7,3,1,4,6,2,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[1,4,6,3,5,2,7]=>[1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[1,4,6,3,5,7,2]=>[1,7,5,4,3,6,2]=>[7,1,3,4,5,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,4,6,3,7,2,5]=>[1,6,7,4,5,2,3]=>[7,2,1,4,3,6,5]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[1,4,6,3,7,5,2]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,4,6,5,2,3,7]=>[1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[1,4,6,5,2,7,3]=>[1,7,5,4,3,6,2]=>[7,1,3,4,5,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,4,6,5,3,2,7]=>[1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[1,4,6,5,3,7,2]=>[1,7,5,4,3,6,2]=>[7,1,3,4,5,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,4,6,5,7,2,3]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,4,6,5,7,3,2]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,4,6,7,2,3,5]=>[1,6,7,5,4,2,3]=>[7,2,1,3,4,6,5]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[1,4,6,7,2,5,3]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,4,6,7,3,2,5]=>[1,6,7,5,4,2,3]=>[7,2,1,3,4,6,5]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[1,4,6,7,3,5,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,4,6,7,5,2,3]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,4,6,7,5,3,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,4,7,2,3,5,6]=>[1,5,7,4,2,6,3]=>[7,3,1,4,6,2,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[1,4,7,2,3,6,5]=>[1,5,7,4,2,6,3]=>[7,3,1,4,6,2,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[1,4,7,2,5,3,6]=>[1,6,7,4,5,2,3]=>[7,2,1,4,3,6,5]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[1,4,7,2,5,6,3]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,4,7,2,6,3,5]=>[1,6,7,4,5,2,3]=>[7,2,1,4,3,6,5]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[1,4,7,2,6,5,3]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,4,7,3,2,5,6]=>[1,5,7,4,2,6,3]=>[7,3,1,4,6,2,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[1,4,7,3,2,6,5]=>[1,5,7,4,2,6,3]=>[7,3,1,4,6,2,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[1,4,7,3,5,2,6]=>[1,6,7,4,5,2,3]=>[7,2,1,4,3,6,5]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[1,4,7,3,5,6,2]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,4,7,3,6,2,5]=>[1,6,7,4,5,2,3]=>[7,2,1,4,3,6,5]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[1,4,7,3,6,5,2]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,4,7,5,2,3,6]=>[1,6,7,5,4,2,3]=>[7,2,1,3,4,6,5]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[1,4,7,5,2,6,3]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,4,7,5,3,2,6]=>[1,6,7,5,4,2,3]=>[7,2,1,3,4,6,5]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[1,4,7,5,3,6,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,4,7,5,6,2,3]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,4,7,5,6,3,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,4,7,6,2,3,5]=>[1,6,7,5,4,2,3]=>[7,2,1,3,4,6,5]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[1,4,7,6,2,5,3]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,4,7,6,3,2,5]=>[1,6,7,5,4,2,3]=>[7,2,1,3,4,6,5]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[1,4,7,6,3,5,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,4,7,6,5,2,3]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,4,7,6,5,3,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,5,2,3,4,6,7]=>[1,5,3,4,2,6,7]=>[7,3,5,4,6,2,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]
[1,5,2,3,4,7,6]=>[1,5,3,4,2,7,6]=>[7,3,5,4,6,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[1,5,2,3,6,4,7]=>[1,6,3,4,5,2,7]=>[7,2,5,4,3,6,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[1,5,2,3,6,7,4]=>[1,7,3,4,5,6,2]=>[7,1,5,4,3,2,6]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[1,5,2,3,7,4,6]=>[1,6,3,4,7,2,5]=>[7,2,5,4,1,6,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[1,5,2,3,7,6,4]=>[1,7,3,4,6,5,2]=>[7,1,5,4,2,3,6]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[1,5,2,4,3,6,7]=>[1,5,3,4,2,6,7]=>[7,3,5,4,6,2,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]
[1,5,2,4,3,7,6]=>[1,5,3,4,2,7,6]=>[7,3,5,4,6,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[1,5,2,4,6,3,7]=>[1,6,3,4,5,2,7]=>[7,2,5,4,3,6,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[1,5,2,4,6,7,3]=>[1,7,3,4,5,6,2]=>[7,1,5,4,3,2,6]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[1,5,2,4,7,3,6]=>[1,6,3,4,7,2,5]=>[7,2,5,4,1,6,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[1,5,2,4,7,6,3]=>[1,7,3,4,6,5,2]=>[7,1,5,4,2,3,6]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[1,5,2,6,3,4,7]=>[1,6,3,5,4,2,7]=>[7,2,5,3,4,6,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[1,5,2,6,3,7,4]=>[1,7,3,5,4,6,2]=>[7,1,5,3,4,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[1,5,2,6,4,3,7]=>[1,6,3,5,4,2,7]=>[7,2,5,3,4,6,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[1,5,2,6,4,7,3]=>[1,7,3,5,4,6,2]=>[7,1,5,3,4,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[1,5,2,6,7,3,4]=>[1,7,3,6,5,4,2]=>[7,1,5,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,5,2,6,7,4,3]=>[1,7,3,6,5,4,2]=>[7,1,5,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,5,2,7,3,4,6]=>[1,6,3,7,5,2,4]=>[7,2,5,1,3,6,4]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[1,5,2,7,3,6,4]=>[1,7,3,6,5,4,2]=>[7,1,5,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,5,2,7,4,3,6]=>[1,6,3,7,5,2,4]=>[7,2,5,1,3,6,4]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[1,5,2,7,4,6,3]=>[1,7,3,6,5,4,2]=>[7,1,5,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,5,2,7,6,3,4]=>[1,7,3,6,5,4,2]=>[7,1,5,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,5,2,7,6,4,3]=>[1,7,3,6,5,4,2]=>[7,1,5,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,5,3,2,4,6,7]=>[1,5,4,3,2,6,7]=>[7,3,4,5,6,2,1]=>[[[[.,.],[.,[.,[.,.]]]],.],.]
[1,5,3,2,4,7,6]=>[1,5,4,3,2,7,6]=>[7,3,4,5,6,1,2]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[1,5,3,2,6,4,7]=>[1,6,4,3,5,2,7]=>[7,2,4,5,3,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[1,5,3,2,6,7,4]=>[1,7,4,3,5,6,2]=>[7,1,4,5,3,2,6]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[1,5,3,2,7,4,6]=>[1,6,4,3,7,2,5]=>[7,2,4,5,1,6,3]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[1,5,3,2,7,6,4]=>[1,7,4,3,6,5,2]=>[7,1,4,5,2,3,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[1,5,3,4,2,6,7]=>[1,5,4,3,2,6,7]=>[7,3,4,5,6,2,1]=>[[[[.,.],[.,[.,[.,.]]]],.],.]
[1,5,3,4,2,7,6]=>[1,5,4,3,2,7,6]=>[7,3,4,5,6,1,2]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[1,5,3,4,6,2,7]=>[1,6,4,3,5,2,7]=>[7,2,4,5,3,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[1,5,3,4,6,7,2]=>[1,7,4,3,5,6,2]=>[7,1,4,5,3,2,6]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[1,5,3,4,7,2,6]=>[1,6,4,3,7,2,5]=>[7,2,4,5,1,6,3]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[1,5,3,4,7,6,2]=>[1,7,4,3,6,5,2]=>[7,1,4,5,2,3,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[1,5,3,6,2,4,7]=>[1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[1,5,3,6,2,7,4]=>[1,7,5,4,3,6,2]=>[7,1,3,4,5,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,5,3,6,4,2,7]=>[1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[1,5,3,6,4,7,2]=>[1,7,5,4,3,6,2]=>[7,1,3,4,5,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,5,3,6,7,2,4]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,5,3,6,7,4,2]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,5,3,7,2,4,6]=>[1,6,5,7,3,2,4]=>[7,2,3,1,5,6,4]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[1,5,3,7,2,6,4]=>[1,7,5,6,3,4,2]=>[7,1,3,2,5,4,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[1,5,3,7,4,2,6]=>[1,6,5,7,3,2,4]=>[7,2,3,1,5,6,4]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[1,5,3,7,4,6,2]=>[1,7,5,6,3,4,2]=>[7,1,3,2,5,4,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[1,5,3,7,6,2,4]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,5,3,7,6,4,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,5,4,2,3,6,7]=>[1,5,4,3,2,6,7]=>[7,3,4,5,6,2,1]=>[[[[.,.],[.,[.,[.,.]]]],.],.]
[1,5,4,2,3,7,6]=>[1,5,4,3,2,7,6]=>[7,3,4,5,6,1,2]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[1,5,4,2,6,3,7]=>[1,6,4,3,5,2,7]=>[7,2,4,5,3,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[1,5,4,2,6,7,3]=>[1,7,4,3,5,6,2]=>[7,1,4,5,3,2,6]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[1,5,4,2,7,3,6]=>[1,6,4,3,7,2,5]=>[7,2,4,5,1,6,3]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[1,5,4,2,7,6,3]=>[1,7,4,3,6,5,2]=>[7,1,4,5,2,3,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[1,5,4,3,2,6,7]=>[1,5,4,3,2,6,7]=>[7,3,4,5,6,2,1]=>[[[[.,.],[.,[.,[.,.]]]],.],.]
[1,5,4,3,2,7,6]=>[1,5,4,3,2,7,6]=>[7,3,4,5,6,1,2]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[1,5,4,3,6,2,7]=>[1,6,4,3,5,2,7]=>[7,2,4,5,3,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[1,5,4,3,6,7,2]=>[1,7,4,3,5,6,2]=>[7,1,4,5,3,2,6]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[1,5,4,3,7,2,6]=>[1,6,4,3,7,2,5]=>[7,2,4,5,1,6,3]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[1,5,4,3,7,6,2]=>[1,7,4,3,6,5,2]=>[7,1,4,5,2,3,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[1,5,4,6,2,3,7]=>[1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[1,5,4,6,2,7,3]=>[1,7,5,4,3,6,2]=>[7,1,3,4,5,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,5,4,6,3,2,7]=>[1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[1,5,4,6,3,7,2]=>[1,7,5,4,3,6,2]=>[7,1,3,4,5,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,5,4,6,7,2,3]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,5,4,6,7,3,2]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,5,4,7,2,3,6]=>[1,6,5,7,3,2,4]=>[7,2,3,1,5,6,4]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[1,5,4,7,2,6,3]=>[1,7,5,6,3,4,2]=>[7,1,3,2,5,4,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[1,5,4,7,3,2,6]=>[1,6,5,7,3,2,4]=>[7,2,3,1,5,6,4]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[1,5,4,7,3,6,2]=>[1,7,5,6,3,4,2]=>[7,1,3,2,5,4,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[1,5,4,7,6,2,3]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,5,4,7,6,3,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,5,6,2,3,4,7]=>[1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[1,5,6,2,3,7,4]=>[1,7,5,4,3,6,2]=>[7,1,3,4,5,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,5,6,2,4,3,7]=>[1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[1,5,6,2,4,7,3]=>[1,7,5,4,3,6,2]=>[7,1,3,4,5,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,5,6,2,7,3,4]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,5,6,2,7,4,3]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,5,6,3,2,4,7]=>[1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[1,5,6,3,2,7,4]=>[1,7,5,4,3,6,2]=>[7,1,3,4,5,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,5,6,3,4,2,7]=>[1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[1,5,6,3,4,7,2]=>[1,7,5,4,3,6,2]=>[7,1,3,4,5,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,5,6,3,7,2,4]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,5,6,3,7,4,2]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,5,6,4,2,3,7]=>[1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[1,5,6,4,2,7,3]=>[1,7,5,4,3,6,2]=>[7,1,3,4,5,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,5,6,4,3,2,7]=>[1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[1,5,6,4,3,7,2]=>[1,7,5,4,3,6,2]=>[7,1,3,4,5,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,5,6,4,7,2,3]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,5,6,4,7,3,2]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,5,6,7,2,3,4]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,5,6,7,2,4,3]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,5,6,7,3,2,4]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,5,6,7,3,4,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,5,6,7,4,2,3]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,5,6,7,4,3,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,5,7,2,3,4,6]=>[1,6,7,4,5,2,3]=>[7,2,1,4,3,6,5]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[1,5,7,2,3,6,4]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,5,7,2,4,3,6]=>[1,6,7,4,5,2,3]=>[7,2,1,4,3,6,5]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[1,5,7,2,4,6,3]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,5,7,2,6,3,4]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,5,7,2,6,4,3]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,5,7,3,2,4,6]=>[1,6,7,5,4,2,3]=>[7,2,1,3,4,6,5]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[1,5,7,3,2,6,4]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,5,7,3,4,2,6]=>[1,6,7,5,4,2,3]=>[7,2,1,3,4,6,5]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[1,5,7,3,4,6,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,5,7,3,6,2,4]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,5,7,3,6,4,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,5,7,4,2,3,6]=>[1,6,7,5,4,2,3]=>[7,2,1,3,4,6,5]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[1,5,7,4,2,6,3]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,5,7,4,3,2,6]=>[1,6,7,5,4,2,3]=>[7,2,1,3,4,6,5]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[1,5,7,4,3,6,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,5,7,4,6,2,3]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,5,7,4,6,3,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,5,7,6,2,3,4]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,5,7,6,2,4,3]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,5,7,6,3,2,4]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,5,7,6,3,4,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,5,7,6,4,2,3]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,5,7,6,4,3,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,6,2,3,4,5,7]=>[1,6,3,4,5,2,7]=>[7,2,5,4,3,6,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[1,6,2,3,4,7,5]=>[1,7,3,4,5,6,2]=>[7,1,5,4,3,2,6]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[1,6,2,3,5,4,7]=>[1,6,3,4,5,2,7]=>[7,2,5,4,3,6,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[1,6,2,3,5,7,4]=>[1,7,3,4,5,6,2]=>[7,1,5,4,3,2,6]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[1,6,2,3,7,4,5]=>[1,7,3,4,6,5,2]=>[7,1,5,4,2,3,6]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[1,6,2,3,7,5,4]=>[1,7,3,4,6,5,2]=>[7,1,5,4,2,3,6]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[1,6,2,4,3,5,7]=>[1,6,3,5,4,2,7]=>[7,2,5,3,4,6,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[1,6,2,4,3,7,5]=>[1,7,3,5,4,6,2]=>[7,1,5,3,4,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[1,6,2,4,5,3,7]=>[1,6,3,5,4,2,7]=>[7,2,5,3,4,6,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[1,6,2,4,5,7,3]=>[1,7,3,5,4,6,2]=>[7,1,5,3,4,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[1,6,2,4,7,3,5]=>[1,7,3,6,5,4,2]=>[7,1,5,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,6,2,4,7,5,3]=>[1,7,3,6,5,4,2]=>[7,1,5,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,6,2,5,3,4,7]=>[1,6,3,5,4,2,7]=>[7,2,5,3,4,6,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[1,6,2,5,3,7,4]=>[1,7,3,5,4,6,2]=>[7,1,5,3,4,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[1,6,2,5,4,3,7]=>[1,6,3,5,4,2,7]=>[7,2,5,3,4,6,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[1,6,2,5,4,7,3]=>[1,7,3,5,4,6,2]=>[7,1,5,3,4,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[1,6,2,5,7,3,4]=>[1,7,3,6,5,4,2]=>[7,1,5,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,6,2,5,7,4,3]=>[1,7,3,6,5,4,2]=>[7,1,5,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,6,2,7,3,4,5]=>[1,7,3,6,5,4,2]=>[7,1,5,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,6,2,7,3,5,4]=>[1,7,3,6,5,4,2]=>[7,1,5,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,6,2,7,4,3,5]=>[1,7,3,6,5,4,2]=>[7,1,5,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,6,2,7,4,5,3]=>[1,7,3,6,5,4,2]=>[7,1,5,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,6,2,7,5,3,4]=>[1,7,3,6,5,4,2]=>[7,1,5,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,6,2,7,5,4,3]=>[1,7,3,6,5,4,2]=>[7,1,5,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,6,3,2,4,5,7]=>[1,6,4,3,5,2,7]=>[7,2,4,5,3,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[1,6,3,2,4,7,5]=>[1,7,4,3,5,6,2]=>[7,1,4,5,3,2,6]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[1,6,3,2,5,4,7]=>[1,6,4,3,5,2,7]=>[7,2,4,5,3,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[1,6,3,2,5,7,4]=>[1,7,4,3,5,6,2]=>[7,1,4,5,3,2,6]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[1,6,3,2,7,4,5]=>[1,7,4,3,6,5,2]=>[7,1,4,5,2,3,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[1,6,3,2,7,5,4]=>[1,7,4,3,6,5,2]=>[7,1,4,5,2,3,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[1,6,3,4,2,5,7]=>[1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[1,6,3,4,2,7,5]=>[1,7,5,4,3,6,2]=>[7,1,3,4,5,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,6,3,4,5,2,7]=>[1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[1,6,3,4,5,7,2]=>[1,7,5,4,3,6,2]=>[7,1,3,4,5,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,6,3,4,7,2,5]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,6,3,4,7,5,2]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,6,3,5,2,4,7]=>[1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[1,6,3,5,2,7,4]=>[1,7,5,4,3,6,2]=>[7,1,3,4,5,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,6,3,5,4,2,7]=>[1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[1,6,3,5,4,7,2]=>[1,7,5,4,3,6,2]=>[7,1,3,4,5,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,6,3,5,7,2,4]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,6,3,5,7,4,2]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,6,3,7,2,4,5]=>[1,7,5,6,3,4,2]=>[7,1,3,2,5,4,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[1,6,3,7,2,5,4]=>[1,7,5,6,3,4,2]=>[7,1,3,2,5,4,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[1,6,3,7,4,2,5]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,6,3,7,4,5,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,6,3,7,5,2,4]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,6,3,7,5,4,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,6,4,2,3,5,7]=>[1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[1,6,4,2,3,7,5]=>[1,7,5,4,3,6,2]=>[7,1,3,4,5,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,6,4,2,5,3,7]=>[1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[1,6,4,2,5,7,3]=>[1,7,5,4,3,6,2]=>[7,1,3,4,5,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,6,4,2,7,3,5]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,6,4,2,7,5,3]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,6,4,3,2,5,7]=>[1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[1,6,4,3,2,7,5]=>[1,7,5,4,3,6,2]=>[7,1,3,4,5,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,6,4,3,5,2,7]=>[1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[1,6,4,3,5,7,2]=>[1,7,5,4,3,6,2]=>[7,1,3,4,5,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,6,4,3,7,2,5]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,6,4,3,7,5,2]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,6,4,5,2,3,7]=>[1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[1,6,4,5,2,7,3]=>[1,7,5,4,3,6,2]=>[7,1,3,4,5,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,6,4,5,3,2,7]=>[1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[1,6,4,5,3,7,2]=>[1,7,5,4,3,6,2]=>[7,1,3,4,5,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,6,4,5,7,2,3]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,6,4,5,7,3,2]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,6,4,7,2,3,5]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,6,4,7,2,5,3]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,6,4,7,3,2,5]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,6,4,7,3,5,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,6,4,7,5,2,3]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,6,4,7,5,3,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,6,5,2,3,4,7]=>[1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[1,6,5,2,3,7,4]=>[1,7,5,4,3,6,2]=>[7,1,3,4,5,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,6,5,2,4,3,7]=>[1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[1,6,5,2,4,7,3]=>[1,7,5,4,3,6,2]=>[7,1,3,4,5,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,6,5,2,7,3,4]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,6,5,2,7,4,3]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,6,5,3,2,4,7]=>[1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[1,6,5,3,2,7,4]=>[1,7,5,4,3,6,2]=>[7,1,3,4,5,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,6,5,3,4,2,7]=>[1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[1,6,5,3,4,7,2]=>[1,7,5,4,3,6,2]=>[7,1,3,4,5,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,6,5,3,7,2,4]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,6,5,3,7,4,2]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,6,5,4,2,3,7]=>[1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[1,6,5,4,2,7,3]=>[1,7,5,4,3,6,2]=>[7,1,3,4,5,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,6,5,4,3,2,7]=>[1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[1,6,5,4,3,7,2]=>[1,7,5,4,3,6,2]=>[7,1,3,4,5,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,6,5,4,7,2,3]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,6,5,4,7,3,2]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,6,5,7,2,3,4]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,6,5,7,2,4,3]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,6,5,7,3,2,4]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,6,5,7,3,4,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,6,5,7,4,2,3]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,6,5,7,4,3,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,6,7,2,3,4,5]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,6,7,2,3,5,4]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,6,7,2,4,3,5]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,6,7,2,4,5,3]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,6,7,2,5,3,4]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,6,7,2,5,4,3]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,6,7,3,2,4,5]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,6,7,3,2,5,4]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,6,7,3,4,2,5]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,6,7,3,4,5,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,6,7,3,5,2,4]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,6,7,3,5,4,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,6,7,4,2,3,5]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,6,7,4,2,5,3]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,6,7,4,3,2,5]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,6,7,4,3,5,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,6,7,4,5,2,3]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,6,7,4,5,3,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,6,7,5,2,3,4]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,6,7,5,2,4,3]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,6,7,5,3,2,4]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,6,7,5,3,4,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,6,7,5,4,2,3]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,6,7,5,4,3,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,2,3,4,5,6]=>[1,7,3,4,5,6,2]=>[7,1,5,4,3,2,6]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[1,7,2,3,4,6,5]=>[1,7,3,4,5,6,2]=>[7,1,5,4,3,2,6]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[1,7,2,3,5,4,6]=>[1,7,3,4,6,5,2]=>[7,1,5,4,2,3,6]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[1,7,2,3,5,6,4]=>[1,7,3,4,6,5,2]=>[7,1,5,4,2,3,6]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[1,7,2,3,6,4,5]=>[1,7,3,4,6,5,2]=>[7,1,5,4,2,3,6]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[1,7,2,3,6,5,4]=>[1,7,3,4,6,5,2]=>[7,1,5,4,2,3,6]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[1,7,2,4,3,5,6]=>[1,7,3,5,4,6,2]=>[7,1,5,3,4,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[1,7,2,4,3,6,5]=>[1,7,3,5,4,6,2]=>[7,1,5,3,4,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[1,7,2,4,5,3,6]=>[1,7,3,6,5,4,2]=>[7,1,5,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,7,2,4,5,6,3]=>[1,7,3,6,5,4,2]=>[7,1,5,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,7,2,4,6,3,5]=>[1,7,3,6,5,4,2]=>[7,1,5,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,7,2,4,6,5,3]=>[1,7,3,6,5,4,2]=>[7,1,5,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,7,2,5,3,4,6]=>[1,7,3,6,5,4,2]=>[7,1,5,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,7,2,5,3,6,4]=>[1,7,3,6,5,4,2]=>[7,1,5,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,7,2,5,4,3,6]=>[1,7,3,6,5,4,2]=>[7,1,5,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,7,2,5,4,6,3]=>[1,7,3,6,5,4,2]=>[7,1,5,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,7,2,5,6,3,4]=>[1,7,3,6,5,4,2]=>[7,1,5,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,7,2,5,6,4,3]=>[1,7,3,6,5,4,2]=>[7,1,5,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,7,2,6,3,4,5]=>[1,7,3,6,5,4,2]=>[7,1,5,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,7,2,6,3,5,4]=>[1,7,3,6,5,4,2]=>[7,1,5,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,7,2,6,4,3,5]=>[1,7,3,6,5,4,2]=>[7,1,5,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,7,2,6,4,5,3]=>[1,7,3,6,5,4,2]=>[7,1,5,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,7,2,6,5,3,4]=>[1,7,3,6,5,4,2]=>[7,1,5,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,7,2,6,5,4,3]=>[1,7,3,6,5,4,2]=>[7,1,5,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,7,3,2,4,5,6]=>[1,7,4,3,5,6,2]=>[7,1,4,5,3,2,6]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[1,7,3,2,4,6,5]=>[1,7,4,3,5,6,2]=>[7,1,4,5,3,2,6]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[1,7,3,2,5,4,6]=>[1,7,4,3,6,5,2]=>[7,1,4,5,2,3,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[1,7,3,2,5,6,4]=>[1,7,4,3,6,5,2]=>[7,1,4,5,2,3,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[1,7,3,2,6,4,5]=>[1,7,4,3,6,5,2]=>[7,1,4,5,2,3,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[1,7,3,2,6,5,4]=>[1,7,4,3,6,5,2]=>[7,1,4,5,2,3,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[1,7,3,4,2,5,6]=>[1,7,5,4,3,6,2]=>[7,1,3,4,5,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,7,3,4,2,6,5]=>[1,7,5,4,3,6,2]=>[7,1,3,4,5,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,7,3,4,5,2,6]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,7,3,4,5,6,2]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,7,3,4,6,2,5]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,7,3,4,6,5,2]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,7,3,5,2,4,6]=>[1,7,5,6,3,4,2]=>[7,1,3,2,5,4,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[1,7,3,5,2,6,4]=>[1,7,5,6,3,4,2]=>[7,1,3,2,5,4,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[1,7,3,5,4,2,6]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,3,5,4,6,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,3,5,6,2,4]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,3,5,6,4,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,3,6,2,4,5]=>[1,7,5,6,3,4,2]=>[7,1,3,2,5,4,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[1,7,3,6,2,5,4]=>[1,7,5,6,3,4,2]=>[7,1,3,2,5,4,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[1,7,3,6,4,2,5]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,3,6,4,5,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,3,6,5,2,4]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,3,6,5,4,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,4,2,3,5,6]=>[1,7,5,4,3,6,2]=>[7,1,3,4,5,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,7,4,2,3,6,5]=>[1,7,5,4,3,6,2]=>[7,1,3,4,5,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,7,4,2,5,3,6]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,7,4,2,5,6,3]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,7,4,2,6,3,5]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,7,4,2,6,5,3]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,7,4,3,2,5,6]=>[1,7,5,4,3,6,2]=>[7,1,3,4,5,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,7,4,3,2,6,5]=>[1,7,5,4,3,6,2]=>[7,1,3,4,5,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,7,4,3,5,2,6]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,7,4,3,5,6,2]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,7,4,3,6,2,5]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,7,4,3,6,5,2]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,7,4,5,2,3,6]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,4,5,2,6,3]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,4,5,3,2,6]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,4,5,3,6,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,4,5,6,2,3]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,4,5,6,3,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,4,6,2,3,5]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,4,6,2,5,3]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,4,6,3,2,5]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,4,6,3,5,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,4,6,5,2,3]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,4,6,5,3,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,5,2,3,4,6]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,7,5,2,3,6,4]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,7,5,2,4,3,6]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,7,5,2,4,6,3]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,7,5,2,6,3,4]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,7,5,2,6,4,3]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,7,5,3,2,4,6]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,5,3,2,6,4]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,5,3,4,2,6]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,5,3,4,6,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,5,3,6,2,4]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,5,3,6,4,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,5,4,2,3,6]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,5,4,2,6,3]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,5,4,3,2,6]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,5,4,3,6,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,5,4,6,2,3]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,5,4,6,3,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,5,6,2,3,4]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,5,6,2,4,3]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,5,6,3,2,4]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,5,6,3,4,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,5,6,4,2,3]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,5,6,4,3,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,6,2,3,4,5]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,7,6,2,3,5,4]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,7,6,2,4,3,5]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,7,6,2,4,5,3]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,7,6,2,5,3,4]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,7,6,2,5,4,3]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,7,6,3,2,4,5]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,6,3,2,5,4]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,6,3,4,2,5]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,6,3,4,5,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,6,3,5,2,4]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,6,3,5,4,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,6,4,2,3,5]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,6,4,2,5,3]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,6,4,3,2,5]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,6,4,3,5,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,6,4,5,2,3]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,6,5,2,3,4]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,6,5,2,4,3]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,6,5,3,2,4]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,6,5,3,4,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,6,5,4,2,3]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7]=>[6,7,5,4,3,2,1]=>[[[[[[.,[.,.]],.],.],.],.],.]
[2,1,3,4,5,7,6]=>[2,1,3,4,5,7,6]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[2,1,3,4,6,5,7]=>[2,1,3,4,6,5,7]=>[6,7,5,4,2,3,1]=>[[[[[.,[.,.]],.],.],[.,.]],.]
[2,1,3,4,6,7,5]=>[2,1,3,4,7,6,5]=>[6,7,5,4,1,2,3]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[2,1,3,4,7,5,6]=>[2,1,3,4,7,6,5]=>[6,7,5,4,1,2,3]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[2,1,3,4,7,6,5]=>[2,1,3,4,7,6,5]=>[6,7,5,4,1,2,3]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[2,1,3,5,4,6,7]=>[2,1,3,5,4,6,7]=>[6,7,5,3,4,2,1]=>[[[[[.,[.,.]],.],[.,.]],.],.]
[2,1,3,5,4,7,6]=>[2,1,3,5,4,7,6]=>[6,7,5,3,4,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[2,1,3,5,6,4,7]=>[2,1,3,6,5,4,7]=>[6,7,5,2,3,4,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[2,1,3,5,6,7,4]=>[2,1,3,7,5,6,4]=>[6,7,5,1,3,2,4]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[2,1,3,5,7,4,6]=>[2,1,3,6,7,4,5]=>[6,7,5,2,1,4,3]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[2,1,3,5,7,6,4]=>[2,1,3,7,6,5,4]=>[6,7,5,1,2,3,4]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[2,1,3,6,4,5,7]=>[2,1,3,6,5,4,7]=>[6,7,5,2,3,4,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[2,1,3,6,4,7,5]=>[2,1,3,7,5,6,4]=>[6,7,5,1,3,2,4]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[2,1,3,6,5,4,7]=>[2,1,3,6,5,4,7]=>[6,7,5,2,3,4,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[2,1,3,6,5,7,4]=>[2,1,3,7,5,6,4]=>[6,7,5,1,3,2,4]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[2,1,3,6,7,4,5]=>[2,1,3,7,6,5,4]=>[6,7,5,1,2,3,4]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[2,1,3,6,7,5,4]=>[2,1,3,7,6,5,4]=>[6,7,5,1,2,3,4]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[2,1,3,7,4,5,6]=>[2,1,3,7,5,6,4]=>[6,7,5,1,3,2,4]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[2,1,3,7,4,6,5]=>[2,1,3,7,5,6,4]=>[6,7,5,1,3,2,4]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[2,1,3,7,5,4,6]=>[2,1,3,7,6,5,4]=>[6,7,5,1,2,3,4]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[2,1,3,7,5,6,4]=>[2,1,3,7,6,5,4]=>[6,7,5,1,2,3,4]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[2,1,3,7,6,4,5]=>[2,1,3,7,6,5,4]=>[6,7,5,1,2,3,4]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[2,1,3,7,6,5,4]=>[2,1,3,7,6,5,4]=>[6,7,5,1,2,3,4]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[2,1,4,3,5,6,7]=>[2,1,4,3,5,6,7]=>[6,7,4,5,3,2,1]=>[[[[[.,[.,.]],[.,.]],.],.],.]
[2,1,4,3,5,7,6]=>[2,1,4,3,5,7,6]=>[6,7,4,5,3,1,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[2,1,4,3,6,5,7]=>[2,1,4,3,6,5,7]=>[6,7,4,5,2,3,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[2,1,4,3,6,7,5]=>[2,1,4,3,7,6,5]=>[6,7,4,5,1,2,3]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[2,1,4,3,7,5,6]=>[2,1,4,3,7,6,5]=>[6,7,4,5,1,2,3]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[2,1,4,3,7,6,5]=>[2,1,4,3,7,6,5]=>[6,7,4,5,1,2,3]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[2,1,4,5,3,6,7]=>[2,1,5,4,3,6,7]=>[6,7,3,4,5,2,1]=>[[[[.,[.,.]],[.,[.,.]]],.],.]
[2,1,4,5,3,7,6]=>[2,1,5,4,3,7,6]=>[6,7,3,4,5,1,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[2,1,4,5,6,3,7]=>[2,1,6,4,5,3,7]=>[6,7,2,4,3,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[2,1,4,5,6,7,3]=>[2,1,7,4,5,6,3]=>[6,7,1,4,3,2,5]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[2,1,4,5,7,3,6]=>[2,1,6,4,7,3,5]=>[6,7,2,4,1,5,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[2,1,4,5,7,6,3]=>[2,1,7,4,6,5,3]=>[6,7,1,4,2,3,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[2,1,4,6,3,5,7]=>[2,1,5,6,3,4,7]=>[6,7,3,2,5,4,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[2,1,4,6,3,7,5]=>[2,1,5,7,3,6,4]=>[6,7,3,1,5,2,4]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[2,1,4,6,5,3,7]=>[2,1,6,5,4,3,7]=>[6,7,2,3,4,5,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[2,1,4,6,5,7,3]=>[2,1,7,5,4,6,3]=>[6,7,1,3,4,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[2,1,4,6,7,3,5]=>[2,1,6,7,5,3,4]=>[6,7,2,1,3,5,4]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[2,1,4,6,7,5,3]=>[2,1,7,6,5,4,3]=>[6,7,1,2,3,4,5]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,1,4,7,3,5,6]=>[2,1,5,7,3,6,4]=>[6,7,3,1,5,2,4]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[2,1,4,7,3,6,5]=>[2,1,5,7,3,6,4]=>[6,7,3,1,5,2,4]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[2,1,4,7,5,3,6]=>[2,1,6,7,5,3,4]=>[6,7,2,1,3,5,4]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[2,1,4,7,5,6,3]=>[2,1,7,6,5,4,3]=>[6,7,1,2,3,4,5]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,1,4,7,6,3,5]=>[2,1,6,7,5,3,4]=>[6,7,2,1,3,5,4]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[2,1,4,7,6,5,3]=>[2,1,7,6,5,4,3]=>[6,7,1,2,3,4,5]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,1,5,3,4,6,7]=>[2,1,5,4,3,6,7]=>[6,7,3,4,5,2,1]=>[[[[.,[.,.]],[.,[.,.]]],.],.]
[2,1,5,3,4,7,6]=>[2,1,5,4,3,7,6]=>[6,7,3,4,5,1,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[2,1,5,3,6,4,7]=>[2,1,6,4,5,3,7]=>[6,7,2,4,3,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[2,1,5,3,6,7,4]=>[2,1,7,4,5,6,3]=>[6,7,1,4,3,2,5]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[2,1,5,3,7,4,6]=>[2,1,6,4,7,3,5]=>[6,7,2,4,1,5,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[2,1,5,3,7,6,4]=>[2,1,7,4,6,5,3]=>[6,7,1,4,2,3,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[2,1,5,4,3,6,7]=>[2,1,5,4,3,6,7]=>[6,7,3,4,5,2,1]=>[[[[.,[.,.]],[.,[.,.]]],.],.]
[2,1,5,4,3,7,6]=>[2,1,5,4,3,7,6]=>[6,7,3,4,5,1,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[2,1,5,4,6,3,7]=>[2,1,6,4,5,3,7]=>[6,7,2,4,3,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[2,1,5,4,6,7,3]=>[2,1,7,4,5,6,3]=>[6,7,1,4,3,2,5]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[2,1,5,4,7,3,6]=>[2,1,6,4,7,3,5]=>[6,7,2,4,1,5,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[2,1,5,4,7,6,3]=>[2,1,7,4,6,5,3]=>[6,7,1,4,2,3,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[2,1,5,6,3,4,7]=>[2,1,6,5,4,3,7]=>[6,7,2,3,4,5,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[2,1,5,6,3,7,4]=>[2,1,7,5,4,6,3]=>[6,7,1,3,4,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[2,1,5,6,4,3,7]=>[2,1,6,5,4,3,7]=>[6,7,2,3,4,5,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[2,1,5,6,4,7,3]=>[2,1,7,5,4,6,3]=>[6,7,1,3,4,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[2,1,5,6,7,3,4]=>[2,1,7,6,5,4,3]=>[6,7,1,2,3,4,5]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,1,5,6,7,4,3]=>[2,1,7,6,5,4,3]=>[6,7,1,2,3,4,5]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,1,5,7,3,4,6]=>[2,1,6,7,5,3,4]=>[6,7,2,1,3,5,4]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[2,1,5,7,3,6,4]=>[2,1,7,6,5,4,3]=>[6,7,1,2,3,4,5]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,1,5,7,4,3,6]=>[2,1,6,7,5,3,4]=>[6,7,2,1,3,5,4]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[2,1,5,7,4,6,3]=>[2,1,7,6,5,4,3]=>[6,7,1,2,3,4,5]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,1,5,7,6,3,4]=>[2,1,7,6,5,4,3]=>[6,7,1,2,3,4,5]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,1,5,7,6,4,3]=>[2,1,7,6,5,4,3]=>[6,7,1,2,3,4,5]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,1,6,3,4,5,7]=>[2,1,6,4,5,3,7]=>[6,7,2,4,3,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[2,1,6,3,4,7,5]=>[2,1,7,4,5,6,3]=>[6,7,1,4,3,2,5]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[2,1,6,3,5,4,7]=>[2,1,6,4,5,3,7]=>[6,7,2,4,3,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[2,1,6,3,5,7,4]=>[2,1,7,4,5,6,3]=>[6,7,1,4,3,2,5]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[2,1,6,3,7,4,5]=>[2,1,7,4,6,5,3]=>[6,7,1,4,2,3,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[2,1,6,3,7,5,4]=>[2,1,7,4,6,5,3]=>[6,7,1,4,2,3,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[2,1,6,4,3,5,7]=>[2,1,6,5,4,3,7]=>[6,7,2,3,4,5,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[2,1,6,4,3,7,5]=>[2,1,7,5,4,6,3]=>[6,7,1,3,4,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[2,1,6,4,5,3,7]=>[2,1,6,5,4,3,7]=>[6,7,2,3,4,5,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[2,1,6,4,5,7,3]=>[2,1,7,5,4,6,3]=>[6,7,1,3,4,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[2,1,6,4,7,3,5]=>[2,1,7,6,5,4,3]=>[6,7,1,2,3,4,5]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,1,6,4,7,5,3]=>[2,1,7,6,5,4,3]=>[6,7,1,2,3,4,5]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,1,6,5,3,4,7]=>[2,1,6,5,4,3,7]=>[6,7,2,3,4,5,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[2,1,6,5,3,7,4]=>[2,1,7,5,4,6,3]=>[6,7,1,3,4,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[2,1,6,5,4,3,7]=>[2,1,6,5,4,3,7]=>[6,7,2,3,4,5,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[2,1,6,5,4,7,3]=>[2,1,7,5,4,6,3]=>[6,7,1,3,4,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[2,1,6,5,7,3,4]=>[2,1,7,6,5,4,3]=>[6,7,1,2,3,4,5]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,1,6,5,7,4,3]=>[2,1,7,6,5,4,3]=>[6,7,1,2,3,4,5]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,1,6,7,3,4,5]=>[2,1,7,6,5,4,3]=>[6,7,1,2,3,4,5]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,1,6,7,3,5,4]=>[2,1,7,6,5,4,3]=>[6,7,1,2,3,4,5]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,1,6,7,4,3,5]=>[2,1,7,6,5,4,3]=>[6,7,1,2,3,4,5]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,1,6,7,4,5,3]=>[2,1,7,6,5,4,3]=>[6,7,1,2,3,4,5]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,1,6,7,5,3,4]=>[2,1,7,6,5,4,3]=>[6,7,1,2,3,4,5]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,1,6,7,5,4,3]=>[2,1,7,6,5,4,3]=>[6,7,1,2,3,4,5]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,1,7,3,4,5,6]=>[2,1,7,4,5,6,3]=>[6,7,1,4,3,2,5]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[2,1,7,3,4,6,5]=>[2,1,7,4,5,6,3]=>[6,7,1,4,3,2,5]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[2,1,7,3,5,4,6]=>[2,1,7,4,6,5,3]=>[6,7,1,4,2,3,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[2,1,7,3,5,6,4]=>[2,1,7,4,6,5,3]=>[6,7,1,4,2,3,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[2,1,7,3,6,4,5]=>[2,1,7,4,6,5,3]=>[6,7,1,4,2,3,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[2,1,7,3,6,5,4]=>[2,1,7,4,6,5,3]=>[6,7,1,4,2,3,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[2,1,7,4,3,5,6]=>[2,1,7,5,4,6,3]=>[6,7,1,3,4,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[2,1,7,4,3,6,5]=>[2,1,7,5,4,6,3]=>[6,7,1,3,4,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[2,1,7,4,5,3,6]=>[2,1,7,6,5,4,3]=>[6,7,1,2,3,4,5]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,1,7,4,5,6,3]=>[2,1,7,6,5,4,3]=>[6,7,1,2,3,4,5]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,1,7,4,6,3,5]=>[2,1,7,6,5,4,3]=>[6,7,1,2,3,4,5]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,1,7,4,6,5,3]=>[2,1,7,6,5,4,3]=>[6,7,1,2,3,4,5]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,1,7,5,3,4,6]=>[2,1,7,6,5,4,3]=>[6,7,1,2,3,4,5]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,1,7,5,3,6,4]=>[2,1,7,6,5,4,3]=>[6,7,1,2,3,4,5]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,1,7,5,4,3,6]=>[2,1,7,6,5,4,3]=>[6,7,1,2,3,4,5]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,1,7,5,4,6,3]=>[2,1,7,6,5,4,3]=>[6,7,1,2,3,4,5]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,1,7,5,6,3,4]=>[2,1,7,6,5,4,3]=>[6,7,1,2,3,4,5]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,1,7,5,6,4,3]=>[2,1,7,6,5,4,3]=>[6,7,1,2,3,4,5]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,1,7,6,3,4,5]=>[2,1,7,6,5,4,3]=>[6,7,1,2,3,4,5]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,1,7,6,3,5,4]=>[2,1,7,6,5,4,3]=>[6,7,1,2,3,4,5]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,1,7,6,4,3,5]=>[2,1,7,6,5,4,3]=>[6,7,1,2,3,4,5]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,1,7,6,4,5,3]=>[2,1,7,6,5,4,3]=>[6,7,1,2,3,4,5]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,1,7,6,5,3,4]=>[2,1,7,6,5,4,3]=>[6,7,1,2,3,4,5]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[6,7,1,2,3,4,5]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,3,1,4,5,6,7]=>[3,2,1,4,5,6,7]=>[5,6,7,4,3,2,1]=>[[[[[.,[.,[.,.]]],.],.],.],.]
[2,3,1,4,5,7,6]=>[3,2,1,4,5,7,6]=>[5,6,7,4,3,1,2]=>[[[[.,[.,[.,.]]],.],.],[.,.]]
[2,3,1,4,6,5,7]=>[3,2,1,4,6,5,7]=>[5,6,7,4,2,3,1]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
[2,3,1,4,6,7,5]=>[3,2,1,4,7,6,5]=>[5,6,7,4,1,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[2,3,1,4,7,5,6]=>[3,2,1,4,7,6,5]=>[5,6,7,4,1,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[2,3,1,4,7,6,5]=>[3,2,1,4,7,6,5]=>[5,6,7,4,1,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[2,3,1,5,4,6,7]=>[3,2,1,5,4,6,7]=>[5,6,7,3,4,2,1]=>[[[[.,[.,[.,.]]],[.,.]],.],.]
[2,3,1,5,4,7,6]=>[3,2,1,5,4,7,6]=>[5,6,7,3,4,1,2]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[2,3,1,5,6,4,7]=>[3,2,1,6,5,4,7]=>[5,6,7,2,3,4,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[2,3,1,5,6,7,4]=>[3,2,1,7,5,6,4]=>[5,6,7,1,3,2,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[2,3,1,5,7,4,6]=>[3,2,1,6,7,4,5]=>[5,6,7,2,1,4,3]=>[[[.,[.,[.,.]]],.],[[.,.],.]]
[2,3,1,5,7,6,4]=>[3,2,1,7,6,5,4]=>[5,6,7,1,2,3,4]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[2,3,1,6,4,5,7]=>[3,2,1,6,5,4,7]=>[5,6,7,2,3,4,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[2,3,1,6,4,7,5]=>[3,2,1,7,5,6,4]=>[5,6,7,1,3,2,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[2,3,1,6,5,4,7]=>[3,2,1,6,5,4,7]=>[5,6,7,2,3,4,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[2,3,1,6,5,7,4]=>[3,2,1,7,5,6,4]=>[5,6,7,1,3,2,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[2,3,1,6,7,4,5]=>[3,2,1,7,6,5,4]=>[5,6,7,1,2,3,4]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[2,3,1,6,7,5,4]=>[3,2,1,7,6,5,4]=>[5,6,7,1,2,3,4]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[2,3,1,7,4,5,6]=>[3,2,1,7,5,6,4]=>[5,6,7,1,3,2,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[2,3,1,7,4,6,5]=>[3,2,1,7,5,6,4]=>[5,6,7,1,3,2,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[2,3,1,7,5,4,6]=>[3,2,1,7,6,5,4]=>[5,6,7,1,2,3,4]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[2,3,1,7,5,6,4]=>[3,2,1,7,6,5,4]=>[5,6,7,1,2,3,4]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[2,3,1,7,6,4,5]=>[3,2,1,7,6,5,4]=>[5,6,7,1,2,3,4]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[2,3,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[5,6,7,1,2,3,4]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[2,3,4,1,5,6,7]=>[4,2,3,1,5,6,7]=>[4,6,5,7,3,2,1]=>[[[[.,[[.,.],[.,.]]],.],.],.]
[2,3,4,1,5,7,6]=>[4,2,3,1,5,7,6]=>[4,6,5,7,3,1,2]=>[[[.,[[.,.],[.,.]]],.],[.,.]]
[2,3,4,1,6,5,7]=>[4,2,3,1,6,5,7]=>[4,6,5,7,2,3,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[2,3,4,1,6,7,5]=>[4,2,3,1,7,6,5]=>[4,6,5,7,1,2,3]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[2,3,4,1,7,5,6]=>[4,2,3,1,7,6,5]=>[4,6,5,7,1,2,3]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[2,3,4,1,7,6,5]=>[4,2,3,1,7,6,5]=>[4,6,5,7,1,2,3]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[2,3,4,5,1,6,7]=>[5,2,3,4,1,6,7]=>[3,6,5,4,7,2,1]=>[[[.,[[[.,.],.],[.,.]]],.],.]
[2,3,4,5,1,7,6]=>[5,2,3,4,1,7,6]=>[3,6,5,4,7,1,2]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[2,3,4,5,6,1,7]=>[6,2,3,4,5,1,7]=>[2,6,5,4,3,7,1]=>[[.,[[[[.,.],.],.],[.,.]]],.]
[2,3,4,5,6,7,1]=>[7,2,3,4,5,6,1]=>[1,6,5,4,3,2,7]=>[.,[[[[[.,.],.],.],.],[.,.]]]
[2,3,4,5,7,1,6]=>[6,2,3,4,7,1,5]=>[2,6,5,4,1,7,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,3,4,5,7,6,1]=>[7,2,3,4,6,5,1]=>[1,6,5,4,2,3,7]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[2,3,4,6,1,5,7]=>[5,2,3,6,1,4,7]=>[3,6,5,2,7,4,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[2,3,4,6,1,7,5]=>[5,2,3,7,1,6,4]=>[3,6,5,1,7,2,4]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[2,3,4,6,5,1,7]=>[6,2,3,5,4,1,7]=>[2,6,5,3,4,7,1]=>[[.,[[[.,.],.],[.,[.,.]]]],.]
[2,3,4,6,5,7,1]=>[7,2,3,5,4,6,1]=>[1,6,5,3,4,2,7]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[2,3,4,6,7,1,5]=>[6,2,3,7,5,1,4]=>[2,6,5,1,3,7,4]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[2,3,4,6,7,5,1]=>[7,2,3,6,5,4,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[2,3,4,7,1,5,6]=>[5,2,3,7,1,6,4]=>[3,6,5,1,7,2,4]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[2,3,4,7,1,6,5]=>[5,2,3,7,1,6,4]=>[3,6,5,1,7,2,4]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[2,3,4,7,5,1,6]=>[6,2,3,7,5,1,4]=>[2,6,5,1,3,7,4]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[2,3,4,7,5,6,1]=>[7,2,3,6,5,4,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[2,3,4,7,6,1,5]=>[6,2,3,7,5,1,4]=>[2,6,5,1,3,7,4]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[2,3,4,7,6,5,1]=>[7,2,3,6,5,4,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[2,3,5,1,4,6,7]=>[4,2,5,1,3,6,7]=>[4,6,3,7,5,2,1]=>[[[[.,[.,.]],[[.,.],.]],.],.]
[2,3,5,1,4,7,6]=>[4,2,5,1,3,7,6]=>[4,6,3,7,5,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[2,3,5,1,6,4,7]=>[4,2,6,1,5,3,7]=>[4,6,2,7,3,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[2,3,5,1,6,7,4]=>[4,2,7,1,5,6,3]=>[4,6,1,7,3,2,5]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[2,3,5,1,7,4,6]=>[4,2,6,1,7,3,5]=>[4,6,2,7,1,5,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[2,3,5,1,7,6,4]=>[4,2,7,1,6,5,3]=>[4,6,1,7,2,3,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[2,3,5,4,1,6,7]=>[5,2,4,3,1,6,7]=>[3,6,4,5,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[2,3,5,4,1,7,6]=>[5,2,4,3,1,7,6]=>[3,6,4,5,7,1,2]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[2,3,5,4,6,1,7]=>[6,2,4,3,5,1,7]=>[2,6,4,5,3,7,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[2,3,5,4,6,7,1]=>[7,2,4,3,5,6,1]=>[1,6,4,5,3,2,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[2,3,5,4,7,1,6]=>[6,2,4,3,7,1,5]=>[2,6,4,5,1,7,3]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[2,3,5,4,7,6,1]=>[7,2,4,3,6,5,1]=>[1,6,4,5,2,3,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[2,3,5,6,1,4,7]=>[5,2,6,4,1,3,7]=>[3,6,2,4,7,5,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[2,3,5,6,1,7,4]=>[5,2,7,4,1,6,3]=>[3,6,1,4,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[2,3,5,6,4,1,7]=>[6,2,5,4,3,1,7]=>[2,6,3,4,5,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[2,3,5,6,4,7,1]=>[7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[2,3,5,6,7,1,4]=>[6,2,7,4,5,1,3]=>[2,6,1,4,3,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[2,3,5,6,7,4,1]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[2,3,5,7,1,4,6]=>[5,2,6,7,1,3,4]=>[3,6,2,1,7,5,4]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[2,3,5,7,1,6,4]=>[5,2,7,6,1,4,3]=>[3,6,1,2,7,4,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[2,3,5,7,4,1,6]=>[6,2,5,7,3,1,4]=>[2,6,3,1,5,7,4]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[2,3,5,7,4,6,1]=>[7,2,5,6,3,4,1]=>[1,6,3,2,5,4,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[2,3,5,7,6,1,4]=>[6,2,7,5,4,1,3]=>[2,6,1,3,4,7,5]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[2,3,5,7,6,4,1]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[2,3,6,1,4,5,7]=>[4,2,6,1,5,3,7]=>[4,6,2,7,3,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[2,3,6,1,4,7,5]=>[4,2,7,1,5,6,3]=>[4,6,1,7,3,2,5]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[2,3,6,1,5,4,7]=>[4,2,6,1,5,3,7]=>[4,6,2,7,3,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[2,3,6,1,5,7,4]=>[4,2,7,1,5,6,3]=>[4,6,1,7,3,2,5]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[2,3,6,1,7,4,5]=>[4,2,7,1,6,5,3]=>[4,6,1,7,2,3,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[2,3,6,1,7,5,4]=>[4,2,7,1,6,5,3]=>[4,6,1,7,2,3,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[2,3,6,4,1,5,7]=>[5,2,6,4,1,3,7]=>[3,6,2,4,7,5,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[2,3,6,4,1,7,5]=>[5,2,7,4,1,6,3]=>[3,6,1,4,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[2,3,6,4,5,1,7]=>[6,2,5,4,3,1,7]=>[2,6,3,4,5,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[2,3,6,4,5,7,1]=>[7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[2,3,6,4,7,1,5]=>[6,2,7,4,5,1,3]=>[2,6,1,4,3,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[2,3,6,4,7,5,1]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[2,3,6,5,1,4,7]=>[5,2,6,4,1,3,7]=>[3,6,2,4,7,5,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[2,3,6,5,1,7,4]=>[5,2,7,4,1,6,3]=>[3,6,1,4,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[2,3,6,5,4,1,7]=>[6,2,5,4,3,1,7]=>[2,6,3,4,5,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[2,3,6,5,4,7,1]=>[7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[2,3,6,5,7,1,4]=>[6,2,7,4,5,1,3]=>[2,6,1,4,3,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[2,3,6,5,7,4,1]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[2,3,6,7,1,4,5]=>[5,2,7,6,1,4,3]=>[3,6,1,2,7,4,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[2,3,6,7,1,5,4]=>[5,2,7,6,1,4,3]=>[3,6,1,2,7,4,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[2,3,6,7,4,1,5]=>[6,2,7,5,4,1,3]=>[2,6,1,3,4,7,5]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[2,3,6,7,4,5,1]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[2,3,6,7,5,1,4]=>[6,2,7,5,4,1,3]=>[2,6,1,3,4,7,5]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[2,3,6,7,5,4,1]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[2,3,7,1,4,5,6]=>[4,2,7,1,5,6,3]=>[4,6,1,7,3,2,5]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[2,3,7,1,4,6,5]=>[4,2,7,1,5,6,3]=>[4,6,1,7,3,2,5]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[2,3,7,1,5,4,6]=>[4,2,7,1,6,5,3]=>[4,6,1,7,2,3,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[2,3,7,1,5,6,4]=>[4,2,7,1,6,5,3]=>[4,6,1,7,2,3,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[2,3,7,1,6,4,5]=>[4,2,7,1,6,5,3]=>[4,6,1,7,2,3,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[2,3,7,1,6,5,4]=>[4,2,7,1,6,5,3]=>[4,6,1,7,2,3,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[2,3,7,4,1,5,6]=>[5,2,7,4,1,6,3]=>[3,6,1,4,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[2,3,7,4,1,6,5]=>[5,2,7,4,1,6,3]=>[3,6,1,4,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[2,3,7,4,5,1,6]=>[6,2,7,4,5,1,3]=>[2,6,1,4,3,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[2,3,7,4,5,6,1]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[2,3,7,4,6,1,5]=>[6,2,7,4,5,1,3]=>[2,6,1,4,3,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[2,3,7,4,6,5,1]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[2,3,7,5,1,4,6]=>[5,2,7,6,1,4,3]=>[3,6,1,2,7,4,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[2,3,7,5,1,6,4]=>[5,2,7,6,1,4,3]=>[3,6,1,2,7,4,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[2,3,7,5,4,1,6]=>[6,2,7,5,4,1,3]=>[2,6,1,3,4,7,5]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[2,3,7,5,4,6,1]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[2,3,7,5,6,1,4]=>[6,2,7,5,4,1,3]=>[2,6,1,3,4,7,5]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[2,3,7,5,6,4,1]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[2,3,7,6,1,4,5]=>[5,2,7,6,1,4,3]=>[3,6,1,2,7,4,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[2,3,7,6,1,5,4]=>[5,2,7,6,1,4,3]=>[3,6,1,2,7,4,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[2,3,7,6,4,1,5]=>[6,2,7,5,4,1,3]=>[2,6,1,3,4,7,5]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[2,3,7,6,4,5,1]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[2,3,7,6,5,1,4]=>[6,2,7,5,4,1,3]=>[2,6,1,3,4,7,5]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[2,3,7,6,5,4,1]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[2,4,1,3,5,6,7]=>[3,4,1,2,5,6,7]=>[5,4,7,6,3,2,1]=>[[[[[.,.],[[.,.],.]],.],.],.]
[2,4,1,3,5,7,6]=>[3,4,1,2,5,7,6]=>[5,4,7,6,3,1,2]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[2,4,1,3,6,5,7]=>[3,4,1,2,6,5,7]=>[5,4,7,6,2,3,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[2,4,1,3,6,7,5]=>[3,4,1,2,7,6,5]=>[5,4,7,6,1,2,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[2,4,1,3,7,5,6]=>[3,4,1,2,7,6,5]=>[5,4,7,6,1,2,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[2,4,1,3,7,6,5]=>[3,4,1,2,7,6,5]=>[5,4,7,6,1,2,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[2,4,1,5,3,6,7]=>[3,5,1,4,2,6,7]=>[5,3,7,4,6,2,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]
[2,4,1,5,3,7,6]=>[3,5,1,4,2,7,6]=>[5,3,7,4,6,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[2,4,1,5,6,3,7]=>[3,6,1,4,5,2,7]=>[5,2,7,4,3,6,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[2,4,1,5,6,7,3]=>[3,7,1,4,5,6,2]=>[5,1,7,4,3,2,6]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[2,4,1,5,7,3,6]=>[3,6,1,4,7,2,5]=>[5,2,7,4,1,6,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[2,4,1,5,7,6,3]=>[3,7,1,4,6,5,2]=>[5,1,7,4,2,3,6]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[2,4,1,6,3,5,7]=>[3,5,1,6,2,4,7]=>[5,3,7,2,6,4,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[2,4,1,6,3,7,5]=>[3,5,1,7,2,6,4]=>[5,3,7,1,6,2,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,4,1,6,5,3,7]=>[3,6,1,5,4,2,7]=>[5,2,7,3,4,6,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[2,4,1,6,5,7,3]=>[3,7,1,5,4,6,2]=>[5,1,7,3,4,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,4,1,6,7,3,5]=>[3,6,1,7,5,2,4]=>[5,2,7,1,3,6,4]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[2,4,1,6,7,5,3]=>[3,7,1,6,5,4,2]=>[5,1,7,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,4,1,7,3,5,6]=>[3,5,1,7,2,6,4]=>[5,3,7,1,6,2,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,4,1,7,3,6,5]=>[3,5,1,7,2,6,4]=>[5,3,7,1,6,2,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,4,1,7,5,3,6]=>[3,6,1,7,5,2,4]=>[5,2,7,1,3,6,4]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[2,4,1,7,5,6,3]=>[3,7,1,6,5,4,2]=>[5,1,7,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,4,1,7,6,3,5]=>[3,6,1,7,5,2,4]=>[5,2,7,1,3,6,4]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[2,4,1,7,6,5,3]=>[3,7,1,6,5,4,2]=>[5,1,7,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,4,3,1,5,6,7]=>[4,3,2,1,5,6,7]=>[4,5,6,7,3,2,1]=>[[[[.,[.,[.,[.,.]]]],.],.],.]
[2,4,3,1,5,7,6]=>[4,3,2,1,5,7,6]=>[4,5,6,7,3,1,2]=>[[[.,[.,[.,[.,.]]]],.],[.,.]]
[2,4,3,1,6,5,7]=>[4,3,2,1,6,5,7]=>[4,5,6,7,2,3,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[2,4,3,1,6,7,5]=>[4,3,2,1,7,6,5]=>[4,5,6,7,1,2,3]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[2,4,3,1,7,5,6]=>[4,3,2,1,7,6,5]=>[4,5,6,7,1,2,3]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[2,4,3,1,7,6,5]=>[4,3,2,1,7,6,5]=>[4,5,6,7,1,2,3]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[2,4,3,5,1,6,7]=>[5,3,2,4,1,6,7]=>[3,5,6,4,7,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[2,4,3,5,1,7,6]=>[5,3,2,4,1,7,6]=>[3,5,6,4,7,1,2]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[2,4,3,5,6,1,7]=>[6,3,2,4,5,1,7]=>[2,5,6,4,3,7,1]=>[[.,[[[.,[.,.]],.],[.,.]]],.]
[2,4,3,5,6,7,1]=>[7,3,2,4,5,6,1]=>[1,5,6,4,3,2,7]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[2,4,3,5,7,1,6]=>[6,3,2,4,7,1,5]=>[2,5,6,4,1,7,3]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[2,4,3,5,7,6,1]=>[7,3,2,4,6,5,1]=>[1,5,6,4,2,3,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[2,4,3,6,1,5,7]=>[5,3,2,6,1,4,7]=>[3,5,6,2,7,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[2,4,3,6,1,7,5]=>[5,3,2,7,1,6,4]=>[3,5,6,1,7,2,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[2,4,3,6,5,1,7]=>[6,3,2,5,4,1,7]=>[2,5,6,3,4,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[2,4,3,6,5,7,1]=>[7,3,2,5,4,6,1]=>[1,5,6,3,4,2,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[2,4,3,6,7,1,5]=>[6,3,2,7,5,1,4]=>[2,5,6,1,3,7,4]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[2,4,3,6,7,5,1]=>[7,3,2,6,5,4,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[2,4,3,7,1,5,6]=>[5,3,2,7,1,6,4]=>[3,5,6,1,7,2,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[2,4,3,7,1,6,5]=>[5,3,2,7,1,6,4]=>[3,5,6,1,7,2,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[2,4,3,7,5,1,6]=>[6,3,2,7,5,1,4]=>[2,5,6,1,3,7,4]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[2,4,3,7,5,6,1]=>[7,3,2,6,5,4,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[2,4,3,7,6,1,5]=>[6,3,2,7,5,1,4]=>[2,5,6,1,3,7,4]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[2,4,3,7,6,5,1]=>[7,3,2,6,5,4,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[2,4,5,1,3,6,7]=>[4,5,3,1,2,6,7]=>[4,3,5,7,6,2,1]=>[[[[.,.],[.,[[.,.],.]]],.],.]
[2,4,5,1,3,7,6]=>[4,5,3,1,2,7,6]=>[4,3,5,7,6,1,2]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[2,4,5,1,6,3,7]=>[4,6,3,1,5,2,7]=>[4,2,5,7,3,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[2,4,5,1,6,7,3]=>[4,7,3,1,5,6,2]=>[4,1,5,7,3,2,6]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[2,4,5,1,7,3,6]=>[4,6,3,1,7,2,5]=>[4,2,5,7,1,6,3]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[2,4,5,1,7,6,3]=>[4,7,3,1,6,5,2]=>[4,1,5,7,2,3,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[2,4,5,3,1,6,7]=>[5,4,3,2,1,6,7]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[2,4,5,3,1,7,6]=>[5,4,3,2,1,7,6]=>[3,4,5,6,7,1,2]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[2,4,5,3,6,1,7]=>[6,4,3,2,5,1,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[2,4,5,3,6,7,1]=>[7,4,3,2,5,6,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[2,4,5,3,7,1,6]=>[6,4,3,2,7,1,5]=>[2,4,5,6,1,7,3]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[2,4,5,3,7,6,1]=>[7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[2,4,5,6,1,3,7]=>[5,6,3,4,1,2,7]=>[3,2,5,4,7,6,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[2,4,5,6,1,7,3]=>[5,7,3,4,1,6,2]=>[3,1,5,4,7,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,4,5,6,3,1,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[2,4,5,6,3,7,1]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[2,4,5,6,7,1,3]=>[6,7,3,4,5,1,2]=>[2,1,5,4,3,7,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[2,4,5,6,7,3,1]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[2,4,5,7,1,3,6]=>[5,6,3,7,1,2,4]=>[3,2,5,1,7,6,4]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[2,4,5,7,1,6,3]=>[5,7,3,6,1,4,2]=>[3,1,5,2,7,4,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[2,4,5,7,3,1,6]=>[6,5,3,7,2,1,4]=>[2,3,5,1,6,7,4]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[2,4,5,7,3,6,1]=>[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[2,4,5,7,6,1,3]=>[6,7,3,5,4,1,2]=>[2,1,5,3,4,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[2,4,5,7,6,3,1]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[2,4,6,1,3,5,7]=>[4,5,6,1,2,3,7]=>[4,3,2,7,6,5,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[2,4,6,1,3,7,5]=>[4,5,7,1,2,6,3]=>[4,3,1,7,6,2,5]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[2,4,6,1,5,3,7]=>[4,6,5,1,3,2,7]=>[4,2,3,7,5,6,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[2,4,6,1,5,7,3]=>[4,7,5,1,3,6,2]=>[4,1,3,7,5,2,6]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[2,4,6,1,7,3,5]=>[4,6,7,1,5,2,3]=>[4,2,1,7,3,6,5]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[2,4,6,1,7,5,3]=>[4,7,6,1,5,3,2]=>[4,1,2,7,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[2,4,6,3,1,5,7]=>[5,4,6,2,1,3,7]=>[3,4,2,6,7,5,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[2,4,6,3,1,7,5]=>[5,4,7,2,1,6,3]=>[3,4,1,6,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[2,4,6,3,5,1,7]=>[6,4,5,2,3,1,7]=>[2,4,3,6,5,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[2,4,6,3,5,7,1]=>[7,4,5,2,3,6,1]=>[1,4,3,6,5,2,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[2,4,6,3,7,1,5]=>[6,4,7,2,5,1,3]=>[2,4,1,6,3,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[2,4,6,3,7,5,1]=>[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[2,4,6,5,1,3,7]=>[5,6,4,3,1,2,7]=>[3,2,4,5,7,6,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[2,4,6,5,1,7,3]=>[5,7,4,3,1,6,2]=>[3,1,4,5,7,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[2,4,6,5,3,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[2,4,6,5,3,7,1]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[2,4,6,5,7,1,3]=>[6,7,4,3,5,1,2]=>[2,1,4,5,3,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[2,4,6,5,7,3,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[2,4,6,7,1,3,5]=>[5,6,7,4,1,2,3]=>[3,2,1,4,7,6,5]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[2,4,6,7,1,5,3]=>[5,7,6,4,1,3,2]=>[3,1,2,4,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[2,4,6,7,3,1,5]=>[6,5,7,4,2,1,3]=>[2,3,1,4,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[2,4,6,7,3,5,1]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[2,4,6,7,5,1,3]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[2,4,6,7,5,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,4,7,1,3,5,6]=>[4,5,7,1,2,6,3]=>[4,3,1,7,6,2,5]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[2,4,7,1,3,6,5]=>[4,5,7,1,2,6,3]=>[4,3,1,7,6,2,5]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[2,4,7,1,5,3,6]=>[4,6,7,1,5,2,3]=>[4,2,1,7,3,6,5]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[2,4,7,1,5,6,3]=>[4,7,6,1,5,3,2]=>[4,1,2,7,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[2,4,7,1,6,3,5]=>[4,6,7,1,5,2,3]=>[4,2,1,7,3,6,5]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[2,4,7,1,6,5,3]=>[4,7,6,1,5,3,2]=>[4,1,2,7,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[2,4,7,3,1,5,6]=>[5,4,7,2,1,6,3]=>[3,4,1,6,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[2,4,7,3,1,6,5]=>[5,4,7,2,1,6,3]=>[3,4,1,6,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[2,4,7,3,5,1,6]=>[6,4,7,2,5,1,3]=>[2,4,1,6,3,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[2,4,7,3,5,6,1]=>[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[2,4,7,3,6,1,5]=>[6,4,7,2,5,1,3]=>[2,4,1,6,3,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[2,4,7,3,6,5,1]=>[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[2,4,7,5,1,3,6]=>[5,6,7,4,1,2,3]=>[3,2,1,4,7,6,5]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[2,4,7,5,1,6,3]=>[5,7,6,4,1,3,2]=>[3,1,2,4,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[2,4,7,5,3,1,6]=>[6,5,7,4,2,1,3]=>[2,3,1,4,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[2,4,7,5,3,6,1]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[2,4,7,5,6,1,3]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[2,4,7,5,6,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,4,7,6,1,3,5]=>[5,6,7,4,1,2,3]=>[3,2,1,4,7,6,5]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[2,4,7,6,1,5,3]=>[5,7,6,4,1,3,2]=>[3,1,2,4,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[2,4,7,6,3,1,5]=>[6,5,7,4,2,1,3]=>[2,3,1,4,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[2,4,7,6,3,5,1]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[2,4,7,6,5,1,3]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[2,4,7,6,5,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,5,1,3,4,6,7]=>[3,5,1,4,2,6,7]=>[5,3,7,4,6,2,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]
[2,5,1,3,4,7,6]=>[3,5,1,4,2,7,6]=>[5,3,7,4,6,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[2,5,1,3,6,4,7]=>[3,6,1,4,5,2,7]=>[5,2,7,4,3,6,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[2,5,1,3,6,7,4]=>[3,7,1,4,5,6,2]=>[5,1,7,4,3,2,6]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[2,5,1,3,7,4,6]=>[3,6,1,4,7,2,5]=>[5,2,7,4,1,6,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[2,5,1,3,7,6,4]=>[3,7,1,4,6,5,2]=>[5,1,7,4,2,3,6]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[2,5,1,4,3,6,7]=>[3,5,1,4,2,6,7]=>[5,3,7,4,6,2,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]
[2,5,1,4,3,7,6]=>[3,5,1,4,2,7,6]=>[5,3,7,4,6,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[2,5,1,4,6,3,7]=>[3,6,1,4,5,2,7]=>[5,2,7,4,3,6,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[2,5,1,4,6,7,3]=>[3,7,1,4,5,6,2]=>[5,1,7,4,3,2,6]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[2,5,1,4,7,3,6]=>[3,6,1,4,7,2,5]=>[5,2,7,4,1,6,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[2,5,1,4,7,6,3]=>[3,7,1,4,6,5,2]=>[5,1,7,4,2,3,6]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[2,5,1,6,3,4,7]=>[3,6,1,5,4,2,7]=>[5,2,7,3,4,6,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[2,5,1,6,3,7,4]=>[3,7,1,5,4,6,2]=>[5,1,7,3,4,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,5,1,6,4,3,7]=>[3,6,1,5,4,2,7]=>[5,2,7,3,4,6,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[2,5,1,6,4,7,3]=>[3,7,1,5,4,6,2]=>[5,1,7,3,4,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,5,1,6,7,3,4]=>[3,7,1,6,5,4,2]=>[5,1,7,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,5,1,6,7,4,3]=>[3,7,1,6,5,4,2]=>[5,1,7,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,5,1,7,3,4,6]=>[3,6,1,7,5,2,4]=>[5,2,7,1,3,6,4]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[2,5,1,7,3,6,4]=>[3,7,1,6,5,4,2]=>[5,1,7,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,5,1,7,4,3,6]=>[3,6,1,7,5,2,4]=>[5,2,7,1,3,6,4]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[2,5,1,7,4,6,3]=>[3,7,1,6,5,4,2]=>[5,1,7,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,5,1,7,6,3,4]=>[3,7,1,6,5,4,2]=>[5,1,7,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,5,1,7,6,4,3]=>[3,7,1,6,5,4,2]=>[5,1,7,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,5,3,1,4,6,7]=>[4,5,3,1,2,6,7]=>[4,3,5,7,6,2,1]=>[[[[.,.],[.,[[.,.],.]]],.],.]
[2,5,3,1,4,7,6]=>[4,5,3,1,2,7,6]=>[4,3,5,7,6,1,2]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[2,5,3,1,6,4,7]=>[4,6,3,1,5,2,7]=>[4,2,5,7,3,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[2,5,3,1,6,7,4]=>[4,7,3,1,5,6,2]=>[4,1,5,7,3,2,6]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[2,5,3,1,7,4,6]=>[4,6,3,1,7,2,5]=>[4,2,5,7,1,6,3]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[2,5,3,1,7,6,4]=>[4,7,3,1,6,5,2]=>[4,1,5,7,2,3,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[2,5,3,4,1,6,7]=>[5,4,3,2,1,6,7]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[2,5,3,4,1,7,6]=>[5,4,3,2,1,7,6]=>[3,4,5,6,7,1,2]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[2,5,3,4,6,1,7]=>[6,4,3,2,5,1,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[2,5,3,4,6,7,1]=>[7,4,3,2,5,6,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[2,5,3,4,7,1,6]=>[6,4,3,2,7,1,5]=>[2,4,5,6,1,7,3]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[2,5,3,4,7,6,1]=>[7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[2,5,3,6,1,4,7]=>[5,6,3,4,1,2,7]=>[3,2,5,4,7,6,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[2,5,3,6,1,7,4]=>[5,7,3,4,1,6,2]=>[3,1,5,4,7,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,5,3,6,4,1,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[2,5,3,6,4,7,1]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[2,5,3,6,7,1,4]=>[6,7,3,4,5,1,2]=>[2,1,5,4,3,7,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[2,5,3,6,7,4,1]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[2,5,3,7,1,4,6]=>[5,6,3,7,1,2,4]=>[3,2,5,1,7,6,4]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[2,5,3,7,1,6,4]=>[5,7,3,6,1,4,2]=>[3,1,5,2,7,4,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[2,5,3,7,4,1,6]=>[6,5,3,7,2,1,4]=>[2,3,5,1,6,7,4]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[2,5,3,7,4,6,1]=>[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[2,5,3,7,6,1,4]=>[6,7,3,5,4,1,2]=>[2,1,5,3,4,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[2,5,3,7,6,4,1]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[2,5,4,1,3,6,7]=>[4,5,3,1,2,6,7]=>[4,3,5,7,6,2,1]=>[[[[.,.],[.,[[.,.],.]]],.],.]
[2,5,4,1,3,7,6]=>[4,5,3,1,2,7,6]=>[4,3,5,7,6,1,2]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[2,5,4,1,6,3,7]=>[4,6,3,1,5,2,7]=>[4,2,5,7,3,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[2,5,4,1,6,7,3]=>[4,7,3,1,5,6,2]=>[4,1,5,7,3,2,6]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[2,5,4,1,7,3,6]=>[4,6,3,1,7,2,5]=>[4,2,5,7,1,6,3]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[2,5,4,1,7,6,3]=>[4,7,3,1,6,5,2]=>[4,1,5,7,2,3,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[2,5,4,3,1,6,7]=>[5,4,3,2,1,6,7]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[2,5,4,3,1,7,6]=>[5,4,3,2,1,7,6]=>[3,4,5,6,7,1,2]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[2,5,4,3,6,1,7]=>[6,4,3,2,5,1,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[2,5,4,3,6,7,1]=>[7,4,3,2,5,6,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[2,5,4,3,7,1,6]=>[6,4,3,2,7,1,5]=>[2,4,5,6,1,7,3]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[2,5,4,3,7,6,1]=>[7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[2,5,4,6,1,3,7]=>[5,6,3,4,1,2,7]=>[3,2,5,4,7,6,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[2,5,4,6,1,7,3]=>[5,7,3,4,1,6,2]=>[3,1,5,4,7,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,5,4,6,3,1,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[2,5,4,6,3,7,1]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[2,5,4,6,7,1,3]=>[6,7,3,4,5,1,2]=>[2,1,5,4,3,7,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[2,5,4,6,7,3,1]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[2,5,4,7,1,3,6]=>[5,6,3,7,1,2,4]=>[3,2,5,1,7,6,4]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[2,5,4,7,1,6,3]=>[5,7,3,6,1,4,2]=>[3,1,5,2,7,4,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[2,5,4,7,3,1,6]=>[6,5,3,7,2,1,4]=>[2,3,5,1,6,7,4]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[2,5,4,7,3,6,1]=>[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[2,5,4,7,6,1,3]=>[6,7,3,5,4,1,2]=>[2,1,5,3,4,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[2,5,4,7,6,3,1]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[2,5,6,1,3,4,7]=>[4,6,5,1,3,2,7]=>[4,2,3,7,5,6,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[2,5,6,1,3,7,4]=>[4,7,5,1,3,6,2]=>[4,1,3,7,5,2,6]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[2,5,6,1,4,3,7]=>[4,6,5,1,3,2,7]=>[4,2,3,7,5,6,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[2,5,6,1,4,7,3]=>[4,7,5,1,3,6,2]=>[4,1,3,7,5,2,6]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[2,5,6,1,7,3,4]=>[4,7,6,1,5,3,2]=>[4,1,2,7,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[2,5,6,1,7,4,3]=>[4,7,6,1,5,3,2]=>[4,1,2,7,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[2,5,6,3,1,4,7]=>[5,6,4,3,1,2,7]=>[3,2,4,5,7,6,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[2,5,6,3,1,7,4]=>[5,7,4,3,1,6,2]=>[3,1,4,5,7,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[2,5,6,3,4,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[2,5,6,3,4,7,1]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[2,5,6,3,7,1,4]=>[6,7,4,3,5,1,2]=>[2,1,4,5,3,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[2,5,6,3,7,4,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[2,5,6,4,1,3,7]=>[5,6,4,3,1,2,7]=>[3,2,4,5,7,6,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[2,5,6,4,1,7,3]=>[5,7,4,3,1,6,2]=>[3,1,4,5,7,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[2,5,6,4,3,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[2,5,6,4,3,7,1]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[2,5,6,4,7,1,3]=>[6,7,4,3,5,1,2]=>[2,1,4,5,3,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[2,5,6,4,7,3,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[2,5,6,7,1,3,4]=>[5,7,6,4,1,3,2]=>[3,1,2,4,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[2,5,6,7,1,4,3]=>[5,7,6,4,1,3,2]=>[3,1,2,4,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[2,5,6,7,3,1,4]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[2,5,6,7,3,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,5,6,7,4,1,3]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[2,5,6,7,4,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,5,7,1,3,4,6]=>[4,6,7,1,5,2,3]=>[4,2,1,7,3,6,5]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[2,5,7,1,3,6,4]=>[4,7,6,1,5,3,2]=>[4,1,2,7,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[2,5,7,1,4,3,6]=>[4,6,7,1,5,2,3]=>[4,2,1,7,3,6,5]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[2,5,7,1,4,6,3]=>[4,7,6,1,5,3,2]=>[4,1,2,7,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[2,5,7,1,6,3,4]=>[4,7,6,1,5,3,2]=>[4,1,2,7,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[2,5,7,1,6,4,3]=>[4,7,6,1,5,3,2]=>[4,1,2,7,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[2,5,7,3,1,4,6]=>[5,6,7,4,1,2,3]=>[3,2,1,4,7,6,5]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[2,5,7,3,1,6,4]=>[5,7,6,4,1,3,2]=>[3,1,2,4,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[2,5,7,3,4,1,6]=>[6,5,7,4,2,1,3]=>[2,3,1,4,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[2,5,7,3,4,6,1]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[2,5,7,3,6,1,4]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[2,5,7,3,6,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,5,7,4,1,3,6]=>[5,6,7,4,1,2,3]=>[3,2,1,4,7,6,5]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[2,5,7,4,1,6,3]=>[5,7,6,4,1,3,2]=>[3,1,2,4,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[2,5,7,4,3,1,6]=>[6,5,7,4,2,1,3]=>[2,3,1,4,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[2,5,7,4,3,6,1]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[2,5,7,4,6,1,3]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[2,5,7,4,6,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,5,7,6,1,3,4]=>[5,7,6,4,1,3,2]=>[3,1,2,4,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[2,5,7,6,1,4,3]=>[5,7,6,4,1,3,2]=>[3,1,2,4,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[2,5,7,6,3,1,4]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[2,5,7,6,3,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,5,7,6,4,1,3]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[2,5,7,6,4,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,6,1,3,4,5,7]=>[3,6,1,4,5,2,7]=>[5,2,7,4,3,6,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[2,6,1,3,4,7,5]=>[3,7,1,4,5,6,2]=>[5,1,7,4,3,2,6]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[2,6,1,3,5,4,7]=>[3,6,1,4,5,2,7]=>[5,2,7,4,3,6,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[2,6,1,3,5,7,4]=>[3,7,1,4,5,6,2]=>[5,1,7,4,3,2,6]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[2,6,1,3,7,4,5]=>[3,7,1,4,6,5,2]=>[5,1,7,4,2,3,6]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[2,6,1,3,7,5,4]=>[3,7,1,4,6,5,2]=>[5,1,7,4,2,3,6]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[2,6,1,4,3,5,7]=>[3,6,1,5,4,2,7]=>[5,2,7,3,4,6,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[2,6,1,4,3,7,5]=>[3,7,1,5,4,6,2]=>[5,1,7,3,4,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,6,1,4,5,3,7]=>[3,6,1,5,4,2,7]=>[5,2,7,3,4,6,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[2,6,1,4,5,7,3]=>[3,7,1,5,4,6,2]=>[5,1,7,3,4,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,6,1,4,7,3,5]=>[3,7,1,6,5,4,2]=>[5,1,7,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,6,1,4,7,5,3]=>[3,7,1,6,5,4,2]=>[5,1,7,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,6,1,5,3,4,7]=>[3,6,1,5,4,2,7]=>[5,2,7,3,4,6,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[2,6,1,5,3,7,4]=>[3,7,1,5,4,6,2]=>[5,1,7,3,4,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,6,1,5,4,3,7]=>[3,6,1,5,4,2,7]=>[5,2,7,3,4,6,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[2,6,1,5,4,7,3]=>[3,7,1,5,4,6,2]=>[5,1,7,3,4,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,6,1,5,7,3,4]=>[3,7,1,6,5,4,2]=>[5,1,7,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,6,1,5,7,4,3]=>[3,7,1,6,5,4,2]=>[5,1,7,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,6,1,7,3,4,5]=>[3,7,1,6,5,4,2]=>[5,1,7,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,6,1,7,3,5,4]=>[3,7,1,6,5,4,2]=>[5,1,7,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,6,1,7,4,3,5]=>[3,7,1,6,5,4,2]=>[5,1,7,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,6,1,7,4,5,3]=>[3,7,1,6,5,4,2]=>[5,1,7,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,6,1,7,5,3,4]=>[3,7,1,6,5,4,2]=>[5,1,7,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,6,1,7,5,4,3]=>[3,7,1,6,5,4,2]=>[5,1,7,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,6,3,1,4,5,7]=>[4,6,3,1,5,2,7]=>[4,2,5,7,3,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[2,6,3,1,4,7,5]=>[4,7,3,1,5,6,2]=>[4,1,5,7,3,2,6]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[2,6,3,1,5,4,7]=>[4,6,3,1,5,2,7]=>[4,2,5,7,3,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[2,6,3,1,5,7,4]=>[4,7,3,1,5,6,2]=>[4,1,5,7,3,2,6]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[2,6,3,1,7,4,5]=>[4,7,3,1,6,5,2]=>[4,1,5,7,2,3,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[2,6,3,1,7,5,4]=>[4,7,3,1,6,5,2]=>[4,1,5,7,2,3,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[2,6,3,4,1,5,7]=>[5,6,3,4,1,2,7]=>[3,2,5,4,7,6,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[2,6,3,4,1,7,5]=>[5,7,3,4,1,6,2]=>[3,1,5,4,7,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,6,3,4,5,1,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[2,6,3,4,5,7,1]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[2,6,3,4,7,1,5]=>[6,7,3,4,5,1,2]=>[2,1,5,4,3,7,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[2,6,3,4,7,5,1]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[2,6,3,5,1,4,7]=>[5,6,3,4,1,2,7]=>[3,2,5,4,7,6,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[2,6,3,5,1,7,4]=>[5,7,3,4,1,6,2]=>[3,1,5,4,7,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,6,3,5,4,1,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[2,6,3,5,4,7,1]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[2,6,3,5,7,1,4]=>[6,7,3,4,5,1,2]=>[2,1,5,4,3,7,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[2,6,3,5,7,4,1]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[2,6,3,7,1,4,5]=>[5,7,3,6,1,4,2]=>[3,1,5,2,7,4,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[2,6,3,7,1,5,4]=>[5,7,3,6,1,4,2]=>[3,1,5,2,7,4,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[2,6,3,7,4,1,5]=>[6,7,3,5,4,1,2]=>[2,1,5,3,4,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[2,6,3,7,4,5,1]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[2,6,3,7,5,1,4]=>[6,7,3,5,4,1,2]=>[2,1,5,3,4,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[2,6,3,7,5,4,1]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[2,6,4,1,3,5,7]=>[4,6,5,1,3,2,7]=>[4,2,3,7,5,6,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[2,6,4,1,3,7,5]=>[4,7,5,1,3,6,2]=>[4,1,3,7,5,2,6]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[2,6,4,1,5,3,7]=>[4,6,5,1,3,2,7]=>[4,2,3,7,5,6,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[2,6,4,1,5,7,3]=>[4,7,5,1,3,6,2]=>[4,1,3,7,5,2,6]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[2,6,4,1,7,3,5]=>[4,7,6,1,5,3,2]=>[4,1,2,7,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[2,6,4,1,7,5,3]=>[4,7,6,1,5,3,2]=>[4,1,2,7,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[2,6,4,3,1,5,7]=>[5,6,4,3,1,2,7]=>[3,2,4,5,7,6,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[2,6,4,3,1,7,5]=>[5,7,4,3,1,6,2]=>[3,1,4,5,7,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[2,6,4,3,5,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[2,6,4,3,5,7,1]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[2,6,4,3,7,1,5]=>[6,7,4,3,5,1,2]=>[2,1,4,5,3,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[2,6,4,3,7,5,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[2,6,4,5,1,3,7]=>[5,6,4,3,1,2,7]=>[3,2,4,5,7,6,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[2,6,4,5,1,7,3]=>[5,7,4,3,1,6,2]=>[3,1,4,5,7,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[2,6,4,5,3,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[2,6,4,5,3,7,1]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[2,6,4,5,7,1,3]=>[6,7,4,3,5,1,2]=>[2,1,4,5,3,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[2,6,4,5,7,3,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[2,6,4,7,1,3,5]=>[5,7,6,4,1,3,2]=>[3,1,2,4,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[2,6,4,7,1,5,3]=>[5,7,6,4,1,3,2]=>[3,1,2,4,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[2,6,4,7,3,1,5]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[2,6,4,7,3,5,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,6,4,7,5,1,3]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[2,6,4,7,5,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,6,5,1,3,4,7]=>[4,6,5,1,3,2,7]=>[4,2,3,7,5,6,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[2,6,5,1,3,7,4]=>[4,7,5,1,3,6,2]=>[4,1,3,7,5,2,6]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[2,6,5,1,4,3,7]=>[4,6,5,1,3,2,7]=>[4,2,3,7,5,6,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[2,6,5,1,4,7,3]=>[4,7,5,1,3,6,2]=>[4,1,3,7,5,2,6]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[2,6,5,1,7,3,4]=>[4,7,6,1,5,3,2]=>[4,1,2,7,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[2,6,5,1,7,4,3]=>[4,7,6,1,5,3,2]=>[4,1,2,7,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[2,6,5,3,1,4,7]=>[5,6,4,3,1,2,7]=>[3,2,4,5,7,6,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[2,6,5,3,1,7,4]=>[5,7,4,3,1,6,2]=>[3,1,4,5,7,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[2,6,5,3,4,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[2,6,5,3,4,7,1]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[2,6,5,3,7,1,4]=>[6,7,4,3,5,1,2]=>[2,1,4,5,3,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[2,6,5,3,7,4,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[2,6,5,4,1,3,7]=>[5,6,4,3,1,2,7]=>[3,2,4,5,7,6,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[2,6,5,4,1,7,3]=>[5,7,4,3,1,6,2]=>[3,1,4,5,7,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[2,6,5,4,3,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[2,6,5,4,3,7,1]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[2,6,5,4,7,1,3]=>[6,7,4,3,5,1,2]=>[2,1,4,5,3,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[2,6,5,4,7,3,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[2,6,5,7,1,3,4]=>[5,7,6,4,1,3,2]=>[3,1,2,4,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[2,6,5,7,1,4,3]=>[5,7,6,4,1,3,2]=>[3,1,2,4,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[2,6,5,7,3,1,4]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[2,6,5,7,3,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,6,5,7,4,1,3]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[2,6,5,7,4,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,6,7,1,3,4,5]=>[4,7,6,1,5,3,2]=>[4,1,2,7,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[2,6,7,1,3,5,4]=>[4,7,6,1,5,3,2]=>[4,1,2,7,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[2,6,7,1,4,3,5]=>[4,7,6,1,5,3,2]=>[4,1,2,7,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[2,6,7,1,4,5,3]=>[4,7,6,1,5,3,2]=>[4,1,2,7,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[2,6,7,1,5,3,4]=>[4,7,6,1,5,3,2]=>[4,1,2,7,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[2,6,7,1,5,4,3]=>[4,7,6,1,5,3,2]=>[4,1,2,7,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[2,6,7,3,1,4,5]=>[5,7,6,4,1,3,2]=>[3,1,2,4,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[2,6,7,3,1,5,4]=>[5,7,6,4,1,3,2]=>[3,1,2,4,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[2,6,7,3,4,1,5]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[2,6,7,3,4,5,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,6,7,3,5,1,4]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[2,6,7,3,5,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,6,7,4,1,3,5]=>[5,7,6,4,1,3,2]=>[3,1,2,4,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[2,6,7,4,1,5,3]=>[5,7,6,4,1,3,2]=>[3,1,2,4,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[2,6,7,4,3,1,5]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[2,6,7,4,3,5,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,6,7,4,5,1,3]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[2,6,7,4,5,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,6,7,5,1,3,4]=>[5,7,6,4,1,3,2]=>[3,1,2,4,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[2,6,7,5,1,4,3]=>[5,7,6,4,1,3,2]=>[3,1,2,4,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[2,6,7,5,3,1,4]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[2,6,7,5,3,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,6,7,5,4,1,3]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[2,6,7,5,4,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,7,1,3,4,5,6]=>[3,7,1,4,5,6,2]=>[5,1,7,4,3,2,6]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[2,7,1,3,4,6,5]=>[3,7,1,4,5,6,2]=>[5,1,7,4,3,2,6]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[2,7,1,3,5,4,6]=>[3,7,1,4,6,5,2]=>[5,1,7,4,2,3,6]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[2,7,1,3,5,6,4]=>[3,7,1,4,6,5,2]=>[5,1,7,4,2,3,6]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[2,7,1,3,6,4,5]=>[3,7,1,4,6,5,2]=>[5,1,7,4,2,3,6]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[2,7,1,3,6,5,4]=>[3,7,1,4,6,5,2]=>[5,1,7,4,2,3,6]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[2,7,1,4,3,5,6]=>[3,7,1,5,4,6,2]=>[5,1,7,3,4,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,7,1,4,3,6,5]=>[3,7,1,5,4,6,2]=>[5,1,7,3,4,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,7,1,4,5,3,6]=>[3,7,1,6,5,4,2]=>[5,1,7,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,7,1,4,5,6,3]=>[3,7,1,6,5,4,2]=>[5,1,7,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,7,1,4,6,3,5]=>[3,7,1,6,5,4,2]=>[5,1,7,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,7,1,4,6,5,3]=>[3,7,1,6,5,4,2]=>[5,1,7,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,7,1,5,3,4,6]=>[3,7,1,6,5,4,2]=>[5,1,7,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,7,1,5,3,6,4]=>[3,7,1,6,5,4,2]=>[5,1,7,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,7,1,5,4,3,6]=>[3,7,1,6,5,4,2]=>[5,1,7,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,7,1,5,4,6,3]=>[3,7,1,6,5,4,2]=>[5,1,7,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,7,1,5,6,3,4]=>[3,7,1,6,5,4,2]=>[5,1,7,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,7,1,5,6,4,3]=>[3,7,1,6,5,4,2]=>[5,1,7,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,7,1,6,3,4,5]=>[3,7,1,6,5,4,2]=>[5,1,7,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,7,1,6,3,5,4]=>[3,7,1,6,5,4,2]=>[5,1,7,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,7,1,6,4,3,5]=>[3,7,1,6,5,4,2]=>[5,1,7,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,7,1,6,4,5,3]=>[3,7,1,6,5,4,2]=>[5,1,7,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,7,1,6,5,3,4]=>[3,7,1,6,5,4,2]=>[5,1,7,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,7,1,6,5,4,3]=>[3,7,1,6,5,4,2]=>[5,1,7,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,7,3,1,4,5,6]=>[4,7,3,1,5,6,2]=>[4,1,5,7,3,2,6]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[2,7,3,1,4,6,5]=>[4,7,3,1,5,6,2]=>[4,1,5,7,3,2,6]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[2,7,3,1,5,4,6]=>[4,7,3,1,6,5,2]=>[4,1,5,7,2,3,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[2,7,3,1,5,6,4]=>[4,7,3,1,6,5,2]=>[4,1,5,7,2,3,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[2,7,3,1,6,4,5]=>[4,7,3,1,6,5,2]=>[4,1,5,7,2,3,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[2,7,3,1,6,5,4]=>[4,7,3,1,6,5,2]=>[4,1,5,7,2,3,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[2,7,3,4,1,5,6]=>[5,7,3,4,1,6,2]=>[3,1,5,4,7,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,7,3,4,1,6,5]=>[5,7,3,4,1,6,2]=>[3,1,5,4,7,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,7,3,4,5,1,6]=>[6,7,3,4,5,1,2]=>[2,1,5,4,3,7,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[2,7,3,4,5,6,1]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[2,7,3,4,6,1,5]=>[6,7,3,4,5,1,2]=>[2,1,5,4,3,7,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[2,7,3,4,6,5,1]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[2,7,3,5,1,4,6]=>[5,7,3,6,1,4,2]=>[3,1,5,2,7,4,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[2,7,3,5,1,6,4]=>[5,7,3,6,1,4,2]=>[3,1,5,2,7,4,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[2,7,3,5,4,1,6]=>[6,7,3,5,4,1,2]=>[2,1,5,3,4,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[2,7,3,5,4,6,1]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[2,7,3,5,6,1,4]=>[6,7,3,5,4,1,2]=>[2,1,5,3,4,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[2,7,3,5,6,4,1]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[2,7,3,6,1,4,5]=>[5,7,3,6,1,4,2]=>[3,1,5,2,7,4,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[2,7,3,6,1,5,4]=>[5,7,3,6,1,4,2]=>[3,1,5,2,7,4,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[2,7,3,6,4,1,5]=>[6,7,3,5,4,1,2]=>[2,1,5,3,4,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[2,7,3,6,4,5,1]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[2,7,3,6,5,1,4]=>[6,7,3,5,4,1,2]=>[2,1,5,3,4,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[2,7,3,6,5,4,1]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[2,7,4,1,3,5,6]=>[4,7,5,1,3,6,2]=>[4,1,3,7,5,2,6]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[2,7,4,1,3,6,5]=>[4,7,5,1,3,6,2]=>[4,1,3,7,5,2,6]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[2,7,4,1,5,3,6]=>[4,7,6,1,5,3,2]=>[4,1,2,7,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[2,7,4,1,5,6,3]=>[4,7,6,1,5,3,2]=>[4,1,2,7,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[2,7,4,1,6,3,5]=>[4,7,6,1,5,3,2]=>[4,1,2,7,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[2,7,4,1,6,5,3]=>[4,7,6,1,5,3,2]=>[4,1,2,7,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[2,7,4,3,1,5,6]=>[5,7,4,3,1,6,2]=>[3,1,4,5,7,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[2,7,4,3,1,6,5]=>[5,7,4,3,1,6,2]=>[3,1,4,5,7,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[2,7,4,3,5,1,6]=>[6,7,4,3,5,1,2]=>[2,1,4,5,3,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[2,7,4,3,5,6,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[2,7,4,3,6,1,5]=>[6,7,4,3,5,1,2]=>[2,1,4,5,3,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[2,7,4,3,6,5,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[2,7,4,5,1,3,6]=>[5,7,6,4,1,3,2]=>[3,1,2,4,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[2,7,4,5,1,6,3]=>[5,7,6,4,1,3,2]=>[3,1,2,4,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[2,7,4,5,3,1,6]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[2,7,4,5,3,6,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,7,4,5,6,1,3]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[2,7,4,5,6,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,7,4,6,1,3,5]=>[5,7,6,4,1,3,2]=>[3,1,2,4,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[2,7,4,6,1,5,3]=>[5,7,6,4,1,3,2]=>[3,1,2,4,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[2,7,4,6,3,1,5]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[2,7,4,6,3,5,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,7,4,6,5,1,3]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[2,7,4,6,5,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,7,5,1,3,4,6]=>[4,7,6,1,5,3,2]=>[4,1,2,7,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[2,7,5,1,3,6,4]=>[4,7,6,1,5,3,2]=>[4,1,2,7,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[2,7,5,1,4,3,6]=>[4,7,6,1,5,3,2]=>[4,1,2,7,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[2,7,5,1,4,6,3]=>[4,7,6,1,5,3,2]=>[4,1,2,7,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[2,7,5,1,6,3,4]=>[4,7,6,1,5,3,2]=>[4,1,2,7,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[2,7,5,1,6,4,3]=>[4,7,6,1,5,3,2]=>[4,1,2,7,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[2,7,5,3,1,4,6]=>[5,7,6,4,1,3,2]=>[3,1,2,4,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[2,7,5,3,1,6,4]=>[5,7,6,4,1,3,2]=>[3,1,2,4,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[2,7,5,3,4,1,6]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[2,7,5,3,4,6,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,7,5,3,6,1,4]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[2,7,5,3,6,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,7,5,4,1,3,6]=>[5,7,6,4,1,3,2]=>[3,1,2,4,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[2,7,5,4,1,6,3]=>[5,7,6,4,1,3,2]=>[3,1,2,4,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[2,7,5,4,3,1,6]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[2,7,5,4,3,6,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,7,5,4,6,1,3]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[2,7,5,4,6,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,7,5,6,1,3,4]=>[5,7,6,4,1,3,2]=>[3,1,2,4,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[2,7,5,6,1,4,3]=>[5,7,6,4,1,3,2]=>[3,1,2,4,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[2,7,5,6,3,1,4]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[2,7,5,6,3,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,7,5,6,4,1,3]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[2,7,5,6,4,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,7,6,1,3,4,5]=>[4,7,6,1,5,3,2]=>[4,1,2,7,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[2,7,6,1,3,5,4]=>[4,7,6,1,5,3,2]=>[4,1,2,7,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[2,7,6,1,4,3,5]=>[4,7,6,1,5,3,2]=>[4,1,2,7,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[2,7,6,1,4,5,3]=>[4,7,6,1,5,3,2]=>[4,1,2,7,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[2,7,6,1,5,3,4]=>[4,7,6,1,5,3,2]=>[4,1,2,7,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[2,7,6,1,5,4,3]=>[4,7,6,1,5,3,2]=>[4,1,2,7,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[2,7,6,3,1,4,5]=>[5,7,6,4,1,3,2]=>[3,1,2,4,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[2,7,6,3,1,5,4]=>[5,7,6,4,1,3,2]=>[3,1,2,4,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[2,7,6,3,4,1,5]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[2,7,6,3,4,5,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,7,6,3,5,1,4]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[2,7,6,3,5,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,7,6,4,1,3,5]=>[5,7,6,4,1,3,2]=>[3,1,2,4,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[2,7,6,4,1,5,3]=>[5,7,6,4,1,3,2]=>[3,1,2,4,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[2,7,6,4,3,1,5]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[2,7,6,4,3,5,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,7,6,4,5,1,3]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[2,7,6,4,5,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,7,6,5,1,3,4]=>[5,7,6,4,1,3,2]=>[3,1,2,4,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[2,7,6,5,1,4,3]=>[5,7,6,4,1,3,2]=>[3,1,2,4,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[2,7,6,5,3,1,4]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[2,7,6,5,3,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,7,6,5,4,1,3]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[2,7,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,1,2,4,5,6,7]=>[3,2,1,4,5,6,7]=>[5,6,7,4,3,2,1]=>[[[[[.,[.,[.,.]]],.],.],.],.]
[3,1,2,4,5,7,6]=>[3,2,1,4,5,7,6]=>[5,6,7,4,3,1,2]=>[[[[.,[.,[.,.]]],.],.],[.,.]]
[3,1,2,4,6,5,7]=>[3,2,1,4,6,5,7]=>[5,6,7,4,2,3,1]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
[3,1,2,4,6,7,5]=>[3,2,1,4,7,6,5]=>[5,6,7,4,1,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[3,1,2,4,7,5,6]=>[3,2,1,4,7,6,5]=>[5,6,7,4,1,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[3,1,2,4,7,6,5]=>[3,2,1,4,7,6,5]=>[5,6,7,4,1,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[3,1,2,5,4,6,7]=>[3,2,1,5,4,6,7]=>[5,6,7,3,4,2,1]=>[[[[.,[.,[.,.]]],[.,.]],.],.]
[3,1,2,5,4,7,6]=>[3,2,1,5,4,7,6]=>[5,6,7,3,4,1,2]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[3,1,2,5,6,4,7]=>[3,2,1,6,5,4,7]=>[5,6,7,2,3,4,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[3,1,2,5,6,7,4]=>[3,2,1,7,5,6,4]=>[5,6,7,1,3,2,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[3,1,2,5,7,4,6]=>[3,2,1,6,7,4,5]=>[5,6,7,2,1,4,3]=>[[[.,[.,[.,.]]],.],[[.,.],.]]
[3,1,2,5,7,6,4]=>[3,2,1,7,6,5,4]=>[5,6,7,1,2,3,4]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[3,1,2,6,4,5,7]=>[3,2,1,6,5,4,7]=>[5,6,7,2,3,4,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[3,1,2,6,4,7,5]=>[3,2,1,7,5,6,4]=>[5,6,7,1,3,2,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[3,1,2,6,5,4,7]=>[3,2,1,6,5,4,7]=>[5,6,7,2,3,4,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[3,1,2,6,5,7,4]=>[3,2,1,7,5,6,4]=>[5,6,7,1,3,2,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[3,1,2,6,7,4,5]=>[3,2,1,7,6,5,4]=>[5,6,7,1,2,3,4]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[3,1,2,6,7,5,4]=>[3,2,1,7,6,5,4]=>[5,6,7,1,2,3,4]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[3,1,2,7,4,5,6]=>[3,2,1,7,5,6,4]=>[5,6,7,1,3,2,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[3,1,2,7,4,6,5]=>[3,2,1,7,5,6,4]=>[5,6,7,1,3,2,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[3,1,2,7,5,4,6]=>[3,2,1,7,6,5,4]=>[5,6,7,1,2,3,4]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[3,1,2,7,5,6,4]=>[3,2,1,7,6,5,4]=>[5,6,7,1,2,3,4]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[3,1,2,7,6,4,5]=>[3,2,1,7,6,5,4]=>[5,6,7,1,2,3,4]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[3,1,2,7,6,5,4]=>[3,2,1,7,6,5,4]=>[5,6,7,1,2,3,4]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[3,1,4,2,5,6,7]=>[4,2,3,1,5,6,7]=>[4,6,5,7,3,2,1]=>[[[[.,[[.,.],[.,.]]],.],.],.]
[3,1,4,2,5,7,6]=>[4,2,3,1,5,7,6]=>[4,6,5,7,3,1,2]=>[[[.,[[.,.],[.,.]]],.],[.,.]]
[3,1,4,2,6,5,7]=>[4,2,3,1,6,5,7]=>[4,6,5,7,2,3,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[3,1,4,2,6,7,5]=>[4,2,3,1,7,6,5]=>[4,6,5,7,1,2,3]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[3,1,4,2,7,5,6]=>[4,2,3,1,7,6,5]=>[4,6,5,7,1,2,3]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[3,1,4,2,7,6,5]=>[4,2,3,1,7,6,5]=>[4,6,5,7,1,2,3]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[3,1,4,5,2,6,7]=>[5,2,3,4,1,6,7]=>[3,6,5,4,7,2,1]=>[[[.,[[[.,.],.],[.,.]]],.],.]
[3,1,4,5,2,7,6]=>[5,2,3,4,1,7,6]=>[3,6,5,4,7,1,2]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[3,1,4,5,6,2,7]=>[6,2,3,4,5,1,7]=>[2,6,5,4,3,7,1]=>[[.,[[[[.,.],.],.],[.,.]]],.]
[3,1,4,5,6,7,2]=>[7,2,3,4,5,6,1]=>[1,6,5,4,3,2,7]=>[.,[[[[[.,.],.],.],.],[.,.]]]
[3,1,4,5,7,2,6]=>[6,2,3,4,7,1,5]=>[2,6,5,4,1,7,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[3,1,4,5,7,6,2]=>[7,2,3,4,6,5,1]=>[1,6,5,4,2,3,7]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[3,1,4,6,2,5,7]=>[5,2,3,6,1,4,7]=>[3,6,5,2,7,4,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[3,1,4,6,2,7,5]=>[5,2,3,7,1,6,4]=>[3,6,5,1,7,2,4]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[3,1,4,6,5,2,7]=>[6,2,3,5,4,1,7]=>[2,6,5,3,4,7,1]=>[[.,[[[.,.],.],[.,[.,.]]]],.]
[3,1,4,6,5,7,2]=>[7,2,3,5,4,6,1]=>[1,6,5,3,4,2,7]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[3,1,4,6,7,2,5]=>[6,2,3,7,5,1,4]=>[2,6,5,1,3,7,4]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[3,1,4,6,7,5,2]=>[7,2,3,6,5,4,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[3,1,4,7,2,5,6]=>[5,2,3,7,1,6,4]=>[3,6,5,1,7,2,4]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[3,1,4,7,2,6,5]=>[5,2,3,7,1,6,4]=>[3,6,5,1,7,2,4]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[3,1,4,7,5,2,6]=>[6,2,3,7,5,1,4]=>[2,6,5,1,3,7,4]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[3,1,4,7,5,6,2]=>[7,2,3,6,5,4,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[3,1,4,7,6,2,5]=>[6,2,3,7,5,1,4]=>[2,6,5,1,3,7,4]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[3,1,4,7,6,5,2]=>[7,2,3,6,5,4,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[3,1,5,2,4,6,7]=>[4,2,5,1,3,6,7]=>[4,6,3,7,5,2,1]=>[[[[.,[.,.]],[[.,.],.]],.],.]
[3,1,5,2,4,7,6]=>[4,2,5,1,3,7,6]=>[4,6,3,7,5,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[3,1,5,2,6,4,7]=>[4,2,6,1,5,3,7]=>[4,6,2,7,3,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[3,1,5,2,6,7,4]=>[4,2,7,1,5,6,3]=>[4,6,1,7,3,2,5]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[3,1,5,2,7,4,6]=>[4,2,6,1,7,3,5]=>[4,6,2,7,1,5,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[3,1,5,2,7,6,4]=>[4,2,7,1,6,5,3]=>[4,6,1,7,2,3,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[3,1,5,4,2,6,7]=>[5,2,4,3,1,6,7]=>[3,6,4,5,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[3,1,5,4,2,7,6]=>[5,2,4,3,1,7,6]=>[3,6,4,5,7,1,2]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[3,1,5,4,6,2,7]=>[6,2,4,3,5,1,7]=>[2,6,4,5,3,7,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[3,1,5,4,6,7,2]=>[7,2,4,3,5,6,1]=>[1,6,4,5,3,2,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[3,1,5,4,7,2,6]=>[6,2,4,3,7,1,5]=>[2,6,4,5,1,7,3]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[3,1,5,4,7,6,2]=>[7,2,4,3,6,5,1]=>[1,6,4,5,2,3,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[3,1,5,6,2,4,7]=>[5,2,6,4,1,3,7]=>[3,6,2,4,7,5,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[3,1,5,6,2,7,4]=>[5,2,7,4,1,6,3]=>[3,6,1,4,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[3,1,5,6,4,2,7]=>[6,2,5,4,3,1,7]=>[2,6,3,4,5,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[3,1,5,6,4,7,2]=>[7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[3,1,5,6,7,2,4]=>[6,2,7,4,5,1,3]=>[2,6,1,4,3,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,1,5,6,7,4,2]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[3,1,5,7,2,4,6]=>[5,2,6,7,1,3,4]=>[3,6,2,1,7,5,4]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[3,1,5,7,2,6,4]=>[5,2,7,6,1,4,3]=>[3,6,1,2,7,4,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[3,1,5,7,4,2,6]=>[6,2,5,7,3,1,4]=>[2,6,3,1,5,7,4]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[3,1,5,7,4,6,2]=>[7,2,5,6,3,4,1]=>[1,6,3,2,5,4,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[3,1,5,7,6,2,4]=>[6,2,7,5,4,1,3]=>[2,6,1,3,4,7,5]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[3,1,5,7,6,4,2]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[3,1,6,2,4,5,7]=>[4,2,6,1,5,3,7]=>[4,6,2,7,3,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[3,1,6,2,4,7,5]=>[4,2,7,1,5,6,3]=>[4,6,1,7,3,2,5]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[3,1,6,2,5,4,7]=>[4,2,6,1,5,3,7]=>[4,6,2,7,3,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[3,1,6,2,5,7,4]=>[4,2,7,1,5,6,3]=>[4,6,1,7,3,2,5]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[3,1,6,2,7,4,5]=>[4,2,7,1,6,5,3]=>[4,6,1,7,2,3,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[3,1,6,2,7,5,4]=>[4,2,7,1,6,5,3]=>[4,6,1,7,2,3,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[3,1,6,4,2,5,7]=>[5,2,6,4,1,3,7]=>[3,6,2,4,7,5,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[3,1,6,4,2,7,5]=>[5,2,7,4,1,6,3]=>[3,6,1,4,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[3,1,6,4,5,2,7]=>[6,2,5,4,3,1,7]=>[2,6,3,4,5,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[3,1,6,4,5,7,2]=>[7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[3,1,6,4,7,2,5]=>[6,2,7,4,5,1,3]=>[2,6,1,4,3,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,1,6,4,7,5,2]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[3,1,6,5,2,4,7]=>[5,2,6,4,1,3,7]=>[3,6,2,4,7,5,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[3,1,6,5,2,7,4]=>[5,2,7,4,1,6,3]=>[3,6,1,4,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[3,1,6,5,4,2,7]=>[6,2,5,4,3,1,7]=>[2,6,3,4,5,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[3,1,6,5,4,7,2]=>[7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[3,1,6,5,7,2,4]=>[6,2,7,4,5,1,3]=>[2,6,1,4,3,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,1,6,5,7,4,2]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[3,1,6,7,2,4,5]=>[5,2,7,6,1,4,3]=>[3,6,1,2,7,4,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[3,1,6,7,2,5,4]=>[5,2,7,6,1,4,3]=>[3,6,1,2,7,4,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[3,1,6,7,4,2,5]=>[6,2,7,5,4,1,3]=>[2,6,1,3,4,7,5]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[3,1,6,7,4,5,2]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[3,1,6,7,5,2,4]=>[6,2,7,5,4,1,3]=>[2,6,1,3,4,7,5]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[3,1,6,7,5,4,2]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[3,1,7,2,4,5,6]=>[4,2,7,1,5,6,3]=>[4,6,1,7,3,2,5]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[3,1,7,2,4,6,5]=>[4,2,7,1,5,6,3]=>[4,6,1,7,3,2,5]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[3,1,7,2,5,4,6]=>[4,2,7,1,6,5,3]=>[4,6,1,7,2,3,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[3,1,7,2,5,6,4]=>[4,2,7,1,6,5,3]=>[4,6,1,7,2,3,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[3,1,7,2,6,4,5]=>[4,2,7,1,6,5,3]=>[4,6,1,7,2,3,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[3,1,7,2,6,5,4]=>[4,2,7,1,6,5,3]=>[4,6,1,7,2,3,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[3,1,7,4,2,5,6]=>[5,2,7,4,1,6,3]=>[3,6,1,4,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[3,1,7,4,2,6,5]=>[5,2,7,4,1,6,3]=>[3,6,1,4,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[3,1,7,4,5,2,6]=>[6,2,7,4,5,1,3]=>[2,6,1,4,3,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,1,7,4,5,6,2]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[3,1,7,4,6,2,5]=>[6,2,7,4,5,1,3]=>[2,6,1,4,3,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,1,7,4,6,5,2]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[3,1,7,5,2,4,6]=>[5,2,7,6,1,4,3]=>[3,6,1,2,7,4,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[3,1,7,5,2,6,4]=>[5,2,7,6,1,4,3]=>[3,6,1,2,7,4,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[3,1,7,5,4,2,6]=>[6,2,7,5,4,1,3]=>[2,6,1,3,4,7,5]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[3,1,7,5,4,6,2]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[3,1,7,5,6,2,4]=>[6,2,7,5,4,1,3]=>[2,6,1,3,4,7,5]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[3,1,7,5,6,4,2]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[3,1,7,6,2,4,5]=>[5,2,7,6,1,4,3]=>[3,6,1,2,7,4,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[3,1,7,6,2,5,4]=>[5,2,7,6,1,4,3]=>[3,6,1,2,7,4,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[3,1,7,6,4,2,5]=>[6,2,7,5,4,1,3]=>[2,6,1,3,4,7,5]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[3,1,7,6,4,5,2]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[3,1,7,6,5,2,4]=>[6,2,7,5,4,1,3]=>[2,6,1,3,4,7,5]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[3,1,7,6,5,4,2]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[3,2,1,4,5,6,7]=>[3,2,1,4,5,6,7]=>[5,6,7,4,3,2,1]=>[[[[[.,[.,[.,.]]],.],.],.],.]
[3,2,1,4,5,7,6]=>[3,2,1,4,5,7,6]=>[5,6,7,4,3,1,2]=>[[[[.,[.,[.,.]]],.],.],[.,.]]
[3,2,1,4,6,5,7]=>[3,2,1,4,6,5,7]=>[5,6,7,4,2,3,1]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
[3,2,1,4,6,7,5]=>[3,2,1,4,7,6,5]=>[5,6,7,4,1,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[3,2,1,4,7,5,6]=>[3,2,1,4,7,6,5]=>[5,6,7,4,1,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[3,2,1,4,7,6,5]=>[3,2,1,4,7,6,5]=>[5,6,7,4,1,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[3,2,1,5,4,6,7]=>[3,2,1,5,4,6,7]=>[5,6,7,3,4,2,1]=>[[[[.,[.,[.,.]]],[.,.]],.],.]
[3,2,1,5,4,7,6]=>[3,2,1,5,4,7,6]=>[5,6,7,3,4,1,2]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[3,2,1,5,6,4,7]=>[3,2,1,6,5,4,7]=>[5,6,7,2,3,4,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[3,2,1,5,6,7,4]=>[3,2,1,7,5,6,4]=>[5,6,7,1,3,2,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[3,2,1,5,7,4,6]=>[3,2,1,6,7,4,5]=>[5,6,7,2,1,4,3]=>[[[.,[.,[.,.]]],.],[[.,.],.]]
[3,2,1,5,7,6,4]=>[3,2,1,7,6,5,4]=>[5,6,7,1,2,3,4]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[3,2,1,6,4,5,7]=>[3,2,1,6,5,4,7]=>[5,6,7,2,3,4,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[3,2,1,6,4,7,5]=>[3,2,1,7,5,6,4]=>[5,6,7,1,3,2,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[3,2,1,6,5,4,7]=>[3,2,1,6,5,4,7]=>[5,6,7,2,3,4,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[3,2,1,6,5,7,4]=>[3,2,1,7,5,6,4]=>[5,6,7,1,3,2,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[3,2,1,6,7,4,5]=>[3,2,1,7,6,5,4]=>[5,6,7,1,2,3,4]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[3,2,1,6,7,5,4]=>[3,2,1,7,6,5,4]=>[5,6,7,1,2,3,4]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[3,2,1,7,4,5,6]=>[3,2,1,7,5,6,4]=>[5,6,7,1,3,2,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[3,2,1,7,4,6,5]=>[3,2,1,7,5,6,4]=>[5,6,7,1,3,2,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[3,2,1,7,5,4,6]=>[3,2,1,7,6,5,4]=>[5,6,7,1,2,3,4]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[3,2,1,7,5,6,4]=>[3,2,1,7,6,5,4]=>[5,6,7,1,2,3,4]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[3,2,1,7,6,4,5]=>[3,2,1,7,6,5,4]=>[5,6,7,1,2,3,4]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[3,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[5,6,7,1,2,3,4]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[3,2,4,1,5,6,7]=>[4,2,3,1,5,6,7]=>[4,6,5,7,3,2,1]=>[[[[.,[[.,.],[.,.]]],.],.],.]
[3,2,4,1,5,7,6]=>[4,2,3,1,5,7,6]=>[4,6,5,7,3,1,2]=>[[[.,[[.,.],[.,.]]],.],[.,.]]
[3,2,4,1,6,5,7]=>[4,2,3,1,6,5,7]=>[4,6,5,7,2,3,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[3,2,4,1,6,7,5]=>[4,2,3,1,7,6,5]=>[4,6,5,7,1,2,3]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[3,2,4,1,7,5,6]=>[4,2,3,1,7,6,5]=>[4,6,5,7,1,2,3]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[3,2,4,1,7,6,5]=>[4,2,3,1,7,6,5]=>[4,6,5,7,1,2,3]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[3,2,4,5,1,6,7]=>[5,2,3,4,1,6,7]=>[3,6,5,4,7,2,1]=>[[[.,[[[.,.],.],[.,.]]],.],.]
[3,2,4,5,1,7,6]=>[5,2,3,4,1,7,6]=>[3,6,5,4,7,1,2]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[3,2,4,5,6,1,7]=>[6,2,3,4,5,1,7]=>[2,6,5,4,3,7,1]=>[[.,[[[[.,.],.],.],[.,.]]],.]
[3,2,4,5,6,7,1]=>[7,2,3,4,5,6,1]=>[1,6,5,4,3,2,7]=>[.,[[[[[.,.],.],.],.],[.,.]]]
[3,2,4,5,7,1,6]=>[6,2,3,4,7,1,5]=>[2,6,5,4,1,7,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[3,2,4,5,7,6,1]=>[7,2,3,4,6,5,1]=>[1,6,5,4,2,3,7]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[3,2,4,6,1,5,7]=>[5,2,3,6,1,4,7]=>[3,6,5,2,7,4,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[3,2,4,6,1,7,5]=>[5,2,3,7,1,6,4]=>[3,6,5,1,7,2,4]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[3,2,4,6,5,1,7]=>[6,2,3,5,4,1,7]=>[2,6,5,3,4,7,1]=>[[.,[[[.,.],.],[.,[.,.]]]],.]
[3,2,4,6,5,7,1]=>[7,2,3,5,4,6,1]=>[1,6,5,3,4,2,7]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[3,2,4,6,7,1,5]=>[6,2,3,7,5,1,4]=>[2,6,5,1,3,7,4]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[3,2,4,6,7,5,1]=>[7,2,3,6,5,4,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[3,2,4,7,1,5,6]=>[5,2,3,7,1,6,4]=>[3,6,5,1,7,2,4]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[3,2,4,7,1,6,5]=>[5,2,3,7,1,6,4]=>[3,6,5,1,7,2,4]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[3,2,4,7,5,1,6]=>[6,2,3,7,5,1,4]=>[2,6,5,1,3,7,4]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[3,2,4,7,5,6,1]=>[7,2,3,6,5,4,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[3,2,4,7,6,1,5]=>[6,2,3,7,5,1,4]=>[2,6,5,1,3,7,4]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[3,2,4,7,6,5,1]=>[7,2,3,6,5,4,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[3,2,5,1,4,6,7]=>[4,2,5,1,3,6,7]=>[4,6,3,7,5,2,1]=>[[[[.,[.,.]],[[.,.],.]],.],.]
[3,2,5,1,4,7,6]=>[4,2,5,1,3,7,6]=>[4,6,3,7,5,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[3,2,5,1,6,4,7]=>[4,2,6,1,5,3,7]=>[4,6,2,7,3,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[3,2,5,1,6,7,4]=>[4,2,7,1,5,6,3]=>[4,6,1,7,3,2,5]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[3,2,5,1,7,4,6]=>[4,2,6,1,7,3,5]=>[4,6,2,7,1,5,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[3,2,5,1,7,6,4]=>[4,2,7,1,6,5,3]=>[4,6,1,7,2,3,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[3,2,5,4,1,6,7]=>[5,2,4,3,1,6,7]=>[3,6,4,5,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[3,2,5,4,1,7,6]=>[5,2,4,3,1,7,6]=>[3,6,4,5,7,1,2]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[3,2,5,4,6,1,7]=>[6,2,4,3,5,1,7]=>[2,6,4,5,3,7,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[3,2,5,4,6,7,1]=>[7,2,4,3,5,6,1]=>[1,6,4,5,3,2,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[3,2,5,4,7,1,6]=>[6,2,4,3,7,1,5]=>[2,6,4,5,1,7,3]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[3,2,5,4,7,6,1]=>[7,2,4,3,6,5,1]=>[1,6,4,5,2,3,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[3,2,5,6,1,4,7]=>[5,2,6,4,1,3,7]=>[3,6,2,4,7,5,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[3,2,5,6,1,7,4]=>[5,2,7,4,1,6,3]=>[3,6,1,4,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[3,2,5,6,4,1,7]=>[6,2,5,4,3,1,7]=>[2,6,3,4,5,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[3,2,5,6,4,7,1]=>[7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[3,2,5,6,7,1,4]=>[6,2,7,4,5,1,3]=>[2,6,1,4,3,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,2,5,6,7,4,1]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[3,2,5,7,1,4,6]=>[5,2,6,7,1,3,4]=>[3,6,2,1,7,5,4]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[3,2,5,7,1,6,4]=>[5,2,7,6,1,4,3]=>[3,6,1,2,7,4,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[3,2,5,7,4,1,6]=>[6,2,5,7,3,1,4]=>[2,6,3,1,5,7,4]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[3,2,5,7,4,6,1]=>[7,2,5,6,3,4,1]=>[1,6,3,2,5,4,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[3,2,5,7,6,1,4]=>[6,2,7,5,4,1,3]=>[2,6,1,3,4,7,5]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[3,2,5,7,6,4,1]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[3,2,6,1,4,5,7]=>[4,2,6,1,5,3,7]=>[4,6,2,7,3,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[3,2,6,1,4,7,5]=>[4,2,7,1,5,6,3]=>[4,6,1,7,3,2,5]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[3,2,6,1,5,4,7]=>[4,2,6,1,5,3,7]=>[4,6,2,7,3,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[3,2,6,1,5,7,4]=>[4,2,7,1,5,6,3]=>[4,6,1,7,3,2,5]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[3,2,6,1,7,4,5]=>[4,2,7,1,6,5,3]=>[4,6,1,7,2,3,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[3,2,6,1,7,5,4]=>[4,2,7,1,6,5,3]=>[4,6,1,7,2,3,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[3,2,6,4,1,5,7]=>[5,2,6,4,1,3,7]=>[3,6,2,4,7,5,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[3,2,6,4,1,7,5]=>[5,2,7,4,1,6,3]=>[3,6,1,4,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[3,2,6,4,5,1,7]=>[6,2,5,4,3,1,7]=>[2,6,3,4,5,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[3,2,6,4,5,7,1]=>[7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[3,2,6,4,7,1,5]=>[6,2,7,4,5,1,3]=>[2,6,1,4,3,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,2,6,4,7,5,1]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[3,2,6,5,1,4,7]=>[5,2,6,4,1,3,7]=>[3,6,2,4,7,5,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[3,2,6,5,1,7,4]=>[5,2,7,4,1,6,3]=>[3,6,1,4,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[3,2,6,5,4,1,7]=>[6,2,5,4,3,1,7]=>[2,6,3,4,5,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[3,2,6,5,4,7,1]=>[7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[3,2,6,5,7,1,4]=>[6,2,7,4,5,1,3]=>[2,6,1,4,3,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,2,6,5,7,4,1]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[3,2,6,7,1,4,5]=>[5,2,7,6,1,4,3]=>[3,6,1,2,7,4,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[3,2,6,7,1,5,4]=>[5,2,7,6,1,4,3]=>[3,6,1,2,7,4,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[3,2,6,7,4,1,5]=>[6,2,7,5,4,1,3]=>[2,6,1,3,4,7,5]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[3,2,6,7,4,5,1]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[3,2,6,7,5,1,4]=>[6,2,7,5,4,1,3]=>[2,6,1,3,4,7,5]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[3,2,6,7,5,4,1]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[3,2,7,1,4,5,6]=>[4,2,7,1,5,6,3]=>[4,6,1,7,3,2,5]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[3,2,7,1,4,6,5]=>[4,2,7,1,5,6,3]=>[4,6,1,7,3,2,5]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[3,2,7,1,5,4,6]=>[4,2,7,1,6,5,3]=>[4,6,1,7,2,3,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[3,2,7,1,5,6,4]=>[4,2,7,1,6,5,3]=>[4,6,1,7,2,3,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[3,2,7,1,6,4,5]=>[4,2,7,1,6,5,3]=>[4,6,1,7,2,3,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[3,2,7,1,6,5,4]=>[4,2,7,1,6,5,3]=>[4,6,1,7,2,3,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[3,2,7,4,1,5,6]=>[5,2,7,4,1,6,3]=>[3,6,1,4,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[3,2,7,4,1,6,5]=>[5,2,7,4,1,6,3]=>[3,6,1,4,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[3,2,7,4,5,1,6]=>[6,2,7,4,5,1,3]=>[2,6,1,4,3,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,2,7,4,5,6,1]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[3,2,7,4,6,1,5]=>[6,2,7,4,5,1,3]=>[2,6,1,4,3,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,2,7,4,6,5,1]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[3,2,7,5,1,4,6]=>[5,2,7,6,1,4,3]=>[3,6,1,2,7,4,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[3,2,7,5,1,6,4]=>[5,2,7,6,1,4,3]=>[3,6,1,2,7,4,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[3,2,7,5,4,1,6]=>[6,2,7,5,4,1,3]=>[2,6,1,3,4,7,5]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[3,2,7,5,4,6,1]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[3,2,7,5,6,1,4]=>[6,2,7,5,4,1,3]=>[2,6,1,3,4,7,5]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[3,2,7,5,6,4,1]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[3,2,7,6,1,4,5]=>[5,2,7,6,1,4,3]=>[3,6,1,2,7,4,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[3,2,7,6,1,5,4]=>[5,2,7,6,1,4,3]=>[3,6,1,2,7,4,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[3,2,7,6,4,1,5]=>[6,2,7,5,4,1,3]=>[2,6,1,3,4,7,5]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[3,2,7,6,4,5,1]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[3,2,7,6,5,1,4]=>[6,2,7,5,4,1,3]=>[2,6,1,3,4,7,5]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[3,2,7,6,5,4,1]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[3,4,1,2,5,6,7]=>[4,3,2,1,5,6,7]=>[4,5,6,7,3,2,1]=>[[[[.,[.,[.,[.,.]]]],.],.],.]
[3,4,1,2,5,7,6]=>[4,3,2,1,5,7,6]=>[4,5,6,7,3,1,2]=>[[[.,[.,[.,[.,.]]]],.],[.,.]]
[3,4,1,2,6,5,7]=>[4,3,2,1,6,5,7]=>[4,5,6,7,2,3,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[3,4,1,2,6,7,5]=>[4,3,2,1,7,6,5]=>[4,5,6,7,1,2,3]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[3,4,1,2,7,5,6]=>[4,3,2,1,7,6,5]=>[4,5,6,7,1,2,3]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[3,4,1,2,7,6,5]=>[4,3,2,1,7,6,5]=>[4,5,6,7,1,2,3]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[3,4,1,5,2,6,7]=>[5,3,2,4,1,6,7]=>[3,5,6,4,7,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[3,4,1,5,2,7,6]=>[5,3,2,4,1,7,6]=>[3,5,6,4,7,1,2]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[3,4,1,5,6,2,7]=>[6,3,2,4,5,1,7]=>[2,5,6,4,3,7,1]=>[[.,[[[.,[.,.]],.],[.,.]]],.]
[3,4,1,5,6,7,2]=>[7,3,2,4,5,6,1]=>[1,5,6,4,3,2,7]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[3,4,1,5,7,2,6]=>[6,3,2,4,7,1,5]=>[2,5,6,4,1,7,3]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[3,4,1,5,7,6,2]=>[7,3,2,4,6,5,1]=>[1,5,6,4,2,3,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[3,4,1,6,2,5,7]=>[5,3,2,6,1,4,7]=>[3,5,6,2,7,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[3,4,1,6,2,7,5]=>[5,3,2,7,1,6,4]=>[3,5,6,1,7,2,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[3,4,1,6,5,2,7]=>[6,3,2,5,4,1,7]=>[2,5,6,3,4,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[3,4,1,6,5,7,2]=>[7,3,2,5,4,6,1]=>[1,5,6,3,4,2,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[3,4,1,6,7,2,5]=>[6,3,2,7,5,1,4]=>[2,5,6,1,3,7,4]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[3,4,1,6,7,5,2]=>[7,3,2,6,5,4,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[3,4,1,7,2,5,6]=>[5,3,2,7,1,6,4]=>[3,5,6,1,7,2,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[3,4,1,7,2,6,5]=>[5,3,2,7,1,6,4]=>[3,5,6,1,7,2,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[3,4,1,7,5,2,6]=>[6,3,2,7,5,1,4]=>[2,5,6,1,3,7,4]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[3,4,1,7,5,6,2]=>[7,3,2,6,5,4,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[3,4,1,7,6,2,5]=>[6,3,2,7,5,1,4]=>[2,5,6,1,3,7,4]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[3,4,1,7,6,5,2]=>[7,3,2,6,5,4,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[3,4,2,1,5,6,7]=>[4,3,2,1,5,6,7]=>[4,5,6,7,3,2,1]=>[[[[.,[.,[.,[.,.]]]],.],.],.]
[3,4,2,1,5,7,6]=>[4,3,2,1,5,7,6]=>[4,5,6,7,3,1,2]=>[[[.,[.,[.,[.,.]]]],.],[.,.]]
[3,4,2,1,6,5,7]=>[4,3,2,1,6,5,7]=>[4,5,6,7,2,3,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[3,4,2,1,6,7,5]=>[4,3,2,1,7,6,5]=>[4,5,6,7,1,2,3]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[3,4,2,1,7,5,6]=>[4,3,2,1,7,6,5]=>[4,5,6,7,1,2,3]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[3,4,2,1,7,6,5]=>[4,3,2,1,7,6,5]=>[4,5,6,7,1,2,3]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[3,4,2,5,1,6,7]=>[5,3,2,4,1,6,7]=>[3,5,6,4,7,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[3,4,2,5,1,7,6]=>[5,3,2,4,1,7,6]=>[3,5,6,4,7,1,2]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[3,4,2,5,6,1,7]=>[6,3,2,4,5,1,7]=>[2,5,6,4,3,7,1]=>[[.,[[[.,[.,.]],.],[.,.]]],.]
[3,4,2,5,6,7,1]=>[7,3,2,4,5,6,1]=>[1,5,6,4,3,2,7]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[3,4,2,5,7,1,6]=>[6,3,2,4,7,1,5]=>[2,5,6,4,1,7,3]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[3,4,2,5,7,6,1]=>[7,3,2,4,6,5,1]=>[1,5,6,4,2,3,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[3,4,2,6,1,5,7]=>[5,3,2,6,1,4,7]=>[3,5,6,2,7,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[3,4,2,6,1,7,5]=>[5,3,2,7,1,6,4]=>[3,5,6,1,7,2,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[3,4,2,6,5,1,7]=>[6,3,2,5,4,1,7]=>[2,5,6,3,4,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[3,4,2,6,5,7,1]=>[7,3,2,5,4,6,1]=>[1,5,6,3,4,2,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[3,4,2,6,7,1,5]=>[6,3,2,7,5,1,4]=>[2,5,6,1,3,7,4]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[3,4,2,6,7,5,1]=>[7,3,2,6,5,4,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[3,4,2,7,1,5,6]=>[5,3,2,7,1,6,4]=>[3,5,6,1,7,2,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[3,4,2,7,1,6,5]=>[5,3,2,7,1,6,4]=>[3,5,6,1,7,2,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[3,4,2,7,5,1,6]=>[6,3,2,7,5,1,4]=>[2,5,6,1,3,7,4]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[3,4,2,7,5,6,1]=>[7,3,2,6,5,4,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[3,4,2,7,6,1,5]=>[6,3,2,7,5,1,4]=>[2,5,6,1,3,7,4]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[3,4,2,7,6,5,1]=>[7,3,2,6,5,4,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[3,4,5,1,2,6,7]=>[5,4,3,2,1,6,7]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[3,4,5,1,2,7,6]=>[5,4,3,2,1,7,6]=>[3,4,5,6,7,1,2]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[3,4,5,1,6,2,7]=>[6,4,3,2,5,1,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[3,4,5,1,6,7,2]=>[7,4,3,2,5,6,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[3,4,5,1,7,2,6]=>[6,4,3,2,7,1,5]=>[2,4,5,6,1,7,3]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[3,4,5,1,7,6,2]=>[7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[3,4,5,2,1,6,7]=>[5,4,3,2,1,6,7]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[3,4,5,2,1,7,6]=>[5,4,3,2,1,7,6]=>[3,4,5,6,7,1,2]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[3,4,5,2,6,1,7]=>[6,4,3,2,5,1,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[3,4,5,2,6,7,1]=>[7,4,3,2,5,6,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[3,4,5,2,7,1,6]=>[6,4,3,2,7,1,5]=>[2,4,5,6,1,7,3]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[3,4,5,2,7,6,1]=>[7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[3,4,5,6,1,2,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[3,4,5,6,1,7,2]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[3,4,5,6,2,1,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[3,4,5,6,2,7,1]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[3,4,5,6,7,1,2]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[3,4,5,6,7,2,1]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[3,4,5,7,1,2,6]=>[6,5,3,7,2,1,4]=>[2,3,5,1,6,7,4]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[3,4,5,7,1,6,2]=>[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[3,4,5,7,2,1,6]=>[6,5,3,7,2,1,4]=>[2,3,5,1,6,7,4]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[3,4,5,7,2,6,1]=>[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[3,4,5,7,6,1,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[3,4,5,7,6,2,1]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[3,4,6,1,2,5,7]=>[5,4,6,2,1,3,7]=>[3,4,2,6,7,5,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[3,4,6,1,2,7,5]=>[5,4,7,2,1,6,3]=>[3,4,1,6,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[3,4,6,1,5,2,7]=>[6,4,5,2,3,1,7]=>[2,4,3,6,5,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[3,4,6,1,5,7,2]=>[7,4,5,2,3,6,1]=>[1,4,3,6,5,2,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[3,4,6,1,7,2,5]=>[6,4,7,2,5,1,3]=>[2,4,1,6,3,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,4,6,1,7,5,2]=>[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[3,4,6,2,1,5,7]=>[5,4,6,2,1,3,7]=>[3,4,2,6,7,5,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[3,4,6,2,1,7,5]=>[5,4,7,2,1,6,3]=>[3,4,1,6,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[3,4,6,2,5,1,7]=>[6,4,5,2,3,1,7]=>[2,4,3,6,5,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[3,4,6,2,5,7,1]=>[7,4,5,2,3,6,1]=>[1,4,3,6,5,2,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[3,4,6,2,7,1,5]=>[6,4,7,2,5,1,3]=>[2,4,1,6,3,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,4,6,2,7,5,1]=>[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[3,4,6,5,1,2,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[3,4,6,5,1,7,2]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[3,4,6,5,2,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[3,4,6,5,2,7,1]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[3,4,6,5,7,1,2]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[3,4,6,5,7,2,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[3,4,6,7,1,2,5]=>[6,5,7,4,2,1,3]=>[2,3,1,4,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[3,4,6,7,1,5,2]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[3,4,6,7,2,1,5]=>[6,5,7,4,2,1,3]=>[2,3,1,4,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[3,4,6,7,2,5,1]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[3,4,6,7,5,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,4,6,7,5,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,4,7,1,2,5,6]=>[5,4,7,2,1,6,3]=>[3,4,1,6,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[3,4,7,1,2,6,5]=>[5,4,7,2,1,6,3]=>[3,4,1,6,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[3,4,7,1,5,2,6]=>[6,4,7,2,5,1,3]=>[2,4,1,6,3,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,4,7,1,5,6,2]=>[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[3,4,7,1,6,2,5]=>[6,4,7,2,5,1,3]=>[2,4,1,6,3,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,4,7,1,6,5,2]=>[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[3,4,7,2,1,5,6]=>[5,4,7,2,1,6,3]=>[3,4,1,6,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[3,4,7,2,1,6,5]=>[5,4,7,2,1,6,3]=>[3,4,1,6,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[3,4,7,2,5,1,6]=>[6,4,7,2,5,1,3]=>[2,4,1,6,3,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,4,7,2,5,6,1]=>[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[3,4,7,2,6,1,5]=>[6,4,7,2,5,1,3]=>[2,4,1,6,3,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,4,7,2,6,5,1]=>[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[3,4,7,5,1,2,6]=>[6,5,7,4,2,1,3]=>[2,3,1,4,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[3,4,7,5,1,6,2]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[3,4,7,5,2,1,6]=>[6,5,7,4,2,1,3]=>[2,3,1,4,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[3,4,7,5,2,6,1]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[3,4,7,5,6,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,4,7,5,6,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,4,7,6,1,2,5]=>[6,5,7,4,2,1,3]=>[2,3,1,4,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[3,4,7,6,1,5,2]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[3,4,7,6,2,1,5]=>[6,5,7,4,2,1,3]=>[2,3,1,4,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[3,4,7,6,2,5,1]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[3,4,7,6,5,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,4,7,6,5,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,5,1,2,4,6,7]=>[4,5,3,1,2,6,7]=>[4,3,5,7,6,2,1]=>[[[[.,.],[.,[[.,.],.]]],.],.]
[3,5,1,2,4,7,6]=>[4,5,3,1,2,7,6]=>[4,3,5,7,6,1,2]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[3,5,1,2,6,4,7]=>[4,6,3,1,5,2,7]=>[4,2,5,7,3,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,5,1,2,6,7,4]=>[4,7,3,1,5,6,2]=>[4,1,5,7,3,2,6]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[3,5,1,2,7,4,6]=>[4,6,3,1,7,2,5]=>[4,2,5,7,1,6,3]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[3,5,1,2,7,6,4]=>[4,7,3,1,6,5,2]=>[4,1,5,7,2,3,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[3,5,1,4,2,6,7]=>[5,4,3,2,1,6,7]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[3,5,1,4,2,7,6]=>[5,4,3,2,1,7,6]=>[3,4,5,6,7,1,2]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[3,5,1,4,6,2,7]=>[6,4,3,2,5,1,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[3,5,1,4,6,7,2]=>[7,4,3,2,5,6,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[3,5,1,4,7,2,6]=>[6,4,3,2,7,1,5]=>[2,4,5,6,1,7,3]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[3,5,1,4,7,6,2]=>[7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[3,5,1,6,2,4,7]=>[5,6,3,4,1,2,7]=>[3,2,5,4,7,6,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[3,5,1,6,2,7,4]=>[5,7,3,4,1,6,2]=>[3,1,5,4,7,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[3,5,1,6,4,2,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[3,5,1,6,4,7,2]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[3,5,1,6,7,2,4]=>[6,7,3,4,5,1,2]=>[2,1,5,4,3,7,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[3,5,1,6,7,4,2]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[3,5,1,7,2,4,6]=>[5,6,3,7,1,2,4]=>[3,2,5,1,7,6,4]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,5,1,7,2,6,4]=>[5,7,3,6,1,4,2]=>[3,1,5,2,7,4,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[3,5,1,7,4,2,6]=>[6,5,3,7,2,1,4]=>[2,3,5,1,6,7,4]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[3,5,1,7,4,6,2]=>[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[3,5,1,7,6,2,4]=>[6,7,3,5,4,1,2]=>[2,1,5,3,4,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[3,5,1,7,6,4,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[3,5,2,1,4,6,7]=>[4,5,3,1,2,6,7]=>[4,3,5,7,6,2,1]=>[[[[.,.],[.,[[.,.],.]]],.],.]
[3,5,2,1,4,7,6]=>[4,5,3,1,2,7,6]=>[4,3,5,7,6,1,2]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[3,5,2,1,6,4,7]=>[4,6,3,1,5,2,7]=>[4,2,5,7,3,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,5,2,1,6,7,4]=>[4,7,3,1,5,6,2]=>[4,1,5,7,3,2,6]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[3,5,2,1,7,4,6]=>[4,6,3,1,7,2,5]=>[4,2,5,7,1,6,3]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[3,5,2,1,7,6,4]=>[4,7,3,1,6,5,2]=>[4,1,5,7,2,3,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[3,5,2,4,1,6,7]=>[5,4,3,2,1,6,7]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[3,5,2,4,1,7,6]=>[5,4,3,2,1,7,6]=>[3,4,5,6,7,1,2]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[3,5,2,4,6,1,7]=>[6,4,3,2,5,1,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[3,5,2,4,6,7,1]=>[7,4,3,2,5,6,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[3,5,2,4,7,1,6]=>[6,4,3,2,7,1,5]=>[2,4,5,6,1,7,3]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[3,5,2,4,7,6,1]=>[7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[3,5,2,6,1,4,7]=>[5,6,3,4,1,2,7]=>[3,2,5,4,7,6,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[3,5,2,6,1,7,4]=>[5,7,3,4,1,6,2]=>[3,1,5,4,7,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[3,5,2,6,4,1,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[3,5,2,6,4,7,1]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[3,5,2,6,7,1,4]=>[6,7,3,4,5,1,2]=>[2,1,5,4,3,7,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[3,5,2,6,7,4,1]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[3,5,2,7,1,4,6]=>[5,6,3,7,1,2,4]=>[3,2,5,1,7,6,4]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,5,2,7,1,6,4]=>[5,7,3,6,1,4,2]=>[3,1,5,2,7,4,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[3,5,2,7,4,1,6]=>[6,5,3,7,2,1,4]=>[2,3,5,1,6,7,4]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[3,5,2,7,4,6,1]=>[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[3,5,2,7,6,1,4]=>[6,7,3,5,4,1,2]=>[2,1,5,3,4,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[3,5,2,7,6,4,1]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[3,5,4,1,2,6,7]=>[5,4,3,2,1,6,7]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[3,5,4,1,2,7,6]=>[5,4,3,2,1,7,6]=>[3,4,5,6,7,1,2]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[3,5,4,1,6,2,7]=>[6,4,3,2,5,1,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[3,5,4,1,6,7,2]=>[7,4,3,2,5,6,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[3,5,4,1,7,2,6]=>[6,4,3,2,7,1,5]=>[2,4,5,6,1,7,3]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[3,5,4,1,7,6,2]=>[7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[3,5,4,2,1,6,7]=>[5,4,3,2,1,6,7]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[3,5,4,2,1,7,6]=>[5,4,3,2,1,7,6]=>[3,4,5,6,7,1,2]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[3,5,4,2,6,1,7]=>[6,4,3,2,5,1,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[3,5,4,2,6,7,1]=>[7,4,3,2,5,6,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[3,5,4,2,7,1,6]=>[6,4,3,2,7,1,5]=>[2,4,5,6,1,7,3]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[3,5,4,2,7,6,1]=>[7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[3,5,4,6,1,2,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[3,5,4,6,1,7,2]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[3,5,4,6,2,1,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[3,5,4,6,2,7,1]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[3,5,4,6,7,1,2]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[3,5,4,6,7,2,1]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[3,5,4,7,1,2,6]=>[6,5,3,7,2,1,4]=>[2,3,5,1,6,7,4]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[3,5,4,7,1,6,2]=>[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[3,5,4,7,2,1,6]=>[6,5,3,7,2,1,4]=>[2,3,5,1,6,7,4]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[3,5,4,7,2,6,1]=>[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[3,5,4,7,6,1,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[3,5,4,7,6,2,1]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[3,5,6,1,2,4,7]=>[5,6,4,3,1,2,7]=>[3,2,4,5,7,6,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[3,5,6,1,2,7,4]=>[5,7,4,3,1,6,2]=>[3,1,4,5,7,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[3,5,6,1,4,2,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[3,5,6,1,4,7,2]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[3,5,6,1,7,2,4]=>[6,7,4,3,5,1,2]=>[2,1,4,5,3,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[3,5,6,1,7,4,2]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[3,5,6,2,1,4,7]=>[5,6,4,3,1,2,7]=>[3,2,4,5,7,6,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[3,5,6,2,1,7,4]=>[5,7,4,3,1,6,2]=>[3,1,4,5,7,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[3,5,6,2,4,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[3,5,6,2,4,7,1]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[3,5,6,2,7,1,4]=>[6,7,4,3,5,1,2]=>[2,1,4,5,3,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[3,5,6,2,7,4,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[3,5,6,4,1,2,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[3,5,6,4,1,7,2]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[3,5,6,4,2,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[3,5,6,4,2,7,1]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[3,5,6,4,7,1,2]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[3,5,6,4,7,2,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[3,5,6,7,1,2,4]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[3,5,6,7,1,4,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,5,6,7,2,1,4]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[3,5,6,7,2,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,5,6,7,4,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,5,6,7,4,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,5,7,1,2,4,6]=>[5,6,7,4,1,2,3]=>[3,2,1,4,7,6,5]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[3,5,7,1,2,6,4]=>[5,7,6,4,1,3,2]=>[3,1,2,4,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[3,5,7,1,4,2,6]=>[6,5,7,4,2,1,3]=>[2,3,1,4,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[3,5,7,1,4,6,2]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[3,5,7,1,6,2,4]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[3,5,7,1,6,4,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,5,7,2,1,4,6]=>[5,6,7,4,1,2,3]=>[3,2,1,4,7,6,5]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[3,5,7,2,1,6,4]=>[5,7,6,4,1,3,2]=>[3,1,2,4,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[3,5,7,2,4,1,6]=>[6,5,7,4,2,1,3]=>[2,3,1,4,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[3,5,7,2,4,6,1]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[3,5,7,2,6,1,4]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[3,5,7,2,6,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,5,7,4,1,2,6]=>[6,5,7,4,2,1,3]=>[2,3,1,4,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[3,5,7,4,1,6,2]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[3,5,7,4,2,1,6]=>[6,5,7,4,2,1,3]=>[2,3,1,4,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[3,5,7,4,2,6,1]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[3,5,7,4,6,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,5,7,4,6,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,5,7,6,1,2,4]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[3,5,7,6,1,4,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,5,7,6,2,1,4]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[3,5,7,6,2,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,5,7,6,4,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,5,7,6,4,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,6,1,2,4,5,7]=>[4,6,3,1,5,2,7]=>[4,2,5,7,3,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,6,1,2,4,7,5]=>[4,7,3,1,5,6,2]=>[4,1,5,7,3,2,6]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[3,6,1,2,5,4,7]=>[4,6,3,1,5,2,7]=>[4,2,5,7,3,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,6,1,2,5,7,4]=>[4,7,3,1,5,6,2]=>[4,1,5,7,3,2,6]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[3,6,1,2,7,4,5]=>[4,7,3,1,6,5,2]=>[4,1,5,7,2,3,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[3,6,1,2,7,5,4]=>[4,7,3,1,6,5,2]=>[4,1,5,7,2,3,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[3,6,1,4,2,5,7]=>[5,6,3,4,1,2,7]=>[3,2,5,4,7,6,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[3,6,1,4,2,7,5]=>[5,7,3,4,1,6,2]=>[3,1,5,4,7,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[3,6,1,4,5,2,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[3,6,1,4,5,7,2]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[3,6,1,4,7,2,5]=>[6,7,3,4,5,1,2]=>[2,1,5,4,3,7,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[3,6,1,4,7,5,2]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[3,6,1,5,2,4,7]=>[5,6,3,4,1,2,7]=>[3,2,5,4,7,6,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[3,6,1,5,2,7,4]=>[5,7,3,4,1,6,2]=>[3,1,5,4,7,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[3,6,1,5,4,2,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[3,6,1,5,4,7,2]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[3,6,1,5,7,2,4]=>[6,7,3,4,5,1,2]=>[2,1,5,4,3,7,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[3,6,1,5,7,4,2]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[3,6,1,7,2,4,5]=>[5,7,3,6,1,4,2]=>[3,1,5,2,7,4,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[3,6,1,7,2,5,4]=>[5,7,3,6,1,4,2]=>[3,1,5,2,7,4,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[3,6,1,7,4,2,5]=>[6,7,3,5,4,1,2]=>[2,1,5,3,4,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[3,6,1,7,4,5,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[3,6,1,7,5,2,4]=>[6,7,3,5,4,1,2]=>[2,1,5,3,4,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[3,6,1,7,5,4,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[3,6,2,1,4,5,7]=>[4,6,3,1,5,2,7]=>[4,2,5,7,3,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,6,2,1,4,7,5]=>[4,7,3,1,5,6,2]=>[4,1,5,7,3,2,6]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[3,6,2,1,5,4,7]=>[4,6,3,1,5,2,7]=>[4,2,5,7,3,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,6,2,1,5,7,4]=>[4,7,3,1,5,6,2]=>[4,1,5,7,3,2,6]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[3,6,2,1,7,4,5]=>[4,7,3,1,6,5,2]=>[4,1,5,7,2,3,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[3,6,2,1,7,5,4]=>[4,7,3,1,6,5,2]=>[4,1,5,7,2,3,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[3,6,2,4,1,5,7]=>[5,6,3,4,1,2,7]=>[3,2,5,4,7,6,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[3,6,2,4,1,7,5]=>[5,7,3,4,1,6,2]=>[3,1,5,4,7,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[3,6,2,4,5,1,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[3,6,2,4,5,7,1]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[3,6,2,4,7,1,5]=>[6,7,3,4,5,1,2]=>[2,1,5,4,3,7,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[3,6,2,4,7,5,1]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[3,6,2,5,1,4,7]=>[5,6,3,4,1,2,7]=>[3,2,5,4,7,6,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[3,6,2,5,1,7,4]=>[5,7,3,4,1,6,2]=>[3,1,5,4,7,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[3,6,2,5,4,1,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[3,6,2,5,4,7,1]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[3,6,2,5,7,1,4]=>[6,7,3,4,5,1,2]=>[2,1,5,4,3,7,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[3,6,2,5,7,4,1]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[3,6,2,7,1,4,5]=>[5,7,3,6,1,4,2]=>[3,1,5,2,7,4,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[3,6,2,7,1,5,4]=>[5,7,3,6,1,4,2]=>[3,1,5,2,7,4,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[3,6,2,7,4,1,5]=>[6,7,3,5,4,1,2]=>[2,1,5,3,4,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[3,6,2,7,4,5,1]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[3,6,2,7,5,1,4]=>[6,7,3,5,4,1,2]=>[2,1,5,3,4,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[3,6,2,7,5,4,1]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[3,6,4,1,2,5,7]=>[5,6,4,3,1,2,7]=>[3,2,4,5,7,6,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[3,6,4,1,2,7,5]=>[5,7,4,3,1,6,2]=>[3,1,4,5,7,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[3,6,4,1,5,2,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[3,6,4,1,5,7,2]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[3,6,4,1,7,2,5]=>[6,7,4,3,5,1,2]=>[2,1,4,5,3,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[3,6,4,1,7,5,2]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[3,6,4,2,1,5,7]=>[5,6,4,3,1,2,7]=>[3,2,4,5,7,6,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[3,6,4,2,1,7,5]=>[5,7,4,3,1,6,2]=>[3,1,4,5,7,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[3,6,4,2,5,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[3,6,4,2,5,7,1]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[3,6,4,2,7,1,5]=>[6,7,4,3,5,1,2]=>[2,1,4,5,3,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[3,6,4,2,7,5,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[3,6,4,5,1,2,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[3,6,4,5,1,7,2]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[3,6,4,5,2,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[3,6,4,5,2,7,1]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[3,6,4,5,7,1,2]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[3,6,4,5,7,2,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[3,6,4,7,1,2,5]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[3,6,4,7,1,5,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,6,4,7,2,1,5]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[3,6,4,7,2,5,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,6,4,7,5,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,6,4,7,5,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,6,5,1,2,4,7]=>[5,6,4,3,1,2,7]=>[3,2,4,5,7,6,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[3,6,5,1,2,7,4]=>[5,7,4,3,1,6,2]=>[3,1,4,5,7,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[3,6,5,1,4,2,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[3,6,5,1,4,7,2]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[3,6,5,1,7,2,4]=>[6,7,4,3,5,1,2]=>[2,1,4,5,3,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[3,6,5,1,7,4,2]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[3,6,5,2,1,4,7]=>[5,6,4,3,1,2,7]=>[3,2,4,5,7,6,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[3,6,5,2,1,7,4]=>[5,7,4,3,1,6,2]=>[3,1,4,5,7,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[3,6,5,2,4,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[3,6,5,2,4,7,1]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[3,6,5,2,7,1,4]=>[6,7,4,3,5,1,2]=>[2,1,4,5,3,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[3,6,5,2,7,4,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[3,6,5,4,1,2,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[3,6,5,4,1,7,2]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[3,6,5,4,2,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[3,6,5,4,2,7,1]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[3,6,5,4,7,1,2]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[3,6,5,4,7,2,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[3,6,5,7,1,2,4]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[3,6,5,7,1,4,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,6,5,7,2,1,4]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[3,6,5,7,2,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,6,5,7,4,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,6,5,7,4,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,6,7,1,2,4,5]=>[5,7,6,4,1,3,2]=>[3,1,2,4,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[3,6,7,1,2,5,4]=>[5,7,6,4,1,3,2]=>[3,1,2,4,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[3,6,7,1,4,2,5]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[3,6,7,1,4,5,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,6,7,1,5,2,4]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[3,6,7,1,5,4,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,6,7,2,1,4,5]=>[5,7,6,4,1,3,2]=>[3,1,2,4,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[3,6,7,2,1,5,4]=>[5,7,6,4,1,3,2]=>[3,1,2,4,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[3,6,7,2,4,1,5]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[3,6,7,2,4,5,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,6,7,2,5,1,4]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[3,6,7,2,5,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,6,7,4,1,2,5]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[3,6,7,4,1,5,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,6,7,4,2,1,5]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[3,6,7,4,2,5,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,6,7,4,5,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,6,7,4,5,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,6,7,5,1,2,4]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[3,6,7,5,1,4,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,6,7,5,2,1,4]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[3,6,7,5,2,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,6,7,5,4,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,6,7,5,4,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,7,1,2,4,5,6]=>[4,7,3,1,5,6,2]=>[4,1,5,7,3,2,6]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[3,7,1,2,4,6,5]=>[4,7,3,1,5,6,2]=>[4,1,5,7,3,2,6]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[3,7,1,2,5,4,6]=>[4,7,3,1,6,5,2]=>[4,1,5,7,2,3,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[3,7,1,2,5,6,4]=>[4,7,3,1,6,5,2]=>[4,1,5,7,2,3,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[3,7,1,2,6,4,5]=>[4,7,3,1,6,5,2]=>[4,1,5,7,2,3,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[3,7,1,2,6,5,4]=>[4,7,3,1,6,5,2]=>[4,1,5,7,2,3,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[3,7,1,4,2,5,6]=>[5,7,3,4,1,6,2]=>[3,1,5,4,7,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[3,7,1,4,2,6,5]=>[5,7,3,4,1,6,2]=>[3,1,5,4,7,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[3,7,1,4,5,2,6]=>[6,7,3,4,5,1,2]=>[2,1,5,4,3,7,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[3,7,1,4,5,6,2]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[3,7,1,4,6,2,5]=>[6,7,3,4,5,1,2]=>[2,1,5,4,3,7,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[3,7,1,4,6,5,2]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[3,7,1,5,2,4,6]=>[5,7,3,6,1,4,2]=>[3,1,5,2,7,4,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[3,7,1,5,2,6,4]=>[5,7,3,6,1,4,2]=>[3,1,5,2,7,4,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[3,7,1,5,4,2,6]=>[6,7,3,5,4,1,2]=>[2,1,5,3,4,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[3,7,1,5,4,6,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[3,7,1,5,6,2,4]=>[6,7,3,5,4,1,2]=>[2,1,5,3,4,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[3,7,1,5,6,4,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[3,7,1,6,2,4,5]=>[5,7,3,6,1,4,2]=>[3,1,5,2,7,4,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[3,7,1,6,2,5,4]=>[5,7,3,6,1,4,2]=>[3,1,5,2,7,4,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[3,7,1,6,4,2,5]=>[6,7,3,5,4,1,2]=>[2,1,5,3,4,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[3,7,1,6,4,5,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[3,7,1,6,5,2,4]=>[6,7,3,5,4,1,2]=>[2,1,5,3,4,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[3,7,1,6,5,4,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[3,7,2,1,4,5,6]=>[4,7,3,1,5,6,2]=>[4,1,5,7,3,2,6]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[3,7,2,1,4,6,5]=>[4,7,3,1,5,6,2]=>[4,1,5,7,3,2,6]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[3,7,2,1,5,4,6]=>[4,7,3,1,6,5,2]=>[4,1,5,7,2,3,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[3,7,2,1,5,6,4]=>[4,7,3,1,6,5,2]=>[4,1,5,7,2,3,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[3,7,2,1,6,4,5]=>[4,7,3,1,6,5,2]=>[4,1,5,7,2,3,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[3,7,2,1,6,5,4]=>[4,7,3,1,6,5,2]=>[4,1,5,7,2,3,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[3,7,2,4,1,5,6]=>[5,7,3,4,1,6,2]=>[3,1,5,4,7,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[3,7,2,4,1,6,5]=>[5,7,3,4,1,6,2]=>[3,1,5,4,7,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[3,7,2,4,5,1,6]=>[6,7,3,4,5,1,2]=>[2,1,5,4,3,7,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[3,7,2,4,5,6,1]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[3,7,2,4,6,1,5]=>[6,7,3,4,5,1,2]=>[2,1,5,4,3,7,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[3,7,2,4,6,5,1]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[3,7,2,5,1,4,6]=>[5,7,3,6,1,4,2]=>[3,1,5,2,7,4,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[3,7,2,5,1,6,4]=>[5,7,3,6,1,4,2]=>[3,1,5,2,7,4,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[3,7,2,5,4,1,6]=>[6,7,3,5,4,1,2]=>[2,1,5,3,4,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[3,7,2,5,4,6,1]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[3,7,2,5,6,1,4]=>[6,7,3,5,4,1,2]=>[2,1,5,3,4,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[3,7,2,5,6,4,1]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[3,7,2,6,1,4,5]=>[5,7,3,6,1,4,2]=>[3,1,5,2,7,4,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[3,7,2,6,1,5,4]=>[5,7,3,6,1,4,2]=>[3,1,5,2,7,4,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[3,7,2,6,4,1,5]=>[6,7,3,5,4,1,2]=>[2,1,5,3,4,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[3,7,2,6,4,5,1]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[3,7,2,6,5,1,4]=>[6,7,3,5,4,1,2]=>[2,1,5,3,4,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[3,7,2,6,5,4,1]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[3,7,4,1,2,5,6]=>[5,7,4,3,1,6,2]=>[3,1,4,5,7,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[3,7,4,1,2,6,5]=>[5,7,4,3,1,6,2]=>[3,1,4,5,7,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[3,7,4,1,5,2,6]=>[6,7,4,3,5,1,2]=>[2,1,4,5,3,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[3,7,4,1,5,6,2]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[3,7,4,1,6,2,5]=>[6,7,4,3,5,1,2]=>[2,1,4,5,3,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[3,7,4,1,6,5,2]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[3,7,4,2,1,5,6]=>[5,7,4,3,1,6,2]=>[3,1,4,5,7,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[3,7,4,2,1,6,5]=>[5,7,4,3,1,6,2]=>[3,1,4,5,7,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[3,7,4,2,5,1,6]=>[6,7,4,3,5,1,2]=>[2,1,4,5,3,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[3,7,4,2,5,6,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[3,7,4,2,6,1,5]=>[6,7,4,3,5,1,2]=>[2,1,4,5,3,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[3,7,4,2,6,5,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[3,7,4,5,1,2,6]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[3,7,4,5,1,6,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,7,4,5,2,1,6]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[3,7,4,5,2,6,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,7,4,5,6,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,7,4,5,6,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,7,4,6,1,2,5]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[3,7,4,6,1,5,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,7,4,6,2,1,5]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[3,7,4,6,2,5,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,7,4,6,5,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,7,4,6,5,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,7,5,1,2,4,6]=>[5,7,6,4,1,3,2]=>[3,1,2,4,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[3,7,5,1,2,6,4]=>[5,7,6,4,1,3,2]=>[3,1,2,4,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[3,7,5,1,4,2,6]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[3,7,5,1,4,6,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,7,5,1,6,2,4]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[3,7,5,1,6,4,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,7,5,2,1,4,6]=>[5,7,6,4,1,3,2]=>[3,1,2,4,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[3,7,5,2,1,6,4]=>[5,7,6,4,1,3,2]=>[3,1,2,4,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[3,7,5,2,4,1,6]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[3,7,5,2,4,6,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,7,5,2,6,1,4]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[3,7,5,2,6,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,7,5,4,1,2,6]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[3,7,5,4,1,6,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,7,5,4,2,1,6]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[3,7,5,4,2,6,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,7,5,4,6,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,7,5,4,6,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,7,5,6,1,2,4]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[3,7,5,6,1,4,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,7,5,6,2,1,4]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[3,7,5,6,2,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,7,5,6,4,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,7,5,6,4,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,7,6,1,2,4,5]=>[5,7,6,4,1,3,2]=>[3,1,2,4,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[3,7,6,1,2,5,4]=>[5,7,6,4,1,3,2]=>[3,1,2,4,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[3,7,6,1,4,2,5]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[3,7,6,1,4,5,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,7,6,1,5,2,4]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[3,7,6,1,5,4,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,7,6,2,1,4,5]=>[5,7,6,4,1,3,2]=>[3,1,2,4,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[3,7,6,2,1,5,4]=>[5,7,6,4,1,3,2]=>[3,1,2,4,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[3,7,6,2,4,1,5]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[3,7,6,2,4,5,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,7,6,2,5,1,4]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[3,7,6,2,5,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,7,6,4,1,2,5]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[3,7,6,4,1,5,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,7,6,4,2,1,5]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[3,7,6,4,2,5,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,7,6,4,5,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,7,6,4,5,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,7,6,5,1,2,4]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[3,7,6,5,1,4,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,7,6,5,2,1,4]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[3,7,6,5,2,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,7,6,5,4,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,7,6,5,4,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,1,2,3,5,6,7]=>[4,2,3,1,5,6,7]=>[4,6,5,7,3,2,1]=>[[[[.,[[.,.],[.,.]]],.],.],.]
[4,1,2,3,5,7,6]=>[4,2,3,1,5,7,6]=>[4,6,5,7,3,1,2]=>[[[.,[[.,.],[.,.]]],.],[.,.]]
[4,1,2,3,6,5,7]=>[4,2,3,1,6,5,7]=>[4,6,5,7,2,3,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[4,1,2,3,6,7,5]=>[4,2,3,1,7,6,5]=>[4,6,5,7,1,2,3]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[4,1,2,3,7,5,6]=>[4,2,3,1,7,6,5]=>[4,6,5,7,1,2,3]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[4,1,2,3,7,6,5]=>[4,2,3,1,7,6,5]=>[4,6,5,7,1,2,3]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[4,1,2,5,3,6,7]=>[5,2,3,4,1,6,7]=>[3,6,5,4,7,2,1]=>[[[.,[[[.,.],.],[.,.]]],.],.]
[4,1,2,5,3,7,6]=>[5,2,3,4,1,7,6]=>[3,6,5,4,7,1,2]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[4,1,2,5,6,3,7]=>[6,2,3,4,5,1,7]=>[2,6,5,4,3,7,1]=>[[.,[[[[.,.],.],.],[.,.]]],.]
[4,1,2,5,6,7,3]=>[7,2,3,4,5,6,1]=>[1,6,5,4,3,2,7]=>[.,[[[[[.,.],.],.],.],[.,.]]]
[4,1,2,5,7,3,6]=>[6,2,3,4,7,1,5]=>[2,6,5,4,1,7,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[4,1,2,5,7,6,3]=>[7,2,3,4,6,5,1]=>[1,6,5,4,2,3,7]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[4,1,2,6,3,5,7]=>[5,2,3,6,1,4,7]=>[3,6,5,2,7,4,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[4,1,2,6,3,7,5]=>[5,2,3,7,1,6,4]=>[3,6,5,1,7,2,4]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[4,1,2,6,5,3,7]=>[6,2,3,5,4,1,7]=>[2,6,5,3,4,7,1]=>[[.,[[[.,.],.],[.,[.,.]]]],.]
[4,1,2,6,5,7,3]=>[7,2,3,5,4,6,1]=>[1,6,5,3,4,2,7]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[4,1,2,6,7,3,5]=>[6,2,3,7,5,1,4]=>[2,6,5,1,3,7,4]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[4,1,2,6,7,5,3]=>[7,2,3,6,5,4,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[4,1,2,7,3,5,6]=>[5,2,3,7,1,6,4]=>[3,6,5,1,7,2,4]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[4,1,2,7,3,6,5]=>[5,2,3,7,1,6,4]=>[3,6,5,1,7,2,4]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[4,1,2,7,5,3,6]=>[6,2,3,7,5,1,4]=>[2,6,5,1,3,7,4]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[4,1,2,7,5,6,3]=>[7,2,3,6,5,4,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[4,1,2,7,6,3,5]=>[6,2,3,7,5,1,4]=>[2,6,5,1,3,7,4]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[4,1,2,7,6,5,3]=>[7,2,3,6,5,4,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[4,1,3,2,5,6,7]=>[4,2,3,1,5,6,7]=>[4,6,5,7,3,2,1]=>[[[[.,[[.,.],[.,.]]],.],.],.]
[4,1,3,2,5,7,6]=>[4,2,3,1,5,7,6]=>[4,6,5,7,3,1,2]=>[[[.,[[.,.],[.,.]]],.],[.,.]]
[4,1,3,2,6,5,7]=>[4,2,3,1,6,5,7]=>[4,6,5,7,2,3,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[4,1,3,2,6,7,5]=>[4,2,3,1,7,6,5]=>[4,6,5,7,1,2,3]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[4,1,3,2,7,5,6]=>[4,2,3,1,7,6,5]=>[4,6,5,7,1,2,3]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[4,1,3,2,7,6,5]=>[4,2,3,1,7,6,5]=>[4,6,5,7,1,2,3]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[4,1,3,5,2,6,7]=>[5,2,3,4,1,6,7]=>[3,6,5,4,7,2,1]=>[[[.,[[[.,.],.],[.,.]]],.],.]
[4,1,3,5,2,7,6]=>[5,2,3,4,1,7,6]=>[3,6,5,4,7,1,2]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[4,1,3,5,6,2,7]=>[6,2,3,4,5,1,7]=>[2,6,5,4,3,7,1]=>[[.,[[[[.,.],.],.],[.,.]]],.]
[4,1,3,5,6,7,2]=>[7,2,3,4,5,6,1]=>[1,6,5,4,3,2,7]=>[.,[[[[[.,.],.],.],.],[.,.]]]
[4,1,3,5,7,2,6]=>[6,2,3,4,7,1,5]=>[2,6,5,4,1,7,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[4,1,3,5,7,6,2]=>[7,2,3,4,6,5,1]=>[1,6,5,4,2,3,7]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[4,1,3,6,2,5,7]=>[5,2,3,6,1,4,7]=>[3,6,5,2,7,4,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[4,1,3,6,2,7,5]=>[5,2,3,7,1,6,4]=>[3,6,5,1,7,2,4]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[4,1,3,6,5,2,7]=>[6,2,3,5,4,1,7]=>[2,6,5,3,4,7,1]=>[[.,[[[.,.],.],[.,[.,.]]]],.]
[4,1,3,6,5,7,2]=>[7,2,3,5,4,6,1]=>[1,6,5,3,4,2,7]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[4,1,3,6,7,2,5]=>[6,2,3,7,5,1,4]=>[2,6,5,1,3,7,4]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[4,1,3,6,7,5,2]=>[7,2,3,6,5,4,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[4,1,3,7,2,5,6]=>[5,2,3,7,1,6,4]=>[3,6,5,1,7,2,4]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[4,1,3,7,2,6,5]=>[5,2,3,7,1,6,4]=>[3,6,5,1,7,2,4]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[4,1,3,7,5,2,6]=>[6,2,3,7,5,1,4]=>[2,6,5,1,3,7,4]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[4,1,3,7,5,6,2]=>[7,2,3,6,5,4,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[4,1,3,7,6,2,5]=>[6,2,3,7,5,1,4]=>[2,6,5,1,3,7,4]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[4,1,3,7,6,5,2]=>[7,2,3,6,5,4,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[4,1,5,2,3,6,7]=>[5,2,4,3,1,6,7]=>[3,6,4,5,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[4,1,5,2,3,7,6]=>[5,2,4,3,1,7,6]=>[3,6,4,5,7,1,2]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[4,1,5,2,6,3,7]=>[6,2,4,3,5,1,7]=>[2,6,4,5,3,7,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[4,1,5,2,6,7,3]=>[7,2,4,3,5,6,1]=>[1,6,4,5,3,2,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[4,1,5,2,7,3,6]=>[6,2,4,3,7,1,5]=>[2,6,4,5,1,7,3]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[4,1,5,2,7,6,3]=>[7,2,4,3,6,5,1]=>[1,6,4,5,2,3,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[4,1,5,3,2,6,7]=>[5,2,4,3,1,6,7]=>[3,6,4,5,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[4,1,5,3,2,7,6]=>[5,2,4,3,1,7,6]=>[3,6,4,5,7,1,2]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[4,1,5,3,6,2,7]=>[6,2,4,3,5,1,7]=>[2,6,4,5,3,7,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[4,1,5,3,6,7,2]=>[7,2,4,3,5,6,1]=>[1,6,4,5,3,2,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[4,1,5,3,7,2,6]=>[6,2,4,3,7,1,5]=>[2,6,4,5,1,7,3]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[4,1,5,3,7,6,2]=>[7,2,4,3,6,5,1]=>[1,6,4,5,2,3,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[4,1,5,6,2,3,7]=>[6,2,5,4,3,1,7]=>[2,6,3,4,5,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[4,1,5,6,2,7,3]=>[7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[4,1,5,6,3,2,7]=>[6,2,5,4,3,1,7]=>[2,6,3,4,5,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[4,1,5,6,3,7,2]=>[7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[4,1,5,6,7,2,3]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,1,5,6,7,3,2]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,1,5,7,2,3,6]=>[6,2,5,7,3,1,4]=>[2,6,3,1,5,7,4]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[4,1,5,7,2,6,3]=>[7,2,5,6,3,4,1]=>[1,6,3,2,5,4,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[4,1,5,7,3,2,6]=>[6,2,5,7,3,1,4]=>[2,6,3,1,5,7,4]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[4,1,5,7,3,6,2]=>[7,2,5,6,3,4,1]=>[1,6,3,2,5,4,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[4,1,5,7,6,2,3]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[4,1,5,7,6,3,2]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[4,1,6,2,3,5,7]=>[5,2,6,4,1,3,7]=>[3,6,2,4,7,5,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[4,1,6,2,3,7,5]=>[5,2,7,4,1,6,3]=>[3,6,1,4,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[4,1,6,2,5,3,7]=>[6,2,5,4,3,1,7]=>[2,6,3,4,5,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[4,1,6,2,5,7,3]=>[7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[4,1,6,2,7,3,5]=>[6,2,7,4,5,1,3]=>[2,6,1,4,3,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,1,6,2,7,5,3]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,1,6,3,2,5,7]=>[5,2,6,4,1,3,7]=>[3,6,2,4,7,5,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[4,1,6,3,2,7,5]=>[5,2,7,4,1,6,3]=>[3,6,1,4,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[4,1,6,3,5,2,7]=>[6,2,5,4,3,1,7]=>[2,6,3,4,5,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[4,1,6,3,5,7,2]=>[7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[4,1,6,3,7,2,5]=>[6,2,7,4,5,1,3]=>[2,6,1,4,3,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,1,6,3,7,5,2]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,1,6,5,2,3,7]=>[6,2,5,4,3,1,7]=>[2,6,3,4,5,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[4,1,6,5,2,7,3]=>[7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[4,1,6,5,3,2,7]=>[6,2,5,4,3,1,7]=>[2,6,3,4,5,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[4,1,6,5,3,7,2]=>[7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[4,1,6,5,7,2,3]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,1,6,5,7,3,2]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,1,6,7,2,3,5]=>[6,2,7,5,4,1,3]=>[2,6,1,3,4,7,5]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[4,1,6,7,2,5,3]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[4,1,6,7,3,2,5]=>[6,2,7,5,4,1,3]=>[2,6,1,3,4,7,5]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[4,1,6,7,3,5,2]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[4,1,6,7,5,2,3]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[4,1,6,7,5,3,2]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[4,1,7,2,3,5,6]=>[5,2,7,4,1,6,3]=>[3,6,1,4,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[4,1,7,2,3,6,5]=>[5,2,7,4,1,6,3]=>[3,6,1,4,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[4,1,7,2,5,3,6]=>[6,2,7,4,5,1,3]=>[2,6,1,4,3,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,1,7,2,5,6,3]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,1,7,2,6,3,5]=>[6,2,7,4,5,1,3]=>[2,6,1,4,3,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,1,7,2,6,5,3]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,1,7,3,2,5,6]=>[5,2,7,4,1,6,3]=>[3,6,1,4,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[4,1,7,3,2,6,5]=>[5,2,7,4,1,6,3]=>[3,6,1,4,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[4,1,7,3,5,2,6]=>[6,2,7,4,5,1,3]=>[2,6,1,4,3,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,1,7,3,5,6,2]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,1,7,3,6,2,5]=>[6,2,7,4,5,1,3]=>[2,6,1,4,3,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,1,7,3,6,5,2]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,1,7,5,2,3,6]=>[6,2,7,5,4,1,3]=>[2,6,1,3,4,7,5]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[4,1,7,5,2,6,3]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[4,1,7,5,3,2,6]=>[6,2,7,5,4,1,3]=>[2,6,1,3,4,7,5]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[4,1,7,5,3,6,2]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[4,1,7,5,6,2,3]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[4,1,7,5,6,3,2]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[4,1,7,6,2,3,5]=>[6,2,7,5,4,1,3]=>[2,6,1,3,4,7,5]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[4,1,7,6,2,5,3]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[4,1,7,6,3,2,5]=>[6,2,7,5,4,1,3]=>[2,6,1,3,4,7,5]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[4,1,7,6,3,5,2]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[4,1,7,6,5,2,3]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[4,1,7,6,5,3,2]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[4,2,1,3,5,6,7]=>[4,3,2,1,5,6,7]=>[4,5,6,7,3,2,1]=>[[[[.,[.,[.,[.,.]]]],.],.],.]
[4,2,1,3,5,7,6]=>[4,3,2,1,5,7,6]=>[4,5,6,7,3,1,2]=>[[[.,[.,[.,[.,.]]]],.],[.,.]]
[4,2,1,3,6,5,7]=>[4,3,2,1,6,5,7]=>[4,5,6,7,2,3,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[4,2,1,3,6,7,5]=>[4,3,2,1,7,6,5]=>[4,5,6,7,1,2,3]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[4,2,1,3,7,5,6]=>[4,3,2,1,7,6,5]=>[4,5,6,7,1,2,3]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[4,2,1,3,7,6,5]=>[4,3,2,1,7,6,5]=>[4,5,6,7,1,2,3]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[4,2,1,5,3,6,7]=>[5,3,2,4,1,6,7]=>[3,5,6,4,7,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[4,2,1,5,3,7,6]=>[5,3,2,4,1,7,6]=>[3,5,6,4,7,1,2]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[4,2,1,5,6,3,7]=>[6,3,2,4,5,1,7]=>[2,5,6,4,3,7,1]=>[[.,[[[.,[.,.]],.],[.,.]]],.]
[4,2,1,5,6,7,3]=>[7,3,2,4,5,6,1]=>[1,5,6,4,3,2,7]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[4,2,1,5,7,3,6]=>[6,3,2,4,7,1,5]=>[2,5,6,4,1,7,3]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[4,2,1,5,7,6,3]=>[7,3,2,4,6,5,1]=>[1,5,6,4,2,3,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[4,2,1,6,3,5,7]=>[5,3,2,6,1,4,7]=>[3,5,6,2,7,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[4,2,1,6,3,7,5]=>[5,3,2,7,1,6,4]=>[3,5,6,1,7,2,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[4,2,1,6,5,3,7]=>[6,3,2,5,4,1,7]=>[2,5,6,3,4,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[4,2,1,6,5,7,3]=>[7,3,2,5,4,6,1]=>[1,5,6,3,4,2,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[4,2,1,6,7,3,5]=>[6,3,2,7,5,1,4]=>[2,5,6,1,3,7,4]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[4,2,1,6,7,5,3]=>[7,3,2,6,5,4,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[4,2,1,7,3,5,6]=>[5,3,2,7,1,6,4]=>[3,5,6,1,7,2,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[4,2,1,7,3,6,5]=>[5,3,2,7,1,6,4]=>[3,5,6,1,7,2,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[4,2,1,7,5,3,6]=>[6,3,2,7,5,1,4]=>[2,5,6,1,3,7,4]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[4,2,1,7,5,6,3]=>[7,3,2,6,5,4,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[4,2,1,7,6,3,5]=>[6,3,2,7,5,1,4]=>[2,5,6,1,3,7,4]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[4,2,1,7,6,5,3]=>[7,3,2,6,5,4,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[4,2,3,1,5,6,7]=>[4,3,2,1,5,6,7]=>[4,5,6,7,3,2,1]=>[[[[.,[.,[.,[.,.]]]],.],.],.]
[4,2,3,1,5,7,6]=>[4,3,2,1,5,7,6]=>[4,5,6,7,3,1,2]=>[[[.,[.,[.,[.,.]]]],.],[.,.]]
[4,2,3,1,6,5,7]=>[4,3,2,1,6,5,7]=>[4,5,6,7,2,3,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[4,2,3,1,6,7,5]=>[4,3,2,1,7,6,5]=>[4,5,6,7,1,2,3]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[4,2,3,1,7,5,6]=>[4,3,2,1,7,6,5]=>[4,5,6,7,1,2,3]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[4,2,3,1,7,6,5]=>[4,3,2,1,7,6,5]=>[4,5,6,7,1,2,3]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[4,2,3,5,1,6,7]=>[5,3,2,4,1,6,7]=>[3,5,6,4,7,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[4,2,3,5,1,7,6]=>[5,3,2,4,1,7,6]=>[3,5,6,4,7,1,2]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[4,2,3,5,6,1,7]=>[6,3,2,4,5,1,7]=>[2,5,6,4,3,7,1]=>[[.,[[[.,[.,.]],.],[.,.]]],.]
[4,2,3,5,6,7,1]=>[7,3,2,4,5,6,1]=>[1,5,6,4,3,2,7]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[4,2,3,5,7,1,6]=>[6,3,2,4,7,1,5]=>[2,5,6,4,1,7,3]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[4,2,3,5,7,6,1]=>[7,3,2,4,6,5,1]=>[1,5,6,4,2,3,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[4,2,3,6,1,5,7]=>[5,3,2,6,1,4,7]=>[3,5,6,2,7,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[4,2,3,6,1,7,5]=>[5,3,2,7,1,6,4]=>[3,5,6,1,7,2,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[4,2,3,6,5,1,7]=>[6,3,2,5,4,1,7]=>[2,5,6,3,4,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[4,2,3,6,5,7,1]=>[7,3,2,5,4,6,1]=>[1,5,6,3,4,2,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[4,2,3,6,7,1,5]=>[6,3,2,7,5,1,4]=>[2,5,6,1,3,7,4]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[4,2,3,6,7,5,1]=>[7,3,2,6,5,4,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[4,2,3,7,1,5,6]=>[5,3,2,7,1,6,4]=>[3,5,6,1,7,2,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[4,2,3,7,1,6,5]=>[5,3,2,7,1,6,4]=>[3,5,6,1,7,2,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[4,2,3,7,5,1,6]=>[6,3,2,7,5,1,4]=>[2,5,6,1,3,7,4]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[4,2,3,7,5,6,1]=>[7,3,2,6,5,4,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[4,2,3,7,6,1,5]=>[6,3,2,7,5,1,4]=>[2,5,6,1,3,7,4]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[4,2,3,7,6,5,1]=>[7,3,2,6,5,4,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[4,2,5,1,3,6,7]=>[5,4,3,2,1,6,7]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[4,2,5,1,3,7,6]=>[5,4,3,2,1,7,6]=>[3,4,5,6,7,1,2]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[4,2,5,1,6,3,7]=>[6,4,3,2,5,1,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[4,2,5,1,6,7,3]=>[7,4,3,2,5,6,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[4,2,5,1,7,3,6]=>[6,4,3,2,7,1,5]=>[2,4,5,6,1,7,3]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[4,2,5,1,7,6,3]=>[7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[4,2,5,3,1,6,7]=>[5,4,3,2,1,6,7]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[4,2,5,3,1,7,6]=>[5,4,3,2,1,7,6]=>[3,4,5,6,7,1,2]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[4,2,5,3,6,1,7]=>[6,4,3,2,5,1,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[4,2,5,3,6,7,1]=>[7,4,3,2,5,6,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[4,2,5,3,7,1,6]=>[6,4,3,2,7,1,5]=>[2,4,5,6,1,7,3]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[4,2,5,3,7,6,1]=>[7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[4,2,5,6,1,3,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[4,2,5,6,1,7,3]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[4,2,5,6,3,1,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[4,2,5,6,3,7,1]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[4,2,5,6,7,1,3]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[4,2,5,6,7,3,1]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[4,2,5,7,1,3,6]=>[6,5,3,7,2,1,4]=>[2,3,5,1,6,7,4]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[4,2,5,7,1,6,3]=>[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[4,2,5,7,3,1,6]=>[6,5,3,7,2,1,4]=>[2,3,5,1,6,7,4]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[4,2,5,7,3,6,1]=>[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[4,2,5,7,6,1,3]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[4,2,5,7,6,3,1]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[4,2,6,1,3,5,7]=>[5,4,6,2,1,3,7]=>[3,4,2,6,7,5,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[4,2,6,1,3,7,5]=>[5,4,7,2,1,6,3]=>[3,4,1,6,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[4,2,6,1,5,3,7]=>[6,4,5,2,3,1,7]=>[2,4,3,6,5,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[4,2,6,1,5,7,3]=>[7,4,5,2,3,6,1]=>[1,4,3,6,5,2,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[4,2,6,1,7,3,5]=>[6,4,7,2,5,1,3]=>[2,4,1,6,3,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,2,6,1,7,5,3]=>[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,2,6,3,1,5,7]=>[5,4,6,2,1,3,7]=>[3,4,2,6,7,5,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[4,2,6,3,1,7,5]=>[5,4,7,2,1,6,3]=>[3,4,1,6,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[4,2,6,3,5,1,7]=>[6,4,5,2,3,1,7]=>[2,4,3,6,5,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[4,2,6,3,5,7,1]=>[7,4,5,2,3,6,1]=>[1,4,3,6,5,2,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[4,2,6,3,7,1,5]=>[6,4,7,2,5,1,3]=>[2,4,1,6,3,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,2,6,3,7,5,1]=>[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,2,6,5,1,3,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[4,2,6,5,1,7,3]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,2,6,5,3,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[4,2,6,5,3,7,1]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,2,6,5,7,1,3]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,2,6,5,7,3,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,2,6,7,1,3,5]=>[6,5,7,4,2,1,3]=>[2,3,1,4,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[4,2,6,7,1,5,3]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[4,2,6,7,3,1,5]=>[6,5,7,4,2,1,3]=>[2,3,1,4,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[4,2,6,7,3,5,1]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[4,2,6,7,5,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,2,6,7,5,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,2,7,1,3,5,6]=>[5,4,7,2,1,6,3]=>[3,4,1,6,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[4,2,7,1,3,6,5]=>[5,4,7,2,1,6,3]=>[3,4,1,6,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[4,2,7,1,5,3,6]=>[6,4,7,2,5,1,3]=>[2,4,1,6,3,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,2,7,1,5,6,3]=>[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,2,7,1,6,3,5]=>[6,4,7,2,5,1,3]=>[2,4,1,6,3,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,2,7,1,6,5,3]=>[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,2,7,3,1,5,6]=>[5,4,7,2,1,6,3]=>[3,4,1,6,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[4,2,7,3,1,6,5]=>[5,4,7,2,1,6,3]=>[3,4,1,6,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[4,2,7,3,5,1,6]=>[6,4,7,2,5,1,3]=>[2,4,1,6,3,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,2,7,3,5,6,1]=>[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,2,7,3,6,1,5]=>[6,4,7,2,5,1,3]=>[2,4,1,6,3,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,2,7,3,6,5,1]=>[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,2,7,5,1,3,6]=>[6,5,7,4,2,1,3]=>[2,3,1,4,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[4,2,7,5,1,6,3]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[4,2,7,5,3,1,6]=>[6,5,7,4,2,1,3]=>[2,3,1,4,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[4,2,7,5,3,6,1]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[4,2,7,5,6,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,2,7,5,6,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,2,7,6,1,3,5]=>[6,5,7,4,2,1,3]=>[2,3,1,4,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[4,2,7,6,1,5,3]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[4,2,7,6,3,1,5]=>[6,5,7,4,2,1,3]=>[2,3,1,4,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[4,2,7,6,3,5,1]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[4,2,7,6,5,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,2,7,6,5,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,3,1,2,5,6,7]=>[4,3,2,1,5,6,7]=>[4,5,6,7,3,2,1]=>[[[[.,[.,[.,[.,.]]]],.],.],.]
[4,3,1,2,5,7,6]=>[4,3,2,1,5,7,6]=>[4,5,6,7,3,1,2]=>[[[.,[.,[.,[.,.]]]],.],[.,.]]
[4,3,1,2,6,5,7]=>[4,3,2,1,6,5,7]=>[4,5,6,7,2,3,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[4,3,1,2,6,7,5]=>[4,3,2,1,7,6,5]=>[4,5,6,7,1,2,3]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[4,3,1,2,7,5,6]=>[4,3,2,1,7,6,5]=>[4,5,6,7,1,2,3]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[4,3,1,2,7,6,5]=>[4,3,2,1,7,6,5]=>[4,5,6,7,1,2,3]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[4,3,1,5,2,6,7]=>[5,3,2,4,1,6,7]=>[3,5,6,4,7,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[4,3,1,5,2,7,6]=>[5,3,2,4,1,7,6]=>[3,5,6,4,7,1,2]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[4,3,1,5,6,2,7]=>[6,3,2,4,5,1,7]=>[2,5,6,4,3,7,1]=>[[.,[[[.,[.,.]],.],[.,.]]],.]
[4,3,1,5,6,7,2]=>[7,3,2,4,5,6,1]=>[1,5,6,4,3,2,7]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[4,3,1,5,7,2,6]=>[6,3,2,4,7,1,5]=>[2,5,6,4,1,7,3]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[4,3,1,5,7,6,2]=>[7,3,2,4,6,5,1]=>[1,5,6,4,2,3,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[4,3,1,6,2,5,7]=>[5,3,2,6,1,4,7]=>[3,5,6,2,7,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[4,3,1,6,2,7,5]=>[5,3,2,7,1,6,4]=>[3,5,6,1,7,2,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[4,3,1,6,5,2,7]=>[6,3,2,5,4,1,7]=>[2,5,6,3,4,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[4,3,1,6,5,7,2]=>[7,3,2,5,4,6,1]=>[1,5,6,3,4,2,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[4,3,1,6,7,2,5]=>[6,3,2,7,5,1,4]=>[2,5,6,1,3,7,4]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[4,3,1,6,7,5,2]=>[7,3,2,6,5,4,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[4,3,1,7,2,5,6]=>[5,3,2,7,1,6,4]=>[3,5,6,1,7,2,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[4,3,1,7,2,6,5]=>[5,3,2,7,1,6,4]=>[3,5,6,1,7,2,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[4,3,1,7,5,2,6]=>[6,3,2,7,5,1,4]=>[2,5,6,1,3,7,4]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[4,3,1,7,5,6,2]=>[7,3,2,6,5,4,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[4,3,1,7,6,2,5]=>[6,3,2,7,5,1,4]=>[2,5,6,1,3,7,4]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[4,3,1,7,6,5,2]=>[7,3,2,6,5,4,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[4,3,2,1,5,6,7]=>[4,3,2,1,5,6,7]=>[4,5,6,7,3,2,1]=>[[[[.,[.,[.,[.,.]]]],.],.],.]
[4,3,2,1,5,7,6]=>[4,3,2,1,5,7,6]=>[4,5,6,7,3,1,2]=>[[[.,[.,[.,[.,.]]]],.],[.,.]]
[4,3,2,1,6,5,7]=>[4,3,2,1,6,5,7]=>[4,5,6,7,2,3,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[4,3,2,1,6,7,5]=>[4,3,2,1,7,6,5]=>[4,5,6,7,1,2,3]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[4,3,2,1,7,5,6]=>[4,3,2,1,7,6,5]=>[4,5,6,7,1,2,3]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[4,3,2,1,7,6,5]=>[4,3,2,1,7,6,5]=>[4,5,6,7,1,2,3]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[4,3,2,5,1,6,7]=>[5,3,2,4,1,6,7]=>[3,5,6,4,7,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[4,3,2,5,1,7,6]=>[5,3,2,4,1,7,6]=>[3,5,6,4,7,1,2]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[4,3,2,5,6,1,7]=>[6,3,2,4,5,1,7]=>[2,5,6,4,3,7,1]=>[[.,[[[.,[.,.]],.],[.,.]]],.]
[4,3,2,5,6,7,1]=>[7,3,2,4,5,6,1]=>[1,5,6,4,3,2,7]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[4,3,2,5,7,1,6]=>[6,3,2,4,7,1,5]=>[2,5,6,4,1,7,3]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[4,3,2,5,7,6,1]=>[7,3,2,4,6,5,1]=>[1,5,6,4,2,3,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[4,3,2,6,1,5,7]=>[5,3,2,6,1,4,7]=>[3,5,6,2,7,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[4,3,2,6,1,7,5]=>[5,3,2,7,1,6,4]=>[3,5,6,1,7,2,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[4,3,2,6,5,1,7]=>[6,3,2,5,4,1,7]=>[2,5,6,3,4,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[4,3,2,6,5,7,1]=>[7,3,2,5,4,6,1]=>[1,5,6,3,4,2,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[4,3,2,6,7,1,5]=>[6,3,2,7,5,1,4]=>[2,5,6,1,3,7,4]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[4,3,2,6,7,5,1]=>[7,3,2,6,5,4,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[4,3,2,7,1,5,6]=>[5,3,2,7,1,6,4]=>[3,5,6,1,7,2,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[4,3,2,7,1,6,5]=>[5,3,2,7,1,6,4]=>[3,5,6,1,7,2,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[4,3,2,7,5,1,6]=>[6,3,2,7,5,1,4]=>[2,5,6,1,3,7,4]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[4,3,2,7,5,6,1]=>[7,3,2,6,5,4,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[4,3,2,7,6,1,5]=>[6,3,2,7,5,1,4]=>[2,5,6,1,3,7,4]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[4,3,2,7,6,5,1]=>[7,3,2,6,5,4,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[4,3,5,1,2,6,7]=>[5,4,3,2,1,6,7]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[4,3,5,1,2,7,6]=>[5,4,3,2,1,7,6]=>[3,4,5,6,7,1,2]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[4,3,5,1,6,2,7]=>[6,4,3,2,5,1,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[4,3,5,1,6,7,2]=>[7,4,3,2,5,6,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[4,3,5,1,7,2,6]=>[6,4,3,2,7,1,5]=>[2,4,5,6,1,7,3]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[4,3,5,1,7,6,2]=>[7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[4,3,5,2,1,6,7]=>[5,4,3,2,1,6,7]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[4,3,5,2,1,7,6]=>[5,4,3,2,1,7,6]=>[3,4,5,6,7,1,2]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[4,3,5,2,6,1,7]=>[6,4,3,2,5,1,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[4,3,5,2,6,7,1]=>[7,4,3,2,5,6,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[4,3,5,2,7,1,6]=>[6,4,3,2,7,1,5]=>[2,4,5,6,1,7,3]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[4,3,5,2,7,6,1]=>[7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[4,3,5,6,1,2,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[4,3,5,6,1,7,2]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[4,3,5,6,2,1,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[4,3,5,6,2,7,1]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[4,3,5,6,7,1,2]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[4,3,5,6,7,2,1]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[4,3,5,7,1,2,6]=>[6,5,3,7,2,1,4]=>[2,3,5,1,6,7,4]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[4,3,5,7,1,6,2]=>[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[4,3,5,7,2,1,6]=>[6,5,3,7,2,1,4]=>[2,3,5,1,6,7,4]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[4,3,5,7,2,6,1]=>[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[4,3,5,7,6,1,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[4,3,5,7,6,2,1]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[4,3,6,1,2,5,7]=>[5,4,6,2,1,3,7]=>[3,4,2,6,7,5,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[4,3,6,1,2,7,5]=>[5,4,7,2,1,6,3]=>[3,4,1,6,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[4,3,6,1,5,2,7]=>[6,4,5,2,3,1,7]=>[2,4,3,6,5,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[4,3,6,1,5,7,2]=>[7,4,5,2,3,6,1]=>[1,4,3,6,5,2,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[4,3,6,1,7,2,5]=>[6,4,7,2,5,1,3]=>[2,4,1,6,3,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,3,6,1,7,5,2]=>[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,3,6,2,1,5,7]=>[5,4,6,2,1,3,7]=>[3,4,2,6,7,5,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[4,3,6,2,1,7,5]=>[5,4,7,2,1,6,3]=>[3,4,1,6,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[4,3,6,2,5,1,7]=>[6,4,5,2,3,1,7]=>[2,4,3,6,5,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[4,3,6,2,5,7,1]=>[7,4,5,2,3,6,1]=>[1,4,3,6,5,2,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[4,3,6,2,7,1,5]=>[6,4,7,2,5,1,3]=>[2,4,1,6,3,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,3,6,2,7,5,1]=>[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,3,6,5,1,2,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[4,3,6,5,1,7,2]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,3,6,5,2,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[4,3,6,5,2,7,1]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,3,6,5,7,1,2]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,3,6,5,7,2,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,3,6,7,1,2,5]=>[6,5,7,4,2,1,3]=>[2,3,1,4,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[4,3,6,7,1,5,2]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[4,3,6,7,2,1,5]=>[6,5,7,4,2,1,3]=>[2,3,1,4,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[4,3,6,7,2,5,1]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[4,3,6,7,5,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,3,6,7,5,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,3,7,1,2,5,6]=>[5,4,7,2,1,6,3]=>[3,4,1,6,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[4,3,7,1,2,6,5]=>[5,4,7,2,1,6,3]=>[3,4,1,6,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[4,3,7,1,5,2,6]=>[6,4,7,2,5,1,3]=>[2,4,1,6,3,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,3,7,1,5,6,2]=>[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,3,7,1,6,2,5]=>[6,4,7,2,5,1,3]=>[2,4,1,6,3,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,3,7,1,6,5,2]=>[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,3,7,2,1,5,6]=>[5,4,7,2,1,6,3]=>[3,4,1,6,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[4,3,7,2,1,6,5]=>[5,4,7,2,1,6,3]=>[3,4,1,6,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[4,3,7,2,5,1,6]=>[6,4,7,2,5,1,3]=>[2,4,1,6,3,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,3,7,2,5,6,1]=>[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,3,7,2,6,1,5]=>[6,4,7,2,5,1,3]=>[2,4,1,6,3,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,3,7,2,6,5,1]=>[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,3,7,5,1,2,6]=>[6,5,7,4,2,1,3]=>[2,3,1,4,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[4,3,7,5,1,6,2]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[4,3,7,5,2,1,6]=>[6,5,7,4,2,1,3]=>[2,3,1,4,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[4,3,7,5,2,6,1]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[4,3,7,5,6,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,3,7,5,6,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,3,7,6,1,2,5]=>[6,5,7,4,2,1,3]=>[2,3,1,4,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[4,3,7,6,1,5,2]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[4,3,7,6,2,1,5]=>[6,5,7,4,2,1,3]=>[2,3,1,4,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[4,3,7,6,2,5,1]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[4,3,7,6,5,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,3,7,6,5,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,5,1,2,3,6,7]=>[5,4,3,2,1,6,7]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[4,5,1,2,3,7,6]=>[5,4,3,2,1,7,6]=>[3,4,5,6,7,1,2]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[4,5,1,2,6,3,7]=>[6,4,3,2,5,1,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[4,5,1,2,6,7,3]=>[7,4,3,2,5,6,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[4,5,1,2,7,3,6]=>[6,4,3,2,7,1,5]=>[2,4,5,6,1,7,3]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[4,5,1,2,7,6,3]=>[7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[4,5,1,3,2,6,7]=>[5,4,3,2,1,6,7]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[4,5,1,3,2,7,6]=>[5,4,3,2,1,7,6]=>[3,4,5,6,7,1,2]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[4,5,1,3,6,2,7]=>[6,4,3,2,5,1,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[4,5,1,3,6,7,2]=>[7,4,3,2,5,6,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[4,5,1,3,7,2,6]=>[6,4,3,2,7,1,5]=>[2,4,5,6,1,7,3]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[4,5,1,3,7,6,2]=>[7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[4,5,1,6,2,3,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[4,5,1,6,2,7,3]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[4,5,1,6,3,2,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[4,5,1,6,3,7,2]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[4,5,1,6,7,2,3]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[4,5,1,6,7,3,2]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[4,5,1,7,2,3,6]=>[6,5,3,7,2,1,4]=>[2,3,5,1,6,7,4]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[4,5,1,7,2,6,3]=>[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[4,5,1,7,3,2,6]=>[6,5,3,7,2,1,4]=>[2,3,5,1,6,7,4]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[4,5,1,7,3,6,2]=>[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[4,5,1,7,6,2,3]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[4,5,1,7,6,3,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[4,5,2,1,3,6,7]=>[5,4,3,2,1,6,7]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[4,5,2,1,3,7,6]=>[5,4,3,2,1,7,6]=>[3,4,5,6,7,1,2]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[4,5,2,1,6,3,7]=>[6,4,3,2,5,1,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[4,5,2,1,6,7,3]=>[7,4,3,2,5,6,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[4,5,2,1,7,3,6]=>[6,4,3,2,7,1,5]=>[2,4,5,6,1,7,3]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[4,5,2,1,7,6,3]=>[7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[4,5,2,3,1,6,7]=>[5,4,3,2,1,6,7]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[4,5,2,3,1,7,6]=>[5,4,3,2,1,7,6]=>[3,4,5,6,7,1,2]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[4,5,2,3,6,1,7]=>[6,4,3,2,5,1,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[4,5,2,3,6,7,1]=>[7,4,3,2,5,6,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[4,5,2,3,7,1,6]=>[6,4,3,2,7,1,5]=>[2,4,5,6,1,7,3]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[4,5,2,3,7,6,1]=>[7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[4,5,2,6,1,3,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[4,5,2,6,1,7,3]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[4,5,2,6,3,1,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[4,5,2,6,3,7,1]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[4,5,2,6,7,1,3]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[4,5,2,6,7,3,1]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[4,5,2,7,1,3,6]=>[6,5,3,7,2,1,4]=>[2,3,5,1,6,7,4]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[4,5,2,7,1,6,3]=>[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[4,5,2,7,3,1,6]=>[6,5,3,7,2,1,4]=>[2,3,5,1,6,7,4]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[4,5,2,7,3,6,1]=>[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[4,5,2,7,6,1,3]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[4,5,2,7,6,3,1]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[4,5,3,1,2,6,7]=>[5,4,3,2,1,6,7]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[4,5,3,1,2,7,6]=>[5,4,3,2,1,7,6]=>[3,4,5,6,7,1,2]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[4,5,3,1,6,2,7]=>[6,4,3,2,5,1,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[4,5,3,1,6,7,2]=>[7,4,3,2,5,6,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[4,5,3,1,7,2,6]=>[6,4,3,2,7,1,5]=>[2,4,5,6,1,7,3]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[4,5,3,1,7,6,2]=>[7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[4,5,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[4,5,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>[3,4,5,6,7,1,2]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[4,5,3,2,6,1,7]=>[6,4,3,2,5,1,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[4,5,3,2,6,7,1]=>[7,4,3,2,5,6,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[4,5,3,2,7,1,6]=>[6,4,3,2,7,1,5]=>[2,4,5,6,1,7,3]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[4,5,3,2,7,6,1]=>[7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[4,5,3,6,1,2,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[4,5,3,6,1,7,2]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[4,5,3,6,2,1,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[4,5,3,6,2,7,1]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[4,5,3,6,7,1,2]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[4,5,3,6,7,2,1]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[4,5,3,7,1,2,6]=>[6,5,3,7,2,1,4]=>[2,3,5,1,6,7,4]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[4,5,3,7,1,6,2]=>[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[4,5,3,7,2,1,6]=>[6,5,3,7,2,1,4]=>[2,3,5,1,6,7,4]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[4,5,3,7,2,6,1]=>[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[4,5,3,7,6,1,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[4,5,3,7,6,2,1]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[4,5,6,1,2,3,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[4,5,6,1,2,7,3]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,5,6,1,3,2,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[4,5,6,1,3,7,2]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,5,6,1,7,2,3]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,5,6,1,7,3,2]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,5,6,2,1,3,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[4,5,6,2,1,7,3]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,5,6,2,3,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[4,5,6,2,3,7,1]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,5,6,2,7,1,3]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,5,6,2,7,3,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,5,6,3,1,2,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[4,5,6,3,1,7,2]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,5,6,3,2,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[4,5,6,3,2,7,1]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,5,6,3,7,1,2]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,5,6,3,7,2,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,5,6,7,1,2,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,5,6,7,1,3,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,5,6,7,2,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,5,6,7,2,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,5,6,7,3,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,5,6,7,3,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,5,7,1,2,3,6]=>[6,5,7,4,2,1,3]=>[2,3,1,4,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[4,5,7,1,2,6,3]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[4,5,7,1,3,2,6]=>[6,5,7,4,2,1,3]=>[2,3,1,4,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[4,5,7,1,3,6,2]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[4,5,7,1,6,2,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,5,7,1,6,3,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,5,7,2,1,3,6]=>[6,5,7,4,2,1,3]=>[2,3,1,4,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[4,5,7,2,1,6,3]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[4,5,7,2,3,1,6]=>[6,5,7,4,2,1,3]=>[2,3,1,4,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[4,5,7,2,3,6,1]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[4,5,7,2,6,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,5,7,2,6,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,5,7,3,1,2,6]=>[6,5,7,4,2,1,3]=>[2,3,1,4,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[4,5,7,3,1,6,2]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[4,5,7,3,2,1,6]=>[6,5,7,4,2,1,3]=>[2,3,1,4,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[4,5,7,3,2,6,1]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[4,5,7,3,6,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,5,7,3,6,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,5,7,6,1,2,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,5,7,6,1,3,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,5,7,6,2,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,5,7,6,2,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,5,7,6,3,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,5,7,6,3,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,6,1,2,3,5,7]=>[5,6,3,4,1,2,7]=>[3,2,5,4,7,6,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[4,6,1,2,3,7,5]=>[5,7,3,4,1,6,2]=>[3,1,5,4,7,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[4,6,1,2,5,3,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[4,6,1,2,5,7,3]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[4,6,1,2,7,3,5]=>[6,7,3,4,5,1,2]=>[2,1,5,4,3,7,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[4,6,1,2,7,5,3]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[4,6,1,3,2,5,7]=>[5,6,3,4,1,2,7]=>[3,2,5,4,7,6,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[4,6,1,3,2,7,5]=>[5,7,3,4,1,6,2]=>[3,1,5,4,7,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[4,6,1,3,5,2,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[4,6,1,3,5,7,2]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[4,6,1,3,7,2,5]=>[6,7,3,4,5,1,2]=>[2,1,5,4,3,7,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[4,6,1,3,7,5,2]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[4,6,1,5,2,3,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[4,6,1,5,2,7,3]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[4,6,1,5,3,2,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[4,6,1,5,3,7,2]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[4,6,1,5,7,2,3]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[4,6,1,5,7,3,2]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[4,6,1,7,2,3,5]=>[6,7,3,5,4,1,2]=>[2,1,5,3,4,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[4,6,1,7,2,5,3]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[4,6,1,7,3,2,5]=>[6,7,3,5,4,1,2]=>[2,1,5,3,4,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[4,6,1,7,3,5,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[4,6,1,7,5,2,3]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[4,6,1,7,5,3,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[4,6,2,1,3,5,7]=>[5,6,4,3,1,2,7]=>[3,2,4,5,7,6,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[4,6,2,1,3,7,5]=>[5,7,4,3,1,6,2]=>[3,1,4,5,7,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[4,6,2,1,5,3,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[4,6,2,1,5,7,3]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,6,2,1,7,3,5]=>[6,7,4,3,5,1,2]=>[2,1,4,5,3,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[4,6,2,1,7,5,3]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,6,2,3,1,5,7]=>[5,6,4,3,1,2,7]=>[3,2,4,5,7,6,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[4,6,2,3,1,7,5]=>[5,7,4,3,1,6,2]=>[3,1,4,5,7,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[4,6,2,3,5,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[4,6,2,3,5,7,1]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,6,2,3,7,1,5]=>[6,7,4,3,5,1,2]=>[2,1,4,5,3,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[4,6,2,3,7,5,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,6,2,5,1,3,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[4,6,2,5,1,7,3]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,6,2,5,3,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[4,6,2,5,3,7,1]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,6,2,5,7,1,3]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,6,2,5,7,3,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,6,2,7,1,3,5]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[4,6,2,7,1,5,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,6,2,7,3,1,5]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[4,6,2,7,3,5,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,6,2,7,5,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,6,2,7,5,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,6,3,1,2,5,7]=>[5,6,4,3,1,2,7]=>[3,2,4,5,7,6,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[4,6,3,1,2,7,5]=>[5,7,4,3,1,6,2]=>[3,1,4,5,7,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[4,6,3,1,5,2,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[4,6,3,1,5,7,2]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,6,3,1,7,2,5]=>[6,7,4,3,5,1,2]=>[2,1,4,5,3,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[4,6,3,1,7,5,2]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,6,3,2,1,5,7]=>[5,6,4,3,1,2,7]=>[3,2,4,5,7,6,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[4,6,3,2,1,7,5]=>[5,7,4,3,1,6,2]=>[3,1,4,5,7,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[4,6,3,2,5,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[4,6,3,2,5,7,1]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,6,3,2,7,1,5]=>[6,7,4,3,5,1,2]=>[2,1,4,5,3,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[4,6,3,2,7,5,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,6,3,5,1,2,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[4,6,3,5,1,7,2]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,6,3,5,2,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[4,6,3,5,2,7,1]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,6,3,5,7,1,2]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,6,3,5,7,2,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,6,3,7,1,2,5]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[4,6,3,7,1,5,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,6,3,7,2,1,5]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[4,6,3,7,2,5,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,6,3,7,5,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,6,3,7,5,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,6,5,1,2,3,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[4,6,5,1,2,7,3]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,6,5,1,3,2,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[4,6,5,1,3,7,2]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,6,5,1,7,2,3]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,6,5,1,7,3,2]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,6,5,2,1,3,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[4,6,5,2,1,7,3]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,6,5,2,3,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[4,6,5,2,3,7,1]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,6,5,2,7,1,3]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,6,5,2,7,3,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,6,5,3,1,2,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[4,6,5,3,1,7,2]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,6,5,3,2,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[4,6,5,3,2,7,1]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,6,5,3,7,1,2]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,6,5,3,7,2,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,6,5,7,1,2,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,6,5,7,1,3,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,6,5,7,2,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,6,5,7,2,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,6,5,7,3,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,6,5,7,3,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,6,7,1,2,3,5]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[4,6,7,1,2,5,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,6,7,1,3,2,5]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[4,6,7,1,3,5,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,6,7,1,5,2,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,6,7,1,5,3,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,6,7,2,1,3,5]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[4,6,7,2,1,5,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,6,7,2,3,1,5]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[4,6,7,2,3,5,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,6,7,2,5,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,6,7,2,5,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,6,7,3,1,2,5]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[4,6,7,3,1,5,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,6,7,3,2,1,5]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[4,6,7,3,2,5,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,6,7,3,5,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,6,7,3,5,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,6,7,5,1,2,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,6,7,5,1,3,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,6,7,5,2,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,6,7,5,2,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,6,7,5,3,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,6,7,5,3,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,1,2,3,5,6]=>[5,7,3,4,1,6,2]=>[3,1,5,4,7,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[4,7,1,2,3,6,5]=>[5,7,3,4,1,6,2]=>[3,1,5,4,7,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[4,7,1,2,5,3,6]=>[6,7,3,4,5,1,2]=>[2,1,5,4,3,7,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[4,7,1,2,5,6,3]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[4,7,1,2,6,3,5]=>[6,7,3,4,5,1,2]=>[2,1,5,4,3,7,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[4,7,1,2,6,5,3]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[4,7,1,3,2,5,6]=>[5,7,3,4,1,6,2]=>[3,1,5,4,7,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[4,7,1,3,2,6,5]=>[5,7,3,4,1,6,2]=>[3,1,5,4,7,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[4,7,1,3,5,2,6]=>[6,7,3,4,5,1,2]=>[2,1,5,4,3,7,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[4,7,1,3,5,6,2]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[4,7,1,3,6,2,5]=>[6,7,3,4,5,1,2]=>[2,1,5,4,3,7,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[4,7,1,3,6,5,2]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[4,7,1,5,2,3,6]=>[6,7,3,5,4,1,2]=>[2,1,5,3,4,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[4,7,1,5,2,6,3]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[4,7,1,5,3,2,6]=>[6,7,3,5,4,1,2]=>[2,1,5,3,4,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[4,7,1,5,3,6,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[4,7,1,5,6,2,3]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[4,7,1,5,6,3,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[4,7,1,6,2,3,5]=>[6,7,3,5,4,1,2]=>[2,1,5,3,4,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[4,7,1,6,2,5,3]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[4,7,1,6,3,2,5]=>[6,7,3,5,4,1,2]=>[2,1,5,3,4,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[4,7,1,6,3,5,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[4,7,1,6,5,2,3]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[4,7,1,6,5,3,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[4,7,2,1,3,5,6]=>[5,7,4,3,1,6,2]=>[3,1,4,5,7,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[4,7,2,1,3,6,5]=>[5,7,4,3,1,6,2]=>[3,1,4,5,7,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[4,7,2,1,5,3,6]=>[6,7,4,3,5,1,2]=>[2,1,4,5,3,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[4,7,2,1,5,6,3]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,7,2,1,6,3,5]=>[6,7,4,3,5,1,2]=>[2,1,4,5,3,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[4,7,2,1,6,5,3]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,7,2,3,1,5,6]=>[5,7,4,3,1,6,2]=>[3,1,4,5,7,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[4,7,2,3,1,6,5]=>[5,7,4,3,1,6,2]=>[3,1,4,5,7,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[4,7,2,3,5,1,6]=>[6,7,4,3,5,1,2]=>[2,1,4,5,3,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[4,7,2,3,5,6,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,7,2,3,6,1,5]=>[6,7,4,3,5,1,2]=>[2,1,4,5,3,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[4,7,2,3,6,5,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,7,2,5,1,3,6]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[4,7,2,5,1,6,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,2,5,3,1,6]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[4,7,2,5,3,6,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,2,5,6,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,2,5,6,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,2,6,1,3,5]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[4,7,2,6,1,5,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,2,6,3,1,5]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[4,7,2,6,3,5,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,2,6,5,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,2,6,5,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,3,1,2,5,6]=>[5,7,4,3,1,6,2]=>[3,1,4,5,7,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[4,7,3,1,2,6,5]=>[5,7,4,3,1,6,2]=>[3,1,4,5,7,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[4,7,3,1,5,2,6]=>[6,7,4,3,5,1,2]=>[2,1,4,5,3,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[4,7,3,1,5,6,2]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,7,3,1,6,2,5]=>[6,7,4,3,5,1,2]=>[2,1,4,5,3,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[4,7,3,1,6,5,2]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,7,3,2,1,5,6]=>[5,7,4,3,1,6,2]=>[3,1,4,5,7,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[4,7,3,2,1,6,5]=>[5,7,4,3,1,6,2]=>[3,1,4,5,7,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[4,7,3,2,5,1,6]=>[6,7,4,3,5,1,2]=>[2,1,4,5,3,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[4,7,3,2,5,6,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,7,3,2,6,1,5]=>[6,7,4,3,5,1,2]=>[2,1,4,5,3,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[4,7,3,2,6,5,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,7,3,5,1,2,6]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[4,7,3,5,1,6,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,3,5,2,1,6]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[4,7,3,5,2,6,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,3,5,6,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,3,5,6,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,3,6,1,2,5]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[4,7,3,6,1,5,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,3,6,2,1,5]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[4,7,3,6,2,5,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,3,6,5,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,3,6,5,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,5,1,2,3,6]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[4,7,5,1,2,6,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,5,1,3,2,6]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[4,7,5,1,3,6,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,5,1,6,2,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,5,1,6,3,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,5,2,1,3,6]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[4,7,5,2,1,6,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,5,2,3,1,6]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[4,7,5,2,3,6,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,5,2,6,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,5,2,6,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,5,3,1,2,6]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[4,7,5,3,1,6,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,5,3,2,1,6]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[4,7,5,3,2,6,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,5,3,6,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,5,3,6,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,5,6,1,2,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,5,6,1,3,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,5,6,2,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,5,6,2,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,5,6,3,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,5,6,3,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,6,1,2,3,5]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[4,7,6,1,2,5,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,6,1,3,2,5]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[4,7,6,1,3,5,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,6,1,5,2,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,6,1,5,3,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,6,2,1,3,5]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[4,7,6,2,1,5,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,6,2,3,1,5]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[4,7,6,2,3,5,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,6,2,5,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,6,2,5,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,6,3,1,2,5]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[4,7,6,3,1,5,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,6,3,2,1,5]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[4,7,6,3,2,5,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,6,3,5,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,6,3,5,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,6,5,1,2,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,6,5,1,3,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,6,5,2,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,6,5,2,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,6,5,3,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,6,5,3,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,1,2,3,4,6,7]=>[5,2,3,4,1,6,7]=>[3,6,5,4,7,2,1]=>[[[.,[[[.,.],.],[.,.]]],.],.]
[5,1,2,3,4,7,6]=>[5,2,3,4,1,7,6]=>[3,6,5,4,7,1,2]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[5,1,2,3,6,4,7]=>[6,2,3,4,5,1,7]=>[2,6,5,4,3,7,1]=>[[.,[[[[.,.],.],.],[.,.]]],.]
[5,1,2,3,6,7,4]=>[7,2,3,4,5,6,1]=>[1,6,5,4,3,2,7]=>[.,[[[[[.,.],.],.],.],[.,.]]]
[5,1,2,3,7,4,6]=>[6,2,3,4,7,1,5]=>[2,6,5,4,1,7,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,2,3,7,6,4]=>[7,2,3,4,6,5,1]=>[1,6,5,4,2,3,7]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[5,1,2,4,3,6,7]=>[5,2,3,4,1,6,7]=>[3,6,5,4,7,2,1]=>[[[.,[[[.,.],.],[.,.]]],.],.]
[5,1,2,4,3,7,6]=>[5,2,3,4,1,7,6]=>[3,6,5,4,7,1,2]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[5,1,2,4,6,3,7]=>[6,2,3,4,5,1,7]=>[2,6,5,4,3,7,1]=>[[.,[[[[.,.],.],.],[.,.]]],.]
[5,1,2,4,6,7,3]=>[7,2,3,4,5,6,1]=>[1,6,5,4,3,2,7]=>[.,[[[[[.,.],.],.],.],[.,.]]]
[5,1,2,4,7,3,6]=>[6,2,3,4,7,1,5]=>[2,6,5,4,1,7,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,2,4,7,6,3]=>[7,2,3,4,6,5,1]=>[1,6,5,4,2,3,7]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[5,1,2,6,3,4,7]=>[6,2,3,5,4,1,7]=>[2,6,5,3,4,7,1]=>[[.,[[[.,.],.],[.,[.,.]]]],.]
[5,1,2,6,3,7,4]=>[7,2,3,5,4,6,1]=>[1,6,5,3,4,2,7]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[5,1,2,6,4,3,7]=>[6,2,3,5,4,1,7]=>[2,6,5,3,4,7,1]=>[[.,[[[.,.],.],[.,[.,.]]]],.]
[5,1,2,6,4,7,3]=>[7,2,3,5,4,6,1]=>[1,6,5,3,4,2,7]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[5,1,2,6,7,3,4]=>[7,2,3,6,5,4,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[5,1,2,6,7,4,3]=>[7,2,3,6,5,4,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[5,1,2,7,3,4,6]=>[6,2,3,7,5,1,4]=>[2,6,5,1,3,7,4]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[5,1,2,7,3,6,4]=>[7,2,3,6,5,4,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[5,1,2,7,4,3,6]=>[6,2,3,7,5,1,4]=>[2,6,5,1,3,7,4]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[5,1,2,7,4,6,3]=>[7,2,3,6,5,4,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[5,1,2,7,6,3,4]=>[7,2,3,6,5,4,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[5,1,2,7,6,4,3]=>[7,2,3,6,5,4,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[5,1,3,2,4,6,7]=>[5,2,4,3,1,6,7]=>[3,6,4,5,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[5,1,3,2,4,7,6]=>[5,2,4,3,1,7,6]=>[3,6,4,5,7,1,2]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[5,1,3,2,6,4,7]=>[6,2,4,3,5,1,7]=>[2,6,4,5,3,7,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[5,1,3,2,6,7,4]=>[7,2,4,3,5,6,1]=>[1,6,4,5,3,2,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[5,1,3,2,7,4,6]=>[6,2,4,3,7,1,5]=>[2,6,4,5,1,7,3]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[5,1,3,2,7,6,4]=>[7,2,4,3,6,5,1]=>[1,6,4,5,2,3,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[5,1,3,4,2,6,7]=>[5,2,4,3,1,6,7]=>[3,6,4,5,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[5,1,3,4,2,7,6]=>[5,2,4,3,1,7,6]=>[3,6,4,5,7,1,2]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[5,1,3,4,6,2,7]=>[6,2,4,3,5,1,7]=>[2,6,4,5,3,7,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[5,1,3,4,6,7,2]=>[7,2,4,3,5,6,1]=>[1,6,4,5,3,2,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[5,1,3,4,7,2,6]=>[6,2,4,3,7,1,5]=>[2,6,4,5,1,7,3]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[5,1,3,4,7,6,2]=>[7,2,4,3,6,5,1]=>[1,6,4,5,2,3,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[5,1,3,6,2,4,7]=>[6,2,5,4,3,1,7]=>[2,6,3,4,5,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[5,1,3,6,2,7,4]=>[7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,1,3,6,4,2,7]=>[6,2,5,4,3,1,7]=>[2,6,3,4,5,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[5,1,3,6,4,7,2]=>[7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,1,3,6,7,2,4]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[5,1,3,6,7,4,2]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[5,1,3,7,2,4,6]=>[6,2,5,7,3,1,4]=>[2,6,3,1,5,7,4]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[5,1,3,7,2,6,4]=>[7,2,5,6,3,4,1]=>[1,6,3,2,5,4,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[5,1,3,7,4,2,6]=>[6,2,5,7,3,1,4]=>[2,6,3,1,5,7,4]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[5,1,3,7,4,6,2]=>[7,2,5,6,3,4,1]=>[1,6,3,2,5,4,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[5,1,3,7,6,2,4]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,1,3,7,6,4,2]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,1,4,2,3,6,7]=>[5,2,4,3,1,6,7]=>[3,6,4,5,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[5,1,4,2,3,7,6]=>[5,2,4,3,1,7,6]=>[3,6,4,5,7,1,2]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[5,1,4,2,6,3,7]=>[6,2,4,3,5,1,7]=>[2,6,4,5,3,7,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[5,1,4,2,6,7,3]=>[7,2,4,3,5,6,1]=>[1,6,4,5,3,2,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[5,1,4,2,7,3,6]=>[6,2,4,3,7,1,5]=>[2,6,4,5,1,7,3]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[5,1,4,2,7,6,3]=>[7,2,4,3,6,5,1]=>[1,6,4,5,2,3,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[5,1,4,3,2,6,7]=>[5,2,4,3,1,6,7]=>[3,6,4,5,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[5,1,4,3,2,7,6]=>[5,2,4,3,1,7,6]=>[3,6,4,5,7,1,2]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[5,1,4,3,6,2,7]=>[6,2,4,3,5,1,7]=>[2,6,4,5,3,7,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[5,1,4,3,6,7,2]=>[7,2,4,3,5,6,1]=>[1,6,4,5,3,2,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[5,1,4,3,7,2,6]=>[6,2,4,3,7,1,5]=>[2,6,4,5,1,7,3]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[5,1,4,3,7,6,2]=>[7,2,4,3,6,5,1]=>[1,6,4,5,2,3,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[5,1,4,6,2,3,7]=>[6,2,5,4,3,1,7]=>[2,6,3,4,5,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[5,1,4,6,2,7,3]=>[7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,1,4,6,3,2,7]=>[6,2,5,4,3,1,7]=>[2,6,3,4,5,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[5,1,4,6,3,7,2]=>[7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,1,4,6,7,2,3]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[5,1,4,6,7,3,2]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[5,1,4,7,2,3,6]=>[6,2,5,7,3,1,4]=>[2,6,3,1,5,7,4]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[5,1,4,7,2,6,3]=>[7,2,5,6,3,4,1]=>[1,6,3,2,5,4,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[5,1,4,7,3,2,6]=>[6,2,5,7,3,1,4]=>[2,6,3,1,5,7,4]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[5,1,4,7,3,6,2]=>[7,2,5,6,3,4,1]=>[1,6,3,2,5,4,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[5,1,4,7,6,2,3]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,1,4,7,6,3,2]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,1,6,2,3,4,7]=>[6,2,5,4,3,1,7]=>[2,6,3,4,5,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[5,1,6,2,3,7,4]=>[7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,1,6,2,4,3,7]=>[6,2,5,4,3,1,7]=>[2,6,3,4,5,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[5,1,6,2,4,7,3]=>[7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,1,6,2,7,3,4]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[5,1,6,2,7,4,3]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[5,1,6,3,2,4,7]=>[6,2,5,4,3,1,7]=>[2,6,3,4,5,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[5,1,6,3,2,7,4]=>[7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,1,6,3,4,2,7]=>[6,2,5,4,3,1,7]=>[2,6,3,4,5,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[5,1,6,3,4,7,2]=>[7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,1,6,3,7,2,4]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[5,1,6,3,7,4,2]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[5,1,6,4,2,3,7]=>[6,2,5,4,3,1,7]=>[2,6,3,4,5,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[5,1,6,4,2,7,3]=>[7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,1,6,4,3,2,7]=>[6,2,5,4,3,1,7]=>[2,6,3,4,5,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[5,1,6,4,3,7,2]=>[7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,1,6,4,7,2,3]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[5,1,6,4,7,3,2]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[5,1,6,7,2,3,4]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,1,6,7,2,4,3]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,1,6,7,3,2,4]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,1,6,7,3,4,2]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,1,6,7,4,2,3]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,1,6,7,4,3,2]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,1,7,2,3,4,6]=>[6,2,7,4,5,1,3]=>[2,6,1,4,3,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[5,1,7,2,3,6,4]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[5,1,7,2,4,3,6]=>[6,2,7,4,5,1,3]=>[2,6,1,4,3,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[5,1,7,2,4,6,3]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[5,1,7,2,6,3,4]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[5,1,7,2,6,4,3]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[5,1,7,3,2,4,6]=>[6,2,7,5,4,1,3]=>[2,6,1,3,4,7,5]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[5,1,7,3,2,6,4]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,1,7,3,4,2,6]=>[6,2,7,5,4,1,3]=>[2,6,1,3,4,7,5]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[5,1,7,3,4,6,2]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,1,7,3,6,2,4]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,1,7,3,6,4,2]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,1,7,4,2,3,6]=>[6,2,7,5,4,1,3]=>[2,6,1,3,4,7,5]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[5,1,7,4,2,6,3]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,1,7,4,3,2,6]=>[6,2,7,5,4,1,3]=>[2,6,1,3,4,7,5]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[5,1,7,4,3,6,2]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,1,7,4,6,2,3]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,1,7,4,6,3,2]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,1,7,6,2,3,4]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,1,7,6,2,4,3]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,1,7,6,3,2,4]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,1,7,6,3,4,2]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,1,7,6,4,2,3]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,1,7,6,4,3,2]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,2,1,3,4,6,7]=>[5,3,2,4,1,6,7]=>[3,5,6,4,7,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[5,2,1,3,4,7,6]=>[5,3,2,4,1,7,6]=>[3,5,6,4,7,1,2]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[5,2,1,3,6,4,7]=>[6,3,2,4,5,1,7]=>[2,5,6,4,3,7,1]=>[[.,[[[.,[.,.]],.],[.,.]]],.]
[5,2,1,3,6,7,4]=>[7,3,2,4,5,6,1]=>[1,5,6,4,3,2,7]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[5,2,1,3,7,4,6]=>[6,3,2,4,7,1,5]=>[2,5,6,4,1,7,3]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[5,2,1,3,7,6,4]=>[7,3,2,4,6,5,1]=>[1,5,6,4,2,3,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[5,2,1,4,3,6,7]=>[5,3,2,4,1,6,7]=>[3,5,6,4,7,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[5,2,1,4,3,7,6]=>[5,3,2,4,1,7,6]=>[3,5,6,4,7,1,2]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[5,2,1,4,6,3,7]=>[6,3,2,4,5,1,7]=>[2,5,6,4,3,7,1]=>[[.,[[[.,[.,.]],.],[.,.]]],.]
[5,2,1,4,6,7,3]=>[7,3,2,4,5,6,1]=>[1,5,6,4,3,2,7]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[5,2,1,4,7,3,6]=>[6,3,2,4,7,1,5]=>[2,5,6,4,1,7,3]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[5,2,1,4,7,6,3]=>[7,3,2,4,6,5,1]=>[1,5,6,4,2,3,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[5,2,1,6,3,4,7]=>[6,3,2,5,4,1,7]=>[2,5,6,3,4,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[5,2,1,6,3,7,4]=>[7,3,2,5,4,6,1]=>[1,5,6,3,4,2,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[5,2,1,6,4,3,7]=>[6,3,2,5,4,1,7]=>[2,5,6,3,4,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[5,2,1,6,4,7,3]=>[7,3,2,5,4,6,1]=>[1,5,6,3,4,2,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[5,2,1,6,7,3,4]=>[7,3,2,6,5,4,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[5,2,1,6,7,4,3]=>[7,3,2,6,5,4,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[5,2,1,7,3,4,6]=>[6,3,2,7,5,1,4]=>[2,5,6,1,3,7,4]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[5,2,1,7,3,6,4]=>[7,3,2,6,5,4,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[5,2,1,7,4,3,6]=>[6,3,2,7,5,1,4]=>[2,5,6,1,3,7,4]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[5,2,1,7,4,6,3]=>[7,3,2,6,5,4,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[5,2,1,7,6,3,4]=>[7,3,2,6,5,4,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[5,2,1,7,6,4,3]=>[7,3,2,6,5,4,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[5,2,3,1,4,6,7]=>[5,4,3,2,1,6,7]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[5,2,3,1,4,7,6]=>[5,4,3,2,1,7,6]=>[3,4,5,6,7,1,2]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[5,2,3,1,6,4,7]=>[6,4,3,2,5,1,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[5,2,3,1,6,7,4]=>[7,4,3,2,5,6,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[5,2,3,1,7,4,6]=>[6,4,3,2,7,1,5]=>[2,4,5,6,1,7,3]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[5,2,3,1,7,6,4]=>[7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[5,2,3,4,1,6,7]=>[5,4,3,2,1,6,7]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[5,2,3,4,1,7,6]=>[5,4,3,2,1,7,6]=>[3,4,5,6,7,1,2]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[5,2,3,4,6,1,7]=>[6,4,3,2,5,1,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[5,2,3,4,6,7,1]=>[7,4,3,2,5,6,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[5,2,3,4,7,1,6]=>[6,4,3,2,7,1,5]=>[2,4,5,6,1,7,3]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[5,2,3,4,7,6,1]=>[7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[5,2,3,6,1,4,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[5,2,3,6,1,7,4]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,2,3,6,4,1,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[5,2,3,6,4,7,1]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,2,3,6,7,1,4]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[5,2,3,6,7,4,1]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[5,2,3,7,1,4,6]=>[6,5,3,7,2,1,4]=>[2,3,5,1,6,7,4]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[5,2,3,7,1,6,4]=>[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,2,3,7,4,1,6]=>[6,5,3,7,2,1,4]=>[2,3,5,1,6,7,4]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[5,2,3,7,4,6,1]=>[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,2,3,7,6,1,4]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,2,3,7,6,4,1]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,2,4,1,3,6,7]=>[5,4,3,2,1,6,7]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[5,2,4,1,3,7,6]=>[5,4,3,2,1,7,6]=>[3,4,5,6,7,1,2]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[5,2,4,1,6,3,7]=>[6,4,3,2,5,1,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[5,2,4,1,6,7,3]=>[7,4,3,2,5,6,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[5,2,4,1,7,3,6]=>[6,4,3,2,7,1,5]=>[2,4,5,6,1,7,3]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[5,2,4,1,7,6,3]=>[7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[5,2,4,3,1,6,7]=>[5,4,3,2,1,6,7]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[5,2,4,3,1,7,6]=>[5,4,3,2,1,7,6]=>[3,4,5,6,7,1,2]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[5,2,4,3,6,1,7]=>[6,4,3,2,5,1,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[5,2,4,3,6,7,1]=>[7,4,3,2,5,6,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[5,2,4,3,7,1,6]=>[6,4,3,2,7,1,5]=>[2,4,5,6,1,7,3]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[5,2,4,3,7,6,1]=>[7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[5,2,4,6,1,3,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[5,2,4,6,1,7,3]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,2,4,6,3,1,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[5,2,4,6,3,7,1]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,2,4,6,7,1,3]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[5,2,4,6,7,3,1]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[5,2,4,7,1,3,6]=>[6,5,3,7,2,1,4]=>[2,3,5,1,6,7,4]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[5,2,4,7,1,6,3]=>[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,2,4,7,3,1,6]=>[6,5,3,7,2,1,4]=>[2,3,5,1,6,7,4]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[5,2,4,7,3,6,1]=>[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,2,4,7,6,1,3]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,2,4,7,6,3,1]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,2,6,1,3,4,7]=>[6,4,5,2,3,1,7]=>[2,4,3,6,5,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[5,2,6,1,3,7,4]=>[7,4,5,2,3,6,1]=>[1,4,3,6,5,2,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[5,2,6,1,4,3,7]=>[6,4,5,2,3,1,7]=>[2,4,3,6,5,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[5,2,6,1,4,7,3]=>[7,4,5,2,3,6,1]=>[1,4,3,6,5,2,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[5,2,6,1,7,3,4]=>[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[5,2,6,1,7,4,3]=>[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[5,2,6,3,1,4,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[5,2,6,3,1,7,4]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,2,6,3,4,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[5,2,6,3,4,7,1]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,2,6,3,7,1,4]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[5,2,6,3,7,4,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[5,2,6,4,1,3,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[5,2,6,4,1,7,3]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,2,6,4,3,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[5,2,6,4,3,7,1]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,2,6,4,7,1,3]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[5,2,6,4,7,3,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[5,2,6,7,1,3,4]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,2,6,7,1,4,3]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,2,6,7,3,1,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,2,6,7,3,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,2,6,7,4,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,2,6,7,4,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,2,7,1,3,4,6]=>[6,4,7,2,5,1,3]=>[2,4,1,6,3,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[5,2,7,1,3,6,4]=>[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[5,2,7,1,4,3,6]=>[6,4,7,2,5,1,3]=>[2,4,1,6,3,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[5,2,7,1,4,6,3]=>[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[5,2,7,1,6,3,4]=>[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[5,2,7,1,6,4,3]=>[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[5,2,7,3,1,4,6]=>[6,5,7,4,2,1,3]=>[2,3,1,4,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[5,2,7,3,1,6,4]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,2,7,3,4,1,6]=>[6,5,7,4,2,1,3]=>[2,3,1,4,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[5,2,7,3,4,6,1]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,2,7,3,6,1,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,2,7,3,6,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,2,7,4,1,3,6]=>[6,5,7,4,2,1,3]=>[2,3,1,4,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[5,2,7,4,1,6,3]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,2,7,4,3,1,6]=>[6,5,7,4,2,1,3]=>[2,3,1,4,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[5,2,7,4,3,6,1]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,2,7,4,6,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,2,7,4,6,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,2,7,6,1,3,4]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,2,7,6,1,4,3]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,2,7,6,3,1,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,2,7,6,3,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,2,7,6,4,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,2,7,6,4,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,3,1,2,4,6,7]=>[5,4,3,2,1,6,7]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[5,3,1,2,4,7,6]=>[5,4,3,2,1,7,6]=>[3,4,5,6,7,1,2]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[5,3,1,2,6,4,7]=>[6,4,3,2,5,1,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[5,3,1,2,6,7,4]=>[7,4,3,2,5,6,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[5,3,1,2,7,4,6]=>[6,4,3,2,7,1,5]=>[2,4,5,6,1,7,3]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[5,3,1,2,7,6,4]=>[7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[5,3,1,4,2,6,7]=>[5,4,3,2,1,6,7]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[5,3,1,4,2,7,6]=>[5,4,3,2,1,7,6]=>[3,4,5,6,7,1,2]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[5,3,1,4,6,2,7]=>[6,4,3,2,5,1,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[5,3,1,4,6,7,2]=>[7,4,3,2,5,6,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[5,3,1,4,7,2,6]=>[6,4,3,2,7,1,5]=>[2,4,5,6,1,7,3]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[5,3,1,4,7,6,2]=>[7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[5,3,1,6,2,4,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[5,3,1,6,2,7,4]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,3,1,6,4,2,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[5,3,1,6,4,7,2]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,3,1,6,7,2,4]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[5,3,1,6,7,4,2]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[5,3,1,7,2,4,6]=>[6,5,3,7,2,1,4]=>[2,3,5,1,6,7,4]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[5,3,1,7,2,6,4]=>[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,3,1,7,4,2,6]=>[6,5,3,7,2,1,4]=>[2,3,5,1,6,7,4]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[5,3,1,7,4,6,2]=>[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,3,1,7,6,2,4]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,3,1,7,6,4,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,3,2,1,4,6,7]=>[5,4,3,2,1,6,7]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[5,3,2,1,4,7,6]=>[5,4,3,2,1,7,6]=>[3,4,5,6,7,1,2]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[5,3,2,1,6,4,7]=>[6,4,3,2,5,1,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[5,3,2,1,6,7,4]=>[7,4,3,2,5,6,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[5,3,2,1,7,4,6]=>[6,4,3,2,7,1,5]=>[2,4,5,6,1,7,3]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[5,3,2,1,7,6,4]=>[7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[5,3,2,4,1,6,7]=>[5,4,3,2,1,6,7]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[5,3,2,4,1,7,6]=>[5,4,3,2,1,7,6]=>[3,4,5,6,7,1,2]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[5,3,2,4,6,1,7]=>[6,4,3,2,5,1,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[5,3,2,4,6,7,1]=>[7,4,3,2,5,6,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[5,3,2,4,7,1,6]=>[6,4,3,2,7,1,5]=>[2,4,5,6,1,7,3]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[5,3,2,4,7,6,1]=>[7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[5,3,2,6,1,4,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[5,3,2,6,1,7,4]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,3,2,6,4,1,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[5,3,2,6,4,7,1]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,3,2,6,7,1,4]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[5,3,2,6,7,4,1]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[5,3,2,7,1,4,6]=>[6,5,3,7,2,1,4]=>[2,3,5,1,6,7,4]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[5,3,2,7,1,6,4]=>[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,3,2,7,4,1,6]=>[6,5,3,7,2,1,4]=>[2,3,5,1,6,7,4]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[5,3,2,7,4,6,1]=>[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,3,2,7,6,1,4]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,3,2,7,6,4,1]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,3,4,1,2,6,7]=>[5,4,3,2,1,6,7]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[5,3,4,1,2,7,6]=>[5,4,3,2,1,7,6]=>[3,4,5,6,7,1,2]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[5,3,4,1,6,2,7]=>[6,4,3,2,5,1,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[5,3,4,1,6,7,2]=>[7,4,3,2,5,6,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[5,3,4,1,7,2,6]=>[6,4,3,2,7,1,5]=>[2,4,5,6,1,7,3]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[5,3,4,1,7,6,2]=>[7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[5,3,4,2,1,6,7]=>[5,4,3,2,1,6,7]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[5,3,4,2,1,7,6]=>[5,4,3,2,1,7,6]=>[3,4,5,6,7,1,2]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[5,3,4,2,6,1,7]=>[6,4,3,2,5,1,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[5,3,4,2,6,7,1]=>[7,4,3,2,5,6,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[5,3,4,2,7,1,6]=>[6,4,3,2,7,1,5]=>[2,4,5,6,1,7,3]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[5,3,4,2,7,6,1]=>[7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[5,3,4,6,1,2,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[5,3,4,6,1,7,2]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,3,4,6,2,1,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[5,3,4,6,2,7,1]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,3,4,6,7,1,2]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[5,3,4,6,7,2,1]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[5,3,4,7,1,2,6]=>[6,5,3,7,2,1,4]=>[2,3,5,1,6,7,4]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[5,3,4,7,1,6,2]=>[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,3,4,7,2,1,6]=>[6,5,3,7,2,1,4]=>[2,3,5,1,6,7,4]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[5,3,4,7,2,6,1]=>[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,3,4,7,6,1,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,3,4,7,6,2,1]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,3,6,1,2,4,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[5,3,6,1,2,7,4]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,3,6,1,4,2,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[5,3,6,1,4,7,2]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,3,6,1,7,2,4]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[5,3,6,1,7,4,2]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[5,3,6,2,1,4,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[5,3,6,2,1,7,4]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,3,6,2,4,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[5,3,6,2,4,7,1]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,3,6,2,7,1,4]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[5,3,6,2,7,4,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[5,3,6,4,1,2,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[5,3,6,4,1,7,2]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,3,6,4,2,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[5,3,6,4,2,7,1]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,3,6,4,7,1,2]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[5,3,6,4,7,2,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[5,3,6,7,1,2,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,3,6,7,1,4,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,3,6,7,2,1,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,3,6,7,2,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,3,6,7,4,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,3,6,7,4,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,3,7,1,2,4,6]=>[6,5,7,4,2,1,3]=>[2,3,1,4,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[5,3,7,1,2,6,4]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,3,7,1,4,2,6]=>[6,5,7,4,2,1,3]=>[2,3,1,4,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[5,3,7,1,4,6,2]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,3,7,1,6,2,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,3,7,1,6,4,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,3,7,2,1,4,6]=>[6,5,7,4,2,1,3]=>[2,3,1,4,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[5,3,7,2,1,6,4]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,3,7,2,4,1,6]=>[6,5,7,4,2,1,3]=>[2,3,1,4,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[5,3,7,2,4,6,1]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,3,7,2,6,1,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,3,7,2,6,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,3,7,4,1,2,6]=>[6,5,7,4,2,1,3]=>[2,3,1,4,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[5,3,7,4,1,6,2]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,3,7,4,2,1,6]=>[6,5,7,4,2,1,3]=>[2,3,1,4,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[5,3,7,4,2,6,1]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,3,7,4,6,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,3,7,4,6,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,3,7,6,1,2,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,3,7,6,1,4,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,3,7,6,2,1,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,3,7,6,2,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,3,7,6,4,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,3,7,6,4,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,4,1,2,3,6,7]=>[5,4,3,2,1,6,7]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[5,4,1,2,3,7,6]=>[5,4,3,2,1,7,6]=>[3,4,5,6,7,1,2]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[5,4,1,2,6,3,7]=>[6,4,3,2,5,1,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[5,4,1,2,6,7,3]=>[7,4,3,2,5,6,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[5,4,1,2,7,3,6]=>[6,4,3,2,7,1,5]=>[2,4,5,6,1,7,3]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[5,4,1,2,7,6,3]=>[7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[5,4,1,3,2,6,7]=>[5,4,3,2,1,6,7]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[5,4,1,3,2,7,6]=>[5,4,3,2,1,7,6]=>[3,4,5,6,7,1,2]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[5,4,1,3,6,2,7]=>[6,4,3,2,5,1,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[5,4,1,3,6,7,2]=>[7,4,3,2,5,6,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[5,4,1,3,7,2,6]=>[6,4,3,2,7,1,5]=>[2,4,5,6,1,7,3]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[5,4,1,3,7,6,2]=>[7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[5,4,1,6,2,3,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[5,4,1,6,2,7,3]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,4,1,6,3,2,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[5,4,1,6,3,7,2]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,4,1,6,7,2,3]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[5,4,1,6,7,3,2]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[5,4,1,7,2,3,6]=>[6,5,3,7,2,1,4]=>[2,3,5,1,6,7,4]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[5,4,1,7,2,6,3]=>[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,4,1,7,3,2,6]=>[6,5,3,7,2,1,4]=>[2,3,5,1,6,7,4]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[5,4,1,7,3,6,2]=>[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,4,1,7,6,2,3]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,4,1,7,6,3,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,4,2,1,3,6,7]=>[5,4,3,2,1,6,7]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[5,4,2,1,3,7,6]=>[5,4,3,2,1,7,6]=>[3,4,5,6,7,1,2]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[5,4,2,1,6,3,7]=>[6,4,3,2,5,1,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[5,4,2,1,6,7,3]=>[7,4,3,2,5,6,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[5,4,2,1,7,3,6]=>[6,4,3,2,7,1,5]=>[2,4,5,6,1,7,3]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[5,4,2,1,7,6,3]=>[7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[5,4,2,3,1,6,7]=>[5,4,3,2,1,6,7]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[5,4,2,3,1,7,6]=>[5,4,3,2,1,7,6]=>[3,4,5,6,7,1,2]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[5,4,2,3,6,1,7]=>[6,4,3,2,5,1,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[5,4,2,3,6,7,1]=>[7,4,3,2,5,6,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[5,4,2,3,7,1,6]=>[6,4,3,2,7,1,5]=>[2,4,5,6,1,7,3]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[5,4,2,3,7,6,1]=>[7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[5,4,2,6,1,3,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[5,4,2,6,1,7,3]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,4,2,6,3,1,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[5,4,2,6,3,7,1]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,4,2,6,7,1,3]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[5,4,2,6,7,3,1]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[5,4,2,7,1,3,6]=>[6,5,3,7,2,1,4]=>[2,3,5,1,6,7,4]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[5,4,2,7,1,6,3]=>[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,4,2,7,3,1,6]=>[6,5,3,7,2,1,4]=>[2,3,5,1,6,7,4]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[5,4,2,7,3,6,1]=>[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,4,2,7,6,1,3]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,4,2,7,6,3,1]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,4,3,1,2,6,7]=>[5,4,3,2,1,6,7]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[5,4,3,1,2,7,6]=>[5,4,3,2,1,7,6]=>[3,4,5,6,7,1,2]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[5,4,3,1,6,2,7]=>[6,4,3,2,5,1,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[5,4,3,1,6,7,2]=>[7,4,3,2,5,6,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[5,4,3,1,7,2,6]=>[6,4,3,2,7,1,5]=>[2,4,5,6,1,7,3]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[5,4,3,1,7,6,2]=>[7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>[3,4,5,6,7,1,2]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[5,4,3,2,6,1,7]=>[6,4,3,2,5,1,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[5,4,3,2,6,7,1]=>[7,4,3,2,5,6,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[5,4,3,2,7,1,6]=>[6,4,3,2,7,1,5]=>[2,4,5,6,1,7,3]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[5,4,3,2,7,6,1]=>[7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[5,4,3,6,1,2,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[5,4,3,6,1,7,2]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,4,3,6,2,1,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[5,4,3,6,2,7,1]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,4,3,6,7,1,2]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[5,4,3,6,7,2,1]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[5,4,3,7,1,2,6]=>[6,5,3,7,2,1,4]=>[2,3,5,1,6,7,4]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[5,4,3,7,1,6,2]=>[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,4,3,7,2,1,6]=>[6,5,3,7,2,1,4]=>[2,3,5,1,6,7,4]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[5,4,3,7,2,6,1]=>[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,4,3,7,6,1,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,4,3,7,6,2,1]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,4,6,1,2,3,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[5,4,6,1,2,7,3]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,4,6,1,3,2,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[5,4,6,1,3,7,2]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,4,6,1,7,2,3]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[5,4,6,1,7,3,2]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[5,4,6,2,1,3,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[5,4,6,2,1,7,3]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,4,6,2,3,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[5,4,6,2,3,7,1]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,4,6,2,7,1,3]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[5,4,6,2,7,3,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[5,4,6,3,1,2,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[5,4,6,3,1,7,2]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,4,6,3,2,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[5,4,6,3,2,7,1]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,4,6,3,7,1,2]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[5,4,6,3,7,2,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[5,4,6,7,1,2,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,4,6,7,1,3,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,4,6,7,2,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,4,6,7,2,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,4,6,7,3,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,4,6,7,3,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,4,7,1,2,3,6]=>[6,5,7,4,2,1,3]=>[2,3,1,4,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[5,4,7,1,2,6,3]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,4,7,1,3,2,6]=>[6,5,7,4,2,1,3]=>[2,3,1,4,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[5,4,7,1,3,6,2]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,4,7,1,6,2,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,4,7,1,6,3,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,4,7,2,1,3,6]=>[6,5,7,4,2,1,3]=>[2,3,1,4,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[5,4,7,2,1,6,3]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,4,7,2,3,1,6]=>[6,5,7,4,2,1,3]=>[2,3,1,4,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[5,4,7,2,3,6,1]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,4,7,2,6,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,4,7,2,6,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,4,7,3,1,2,6]=>[6,5,7,4,2,1,3]=>[2,3,1,4,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[5,4,7,3,1,6,2]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,4,7,3,2,1,6]=>[6,5,7,4,2,1,3]=>[2,3,1,4,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[5,4,7,3,2,6,1]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,4,7,3,6,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,4,7,3,6,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,4,7,6,1,2,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,4,7,6,1,3,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,4,7,6,2,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,4,7,6,2,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,4,7,6,3,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,4,7,6,3,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,1,2,3,4,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[5,6,1,2,3,7,4]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,6,1,2,4,3,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[5,6,1,2,4,7,3]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,6,1,2,7,3,4]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[5,6,1,2,7,4,3]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[5,6,1,3,2,4,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[5,6,1,3,2,7,4]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,6,1,3,4,2,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[5,6,1,3,4,7,2]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,6,1,3,7,2,4]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[5,6,1,3,7,4,2]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[5,6,1,4,2,3,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[5,6,1,4,2,7,3]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,6,1,4,3,2,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[5,6,1,4,3,7,2]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,6,1,4,7,2,3]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[5,6,1,4,7,3,2]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[5,6,1,7,2,3,4]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,6,1,7,2,4,3]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,6,1,7,3,2,4]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,6,1,7,3,4,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,6,1,7,4,2,3]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,6,1,7,4,3,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,6,2,1,3,4,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[5,6,2,1,3,7,4]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,6,2,1,4,3,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[5,6,2,1,4,7,3]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,6,2,1,7,3,4]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[5,6,2,1,7,4,3]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[5,6,2,3,1,4,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[5,6,2,3,1,7,4]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,6,2,3,4,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[5,6,2,3,4,7,1]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,6,2,3,7,1,4]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[5,6,2,3,7,4,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[5,6,2,4,1,3,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[5,6,2,4,1,7,3]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,6,2,4,3,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[5,6,2,4,3,7,1]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,6,2,4,7,1,3]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[5,6,2,4,7,3,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[5,6,2,7,1,3,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,2,7,1,4,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,2,7,3,1,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,2,7,3,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,2,7,4,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,2,7,4,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,3,1,2,4,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[5,6,3,1,2,7,4]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,6,3,1,4,2,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[5,6,3,1,4,7,2]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,6,3,1,7,2,4]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[5,6,3,1,7,4,2]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[5,6,3,2,1,4,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[5,6,3,2,1,7,4]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,6,3,2,4,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[5,6,3,2,4,7,1]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,6,3,2,7,1,4]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[5,6,3,2,7,4,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[5,6,3,4,1,2,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[5,6,3,4,1,7,2]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,6,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[5,6,3,4,2,7,1]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,6,3,4,7,1,2]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[5,6,3,4,7,2,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[5,6,3,7,1,2,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,3,7,1,4,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,3,7,2,1,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,3,7,2,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,3,7,4,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,3,7,4,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,4,1,2,3,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[5,6,4,1,2,7,3]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,6,4,1,3,2,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[5,6,4,1,3,7,2]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,6,4,1,7,2,3]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[5,6,4,1,7,3,2]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[5,6,4,2,1,3,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[5,6,4,2,1,7,3]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,6,4,2,3,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[5,6,4,2,3,7,1]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,6,4,2,7,1,3]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[5,6,4,2,7,3,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[5,6,4,3,1,2,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[5,6,4,3,1,7,2]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,6,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[5,6,4,3,2,7,1]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,6,4,3,7,1,2]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[5,6,4,3,7,2,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[5,6,4,7,1,2,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,4,7,1,3,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,4,7,2,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,4,7,2,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,4,7,3,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,4,7,3,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,7,1,2,3,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,7,1,2,4,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,7,1,3,2,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,7,1,3,4,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,7,1,4,2,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,7,1,4,3,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,7,2,1,3,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,7,2,1,4,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,7,2,3,1,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,7,2,3,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,7,2,4,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,7,2,4,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,7,3,1,2,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,7,3,1,4,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,7,3,2,1,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,7,3,2,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,7,3,4,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,7,3,4,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,7,4,1,2,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,7,4,1,3,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,7,4,2,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,7,4,2,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,7,4,3,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,7,4,3,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,1,2,3,4,6]=>[6,7,3,4,5,1,2]=>[2,1,5,4,3,7,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[5,7,1,2,3,6,4]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[5,7,1,2,4,3,6]=>[6,7,3,4,5,1,2]=>[2,1,5,4,3,7,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[5,7,1,2,4,6,3]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[5,7,1,2,6,3,4]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[5,7,1,2,6,4,3]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[5,7,1,3,2,4,6]=>[6,7,3,5,4,1,2]=>[2,1,5,3,4,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[5,7,1,3,2,6,4]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,7,1,3,4,2,6]=>[6,7,3,5,4,1,2]=>[2,1,5,3,4,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[5,7,1,3,4,6,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,7,1,3,6,2,4]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,7,1,3,6,4,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,7,1,4,2,3,6]=>[6,7,3,5,4,1,2]=>[2,1,5,3,4,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[5,7,1,4,2,6,3]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,7,1,4,3,2,6]=>[6,7,3,5,4,1,2]=>[2,1,5,3,4,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[5,7,1,4,3,6,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,7,1,4,6,2,3]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,7,1,4,6,3,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,7,1,6,2,3,4]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,7,1,6,2,4,3]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,7,1,6,3,2,4]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,7,1,6,3,4,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,7,1,6,4,2,3]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,7,1,6,4,3,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,7,2,1,3,4,6]=>[6,7,4,3,5,1,2]=>[2,1,4,5,3,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[5,7,2,1,3,6,4]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[5,7,2,1,4,3,6]=>[6,7,4,3,5,1,2]=>[2,1,4,5,3,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[5,7,2,1,4,6,3]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[5,7,2,1,6,3,4]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[5,7,2,1,6,4,3]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[5,7,2,3,1,4,6]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[5,7,2,3,1,6,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,2,3,4,1,6]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[5,7,2,3,4,6,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,2,3,6,1,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,2,3,6,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,2,4,1,3,6]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[5,7,2,4,1,6,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,2,4,3,1,6]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[5,7,2,4,3,6,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,2,4,6,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,2,4,6,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,2,6,1,3,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,2,6,1,4,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,2,6,3,1,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,2,6,3,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,2,6,4,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,2,6,4,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,3,1,2,4,6]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[5,7,3,1,2,6,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,3,1,4,2,6]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[5,7,3,1,4,6,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,3,1,6,2,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,3,1,6,4,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,3,2,1,4,6]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[5,7,3,2,1,6,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,3,2,4,1,6]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[5,7,3,2,4,6,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,3,2,6,1,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,3,2,6,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,3,4,1,2,6]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[5,7,3,4,1,6,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,3,4,2,1,6]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[5,7,3,4,2,6,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,3,4,6,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,3,4,6,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,3,6,1,2,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,3,6,1,4,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,3,6,2,1,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,3,6,2,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,3,6,4,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,3,6,4,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,4,1,2,3,6]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[5,7,4,1,2,6,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,4,1,3,2,6]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[5,7,4,1,3,6,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,4,1,6,2,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,4,1,6,3,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,4,2,1,3,6]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[5,7,4,2,1,6,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,4,2,3,1,6]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[5,7,4,2,3,6,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,4,2,6,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,4,2,6,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,4,3,1,2,6]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[5,7,4,3,1,6,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,4,3,2,1,6]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[5,7,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,4,3,6,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,4,3,6,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,4,6,1,2,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,4,6,1,3,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,4,6,2,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,4,6,2,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,4,6,3,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,4,6,3,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,6,1,2,3,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,6,1,2,4,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,6,1,3,2,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,6,1,3,4,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,6,1,4,2,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,6,1,4,3,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,6,2,1,3,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,6,2,1,4,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,6,2,3,1,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,6,2,3,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,6,2,4,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,6,2,4,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,6,3,1,2,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,6,3,1,4,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,6,3,2,1,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,6,3,2,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,6,3,4,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,6,3,4,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,6,4,1,2,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,6,4,1,3,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,6,4,2,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,6,4,3,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,6,4,3,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,1,2,3,4,5,7]=>[6,2,3,4,5,1,7]=>[2,6,5,4,3,7,1]=>[[.,[[[[.,.],.],.],[.,.]]],.]
[6,1,2,3,4,7,5]=>[7,2,3,4,5,6,1]=>[1,6,5,4,3,2,7]=>[.,[[[[[.,.],.],.],.],[.,.]]]
[6,1,2,3,5,4,7]=>[6,2,3,4,5,1,7]=>[2,6,5,4,3,7,1]=>[[.,[[[[.,.],.],.],[.,.]]],.]
[6,1,2,3,5,7,4]=>[7,2,3,4,5,6,1]=>[1,6,5,4,3,2,7]=>[.,[[[[[.,.],.],.],.],[.,.]]]
[6,1,2,3,7,4,5]=>[7,2,3,4,6,5,1]=>[1,6,5,4,2,3,7]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[6,1,2,3,7,5,4]=>[7,2,3,4,6,5,1]=>[1,6,5,4,2,3,7]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[6,1,2,4,3,5,7]=>[6,2,3,5,4,1,7]=>[2,6,5,3,4,7,1]=>[[.,[[[.,.],.],[.,[.,.]]]],.]
[6,1,2,4,3,7,5]=>[7,2,3,5,4,6,1]=>[1,6,5,3,4,2,7]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[6,1,2,4,5,3,7]=>[6,2,3,5,4,1,7]=>[2,6,5,3,4,7,1]=>[[.,[[[.,.],.],[.,[.,.]]]],.]
[6,1,2,4,5,7,3]=>[7,2,3,5,4,6,1]=>[1,6,5,3,4,2,7]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[6,1,2,4,7,3,5]=>[7,2,3,6,5,4,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[6,1,2,4,7,5,3]=>[7,2,3,6,5,4,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[6,1,2,5,3,4,7]=>[6,2,3,5,4,1,7]=>[2,6,5,3,4,7,1]=>[[.,[[[.,.],.],[.,[.,.]]]],.]
[6,1,2,5,3,7,4]=>[7,2,3,5,4,6,1]=>[1,6,5,3,4,2,7]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[6,1,2,5,4,3,7]=>[6,2,3,5,4,1,7]=>[2,6,5,3,4,7,1]=>[[.,[[[.,.],.],[.,[.,.]]]],.]
[6,1,2,5,4,7,3]=>[7,2,3,5,4,6,1]=>[1,6,5,3,4,2,7]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[6,1,2,5,7,3,4]=>[7,2,3,6,5,4,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[6,1,2,5,7,4,3]=>[7,2,3,6,5,4,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[6,1,2,7,3,4,5]=>[7,2,3,6,5,4,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[6,1,2,7,3,5,4]=>[7,2,3,6,5,4,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[6,1,2,7,4,3,5]=>[7,2,3,6,5,4,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[6,1,2,7,4,5,3]=>[7,2,3,6,5,4,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[6,1,2,7,5,3,4]=>[7,2,3,6,5,4,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[6,1,2,7,5,4,3]=>[7,2,3,6,5,4,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[6,1,3,2,4,5,7]=>[6,2,4,3,5,1,7]=>[2,6,4,5,3,7,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[6,1,3,2,4,7,5]=>[7,2,4,3,5,6,1]=>[1,6,4,5,3,2,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[6,1,3,2,5,4,7]=>[6,2,4,3,5,1,7]=>[2,6,4,5,3,7,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[6,1,3,2,5,7,4]=>[7,2,4,3,5,6,1]=>[1,6,4,5,3,2,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[6,1,3,2,7,4,5]=>[7,2,4,3,6,5,1]=>[1,6,4,5,2,3,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[6,1,3,2,7,5,4]=>[7,2,4,3,6,5,1]=>[1,6,4,5,2,3,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[6,1,3,4,2,5,7]=>[6,2,5,4,3,1,7]=>[2,6,3,4,5,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[6,1,3,4,2,7,5]=>[7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[6,1,3,4,5,2,7]=>[6,2,5,4,3,1,7]=>[2,6,3,4,5,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[6,1,3,4,5,7,2]=>[7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[6,1,3,4,7,2,5]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,1,3,4,7,5,2]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,1,3,5,2,4,7]=>[6,2,5,4,3,1,7]=>[2,6,3,4,5,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[6,1,3,5,2,7,4]=>[7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[6,1,3,5,4,2,7]=>[6,2,5,4,3,1,7]=>[2,6,3,4,5,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[6,1,3,5,4,7,2]=>[7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[6,1,3,5,7,2,4]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,1,3,5,7,4,2]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,1,3,7,2,4,5]=>[7,2,5,6,3,4,1]=>[1,6,3,2,5,4,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[6,1,3,7,2,5,4]=>[7,2,5,6,3,4,1]=>[1,6,3,2,5,4,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[6,1,3,7,4,2,5]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,1,3,7,4,5,2]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,1,3,7,5,2,4]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,1,3,7,5,4,2]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,1,4,2,3,5,7]=>[6,2,5,4,3,1,7]=>[2,6,3,4,5,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[6,1,4,2,3,7,5]=>[7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[6,1,4,2,5,3,7]=>[6,2,5,4,3,1,7]=>[2,6,3,4,5,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[6,1,4,2,5,7,3]=>[7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[6,1,4,2,7,3,5]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,1,4,2,7,5,3]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,1,4,3,2,5,7]=>[6,2,5,4,3,1,7]=>[2,6,3,4,5,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[6,1,4,3,2,7,5]=>[7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[6,1,4,3,5,2,7]=>[6,2,5,4,3,1,7]=>[2,6,3,4,5,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[6,1,4,3,5,7,2]=>[7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[6,1,4,3,7,2,5]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,1,4,3,7,5,2]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,1,4,5,2,3,7]=>[6,2,5,4,3,1,7]=>[2,6,3,4,5,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[6,1,4,5,2,7,3]=>[7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[6,1,4,5,3,2,7]=>[6,2,5,4,3,1,7]=>[2,6,3,4,5,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[6,1,4,5,3,7,2]=>[7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[6,1,4,5,7,2,3]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,1,4,5,7,3,2]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,1,4,7,2,3,5]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,1,4,7,2,5,3]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,1,4,7,3,2,5]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,1,4,7,3,5,2]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,1,4,7,5,2,3]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,1,4,7,5,3,2]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,1,5,2,3,4,7]=>[6,2,5,4,3,1,7]=>[2,6,3,4,5,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[6,1,5,2,3,7,4]=>[7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[6,1,5,2,4,3,7]=>[6,2,5,4,3,1,7]=>[2,6,3,4,5,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[6,1,5,2,4,7,3]=>[7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[6,1,5,2,7,3,4]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,1,5,2,7,4,3]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,1,5,3,2,4,7]=>[6,2,5,4,3,1,7]=>[2,6,3,4,5,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[6,1,5,3,2,7,4]=>[7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[6,1,5,3,4,2,7]=>[6,2,5,4,3,1,7]=>[2,6,3,4,5,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[6,1,5,3,4,7,2]=>[7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[6,1,5,3,7,2,4]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,1,5,3,7,4,2]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,1,5,4,2,3,7]=>[6,2,5,4,3,1,7]=>[2,6,3,4,5,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[6,1,5,4,2,7,3]=>[7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[6,1,5,4,3,2,7]=>[6,2,5,4,3,1,7]=>[2,6,3,4,5,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[6,1,5,4,3,7,2]=>[7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[6,1,5,4,7,2,3]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,1,5,4,7,3,2]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,1,5,7,2,3,4]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,1,5,7,2,4,3]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,1,5,7,3,2,4]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,1,5,7,3,4,2]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,1,5,7,4,2,3]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,1,5,7,4,3,2]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,1,7,2,3,4,5]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,1,7,2,3,5,4]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,1,7,2,4,3,5]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,1,7,2,4,5,3]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,1,7,2,5,3,4]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,1,7,2,5,4,3]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,1,7,3,2,4,5]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,1,7,3,2,5,4]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,1,7,3,4,2,5]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,1,7,3,4,5,2]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,1,7,3,5,2,4]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,1,7,3,5,4,2]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,1,7,4,2,3,5]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,1,7,4,2,5,3]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,1,7,4,3,2,5]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,1,7,4,3,5,2]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,1,7,4,5,2,3]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,1,7,4,5,3,2]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,1,7,5,2,3,4]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,1,7,5,2,4,3]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,1,7,5,3,2,4]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,1,7,5,3,4,2]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,1,7,5,4,2,3]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,1,7,5,4,3,2]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,2,1,3,4,5,7]=>[6,3,2,4,5,1,7]=>[2,5,6,4,3,7,1]=>[[.,[[[.,[.,.]],.],[.,.]]],.]
[6,2,1,3,4,7,5]=>[7,3,2,4,5,6,1]=>[1,5,6,4,3,2,7]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[6,2,1,3,5,4,7]=>[6,3,2,4,5,1,7]=>[2,5,6,4,3,7,1]=>[[.,[[[.,[.,.]],.],[.,.]]],.]
[6,2,1,3,5,7,4]=>[7,3,2,4,5,6,1]=>[1,5,6,4,3,2,7]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[6,2,1,3,7,4,5]=>[7,3,2,4,6,5,1]=>[1,5,6,4,2,3,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[6,2,1,3,7,5,4]=>[7,3,2,4,6,5,1]=>[1,5,6,4,2,3,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[6,2,1,4,3,5,7]=>[6,3,2,5,4,1,7]=>[2,5,6,3,4,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[6,2,1,4,3,7,5]=>[7,3,2,5,4,6,1]=>[1,5,6,3,4,2,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[6,2,1,4,5,3,7]=>[6,3,2,5,4,1,7]=>[2,5,6,3,4,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[6,2,1,4,5,7,3]=>[7,3,2,5,4,6,1]=>[1,5,6,3,4,2,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[6,2,1,4,7,3,5]=>[7,3,2,6,5,4,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[6,2,1,4,7,5,3]=>[7,3,2,6,5,4,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[6,2,1,5,3,4,7]=>[6,3,2,5,4,1,7]=>[2,5,6,3,4,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[6,2,1,5,3,7,4]=>[7,3,2,5,4,6,1]=>[1,5,6,3,4,2,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[6,2,1,5,4,3,7]=>[6,3,2,5,4,1,7]=>[2,5,6,3,4,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[6,2,1,5,4,7,3]=>[7,3,2,5,4,6,1]=>[1,5,6,3,4,2,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[6,2,1,5,7,3,4]=>[7,3,2,6,5,4,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[6,2,1,5,7,4,3]=>[7,3,2,6,5,4,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[6,2,1,7,3,4,5]=>[7,3,2,6,5,4,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[6,2,1,7,3,5,4]=>[7,3,2,6,5,4,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[6,2,1,7,4,3,5]=>[7,3,2,6,5,4,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[6,2,1,7,4,5,3]=>[7,3,2,6,5,4,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[6,2,1,7,5,3,4]=>[7,3,2,6,5,4,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[6,2,1,7,5,4,3]=>[7,3,2,6,5,4,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[6,2,3,1,4,5,7]=>[6,4,3,2,5,1,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[6,2,3,1,4,7,5]=>[7,4,3,2,5,6,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[6,2,3,1,5,4,7]=>[6,4,3,2,5,1,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[6,2,3,1,5,7,4]=>[7,4,3,2,5,6,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[6,2,3,1,7,4,5]=>[7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[6,2,3,1,7,5,4]=>[7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[6,2,3,4,1,5,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[6,2,3,4,1,7,5]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[6,2,3,4,5,1,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[6,2,3,4,5,7,1]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[6,2,3,4,7,1,5]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[6,2,3,4,7,5,1]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[6,2,3,5,1,4,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[6,2,3,5,1,7,4]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[6,2,3,5,4,1,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[6,2,3,5,4,7,1]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[6,2,3,5,7,1,4]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[6,2,3,5,7,4,1]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[6,2,3,7,1,4,5]=>[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[6,2,3,7,1,5,4]=>[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[6,2,3,7,4,1,5]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,2,3,7,4,5,1]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,2,3,7,5,1,4]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,2,3,7,5,4,1]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,2,4,1,3,5,7]=>[6,4,5,2,3,1,7]=>[2,4,3,6,5,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[6,2,4,1,3,7,5]=>[7,4,5,2,3,6,1]=>[1,4,3,6,5,2,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[6,2,4,1,5,3,7]=>[6,4,5,2,3,1,7]=>[2,4,3,6,5,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[6,2,4,1,5,7,3]=>[7,4,5,2,3,6,1]=>[1,4,3,6,5,2,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[6,2,4,1,7,3,5]=>[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,2,4,1,7,5,3]=>[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,2,4,3,1,5,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,2,4,3,1,7,5]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,2,4,3,5,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,2,4,3,5,7,1]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,2,4,3,7,1,5]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,2,4,3,7,5,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,2,4,5,1,3,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,2,4,5,1,7,3]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,2,4,5,3,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,2,4,5,3,7,1]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,2,4,5,7,1,3]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,2,4,5,7,3,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,2,4,7,1,3,5]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[6,2,4,7,1,5,3]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[6,2,4,7,3,1,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,2,4,7,3,5,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,2,4,7,5,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,2,4,7,5,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,2,5,1,3,4,7]=>[6,4,5,2,3,1,7]=>[2,4,3,6,5,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[6,2,5,1,3,7,4]=>[7,4,5,2,3,6,1]=>[1,4,3,6,5,2,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[6,2,5,1,4,3,7]=>[6,4,5,2,3,1,7]=>[2,4,3,6,5,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[6,2,5,1,4,7,3]=>[7,4,5,2,3,6,1]=>[1,4,3,6,5,2,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[6,2,5,1,7,3,4]=>[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,2,5,1,7,4,3]=>[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,2,5,3,1,4,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,2,5,3,1,7,4]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,2,5,3,4,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,2,5,3,4,7,1]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,2,5,3,7,1,4]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,2,5,3,7,4,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,2,5,4,1,3,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,2,5,4,1,7,3]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,2,5,4,3,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,2,5,4,3,7,1]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,2,5,4,7,1,3]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,2,5,4,7,3,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,2,5,7,1,3,4]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[6,2,5,7,1,4,3]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[6,2,5,7,3,1,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,2,5,7,3,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,2,5,7,4,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,2,5,7,4,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,2,7,1,3,4,5]=>[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,2,7,1,3,5,4]=>[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,2,7,1,4,3,5]=>[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,2,7,1,4,5,3]=>[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,2,7,1,5,3,4]=>[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,2,7,1,5,4,3]=>[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,2,7,3,1,4,5]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[6,2,7,3,1,5,4]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[6,2,7,3,4,1,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,2,7,3,4,5,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,2,7,3,5,1,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,2,7,3,5,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,2,7,4,1,3,5]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[6,2,7,4,1,5,3]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[6,2,7,4,3,1,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,2,7,4,3,5,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,2,7,4,5,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,2,7,4,5,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,2,7,5,1,3,4]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[6,2,7,5,1,4,3]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[6,2,7,5,3,1,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,2,7,5,3,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,2,7,5,4,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,2,7,5,4,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,3,1,2,4,5,7]=>[6,4,3,2,5,1,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[6,3,1,2,4,7,5]=>[7,4,3,2,5,6,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[6,3,1,2,5,4,7]=>[6,4,3,2,5,1,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[6,3,1,2,5,7,4]=>[7,4,3,2,5,6,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[6,3,1,2,7,4,5]=>[7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[6,3,1,2,7,5,4]=>[7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[6,3,1,4,2,5,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[6,3,1,4,2,7,5]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[6,3,1,4,5,2,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[6,3,1,4,5,7,2]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[6,3,1,4,7,2,5]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[6,3,1,4,7,5,2]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[6,3,1,5,2,4,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[6,3,1,5,2,7,4]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[6,3,1,5,4,2,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[6,3,1,5,4,7,2]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[6,3,1,5,7,2,4]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[6,3,1,5,7,4,2]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[6,3,1,7,2,4,5]=>[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[6,3,1,7,2,5,4]=>[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[6,3,1,7,4,2,5]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,3,1,7,4,5,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,3,1,7,5,2,4]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,3,1,7,5,4,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,3,2,1,4,5,7]=>[6,4,3,2,5,1,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[6,3,2,1,4,7,5]=>[7,4,3,2,5,6,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[6,3,2,1,5,4,7]=>[6,4,3,2,5,1,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[6,3,2,1,5,7,4]=>[7,4,3,2,5,6,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[6,3,2,1,7,4,5]=>[7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[6,3,2,1,7,5,4]=>[7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[6,3,2,4,1,5,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[6,3,2,4,1,7,5]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[6,3,2,4,5,1,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[6,3,2,4,5,7,1]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[6,3,2,4,7,1,5]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[6,3,2,4,7,5,1]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[6,3,2,5,1,4,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[6,3,2,5,1,7,4]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[6,3,2,5,4,1,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[6,3,2,5,4,7,1]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[6,3,2,5,7,1,4]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[6,3,2,5,7,4,1]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[6,3,2,7,1,4,5]=>[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[6,3,2,7,1,5,4]=>[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[6,3,2,7,4,1,5]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,3,2,7,4,5,1]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,3,2,7,5,1,4]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,3,2,7,5,4,1]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,3,4,1,2,5,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,3,4,1,2,7,5]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,3,4,1,5,2,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,3,4,1,5,7,2]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,3,4,1,7,2,5]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,3,4,1,7,5,2]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,3,4,2,1,5,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,3,4,2,1,7,5]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,3,4,2,5,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,3,4,2,5,7,1]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,3,4,2,7,1,5]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,3,4,2,7,5,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,3,4,5,1,2,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,3,4,5,1,7,2]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,3,4,5,2,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,3,4,5,2,7,1]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,3,4,5,7,1,2]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,3,4,5,7,2,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,3,4,7,1,2,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,3,4,7,1,5,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,3,4,7,2,1,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,3,4,7,2,5,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,3,4,7,5,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,3,4,7,5,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,3,5,1,2,4,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,3,5,1,2,7,4]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,3,5,1,4,2,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,3,5,1,4,7,2]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,3,5,1,7,2,4]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,3,5,1,7,4,2]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,3,5,2,1,4,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,3,5,2,1,7,4]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,3,5,2,4,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,3,5,2,4,7,1]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,3,5,2,7,1,4]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,3,5,2,7,4,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,3,5,4,1,2,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,3,5,4,1,7,2]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,3,5,4,2,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,3,5,4,2,7,1]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,3,5,4,7,1,2]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,3,5,4,7,2,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,3,5,7,1,2,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,3,5,7,1,4,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,3,5,7,2,1,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,3,5,7,2,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,3,5,7,4,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,3,5,7,4,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,3,7,1,2,4,5]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[6,3,7,1,2,5,4]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[6,3,7,1,4,2,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,3,7,1,4,5,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,3,7,1,5,2,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,3,7,1,5,4,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,3,7,2,1,4,5]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[6,3,7,2,1,5,4]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[6,3,7,2,4,1,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,3,7,2,4,5,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,3,7,2,5,1,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,3,7,2,5,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,3,7,4,1,2,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,3,7,4,1,5,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,3,7,4,2,1,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,3,7,4,2,5,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,3,7,4,5,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,3,7,4,5,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,3,7,5,1,2,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,3,7,5,1,4,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,3,7,5,2,1,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,3,7,5,2,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,3,7,5,4,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,3,7,5,4,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,4,1,2,3,5,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[6,4,1,2,3,7,5]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[6,4,1,2,5,3,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[6,4,1,2,5,7,3]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[6,4,1,2,7,3,5]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[6,4,1,2,7,5,3]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[6,4,1,3,2,5,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[6,4,1,3,2,7,5]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[6,4,1,3,5,2,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[6,4,1,3,5,7,2]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[6,4,1,3,7,2,5]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[6,4,1,3,7,5,2]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[6,4,1,5,2,3,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[6,4,1,5,2,7,3]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[6,4,1,5,3,2,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[6,4,1,5,3,7,2]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[6,4,1,5,7,2,3]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[6,4,1,5,7,3,2]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[6,4,1,7,2,3,5]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,4,1,7,2,5,3]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,4,1,7,3,2,5]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,4,1,7,3,5,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,4,1,7,5,2,3]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,4,1,7,5,3,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,4,2,1,3,5,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,4,2,1,3,7,5]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,4,2,1,5,3,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,4,2,1,5,7,3]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,4,2,1,7,3,5]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,4,2,1,7,5,3]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,4,2,3,1,5,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,4,2,3,1,7,5]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,4,2,3,5,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,4,2,3,5,7,1]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,4,2,3,7,1,5]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,4,2,3,7,5,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,4,2,5,1,3,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,4,2,5,1,7,3]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,4,2,5,3,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,4,2,5,3,7,1]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,4,2,5,7,1,3]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,4,2,5,7,3,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,4,2,7,1,3,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,4,2,7,1,5,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,4,2,7,3,1,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,4,2,7,3,5,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,4,2,7,5,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,4,2,7,5,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,4,3,1,2,5,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,4,3,1,2,7,5]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,4,3,1,5,2,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,4,3,1,5,7,2]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,4,3,1,7,2,5]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,4,3,1,7,5,2]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,4,3,2,1,5,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,4,3,2,1,7,5]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,4,3,2,5,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,4,3,2,5,7,1]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,4,3,2,7,1,5]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,4,3,2,7,5,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,4,3,5,1,2,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,4,3,5,1,7,2]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,4,3,5,2,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,4,3,5,2,7,1]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,4,3,5,7,1,2]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,4,3,5,7,2,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,4,3,7,1,2,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,4,3,7,1,5,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,4,3,7,2,1,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,4,3,7,2,5,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,4,3,7,5,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,4,3,7,5,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,4,5,1,2,3,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,4,5,1,2,7,3]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,4,5,1,3,2,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,4,5,1,3,7,2]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,4,5,1,7,2,3]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,4,5,1,7,3,2]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,4,5,2,1,3,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,4,5,2,1,7,3]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,4,5,2,3,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,4,5,2,3,7,1]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,4,5,2,7,1,3]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,4,5,2,7,3,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,4,5,3,1,2,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,4,5,3,1,7,2]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,4,5,3,2,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,4,5,3,2,7,1]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,4,5,3,7,1,2]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,4,5,3,7,2,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,4,5,7,1,2,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,4,5,7,1,3,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,4,5,7,2,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,4,5,7,2,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,4,5,7,3,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,4,5,7,3,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,4,7,1,2,3,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,4,7,1,2,5,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,4,7,1,3,2,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,4,7,1,3,5,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,4,7,1,5,2,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,4,7,1,5,3,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,4,7,2,1,3,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,4,7,2,1,5,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,4,7,2,3,1,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,4,7,2,3,5,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,4,7,2,5,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,4,7,2,5,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,4,7,3,1,2,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,4,7,3,1,5,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,4,7,3,2,1,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,4,7,3,2,5,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,4,7,3,5,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,4,7,3,5,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,4,7,5,1,2,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,4,7,5,1,3,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,4,7,5,2,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,4,7,5,2,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,4,7,5,3,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,4,7,5,3,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,5,1,2,3,4,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[6,5,1,2,3,7,4]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[6,5,1,2,4,3,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[6,5,1,2,4,7,3]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[6,5,1,2,7,3,4]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[6,5,1,2,7,4,3]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[6,5,1,3,2,4,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[6,5,1,3,2,7,4]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[6,5,1,3,4,2,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[6,5,1,3,4,7,2]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[6,5,1,3,7,2,4]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[6,5,1,3,7,4,2]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[6,5,1,4,2,3,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[6,5,1,4,2,7,3]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[6,5,1,4,3,2,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[6,5,1,4,3,7,2]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[6,5,1,4,7,2,3]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[6,5,1,4,7,3,2]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[6,5,1,7,2,3,4]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,5,1,7,2,4,3]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,5,1,7,3,2,4]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,5,1,7,3,4,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,5,1,7,4,2,3]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,5,1,7,4,3,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,5,2,1,3,4,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,5,2,1,3,7,4]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,5,2,1,4,3,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,5,2,1,4,7,3]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,5,2,1,7,3,4]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,5,2,1,7,4,3]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,5,2,3,1,4,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,5,2,3,1,7,4]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,5,2,3,4,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,5,2,3,4,7,1]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,5,2,3,7,1,4]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,5,2,3,7,4,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,5,2,4,1,3,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,5,2,4,1,7,3]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,5,2,4,3,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,5,2,4,3,7,1]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,5,2,4,7,1,3]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,5,2,4,7,3,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,5,2,7,1,3,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,5,2,7,1,4,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,5,2,7,3,1,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,5,2,7,3,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,5,2,7,4,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,5,2,7,4,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,5,3,1,2,4,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,5,3,1,2,7,4]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,5,3,1,4,2,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,5,3,1,4,7,2]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,5,3,1,7,2,4]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,5,3,1,7,4,2]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,5,3,2,1,4,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,5,3,2,1,7,4]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,5,3,2,4,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,5,3,2,4,7,1]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,5,3,2,7,1,4]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,5,3,2,7,4,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,5,3,4,1,2,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,5,3,4,1,7,2]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,5,3,4,2,7,1]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,5,3,4,7,1,2]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,5,3,4,7,2,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,5,3,7,1,2,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,5,3,7,1,4,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,5,3,7,2,1,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,5,3,7,2,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,5,3,7,4,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,5,3,7,4,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,5,4,1,2,3,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,5,4,1,2,7,3]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,5,4,1,3,2,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,5,4,1,3,7,2]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,5,4,1,7,2,3]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,5,4,1,7,3,2]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,5,4,2,1,3,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,5,4,2,1,7,3]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,5,4,2,3,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,5,4,2,3,7,1]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,5,4,2,7,1,3]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,5,4,2,7,3,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,5,4,3,1,2,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,5,4,3,1,7,2]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,5,4,3,2,7,1]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,5,4,3,7,1,2]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,5,4,3,7,2,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,5,4,7,1,2,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,5,4,7,1,3,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,5,4,7,2,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,5,4,7,2,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,5,4,7,3,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,5,4,7,3,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,5,7,1,2,3,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,5,7,1,2,4,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,5,7,1,3,2,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,5,7,1,3,4,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,5,7,1,4,2,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,5,7,1,4,3,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,5,7,2,1,3,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,5,7,2,1,4,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,5,7,2,3,1,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,5,7,2,3,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,5,7,2,4,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,5,7,2,4,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,5,7,3,1,2,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,5,7,3,1,4,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,5,7,3,2,1,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,5,7,3,2,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,5,7,3,4,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,5,7,3,4,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,5,7,4,1,2,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,5,7,4,1,3,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,5,7,4,2,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,5,7,4,2,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,5,7,4,3,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,5,7,4,3,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,1,2,3,4,5]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[6,7,1,2,3,5,4]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[6,7,1,2,4,3,5]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[6,7,1,2,4,5,3]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[6,7,1,2,5,3,4]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[6,7,1,2,5,4,3]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[6,7,1,3,2,4,5]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,7,1,3,2,5,4]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,7,1,3,4,2,5]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,7,1,3,4,5,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,7,1,3,5,2,4]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,7,1,3,5,4,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,7,1,4,2,3,5]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,7,1,4,2,5,3]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,7,1,4,3,2,5]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,7,1,4,3,5,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,7,1,4,5,2,3]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,7,1,4,5,3,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,7,1,5,2,3,4]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,7,1,5,2,4,3]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,7,1,5,3,2,4]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,7,1,5,3,4,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,7,1,5,4,2,3]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,7,1,5,4,3,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,7,2,1,3,4,5]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,7,2,1,3,5,4]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,7,2,1,4,3,5]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,7,2,1,4,5,3]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,7,2,1,5,3,4]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,7,2,1,5,4,3]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,7,2,3,1,4,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,2,3,1,5,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,2,3,4,1,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,2,3,4,5,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,2,3,5,1,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,2,3,5,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,2,4,1,3,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,2,4,1,5,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,2,4,3,1,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,2,4,3,5,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,2,4,5,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,2,4,5,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,2,5,1,3,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,2,5,1,4,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,2,5,3,1,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,2,5,3,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,2,5,4,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,2,5,4,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,3,1,2,4,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,3,1,2,5,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,3,1,4,2,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,3,1,4,5,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,3,1,5,2,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,3,1,5,4,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,3,2,1,4,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,3,2,1,5,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,3,2,4,1,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,3,2,4,5,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,3,2,5,1,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,3,2,5,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,3,4,1,2,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,3,4,1,5,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,3,4,2,1,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,3,4,2,5,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,3,4,5,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,3,5,1,2,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,3,5,1,4,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,3,5,2,1,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,3,5,2,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,3,5,4,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,4,1,2,3,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,4,1,2,5,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,4,1,3,2,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,4,1,3,5,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,4,1,5,2,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,4,1,5,3,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,4,2,1,3,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,4,2,1,5,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,4,2,3,1,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,4,2,3,5,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,4,2,5,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,4,2,5,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,4,3,1,2,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,4,3,1,5,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,4,3,2,1,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,4,3,2,5,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,4,3,5,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,4,5,1,2,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,4,5,1,3,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,4,5,2,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,4,5,2,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,4,5,3,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,4,5,3,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,5,1,2,3,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,5,1,2,4,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,5,1,3,2,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,5,1,3,4,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,5,1,4,2,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,5,1,4,3,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,5,2,1,3,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,5,2,1,4,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,5,2,3,1,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,5,2,3,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,5,2,4,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,5,2,4,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,5,3,1,2,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,5,3,1,4,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,5,3,2,1,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,5,3,2,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,5,3,4,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,5,3,4,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,5,4,1,2,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,5,4,1,3,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,5,4,2,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,5,4,2,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,1,2,3,4,5,6]=>[7,2,3,4,5,6,1]=>[1,6,5,4,3,2,7]=>[.,[[[[[.,.],.],.],.],[.,.]]]
[7,1,2,3,4,6,5]=>[7,2,3,4,5,6,1]=>[1,6,5,4,3,2,7]=>[.,[[[[[.,.],.],.],.],[.,.]]]
[7,1,2,3,5,4,6]=>[7,2,3,4,6,5,1]=>[1,6,5,4,2,3,7]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[7,1,2,3,5,6,4]=>[7,2,3,4,6,5,1]=>[1,6,5,4,2,3,7]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[7,1,2,3,6,4,5]=>[7,2,3,4,6,5,1]=>[1,6,5,4,2,3,7]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[7,1,2,3,6,5,4]=>[7,2,3,4,6,5,1]=>[1,6,5,4,2,3,7]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[7,1,2,4,3,5,6]=>[7,2,3,5,4,6,1]=>[1,6,5,3,4,2,7]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[7,1,2,4,3,6,5]=>[7,2,3,5,4,6,1]=>[1,6,5,3,4,2,7]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[7,1,2,4,5,3,6]=>[7,2,3,6,5,4,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[7,1,2,4,5,6,3]=>[7,2,3,6,5,4,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[7,1,2,4,6,3,5]=>[7,2,3,6,5,4,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[7,1,2,4,6,5,3]=>[7,2,3,6,5,4,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[7,1,2,5,3,4,6]=>[7,2,3,6,5,4,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[7,1,2,5,3,6,4]=>[7,2,3,6,5,4,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[7,1,2,5,4,3,6]=>[7,2,3,6,5,4,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[7,1,2,5,4,6,3]=>[7,2,3,6,5,4,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[7,1,2,5,6,3,4]=>[7,2,3,6,5,4,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[7,1,2,5,6,4,3]=>[7,2,3,6,5,4,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[7,1,2,6,3,4,5]=>[7,2,3,6,5,4,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[7,1,2,6,3,5,4]=>[7,2,3,6,5,4,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[7,1,2,6,4,3,5]=>[7,2,3,6,5,4,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[7,1,2,6,4,5,3]=>[7,2,3,6,5,4,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[7,1,2,6,5,3,4]=>[7,2,3,6,5,4,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[7,1,2,6,5,4,3]=>[7,2,3,6,5,4,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[7,1,3,2,4,5,6]=>[7,2,4,3,5,6,1]=>[1,6,4,5,3,2,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[7,1,3,2,4,6,5]=>[7,2,4,3,5,6,1]=>[1,6,4,5,3,2,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[7,1,3,2,5,4,6]=>[7,2,4,3,6,5,1]=>[1,6,4,5,2,3,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,1,3,2,5,6,4]=>[7,2,4,3,6,5,1]=>[1,6,4,5,2,3,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,1,3,2,6,4,5]=>[7,2,4,3,6,5,1]=>[1,6,4,5,2,3,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,1,3,2,6,5,4]=>[7,2,4,3,6,5,1]=>[1,6,4,5,2,3,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,1,3,4,2,5,6]=>[7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[7,1,3,4,2,6,5]=>[7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[7,1,3,4,5,2,6]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,1,3,4,5,6,2]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,1,3,4,6,2,5]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,1,3,4,6,5,2]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,1,3,5,2,4,6]=>[7,2,5,6,3,4,1]=>[1,6,3,2,5,4,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[7,1,3,5,2,6,4]=>[7,2,5,6,3,4,1]=>[1,6,3,2,5,4,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[7,1,3,5,4,2,6]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,3,5,4,6,2]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,3,5,6,2,4]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,3,5,6,4,2]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,3,6,2,4,5]=>[7,2,5,6,3,4,1]=>[1,6,3,2,5,4,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[7,1,3,6,2,5,4]=>[7,2,5,6,3,4,1]=>[1,6,3,2,5,4,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[7,1,3,6,4,2,5]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,3,6,4,5,2]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,3,6,5,2,4]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,3,6,5,4,2]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,4,2,3,5,6]=>[7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[7,1,4,2,3,6,5]=>[7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[7,1,4,2,5,3,6]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,1,4,2,5,6,3]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,1,4,2,6,3,5]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,1,4,2,6,5,3]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,1,4,3,2,5,6]=>[7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[7,1,4,3,2,6,5]=>[7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[7,1,4,3,5,2,6]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,1,4,3,5,6,2]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,1,4,3,6,2,5]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,1,4,3,6,5,2]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,1,4,5,2,3,6]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,4,5,2,6,3]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,4,5,3,2,6]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,4,5,3,6,2]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,4,5,6,2,3]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,4,5,6,3,2]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,4,6,2,3,5]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,4,6,2,5,3]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,4,6,3,2,5]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,4,6,3,5,2]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,4,6,5,2,3]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,4,6,5,3,2]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,5,2,3,4,6]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,1,5,2,3,6,4]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,1,5,2,4,3,6]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,1,5,2,4,6,3]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,1,5,2,6,3,4]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,1,5,2,6,4,3]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,1,5,3,2,4,6]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,5,3,2,6,4]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,5,3,4,2,6]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
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[7,1,5,3,6,2,4]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,5,3,6,4,2]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,5,4,2,3,6]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,5,4,2,6,3]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,5,4,3,2,6]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,5,4,3,6,2]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,5,4,6,2,3]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,5,4,6,3,2]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,5,6,2,3,4]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,5,6,2,4,3]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,5,6,3,2,4]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,5,6,3,4,2]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,5,6,4,2,3]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,5,6,4,3,2]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,6,2,3,4,5]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,1,6,2,3,5,4]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,1,6,2,4,3,5]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,1,6,2,4,5,3]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,1,6,2,5,3,4]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,1,6,2,5,4,3]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,1,6,3,2,4,5]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,6,3,2,5,4]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,6,3,4,2,5]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,6,3,4,5,2]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,6,3,5,2,4]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,6,3,5,4,2]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,6,4,2,3,5]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,6,4,2,5,3]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,6,4,3,2,5]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,6,4,3,5,2]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,6,4,5,2,3]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,6,4,5,3,2]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,6,5,2,3,4]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,6,5,2,4,3]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,6,5,3,2,4]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,6,5,3,4,2]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,6,5,4,2,3]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,6,5,4,3,2]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,2,1,3,4,5,6]=>[7,3,2,4,5,6,1]=>[1,5,6,4,3,2,7]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[7,2,1,3,4,6,5]=>[7,3,2,4,5,6,1]=>[1,5,6,4,3,2,7]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[7,2,1,3,5,4,6]=>[7,3,2,4,6,5,1]=>[1,5,6,4,2,3,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[7,2,1,3,5,6,4]=>[7,3,2,4,6,5,1]=>[1,5,6,4,2,3,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[7,2,1,3,6,4,5]=>[7,3,2,4,6,5,1]=>[1,5,6,4,2,3,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[7,2,1,3,6,5,4]=>[7,3,2,4,6,5,1]=>[1,5,6,4,2,3,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[7,2,1,4,3,5,6]=>[7,3,2,5,4,6,1]=>[1,5,6,3,4,2,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[7,2,1,4,3,6,5]=>[7,3,2,5,4,6,1]=>[1,5,6,3,4,2,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[7,2,1,4,5,3,6]=>[7,3,2,6,5,4,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,2,1,4,5,6,3]=>[7,3,2,6,5,4,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,2,1,4,6,3,5]=>[7,3,2,6,5,4,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,2,1,4,6,5,3]=>[7,3,2,6,5,4,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,2,1,5,3,4,6]=>[7,3,2,6,5,4,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,2,1,5,3,6,4]=>[7,3,2,6,5,4,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,2,1,5,4,3,6]=>[7,3,2,6,5,4,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,2,1,5,4,6,3]=>[7,3,2,6,5,4,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,2,1,5,6,3,4]=>[7,3,2,6,5,4,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,2,1,5,6,4,3]=>[7,3,2,6,5,4,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,2,1,6,3,4,5]=>[7,3,2,6,5,4,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,2,1,6,3,5,4]=>[7,3,2,6,5,4,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,2,1,6,4,3,5]=>[7,3,2,6,5,4,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,2,1,6,4,5,3]=>[7,3,2,6,5,4,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,2,1,6,5,3,4]=>[7,3,2,6,5,4,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,2,1,6,5,4,3]=>[7,3,2,6,5,4,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,2,3,1,4,5,6]=>[7,4,3,2,5,6,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[7,2,3,1,4,6,5]=>[7,4,3,2,5,6,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[7,2,3,1,5,4,6]=>[7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,2,3,1,5,6,4]=>[7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,2,3,1,6,4,5]=>[7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,2,3,1,6,5,4]=>[7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,2,3,4,1,5,6]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[7,2,3,4,1,6,5]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[7,2,3,4,5,1,6]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[7,2,3,4,5,6,1]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[7,2,3,4,6,1,5]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[7,2,3,4,6,5,1]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[7,2,3,5,1,4,6]=>[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,2,3,5,1,6,4]=>[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,2,3,5,4,1,6]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,2,3,5,4,6,1]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,2,3,5,6,1,4]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,2,3,5,6,4,1]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,2,3,6,1,4,5]=>[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,2,3,6,1,5,4]=>[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,2,3,6,4,1,5]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,2,3,6,4,5,1]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,2,3,6,5,1,4]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,2,3,6,5,4,1]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,2,4,1,3,5,6]=>[7,4,5,2,3,6,1]=>[1,4,3,6,5,2,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[7,2,4,1,3,6,5]=>[7,4,5,2,3,6,1]=>[1,4,3,6,5,2,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[7,2,4,1,5,3,6]=>[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,2,4,1,5,6,3]=>[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,2,4,1,6,3,5]=>[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,2,4,1,6,5,3]=>[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,2,4,3,1,5,6]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,2,4,3,1,6,5]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,2,4,3,5,1,6]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,2,4,3,5,6,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,2,4,3,6,1,5]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,2,4,3,6,5,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,2,4,5,1,3,6]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[7,2,4,5,1,6,3]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[7,2,4,5,3,1,6]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,2,4,5,3,6,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,2,4,5,6,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,2,4,5,6,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,2,4,6,1,3,5]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[7,2,4,6,1,5,3]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[7,2,4,6,3,1,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,2,4,6,3,5,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,2,4,6,5,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,2,4,6,5,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,2,5,1,3,4,6]=>[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,2,5,1,3,6,4]=>[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,2,5,1,4,3,6]=>[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,2,5,1,4,6,3]=>[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,2,5,1,6,3,4]=>[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,2,5,1,6,4,3]=>[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,2,5,3,1,4,6]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[7,2,5,3,1,6,4]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[7,2,5,3,4,1,6]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,2,5,3,4,6,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,2,5,3,6,1,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,2,5,3,6,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,2,5,4,1,3,6]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[7,2,5,4,1,6,3]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[7,2,5,4,3,1,6]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,2,5,4,3,6,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,2,5,4,6,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,2,5,4,6,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,2,5,6,1,3,4]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[7,2,5,6,1,4,3]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[7,2,5,6,3,1,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,2,5,6,3,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,2,5,6,4,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,2,5,6,4,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,2,6,1,3,4,5]=>[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,2,6,1,3,5,4]=>[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,2,6,1,4,3,5]=>[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,2,6,1,4,5,3]=>[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,2,6,1,5,3,4]=>[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,2,6,1,5,4,3]=>[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,2,6,3,1,4,5]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[7,2,6,3,1,5,4]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[7,2,6,3,4,1,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,2,6,3,4,5,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,2,6,3,5,1,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,2,6,3,5,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,2,6,4,1,3,5]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[7,2,6,4,1,5,3]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[7,2,6,4,3,1,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,2,6,4,3,5,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,2,6,4,5,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,2,6,4,5,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,2,6,5,1,3,4]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[7,2,6,5,1,4,3]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[7,2,6,5,3,1,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,2,6,5,3,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,2,6,5,4,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,1,2,4,5,6]=>[7,4,3,2,5,6,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[7,3,1,2,4,6,5]=>[7,4,3,2,5,6,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[7,3,1,2,5,4,6]=>[7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,3,1,2,5,6,4]=>[7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,3,1,2,6,4,5]=>[7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,3,1,2,6,5,4]=>[7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,3,1,4,2,5,6]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[7,3,1,4,2,6,5]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[7,3,1,4,5,2,6]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[7,3,1,4,5,6,2]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[7,3,1,4,6,2,5]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[7,3,1,4,6,5,2]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[7,3,1,5,2,4,6]=>[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,3,1,5,2,6,4]=>[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,3,1,5,4,2,6]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,3,1,5,4,6,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,3,1,5,6,2,4]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,3,1,5,6,4,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,3,1,6,2,4,5]=>[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,3,1,6,2,5,4]=>[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,3,1,6,4,2,5]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,3,1,6,4,5,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,3,1,6,5,2,4]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,3,1,6,5,4,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,3,2,1,4,5,6]=>[7,4,3,2,5,6,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[7,3,2,1,4,6,5]=>[7,4,3,2,5,6,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[7,3,2,1,5,4,6]=>[7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,3,2,1,5,6,4]=>[7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,3,2,1,6,4,5]=>[7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,3,2,1,6,5,4]=>[7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,3,2,4,1,5,6]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[7,3,2,4,1,6,5]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[7,3,2,4,5,1,6]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[7,3,2,4,5,6,1]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[7,3,2,4,6,1,5]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[7,3,2,4,6,5,1]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[7,3,2,5,1,4,6]=>[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,3,2,5,1,6,4]=>[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,3,2,5,4,1,6]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,3,2,5,4,6,1]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,3,2,5,6,1,4]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,3,2,5,6,4,1]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,3,2,6,1,4,5]=>[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,3,2,6,1,5,4]=>[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,3,2,6,4,1,5]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,3,2,6,4,5,1]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,3,2,6,5,1,4]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,3,2,6,5,4,1]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,3,4,1,2,5,6]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,3,4,1,2,6,5]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,3,4,1,5,2,6]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,3,4,1,5,6,2]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,3,4,1,6,2,5]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,3,4,1,6,5,2]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,3,4,2,1,5,6]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,3,4,2,1,6,5]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,3,4,2,5,1,6]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,3,4,2,5,6,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,3,4,2,6,1,5]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,3,4,2,6,5,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,3,4,5,1,2,6]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,4,5,1,6,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,4,5,2,1,6]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,4,5,2,6,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,4,5,6,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,4,5,6,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,4,6,1,2,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,4,6,1,5,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,4,6,2,1,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,4,6,2,5,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,4,6,5,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,4,6,5,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,5,1,2,4,6]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[7,3,5,1,2,6,4]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[7,3,5,1,4,2,6]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,5,1,4,6,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,5,1,6,2,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,5,1,6,4,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,5,2,1,4,6]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[7,3,5,2,1,6,4]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
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[7,3,5,2,4,6,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,5,2,6,1,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,5,2,6,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,5,4,1,2,6]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,5,4,1,6,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,5,4,2,1,6]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,5,4,2,6,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,5,4,6,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,5,4,6,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,5,6,1,2,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,5,6,1,4,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,5,6,2,1,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,5,6,2,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,5,6,4,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,5,6,4,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,6,1,2,4,5]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[7,3,6,1,2,5,4]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[7,3,6,1,4,2,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,6,1,4,5,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,6,1,5,2,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,6,1,5,4,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,6,2,1,4,5]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[7,3,6,2,1,5,4]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[7,3,6,2,4,1,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,6,2,4,5,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,6,2,5,1,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,6,2,5,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,6,4,1,2,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,6,4,1,5,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,6,4,2,1,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,6,4,2,5,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,6,4,5,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,6,4,5,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,6,5,1,2,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,6,5,1,4,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,6,5,2,1,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,6,5,2,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,6,5,4,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,6,5,4,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,1,2,3,5,6]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[7,4,1,2,3,6,5]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[7,4,1,2,5,3,6]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[7,4,1,2,5,6,3]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[7,4,1,2,6,3,5]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[7,4,1,2,6,5,3]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[7,4,1,3,2,5,6]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[7,4,1,3,2,6,5]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[7,4,1,3,5,2,6]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[7,4,1,3,5,6,2]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[7,4,1,3,6,2,5]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[7,4,1,3,6,5,2]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[7,4,1,5,2,3,6]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,4,1,5,2,6,3]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,4,1,5,3,2,6]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,4,1,5,3,6,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,4,1,5,6,2,3]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,4,1,5,6,3,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,4,1,6,2,3,5]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,4,1,6,2,5,3]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,4,1,6,3,2,5]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,4,1,6,3,5,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,4,1,6,5,2,3]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,4,1,6,5,3,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,4,2,1,3,5,6]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,4,2,1,3,6,5]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,4,2,1,5,3,6]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,4,2,1,5,6,3]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,4,2,1,6,3,5]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,4,2,1,6,5,3]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,4,2,3,1,5,6]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,4,2,3,1,6,5]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,4,2,3,5,1,6]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,4,2,3,5,6,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,4,2,3,6,1,5]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,4,2,3,6,5,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,4,2,5,1,3,6]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,2,5,1,6,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,2,5,3,1,6]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,2,5,3,6,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,2,5,6,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,2,5,6,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,2,6,1,3,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,2,6,1,5,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,2,6,3,1,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,2,6,3,5,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,2,6,5,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,2,6,5,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,3,1,2,5,6]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,4,3,1,2,6,5]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,4,3,1,5,2,6]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,4,3,1,5,6,2]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,4,3,1,6,2,5]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,4,3,1,6,5,2]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,4,3,2,1,5,6]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,4,3,2,1,6,5]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,4,3,2,5,1,6]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,4,3,2,5,6,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,4,3,2,6,1,5]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,4,3,2,6,5,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,4,3,5,1,2,6]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,3,5,1,6,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,3,5,2,1,6]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,3,5,2,6,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,3,5,6,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,3,5,6,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,3,6,1,2,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,3,6,1,5,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,3,6,2,1,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,3,6,2,5,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,3,6,5,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,3,6,5,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,5,1,2,3,6]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,5,1,2,6,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,5,1,3,2,6]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,5,1,3,6,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,5,1,6,2,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,5,1,6,3,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
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[7,4,5,2,1,6,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,5,2,3,1,6]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,5,2,3,6,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,5,2,6,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,5,2,6,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,5,3,1,2,6]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,5,3,1,6,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,5,3,2,1,6]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,5,3,2,6,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,5,3,6,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,5,3,6,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,5,6,1,2,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,5,6,1,3,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,5,6,2,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,5,6,2,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,5,6,3,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,5,6,3,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,6,1,2,3,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,6,1,2,5,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,6,1,3,2,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,6,1,3,5,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,6,1,5,2,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,6,1,5,3,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,6,2,1,3,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,6,2,1,5,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,6,2,3,1,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,6,2,3,5,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,6,2,5,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,6,2,5,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,6,3,1,2,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,6,3,1,5,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,6,3,2,1,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,6,3,2,5,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,6,3,5,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,6,3,5,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,6,5,1,2,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,6,5,1,3,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,6,5,2,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,6,5,2,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,6,5,3,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,6,5,3,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,1,2,3,4,6]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[7,5,1,2,3,6,4]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[7,5,1,2,4,3,6]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[7,5,1,2,4,6,3]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[7,5,1,2,6,3,4]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[7,5,1,2,6,4,3]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[7,5,1,3,2,4,6]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,5,1,3,2,6,4]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,5,1,3,4,2,6]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,5,1,3,4,6,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,5,1,3,6,2,4]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,5,1,3,6,4,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,5,1,4,2,3,6]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,5,1,4,2,6,3]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,5,1,4,3,2,6]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,5,1,4,3,6,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,5,1,4,6,2,3]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,5,1,4,6,3,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,5,1,6,2,3,4]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,5,1,6,2,4,3]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,5,1,6,3,2,4]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,5,1,6,3,4,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,5,1,6,4,2,3]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,5,1,6,4,3,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,5,2,1,3,4,6]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,5,2,1,3,6,4]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,5,2,1,4,3,6]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,5,2,1,4,6,3]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,5,2,1,6,3,4]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,5,2,1,6,4,3]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,5,2,3,1,4,6]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,2,3,1,6,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,2,3,4,1,6]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,2,3,4,6,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,2,3,6,1,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,2,3,6,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,2,4,1,3,6]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,2,4,1,6,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,2,4,3,1,6]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,2,4,3,6,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,2,4,6,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,2,4,6,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,2,6,1,3,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,2,6,1,4,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,2,6,3,1,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,2,6,3,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,2,6,4,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,2,6,4,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,3,1,2,4,6]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,3,1,2,6,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,3,1,4,2,6]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,3,1,4,6,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,3,1,6,2,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,3,1,6,4,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,3,2,1,4,6]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,3,2,1,6,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,3,2,4,1,6]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,3,2,4,6,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,3,2,6,1,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,3,2,6,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,3,4,1,2,6]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,3,4,1,6,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,3,4,2,1,6]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,3,4,2,6,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,3,4,6,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,3,4,6,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,3,6,1,2,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,3,6,1,4,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,3,6,2,1,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,3,6,2,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,3,6,4,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,3,6,4,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,4,1,2,3,6]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,4,1,2,6,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,4,1,3,2,6]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,4,1,3,6,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,4,1,6,2,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,4,1,6,3,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,4,2,1,3,6]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,4,2,1,6,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,4,2,3,1,6]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,4,2,3,6,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,4,2,6,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,4,2,6,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,4,3,1,2,6]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,4,3,1,6,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,4,3,2,1,6]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,4,3,6,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,4,3,6,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,4,6,1,2,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,4,6,1,3,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,4,6,2,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,4,6,2,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,4,6,3,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,4,6,3,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,6,1,2,3,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,6,1,2,4,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,6,1,3,2,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,6,1,3,4,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,6,1,4,2,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,6,1,4,3,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,6,2,1,3,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,6,2,1,4,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,6,2,3,1,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,6,2,3,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,6,2,4,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,6,2,4,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,6,3,1,2,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,6,3,1,4,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,6,3,2,1,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,6,3,2,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,6,3,4,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,6,3,4,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,6,4,1,2,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,6,4,1,3,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,6,4,2,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,6,4,3,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,6,4,3,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,1,2,3,4,5]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[7,6,1,2,3,5,4]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[7,6,1,2,4,3,5]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[7,6,1,2,4,5,3]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[7,6,1,2,5,3,4]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[7,6,1,2,5,4,3]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[7,6,1,3,2,4,5]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,6,1,3,2,5,4]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,6,1,3,4,2,5]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,6,1,3,4,5,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,6,1,3,5,2,4]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,6,1,3,5,4,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,6,1,4,2,3,5]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,6,1,4,2,5,3]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,6,1,4,3,2,5]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,6,1,4,3,5,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,6,1,4,5,2,3]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,6,1,4,5,3,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,6,1,5,2,3,4]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,6,1,5,2,4,3]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,6,1,5,3,2,4]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,6,1,5,3,4,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,6,1,5,4,2,3]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,6,1,5,4,3,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,6,2,1,3,4,5]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,6,2,1,3,5,4]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,6,2,1,4,3,5]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,6,2,1,4,5,3]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,6,2,1,5,3,4]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,6,2,1,5,4,3]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,6,2,3,1,4,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,2,3,1,5,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,2,3,4,1,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,2,3,4,5,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,2,3,5,1,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,2,3,5,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,2,4,1,3,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,2,4,1,5,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,2,4,3,1,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,2,4,3,5,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,2,4,5,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,2,4,5,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,2,5,1,3,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,2,5,1,4,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,2,5,3,1,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,2,5,3,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,2,5,4,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,2,5,4,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,3,1,2,4,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,3,1,2,5,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,3,1,4,2,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,3,1,4,5,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,3,1,5,2,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,3,1,5,4,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,3,2,1,4,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,3,2,1,5,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,3,2,4,1,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,3,2,4,5,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,3,2,5,1,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,3,2,5,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,3,4,1,2,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,3,4,1,5,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,3,4,2,1,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,3,4,2,5,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,3,4,5,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,3,5,1,2,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,3,5,1,4,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,3,5,2,1,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,3,5,2,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,3,5,4,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,4,1,2,3,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,4,1,2,5,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,4,1,3,2,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,4,1,3,5,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,4,1,5,2,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,4,1,5,3,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,4,2,1,3,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,4,2,1,5,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,4,2,3,1,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,4,2,3,5,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,4,2,5,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,4,2,5,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,4,3,1,2,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,4,3,1,5,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,4,3,2,1,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,4,3,2,5,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,4,3,5,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,4,5,1,2,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,4,5,1,3,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,4,5,2,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,4,5,2,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,4,5,3,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,4,5,3,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,5,1,2,3,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,5,1,2,4,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,5,1,3,2,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,5,1,3,4,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,5,1,4,2,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,5,1,4,3,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,5,2,1,3,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,5,2,1,4,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,5,2,3,1,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,5,2,3,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,5,2,4,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,5,2,4,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,5,3,1,2,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,5,3,1,4,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,5,3,2,1,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,5,3,2,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,5,3,4,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,5,3,4,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,5,4,1,2,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,5,4,1,3,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,5,4,2,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,5,4,2,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
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[8,7,5,3,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
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[8,7,3,4,5,6,2,1]=>[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
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[7,6,5,4,3,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
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[7,5,6,4,3,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,5,7,4,3,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,6,7,4,3,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,6,4,5,3,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,7,4,5,3,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,5,4,6,3,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,4,5,6,3,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,5,4,7,3,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,4,5,7,3,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,4,6,7,3,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,5,6,7,3,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,6,5,3,4,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,6,4,3,5,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,6,3,4,5,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,5,4,3,6,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,5,3,4,6,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,3,4,5,6,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,4,5,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,5,3,4,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,3,4,5,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,5,4,2,3,6,7,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,4,5,2,3,6,7,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,5,2,3,4,6,7,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,3,2,4,5,6,7,1]=>[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,7,5,4,3,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,5,6,4,3,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,5,7,4,3,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,6,7,4,3,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,6,4,5,3,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,7,4,5,3,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,4,5,6,3,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,5,4,7,3,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,4,5,7,3,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,5,6,7,3,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,6,5,3,4,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,5,6,3,4,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,5,7,3,4,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,6,7,3,4,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,6,4,3,5,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,6,3,4,5,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,5,4,3,6,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,4,5,3,6,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,5,3,4,6,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,3,4,5,6,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,5,4,3,7,2,8,1]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[6,4,5,3,7,2,8,1]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[5,4,6,3,7,2,8,1]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[4,5,6,3,7,2,8,1]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[6,5,3,4,7,2,8,1]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[5,6,3,4,7,2,8,1]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[6,4,3,5,7,2,8,1]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[6,3,4,5,7,2,8,1]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[5,4,3,6,7,2,8,1]=>[8,6,3,4,5,2,7,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[4,5,3,6,7,2,8,1]=>[8,6,3,4,5,2,7,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[4,3,5,6,7,2,8,1]=>[8,6,3,4,5,2,7,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[3,4,5,6,7,2,8,1]=>[8,6,3,4,5,2,7,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[7,6,5,4,2,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,7,5,4,2,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,5,6,4,2,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,5,7,4,2,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,6,7,4,2,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,6,4,5,2,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,7,4,5,2,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,5,4,6,2,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,4,5,6,2,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,5,4,7,2,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,6,4,7,2,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,4,5,7,2,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,4,6,7,2,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,5,6,7,2,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,6,5,3,2,4,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,7,5,3,2,4,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,5,7,3,2,4,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,6,5,2,3,4,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,5,6,2,3,4,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,6,7,2,3,4,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,7,4,3,2,5,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,6,4,2,3,5,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,6,3,2,4,5,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,7,3,2,4,5,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,6,2,3,4,5,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,7,2,3,4,5,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,5,4,3,2,6,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,4,3,5,2,6,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,5,4,2,3,6,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,4,5,2,3,6,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,5,3,2,4,6,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,5,2,3,4,6,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,4,3,2,5,6,8,1]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[7,4,2,3,5,6,8,1]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[7,3,2,4,5,6,8,1]=>[8,6,3,4,5,2,7,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[7,2,3,4,5,6,8,1]=>[8,6,3,4,5,2,7,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[5,4,3,2,6,7,8,1]=>[8,4,3,2,5,6,7,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,[.,[.,.]]],.],.],[.,.]]]
[4,5,3,2,6,7,8,1]=>[8,4,3,2,5,6,7,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,[.,[.,.]]],.],.],[.,.]]]
[5,3,4,2,6,7,8,1]=>[8,4,3,2,5,6,7,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,[.,[.,.]]],.],.],[.,.]]]
[4,3,5,2,6,7,8,1]=>[8,4,3,2,5,6,7,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,[.,[.,.]]],.],.],[.,.]]]
[3,4,5,2,6,7,8,1]=>[8,4,3,2,5,6,7,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,[.,[.,.]]],.],.],[.,.]]]
[5,4,2,3,6,7,8,1]=>[8,4,3,2,5,6,7,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,[.,[.,.]]],.],.],[.,.]]]
[4,5,2,3,6,7,8,1]=>[8,4,3,2,5,6,7,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,[.,[.,.]]],.],.],[.,.]]]
[5,3,2,4,6,7,8,1]=>[8,4,3,2,5,6,7,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,[.,[.,.]]],.],.],[.,.]]]
[5,2,3,4,6,7,8,1]=>[8,4,3,2,5,6,7,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,[.,[.,.]]],.],.],[.,.]]]
[4,3,2,5,6,7,8,1]=>[8,3,2,4,5,6,7,1]=>[1,6,7,5,4,3,2,8]=>[.,[[[[[.,[.,.]],.],.],.],[.,.]]]
[3,4,2,5,6,7,8,1]=>[8,3,2,4,5,6,7,1]=>[1,6,7,5,4,3,2,8]=>[.,[[[[[.,[.,.]],.],.],.],[.,.]]]
[4,2,3,5,6,7,8,1]=>[8,3,2,4,5,6,7,1]=>[1,6,7,5,4,3,2,8]=>[.,[[[[[.,[.,.]],.],.],.],[.,.]]]
[3,2,4,5,6,7,8,1]=>[8,2,3,4,5,6,7,1]=>[1,7,6,5,4,3,2,8]=>[.,[[[[[[.,.],.],.],.],.],[.,.]]]
[2,3,4,5,6,7,8,1]=>[8,2,3,4,5,6,7,1]=>[1,7,6,5,4,3,2,8]=>[.,[[[[[[.,.],.],.],.],.],[.,.]]]
[8,7,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,7,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,8,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,8,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,5,6,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,5,6,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,5,7,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,5,8,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,5,8,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,5,6,8,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,5,7,8,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,6,7,8,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,7,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,8,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,5,4,6,3,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,4,5,6,3,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,6,4,7,3,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,4,5,7,3,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,5,6,4,3,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,5,7,4,3,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,6,7,4,3,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,7,4,5,3,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,5,4,6,3,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,5,4,7,3,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,6,4,7,3,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,4,5,7,3,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,4,6,7,3,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,5,6,7,3,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,6,5,3,4,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,5,6,3,4,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,6,7,3,4,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
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[8,7,6,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
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[8,7,5,6,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
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[8,6,5,7,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
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[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
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[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]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
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[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
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[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
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[8,6,5,4,7,1,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
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[8,6,4,5,7,1,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
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[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,6,5,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
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[6,7,8,5,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,5,6,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,5,6,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,5,7,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,6,7,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
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[7,5,6,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,5,7,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,6,7,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,6,5,2,3,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,6,5,2,3,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,7,5,2,3,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
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[8,7,5,6,2,3,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
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[8,5,6,7,2,3,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
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[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,4,5,3,2,1,6,7]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,4,3,5,2,1,6,7]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,3,4,5,2,1,6,7]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,4,5,2,3,1,6,7]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,5,2,3,4,1,6,7]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,4,2,3,5,1,6,7]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[8,2,3,4,5,1,6,7]=>[8,6,3,4,5,2,7,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[8,5,3,4,1,2,6,7]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,3,4,5,1,2,6,7]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,5,4,2,1,3,6,7]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,5,4,1,2,3,6,7]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,4,5,1,2,3,6,7]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,5,3,2,1,4,6,7]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,5,3,1,2,4,6,7]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,5,2,1,3,4,6,7]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[8,5,1,2,3,4,6,7]=>[8,6,3,4,5,2,7,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[8,3,2,1,4,5,6,7]=>[8,4,3,2,5,6,7,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,[.,[.,.]]],.],.],[.,.]]]
[8,2,3,1,4,5,6,7]=>[8,4,3,2,5,6,7,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,[.,[.,.]]],.],.],[.,.]]]
[8,3,1,2,4,5,6,7]=>[8,4,3,2,5,6,7,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,[.,[.,.]]],.],.],[.,.]]]
[8,2,1,3,4,5,6,7]=>[8,3,2,4,5,6,7,1]=>[1,6,7,5,4,3,2,8]=>[.,[[[[[.,[.,.]],.],.],.],[.,.]]]
[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]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,7,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,5,6,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,5,7,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,6,7,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,6,4,5,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,7,4,5,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,5,4,6,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,4,5,6,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,5,4,7,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,6,4,7,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,4,6,7,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,5,6,7,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,6,5,3,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,7,5,3,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,5,6,3,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,5,7,3,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,6,7,3,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,7,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,6,3,4,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,5,4,3,6,2,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,4,5,3,6,2,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,3,4,5,6,2,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,5,4,3,7,2,1,8]=>[7,6,4,3,5,2,1,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[5,6,4,3,7,2,1,8]=>[7,6,4,3,5,2,1,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[5,4,6,3,7,2,1,8]=>[7,6,4,3,5,2,1,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[5,4,3,6,7,2,1,8]=>[7,6,3,4,5,2,1,8]=>[2,3,6,5,4,7,8,1]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[3,4,5,6,7,2,1,8]=>[7,6,3,4,5,2,1,8]=>[2,3,6,5,4,7,8,1]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[7,6,5,4,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,7,5,4,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,5,6,4,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,6,7,4,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,6,4,5,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,7,4,5,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,5,4,6,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,4,5,6,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,5,4,7,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,6,4,7,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,4,6,7,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,5,6,7,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,6,5,3,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,5,7,3,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,6,7,3,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,6,5,2,3,4,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,7,5,2,3,4,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,5,6,2,3,4,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,5,7,2,3,4,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,6,7,2,3,4,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,6,4,3,2,5,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,7,4,3,2,5,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,7,3,4,2,5,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,6,4,2,3,5,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,7,4,2,3,5,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,6,3,2,4,5,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,7,3,2,4,5,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,6,2,3,4,5,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,7,2,3,4,5,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,5,4,3,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,4,5,3,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,5,3,4,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,4,3,5,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,5,4,2,3,6,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,4,5,2,3,6,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,5,3,2,4,6,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,4,2,3,5,6,1,8]=>[7,6,4,3,5,2,1,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[7,2,3,4,5,6,1,8]=>[7,6,3,4,5,2,1,8]=>[2,3,6,5,4,7,8,1]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[6,5,4,3,2,7,1,8]=>[7,5,4,3,2,6,1,8]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[5,6,4,3,2,7,1,8]=>[7,5,4,3,2,6,1,8]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[5,4,6,3,2,7,1,8]=>[7,5,4,3,2,6,1,8]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[5,6,3,4,2,7,1,8]=>[7,5,4,3,2,6,1,8]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[6,3,4,5,2,7,1,8]=>[7,5,4,3,2,6,1,8]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[5,4,3,6,2,7,1,8]=>[7,5,3,4,2,6,1,8]=>[2,4,6,5,7,3,8,1]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[4,5,3,6,2,7,1,8]=>[7,5,3,4,2,6,1,8]=>[2,4,6,5,7,3,8,1]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[5,3,4,6,2,7,1,8]=>[7,5,3,4,2,6,1,8]=>[2,4,6,5,7,3,8,1]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[4,3,5,6,2,7,1,8]=>[7,5,3,4,2,6,1,8]=>[2,4,6,5,7,3,8,1]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[3,4,5,6,2,7,1,8]=>[7,5,3,4,2,6,1,8]=>[2,4,6,5,7,3,8,1]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[5,4,6,2,3,7,1,8]=>[7,5,4,3,2,6,1,8]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[6,5,3,2,4,7,1,8]=>[7,5,4,3,2,6,1,8]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[6,4,2,3,5,7,1,8]=>[7,5,4,3,2,6,1,8]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[6,3,2,4,5,7,1,8]=>[7,5,3,4,2,6,1,8]=>[2,4,6,5,7,3,8,1]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[6,2,3,4,5,7,1,8]=>[7,5,3,4,2,6,1,8]=>[2,4,6,5,7,3,8,1]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[5,4,3,2,6,7,1,8]=>[7,4,3,2,5,6,1,8]=>[2,5,6,7,4,3,8,1]=>[[.,[[[.,[.,[.,.]]],.],[.,.]]],.]
[3,4,5,2,6,7,1,8]=>[7,4,3,2,5,6,1,8]=>[2,5,6,7,4,3,8,1]=>[[.,[[[.,[.,[.,.]]],.],[.,.]]],.]
[5,4,2,3,6,7,1,8]=>[7,4,3,2,5,6,1,8]=>[2,5,6,7,4,3,8,1]=>[[.,[[[.,[.,[.,.]]],.],[.,.]]],.]
[4,5,2,3,6,7,1,8]=>[7,4,3,2,5,6,1,8]=>[2,5,6,7,4,3,8,1]=>[[.,[[[.,[.,[.,.]]],.],[.,.]]],.]
[5,2,3,4,6,7,1,8]=>[7,4,3,2,5,6,1,8]=>[2,5,6,7,4,3,8,1]=>[[.,[[[.,[.,[.,.]]],.],[.,.]]],.]
[3,2,4,5,6,7,1,8]=>[7,2,3,4,5,6,1,8]=>[2,7,6,5,4,3,8,1]=>[[.,[[[[[.,.],.],.],.],[.,.]]],.]
[2,3,4,5,6,7,1,8]=>[7,2,3,4,5,6,1,8]=>[2,7,6,5,4,3,8,1]=>[[.,[[[[[.,.],.],.],.],[.,.]]],.]
[7,6,5,4,3,1,2,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,7,5,4,3,1,2,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,5,6,4,3,1,2,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,6,4,5,3,1,2,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,4,5,6,3,1,2,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,4,6,7,3,1,2,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,5,6,7,3,1,2,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,6,5,3,4,1,2,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,5,6,3,4,1,2,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,5,7,3,4,1,2,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,7,3,4,5,1,2,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,5,3,4,6,1,2,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,5,4,3,7,1,2,8]=>[7,6,4,3,5,2,1,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[6,4,5,3,7,1,2,8]=>[7,6,4,3,5,2,1,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[5,6,3,4,7,1,2,8]=>[7,6,4,3,5,2,1,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[6,4,3,5,7,1,2,8]=>[7,6,4,3,5,2,1,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[6,3,4,5,7,1,2,8]=>[7,6,4,3,5,2,1,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[4,3,5,6,7,1,2,8]=>[7,6,3,4,5,2,1,8]=>[2,3,6,5,4,7,8,1]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[3,4,5,6,7,1,2,8]=>[7,6,3,4,5,2,1,8]=>[2,3,6,5,4,7,8,1]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[7,6,5,4,2,1,3,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,5,7,4,2,1,3,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,6,4,5,2,1,3,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,5,4,6,2,1,3,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,4,5,6,2,1,3,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,4,6,7,2,1,3,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,5,6,7,2,1,3,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,6,5,4,1,2,3,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,5,6,4,1,2,3,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,6,7,4,1,2,3,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,6,4,5,1,2,3,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,5,4,6,1,2,3,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,4,5,6,1,2,3,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,6,4,7,1,2,3,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,4,6,7,1,2,3,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,5,6,7,1,2,3,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,6,5,3,2,1,4,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,6,5,2,3,1,4,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,7,5,2,3,1,4,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,5,6,2,3,1,4,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,5,7,2,3,1,4,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,6,7,2,3,1,4,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,5,6,3,1,2,4,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,6,7,3,1,2,4,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,6,5,2,1,3,4,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,7,5,2,1,3,4,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,5,6,2,1,3,4,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,6,7,2,1,3,4,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,6,5,1,2,3,4,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,7,5,1,2,3,4,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,5,6,1,2,3,4,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,5,7,1,2,3,4,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,6,7,1,2,3,4,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,6,4,3,2,1,5,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,7,4,3,2,1,5,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,6,3,4,2,1,5,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,7,3,4,2,1,5,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,6,4,2,3,1,5,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,7,4,2,3,1,5,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,6,3,2,4,1,5,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,7,3,2,4,1,5,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,6,2,3,4,1,5,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,7,2,3,4,1,5,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,6,4,3,1,2,5,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,7,3,4,1,2,5,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,6,4,2,1,3,5,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,6,3,2,1,4,5,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,7,3,2,1,4,5,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,6,2,3,1,4,5,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,7,2,3,1,4,5,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,7,3,1,2,4,5,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,6,1,2,3,4,5,8]=>[7,6,3,4,5,2,1,8]=>[2,3,6,5,4,7,8,1]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[6,7,1,2,3,4,5,8]=>[7,6,3,4,5,2,1,8]=>[2,3,6,5,4,7,8,1]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[7,5,4,3,2,1,6,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,4,5,3,2,1,6,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,4,3,5,2,1,6,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,3,4,5,2,1,6,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,5,4,2,3,1,6,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,5,3,2,4,1,6,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,5,2,3,4,1,6,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,4,2,3,5,1,6,8]=>[7,6,4,3,5,2,1,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[7,2,3,4,5,1,6,8]=>[7,6,3,4,5,2,1,8]=>[2,3,6,5,4,7,8,1]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
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[5,4,6,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[4,5,6,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
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[3,4,5,6,2,1,7,8]=>[6,5,3,4,2,1,7,8]=>[3,4,6,5,7,8,2,1]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[5,4,6,2,3,1,7,8]=>[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[5,6,3,2,4,1,7,8]=>[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[6,5,2,3,4,1,7,8]=>[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
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[4,3,5,2,6,1,7,8]=>[6,4,3,2,5,1,7,8]=>[3,5,6,7,4,8,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[3,4,5,2,6,1,7,8]=>[6,4,3,2,5,1,7,8]=>[3,5,6,7,4,8,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
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[5,2,3,4,6,1,7,8]=>[6,4,3,2,5,1,7,8]=>[3,5,6,7,4,8,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[3,2,4,5,6,1,7,8]=>[6,2,3,4,5,1,7,8]=>[3,7,6,5,4,8,2,1]=>[[[.,[[[[.,.],.],.],[.,.]]],.],.]
[2,3,4,5,6,1,7,8]=>[6,2,3,4,5,1,7,8]=>[3,7,6,5,4,8,2,1]=>[[[.,[[[[.,.],.],.],[.,.]]],.],.]
[6,5,4,3,1,2,7,8]=>[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[5,6,4,3,1,2,7,8]=>[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[6,4,5,3,1,2,7,8]=>[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[5,4,6,3,1,2,7,8]=>[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[5,6,3,4,1,2,7,8]=>[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[6,4,3,5,1,2,7,8]=>[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[5,4,3,6,1,2,7,8]=>[6,5,3,4,2,1,7,8]=>[3,4,6,5,7,8,2,1]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[4,3,5,6,1,2,7,8]=>[6,5,3,4,2,1,7,8]=>[3,4,6,5,7,8,2,1]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[3,4,5,6,1,2,7,8]=>[6,5,3,4,2,1,7,8]=>[3,4,6,5,7,8,2,1]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[6,5,4,2,1,3,7,8]=>[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[5,6,4,2,1,3,7,8]=>[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[6,4,5,2,1,3,7,8]=>[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[5,4,6,2,1,3,7,8]=>[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[4,5,6,2,1,3,7,8]=>[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
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[4,5,6,1,2,3,7,8]=>[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
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[5,6,2,1,3,4,7,8]=>[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
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[6,4,2,1,3,5,7,8]=>[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
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[6,2,3,1,4,5,7,8]=>[6,4,3,2,5,1,7,8]=>[3,5,6,7,4,8,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
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[6,1,2,3,4,5,7,8]=>[6,2,3,4,5,1,7,8]=>[3,7,6,5,4,8,2,1]=>[[[.,[[[[.,.],.],.],[.,.]]],.],.]
[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[4,5,6,7,8,3,2,1]=>[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]
[4,5,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[4,5,6,7,8,3,2,1]=>[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]
[5,3,4,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[4,5,6,7,8,3,2,1]=>[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]
[4,3,5,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[4,5,6,7,8,3,2,1]=>[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]
[3,4,5,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[4,5,6,7,8,3,2,1]=>[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]
[5,4,2,3,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[4,5,6,7,8,3,2,1]=>[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]
[4,5,2,3,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[4,5,6,7,8,3,2,1]=>[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]
[5,3,2,4,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[4,5,6,7,8,3,2,1]=>[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]
[5,2,3,4,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[4,5,6,7,8,3,2,1]=>[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]
[4,3,2,5,1,6,7,8]=>[5,3,2,4,1,6,7,8]=>[4,6,7,5,8,3,2,1]=>[[[[.,[[.,[.,.]],[.,.]]],.],.],.]
[3,4,2,5,1,6,7,8]=>[5,3,2,4,1,6,7,8]=>[4,6,7,5,8,3,2,1]=>[[[[.,[[.,[.,.]],[.,.]]],.],.],.]
[4,2,3,5,1,6,7,8]=>[5,3,2,4,1,6,7,8]=>[4,6,7,5,8,3,2,1]=>[[[[.,[[.,[.,.]],[.,.]]],.],.],.]
[3,2,4,5,1,6,7,8]=>[5,2,3,4,1,6,7,8]=>[4,7,6,5,8,3,2,1]=>[[[[.,[[[.,.],.],[.,.]]],.],.],.]
[2,3,4,5,1,6,7,8]=>[5,2,3,4,1,6,7,8]=>[4,7,6,5,8,3,2,1]=>[[[[.,[[[.,.],.],[.,.]]],.],.],.]
[5,4,3,1,2,6,7,8]=>[5,4,3,2,1,6,7,8]=>[4,5,6,7,8,3,2,1]=>[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]
[5,3,4,1,2,6,7,8]=>[5,4,3,2,1,6,7,8]=>[4,5,6,7,8,3,2,1]=>[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]
[4,3,5,1,2,6,7,8]=>[5,4,3,2,1,6,7,8]=>[4,5,6,7,8,3,2,1]=>[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]
[3,4,5,1,2,6,7,8]=>[5,4,3,2,1,6,7,8]=>[4,5,6,7,8,3,2,1]=>[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]
[5,4,2,1,3,6,7,8]=>[5,4,3,2,1,6,7,8]=>[4,5,6,7,8,3,2,1]=>[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]
[4,5,2,1,3,6,7,8]=>[5,4,3,2,1,6,7,8]=>[4,5,6,7,8,3,2,1]=>[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]
[5,4,1,2,3,6,7,8]=>[5,4,3,2,1,6,7,8]=>[4,5,6,7,8,3,2,1]=>[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]
[4,5,1,2,3,6,7,8]=>[5,4,3,2,1,6,7,8]=>[4,5,6,7,8,3,2,1]=>[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]
[5,3,2,1,4,6,7,8]=>[5,4,3,2,1,6,7,8]=>[4,5,6,7,8,3,2,1]=>[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]
[5,2,3,1,4,6,7,8]=>[5,4,3,2,1,6,7,8]=>[4,5,6,7,8,3,2,1]=>[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]
[5,3,1,2,4,6,7,8]=>[5,4,3,2,1,6,7,8]=>[4,5,6,7,8,3,2,1]=>[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]
[5,2,1,3,4,6,7,8]=>[5,3,2,4,1,6,7,8]=>[4,6,7,5,8,3,2,1]=>[[[[.,[[.,[.,.]],[.,.]]],.],.],.]
[5,1,2,3,4,6,7,8]=>[5,2,3,4,1,6,7,8]=>[4,7,6,5,8,3,2,1]=>[[[[.,[[[.,.],.],[.,.]]],.],.],.]
[4,3,2,1,5,6,7,8]=>[4,3,2,1,5,6,7,8]=>[5,6,7,8,4,3,2,1]=>[[[[[.,[.,[.,[.,.]]]],.],.],.],.]
[3,4,2,1,5,6,7,8]=>[4,3,2,1,5,6,7,8]=>[5,6,7,8,4,3,2,1]=>[[[[[.,[.,[.,[.,.]]]],.],.],.],.]
[4,2,3,1,5,6,7,8]=>[4,3,2,1,5,6,7,8]=>[5,6,7,8,4,3,2,1]=>[[[[[.,[.,[.,[.,.]]]],.],.],.],.]
[3,2,4,1,5,6,7,8]=>[4,2,3,1,5,6,7,8]=>[5,7,6,8,4,3,2,1]=>[[[[[.,[[.,.],[.,.]]],.],.],.],.]
[2,3,4,1,5,6,7,8]=>[4,2,3,1,5,6,7,8]=>[5,7,6,8,4,3,2,1]=>[[[[[.,[[.,.],[.,.]]],.],.],.],.]
[4,3,1,2,5,6,7,8]=>[4,3,2,1,5,6,7,8]=>[5,6,7,8,4,3,2,1]=>[[[[[.,[.,[.,[.,.]]]],.],.],.],.]
[3,4,1,2,5,6,7,8]=>[4,3,2,1,5,6,7,8]=>[5,6,7,8,4,3,2,1]=>[[[[[.,[.,[.,[.,.]]]],.],.],.],.]
[4,2,1,3,5,6,7,8]=>[4,3,2,1,5,6,7,8]=>[5,6,7,8,4,3,2,1]=>[[[[[.,[.,[.,[.,.]]]],.],.],.],.]
[4,1,2,3,5,6,7,8]=>[4,2,3,1,5,6,7,8]=>[5,7,6,8,4,3,2,1]=>[[[[[.,[[.,.],[.,.]]],.],.],.],.]
[3,2,1,4,5,6,7,8]=>[3,2,1,4,5,6,7,8]=>[6,7,8,5,4,3,2,1]=>[[[[[[.,[.,[.,.]]],.],.],.],.],.]
[2,3,1,4,5,6,7,8]=>[3,2,1,4,5,6,7,8]=>[6,7,8,5,4,3,2,1]=>[[[[[[.,[.,[.,.]]],.],.],.],.],.]
[3,1,2,4,5,6,7,8]=>[3,2,1,4,5,6,7,8]=>[6,7,8,5,4,3,2,1]=>[[[[[[.,[.,[.,.]]],.],.],.],.],.]
[2,1,3,4,5,6,7,8]=>[2,1,3,4,5,6,7,8]=>[7,8,6,5,4,3,2,1]=>[[[[[[[.,[.,.]],.],.],.],.],.],.]
[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>[[[[[[[[.,.],.],.],.],.],.],.],.]
[6,8,7,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,7,6,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,7,8,6,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,5,8,7,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,6,8,7,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,7,6,8,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,7,6,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,7,8,6,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,6,8,7,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,7,6,8,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,6,7,8,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,4,7,8,6,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,5,8,7,6,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,5,7,8,6,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,5,4,8,7,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,6,4,8,7,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,6,5,8,7,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,5,6,8,7,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,7,6,4,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,7,6,5,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,6,7,5,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,4,7,6,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,5,7,6,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,6,5,7,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,8,7,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,7,8,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,6,8,7,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,7,6,8,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,5,8,7,6,4,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,5,7,8,6,4,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,5,6,8,7,4,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,7,6,5,8,4,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,6,7,5,8,4,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,5,7,6,8,4,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,5,6,7,8,4,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,3,8,7,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,3,7,8,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,3,6,7,8,5,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,4,8,7,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,4,6,7,8,5,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,4,3,8,7,6,2,1]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,4,3,7,8,6,2,1]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,5,3,7,8,6,2,1]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,5,4,7,8,6,2,1]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,3,5,7,8,6,2,1]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,4,5,8,7,6,2,1]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,4,5,7,8,6,2,1]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,5,4,3,8,7,2,1]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[5,6,4,3,8,7,2,1]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[4,5,6,3,8,7,2,1]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[3,6,5,4,8,7,2,1]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[4,3,6,5,8,7,2,1]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[5,7,6,4,3,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,7,6,5,3,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,4,7,6,3,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,7,6,5,4,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,5,7,6,4,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,5,6,7,4,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,3,7,6,5,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,4,7,6,5,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,4,6,7,5,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,5,4,6,7,8,2,1]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[2,8,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,7,8,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,6,8,7,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,7,6,8,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,6,7,8,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,5,8,7,6,4,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,6,7,5,8,4,3,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,6,5,7,8,4,3,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,5,6,7,8,4,3,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,4,8,7,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,4,7,8,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,4,6,8,7,5,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,4,6,7,8,5,3,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,5,4,8,7,6,3,1]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,5,4,7,8,6,3,1]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,4,5,7,8,6,3,1]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,6,5,4,8,7,3,1]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[2,5,6,4,8,7,3,1]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[2,4,6,5,8,7,3,1]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[2,7,6,5,4,8,3,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,6,7,5,4,8,3,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,5,6,7,4,8,3,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,4,7,6,5,8,3,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,4,6,7,5,8,3,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,5,4,6,7,8,3,1]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[2,4,5,6,7,8,3,1]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[3,2,8,7,6,5,4,1]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,2,7,8,6,5,4,1]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,2,6,8,7,5,4,1]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,2,5,7,8,6,4,1]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,2,6,5,8,7,4,1]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[3,2,6,7,5,8,4,1]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[3,2,5,7,6,8,4,1]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[3,2,5,6,7,8,4,1]=>[8,2,7,4,5,6,3,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[2,3,8,7,6,5,4,1]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,3,6,7,8,5,4,1]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,3,5,8,7,6,4,1]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,3,5,7,8,6,4,1]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,3,6,5,8,7,4,1]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[2,3,5,6,8,7,4,1]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[2,3,7,6,5,8,4,1]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[2,3,5,7,6,8,4,1]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[2,3,5,6,7,8,4,1]=>[8,2,7,4,5,6,3,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[4,3,2,8,7,6,5,1]=>[8,3,2,7,6,5,4,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[4,3,2,7,8,6,5,1]=>[8,3,2,7,6,5,4,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[4,3,2,6,8,7,5,1]=>[8,3,2,7,6,5,4,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[3,4,2,8,7,6,5,1]=>[8,3,2,7,6,5,4,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[3,4,2,7,8,6,5,1]=>[8,3,2,7,6,5,4,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[2,4,3,8,7,6,5,1]=>[8,3,2,7,6,5,4,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[2,4,3,6,8,7,5,1]=>[8,3,2,7,6,5,4,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[3,2,4,8,7,6,5,1]=>[8,2,3,7,6,5,4,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[3,2,4,7,8,6,5,1]=>[8,2,3,7,6,5,4,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[2,3,4,8,7,6,5,1]=>[8,2,3,7,6,5,4,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[2,3,4,7,8,6,5,1]=>[8,2,3,7,6,5,4,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[2,3,4,6,8,7,5,1]=>[8,2,3,7,6,5,4,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[2,3,4,7,6,8,5,1]=>[8,2,3,7,5,6,4,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[2,3,4,6,7,8,5,1]=>[8,2,3,7,5,6,4,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[5,4,3,2,8,7,6,1]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[5,4,3,2,7,8,6,1]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[4,5,3,2,8,7,6,1]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[3,5,4,2,7,8,6,1]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[4,3,5,2,8,7,6,1]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[3,4,5,2,7,8,6,1]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[2,5,4,3,8,7,6,1]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[2,5,4,3,7,8,6,1]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[2,4,5,3,8,7,6,1]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[2,4,5,3,7,8,6,1]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[3,2,5,4,7,8,6,1]=>[8,2,4,3,7,6,5,1]=>[1,7,5,6,2,3,4,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[2,3,5,4,8,7,6,1]=>[8,2,4,3,7,6,5,1]=>[1,7,5,6,2,3,4,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[2,3,5,4,7,8,6,1]=>[8,2,4,3,7,6,5,1]=>[1,7,5,6,2,3,4,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[6,5,4,3,2,8,7,1]=>[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[4,6,5,3,2,8,7,1]=>[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[5,4,6,3,2,8,7,1]=>[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[4,5,6,3,2,8,7,1]=>[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[3,6,5,4,2,8,7,1]=>[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[3,5,6,4,2,8,7,1]=>[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[4,3,6,5,2,8,7,1]=>[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[5,4,3,6,2,8,7,1]=>[8,5,3,4,2,7,6,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[4,5,3,6,2,8,7,1]=>[8,5,3,4,2,7,6,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[3,5,4,6,2,8,7,1]=>[8,5,3,4,2,7,6,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[3,4,5,6,2,8,7,1]=>[8,5,3,4,2,7,6,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[2,6,5,4,3,8,7,1]=>[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[2,4,6,5,3,8,7,1]=>[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[2,4,5,6,3,8,7,1]=>[8,5,3,4,2,7,6,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[4,3,2,6,5,8,7,1]=>[8,3,2,5,4,7,6,1]=>[1,6,7,4,5,2,3,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[3,4,2,6,5,8,7,1]=>[8,3,2,5,4,7,6,1]=>[1,6,7,4,5,2,3,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[2,4,3,6,5,8,7,1]=>[8,3,2,5,4,7,6,1]=>[1,6,7,4,5,2,3,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[5,4,3,2,6,8,7,1]=>[8,4,3,2,5,7,6,1]=>[1,5,6,7,4,2,3,8]=>[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]
[4,5,3,2,6,8,7,1]=>[8,4,3,2,5,7,6,1]=>[1,5,6,7,4,2,3,8]=>[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]
[2,5,4,3,6,8,7,1]=>[8,4,3,2,5,7,6,1]=>[1,5,6,7,4,2,3,8]=>[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]
[2,4,5,3,6,8,7,1]=>[8,4,3,2,5,7,6,1]=>[1,5,6,7,4,2,3,8]=>[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]
[3,2,4,5,6,8,7,1]=>[8,2,3,4,5,7,6,1]=>[1,7,6,5,4,2,3,8]=>[.,[[[[[.,.],.],.],.],[.,[.,.]]]]
[2,3,4,5,6,8,7,1]=>[8,2,3,4,5,7,6,1]=>[1,7,6,5,4,2,3,8]=>[.,[[[[[.,.],.],.],.],[.,[.,.]]]]
[5,7,6,4,3,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,7,6,5,3,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,6,7,5,3,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,6,5,7,3,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,5,7,6,4,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,5,6,7,4,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,3,7,6,5,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,3,6,7,5,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,4,7,6,5,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,4,6,7,5,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,6,5,3,7,2,8,1]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[3,6,5,4,7,2,8,1]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[3,5,6,4,7,2,8,1]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[4,3,6,5,7,2,8,1]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[3,4,6,5,7,2,8,1]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[3,5,4,6,7,2,8,1]=>[8,6,3,4,5,2,7,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[2,7,6,5,4,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[2,6,5,7,4,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[2,5,6,7,4,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[2,4,6,7,5,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[2,4,6,5,7,3,8,1]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[2,5,4,6,7,3,8,1]=>[8,6,3,4,5,2,7,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[2,4,5,6,7,3,8,1]=>[8,6,3,4,5,2,7,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[3,2,7,6,5,4,8,1]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[3,2,6,7,5,4,8,1]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[3,2,5,7,6,4,8,1]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[3,2,6,5,7,4,8,1]=>[8,2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[3,2,5,6,7,4,8,1]=>[8,2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[2,3,7,6,5,4,8,1]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[2,3,5,7,6,4,8,1]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[2,3,5,6,7,4,8,1]=>[8,2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[3,2,4,7,6,5,8,1]=>[8,2,3,6,5,4,7,1]=>[1,7,6,3,4,5,2,8]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[2,3,4,7,6,5,8,1]=>[8,2,3,6,5,4,7,1]=>[1,7,6,3,4,5,2,8]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[2,3,4,6,7,5,8,1]=>[8,2,3,6,5,4,7,1]=>[1,7,6,3,4,5,2,8]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[5,4,3,2,7,6,8,1]=>[8,4,3,2,6,5,7,1]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[3,5,4,2,7,6,8,1]=>[8,4,3,2,6,5,7,1]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[4,3,5,2,7,6,8,1]=>[8,4,3,2,6,5,7,1]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[3,4,5,2,7,6,8,1]=>[8,4,3,2,6,5,7,1]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[2,5,4,3,7,6,8,1]=>[8,4,3,2,6,5,7,1]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[3,2,5,4,7,6,8,1]=>[8,2,4,3,6,5,7,1]=>[1,7,5,6,3,4,2,8]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[2,3,5,4,7,6,8,1]=>[8,2,4,3,6,5,7,1]=>[1,7,5,6,3,4,2,8]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[4,3,2,6,5,7,8,1]=>[8,3,2,5,4,6,7,1]=>[1,6,7,4,5,3,2,8]=>[.,[[[[.,[.,.]],[.,.]],.],[.,.]]]
[3,4,2,6,5,7,8,1]=>[8,3,2,5,4,6,7,1]=>[1,6,7,4,5,3,2,8]=>[.,[[[[.,[.,.]],[.,.]],.],[.,.]]]
[2,4,3,6,5,7,8,1]=>[8,3,2,5,4,6,7,1]=>[1,6,7,4,5,3,2,8]=>[.,[[[[.,[.,.]],[.,.]],.],[.,.]]]
[2,3,4,6,5,7,8,1]=>[8,2,3,5,4,6,7,1]=>[1,7,6,4,5,3,2,8]=>[.,[[[[[.,.],.],[.,.]],.],[.,.]]]
[3,5,4,2,6,7,8,1]=>[8,4,3,2,5,6,7,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,[.,[.,.]]],.],.],[.,.]]]
[2,5,4,3,6,7,8,1]=>[8,4,3,2,5,6,7,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,[.,[.,.]]],.],.],[.,.]]]
[2,4,5,3,6,7,8,1]=>[8,4,3,2,5,6,7,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,[.,[.,.]]],.],.],[.,.]]]
[3,2,5,4,6,7,8,1]=>[8,2,4,3,5,6,7,1]=>[1,7,5,6,4,3,2,8]=>[.,[[[[[.,.],[.,.]],.],.],[.,.]]]
[2,3,5,4,6,7,8,1]=>[8,2,4,3,5,6,7,1]=>[1,7,5,6,4,3,2,8]=>[.,[[[[[.,.],[.,.]],.],.],[.,.]]]
[2,4,3,5,6,7,8,1]=>[8,3,2,4,5,6,7,1]=>[1,6,7,5,4,3,2,8]=>[.,[[[[[.,[.,.]],.],.],.],[.,.]]]
[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,7,8,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,6,8,7,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,7,6,8,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,6,7,8,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,5,8,7,6,4,3,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,6,5,8,7,4,3,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,7,6,5,8,4,3,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,6,7,5,8,4,3,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,5,7,6,8,4,3,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,6,5,7,8,4,3,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,5,6,7,8,4,3,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,4,8,7,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,4,7,8,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,4,6,8,7,5,3,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,4,6,7,8,5,3,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,5,4,7,8,6,3,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,4,5,8,7,6,3,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,4,5,7,8,6,3,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,6,5,4,8,7,3,2]=>[1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,4,6,5,8,7,3,2]=>[1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,5,4,6,8,7,3,2]=>[1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,7,6,5,4,8,3,2]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,4,7,6,5,8,3,2]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,4,6,7,5,8,3,2]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,6,5,4,7,8,3,2]=>[1,8,7,4,5,6,3,2]=>[8,1,2,5,4,3,6,7]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[1,5,6,4,7,8,3,2]=>[1,8,7,4,5,6,3,2]=>[8,1,2,5,4,3,6,7]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[1,5,4,6,7,8,3,2]=>[1,8,7,4,5,6,3,2]=>[8,1,2,5,4,3,6,7]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[1,4,5,6,7,8,3,2]=>[1,8,7,4,5,6,3,2]=>[8,1,2,5,4,3,6,7]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[1,3,8,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,3,7,8,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,3,6,8,7,5,4,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,3,6,7,8,5,4,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,3,5,8,7,6,4,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,3,5,7,8,6,4,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,3,5,6,8,7,4,2]=>[1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,3,6,7,5,8,4,2]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,3,5,7,6,8,4,2]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,3,6,5,7,8,4,2]=>[1,8,7,4,5,6,3,2]=>[8,1,2,5,4,3,6,7]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[1,3,5,6,7,8,4,2]=>[1,8,7,4,5,6,3,2]=>[8,1,2,5,4,3,6,7]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[1,4,3,8,7,6,5,2]=>[1,8,3,7,6,5,4,2]=>[8,1,6,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,4,3,7,8,6,5,2]=>[1,8,3,7,6,5,4,2]=>[8,1,6,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,4,3,6,8,7,5,2]=>[1,8,3,7,6,5,4,2]=>[8,1,6,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,4,3,7,6,8,5,2]=>[1,8,3,7,5,6,4,2]=>[8,1,6,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,4,3,6,7,8,5,2]=>[1,8,3,7,5,6,4,2]=>[8,1,6,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,3,4,8,7,6,5,2]=>[1,8,3,7,6,5,4,2]=>[8,1,6,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,3,4,7,6,8,5,2]=>[1,8,3,7,5,6,4,2]=>[8,1,6,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,3,4,6,7,8,5,2]=>[1,8,3,7,5,6,4,2]=>[8,1,6,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,4,3,5,8,7,6,2]=>[1,8,3,4,7,6,5,2]=>[8,1,6,5,2,3,4,7]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[1,4,3,5,7,8,6,2]=>[1,8,3,4,7,6,5,2]=>[8,1,6,5,2,3,4,7]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[1,3,4,5,8,7,6,2]=>[1,8,3,4,7,6,5,2]=>[8,1,6,5,2,3,4,7]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[1,3,4,5,7,8,6,2]=>[1,8,3,4,7,6,5,2]=>[8,1,6,5,2,3,4,7]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[1,6,5,4,3,8,7,2]=>[1,8,5,4,3,7,6,2]=>[8,1,4,5,6,2,3,7]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[1,5,6,4,3,8,7,2]=>[1,8,5,4,3,7,6,2]=>[8,1,4,5,6,2,3,7]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[1,4,6,5,3,8,7,2]=>[1,8,5,4,3,7,6,2]=>[8,1,4,5,6,2,3,7]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[1,4,5,6,3,8,7,2]=>[1,8,5,4,3,7,6,2]=>[8,1,4,5,6,2,3,7]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[1,3,6,5,4,8,7,2]=>[1,8,5,4,3,7,6,2]=>[8,1,4,5,6,2,3,7]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[1,4,3,6,5,8,7,2]=>[1,8,3,5,4,7,6,2]=>[8,1,6,4,5,2,3,7]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[1,5,4,3,6,8,7,2]=>[1,8,4,3,5,7,6,2]=>[8,1,5,6,4,2,3,7]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]
[1,4,5,3,6,8,7,2]=>[1,8,4,3,5,7,6,2]=>[8,1,5,6,4,2,3,7]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]
[1,5,6,4,7,3,8,2]=>[1,8,6,4,5,3,7,2]=>[8,1,3,5,4,6,2,7]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[1,4,6,5,7,3,8,2]=>[1,8,6,4,5,3,7,2]=>[8,1,3,5,4,6,2,7]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[1,5,4,6,7,3,8,2]=>[1,8,6,4,5,3,7,2]=>[8,1,3,5,4,6,2,7]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[1,4,5,6,7,3,8,2]=>[1,8,6,4,5,3,7,2]=>[8,1,3,5,4,6,2,7]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[1,3,6,5,7,4,8,2]=>[1,8,6,4,5,3,7,2]=>[8,1,3,5,4,6,2,7]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[1,3,5,6,7,4,8,2]=>[1,8,6,4,5,3,7,2]=>[8,1,3,5,4,6,2,7]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[1,4,3,6,7,5,8,2]=>[1,8,3,6,5,4,7,2]=>[8,1,6,3,4,5,2,7]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[1,3,4,7,6,5,8,2]=>[1,8,3,6,5,4,7,2]=>[8,1,6,3,4,5,2,7]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[1,3,4,6,7,5,8,2]=>[1,8,3,6,5,4,7,2]=>[8,1,6,3,4,5,2,7]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[1,6,5,4,3,7,8,2]=>[1,8,5,4,3,6,7,2]=>[8,1,4,5,6,3,2,7]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[1,5,4,6,3,7,8,2]=>[1,8,5,4,3,6,7,2]=>[8,1,4,5,6,3,2,7]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[1,3,5,6,4,7,8,2]=>[1,8,5,4,3,6,7,2]=>[8,1,4,5,6,3,2,7]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[1,4,3,6,5,7,8,2]=>[1,8,3,5,4,6,7,2]=>[8,1,6,4,5,3,2,7]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]
[1,3,4,6,5,7,8,2]=>[1,8,3,5,4,6,7,2]=>[8,1,6,4,5,3,2,7]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]
[1,5,4,3,6,7,8,2]=>[1,8,4,3,5,6,7,2]=>[8,1,5,6,4,3,2,7]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]
[1,4,5,3,6,7,8,2]=>[1,8,4,3,5,6,7,2]=>[8,1,5,6,4,3,2,7]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]
[1,3,5,4,6,7,8,2]=>[1,8,4,3,5,6,7,2]=>[8,1,5,6,4,3,2,7]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]
[1,4,3,5,6,7,8,2]=>[1,8,3,4,5,6,7,2]=>[8,1,6,5,4,3,2,7]=>[[.,.],[[[[[.,.],.],.],.],[.,.]]]
[1,3,4,5,6,7,8,2]=>[1,8,3,4,5,6,7,2]=>[8,1,6,5,4,3,2,7]=>[[.,.],[[[[[.,.],.],.],.],[.,.]]]
[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,7,8,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,6,8,7,5,4,3]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,7,6,8,5,4,3]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,6,7,8,5,4,3]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,5,8,7,6,4,3]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,5,7,8,6,4,3]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,6,5,8,7,4,3]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,5,6,8,7,4,3]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,4,8,7,6,5,3]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,4,7,8,6,5,3]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,4,6,8,7,5,3]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,6,5,4,8,7,3]=>[2,1,8,5,4,7,6,3]=>[7,8,1,4,5,2,3,6]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[2,1,5,6,4,8,7,3]=>[2,1,8,5,4,7,6,3]=>[7,8,1,4,5,2,3,6]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[2,1,4,6,5,8,7,3]=>[2,1,8,5,4,7,6,3]=>[7,8,1,4,5,2,3,6]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[2,1,5,4,6,8,7,3]=>[2,1,8,4,5,7,6,3]=>[7,8,1,5,4,2,3,6]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]
[2,1,4,5,6,8,7,3]=>[2,1,8,4,5,7,6,3]=>[7,8,1,5,4,2,3,6]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]
[2,1,7,6,5,4,8,3]=>[2,1,8,6,5,4,7,3]=>[7,8,1,3,4,5,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[2,1,6,7,5,4,8,3]=>[2,1,8,6,5,4,7,3]=>[7,8,1,3,4,5,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[2,1,5,7,6,4,8,3]=>[2,1,8,6,5,4,7,3]=>[7,8,1,3,4,5,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[2,1,6,5,7,4,8,3]=>[2,1,8,6,5,4,7,3]=>[7,8,1,3,4,5,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[2,1,5,6,7,4,8,3]=>[2,1,8,6,5,4,7,3]=>[7,8,1,3,4,5,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[2,1,4,7,6,5,8,3]=>[2,1,8,6,5,4,7,3]=>[7,8,1,3,4,5,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[2,1,4,6,7,5,8,3]=>[2,1,8,6,5,4,7,3]=>[7,8,1,3,4,5,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[2,1,5,6,4,7,8,3]=>[2,1,8,5,4,6,7,3]=>[7,8,1,4,5,3,2,6]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[1,2,8,7,6,5,4,3]=>[1,2,8,7,6,5,4,3]=>[8,7,1,2,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,2,7,8,6,5,4,3]=>[1,2,8,7,6,5,4,3]=>[8,7,1,2,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,2,7,6,8,5,4,3]=>[1,2,8,7,6,5,4,3]=>[8,7,1,2,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,2,6,7,8,5,4,3]=>[1,2,8,7,6,5,4,3]=>[8,7,1,2,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,2,5,8,7,6,4,3]=>[1,2,8,7,6,5,4,3]=>[8,7,1,2,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,2,6,5,8,7,4,3]=>[1,2,8,7,6,5,4,3]=>[8,7,1,2,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,2,5,6,8,7,4,3]=>[1,2,8,7,6,5,4,3]=>[8,7,1,2,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,2,7,6,5,8,4,3]=>[1,2,8,7,5,6,4,3]=>[8,7,1,2,4,3,5,6]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[1,2,5,7,6,8,4,3]=>[1,2,8,7,5,6,4,3]=>[8,7,1,2,4,3,5,6]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[1,2,6,5,7,8,4,3]=>[1,2,8,7,5,6,4,3]=>[8,7,1,2,4,3,5,6]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[1,2,5,6,7,8,4,3]=>[1,2,8,7,5,6,4,3]=>[8,7,1,2,4,3,5,6]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[1,2,4,8,7,6,5,3]=>[1,2,8,7,6,5,4,3]=>[8,7,1,2,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,2,4,7,8,6,5,3]=>[1,2,8,7,6,5,4,3]=>[8,7,1,2,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,2,4,6,8,7,5,3]=>[1,2,8,7,6,5,4,3]=>[8,7,1,2,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,2,4,7,6,8,5,3]=>[1,2,8,7,5,6,4,3]=>[8,7,1,2,4,3,5,6]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[1,2,4,6,7,8,5,3]=>[1,2,8,7,5,6,4,3]=>[8,7,1,2,4,3,5,6]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[1,2,5,4,8,7,6,3]=>[1,2,8,4,7,6,5,3]=>[8,7,1,5,2,3,4,6]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[1,2,5,4,7,8,6,3]=>[1,2,8,4,7,6,5,3]=>[8,7,1,5,2,3,4,6]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[1,2,4,5,8,7,6,3]=>[1,2,8,4,7,6,5,3]=>[8,7,1,5,2,3,4,6]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[1,2,4,5,7,8,6,3]=>[1,2,8,4,7,6,5,3]=>[8,7,1,5,2,3,4,6]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[1,2,5,4,6,8,7,3]=>[1,2,8,4,5,7,6,3]=>[8,7,1,5,4,2,3,6]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]
[1,2,4,5,6,8,7,3]=>[1,2,8,4,5,7,6,3]=>[8,7,1,5,4,2,3,6]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]
[1,2,7,6,5,4,8,3]=>[1,2,8,6,5,4,7,3]=>[8,7,1,3,4,5,2,6]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]
[1,2,5,7,6,4,8,3]=>[1,2,8,6,5,4,7,3]=>[8,7,1,3,4,5,2,6]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]
[1,2,5,6,7,4,8,3]=>[1,2,8,6,5,4,7,3]=>[8,7,1,3,4,5,2,6]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]
[1,2,4,7,6,5,8,3]=>[1,2,8,6,5,4,7,3]=>[8,7,1,3,4,5,2,6]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]
[1,2,6,5,4,7,8,3]=>[1,2,8,5,4,6,7,3]=>[8,7,1,4,5,3,2,6]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]
[1,2,5,6,4,7,8,3]=>[1,2,8,5,4,6,7,3]=>[8,7,1,4,5,3,2,6]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]
[1,2,4,6,5,7,8,3]=>[1,2,8,5,4,6,7,3]=>[8,7,1,4,5,3,2,6]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]
[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[3,2,1,7,8,6,5,4]=>[3,2,1,8,7,6,5,4]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[3,2,1,6,8,7,5,4]=>[3,2,1,8,7,6,5,4]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[3,2,1,7,6,8,5,4]=>[3,2,1,8,7,6,5,4]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[3,2,1,6,7,8,5,4]=>[3,2,1,8,7,6,5,4]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[3,2,1,5,8,7,6,4]=>[3,2,1,8,7,6,5,4]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[3,2,1,5,7,8,6,4]=>[3,2,1,8,7,6,5,4]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[3,2,1,6,5,8,7,4]=>[3,2,1,8,5,7,6,4]=>[6,7,8,1,4,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[3,2,1,5,6,8,7,4]=>[3,2,1,8,5,7,6,4]=>[6,7,8,1,4,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[3,2,1,7,6,5,8,4]=>[3,2,1,8,6,5,7,4]=>[6,7,8,1,3,4,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[3,2,1,6,7,5,8,4]=>[3,2,1,8,6,5,7,4]=>[6,7,8,1,3,4,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[3,2,1,5,7,6,8,4]=>[3,2,1,8,6,5,7,4]=>[6,7,8,1,3,4,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[3,2,1,6,5,7,8,4]=>[3,2,1,8,5,6,7,4]=>[6,7,8,1,4,3,2,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[3,2,1,5,6,7,8,4]=>[3,2,1,8,5,6,7,4]=>[6,7,8,1,4,3,2,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[2,3,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[2,3,1,7,8,6,5,4]=>[3,2,1,8,7,6,5,4]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[2,3,1,6,8,7,5,4]=>[3,2,1,8,7,6,5,4]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[2,3,1,7,6,8,5,4]=>[3,2,1,8,7,6,5,4]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[2,3,1,6,7,8,5,4]=>[3,2,1,8,7,6,5,4]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[2,3,1,5,7,8,6,4]=>[3,2,1,8,7,6,5,4]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[2,3,1,6,5,8,7,4]=>[3,2,1,8,5,7,6,4]=>[6,7,8,1,4,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[2,3,1,7,6,5,8,4]=>[3,2,1,8,6,5,7,4]=>[6,7,8,1,3,4,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[2,3,1,6,7,5,8,4]=>[3,2,1,8,6,5,7,4]=>[6,7,8,1,3,4,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[2,3,1,5,7,6,8,4]=>[3,2,1,8,6,5,7,4]=>[6,7,8,1,3,4,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[2,3,1,5,6,7,8,4]=>[3,2,1,8,5,6,7,4]=>[6,7,8,1,4,3,2,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[1,3,2,8,7,6,5,4]=>[1,3,2,8,7,6,5,4]=>[8,6,7,1,2,3,4,5]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]
[1,3,2,6,8,7,5,4]=>[1,3,2,8,7,6,5,4]=>[8,6,7,1,2,3,4,5]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]
[1,3,2,7,6,8,5,4]=>[1,3,2,8,7,6,5,4]=>[8,6,7,1,2,3,4,5]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]
[1,3,2,6,7,8,5,4]=>[1,3,2,8,7,6,5,4]=>[8,6,7,1,2,3,4,5]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]
[1,3,2,5,8,7,6,4]=>[1,3,2,8,7,6,5,4]=>[8,6,7,1,2,3,4,5]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]
[1,3,2,5,7,8,6,4]=>[1,3,2,8,7,6,5,4]=>[8,6,7,1,2,3,4,5]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]
[1,3,2,7,6,5,8,4]=>[1,3,2,8,6,5,7,4]=>[8,6,7,1,3,4,2,5]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[1,3,2,6,7,5,8,4]=>[1,3,2,8,6,5,7,4]=>[8,6,7,1,3,4,2,5]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[1,3,2,5,7,6,8,4]=>[1,3,2,8,6,5,7,4]=>[8,6,7,1,3,4,2,5]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[1,3,2,6,5,7,8,4]=>[1,3,2,8,5,6,7,4]=>[8,6,7,1,4,3,2,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[1,3,2,5,6,7,8,4]=>[1,3,2,8,5,6,7,4]=>[8,6,7,1,4,3,2,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[2,1,3,8,7,6,5,4]=>[2,1,3,8,7,6,5,4]=>[7,8,6,1,2,3,4,5]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]
[2,1,3,7,8,6,5,4]=>[2,1,3,8,7,6,5,4]=>[7,8,6,1,2,3,4,5]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]
[2,1,3,6,8,7,5,4]=>[2,1,3,8,7,6,5,4]=>[7,8,6,1,2,3,4,5]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]
[2,1,3,6,7,8,5,4]=>[2,1,3,8,7,6,5,4]=>[7,8,6,1,2,3,4,5]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]
[2,1,3,6,5,8,7,4]=>[2,1,3,8,5,7,6,4]=>[7,8,6,1,4,2,3,5]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]
[2,1,3,5,6,7,8,4]=>[2,1,3,8,5,6,7,4]=>[7,8,6,1,4,3,2,5]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]
[1,2,3,8,7,6,5,4]=>[1,2,3,8,7,6,5,4]=>[8,7,6,1,2,3,4,5]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[1,2,3,7,8,6,5,4]=>[1,2,3,8,7,6,5,4]=>[8,7,6,1,2,3,4,5]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[1,2,3,6,8,7,5,4]=>[1,2,3,8,7,6,5,4]=>[8,7,6,1,2,3,4,5]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[1,2,3,7,6,8,5,4]=>[1,2,3,8,7,6,5,4]=>[8,7,6,1,2,3,4,5]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[1,2,3,6,7,8,5,4]=>[1,2,3,8,7,6,5,4]=>[8,7,6,1,2,3,4,5]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[1,2,3,5,8,7,6,4]=>[1,2,3,8,7,6,5,4]=>[8,7,6,1,2,3,4,5]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[1,2,3,5,7,8,6,4]=>[1,2,3,8,7,6,5,4]=>[8,7,6,1,2,3,4,5]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[1,2,3,6,5,8,7,4]=>[1,2,3,8,5,7,6,4]=>[8,7,6,1,4,2,3,5]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]
[1,2,3,5,6,8,7,4]=>[1,2,3,8,5,7,6,4]=>[8,7,6,1,4,2,3,5]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]
[1,2,3,7,6,5,8,4]=>[1,2,3,8,6,5,7,4]=>[8,7,6,1,3,4,2,5]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]
[1,2,3,6,7,5,8,4]=>[1,2,3,8,6,5,7,4]=>[8,7,6,1,3,4,2,5]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]
[1,2,3,5,7,6,8,4]=>[1,2,3,8,6,5,7,4]=>[8,7,6,1,3,4,2,5]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]
[1,2,3,6,5,7,8,4]=>[1,2,3,8,5,6,7,4]=>[8,7,6,1,4,3,2,5]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]
[1,2,3,5,6,7,8,4]=>[1,2,3,8,5,6,7,4]=>[8,7,6,1,4,3,2,5]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]
[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[4,3,2,1,7,8,6,5]=>[4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[4,3,2,1,6,8,7,5]=>[4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[4,3,2,1,7,6,8,5]=>[4,3,2,1,8,6,7,5]=>[5,6,7,8,1,3,2,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[4,3,2,1,6,7,8,5]=>[4,3,2,1,8,6,7,5]=>[5,6,7,8,1,3,2,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[3,4,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[3,4,2,1,7,8,6,5]=>[4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[3,4,2,1,6,8,7,5]=>[4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[3,4,2,1,7,6,8,5]=>[4,3,2,1,8,6,7,5]=>[5,6,7,8,1,3,2,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[3,4,2,1,6,7,8,5]=>[4,3,2,1,8,6,7,5]=>[5,6,7,8,1,3,2,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[2,4,3,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[2,4,3,1,7,8,6,5]=>[4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[2,4,3,1,6,8,7,5]=>[4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[2,4,3,1,7,6,8,5]=>[4,3,2,1,8,6,7,5]=>[5,6,7,8,1,3,2,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[2,4,3,1,6,7,8,5]=>[4,3,2,1,8,6,7,5]=>[5,6,7,8,1,3,2,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[3,2,4,1,8,7,6,5]=>[4,2,3,1,8,7,6,5]=>[5,7,6,8,1,2,3,4]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]
[3,2,4,1,7,8,6,5]=>[4,2,3,1,8,7,6,5]=>[5,7,6,8,1,2,3,4]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]
[3,2,4,1,6,8,7,5]=>[4,2,3,1,8,7,6,5]=>[5,7,6,8,1,2,3,4]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]
[3,2,4,1,7,6,8,5]=>[4,2,3,1,8,6,7,5]=>[5,7,6,8,1,3,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[3,2,4,1,6,7,8,5]=>[4,2,3,1,8,6,7,5]=>[5,7,6,8,1,3,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[2,3,4,1,8,7,6,5]=>[4,2,3,1,8,7,6,5]=>[5,7,6,8,1,2,3,4]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]
[2,3,4,1,7,8,6,5]=>[4,2,3,1,8,7,6,5]=>[5,7,6,8,1,2,3,4]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]
[2,3,4,1,6,8,7,5]=>[4,2,3,1,8,7,6,5]=>[5,7,6,8,1,2,3,4]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]
[2,3,4,1,7,6,8,5]=>[4,2,3,1,8,6,7,5]=>[5,7,6,8,1,3,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[2,3,4,1,6,7,8,5]=>[4,2,3,1,8,6,7,5]=>[5,7,6,8,1,3,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[1,4,3,2,8,7,6,5]=>[1,4,3,2,8,7,6,5]=>[8,5,6,7,1,2,3,4]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]
[1,4,3,2,6,8,7,5]=>[1,4,3,2,8,7,6,5]=>[8,5,6,7,1,2,3,4]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]
[1,4,3,2,7,6,8,5]=>[1,4,3,2,8,6,7,5]=>[8,5,6,7,1,3,2,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[1,4,3,2,6,7,8,5]=>[1,4,3,2,8,6,7,5]=>[8,5,6,7,1,3,2,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[1,3,4,2,8,7,6,5]=>[1,4,3,2,8,7,6,5]=>[8,5,6,7,1,2,3,4]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]
[1,3,4,2,7,8,6,5]=>[1,4,3,2,8,7,6,5]=>[8,5,6,7,1,2,3,4]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]
[1,3,4,2,6,8,7,5]=>[1,4,3,2,8,7,6,5]=>[8,5,6,7,1,2,3,4]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]
[1,3,4,2,7,6,8,5]=>[1,4,3,2,8,6,7,5]=>[8,5,6,7,1,3,2,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[1,3,4,2,6,7,8,5]=>[1,4,3,2,8,6,7,5]=>[8,5,6,7,1,3,2,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[2,1,4,3,8,7,6,5]=>[2,1,4,3,8,7,6,5]=>[7,8,5,6,1,2,3,4]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]
[2,1,4,3,7,8,6,5]=>[2,1,4,3,8,7,6,5]=>[7,8,5,6,1,2,3,4]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]
[2,1,4,3,6,8,7,5]=>[2,1,4,3,8,7,6,5]=>[7,8,5,6,1,2,3,4]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]
[2,1,4,3,7,6,8,5]=>[2,1,4,3,8,6,7,5]=>[7,8,5,6,1,3,2,4]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[2,1,4,3,6,7,8,5]=>[2,1,4,3,8,6,7,5]=>[7,8,5,6,1,3,2,4]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[1,2,4,3,8,7,6,5]=>[1,2,4,3,8,7,6,5]=>[8,7,5,6,1,2,3,4]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]
[1,2,4,3,7,8,6,5]=>[1,2,4,3,8,7,6,5]=>[8,7,5,6,1,2,3,4]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]
[1,2,4,3,6,8,7,5]=>[1,2,4,3,8,7,6,5]=>[8,7,5,6,1,2,3,4]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]
[3,2,1,4,8,7,6,5]=>[3,2,1,4,8,7,6,5]=>[6,7,8,5,1,2,3,4]=>[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]
[3,2,1,4,7,8,6,5]=>[3,2,1,4,8,7,6,5]=>[6,7,8,5,1,2,3,4]=>[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]
[3,2,1,4,6,8,7,5]=>[3,2,1,4,8,7,6,5]=>[6,7,8,5,1,2,3,4]=>[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]
[3,2,1,4,7,6,8,5]=>[3,2,1,4,8,6,7,5]=>[6,7,8,5,1,3,2,4]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]
[3,2,1,4,6,7,8,5]=>[3,2,1,4,8,6,7,5]=>[6,7,8,5,1,3,2,4]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]
[2,3,1,4,8,7,6,5]=>[3,2,1,4,8,7,6,5]=>[6,7,8,5,1,2,3,4]=>[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]
[2,3,1,4,7,8,6,5]=>[3,2,1,4,8,7,6,5]=>[6,7,8,5,1,2,3,4]=>[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]
[2,3,1,4,7,6,8,5]=>[3,2,1,4,8,6,7,5]=>[6,7,8,5,1,3,2,4]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]
[2,3,1,4,6,7,8,5]=>[3,2,1,4,8,6,7,5]=>[6,7,8,5,1,3,2,4]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]
[1,3,2,4,8,7,6,5]=>[1,3,2,4,8,7,6,5]=>[8,6,7,5,1,2,3,4]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]
[1,3,2,4,6,8,7,5]=>[1,3,2,4,8,7,6,5]=>[8,6,7,5,1,2,3,4]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]
[1,3,2,4,7,6,8,5]=>[1,3,2,4,8,6,7,5]=>[8,6,7,5,1,3,2,4]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]
[1,3,2,4,6,7,8,5]=>[1,3,2,4,8,6,7,5]=>[8,6,7,5,1,3,2,4]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]
[2,1,3,4,8,7,6,5]=>[2,1,3,4,8,7,6,5]=>[7,8,6,5,1,2,3,4]=>[[[[.,[.,.]],.],.],[.,[.,[.,.]]]]
[2,1,3,4,7,8,6,5]=>[2,1,3,4,8,7,6,5]=>[7,8,6,5,1,2,3,4]=>[[[[.,[.,.]],.],.],[.,[.,[.,.]]]]
[1,2,3,4,8,7,6,5]=>[1,2,3,4,8,7,6,5]=>[8,7,6,5,1,2,3,4]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]
[1,2,3,4,7,8,6,5]=>[1,2,3,4,8,7,6,5]=>[8,7,6,5,1,2,3,4]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]
[1,2,3,4,6,8,7,5]=>[1,2,3,4,8,7,6,5]=>[8,7,6,5,1,2,3,4]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]
[1,2,3,4,7,6,8,5]=>[1,2,3,4,8,6,7,5]=>[8,7,6,5,1,3,2,4]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]
[1,2,3,4,6,7,8,5]=>[1,2,3,4,8,6,7,5]=>[8,7,6,5,1,3,2,4]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]
[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[5,4,3,2,1,7,8,6]=>[5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[4,5,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[3,5,4,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[3,5,4,2,1,7,8,6]=>[5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[4,3,5,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[3,4,5,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[3,4,5,2,1,7,8,6]=>[5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[2,5,4,3,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[2,5,4,3,1,7,8,6]=>[5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[2,4,5,3,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[2,4,5,3,1,7,8,6]=>[5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[3,2,5,4,1,8,7,6]=>[5,2,4,3,1,8,7,6]=>[4,7,5,6,8,1,2,3]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]
[3,2,5,4,1,7,8,6]=>[5,2,4,3,1,8,7,6]=>[4,7,5,6,8,1,2,3]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]
[2,3,5,4,1,8,7,6]=>[5,2,4,3,1,8,7,6]=>[4,7,5,6,8,1,2,3]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]
[4,3,2,5,1,8,7,6]=>[5,3,2,4,1,8,7,6]=>[4,6,7,5,8,1,2,3]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]
[4,3,2,5,1,7,8,6]=>[5,3,2,4,1,8,7,6]=>[4,6,7,5,8,1,2,3]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]
[3,4,2,5,1,8,7,6]=>[5,3,2,4,1,8,7,6]=>[4,6,7,5,8,1,2,3]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]
[3,4,2,5,1,7,8,6]=>[5,3,2,4,1,8,7,6]=>[4,6,7,5,8,1,2,3]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]
[2,4,3,5,1,8,7,6]=>[5,3,2,4,1,8,7,6]=>[4,6,7,5,8,1,2,3]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]
[2,4,3,5,1,7,8,6]=>[5,3,2,4,1,8,7,6]=>[4,6,7,5,8,1,2,3]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]
[3,2,4,5,1,8,7,6]=>[5,2,3,4,1,8,7,6]=>[4,7,6,5,8,1,2,3]=>[[.,[[[.,.],.],[.,.]]],[.,[.,.]]]
[2,3,4,5,1,8,7,6]=>[5,2,3,4,1,8,7,6]=>[4,7,6,5,8,1,2,3]=>[[.,[[[.,.],.],[.,.]]],[.,[.,.]]]
[2,3,4,5,1,7,8,6]=>[5,2,3,4,1,8,7,6]=>[4,7,6,5,8,1,2,3]=>[[.,[[[.,.],.],[.,.]]],[.,[.,.]]]
[1,5,4,3,2,8,7,6]=>[1,5,4,3,2,8,7,6]=>[8,4,5,6,7,1,2,3]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]
[1,5,4,3,2,7,8,6]=>[1,5,4,3,2,8,7,6]=>[8,4,5,6,7,1,2,3]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]
[1,4,5,3,2,8,7,6]=>[1,5,4,3,2,8,7,6]=>[8,4,5,6,7,1,2,3]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]
[1,4,5,3,2,7,8,6]=>[1,5,4,3,2,8,7,6]=>[8,4,5,6,7,1,2,3]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]
[1,3,5,4,2,7,8,6]=>[1,5,4,3,2,8,7,6]=>[8,4,5,6,7,1,2,3]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]
[1,4,3,5,2,8,7,6]=>[1,5,3,4,2,8,7,6]=>[8,4,6,5,7,1,2,3]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]
[1,4,3,5,2,7,8,6]=>[1,5,3,4,2,8,7,6]=>[8,4,6,5,7,1,2,3]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]
[1,3,4,5,2,8,7,6]=>[1,5,3,4,2,8,7,6]=>[8,4,6,5,7,1,2,3]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]
[1,3,4,5,2,7,8,6]=>[1,5,3,4,2,8,7,6]=>[8,4,6,5,7,1,2,3]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]
[2,1,5,4,3,8,7,6]=>[2,1,5,4,3,8,7,6]=>[7,8,4,5,6,1,2,3]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]
[2,1,4,5,3,8,7,6]=>[2,1,5,4,3,8,7,6]=>[7,8,4,5,6,1,2,3]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]
[1,2,5,4,3,8,7,6]=>[1,2,5,4,3,8,7,6]=>[8,7,4,5,6,1,2,3]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]
[1,2,5,4,3,7,8,6]=>[1,2,5,4,3,8,7,6]=>[8,7,4,5,6,1,2,3]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]
[1,2,4,5,3,8,7,6]=>[1,2,5,4,3,8,7,6]=>[8,7,4,5,6,1,2,3]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]
[1,2,4,5,3,7,8,6]=>[1,2,5,4,3,8,7,6]=>[8,7,4,5,6,1,2,3]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]
[1,3,2,5,4,8,7,6]=>[1,3,2,5,4,8,7,6]=>[8,6,7,4,5,1,2,3]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]
[1,3,2,5,4,7,8,6]=>[1,3,2,5,4,8,7,6]=>[8,6,7,4,5,1,2,3]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]
[1,2,3,5,4,8,7,6]=>[1,2,3,5,4,8,7,6]=>[8,7,6,4,5,1,2,3]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]
[1,2,3,5,4,7,8,6]=>[1,2,3,5,4,8,7,6]=>[8,7,6,4,5,1,2,3]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]
[4,3,2,1,5,8,7,6]=>[4,3,2,1,5,8,7,6]=>[5,6,7,8,4,1,2,3]=>[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]]
[4,3,2,1,5,7,8,6]=>[4,3,2,1,5,8,7,6]=>[5,6,7,8,4,1,2,3]=>[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]]
[3,4,2,1,5,8,7,6]=>[4,3,2,1,5,8,7,6]=>[5,6,7,8,4,1,2,3]=>[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]]
[2,4,3,1,5,8,7,6]=>[4,3,2,1,5,8,7,6]=>[5,6,7,8,4,1,2,3]=>[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]]
[3,2,4,1,5,8,7,6]=>[4,2,3,1,5,8,7,6]=>[5,7,6,8,4,1,2,3]=>[[[.,[[.,.],[.,.]]],.],[.,[.,.]]]
[3,2,4,1,5,7,8,6]=>[4,2,3,1,5,8,7,6]=>[5,7,6,8,4,1,2,3]=>[[[.,[[.,.],[.,.]]],.],[.,[.,.]]]
[2,3,4,1,5,8,7,6]=>[4,2,3,1,5,8,7,6]=>[5,7,6,8,4,1,2,3]=>[[[.,[[.,.],[.,.]]],.],[.,[.,.]]]
[2,3,4,1,5,7,8,6]=>[4,2,3,1,5,8,7,6]=>[5,7,6,8,4,1,2,3]=>[[[.,[[.,.],[.,.]]],.],[.,[.,.]]]
[1,4,3,2,5,8,7,6]=>[1,4,3,2,5,8,7,6]=>[8,5,6,7,4,1,2,3]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]
[1,4,3,2,5,7,8,6]=>[1,4,3,2,5,8,7,6]=>[8,5,6,7,4,1,2,3]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]
[1,3,4,2,5,8,7,6]=>[1,4,3,2,5,8,7,6]=>[8,5,6,7,4,1,2,3]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]
[1,3,4,2,5,7,8,6]=>[1,4,3,2,5,8,7,6]=>[8,5,6,7,4,1,2,3]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]
[2,1,4,3,5,8,7,6]=>[2,1,4,3,5,8,7,6]=>[7,8,5,6,4,1,2,3]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]
[2,1,4,3,5,7,8,6]=>[2,1,4,3,5,8,7,6]=>[7,8,5,6,4,1,2,3]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]
[3,2,1,4,5,8,7,6]=>[3,2,1,4,5,8,7,6]=>[6,7,8,5,4,1,2,3]=>[[[[.,[.,[.,.]]],.],.],[.,[.,.]]]
[3,2,1,4,5,7,8,6]=>[3,2,1,4,5,8,7,6]=>[6,7,8,5,4,1,2,3]=>[[[[.,[.,[.,.]]],.],.],[.,[.,.]]]
[2,3,1,4,5,7,8,6]=>[3,2,1,4,5,8,7,6]=>[6,7,8,5,4,1,2,3]=>[[[[.,[.,[.,.]]],.],.],[.,[.,.]]]
[2,1,3,4,5,8,7,6]=>[2,1,3,4,5,8,7,6]=>[7,8,6,5,4,1,2,3]=>[[[[[.,[.,.]],.],.],.],[.,[.,.]]]
[2,1,3,4,5,7,8,6]=>[2,1,3,4,5,8,7,6]=>[7,8,6,5,4,1,2,3]=>[[[[[.,[.,.]],.],.],.],[.,[.,.]]]
[1,2,3,4,5,8,7,6]=>[1,2,3,4,5,8,7,6]=>[8,7,6,5,4,1,2,3]=>[[[[[[.,.],.],.],.],.],[.,[.,.]]]
[1,2,3,4,5,7,8,6]=>[1,2,3,4,5,8,7,6]=>[8,7,6,5,4,1,2,3]=>[[[[[[.,.],.],.],.],.],[.,[.,.]]]
[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[5,6,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[4,6,5,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[5,4,6,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[4,5,6,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[3,6,5,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[3,5,6,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[4,3,6,5,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[3,4,6,5,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[2,6,5,4,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[2,5,6,4,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[2,4,6,5,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[3,2,6,5,4,1,8,7]=>[6,2,5,4,3,1,8,7]=>[3,7,4,5,6,8,1,2]=>[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]
[3,2,5,6,4,1,8,7]=>[6,2,5,4,3,1,8,7]=>[3,7,4,5,6,8,1,2]=>[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]
[2,3,6,5,4,1,8,7]=>[6,2,5,4,3,1,8,7]=>[3,7,4,5,6,8,1,2]=>[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]
[2,3,5,6,4,1,8,7]=>[6,2,5,4,3,1,8,7]=>[3,7,4,5,6,8,1,2]=>[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]
[4,3,2,6,5,1,8,7]=>[6,3,2,5,4,1,8,7]=>[3,6,7,4,5,8,1,2]=>[[.,[[.,[.,.]],[.,[.,.]]]],[.,.]]
[3,4,2,6,5,1,8,7]=>[6,3,2,5,4,1,8,7]=>[3,6,7,4,5,8,1,2]=>[[.,[[.,[.,.]],[.,[.,.]]]],[.,.]]
[2,4,3,6,5,1,8,7]=>[6,3,2,5,4,1,8,7]=>[3,6,7,4,5,8,1,2]=>[[.,[[.,[.,.]],[.,[.,.]]]],[.,.]]
[3,2,5,4,6,1,8,7]=>[6,2,4,3,5,1,8,7]=>[3,7,5,6,4,8,1,2]=>[[.,[[[.,.],[.,.]],[.,.]]],[.,.]]
[4,3,2,5,6,1,8,7]=>[6,3,2,4,5,1,8,7]=>[3,6,7,5,4,8,1,2]=>[[.,[[[.,[.,.]],.],[.,.]]],[.,.]]
[3,4,2,5,6,1,8,7]=>[6,3,2,4,5,1,8,7]=>[3,6,7,5,4,8,1,2]=>[[.,[[[.,[.,.]],.],[.,.]]],[.,.]]
[2,4,3,5,6,1,8,7]=>[6,3,2,4,5,1,8,7]=>[3,6,7,5,4,8,1,2]=>[[.,[[[.,[.,.]],.],[.,.]]],[.,.]]
[1,6,5,4,3,2,8,7]=>[1,6,5,4,3,2,8,7]=>[8,3,4,5,6,7,1,2]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]
[1,5,6,4,3,2,8,7]=>[1,6,5,4,3,2,8,7]=>[8,3,4,5,6,7,1,2]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]
[1,5,4,6,3,2,8,7]=>[1,6,5,4,3,2,8,7]=>[8,3,4,5,6,7,1,2]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]
[1,3,6,5,4,2,8,7]=>[1,6,5,4,3,2,8,7]=>[8,3,4,5,6,7,1,2]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]
[2,1,6,5,4,3,8,7]=>[2,1,6,5,4,3,8,7]=>[7,8,3,4,5,6,1,2]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]
[2,1,5,6,4,3,8,7]=>[2,1,6,5,4,3,8,7]=>[7,8,3,4,5,6,1,2]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]
[2,1,4,6,5,3,8,7]=>[2,1,6,5,4,3,8,7]=>[7,8,3,4,5,6,1,2]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]
[2,1,5,4,6,3,8,7]=>[2,1,6,4,5,3,8,7]=>[7,8,3,5,4,6,1,2]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]
[2,1,4,5,6,3,8,7]=>[2,1,6,4,5,3,8,7]=>[7,8,3,5,4,6,1,2]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]
[1,3,2,6,5,4,8,7]=>[1,3,2,6,5,4,8,7]=>[8,6,7,3,4,5,1,2]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]
[1,3,2,5,6,4,8,7]=>[1,3,2,6,5,4,8,7]=>[8,6,7,3,4,5,1,2]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]
[2,1,3,6,5,4,8,7]=>[2,1,3,6,5,4,8,7]=>[7,8,6,3,4,5,1,2]=>[[[[.,[.,.]],.],[.,[.,.]]],[.,.]]
[2,1,3,5,6,4,8,7]=>[2,1,3,6,5,4,8,7]=>[7,8,6,3,4,5,1,2]=>[[[[.,[.,.]],.],[.,[.,.]]],[.,.]]
[1,2,3,6,5,4,8,7]=>[1,2,3,6,5,4,8,7]=>[8,7,6,3,4,5,1,2]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]
[1,2,3,5,6,4,8,7]=>[1,2,3,6,5,4,8,7]=>[8,7,6,3,4,5,1,2]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]
[4,3,2,1,6,5,8,7]=>[4,3,2,1,6,5,8,7]=>[5,6,7,8,3,4,1,2]=>[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]
[3,4,2,1,6,5,8,7]=>[4,3,2,1,6,5,8,7]=>[5,6,7,8,3,4,1,2]=>[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]
[2,4,3,1,6,5,8,7]=>[4,3,2,1,6,5,8,7]=>[5,6,7,8,3,4,1,2]=>[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]
[3,2,4,1,6,5,8,7]=>[4,2,3,1,6,5,8,7]=>[5,7,6,8,3,4,1,2]=>[[[.,[[.,.],[.,.]]],[.,.]],[.,.]]
[2,3,4,1,6,5,8,7]=>[4,2,3,1,6,5,8,7]=>[5,7,6,8,3,4,1,2]=>[[[.,[[.,.],[.,.]]],[.,.]],[.,.]]
[1,3,4,2,6,5,8,7]=>[1,4,3,2,6,5,8,7]=>[8,5,6,7,3,4,1,2]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]
[2,1,4,3,6,5,8,7]=>[2,1,4,3,6,5,8,7]=>[7,8,5,6,3,4,1,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]
[1,2,4,3,6,5,8,7]=>[1,2,4,3,6,5,8,7]=>[8,7,5,6,3,4,1,2]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]
[2,3,1,4,6,5,8,7]=>[3,2,1,4,6,5,8,7]=>[6,7,8,5,3,4,1,2]=>[[[[.,[.,[.,.]]],.],[.,.]],[.,.]]
[2,1,3,4,6,5,8,7]=>[2,1,3,4,6,5,8,7]=>[7,8,6,5,3,4,1,2]=>[[[[[.,[.,.]],.],.],[.,.]],[.,.]]
[1,2,3,4,6,5,8,7]=>[1,2,3,4,6,5,8,7]=>[8,7,6,5,3,4,1,2]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]
[5,4,3,2,1,6,8,7]=>[5,4,3,2,1,6,8,7]=>[4,5,6,7,8,3,1,2]=>[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]]
[4,5,3,2,1,6,8,7]=>[5,4,3,2,1,6,8,7]=>[4,5,6,7,8,3,1,2]=>[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]]
[3,5,4,2,1,6,8,7]=>[5,4,3,2,1,6,8,7]=>[4,5,6,7,8,3,1,2]=>[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]]
[4,3,5,2,1,6,8,7]=>[5,4,3,2,1,6,8,7]=>[4,5,6,7,8,3,1,2]=>[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]]
[3,4,5,2,1,6,8,7]=>[5,4,3,2,1,6,8,7]=>[4,5,6,7,8,3,1,2]=>[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]]
[2,5,4,3,1,6,8,7]=>[5,4,3,2,1,6,8,7]=>[4,5,6,7,8,3,1,2]=>[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]]
[2,4,5,3,1,6,8,7]=>[5,4,3,2,1,6,8,7]=>[4,5,6,7,8,3,1,2]=>[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]]
[3,2,5,4,1,6,8,7]=>[5,2,4,3,1,6,8,7]=>[4,7,5,6,8,3,1,2]=>[[[.,[[.,.],[.,[.,.]]]],.],[.,.]]
[2,3,5,4,1,6,8,7]=>[5,2,4,3,1,6,8,7]=>[4,7,5,6,8,3,1,2]=>[[[.,[[.,.],[.,[.,.]]]],.],[.,.]]
[2,4,3,5,1,6,8,7]=>[5,3,2,4,1,6,8,7]=>[4,6,7,5,8,3,1,2]=>[[[.,[[.,[.,.]],[.,.]]],.],[.,.]]
[2,1,5,4,3,6,8,7]=>[2,1,5,4,3,6,8,7]=>[7,8,4,5,6,3,1,2]=>[[[[.,[.,.]],[.,[.,.]]],.],[.,.]]
[2,1,4,5,3,6,8,7]=>[2,1,5,4,3,6,8,7]=>[7,8,4,5,6,3,1,2]=>[[[[.,[.,.]],[.,[.,.]]],.],[.,.]]
[2,1,3,5,4,6,8,7]=>[2,1,3,5,4,6,8,7]=>[7,8,6,4,5,3,1,2]=>[[[[[.,[.,.]],.],[.,.]],.],[.,.]]
[1,2,3,5,4,6,8,7]=>[1,2,3,5,4,6,8,7]=>[8,7,6,4,5,3,1,2]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]
[4,3,2,1,5,6,8,7]=>[4,3,2,1,5,6,8,7]=>[5,6,7,8,4,3,1,2]=>[[[[.,[.,[.,[.,.]]]],.],.],[.,.]]
[3,4,2,1,5,6,8,7]=>[4,3,2,1,5,6,8,7]=>[5,6,7,8,4,3,1,2]=>[[[[.,[.,[.,[.,.]]]],.],.],[.,.]]
[2,1,4,3,5,6,8,7]=>[2,1,4,3,5,6,8,7]=>[7,8,5,6,4,3,1,2]=>[[[[[.,[.,.]],[.,.]],.],.],[.,.]]
[1,2,4,3,5,6,8,7]=>[1,2,4,3,5,6,8,7]=>[8,7,5,6,4,3,1,2]=>[[[[[[.,.],.],[.,.]],.],.],[.,.]]
[3,2,1,4,5,6,8,7]=>[3,2,1,4,5,6,8,7]=>[6,7,8,5,4,3,1,2]=>[[[[[.,[.,[.,.]]],.],.],.],[.,.]]
[2,3,1,4,5,6,8,7]=>[3,2,1,4,5,6,8,7]=>[6,7,8,5,4,3,1,2]=>[[[[[.,[.,[.,.]]],.],.],.],[.,.]]
[1,3,2,4,5,6,8,7]=>[1,3,2,4,5,6,8,7]=>[8,6,7,5,4,3,1,2]=>[[[[[[.,.],[.,.]],.],.],.],[.,.]]
[2,1,3,4,5,6,8,7]=>[2,1,3,4,5,6,8,7]=>[7,8,6,5,4,3,1,2]=>[[[[[[.,[.,.]],.],.],.],.],[.,.]]
[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]=>[8,7,6,5,4,3,1,2]=>[[[[[[[.,.],.],.],.],.],.],[.,.]]
[5,7,6,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,7,6,5,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,6,7,5,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,4,7,6,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,5,7,6,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,6,5,7,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[3,5,7,6,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[3,5,6,7,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,3,7,6,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[3,4,7,6,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,4,3,7,6,2,1,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[4,5,3,7,6,2,1,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[3,5,4,7,6,2,1,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[4,3,5,7,6,2,1,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[3,6,5,4,7,2,1,8]=>[7,6,4,3,5,2,1,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[3,5,6,4,7,2,1,8]=>[7,6,4,3,5,2,1,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[4,3,6,5,7,2,1,8]=>[7,6,4,3,5,2,1,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[2,7,6,5,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[2,6,7,5,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[2,5,7,6,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[2,5,6,7,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[2,4,6,7,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[2,5,4,7,6,3,1,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[2,5,6,4,7,3,1,8]=>[7,6,4,3,5,2,1,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[2,5,4,6,7,3,1,8]=>[7,6,3,4,5,2,1,8]=>[2,3,6,5,4,7,8,1]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[2,4,5,6,7,3,1,8]=>[7,6,3,4,5,2,1,8]=>[2,3,6,5,4,7,8,1]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[3,2,6,5,7,4,1,8]=>[7,2,6,4,5,3,1,8]=>[2,7,3,5,4,6,8,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[3,2,5,6,7,4,1,8]=>[7,2,6,4,5,3,1,8]=>[2,7,3,5,4,6,8,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[2,3,6,5,7,4,1,8]=>[7,2,6,4,5,3,1,8]=>[2,7,3,5,4,6,8,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[2,3,5,6,7,4,1,8]=>[7,2,6,4,5,3,1,8]=>[2,7,3,5,4,6,8,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[3,2,4,6,7,5,1,8]=>[7,2,3,6,5,4,1,8]=>[2,7,6,3,4,5,8,1]=>[[.,[[[.,.],.],[.,[.,[.,.]]]]],.]
[2,3,4,7,6,5,1,8]=>[7,2,3,6,5,4,1,8]=>[2,7,6,3,4,5,8,1]=>[[.,[[[.,.],.],[.,[.,[.,.]]]]],.]
[2,3,4,6,7,5,1,8]=>[7,2,3,6,5,4,1,8]=>[2,7,6,3,4,5,8,1]=>[[.,[[[.,.],.],[.,[.,[.,.]]]]],.]
[4,3,2,5,7,6,1,8]=>[7,3,2,4,6,5,1,8]=>[2,6,7,5,3,4,8,1]=>[[.,[[[.,[.,.]],.],[.,[.,.]]]],.]
[3,4,2,5,7,6,1,8]=>[7,3,2,4,6,5,1,8]=>[2,6,7,5,3,4,8,1]=>[[.,[[[.,[.,.]],.],[.,[.,.]]]],.]
[2,3,4,5,7,6,1,8]=>[7,2,3,4,6,5,1,8]=>[2,7,6,5,3,4,8,1]=>[[.,[[[[.,.],.],.],[.,[.,.]]]],.]
[3,6,5,4,2,7,1,8]=>[7,5,4,3,2,6,1,8]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[3,5,6,4,2,7,1,8]=>[7,5,4,3,2,6,1,8]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[3,4,6,5,2,7,1,8]=>[7,5,4,3,2,6,1,8]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[3,5,4,6,2,7,1,8]=>[7,5,3,4,2,6,1,8]=>[2,4,6,5,7,3,8,1]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[2,5,4,6,3,7,1,8]=>[7,5,3,4,2,6,1,8]=>[2,4,6,5,7,3,8,1]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[2,4,5,6,3,7,1,8]=>[7,5,3,4,2,6,1,8]=>[2,4,6,5,7,3,8,1]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[3,2,6,5,4,7,1,8]=>[7,2,5,4,3,6,1,8]=>[2,7,4,5,6,3,8,1]=>[[.,[[[.,.],[.,[.,.]]],[.,.]]],.]
[2,3,5,6,4,7,1,8]=>[7,2,5,4,3,6,1,8]=>[2,7,4,5,6,3,8,1]=>[[.,[[[.,.],[.,[.,.]]],[.,.]]],.]
[2,3,4,6,5,7,1,8]=>[7,2,3,5,4,6,1,8]=>[2,7,6,4,5,3,8,1]=>[[.,[[[[.,.],.],[.,.]],[.,.]]],.]
[3,5,4,2,6,7,1,8]=>[7,4,3,2,5,6,1,8]=>[2,5,6,7,4,3,8,1]=>[[.,[[[.,[.,[.,.]]],.],[.,.]]],.]
[2,5,4,3,6,7,1,8]=>[7,4,3,2,5,6,1,8]=>[2,5,6,7,4,3,8,1]=>[[.,[[[.,[.,[.,.]]],.],[.,.]]],.]
[2,4,5,3,6,7,1,8]=>[7,4,3,2,5,6,1,8]=>[2,5,6,7,4,3,8,1]=>[[.,[[[.,[.,[.,.]]],.],[.,.]]],.]
[2,3,5,4,6,7,1,8]=>[7,2,4,3,5,6,1,8]=>[2,7,5,6,4,3,8,1]=>[[.,[[[[.,.],[.,.]],.],[.,.]]],.]
[1,7,6,5,4,3,2,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[1,6,7,5,4,3,2,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[1,6,5,7,4,3,2,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[1,5,6,7,4,3,2,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[1,4,7,6,5,3,2,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[1,4,6,7,5,3,2,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[1,5,4,7,6,3,2,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[1,5,6,4,7,3,2,8]=>[1,7,6,4,5,3,2,8]=>[8,2,3,5,4,6,7,1]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[1,4,6,5,7,3,2,8]=>[1,7,6,4,5,3,2,8]=>[8,2,3,5,4,6,7,1]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[1,5,4,6,7,3,2,8]=>[1,7,6,4,5,3,2,8]=>[8,2,3,5,4,6,7,1]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[1,4,5,6,7,3,2,8]=>[1,7,6,4,5,3,2,8]=>[8,2,3,5,4,6,7,1]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[1,3,7,6,5,4,2,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[1,3,6,7,5,4,2,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[1,3,5,7,6,4,2,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[1,3,6,5,7,4,2,8]=>[1,7,6,4,5,3,2,8]=>[8,2,3,5,4,6,7,1]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[1,3,5,6,7,4,2,8]=>[1,7,6,4,5,3,2,8]=>[8,2,3,5,4,6,7,1]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[1,3,4,6,7,5,2,8]=>[1,7,3,6,5,4,2,8]=>[8,2,6,3,4,5,7,1]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[1,4,3,6,5,7,2,8]=>[1,7,3,5,4,6,2,8]=>[8,2,6,4,5,3,7,1]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[1,3,4,6,5,7,2,8]=>[1,7,3,5,4,6,2,8]=>[8,2,6,4,5,3,7,1]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[1,4,3,5,6,7,2,8]=>[1,7,3,4,5,6,2,8]=>[8,2,6,5,4,3,7,1]=>[[[.,.],[[[[.,.],.],.],[.,.]]],.]
[1,3,4,5,6,7,2,8]=>[1,7,3,4,5,6,2,8]=>[8,2,6,5,4,3,7,1]=>[[[.,.],[[[[.,.],.],.],[.,.]]],.]
[2,1,7,6,5,4,3,8]=>[2,1,7,6,5,4,3,8]=>[7,8,2,3,4,5,6,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[2,1,6,7,5,4,3,8]=>[2,1,7,6,5,4,3,8]=>[7,8,2,3,4,5,6,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[2,1,5,6,7,4,3,8]=>[2,1,7,6,5,4,3,8]=>[7,8,2,3,4,5,6,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[2,1,4,6,7,5,3,8]=>[2,1,7,6,5,4,3,8]=>[7,8,2,3,4,5,6,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[2,1,5,4,6,7,3,8]=>[2,1,7,4,5,6,3,8]=>[7,8,2,5,4,3,6,1]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]
[2,1,4,5,6,7,3,8]=>[2,1,7,4,5,6,3,8]=>[7,8,2,5,4,3,6,1]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]
[1,2,7,6,5,4,3,8]=>[1,2,7,6,5,4,3,8]=>[8,7,2,3,4,5,6,1]=>[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]
[1,2,6,7,5,4,3,8]=>[1,2,7,6,5,4,3,8]=>[8,7,2,3,4,5,6,1]=>[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]
[1,2,5,7,6,4,3,8]=>[1,2,7,6,5,4,3,8]=>[8,7,2,3,4,5,6,1]=>[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]
[1,2,5,6,7,4,3,8]=>[1,2,7,6,5,4,3,8]=>[8,7,2,3,4,5,6,1]=>[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]
[1,2,4,6,7,5,3,8]=>[1,2,7,6,5,4,3,8]=>[8,7,2,3,4,5,6,1]=>[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]
[1,2,5,6,4,7,3,8]=>[1,2,7,5,4,6,3,8]=>[8,7,2,4,5,3,6,1]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]
[1,2,4,6,5,7,3,8]=>[1,2,7,5,4,6,3,8]=>[8,7,2,4,5,3,6,1]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]
[1,2,5,4,6,7,3,8]=>[1,2,7,4,5,6,3,8]=>[8,7,2,5,4,3,6,1]=>[[[[.,.],.],[[[.,.],.],[.,.]]],.]
[1,2,4,5,6,7,3,8]=>[1,2,7,4,5,6,3,8]=>[8,7,2,5,4,3,6,1]=>[[[[.,.],.],[[[.,.],.],[.,.]]],.]
[3,2,1,7,6,5,4,8]=>[3,2,1,7,6,5,4,8]=>[6,7,8,2,3,4,5,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[3,2,1,6,7,5,4,8]=>[3,2,1,7,6,5,4,8]=>[6,7,8,2,3,4,5,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[3,2,1,5,7,6,4,8]=>[3,2,1,7,6,5,4,8]=>[6,7,8,2,3,4,5,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[3,2,1,6,5,7,4,8]=>[3,2,1,7,5,6,4,8]=>[6,7,8,2,4,3,5,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[3,2,1,5,6,7,4,8]=>[3,2,1,7,5,6,4,8]=>[6,7,8,2,4,3,5,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[2,3,1,6,7,5,4,8]=>[3,2,1,7,6,5,4,8]=>[6,7,8,2,3,4,5,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[2,3,1,6,5,7,4,8]=>[3,2,1,7,5,6,4,8]=>[6,7,8,2,4,3,5,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[2,3,1,5,6,7,4,8]=>[3,2,1,7,5,6,4,8]=>[6,7,8,2,4,3,5,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[1,3,2,7,6,5,4,8]=>[1,3,2,7,6,5,4,8]=>[8,6,7,2,3,4,5,1]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]
[1,3,2,6,7,5,4,8]=>[1,3,2,7,6,5,4,8]=>[8,6,7,2,3,4,5,1]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]
[1,3,2,5,7,6,4,8]=>[1,3,2,7,6,5,4,8]=>[8,6,7,2,3,4,5,1]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]
[2,1,3,6,7,5,4,8]=>[2,1,3,7,6,5,4,8]=>[7,8,6,2,3,4,5,1]=>[[[[.,[.,.]],.],[.,[.,[.,.]]]],.]
[1,2,3,7,6,5,4,8]=>[1,2,3,7,6,5,4,8]=>[8,7,6,2,3,4,5,1]=>[[[[[.,.],.],.],[.,[.,[.,.]]]],.]
[1,2,3,6,7,5,4,8]=>[1,2,3,7,6,5,4,8]=>[8,7,6,2,3,4,5,1]=>[[[[[.,.],.],.],[.,[.,[.,.]]]],.]
[1,2,3,5,7,6,4,8]=>[1,2,3,7,6,5,4,8]=>[8,7,6,2,3,4,5,1]=>[[[[[.,.],.],.],[.,[.,[.,.]]]],.]
[4,3,2,1,7,6,5,8]=>[4,3,2,1,7,6,5,8]=>[5,6,7,8,2,3,4,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[4,3,2,1,6,7,5,8]=>[4,3,2,1,7,6,5,8]=>[5,6,7,8,2,3,4,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[3,2,4,1,7,6,5,8]=>[4,2,3,1,7,6,5,8]=>[5,7,6,8,2,3,4,1]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[3,2,4,1,6,7,5,8]=>[4,2,3,1,7,6,5,8]=>[5,7,6,8,2,3,4,1]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[2,3,4,1,7,6,5,8]=>[4,2,3,1,7,6,5,8]=>[5,7,6,8,2,3,4,1]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[2,3,4,1,6,7,5,8]=>[4,2,3,1,7,6,5,8]=>[5,7,6,8,2,3,4,1]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[1,4,3,2,7,6,5,8]=>[1,4,3,2,7,6,5,8]=>[8,5,6,7,2,3,4,1]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]
[1,4,3,2,6,7,5,8]=>[1,4,3,2,7,6,5,8]=>[8,5,6,7,2,3,4,1]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]
[1,3,4,2,6,7,5,8]=>[1,4,3,2,7,6,5,8]=>[8,5,6,7,2,3,4,1]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]
[2,1,4,3,6,7,5,8]=>[2,1,4,3,7,6,5,8]=>[7,8,5,6,2,3,4,1]=>[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]
[1,2,4,3,6,7,5,8]=>[1,2,4,3,7,6,5,8]=>[8,7,5,6,2,3,4,1]=>[[[[[.,.],.],[.,.]],[.,[.,.]]],.]
[3,2,1,4,7,6,5,8]=>[3,2,1,4,7,6,5,8]=>[6,7,8,5,2,3,4,1]=>[[[[.,[.,[.,.]]],.],[.,[.,.]]],.]
[2,3,1,4,6,7,5,8]=>[3,2,1,4,7,6,5,8]=>[6,7,8,5,2,3,4,1]=>[[[[.,[.,[.,.]]],.],[.,[.,.]]],.]
[1,3,2,4,7,6,5,8]=>[1,3,2,4,7,6,5,8]=>[8,6,7,5,2,3,4,1]=>[[[[[.,.],[.,.]],.],[.,[.,.]]],.]
[1,3,2,4,6,7,5,8]=>[1,3,2,4,7,6,5,8]=>[8,6,7,5,2,3,4,1]=>[[[[[.,.],[.,.]],.],[.,[.,.]]],.]
[1,2,3,4,7,6,5,8]=>[1,2,3,4,7,6,5,8]=>[8,7,6,5,2,3,4,1]=>[[[[[[.,.],.],.],.],[.,[.,.]]],.]
[1,2,3,4,6,7,5,8]=>[1,2,3,4,7,6,5,8]=>[8,7,6,5,2,3,4,1]=>[[[[[[.,.],.],.],.],[.,[.,.]]],.]
[5,4,3,2,1,7,6,8]=>[5,4,3,2,1,7,6,8]=>[4,5,6,7,8,2,3,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[4,5,3,2,1,7,6,8]=>[5,4,3,2,1,7,6,8]=>[4,5,6,7,8,2,3,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[3,5,4,2,1,7,6,8]=>[5,4,3,2,1,7,6,8]=>[4,5,6,7,8,2,3,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[3,4,5,2,1,7,6,8]=>[5,4,3,2,1,7,6,8]=>[4,5,6,7,8,2,3,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[2,5,4,3,1,7,6,8]=>[5,4,3,2,1,7,6,8]=>[4,5,6,7,8,2,3,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[2,4,5,3,1,7,6,8]=>[5,4,3,2,1,7,6,8]=>[4,5,6,7,8,2,3,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[3,2,5,4,1,7,6,8]=>[5,2,4,3,1,7,6,8]=>[4,7,5,6,8,2,3,1]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[2,3,5,4,1,7,6,8]=>[5,2,4,3,1,7,6,8]=>[4,7,5,6,8,2,3,1]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[3,4,2,5,1,7,6,8]=>[5,3,2,4,1,7,6,8]=>[4,6,7,5,8,2,3,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[2,4,3,5,1,7,6,8]=>[5,3,2,4,1,7,6,8]=>[4,6,7,5,8,2,3,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[2,3,4,5,1,7,6,8]=>[5,2,3,4,1,7,6,8]=>[4,7,6,5,8,2,3,1]=>[[[.,[[[.,.],.],[.,.]]],[.,.]],.]
[1,5,4,3,2,7,6,8]=>[1,5,4,3,2,7,6,8]=>[8,4,5,6,7,2,3,1]=>[[[[.,.],[.,[.,[.,.]]]],[.,.]],.]
[1,4,5,3,2,7,6,8]=>[1,5,4,3,2,7,6,8]=>[8,4,5,6,7,2,3,1]=>[[[[.,.],[.,[.,[.,.]]]],[.,.]],.]
[1,3,5,4,2,7,6,8]=>[1,5,4,3,2,7,6,8]=>[8,4,5,6,7,2,3,1]=>[[[[.,.],[.,[.,[.,.]]]],[.,.]],.]
[1,4,3,5,2,7,6,8]=>[1,5,3,4,2,7,6,8]=>[8,4,6,5,7,2,3,1]=>[[[[.,.],[[.,.],[.,.]]],[.,.]],.]
[1,3,4,5,2,7,6,8]=>[1,5,3,4,2,7,6,8]=>[8,4,6,5,7,2,3,1]=>[[[[.,.],[[.,.],[.,.]]],[.,.]],.]
[2,1,5,4,3,7,6,8]=>[2,1,5,4,3,7,6,8]=>[7,8,4,5,6,2,3,1]=>[[[[.,[.,.]],[.,[.,.]]],[.,.]],.]
[1,2,4,5,3,7,6,8]=>[1,2,5,4,3,7,6,8]=>[8,7,4,5,6,2,3,1]=>[[[[[.,.],.],[.,[.,.]]],[.,.]],.]
[3,2,1,5,4,7,6,8]=>[3,2,1,5,4,7,6,8]=>[6,7,8,4,5,2,3,1]=>[[[[.,[.,[.,.]]],[.,.]],[.,.]],.]
[2,3,1,5,4,7,6,8]=>[3,2,1,5,4,7,6,8]=>[6,7,8,4,5,2,3,1]=>[[[[.,[.,[.,.]]],[.,.]],[.,.]],.]
[1,3,2,5,4,7,6,8]=>[1,3,2,5,4,7,6,8]=>[8,6,7,4,5,2,3,1]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]
[1,2,3,5,4,7,6,8]=>[1,2,3,5,4,7,6,8]=>[8,7,6,4,5,2,3,1]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.]
[4,3,2,1,5,7,6,8]=>[4,3,2,1,5,7,6,8]=>[5,6,7,8,4,2,3,1]=>[[[[.,[.,[.,[.,.]]]],.],[.,.]],.]
[3,2,4,1,5,7,6,8]=>[4,2,3,1,5,7,6,8]=>[5,7,6,8,4,2,3,1]=>[[[[.,[[.,.],[.,.]]],.],[.,.]],.]
[2,3,4,1,5,7,6,8]=>[4,2,3,1,5,7,6,8]=>[5,7,6,8,4,2,3,1]=>[[[[.,[[.,.],[.,.]]],.],[.,.]],.]
[1,4,3,2,5,7,6,8]=>[1,4,3,2,5,7,6,8]=>[8,5,6,7,4,2,3,1]=>[[[[[.,.],[.,[.,.]]],.],[.,.]],.]
[1,3,4,2,5,7,6,8]=>[1,4,3,2,5,7,6,8]=>[8,5,6,7,4,2,3,1]=>[[[[[.,.],[.,[.,.]]],.],[.,.]],.]
[1,2,4,3,5,7,6,8]=>[1,2,4,3,5,7,6,8]=>[8,7,5,6,4,2,3,1]=>[[[[[[.,.],.],[.,.]],.],[.,.]],.]
[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6,8]=>[8,6,7,5,4,2,3,1]=>[[[[[[.,.],[.,.]],.],.],[.,.]],.]
[2,1,3,4,5,7,6,8]=>[2,1,3,4,5,7,6,8]=>[7,8,6,5,4,2,3,1]=>[[[[[[.,[.,.]],.],.],.],[.,.]],.]
[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,7,6,8]=>[8,7,6,5,4,2,3,1]=>[[[[[[[.,.],.],.],.],.],[.,.]],.]
[3,6,5,4,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[4,3,6,5,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[2,4,6,5,3,1,7,8]=>[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[2,4,5,6,3,1,7,8]=>[6,5,3,4,2,1,7,8]=>[3,4,6,5,7,8,2,1]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[4,3,2,6,5,1,7,8]=>[6,3,2,5,4,1,7,8]=>[3,6,7,4,5,8,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[2,4,3,6,5,1,7,8]=>[6,3,2,5,4,1,7,8]=>[3,6,7,4,5,8,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[2,3,4,6,5,1,7,8]=>[6,2,3,5,4,1,7,8]=>[3,7,6,4,5,8,2,1]=>[[[.,[[[.,.],.],[.,[.,.]]]],.],.]
[3,5,4,2,6,1,7,8]=>[6,4,3,2,5,1,7,8]=>[3,5,6,7,4,8,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[1,6,5,4,3,2,7,8]=>[1,6,5,4,3,2,7,8]=>[8,3,4,5,6,7,2,1]=>[[[[.,.],[.,[.,[.,[.,.]]]]],.],.]
[1,5,6,4,3,2,7,8]=>[1,6,5,4,3,2,7,8]=>[8,3,4,5,6,7,2,1]=>[[[[.,.],[.,[.,[.,[.,.]]]]],.],.]
[1,4,6,5,3,2,7,8]=>[1,6,5,4,3,2,7,8]=>[8,3,4,5,6,7,2,1]=>[[[[.,.],[.,[.,[.,[.,.]]]]],.],.]
[1,5,4,6,3,2,7,8]=>[1,6,5,4,3,2,7,8]=>[8,3,4,5,6,7,2,1]=>[[[[.,.],[.,[.,[.,[.,.]]]]],.],.]
[1,4,5,6,3,2,7,8]=>[1,6,5,4,3,2,7,8]=>[8,3,4,5,6,7,2,1]=>[[[[.,.],[.,[.,[.,[.,.]]]]],.],.]
[1,3,5,6,4,2,7,8]=>[1,6,5,4,3,2,7,8]=>[8,3,4,5,6,7,2,1]=>[[[[.,.],[.,[.,[.,[.,.]]]]],.],.]
[1,5,4,3,6,2,7,8]=>[1,6,4,3,5,2,7,8]=>[8,3,5,6,4,7,2,1]=>[[[[.,.],[[.,[.,.]],[.,.]]],.],.]
[1,4,5,3,6,2,7,8]=>[1,6,4,3,5,2,7,8]=>[8,3,5,6,4,7,2,1]=>[[[[.,.],[[.,[.,.]],[.,.]]],.],.]
[1,3,5,4,6,2,7,8]=>[1,6,4,3,5,2,7,8]=>[8,3,5,6,4,7,2,1]=>[[[[.,.],[[.,[.,.]],[.,.]]],.],.]
[1,4,3,5,6,2,7,8]=>[1,6,3,4,5,2,7,8]=>[8,3,6,5,4,7,2,1]=>[[[[.,.],[[[.,.],.],[.,.]]],.],.]
[1,3,4,5,6,2,7,8]=>[1,6,3,4,5,2,7,8]=>[8,3,6,5,4,7,2,1]=>[[[[.,.],[[[.,.],.],[.,.]]],.],.]
[2,1,5,6,4,3,7,8]=>[2,1,6,5,4,3,7,8]=>[7,8,3,4,5,6,2,1]=>[[[[.,[.,.]],[.,[.,[.,.]]]],.],.]
[2,1,4,6,5,3,7,8]=>[2,1,6,5,4,3,7,8]=>[7,8,3,4,5,6,2,1]=>[[[[.,[.,.]],[.,[.,[.,.]]]],.],.]
[1,2,6,5,4,3,7,8]=>[1,2,6,5,4,3,7,8]=>[8,7,3,4,5,6,2,1]=>[[[[[.,.],.],[.,[.,[.,.]]]],.],.]
[1,2,5,6,4,3,7,8]=>[1,2,6,5,4,3,7,8]=>[8,7,3,4,5,6,2,1]=>[[[[[.,.],.],[.,[.,[.,.]]]],.],.]
[1,2,4,6,5,3,7,8]=>[1,2,6,5,4,3,7,8]=>[8,7,3,4,5,6,2,1]=>[[[[[.,.],.],[.,[.,[.,.]]]],.],.]
[1,2,4,5,6,3,7,8]=>[1,2,6,4,5,3,7,8]=>[8,7,3,5,4,6,2,1]=>[[[[[.,.],.],[[.,.],[.,.]]],.],.]
[3,2,1,6,5,4,7,8]=>[3,2,1,6,5,4,7,8]=>[6,7,8,3,4,5,2,1]=>[[[[.,[.,[.,.]]],[.,[.,.]]],.],.]
[3,2,1,5,6,4,7,8]=>[3,2,1,6,5,4,7,8]=>[6,7,8,3,4,5,2,1]=>[[[[.,[.,[.,.]]],[.,[.,.]]],.],.]
[2,3,1,6,5,4,7,8]=>[3,2,1,6,5,4,7,8]=>[6,7,8,3,4,5,2,1]=>[[[[.,[.,[.,.]]],[.,[.,.]]],.],.]
[2,3,1,5,6,4,7,8]=>[3,2,1,6,5,4,7,8]=>[6,7,8,3,4,5,2,1]=>[[[[.,[.,[.,.]]],[.,[.,.]]],.],.]
[1,3,2,6,5,4,7,8]=>[1,3,2,6,5,4,7,8]=>[8,6,7,3,4,5,2,1]=>[[[[[.,.],[.,.]],[.,[.,.]]],.],.]
[1,3,2,5,6,4,7,8]=>[1,3,2,6,5,4,7,8]=>[8,6,7,3,4,5,2,1]=>[[[[[.,.],[.,.]],[.,[.,.]]],.],.]
[1,2,3,6,5,4,7,8]=>[1,2,3,6,5,4,7,8]=>[8,7,6,3,4,5,2,1]=>[[[[[[.,.],.],.],[.,[.,.]]],.],.]
[1,2,3,5,6,4,7,8]=>[1,2,3,6,5,4,7,8]=>[8,7,6,3,4,5,2,1]=>[[[[[[.,.],.],.],[.,[.,.]]],.],.]
[4,3,2,1,6,5,7,8]=>[4,3,2,1,6,5,7,8]=>[5,6,7,8,3,4,2,1]=>[[[[.,[.,[.,[.,.]]]],[.,.]],.],.]
[2,4,3,1,6,5,7,8]=>[4,3,2,1,6,5,7,8]=>[5,6,7,8,3,4,2,1]=>[[[[.,[.,[.,[.,.]]]],[.,.]],.],.]
[3,2,4,1,6,5,7,8]=>[4,2,3,1,6,5,7,8]=>[5,7,6,8,3,4,2,1]=>[[[[.,[[.,.],[.,.]]],[.,.]],.],.]
[2,3,4,1,6,5,7,8]=>[4,2,3,1,6,5,7,8]=>[5,7,6,8,3,4,2,1]=>[[[[.,[[.,.],[.,.]]],[.,.]],.],.]
[2,1,4,3,6,5,7,8]=>[2,1,4,3,6,5,7,8]=>[7,8,5,6,3,4,2,1]=>[[[[[.,[.,.]],[.,.]],[.,.]],.],.]
[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]=>[8,6,7,5,3,4,2,1]=>[[[[[[.,.],[.,.]],.],[.,.]],.],.]
[2,1,3,4,6,5,7,8]=>[2,1,3,4,6,5,7,8]=>[7,8,6,5,3,4,2,1]=>[[[[[[.,[.,.]],.],.],[.,.]],.],.]
[1,2,3,4,6,5,7,8]=>[1,2,3,4,6,5,7,8]=>[8,7,6,5,3,4,2,1]=>[[[[[[[.,.],.],.],.],[.,.]],.],.]
[3,5,4,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[4,5,6,7,8,3,2,1]=>[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]
[2,5,4,3,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[4,5,6,7,8,3,2,1]=>[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]
[2,4,5,3,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[4,5,6,7,8,3,2,1]=>[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]
[3,2,5,4,1,6,7,8]=>[5,2,4,3,1,6,7,8]=>[4,7,5,6,8,3,2,1]=>[[[[.,[[.,.],[.,[.,.]]]],.],.],.]
[2,3,5,4,1,6,7,8]=>[5,2,4,3,1,6,7,8]=>[4,7,5,6,8,3,2,1]=>[[[[.,[[.,.],[.,[.,.]]]],.],.],.]
[2,4,3,5,1,6,7,8]=>[5,3,2,4,1,6,7,8]=>[4,6,7,5,8,3,2,1]=>[[[[.,[[.,[.,.]],[.,.]]],.],.],.]
[1,5,4,3,2,6,7,8]=>[1,5,4,3,2,6,7,8]=>[8,4,5,6,7,3,2,1]=>[[[[[.,.],[.,[.,[.,.]]]],.],.],.]
[1,4,5,3,2,6,7,8]=>[1,5,4,3,2,6,7,8]=>[8,4,5,6,7,3,2,1]=>[[[[[.,.],[.,[.,[.,.]]]],.],.],.]
[1,3,5,4,2,6,7,8]=>[1,5,4,3,2,6,7,8]=>[8,4,5,6,7,3,2,1]=>[[[[[.,.],[.,[.,[.,.]]]],.],.],.]
[1,2,5,4,3,6,7,8]=>[1,2,5,4,3,6,7,8]=>[8,7,4,5,6,3,2,1]=>[[[[[[.,.],.],[.,[.,.]]],.],.],.]
[1,2,4,5,3,6,7,8]=>[1,2,5,4,3,6,7,8]=>[8,7,4,5,6,3,2,1]=>[[[[[[.,.],.],[.,[.,.]]],.],.],.]
[1,3,2,5,4,6,7,8]=>[1,3,2,5,4,6,7,8]=>[8,6,7,4,5,3,2,1]=>[[[[[[.,.],[.,.]],[.,.]],.],.],.]
[2,1,3,5,4,6,7,8]=>[2,1,3,5,4,6,7,8]=>[7,8,6,4,5,3,2,1]=>[[[[[[.,[.,.]],.],[.,.]],.],.],.]
[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7,8]=>[8,7,6,4,5,3,2,1]=>[[[[[[[.,.],.],.],[.,.]],.],.],.]
[2,4,3,1,5,6,7,8]=>[4,3,2,1,5,6,7,8]=>[5,6,7,8,4,3,2,1]=>[[[[[.,[.,[.,[.,.]]]],.],.],.],.]
[1,4,3,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>[8,5,6,7,4,3,2,1]=>[[[[[[.,.],[.,[.,.]]],.],.],.],.]
[1,3,4,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>[8,5,6,7,4,3,2,1]=>[[[[[[.,.],[.,[.,.]]],.],.],.],.]
[2,1,4,3,5,6,7,8]=>[2,1,4,3,5,6,7,8]=>[7,8,5,6,4,3,2,1]=>[[[[[[.,[.,.]],[.,.]],.],.],.],.]
[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[8,7,5,6,4,3,2,1]=>[[[[[[[.,.],.],[.,.]],.],.],.],.]
[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[8,6,7,5,4,3,2,1]=>[[[[[[[.,.],[.,.]],.],.],.],.],.]
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[1,2,3,7,5,6,4,8]=>[1,2,3,7,6,5,4,8]=>[8,7,6,2,3,4,5,1]=>[[[[[.,.],.],.],[.,[.,[.,.]]]],.]
[1,2,3,7,5,6,8,4]=>[1,2,3,8,6,5,7,4]=>[8,7,6,1,3,4,2,5]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]
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[1,2,4,3,8,6,7,5]=>[1,2,4,3,8,7,6,5]=>[8,7,5,6,1,2,3,4]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]
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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]=>[8,7,1,4,5,3,2,6]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]
[1,2,7,4,5,6,8,3]=>[1,2,8,6,5,4,7,3]=>[8,7,1,3,4,5,2,6]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]
[1,2,8,4,5,6,7,3]=>[1,2,8,7,5,6,4,3]=>[8,7,1,2,4,3,5,6]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[1,2,8,4,6,7,5,3]=>[1,2,8,7,6,5,4,3]=>[8,7,1,2,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
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[1,2,7,5,4,6,3,8]=>[1,2,7,6,5,4,3,8]=>[8,7,2,3,4,5,6,1]=>[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]
[1,2,7,5,4,6,8,3]=>[1,2,8,6,5,4,7,3]=>[8,7,1,3,4,5,2,6]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]
[1,2,8,5,4,6,7,3]=>[1,2,8,7,5,6,4,3]=>[8,7,1,2,4,3,5,6]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[1,2,8,5,4,7,6,3]=>[1,2,8,7,5,6,4,3]=>[8,7,1,2,4,3,5,6]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[1,2,8,5,6,4,7,3]=>[1,2,8,7,6,5,4,3]=>[8,7,1,2,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,2,8,5,6,7,4,3]=>[1,2,8,7,6,5,4,3]=>[8,7,1,2,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,2,8,6,5,4,7,3]=>[1,2,8,7,6,5,4,3]=>[8,7,1,2,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,2,8,6,5,7,4,3]=>[1,2,8,7,6,5,4,3]=>[8,7,1,2,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,2,8,7,5,6,4,3]=>[1,2,8,7,6,5,4,3]=>[8,7,1,2,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,3,2,4,8,6,7,5]=>[1,3,2,4,8,7,6,5]=>[8,6,7,5,1,2,3,4]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]
[1,3,2,7,5,6,8,4]=>[1,3,2,8,6,5,7,4]=>[8,6,7,1,3,4,2,5]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[1,3,2,8,5,7,6,4]=>[1,3,2,8,7,6,5,4]=>[8,6,7,1,2,3,4,5]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]
[1,3,2,8,6,5,7,4]=>[1,3,2,8,7,6,5,4]=>[8,6,7,1,2,3,4,5]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]
[1,3,2,8,6,7,5,4]=>[1,3,2,8,7,6,5,4]=>[8,6,7,1,2,3,4,5]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]
[1,3,4,2,8,6,7,5]=>[1,4,3,2,8,7,6,5]=>[8,5,6,7,1,2,3,4]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]
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[1,3,4,8,5,6,7,2]=>[1,8,3,7,5,6,4,2]=>[8,1,6,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,3,4,8,6,5,7,2]=>[1,8,3,7,6,5,4,2]=>[8,1,6,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
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[1,3,6,4,5,2,8,7]=>[1,6,5,4,3,2,8,7]=>[8,3,4,5,6,7,1,2]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]
[1,3,6,4,5,7,8,2]=>[1,8,5,4,3,6,7,2]=>[8,1,4,5,6,3,2,7]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[1,3,6,4,5,8,7,2]=>[1,8,5,4,3,7,6,2]=>[8,1,4,5,6,2,3,7]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[1,3,7,4,5,6,2,8]=>[1,7,6,4,5,3,2,8]=>[8,2,3,5,4,6,7,1]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[1,3,7,4,5,6,8,2]=>[1,8,6,4,5,3,7,2]=>[8,1,3,5,4,6,2,7]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[1,3,8,4,5,6,7,2]=>[1,8,7,4,5,6,3,2]=>[8,1,2,5,4,3,6,7]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[1,3,8,4,6,5,7,2]=>[1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,3,8,4,6,7,5,2]=>[1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,3,8,5,4,6,7,2]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,3,8,5,4,7,6,2]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,3,8,5,6,7,4,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,3,8,5,7,6,4,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,3,8,6,5,7,4,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,3,8,7,5,6,4,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,4,3,2,8,6,7,5]=>[1,4,3,2,8,7,6,5]=>[8,5,6,7,1,2,3,4]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]
[1,4,3,5,8,6,7,2]=>[1,8,3,4,7,6,5,2]=>[8,1,6,5,2,3,4,7]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[1,4,3,8,5,6,7,2]=>[1,8,3,7,5,6,4,2]=>[8,1,6,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,4,3,8,5,7,6,2]=>[1,8,3,7,5,6,4,2]=>[8,1,6,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,4,3,8,6,5,7,2]=>[1,8,3,7,6,5,4,2]=>[8,1,6,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,4,3,8,6,7,5,2]=>[1,8,3,7,6,5,4,2]=>[8,1,6,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,5,3,4,2,6,7,8]=>[1,5,4,3,2,6,7,8]=>[8,4,5,6,7,3,2,1]=>[[[[[.,.],[.,[.,[.,.]]]],.],.],.]
[1,5,3,4,2,7,8,6]=>[1,5,4,3,2,8,7,6]=>[8,4,5,6,7,1,2,3]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]
[1,5,3,4,2,8,7,6]=>[1,5,4,3,2,8,7,6]=>[8,4,5,6,7,1,2,3]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]
[1,5,3,4,6,2,7,8]=>[1,6,4,3,5,2,7,8]=>[8,3,5,6,4,7,2,1]=>[[[[.,.],[[.,[.,.]],[.,.]]],.],.]
[1,5,3,4,6,7,8,2]=>[1,8,4,3,5,6,7,2]=>[8,1,5,6,4,3,2,7]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]
[1,6,3,4,5,2,7,8]=>[1,6,5,4,3,2,7,8]=>[8,3,4,5,6,7,2,1]=>[[[[.,.],[.,[.,[.,[.,.]]]]],.],.]
[1,6,3,4,5,8,7,2]=>[1,8,5,4,3,7,6,2]=>[8,1,4,5,6,2,3,7]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[1,7,3,4,5,6,2,8]=>[1,7,6,4,5,3,2,8]=>[8,2,3,5,4,6,7,1]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[1,7,3,4,5,6,8,2]=>[1,8,6,4,5,3,7,2]=>[8,1,3,5,4,6,2,7]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[1,8,3,4,5,6,7,2]=>[1,8,7,4,5,6,3,2]=>[8,1,2,5,4,3,6,7]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[1,8,3,4,6,7,5,2]=>[1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,8,3,4,7,6,5,2]=>[1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,6,3,5,4,2,7,8]=>[1,6,5,4,3,2,7,8]=>[8,3,4,5,6,7,2,1]=>[[[[.,.],[.,[.,[.,[.,.]]]]],.],.]
[1,6,3,5,4,8,7,2]=>[1,8,5,4,3,7,6,2]=>[8,1,4,5,6,2,3,7]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[1,7,3,5,4,6,2,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[1,8,3,5,4,6,7,2]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,8,3,5,4,7,6,2]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,8,3,5,6,4,7,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,3,5,6,7,4,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,3,5,7,6,4,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,7,3,6,5,4,2,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[1,8,3,6,5,4,7,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,3,7,5,6,4,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,6,4,3,5,2,7,8]=>[1,6,5,4,3,2,7,8]=>[8,3,4,5,6,7,2,1]=>[[[[.,.],[.,[.,[.,[.,.]]]]],.],.]
[1,6,4,3,5,8,7,2]=>[1,8,5,4,3,7,6,2]=>[8,1,4,5,6,2,3,7]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[1,8,4,3,5,6,7,2]=>[1,8,7,4,5,6,3,2]=>[8,1,2,5,4,3,6,7]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[1,8,4,3,5,7,6,2]=>[1,8,7,4,5,6,3,2]=>[8,1,2,5,4,3,6,7]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[1,7,4,3,6,5,8,2]=>[1,8,6,4,5,3,7,2]=>[8,1,3,5,4,6,2,7]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[1,8,4,3,6,5,7,2]=>[1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,8,4,3,6,7,5,2]=>[1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,6,4,5,3,2,7,8]=>[1,6,5,4,3,2,7,8]=>[8,3,4,5,6,7,2,1]=>[[[[.,.],[.,[.,[.,[.,.]]]]],.],.]
[1,6,4,5,3,2,8,7]=>[1,6,5,4,3,2,8,7]=>[8,3,4,5,6,7,1,2]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]
[1,6,4,5,3,8,7,2]=>[1,8,5,4,3,7,6,2]=>[8,1,4,5,6,2,3,7]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[1,8,4,5,3,6,7,2]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,7,4,5,6,3,2,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[1,8,4,5,6,3,7,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,4,5,6,7,3,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,7,4,6,5,3,2,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[1,8,4,6,5,3,7,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,4,6,5,7,3,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,4,7,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,7,5,4,3,6,2,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[1,8,5,4,3,6,7,2]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,8,5,4,3,7,6,2]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,8,5,4,6,3,7,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,5,4,6,7,3,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,5,4,7,6,3,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,7,6,4,5,3,2,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[1,8,6,4,5,3,7,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,6,4,5,7,3,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,6,5,4,3,7,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,6,5,4,7,3,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,7,5,6,4,3,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,1,3,4,8,6,7,5]=>[2,1,3,4,8,7,6,5]=>[7,8,6,5,1,2,3,4]=>[[[[.,[.,.]],.],.],[.,[.,[.,.]]]]
[2,1,3,5,8,6,7,4]=>[2,1,3,8,7,6,5,4]=>[7,8,6,1,2,3,4,5]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]
[2,1,3,8,5,6,7,4]=>[2,1,3,8,7,6,5,4]=>[7,8,6,1,2,3,4,5]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]
[2,1,3,8,5,7,6,4]=>[2,1,3,8,7,6,5,4]=>[7,8,6,1,2,3,4,5]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]
[2,1,3,8,6,5,7,4]=>[2,1,3,8,7,6,5,4]=>[7,8,6,1,2,3,4,5]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]
[2,1,3,8,6,7,5,4]=>[2,1,3,8,7,6,5,4]=>[7,8,6,1,2,3,4,5]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]
[2,1,4,3,8,6,7,5]=>[2,1,4,3,8,7,6,5]=>[7,8,5,6,1,2,3,4]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]
[2,1,4,8,6,5,7,3]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,4,8,6,7,5,3]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,6,4,5,3,8,7]=>[2,1,6,5,4,3,8,7]=>[7,8,3,4,5,6,1,2]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]
[2,1,6,4,5,7,8,3]=>[2,1,8,5,4,6,7,3]=>[7,8,1,4,5,3,2,6]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[2,1,6,4,5,8,7,3]=>[2,1,8,5,4,7,6,3]=>[7,8,1,4,5,2,3,6]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[2,1,7,4,6,5,8,3]=>[2,1,8,6,5,4,7,3]=>[7,8,1,3,4,5,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[2,1,8,4,6,5,7,3]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,8,4,6,7,5,3]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,8,4,7,6,5,3]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,7,5,4,6,8,3]=>[2,1,8,6,5,4,7,3]=>[7,8,1,3,4,5,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[2,1,7,5,6,4,8,3]=>[2,1,8,6,5,4,7,3]=>[7,8,1,3,4,5,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[2,1,8,5,6,4,7,3]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,8,5,6,7,4,3]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,8,5,7,6,4,3]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,8,6,5,4,7,3]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,8,6,5,7,4,3]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,3,1,5,8,6,7,4]=>[3,2,1,8,7,6,5,4]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[2,3,1,7,5,6,4,8]=>[3,2,1,7,6,5,4,8]=>[6,7,8,2,3,4,5,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[2,3,1,8,5,6,7,4]=>[3,2,1,8,7,6,5,4]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[2,3,1,8,6,7,5,4]=>[3,2,1,8,7,6,5,4]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[2,3,4,1,8,6,7,5]=>[4,2,3,1,8,7,6,5]=>[5,7,6,8,1,2,3,4]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]
[2,3,4,7,5,6,1,8]=>[7,2,3,6,5,4,1,8]=>[2,7,6,3,4,5,8,1]=>[[.,[[[.,.],.],[.,[.,[.,.]]]]],.]
[2,3,4,7,5,6,8,1]=>[8,2,3,6,5,4,7,1]=>[1,7,6,3,4,5,2,8]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[2,3,4,8,5,6,7,1]=>[8,2,3,7,5,6,4,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[2,3,4,8,5,7,6,1]=>[8,2,3,7,5,6,4,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
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[2,3,5,4,8,6,7,1]=>[8,2,4,3,7,6,5,1]=>[1,7,5,6,2,3,4,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
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[2,3,8,6,5,4,7,1]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,4,3,1,8,6,7,5]=>[4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
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[2,4,3,8,6,7,5,1]=>[8,3,2,7,6,5,4,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[2,5,3,4,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[4,5,6,7,8,3,2,1]=>[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]
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[2,5,3,4,6,7,1,8]=>[7,4,3,2,5,6,1,8]=>[2,5,6,7,4,3,8,1]=>[[.,[[[.,[.,[.,.]]],.],[.,.]]],.]
[2,5,3,4,6,7,8,1]=>[8,4,3,2,5,6,7,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,[.,[.,.]]],.],.],[.,.]]]
[2,5,3,4,6,8,7,1]=>[8,4,3,2,5,7,6,1]=>[1,5,6,7,4,2,3,8]=>[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]
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[2,5,3,4,8,7,6,1]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
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[2,7,3,4,5,6,1,8]=>[7,6,3,4,5,2,1,8]=>[2,3,6,5,4,7,8,1]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
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[2,6,3,5,4,8,7,1]=>[8,5,3,4,2,7,6,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[2,8,3,5,6,7,4,1]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,8,3,5,7,6,4,1]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,7,3,6,5,4,1,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
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[2,8,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,5,4,3,8,6,7,1]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[2,6,4,3,5,1,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[2,6,4,3,5,8,7,1]=>[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[2,7,4,3,5,6,8,1]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[2,7,4,3,6,5,8,1]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[2,8,4,3,6,5,7,1]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[2,8,4,3,6,7,5,1]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
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[2,6,4,5,3,1,7,8]=>[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[2,6,4,5,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[2,6,4,5,3,8,7,1]=>[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[2,8,4,5,3,6,7,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,7,4,5,6,3,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
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[2,8,4,6,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
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[2,8,5,4,3,7,6,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,7,5,4,6,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
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[2,7,6,4,5,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
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[3,2,1,4,8,6,7,5]=>[3,2,1,4,8,7,6,5]=>[6,7,8,5,1,2,3,4]=>[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]
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[3,2,1,7,5,6,4,8]=>[3,2,1,7,6,5,4,8]=>[6,7,8,2,3,4,5,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
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[3,2,4,1,8,6,7,5]=>[4,2,3,1,8,7,6,5]=>[5,7,6,8,1,2,3,4]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]
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[3,2,6,4,5,1,8,7]=>[6,2,5,4,3,1,8,7]=>[3,7,4,5,6,8,1,2]=>[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]
[3,2,6,4,5,7,1,8]=>[7,2,5,4,3,6,1,8]=>[2,7,4,5,6,3,8,1]=>[[.,[[[.,.],[.,[.,.]]],[.,.]]],.]
[3,2,7,4,5,6,1,8]=>[7,2,6,4,5,3,1,8]=>[2,7,3,5,4,6,8,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[3,2,8,4,5,6,7,1]=>[8,2,7,4,5,6,3,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[3,2,7,4,6,5,1,8]=>[7,2,6,4,5,3,1,8]=>[2,7,3,5,4,6,8,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
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[3,2,8,5,7,6,4,1]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
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[4,2,3,1,5,7,6,8]=>[4,3,2,1,5,7,6,8]=>[5,6,7,8,4,2,3,1]=>[[[[.,[.,[.,[.,.]]]],.],[.,.]],.]
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[4,2,3,1,5,8,7,6]=>[4,3,2,1,5,8,7,6]=>[5,6,7,8,4,1,2,3]=>[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]]
[4,2,3,1,6,5,7,8]=>[4,3,2,1,6,5,7,8]=>[5,6,7,8,3,4,2,1]=>[[[[.,[.,[.,[.,.]]]],[.,.]],.],.]
[4,2,3,1,6,5,8,7]=>[4,3,2,1,6,5,8,7]=>[5,6,7,8,3,4,1,2]=>[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]
[4,2,3,1,6,7,8,5]=>[4,3,2,1,8,6,7,5]=>[5,6,7,8,1,3,2,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[4,2,3,1,6,8,7,5]=>[4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[4,2,3,1,7,6,5,8]=>[4,3,2,1,7,6,5,8]=>[5,6,7,8,2,3,4,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[4,2,3,1,7,6,8,5]=>[4,3,2,1,8,6,7,5]=>[5,6,7,8,1,3,2,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[4,2,3,1,8,6,7,5]=>[4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[4,2,3,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[4,2,3,5,1,6,8,7]=>[5,3,2,4,1,6,8,7]=>[4,6,7,5,8,3,1,2]=>[[[.,[[.,[.,.]],[.,.]]],.],[.,.]]
[4,2,3,5,1,7,8,6]=>[5,3,2,4,1,8,7,6]=>[4,6,7,5,8,1,2,3]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]
[4,2,3,5,1,8,7,6]=>[5,3,2,4,1,8,7,6]=>[4,6,7,5,8,1,2,3]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]
[4,2,3,5,6,1,8,7]=>[6,3,2,4,5,1,8,7]=>[3,6,7,5,4,8,1,2]=>[[.,[[[.,[.,.]],.],[.,.]]],[.,.]]
[4,2,3,5,7,6,1,8]=>[7,3,2,4,6,5,1,8]=>[2,6,7,5,3,4,8,1]=>[[.,[[[.,[.,.]],.],[.,[.,.]]]],.]
[4,2,3,6,5,1,7,8]=>[6,3,2,5,4,1,7,8]=>[3,6,7,4,5,8,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[4,2,3,6,5,1,8,7]=>[6,3,2,5,4,1,8,7]=>[3,6,7,4,5,8,1,2]=>[[.,[[.,[.,.]],[.,[.,.]]]],[.,.]]
[4,2,3,6,5,8,7,1]=>[8,3,2,5,4,7,6,1]=>[1,6,7,4,5,2,3,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[4,2,3,8,6,7,5,1]=>[8,3,2,7,6,5,4,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[4,2,3,8,7,6,5,1]=>[8,3,2,7,6,5,4,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[5,2,3,4,1,6,8,7]=>[5,4,3,2,1,6,8,7]=>[4,5,6,7,8,3,1,2]=>[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]]
[5,2,3,4,1,7,8,6]=>[5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[5,2,3,4,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[5,2,3,4,8,6,7,1]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[5,2,3,4,8,7,6,1]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[6,2,3,4,5,8,7,1]=>[8,5,3,4,2,7,6,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[8,2,3,4,5,7,6,1]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[7,2,3,4,6,5,1,8]=>[7,6,3,4,5,2,1,8]=>[2,3,6,5,4,7,8,1]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[6,2,3,5,4,1,7,8]=>[6,5,3,4,2,1,7,8]=>[3,4,6,5,7,8,2,1]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[6,2,3,5,4,7,1,8]=>[7,5,3,4,2,6,1,8]=>[2,4,6,5,7,3,8,1]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[7,2,3,5,4,6,1,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[7,2,3,5,6,4,1,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[8,2,3,5,6,7,4,1]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,2,3,5,7,6,4,1]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,2,3,6,5,4,1,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[8,2,3,6,5,4,7,1]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,2,3,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,2,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,2,4,3,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[4,5,6,7,8,3,2,1]=>[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]
[5,2,4,3,1,6,8,7]=>[5,4,3,2,1,6,8,7]=>[4,5,6,7,8,3,1,2]=>[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]]
[5,2,4,3,1,7,6,8]=>[5,4,3,2,1,7,6,8]=>[4,5,6,7,8,2,3,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[5,2,4,3,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[5,2,4,3,6,1,7,8]=>[6,4,3,2,5,1,7,8]=>[3,5,6,7,4,8,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[5,2,4,3,6,7,1,8]=>[7,4,3,2,5,6,1,8]=>[2,5,6,7,4,3,8,1]=>[[.,[[[.,[.,[.,.]]],.],[.,.]]],.]
[5,2,4,3,7,6,8,1]=>[8,4,3,2,6,5,7,1]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[5,2,4,3,8,7,6,1]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[6,2,4,3,5,1,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[7,2,4,3,6,5,1,8]=>[7,6,4,3,5,2,1,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[7,2,4,3,6,5,8,1]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[8,2,4,3,6,5,7,1]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[8,2,4,3,6,7,5,1]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[8,2,4,3,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[6,2,4,5,3,1,7,8]=>[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[6,2,4,5,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[6,2,4,5,3,8,7,1]=>[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[7,2,4,5,3,6,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,2,4,5,3,6,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,2,4,5,3,7,6,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,2,4,5,6,3,7,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,2,4,5,6,7,3,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,2,4,5,7,6,3,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,2,4,6,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,2,4,6,5,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,2,4,7,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,2,4,7,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,2,5,4,3,1,7,8]=>[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[6,2,5,4,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[6,2,5,4,3,7,1,8]=>[7,5,4,3,2,6,1,8]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[7,2,5,4,3,6,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,2,5,4,3,6,7,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,2,5,4,3,7,6,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,2,5,4,6,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,2,5,4,7,6,3,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,2,6,4,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,2,6,4,5,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,2,6,4,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,2,6,4,5,7,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,2,7,4,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,2,6,5,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,2,6,5,4,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,2,6,5,4,3,7,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,2,6,5,4,7,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,2,7,5,6,4,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,3,2,1,8,6,7,5]=>[4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[4,3,2,8,6,7,5,1]=>[8,3,2,7,6,5,4,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[5,3,2,4,1,6,8,7]=>[5,4,3,2,1,6,8,7]=>[4,5,6,7,8,3,1,2]=>[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]]
[5,3,2,4,1,7,6,8]=>[5,4,3,2,1,7,6,8]=>[4,5,6,7,8,2,3,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[5,3,2,4,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[6,3,2,5,4,1,7,8]=>[6,5,3,4,2,1,7,8]=>[3,4,6,5,7,8,2,1]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[6,3,2,5,4,7,1,8]=>[7,5,3,4,2,6,1,8]=>[2,4,6,5,7,3,8,1]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[6,3,2,5,4,8,7,1]=>[8,5,3,4,2,7,6,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[7,3,2,5,4,6,1,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[8,3,2,5,6,4,7,1]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,3,2,5,6,7,4,1]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,3,2,5,7,6,4,1]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,3,2,6,5,7,4,1]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,3,2,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,3,4,2,1,6,8,7]=>[5,4,3,2,1,6,8,7]=>[4,5,6,7,8,3,1,2]=>[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]]
[5,3,4,2,1,7,8,6]=>[5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[5,3,4,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[5,3,4,2,7,6,8,1]=>[8,4,3,2,6,5,7,1]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[5,3,4,2,8,6,7,1]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[6,3,4,2,5,1,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[7,3,4,2,6,5,1,8]=>[7,6,4,3,5,2,1,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[7,3,4,2,6,5,8,1]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[8,3,4,2,6,5,7,1]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[6,3,4,5,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[6,3,4,5,2,8,7,1]=>[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[8,3,4,5,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,3,4,5,7,6,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,3,4,6,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,3,4,7,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,3,5,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[6,3,5,4,2,7,1,8]=>[7,5,4,3,2,6,1,8]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[6,3,5,4,2,8,7,1]=>[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[7,3,5,4,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,3,5,4,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,3,5,4,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,3,5,4,6,2,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,3,5,4,6,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,3,5,4,6,7,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,3,5,4,7,6,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,3,6,4,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,3,6,4,5,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,3,6,4,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,3,6,4,5,7,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,3,7,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,3,7,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,3,6,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,3,6,5,4,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,3,6,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,3,6,5,4,7,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,3,7,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,3,7,5,6,4,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,3,7,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,4,3,2,8,6,7,1]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[6,4,3,2,5,1,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[6,4,3,2,5,8,7,1]=>[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[7,4,3,2,6,5,1,8]=>[7,6,4,3,5,2,1,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[7,4,3,2,6,5,8,1]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[8,4,3,2,6,5,7,1]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[8,4,3,2,6,7,5,1]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[6,4,3,5,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[8,4,3,5,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,4,3,5,7,6,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,4,3,6,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,4,3,6,5,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,4,3,7,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,3,7,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,5,3,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[8,5,3,4,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,5,3,4,7,6,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,6,3,5,4,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,3,5,4,7,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,3,5,6,4,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,5,4,3,7,6,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,4,6,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,4,1,3,6,5,8,7]=>[3,4,1,2,6,5,8,7]=>[6,5,8,7,3,4,1,2]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]
[2,1,4,6,3,5,8,7]=>[2,1,5,6,3,4,8,7]=>[7,8,4,3,6,5,1,2]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]
[2,4,1,6,3,5,8,7]=>[3,5,1,6,2,4,8,7]=>[6,4,8,3,7,5,1,2]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]
[2,4,6,1,3,5,8,7]=>[4,5,6,1,2,3,8,7]=>[5,4,3,8,7,6,1,2]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]
[2,1,4,3,6,8,5,7]=>[2,1,4,3,7,8,5,6]=>[7,8,5,6,2,1,4,3]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]
[2,4,1,3,6,8,5,7]=>[3,4,1,2,7,8,5,6]=>[6,5,8,7,2,1,4,3]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]
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[2,4,1,6,3,8,5,7]=>[3,5,1,7,2,8,4,6]=>[6,4,8,2,7,1,5,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]
[2,4,6,1,3,8,5,7]=>[4,5,7,1,2,8,3,6]=>[5,4,2,8,7,1,6,3]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]
[2,1,4,6,8,3,5,7]=>[2,1,6,7,8,3,4,5]=>[7,8,3,2,1,6,5,4]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]
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[2,1,4,6,3,5,7,8]=>[2,1,5,6,3,4,7,8]=>[7,8,4,3,6,5,2,1]=>[[[[[.,[.,.]],.],[[.,.],.]],.],.]
[2,4,1,6,3,5,7,8]=>[3,5,1,6,2,4,7,8]=>[6,4,8,3,7,5,2,1]=>[[[[[.,.],[.,.]],[[.,.],.]],.],.]
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[2,4,6,1,7,8,3,5]=>[4,7,8,1,5,6,2,3]=>[5,2,1,8,4,3,7,6]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]
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[2,4,1,3,7,5,8,6]=>[3,4,1,2,8,6,7,5]=>[6,5,8,7,1,3,2,4]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]
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[2,4,5,1,7,3,6,8]=>[4,6,3,1,7,2,5,8]=>[5,3,6,8,2,7,4,1]=>[[[[.,.],[.,[.,.]]],[[.,.],.]],.]
[2,4,1,3,5,7,8,6]=>[3,4,1,2,5,8,7,6]=>[6,5,8,7,4,1,2,3]=>[[[[.,.],[[.,.],.]],.],[.,[.,.]]]
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[2,4,5,1,7,3,8,6]=>[4,6,3,1,8,2,7,5]=>[5,3,6,8,1,7,2,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[2,4,5,7,1,3,8,6]=>[5,6,3,8,1,2,7,4]=>[4,3,6,1,8,7,2,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[2,4,5,1,7,8,3,6]=>[4,7,3,1,8,6,2,5]=>[5,2,6,8,1,3,7,4]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]
[2,4,5,7,1,8,3,6]=>[5,7,3,8,1,6,2,4]=>[4,2,6,1,8,3,7,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[2,4,5,7,8,1,3,6]=>[6,7,3,8,5,1,2,4]=>[3,2,6,1,4,8,7,5]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]
[2,1,4,3,8,5,6,7]=>[2,1,4,3,8,6,7,5]=>[7,8,5,6,1,3,2,4]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[2,4,1,3,8,5,6,7]=>[3,4,1,2,8,6,7,5]=>[6,5,8,7,1,3,2,4]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]
[2,1,4,8,3,5,6,7]=>[2,1,5,8,3,6,7,4]=>[7,8,4,1,6,3,2,5]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]
[2,4,1,8,3,5,6,7]=>[3,5,1,8,2,6,7,4]=>[6,4,8,1,7,3,2,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[2,4,8,1,3,5,6,7]=>[4,5,8,1,2,6,7,3]=>[5,4,1,8,7,3,2,6]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]
[2,1,4,3,5,8,6,7]=>[2,1,4,3,5,8,7,6]=>[7,8,5,6,4,1,2,3]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]
[2,4,1,5,3,8,6,7]=>[3,5,1,4,2,8,7,6]=>[6,4,8,5,7,1,2,3]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]
[2,4,5,1,8,3,6,7]=>[4,6,3,1,8,2,7,5]=>[5,3,6,8,1,7,2,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[2,4,5,8,1,3,6,7]=>[5,6,3,8,1,2,7,4]=>[4,3,6,1,8,7,2,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[2,4,1,5,3,6,8,7]=>[3,5,1,4,2,6,8,7]=>[6,4,8,5,7,3,1,2]=>[[[[.,.],[[.,.],[.,.]]],.],[.,.]]
[2,4,1,5,6,3,8,7]=>[3,6,1,4,5,2,8,7]=>[6,3,8,5,4,7,1,2]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]
[2,4,5,1,6,3,8,7]=>[4,6,3,1,5,2,8,7]=>[5,3,6,8,4,7,1,2]=>[[[.,.],[[.,[.,.]],[.,.]]],[.,.]]
[2,4,5,6,1,3,8,7]=>[5,6,3,4,1,2,8,7]=>[4,3,6,5,8,7,1,2]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]
[2,1,4,5,6,8,3,7]=>[2,1,7,4,5,8,3,6]=>[7,8,2,5,4,1,6,3]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]
[2,4,1,5,6,8,3,7]=>[3,7,1,4,5,8,2,6]=>[6,2,8,5,4,1,7,3]=>[[[.,.],[[[.,.],.],.]],[[.,.],.]]
[2,4,5,1,6,8,3,7]=>[4,7,3,1,5,8,2,6]=>[5,2,6,8,4,1,7,3]=>[[[.,.],[[.,[.,.]],.]],[[.,.],.]]
[2,4,5,6,1,8,3,7]=>[5,7,3,4,1,8,2,6]=>[4,2,6,5,8,1,7,3]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]
[2,4,5,6,8,1,3,7]=>[6,7,3,4,8,1,2,5]=>[3,2,6,5,1,8,7,4]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]
[2,4,1,3,5,6,7,8]=>[3,4,1,2,5,6,7,8]=>[6,5,8,7,4,3,2,1]=>[[[[[[.,.],[[.,.],.]],.],.],.],.]
[2,4,1,5,6,3,7,8]=>[3,6,1,4,5,2,7,8]=>[6,3,8,5,4,7,2,1]=>[[[[.,.],[[[.,.],.],[.,.]]],.],.]
[2,4,5,1,6,3,7,8]=>[4,6,3,1,5,2,7,8]=>[5,3,6,8,4,7,2,1]=>[[[[.,.],[[.,[.,.]],[.,.]]],.],.]
[2,4,5,6,1,3,7,8]=>[5,6,3,4,1,2,7,8]=>[4,3,6,5,8,7,2,1]=>[[[[.,.],[[.,.],[[.,.],.]]],.],.]
[2,4,5,1,6,7,3,8]=>[4,7,3,1,5,6,2,8]=>[5,2,6,8,4,3,7,1]=>[[[.,.],[[[.,[.,.]],.],[.,.]]],.]
[2,4,5,6,1,7,3,8]=>[5,7,3,4,1,6,2,8]=>[4,2,6,5,8,3,7,1]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[2,4,5,6,7,1,3,8]=>[6,7,3,4,5,1,2,8]=>[3,2,6,5,4,8,7,1]=>[[[.,.],[[[.,.],.],[[.,.],.]]],.]
[2,4,5,1,6,7,8,3]=>[4,8,3,1,5,6,7,2]=>[5,1,6,8,4,3,2,7]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]
[2,4,5,6,1,7,8,3]=>[5,8,3,4,1,6,7,2]=>[4,1,6,5,8,3,2,7]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]
[2,4,5,6,7,1,8,3]=>[6,8,3,4,5,1,7,2]=>[3,1,6,5,4,8,2,7]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]
[2,4,5,6,7,8,1,3]=>[7,8,3,4,5,6,1,2]=>[2,1,6,5,4,3,8,7]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]
[2,1,5,3,6,4,8,7]=>[2,1,6,4,5,3,8,7]=>[7,8,3,5,4,6,1,2]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]
[2,5,1,3,6,4,8,7]=>[3,6,1,4,5,2,8,7]=>[6,3,8,5,4,7,1,2]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]
[2,1,5,6,3,4,8,7]=>[2,1,6,5,4,3,8,7]=>[7,8,3,4,5,6,1,2]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]
[2,5,1,6,3,4,8,7]=>[3,6,1,5,4,2,8,7]=>[6,3,8,4,5,7,1,2]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]
[2,5,6,1,3,4,8,7]=>[4,6,5,1,3,2,8,7]=>[5,3,4,8,6,7,1,2]=>[[[.,.],[.,[[.,.],[.,.]]]],[.,.]]
[2,1,5,3,6,8,4,7]=>[2,1,7,4,5,8,3,6]=>[7,8,2,5,4,1,6,3]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]
[2,5,1,3,6,8,4,7]=>[3,7,1,4,5,8,2,6]=>[6,2,8,5,4,1,7,3]=>[[[.,.],[[[.,.],.],.]],[[.,.],.]]
[2,5,1,6,3,8,4,7]=>[3,7,1,5,4,8,2,6]=>[6,2,8,4,5,1,7,3]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]
[2,5,6,1,3,8,4,7]=>[4,7,5,1,3,8,2,6]=>[5,2,4,8,6,1,7,3]=>[[[.,.],[.,[[.,.],.]]],[[.,.],.]]
[2,1,5,6,8,3,4,7]=>[2,1,7,6,8,4,3,5]=>[7,8,2,3,1,5,6,4]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]
[2,5,1,6,8,3,4,7]=>[3,7,1,6,8,4,2,5]=>[6,2,8,3,1,5,7,4]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]]
[2,5,6,8,1,3,4,7]=>[5,7,6,8,1,3,2,4]=>[4,2,3,1,8,6,7,5]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]
[2,5,1,3,6,4,7,8]=>[3,6,1,4,5,2,7,8]=>[6,3,8,5,4,7,2,1]=>[[[[.,.],[[[.,.],.],[.,.]]],.],.]
[2,1,5,6,3,4,7,8]=>[2,1,6,5,4,3,7,8]=>[7,8,3,4,5,6,2,1]=>[[[[.,[.,.]],[.,[.,[.,.]]]],.],.]
[2,5,1,6,3,4,7,8]=>[3,6,1,5,4,2,7,8]=>[6,3,8,4,5,7,2,1]=>[[[[.,.],[[.,.],[.,[.,.]]]],.],.]
[2,1,5,3,6,7,4,8]=>[2,1,7,4,5,6,3,8]=>[7,8,2,5,4,3,6,1]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]
[2,5,1,6,3,7,4,8]=>[3,7,1,5,4,6,2,8]=>[6,2,8,4,5,3,7,1]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[2,1,5,6,7,3,4,8]=>[2,1,7,6,5,4,3,8]=>[7,8,2,3,4,5,6,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[2,5,6,1,7,3,4,8]=>[4,7,6,1,5,3,2,8]=>[5,2,3,8,4,6,7,1]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[2,1,5,6,3,7,8,4]=>[2,1,8,5,4,6,7,3]=>[7,8,1,4,5,3,2,6]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[2,5,1,6,3,7,8,4]=>[3,8,1,5,4,6,7,2]=>[6,1,8,4,5,3,2,7]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]
[2,5,6,1,3,7,8,4]=>[4,8,5,1,3,6,7,2]=>[5,1,4,8,6,3,2,7]=>[[.,.],[[[.,[[.,.],.]],.],[.,.]]]
[2,1,5,6,7,3,8,4]=>[2,1,8,6,5,4,7,3]=>[7,8,1,3,4,5,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[2,5,1,6,7,3,8,4]=>[3,8,1,6,5,4,7,2]=>[6,1,8,3,4,5,2,7]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[2,5,6,7,1,3,8,4]=>[5,8,6,4,1,3,7,2]=>[4,1,3,5,8,6,2,7]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]
[2,5,1,6,7,8,3,4]=>[3,8,1,7,5,6,4,2]=>[6,1,8,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[2,5,6,7,1,8,3,4]=>[5,8,7,4,1,6,3,2]=>[4,1,2,5,8,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[2,1,5,7,3,4,8,6]=>[2,1,6,8,5,3,7,4]=>[7,8,3,1,4,6,2,5]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]
[2,5,1,7,3,4,8,6]=>[3,6,1,8,5,2,7,4]=>[6,3,8,1,4,7,2,5]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[2,5,7,1,3,4,8,6]=>[4,6,8,1,5,2,7,3]=>[5,3,1,8,4,7,2,6]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]
[2,5,1,3,7,8,4,6]=>[3,7,1,4,8,6,2,5]=>[6,2,8,5,1,3,7,4]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]
[2,1,5,7,3,8,4,6]=>[2,1,7,8,5,6,3,4]=>[7,8,2,1,4,3,6,5]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]
[2,5,1,7,3,8,4,6]=>[3,7,1,8,5,6,2,4]=>[6,2,8,1,4,3,7,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[2,5,7,1,3,8,4,6]=>[4,7,8,1,5,6,2,3]=>[5,2,1,8,4,3,7,6]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]
[2,1,5,7,8,3,4,6]=>[2,1,7,8,6,5,3,4]=>[7,8,2,1,3,4,6,5]=>[[[.,[.,.]],.],[.,[.,[[.,.],.]]]]
[2,5,1,7,8,3,4,6]=>[3,7,1,8,6,5,2,4]=>[6,2,8,1,3,4,7,5]=>[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]
[2,5,7,1,8,3,4,6]=>[4,7,8,1,6,5,2,3]=>[5,2,1,8,3,4,7,6]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]
[2,5,7,8,1,3,4,6]=>[5,7,8,6,1,4,2,3]=>[4,2,1,3,8,5,7,6]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]]
[2,5,1,3,7,4,6,8]=>[3,6,1,4,7,2,5,8]=>[6,3,8,5,2,7,4,1]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]
[2,1,5,7,3,4,6,8]=>[2,1,6,7,5,3,4,8]=>[7,8,3,2,4,6,5,1]=>[[[[.,[.,.]],.],[.,[[.,.],.]]],.]
[2,3,5,7,1,4,6,8]=>[5,2,6,7,1,3,4,8]=>[4,7,3,2,8,6,5,1]=>[[[[.,[.,.]],.],[[[.,.],.],.]],.]
[2,3,5,1,7,4,8,6]=>[4,2,6,1,8,3,7,5]=>[5,7,3,8,1,6,2,4]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[2,3,5,7,1,4,8,6]=>[5,2,6,8,1,3,7,4]=>[4,7,3,1,8,6,2,5]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]
[2,3,5,7,1,8,4,6]=>[5,2,7,8,1,6,3,4]=>[4,7,2,1,8,3,6,5]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]
[2,3,5,7,8,1,4,6]=>[6,2,7,8,5,1,3,4]=>[3,7,2,1,4,8,6,5]=>[[[.,[.,.]],.],[.,[[[.,.],.],.]]]
[2,1,5,8,3,4,6,7]=>[2,1,6,8,5,3,7,4]=>[7,8,3,1,4,6,2,5]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]
[2,5,1,8,3,4,6,7]=>[3,6,1,8,5,2,7,4]=>[6,3,8,1,4,7,2,5]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[2,5,8,1,3,4,6,7]=>[4,6,8,1,5,2,7,3]=>[5,3,1,8,4,7,2,6]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]
[2,1,3,5,8,4,6,7]=>[2,1,3,6,8,4,7,5]=>[7,8,6,3,1,5,2,4]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]
[2,3,5,1,8,4,6,7]=>[4,2,6,1,8,3,7,5]=>[5,7,3,8,1,6,2,4]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[2,3,5,8,1,4,6,7]=>[5,2,6,8,1,3,7,4]=>[4,7,3,1,8,6,2,5]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]
[2,1,5,3,4,6,8,7]=>[2,1,5,4,3,6,8,7]=>[7,8,4,5,6,3,1,2]=>[[[[.,[.,.]],[.,[.,.]]],.],[.,.]]
[2,3,5,1,6,4,8,7]=>[4,2,6,1,5,3,8,7]=>[5,7,3,8,4,6,1,2]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]
[2,1,3,5,6,8,4,7]=>[2,1,3,7,5,8,4,6]=>[7,8,6,2,4,1,5,3]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]
[2,3,5,1,6,8,4,7]=>[4,2,7,1,5,8,3,6]=>[5,7,2,8,4,1,6,3]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]
[2,3,5,6,1,8,4,7]=>[5,2,7,4,1,8,3,6]=>[4,7,2,5,8,1,6,3]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]
[2,3,5,6,8,1,4,7]=>[6,2,7,4,8,1,3,5]=>[3,7,2,5,1,8,6,4]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]
[2,3,5,1,4,6,7,8]=>[4,2,5,1,3,6,7,8]=>[5,7,4,8,6,3,2,1]=>[[[[[.,[.,.]],[[.,.],.]],.],.],.]
[2,3,5,1,6,4,7,8]=>[4,2,6,1,5,3,7,8]=>[5,7,3,8,4,6,2,1]=>[[[[.,[.,.]],[[.,.],[.,.]]],.],.]
[2,3,5,6,1,4,7,8]=>[5,2,6,4,1,3,7,8]=>[4,7,3,5,8,6,2,1]=>[[[[.,[.,.]],[.,[[.,.],.]]],.],.]
[2,3,5,6,1,7,4,8]=>[5,2,7,4,1,6,3,8]=>[4,7,2,5,8,3,6,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[2,3,5,6,7,1,4,8]=>[6,2,7,4,5,1,3,8]=>[3,7,2,5,4,8,6,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[2,3,5,1,6,7,8,4]=>[4,2,8,1,5,6,7,3]=>[5,7,1,8,4,3,2,6]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]
[2,3,5,6,1,7,8,4]=>[5,2,8,4,1,6,7,3]=>[4,7,1,5,8,3,2,6]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[2,3,5,6,7,1,8,4]=>[6,2,8,4,5,1,7,3]=>[3,7,1,5,4,8,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[2,3,5,6,7,8,1,4]=>[7,2,8,4,5,6,1,3]=>[2,7,1,5,4,3,8,6]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[2,1,6,7,3,4,8,5]=>[2,1,8,6,5,4,7,3]=>[7,8,1,3,4,5,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[2,6,1,7,3,4,8,5]=>[3,8,1,6,5,4,7,2]=>[6,1,8,3,4,5,2,7]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[2,6,1,3,7,8,4,5]=>[3,8,1,4,7,6,5,2]=>[6,1,8,5,2,3,4,7]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[2,6,1,7,3,8,4,5]=>[3,8,1,7,5,6,4,2]=>[6,1,8,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[2,1,6,7,8,3,4,5]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,6,1,7,8,3,4,5]=>[3,8,1,7,6,5,4,2]=>[6,1,8,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[2,6,7,1,8,3,4,5]=>[4,8,7,1,6,5,3,2]=>[5,1,2,8,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[2,6,7,8,1,3,4,5]=>[5,8,7,6,1,4,3,2]=>[4,1,2,3,8,5,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[2,6,7,1,3,4,5,8]=>[4,7,6,1,5,3,2,8]=>[5,2,3,8,4,6,7,1]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[2,3,1,6,4,7,5,8]=>[3,2,1,7,5,6,4,8]=>[6,7,8,2,4,3,5,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[2,3,6,1,4,7,5,8]=>[4,2,7,1,5,6,3,8]=>[5,7,2,8,4,3,6,1]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]
[2,3,6,7,1,4,5,8]=>[5,2,7,6,1,4,3,8]=>[4,7,2,3,8,5,6,1]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[2,3,6,1,4,7,8,5]=>[4,2,8,1,5,6,7,3]=>[5,7,1,8,4,3,2,6]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]
[2,1,3,6,7,8,4,5]=>[2,1,3,8,7,6,5,4]=>[7,8,6,1,2,3,4,5]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]
[2,3,1,6,7,8,4,5]=>[3,2,1,8,7,6,5,4]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[2,3,6,1,7,8,4,5]=>[4,2,8,1,7,6,5,3]=>[5,7,1,8,2,3,4,6]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[2,3,6,7,1,8,4,5]=>[5,2,8,7,1,6,4,3]=>[4,7,1,2,8,3,5,6]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[2,3,6,7,8,1,4,5]=>[6,2,8,7,5,1,4,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[2,6,1,3,8,4,5,7]=>[3,7,1,4,8,6,2,5]=>[6,2,8,5,1,3,7,4]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]
[2,1,6,8,3,4,5,7]=>[2,1,7,8,5,6,3,4]=>[7,8,2,1,4,3,6,5]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]
[2,6,1,8,3,4,5,7]=>[3,7,1,8,5,6,2,4]=>[6,2,8,1,4,3,7,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[2,6,8,1,3,4,5,7]=>[4,7,8,1,5,6,2,3]=>[5,2,1,8,4,3,7,6]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]
[2,1,6,3,4,8,5,7]=>[2,1,7,4,5,8,3,6]=>[7,8,2,5,4,1,6,3]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]
[2,6,1,3,4,8,5,7]=>[3,7,1,4,5,8,2,6]=>[6,2,8,5,4,1,7,3]=>[[[.,.],[[[.,.],.],.]],[[.,.],.]]
[2,1,3,6,4,8,5,7]=>[2,1,3,7,5,8,4,6]=>[7,8,6,2,4,1,5,3]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]
[2,3,6,1,4,8,5,7]=>[4,2,7,1,5,8,3,6]=>[5,7,2,8,4,1,6,3]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]
[2,3,6,1,8,4,5,7]=>[4,2,7,1,8,6,3,5]=>[5,7,2,8,1,3,6,4]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]
[2,3,6,8,1,4,5,7]=>[5,2,7,8,1,6,3,4]=>[4,7,2,1,8,3,6,5]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]
[2,1,6,3,4,5,8,7]=>[2,1,6,4,5,3,8,7]=>[7,8,3,5,4,6,1,2]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]
[2,6,1,3,4,5,8,7]=>[3,6,1,4,5,2,8,7]=>[6,3,8,5,4,7,1,2]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]
[2,1,3,6,4,5,8,7]=>[2,1,3,6,5,4,8,7]=>[7,8,6,3,4,5,1,2]=>[[[[.,[.,.]],.],[.,[.,.]]],[.,.]]
[2,3,6,1,4,5,8,7]=>[4,2,6,1,5,3,8,7]=>[5,7,3,8,4,6,1,2]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]
[2,3,4,1,6,8,5,7]=>[4,2,3,1,7,8,5,6]=>[5,7,6,8,2,1,4,3]=>[[[.,[[.,.],[.,.]]],.],[[.,.],.]]
[2,3,4,6,1,8,5,7]=>[5,2,3,7,1,8,4,6]=>[4,7,6,2,8,1,5,3]=>[[[.,[[.,.],.]],[.,.]],[[.,.],.]]
[2,3,4,6,8,1,5,7]=>[6,2,3,7,8,1,4,5]=>[3,7,6,2,1,8,5,4]=>[[[.,[[.,.],.]],.],[[[.,.],.],.]]
[2,6,1,3,4,5,7,8]=>[3,6,1,4,5,2,7,8]=>[6,3,8,5,4,7,2,1]=>[[[[.,.],[[[.,.],.],[.,.]]],.],.]
[2,1,3,6,4,5,7,8]=>[2,1,3,6,5,4,7,8]=>[7,8,6,3,4,5,2,1]=>[[[[[.,[.,.]],.],[.,[.,.]]],.],.]
[2,3,1,6,4,5,7,8]=>[3,2,1,6,5,4,7,8]=>[6,7,8,3,4,5,2,1]=>[[[[.,[.,[.,.]]],[.,[.,.]]],.],.]
[2,3,6,1,4,5,7,8]=>[4,2,6,1,5,3,7,8]=>[5,7,3,8,4,6,2,1]=>[[[[.,[.,.]],[[.,.],[.,.]]],.],.]
[2,3,4,6,1,5,7,8]=>[5,2,3,6,1,4,7,8]=>[4,7,6,3,8,5,2,1]=>[[[[.,[[.,.],.]],[[.,.],.]],.],.]
[2,3,4,6,1,7,5,8]=>[5,2,3,7,1,6,4,8]=>[4,7,6,2,8,3,5,1]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]
[2,3,4,6,7,1,5,8]=>[6,2,3,7,5,1,4,8]=>[3,7,6,2,4,8,5,1]=>[[[.,[[.,.],.]],[.,[[.,.],.]]],.]
[2,3,4,6,1,7,8,5]=>[5,2,3,8,1,6,7,4]=>[4,7,6,1,8,3,2,5]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]
[2,3,4,6,7,8,1,5]=>[7,2,3,8,5,6,1,4]=>[2,7,6,1,4,3,8,5]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[2,7,1,3,8,4,5,6]=>[3,8,1,4,7,6,5,2]=>[6,1,8,5,2,3,4,7]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[2,7,1,8,3,4,5,6]=>[3,8,1,7,5,6,4,2]=>[6,1,8,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[2,1,7,3,4,8,5,6]=>[2,1,8,4,5,7,6,3]=>[7,8,1,5,4,2,3,6]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]
[2,1,3,7,4,8,5,6]=>[2,1,3,8,5,7,6,4]=>[7,8,6,1,4,2,3,5]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]
[2,3,1,7,4,8,5,6]=>[3,2,1,8,5,7,6,4]=>[6,7,8,1,4,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[2,1,3,7,8,4,5,6]=>[2,1,3,8,7,6,5,4]=>[7,8,6,1,2,3,4,5]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]
[2,3,1,7,8,4,5,6]=>[3,2,1,8,7,6,5,4]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[2,3,7,8,1,4,5,6]=>[5,2,8,7,1,6,4,3]=>[4,7,1,2,8,3,5,6]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[2,3,1,7,4,5,8,6]=>[3,2,1,8,5,6,7,4]=>[6,7,8,1,4,3,2,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[2,3,7,1,4,5,8,6]=>[4,2,8,1,5,6,7,3]=>[5,7,1,8,4,3,2,6]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]
[2,3,4,1,7,5,8,6]=>[4,2,3,1,8,6,7,5]=>[5,7,6,8,1,3,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[2,3,4,7,1,5,8,6]=>[5,2,3,8,1,6,7,4]=>[4,7,6,1,8,3,2,5]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]
[2,1,3,4,7,8,5,6]=>[2,1,3,4,8,7,6,5]=>[7,8,6,5,1,2,3,4]=>[[[[.,[.,.]],.],.],[.,[.,[.,.]]]]
[2,3,1,4,7,8,5,6]=>[3,2,1,4,8,7,6,5]=>[6,7,8,5,1,2,3,4]=>[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]
[2,3,4,1,7,8,5,6]=>[4,2,3,1,8,7,6,5]=>[5,7,6,8,1,2,3,4]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]
[2,3,4,7,1,8,5,6]=>[5,2,3,8,1,7,6,4]=>[4,7,6,1,8,2,3,5]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]
[2,3,4,7,8,1,5,6]=>[6,2,3,8,7,1,5,4]=>[3,7,6,1,2,8,4,5]=>[[.,[[.,.],.]],[.,[[.,.],[.,.]]]]
[2,1,7,3,4,5,6,8]=>[2,1,7,4,5,6,3,8]=>[7,8,2,5,4,3,6,1]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]
[2,3,7,1,4,5,6,8]=>[4,2,7,1,5,6,3,8]=>[5,7,2,8,4,3,6,1]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]
[2,3,1,4,7,5,6,8]=>[3,2,1,4,7,6,5,8]=>[6,7,8,5,2,3,4,1]=>[[[[.,[.,[.,.]]],.],[.,[.,.]]],.]
[2,3,4,1,7,5,6,8]=>[4,2,3,1,7,6,5,8]=>[5,7,6,8,2,3,4,1]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[2,3,4,7,1,5,6,8]=>[5,2,3,7,1,6,4,8]=>[4,7,6,2,8,3,5,1]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]
[2,3,4,5,7,1,8,6]=>[6,2,3,4,8,1,7,5]=>[3,7,6,5,1,8,2,4]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]
[2,3,4,5,7,8,1,6]=>[7,2,3,4,8,6,1,5]=>[2,7,6,5,1,3,8,4]=>[[.,[[[.,.],.],.]],[.,[[.,.],.]]]
[2,1,3,8,4,5,6,7]=>[2,1,3,8,5,6,7,4]=>[7,8,6,1,4,3,2,5]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]
[2,3,1,8,4,5,6,7]=>[3,2,1,8,5,6,7,4]=>[6,7,8,1,4,3,2,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[2,3,8,1,4,5,6,7]=>[4,2,8,1,5,6,7,3]=>[5,7,1,8,4,3,2,6]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]
[2,3,1,4,8,5,6,7]=>[3,2,1,4,8,6,7,5]=>[6,7,8,5,1,3,2,4]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]
[2,3,4,1,8,5,6,7]=>[4,2,3,1,8,6,7,5]=>[5,7,6,8,1,3,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[2,3,4,8,1,5,6,7]=>[5,2,3,8,1,6,7,4]=>[4,7,6,1,8,3,2,5]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]
[2,1,3,4,5,8,6,7]=>[2,1,3,4,5,8,7,6]=>[7,8,6,5,4,1,2,3]=>[[[[[.,[.,.]],.],.],.],[.,[.,.]]]
[2,3,1,4,5,8,6,7]=>[3,2,1,4,5,8,7,6]=>[6,7,8,5,4,1,2,3]=>[[[[.,[.,[.,.]]],.],.],[.,[.,.]]]
[2,3,4,1,5,8,6,7]=>[4,2,3,1,5,8,7,6]=>[5,7,6,8,4,1,2,3]=>[[[.,[[.,.],[.,.]]],.],[.,[.,.]]]
[2,3,4,5,1,8,6,7]=>[5,2,3,4,1,8,7,6]=>[4,7,6,5,8,1,2,3]=>[[.,[[[.,.],.],[.,.]]],[.,[.,.]]]
[2,3,4,5,8,1,6,7]=>[6,2,3,4,8,1,7,5]=>[3,7,6,5,1,8,2,4]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]
[3,1,4,2,6,5,8,7]=>[4,2,3,1,6,5,8,7]=>[5,7,6,8,3,4,1,2]=>[[[.,[[.,.],[.,.]]],[.,.]],[.,.]]
[3,4,1,2,6,5,8,7]=>[4,3,2,1,6,5,8,7]=>[5,6,7,8,3,4,1,2]=>[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]
[3,1,4,6,2,5,8,7]=>[5,2,3,6,1,4,8,7]=>[4,7,6,3,8,5,1,2]=>[[[.,[[.,.],.]],[[.,.],.]],[.,.]]
[3,4,1,6,2,5,8,7]=>[5,3,2,6,1,4,8,7]=>[4,6,7,3,8,5,1,2]=>[[[.,[.,[.,.]]],[[.,.],.]],[.,.]]
[3,4,6,1,2,5,8,7]=>[5,4,6,2,1,3,8,7]=>[4,5,3,7,8,6,1,2]=>[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]
[3,1,4,2,6,8,5,7]=>[4,2,3,1,7,8,5,6]=>[5,7,6,8,2,1,4,3]=>[[[.,[[.,.],[.,.]]],.],[[.,.],.]]
[3,4,1,2,6,8,5,7]=>[4,3,2,1,7,8,5,6]=>[5,6,7,8,2,1,4,3]=>[[[.,[.,[.,[.,.]]]],.],[[.,.],.]]
[3,1,4,6,2,8,5,7]=>[5,2,3,7,1,8,4,6]=>[4,7,6,2,8,1,5,3]=>[[[.,[[.,.],.]],[.,.]],[[.,.],.]]
[3,4,1,6,2,8,5,7]=>[5,3,2,7,1,8,4,6]=>[4,6,7,2,8,1,5,3]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]
[3,1,4,6,8,2,5,7]=>[6,2,3,7,8,1,4,5]=>[3,7,6,2,1,8,5,4]=>[[[.,[[.,.],.]],.],[[[.,.],.],.]]
[3,4,1,6,8,2,5,7]=>[6,3,2,7,8,1,4,5]=>[3,6,7,2,1,8,5,4]=>[[[.,[.,[.,.]]],.],[[[.,.],.],.]]
[3,4,6,8,1,2,5,7]=>[6,5,7,8,2,1,3,4]=>[3,4,2,1,7,8,6,5]=>[[[.,[.,.]],.],[[[.,[.,.]],.],.]]
[3,1,4,2,6,5,7,8]=>[4,2,3,1,6,5,7,8]=>[5,7,6,8,3,4,2,1]=>[[[[.,[[.,.],[.,.]]],[.,.]],.],.]
[3,4,1,2,6,5,7,8]=>[4,3,2,1,6,5,7,8]=>[5,6,7,8,3,4,2,1]=>[[[[.,[.,[.,[.,.]]]],[.,.]],.],.]
[3,1,4,2,6,7,5,8]=>[4,2,3,1,7,6,5,8]=>[5,7,6,8,2,3,4,1]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[3,4,1,2,6,7,5,8]=>[4,3,2,1,7,6,5,8]=>[5,6,7,8,2,3,4,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[3,4,1,6,2,7,5,8]=>[5,3,2,7,1,6,4,8]=>[4,6,7,2,8,3,5,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[3,4,6,7,1,2,5,8]=>[6,5,7,4,2,1,3,8]=>[3,4,2,5,7,8,6,1]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[3,1,4,2,6,7,8,5]=>[4,2,3,1,8,6,7,5]=>[5,7,6,8,1,3,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[3,4,1,2,6,7,8,5]=>[4,3,2,1,8,6,7,5]=>[5,6,7,8,1,3,2,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[3,1,4,6,2,7,8,5]=>[5,2,3,8,1,6,7,4]=>[4,7,6,1,8,3,2,5]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]
[3,4,1,6,2,7,8,5]=>[5,3,2,8,1,6,7,4]=>[4,6,7,1,8,3,2,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[3,1,4,6,7,2,8,5]=>[6,2,3,8,5,1,7,4]=>[3,7,6,1,4,8,2,5]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]
[3,4,1,6,7,2,8,5]=>[6,3,2,8,5,1,7,4]=>[3,6,7,1,4,8,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[3,4,6,1,7,2,8,5]=>[6,4,8,2,5,1,7,3]=>[3,5,1,7,4,8,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[3,4,6,7,1,2,8,5]=>[6,5,8,4,2,1,7,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[3,1,4,6,7,8,2,5]=>[7,2,3,8,5,6,1,4]=>[2,7,6,1,4,3,8,5]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[3,4,6,1,7,8,2,5]=>[7,4,8,2,5,6,1,3]=>[2,5,1,7,4,3,8,6]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[3,4,6,7,1,8,2,5]=>[7,5,8,4,2,6,1,3]=>[2,4,1,5,7,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[3,1,4,2,7,5,8,6]=>[4,2,3,1,8,6,7,5]=>[5,7,6,8,1,3,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[3,4,1,2,7,5,8,6]=>[4,3,2,1,8,6,7,5]=>[5,6,7,8,1,3,2,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[3,1,4,7,2,5,8,6]=>[5,2,3,8,1,6,7,4]=>[4,7,6,1,8,3,2,5]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]
[3,4,1,7,2,5,8,6]=>[5,3,2,8,1,6,7,4]=>[4,6,7,1,8,3,2,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[3,1,4,2,7,8,5,6]=>[4,2,3,1,8,7,6,5]=>[5,7,6,8,1,2,3,4]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]
[3,4,1,2,7,8,5,6]=>[4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[3,1,4,7,2,8,5,6]=>[5,2,3,8,1,7,6,4]=>[4,7,6,1,8,2,3,5]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]
[3,4,7,1,8,2,5,6]=>[6,4,8,2,7,1,5,3]=>[3,5,1,7,2,8,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[3,4,7,8,1,2,5,6]=>[6,5,8,7,2,1,4,3]=>[3,4,1,2,7,8,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]
[3,1,4,2,7,5,6,8]=>[4,2,3,1,7,6,5,8]=>[5,7,6,8,2,3,4,1]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[3,4,1,2,7,5,6,8]=>[4,3,2,1,7,6,5,8]=>[5,6,7,8,2,3,4,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[3,4,1,2,5,7,6,8]=>[4,3,2,1,5,7,6,8]=>[5,6,7,8,4,2,3,1]=>[[[[.,[.,[.,[.,.]]]],.],[.,.]],.]
[3,1,4,5,2,7,6,8]=>[5,2,3,4,1,7,6,8]=>[4,7,6,5,8,2,3,1]=>[[[.,[[[.,.],.],[.,.]]],[.,.]],.]
[3,4,1,5,2,7,6,8]=>[5,3,2,4,1,7,6,8]=>[4,6,7,5,8,2,3,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[3,4,1,5,7,2,6,8]=>[6,3,2,4,7,1,5,8]=>[3,6,7,5,2,8,4,1]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]
[3,4,5,1,7,2,6,8]=>[6,4,3,2,7,1,5,8]=>[3,5,6,7,2,8,4,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[3,4,5,7,1,2,6,8]=>[6,5,3,7,2,1,4,8]=>[3,4,6,2,7,8,5,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[3,1,4,2,5,7,8,6]=>[4,2,3,1,5,8,7,6]=>[5,7,6,8,4,1,2,3]=>[[[.,[[.,.],[.,.]]],.],[.,[.,.]]]
[3,4,1,2,5,7,8,6]=>[4,3,2,1,5,8,7,6]=>[5,6,7,8,4,1,2,3]=>[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]]
[3,1,4,5,2,7,8,6]=>[5,2,3,4,1,8,7,6]=>[4,7,6,5,8,1,2,3]=>[[.,[[[.,.],.],[.,.]]],[.,[.,.]]]
[3,4,5,1,2,7,8,6]=>[5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[3,1,4,5,7,2,8,6]=>[6,2,3,4,8,1,7,5]=>[3,7,6,5,1,8,2,4]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]
[3,4,5,7,1,2,8,6]=>[6,5,3,8,2,1,7,4]=>[3,4,6,1,7,8,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[3,1,4,5,7,8,2,6]=>[7,2,3,4,8,6,1,5]=>[2,7,6,5,1,3,8,4]=>[[.,[[[.,.],.],.]],[.,[[.,.],.]]]
[3,4,1,5,7,8,2,6]=>[7,3,2,4,8,6,1,5]=>[2,6,7,5,1,3,8,4]=>[[.,[[.,[.,.]],.]],[.,[[.,.],.]]]
[3,4,5,1,7,8,2,6]=>[7,4,3,2,8,6,1,5]=>[2,5,6,7,1,3,8,4]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]
[3,4,5,7,1,8,2,6]=>[7,5,3,8,2,6,1,4]=>[2,4,6,1,7,3,8,5]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[3,4,5,7,8,1,2,6]=>[7,6,3,8,5,2,1,4]=>[2,3,6,1,4,7,8,5]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[3,1,4,2,8,5,6,7]=>[4,2,3,1,8,6,7,5]=>[5,7,6,8,1,3,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[3,4,1,2,8,5,6,7]=>[4,3,2,1,8,6,7,5]=>[5,6,7,8,1,3,2,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[3,1,4,8,2,5,6,7]=>[5,2,3,8,1,6,7,4]=>[4,7,6,1,8,3,2,5]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]
[3,4,1,8,2,5,6,7]=>[5,3,2,8,1,6,7,4]=>[4,6,7,1,8,3,2,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[3,1,4,2,5,8,6,7]=>[4,2,3,1,5,8,7,6]=>[5,7,6,8,4,1,2,3]=>[[[.,[[.,.],[.,.]]],.],[.,[.,.]]]
[3,4,1,2,5,8,6,7]=>[4,3,2,1,5,8,7,6]=>[5,6,7,8,4,1,2,3]=>[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]]
[3,4,1,5,2,8,6,7]=>[5,3,2,4,1,8,7,6]=>[4,6,7,5,8,1,2,3]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]
[3,4,5,1,2,8,6,7]=>[5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[3,1,4,5,8,2,6,7]=>[6,2,3,4,8,1,7,5]=>[3,7,6,5,1,8,2,4]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]
[3,4,5,8,1,2,6,7]=>[6,5,3,8,2,1,7,4]=>[3,4,6,1,7,8,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[3,4,1,2,5,6,8,7]=>[4,3,2,1,5,6,8,7]=>[5,6,7,8,4,3,1,2]=>[[[[.,[.,[.,[.,.]]]],.],.],[.,.]]
[3,4,5,1,2,6,8,7]=>[5,4,3,2,1,6,8,7]=>[4,5,6,7,8,3,1,2]=>[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]]
[3,4,1,5,6,2,8,7]=>[6,3,2,4,5,1,8,7]=>[3,6,7,5,4,8,1,2]=>[[.,[[[.,[.,.]],.],[.,.]]],[.,.]]
[3,4,5,6,8,1,2,7]=>[7,6,3,4,8,2,1,5]=>[2,3,6,5,1,7,8,4]=>[[.,[.,[[.,.],.]]],[[.,[.,.]],.]]
[3,1,4,2,5,6,7,8]=>[4,2,3,1,5,6,7,8]=>[5,7,6,8,4,3,2,1]=>[[[[[.,[[.,.],[.,.]]],.],.],.],.]
[3,1,4,5,2,6,7,8]=>[5,2,3,4,1,6,7,8]=>[4,7,6,5,8,3,2,1]=>[[[[.,[[[.,.],.],[.,.]]],.],.],.]
[3,4,1,5,2,6,7,8]=>[5,3,2,4,1,6,7,8]=>[4,6,7,5,8,3,2,1]=>[[[[.,[[.,[.,.]],[.,.]]],.],.],.]
[3,1,4,5,6,2,7,8]=>[6,2,3,4,5,1,7,8]=>[3,7,6,5,4,8,2,1]=>[[[.,[[[[.,.],.],.],[.,.]]],.],.]
[3,4,5,1,6,2,7,8]=>[6,4,3,2,5,1,7,8]=>[3,5,6,7,4,8,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[3,1,4,5,6,7,2,8]=>[7,2,3,4,5,6,1,8]=>[2,7,6,5,4,3,8,1]=>[[.,[[[[[.,.],.],.],.],[.,.]]],.]
[3,4,5,1,6,7,2,8]=>[7,4,3,2,5,6,1,8]=>[2,5,6,7,4,3,8,1]=>[[.,[[[.,[.,[.,.]]],.],[.,.]]],.]
[3,4,5,6,1,7,2,8]=>[7,5,3,4,2,6,1,8]=>[2,4,6,5,7,3,8,1]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[3,1,4,5,6,7,8,2]=>[8,2,3,4,5,6,7,1]=>[1,7,6,5,4,3,2,8]=>[.,[[[[[[.,.],.],.],.],.],[.,.]]]
[3,4,1,5,6,7,8,2]=>[8,3,2,4,5,6,7,1]=>[1,6,7,5,4,3,2,8]=>[.,[[[[[.,[.,.]],.],.],.],[.,.]]]
[3,4,5,1,6,7,8,2]=>[8,4,3,2,5,6,7,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,[.,[.,.]]],.],.],[.,.]]]
[3,4,5,6,7,1,8,2]=>[8,6,3,4,5,2,7,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[3,1,5,2,6,4,8,7]=>[4,2,6,1,5,3,8,7]=>[5,7,3,8,4,6,1,2]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]
[3,5,1,2,6,4,8,7]=>[4,6,3,1,5,2,8,7]=>[5,3,6,8,4,7,1,2]=>[[[.,.],[[.,[.,.]],[.,.]]],[.,.]]
[3,5,1,6,2,4,8,7]=>[5,6,3,4,1,2,8,7]=>[4,3,6,5,8,7,1,2]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]
[3,5,6,1,2,4,8,7]=>[5,6,4,3,1,2,8,7]=>[4,3,5,6,8,7,1,2]=>[[[.,.],[.,[.,[[.,.],.]]]],[.,.]]
[3,1,5,2,6,8,4,7]=>[4,2,7,1,5,8,3,6]=>[5,7,2,8,4,1,6,3]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]
[3,5,1,2,6,8,4,7]=>[4,7,3,1,5,8,2,6]=>[5,2,6,8,4,1,7,3]=>[[[.,.],[[.,[.,.]],.]],[[.,.],.]]
[3,1,5,6,2,8,4,7]=>[5,2,7,4,1,8,3,6]=>[4,7,2,5,8,1,6,3]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]
[3,5,6,1,2,8,4,7]=>[5,7,4,3,1,8,2,6]=>[4,2,5,6,8,1,7,3]=>[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]
[3,1,5,6,8,2,4,7]=>[6,2,7,4,8,1,3,5]=>[3,7,2,5,1,8,6,4]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]
[3,5,1,6,8,2,4,7]=>[6,7,3,4,8,1,2,5]=>[3,2,6,5,1,8,7,4]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]
[3,5,6,1,8,2,4,7]=>[6,7,4,3,8,1,2,5]=>[3,2,5,6,1,8,7,4]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]
[3,5,6,8,1,2,4,7]=>[6,7,5,8,3,1,2,4]=>[3,2,4,1,6,8,7,5]=>[[[.,.],[.,.]],[[.,[[.,.],.]],.]]
[3,1,5,6,2,4,7,8]=>[5,2,6,4,1,3,7,8]=>[4,7,3,5,8,6,2,1]=>[[[[.,[.,.]],[.,[[.,.],.]]],.],.]
[3,5,1,6,2,4,7,8]=>[5,6,3,4,1,2,7,8]=>[4,3,6,5,8,7,2,1]=>[[[[.,.],[[.,.],[[.,.],.]]],.],.]
[3,5,6,1,2,4,7,8]=>[5,6,4,3,1,2,7,8]=>[4,3,5,6,8,7,2,1]=>[[[[.,.],[.,[.,[[.,.],.]]]],.],.]
[3,5,1,2,6,7,4,8]=>[4,7,3,1,5,6,2,8]=>[5,2,6,8,4,3,7,1]=>[[[.,.],[[[.,[.,.]],.],[.,.]]],.]
[3,5,1,6,2,7,4,8]=>[5,7,3,4,1,6,2,8]=>[4,2,6,5,8,3,7,1]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[3,5,1,6,7,2,4,8]=>[6,7,3,4,5,1,2,8]=>[3,2,6,5,4,8,7,1]=>[[[.,.],[[[.,.],.],[[.,.],.]]],.]
[3,5,6,7,1,2,4,8]=>[6,7,5,4,3,1,2,8]=>[3,2,4,5,6,8,7,1]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[3,1,5,2,6,7,8,4]=>[4,2,8,1,5,6,7,3]=>[5,7,1,8,4,3,2,6]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]
[3,5,1,2,6,7,8,4]=>[4,8,3,1,5,6,7,2]=>[5,1,6,8,4,3,2,7]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]
[3,1,5,6,2,7,8,4]=>[5,2,8,4,1,6,7,3]=>[4,7,1,5,8,3,2,6]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[3,5,1,6,2,7,8,4]=>[5,8,3,4,1,6,7,2]=>[4,1,6,5,8,3,2,7]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]
[3,1,5,6,7,2,8,4]=>[6,2,8,4,5,1,7,3]=>[3,7,1,5,4,8,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[3,5,1,6,7,2,8,4]=>[6,8,3,4,5,1,7,2]=>[3,1,6,5,4,8,2,7]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]
[3,5,6,7,1,2,8,4]=>[6,8,5,4,3,1,7,2]=>[3,1,4,5,6,8,2,7]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[3,1,5,6,7,8,2,4]=>[7,2,8,4,5,6,1,3]=>[2,7,1,5,4,3,8,6]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[3,5,1,6,7,8,2,4]=>[7,8,3,4,5,6,1,2]=>[2,1,6,5,4,3,8,7]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]
[3,5,6,1,7,8,2,4]=>[7,8,4,3,5,6,1,2]=>[2,1,5,6,4,3,8,7]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]
[3,5,6,7,1,8,2,4]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[3,1,5,2,7,4,8,6]=>[4,2,6,1,8,3,7,5]=>[5,7,3,8,1,6,2,4]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[3,5,1,2,7,4,8,6]=>[4,6,3,1,8,2,7,5]=>[5,3,6,8,1,7,2,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[3,1,5,7,2,4,8,6]=>[5,2,6,8,1,3,7,4]=>[4,7,3,1,8,6,2,5]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]
[3,5,1,7,2,4,8,6]=>[5,6,3,8,1,2,7,4]=>[4,3,6,1,8,7,2,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[3,5,7,1,2,4,8,6]=>[5,6,8,4,1,2,7,3]=>[4,3,1,5,8,7,2,6]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]
[3,1,5,2,7,8,4,6]=>[4,2,7,1,8,6,3,5]=>[5,7,2,8,1,3,6,4]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]
[3,5,1,2,7,8,4,6]=>[4,7,3,1,8,6,2,5]=>[5,2,6,8,1,3,7,4]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]
[3,1,5,7,2,8,4,6]=>[5,2,7,8,1,6,3,4]=>[4,7,2,1,8,3,6,5]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]
[3,5,1,7,2,8,4,6]=>[5,7,3,8,1,6,2,4]=>[4,2,6,1,8,3,7,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[3,5,7,1,2,8,4,6]=>[5,7,8,4,1,6,2,3]=>[4,2,1,5,8,3,7,6]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]
[3,1,5,7,8,2,4,6]=>[6,2,7,8,5,1,3,4]=>[3,7,2,1,4,8,6,5]=>[[[.,[.,.]],.],[.,[[[.,.],.],.]]]
[3,5,1,7,8,2,4,6]=>[6,7,3,8,5,1,2,4]=>[3,2,6,1,4,8,7,5]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]
[3,5,7,8,1,2,4,6]=>[6,7,8,5,4,1,2,3]=>[3,2,1,4,5,8,7,6]=>[[[.,.],.],[.,[.,[[[.,.],.],.]]]]
[3,1,5,2,7,4,6,8]=>[4,2,6,1,7,3,5,8]=>[5,7,3,8,2,6,4,1]=>[[[[.,[.,.]],[.,.]],[[.,.],.]],.]
[3,5,1,2,7,4,6,8]=>[4,6,3,1,7,2,5,8]=>[5,3,6,8,2,7,4,1]=>[[[[.,.],[.,[.,.]]],[[.,.],.]],.]
[3,1,5,7,2,4,6,8]=>[5,2,6,7,1,3,4,8]=>[4,7,3,2,8,6,5,1]=>[[[[.,[.,.]],.],[[[.,.],.],.]],.]
[3,5,1,7,2,4,6,8]=>[5,6,3,7,1,2,4,8]=>[4,3,6,2,8,7,5,1]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]
[3,5,7,1,2,4,6,8]=>[5,6,7,4,1,2,3,8]=>[4,3,2,5,8,7,6,1]=>[[[[.,.],.],[.,[[[.,.],.],.]]],.]
[3,1,2,5,4,7,6,8]=>[3,2,1,5,4,7,6,8]=>[6,7,8,4,5,2,3,1]=>[[[[.,[.,[.,.]]],[.,.]],[.,.]],.]
[3,1,2,5,7,4,6,8]=>[3,2,1,6,7,4,5,8]=>[6,7,8,3,2,5,4,1]=>[[[[.,[.,[.,.]]],.],[[.,.],.]],.]
[1,3,5,2,7,4,6,8]=>[1,4,6,2,7,3,5,8]=>[8,5,3,7,2,6,4,1]=>[[[[[.,.],.],[.,.]],[[.,.],.]],.]
[1,3,5,7,2,4,6,8]=>[1,5,6,7,2,3,4,8]=>[8,4,3,2,7,6,5,1]=>[[[[[.,.],.],.],[[[.,.],.],.]],.]
[1,3,5,2,7,4,8,6]=>[1,4,6,2,8,3,7,5]=>[8,5,3,7,1,6,2,4]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]
[1,3,5,7,2,4,8,6]=>[1,5,6,8,2,3,7,4]=>[8,4,3,1,7,6,2,5]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]
[1,3,2,5,7,8,4,6]=>[1,3,2,7,8,6,4,5]=>[8,6,7,2,1,3,5,4]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]
[1,3,5,2,7,8,4,6]=>[1,4,7,2,8,6,3,5]=>[8,5,2,7,1,3,6,4]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]
[1,3,5,7,2,8,4,6]=>[1,5,7,8,2,6,3,4]=>[8,4,2,1,7,3,6,5]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]
[1,3,5,7,8,2,4,6]=>[1,6,7,8,5,2,3,4]=>[8,3,2,1,4,7,6,5]=>[[[[.,.],.],.],[.,[[[.,.],.],.]]]
[3,1,5,2,8,4,6,7]=>[4,2,6,1,8,3,7,5]=>[5,7,3,8,1,6,2,4]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[3,5,1,2,8,4,6,7]=>[4,6,3,1,8,2,7,5]=>[5,3,6,8,1,7,2,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[3,1,5,8,2,4,6,7]=>[5,2,6,8,1,3,7,4]=>[4,7,3,1,8,6,2,5]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]
[3,5,1,8,2,4,6,7]=>[5,6,3,8,1,2,7,4]=>[4,3,6,1,8,7,2,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[1,3,2,5,4,8,6,7]=>[1,3,2,5,4,8,7,6]=>[8,6,7,4,5,1,2,3]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]
[1,3,5,2,8,4,6,7]=>[1,4,6,2,8,3,7,5]=>[8,5,3,7,1,6,2,4]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]
[1,3,5,8,2,4,6,7]=>[1,5,6,8,2,3,7,4]=>[8,4,3,1,7,6,2,5]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]
[3,1,5,2,4,6,8,7]=>[4,2,5,1,3,6,8,7]=>[5,7,4,8,6,3,1,2]=>[[[[.,[.,.]],[[.,.],.]],.],[.,.]]
[3,1,2,5,4,6,8,7]=>[3,2,1,5,4,6,8,7]=>[6,7,8,4,5,3,1,2]=>[[[[.,[.,[.,.]]],[.,.]],.],[.,.]]
[1,3,5,2,4,6,8,7]=>[1,4,5,2,3,6,8,7]=>[8,5,4,7,6,3,1,2]=>[[[[[.,.],.],[[.,.],.]],.],[.,.]]
[1,3,5,2,6,8,4,7]=>[1,4,7,2,5,8,3,6]=>[8,5,2,7,4,1,6,3]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]
[1,3,5,6,2,8,4,7]=>[1,5,7,4,2,8,3,6]=>[8,4,2,5,7,1,6,3]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]
[1,3,5,6,8,2,4,7]=>[1,6,7,4,8,2,3,5]=>[8,3,2,5,1,7,6,4]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]
[3,1,5,2,4,6,7,8]=>[4,2,5,1,3,6,7,8]=>[5,7,4,8,6,3,2,1]=>[[[[[.,[.,.]],[[.,.],.]],.],.],.]
[1,3,5,2,4,6,7,8]=>[1,4,5,2,3,6,7,8]=>[8,5,4,7,6,3,2,1]=>[[[[[[.,.],.],[[.,.],.]],.],.],.]
[3,1,2,5,6,4,7,8]=>[3,2,1,6,5,4,7,8]=>[6,7,8,3,4,5,2,1]=>[[[[.,[.,[.,.]]],[.,[.,.]]],.],.]
[1,3,5,2,6,4,7,8]=>[1,4,6,2,5,3,7,8]=>[8,5,3,7,4,6,2,1]=>[[[[[.,.],.],[[.,.],[.,.]]],.],.]
[1,3,5,6,2,4,7,8]=>[1,5,6,4,2,3,7,8]=>[8,4,3,5,7,6,2,1]=>[[[[[.,.],.],[.,[[.,.],.]]],.],.]
[3,1,2,5,6,7,4,8]=>[3,2,1,7,5,6,4,8]=>[6,7,8,2,4,3,5,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[1,3,5,6,2,7,4,8]=>[1,5,7,4,2,6,3,8]=>[8,4,2,5,7,3,6,1]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]
[1,3,5,6,7,2,4,8]=>[1,6,7,4,5,2,3,8]=>[8,3,2,5,4,7,6,1]=>[[[[.,.],.],[[.,.],[[.,.],.]]],.]
[3,1,2,5,6,7,8,4]=>[3,2,1,8,5,6,7,4]=>[6,7,8,1,4,3,2,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[1,3,5,6,2,7,8,4]=>[1,5,8,4,2,6,7,3]=>[8,4,1,5,7,3,2,6]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]
[1,3,5,6,7,2,8,4]=>[1,6,8,4,5,2,7,3]=>[8,3,1,5,4,7,2,6]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]
[1,3,5,6,7,8,2,4]=>[1,7,8,4,5,6,2,3]=>[8,2,1,5,4,3,7,6]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]
[3,6,1,2,7,4,8,5]=>[4,8,3,1,6,5,7,2]=>[5,1,6,8,3,4,2,7]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]
[3,6,1,7,2,4,8,5]=>[5,8,3,6,1,4,7,2]=>[4,1,6,3,8,5,2,7]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]
[3,6,7,1,2,4,8,5]=>[5,8,6,4,1,3,7,2]=>[4,1,3,5,8,6,2,7]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]
[3,1,6,7,2,8,4,5]=>[5,2,8,7,1,6,4,3]=>[4,7,1,2,8,3,5,6]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[3,6,1,7,2,8,4,5]=>[5,8,3,7,1,6,4,2]=>[4,1,6,2,8,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[3,6,7,1,2,8,4,5]=>[5,8,7,4,1,6,3,2]=>[4,1,2,5,8,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[3,6,1,7,8,2,4,5]=>[6,8,3,7,5,1,4,2]=>[3,1,6,2,4,8,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[3,6,7,8,1,2,4,5]=>[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[3,1,6,2,7,4,5,8]=>[4,2,7,1,6,5,3,8]=>[5,7,2,8,3,4,6,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[3,1,6,7,2,4,5,8]=>[5,2,7,6,1,4,3,8]=>[4,7,2,3,8,5,6,1]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[3,1,6,2,4,7,5,8]=>[4,2,7,1,5,6,3,8]=>[5,7,2,8,4,3,6,1]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]
[3,6,1,2,4,7,5,8]=>[4,7,3,1,5,6,2,8]=>[5,2,6,8,4,3,7,1]=>[[[.,.],[[[.,[.,.]],.],[.,.]]],.]
[3,1,2,6,4,7,5,8]=>[3,2,1,7,5,6,4,8]=>[6,7,8,2,4,3,5,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[1,3,2,6,7,4,5,8]=>[1,3,2,7,6,5,4,8]=>[8,6,7,2,3,4,5,1]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]
[1,3,6,2,7,4,5,8]=>[1,4,7,2,6,5,3,8]=>[8,5,2,7,3,4,6,1]=>[[[[.,.],.],[[.,.],[.,[.,.]]]],.]
[3,1,6,2,4,7,8,5]=>[4,2,8,1,5,6,7,3]=>[5,7,1,8,4,3,2,6]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]
[3,6,1,2,4,7,8,5]=>[4,8,3,1,5,6,7,2]=>[5,1,6,8,4,3,2,7]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]
[3,1,2,6,4,7,8,5]=>[3,2,1,8,5,6,7,4]=>[6,7,8,1,4,3,2,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[1,3,2,6,4,7,8,5]=>[1,3,2,8,5,6,7,4]=>[8,6,7,1,4,3,2,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[3,1,2,6,7,4,8,5]=>[3,2,1,8,6,5,7,4]=>[6,7,8,1,3,4,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[1,3,2,6,7,4,8,5]=>[1,3,2,8,6,5,7,4]=>[8,6,7,1,3,4,2,5]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[1,3,6,7,2,4,8,5]=>[1,5,8,6,2,4,7,3]=>[8,4,1,3,7,5,2,6]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]
[3,1,2,6,7,8,4,5]=>[3,2,1,8,7,6,5,4]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[1,3,2,6,7,8,4,5]=>[1,3,2,8,7,6,5,4]=>[8,6,7,1,2,3,4,5]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]
[1,3,6,2,7,8,4,5]=>[1,4,8,2,7,6,5,3]=>[8,5,1,7,2,3,4,6]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[1,3,6,7,8,2,4,5]=>[1,6,8,7,5,2,4,3]=>[8,3,1,2,4,7,5,6]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]
[3,1,6,2,8,4,5,7]=>[4,2,7,1,8,6,3,5]=>[5,7,2,8,1,3,6,4]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]
[3,6,1,2,8,4,5,7]=>[4,7,3,1,8,6,2,5]=>[5,2,6,8,1,3,7,4]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]
[3,1,6,8,2,4,5,7]=>[5,2,7,8,1,6,3,4]=>[4,7,2,1,8,3,6,5]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]
[3,6,1,8,2,4,5,7]=>[5,7,3,8,1,6,2,4]=>[4,2,6,1,8,3,7,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[3,6,8,1,2,4,5,7]=>[5,7,8,4,1,6,2,3]=>[4,2,1,5,8,3,7,6]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]
[3,1,6,2,4,8,5,7]=>[4,2,7,1,5,8,3,6]=>[5,7,2,8,4,1,6,3]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]
[3,6,1,2,4,8,5,7]=>[4,7,3,1,5,8,2,6]=>[5,2,6,8,4,1,7,3]=>[[[.,.],[[.,[.,.]],.]],[[.,.],.]]
[1,3,2,6,4,8,5,7]=>[1,3,2,7,5,8,4,6]=>[8,6,7,2,4,1,5,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]
[1,3,6,2,4,8,5,7]=>[1,4,7,2,5,8,3,6]=>[8,5,2,7,4,1,6,3]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]
[1,3,2,6,8,4,5,7]=>[1,3,2,7,8,6,4,5]=>[8,6,7,2,1,3,5,4]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]
[3,1,6,2,4,5,8,7]=>[4,2,6,1,5,3,8,7]=>[5,7,3,8,4,6,1,2]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]
[3,6,1,2,4,5,8,7]=>[4,6,3,1,5,2,8,7]=>[5,3,6,8,4,7,1,2]=>[[[.,.],[[.,[.,.]],[.,.]]],[.,.]]
[3,1,2,4,6,5,8,7]=>[3,2,1,4,6,5,8,7]=>[6,7,8,5,3,4,1,2]=>[[[[.,[.,[.,.]]],.],[.,.]],[.,.]]
[1,3,4,6,2,5,8,7]=>[1,5,3,6,2,4,8,7]=>[8,4,6,3,7,5,1,2]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]
[3,1,2,4,6,8,5,7]=>[3,2,1,4,7,8,5,6]=>[6,7,8,5,2,1,4,3]=>[[[[.,[.,[.,.]]],.],.],[[.,.],.]]
[1,3,2,4,6,8,5,7]=>[1,3,2,4,7,8,5,6]=>[8,6,7,5,2,1,4,3]=>[[[[[.,.],[.,.]],.],.],[[.,.],.]]
[1,3,4,6,8,2,5,7]=>[1,6,3,7,8,2,4,5]=>[8,3,6,2,1,7,5,4]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]
[3,1,6,2,4,5,7,8]=>[4,2,6,1,5,3,7,8]=>[5,7,3,8,4,6,2,1]=>[[[[.,[.,.]],[[.,.],[.,.]]],.],.]
[3,6,1,2,4,5,7,8]=>[4,6,3,1,5,2,7,8]=>[5,3,6,8,4,7,2,1]=>[[[[.,.],[[.,[.,.]],[.,.]]],.],.]
[1,3,2,6,4,5,7,8]=>[1,3,2,6,5,4,7,8]=>[8,6,7,3,4,5,2,1]=>[[[[[.,.],[.,.]],[.,[.,.]]],.],.]
[1,3,6,2,4,5,7,8]=>[1,4,6,2,5,3,7,8]=>[8,5,3,7,4,6,2,1]=>[[[[[.,.],.],[[.,.],[.,.]]],.],.]
[1,3,4,6,2,5,7,8]=>[1,5,3,6,2,4,7,8]=>[8,4,6,3,7,5,2,1]=>[[[[[.,.],[.,.]],[[.,.],.]],.],.]
[3,1,2,4,6,7,5,8]=>[3,2,1,4,7,6,5,8]=>[6,7,8,5,2,3,4,1]=>[[[[.,[.,[.,.]]],.],[.,[.,.]]],.]
[1,3,4,6,2,7,5,8]=>[1,5,3,7,2,6,4,8]=>[8,4,6,2,7,3,5,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[1,3,4,6,7,2,5,8]=>[1,6,3,7,5,2,4,8]=>[8,3,6,2,4,7,5,1]=>[[[[.,.],[.,.]],[.,[[.,.],.]]],.]
[3,1,2,4,6,7,8,5]=>[3,2,1,4,8,6,7,5]=>[6,7,8,5,1,3,2,4]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]
[1,3,4,6,7,2,8,5]=>[1,6,3,8,5,2,7,4]=>[8,3,6,1,4,7,2,5]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[1,3,4,6,7,8,2,5]=>[1,7,3,8,5,6,2,4]=>[8,2,6,1,4,3,7,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[3,1,7,2,8,4,5,6]=>[4,2,8,1,7,6,5,3]=>[5,7,1,8,2,3,4,6]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[3,1,7,8,2,4,5,6]=>[5,2,8,7,1,6,4,3]=>[4,7,1,2,8,3,5,6]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[3,7,1,8,2,4,5,6]=>[5,8,3,7,1,6,4,2]=>[4,1,6,2,8,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[3,7,8,1,2,4,5,6]=>[5,8,7,4,1,6,3,2]=>[4,1,2,5,8,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[3,1,2,7,4,8,5,6]=>[3,2,1,8,5,7,6,4]=>[6,7,8,1,4,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[3,1,2,7,8,4,5,6]=>[3,2,1,8,7,6,5,4]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[1,3,7,2,8,4,5,6]=>[1,4,8,2,7,6,5,3]=>[8,5,1,7,2,3,4,6]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[1,3,7,8,2,4,5,6]=>[1,5,8,7,2,6,4,3]=>[8,4,1,2,7,3,5,6]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[3,1,7,2,4,5,8,6]=>[4,2,8,1,5,6,7,3]=>[5,7,1,8,4,3,2,6]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]
[3,7,1,2,4,5,8,6]=>[4,8,3,1,5,6,7,2]=>[5,1,6,8,4,3,2,7]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]
[3,1,2,4,7,5,8,6]=>[3,2,1,4,8,6,7,5]=>[6,7,8,5,1,3,2,4]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]
[1,3,2,4,7,5,8,6]=>[1,3,2,4,8,6,7,5]=>[8,6,7,5,1,3,2,4]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]
[1,3,4,2,7,5,8,6]=>[1,4,3,2,8,6,7,5]=>[8,5,6,7,1,3,2,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[1,3,4,7,2,5,8,6]=>[1,5,3,8,2,6,7,4]=>[8,4,6,1,7,3,2,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[3,1,2,4,7,8,5,6]=>[3,2,1,4,8,7,6,5]=>[6,7,8,5,1,2,3,4]=>[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]
[1,3,2,4,7,8,5,6]=>[1,3,2,4,8,7,6,5]=>[8,6,7,5,1,2,3,4]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]
[1,3,4,2,7,8,5,6]=>[1,4,3,2,8,7,6,5]=>[8,5,6,7,1,2,3,4]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]
[1,3,4,7,8,2,5,6]=>[1,6,3,8,7,2,5,4]=>[8,3,6,1,2,7,4,5]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]
[3,1,7,2,4,5,6,8]=>[4,2,7,1,5,6,3,8]=>[5,7,2,8,4,3,6,1]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]
[3,7,1,2,4,5,6,8]=>[4,7,3,1,5,6,2,8]=>[5,2,6,8,4,3,7,1]=>[[[.,.],[[[.,[.,.]],.],[.,.]]],.]
[3,1,2,7,4,5,6,8]=>[3,2,1,7,5,6,4,8]=>[6,7,8,2,4,3,5,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[3,1,2,4,7,5,6,8]=>[3,2,1,4,7,6,5,8]=>[6,7,8,5,2,3,4,1]=>[[[[.,[.,[.,.]]],.],[.,[.,.]]],.]
[1,3,4,7,2,5,6,8]=>[1,5,3,7,2,6,4,8]=>[8,4,6,2,7,3,5,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[3,1,2,4,5,7,8,6]=>[3,2,1,4,5,8,7,6]=>[6,7,8,5,4,1,2,3]=>[[[[.,[.,[.,.]]],.],.],[.,[.,.]]]
[1,3,4,5,7,2,8,6]=>[1,6,3,4,8,2,7,5]=>[8,3,6,5,1,7,2,4]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]
[1,3,4,5,7,8,2,6]=>[1,7,3,4,8,6,2,5]=>[8,2,6,5,1,3,7,4]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]
[3,1,8,2,4,5,6,7]=>[4,2,8,1,5,6,7,3]=>[5,7,1,8,4,3,2,6]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]
[3,8,1,2,4,5,6,7]=>[4,8,3,1,5,6,7,2]=>[5,1,6,8,4,3,2,7]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]
[3,1,2,8,4,5,6,7]=>[3,2,1,8,5,6,7,4]=>[6,7,8,1,4,3,2,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[1,3,2,8,4,5,6,7]=>[1,3,2,8,5,6,7,4]=>[8,6,7,1,4,3,2,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[3,1,2,4,8,5,6,7]=>[3,2,1,4,8,6,7,5]=>[6,7,8,5,1,3,2,4]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]
[1,3,2,4,8,5,6,7]=>[1,3,2,4,8,6,7,5]=>[8,6,7,5,1,3,2,4]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]
[1,3,4,2,8,5,6,7]=>[1,4,3,2,8,6,7,5]=>[8,5,6,7,1,3,2,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[1,3,4,8,2,5,6,7]=>[1,5,3,8,2,6,7,4]=>[8,4,6,1,7,3,2,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[3,1,2,4,5,8,6,7]=>[3,2,1,4,5,8,7,6]=>[6,7,8,5,4,1,2,3]=>[[[[.,[.,[.,.]]],.],.],[.,[.,.]]]
[1,3,4,2,5,8,6,7]=>[1,4,3,2,5,8,7,6]=>[8,5,6,7,4,1,2,3]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]
[1,3,4,5,2,8,6,7]=>[1,5,3,4,2,8,7,6]=>[8,4,6,5,7,1,2,3]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]
[1,3,4,5,8,2,6,7]=>[1,6,3,4,8,2,7,5]=>[8,3,6,5,1,7,2,4]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]
[3,1,2,4,5,6,8,7]=>[3,2,1,4,5,6,8,7]=>[6,7,8,5,4,3,1,2]=>[[[[[.,[.,[.,.]]],.],.],.],[.,.]]
[4,1,5,2,6,3,8,7]=>[6,2,4,3,5,1,8,7]=>[3,7,5,6,4,8,1,2]=>[[.,[[[.,.],[.,.]],[.,.]]],[.,.]]
[4,1,5,6,2,3,8,7]=>[6,2,5,4,3,1,8,7]=>[3,7,4,5,6,8,1,2]=>[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]
[4,5,6,1,2,3,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[4,1,5,6,2,8,3,7]=>[7,2,5,4,3,8,1,6]=>[2,7,4,5,6,1,8,3]=>[[.,[[.,.],[.,[.,.]]]],[[.,.],.]]
[4,5,6,1,2,8,3,7]=>[7,5,4,3,2,8,1,6]=>[2,4,5,6,7,1,8,3]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[4,5,1,6,8,2,3,7]=>[7,6,3,4,8,2,1,5]=>[2,3,6,5,1,7,8,4]=>[[.,[.,[[.,.],.]]],[[.,[.,.]],.]]
[4,5,6,1,8,2,3,7]=>[7,6,4,3,8,2,1,5]=>[2,3,5,6,1,7,8,4]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[4,5,6,8,1,2,3,7]=>[7,6,5,8,3,2,1,4]=>[2,3,4,1,6,7,8,5]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[4,5,1,6,2,3,7,8]=>[6,5,3,4,2,1,7,8]=>[3,4,6,5,7,8,2,1]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[4,5,1,2,6,7,3,8]=>[7,4,3,2,5,6,1,8]=>[2,5,6,7,4,3,8,1]=>[[.,[[[.,[.,[.,.]]],.],[.,.]]],.]
[4,5,1,6,2,7,3,8]=>[7,5,3,4,2,6,1,8]=>[2,4,6,5,7,3,8,1]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[4,5,6,1,2,7,3,8]=>[7,5,4,3,2,6,1,8]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[4,1,5,6,7,2,3,8]=>[7,2,6,4,5,3,1,8]=>[2,7,3,5,4,6,8,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[4,5,1,6,7,2,3,8]=>[7,6,3,4,5,2,1,8]=>[2,3,6,5,4,7,8,1]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[4,5,6,1,7,2,3,8]=>[7,6,4,3,5,2,1,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[4,1,5,2,6,7,8,3]=>[8,2,4,3,5,6,7,1]=>[1,7,5,6,4,3,2,8]=>[.,[[[[[.,.],[.,.]],.],.],[.,.]]]
[4,5,1,2,6,7,8,3]=>[8,4,3,2,5,6,7,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,[.,[.,.]]],.],.],[.,.]]]
[4,1,5,6,7,2,8,3]=>[8,2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[4,5,1,6,7,2,8,3]=>[8,6,3,4,5,2,7,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[4,5,6,1,7,2,8,3]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[4,5,6,7,1,2,8,3]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,1,5,6,7,8,2,3]=>[8,2,7,4,5,6,3,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[4,5,1,6,7,8,2,3]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[4,5,6,7,1,8,2,3]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,5,1,2,7,3,8,6]=>[6,4,3,2,8,1,7,5]=>[3,5,6,7,1,8,2,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[4,5,1,7,2,3,8,6]=>[6,5,3,8,2,1,7,4]=>[3,4,6,1,7,8,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[4,5,7,1,2,3,8,6]=>[6,5,8,4,2,1,7,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[4,5,1,2,7,8,3,6]=>[7,4,3,2,8,6,1,5]=>[2,5,6,7,1,3,8,4]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]
[4,1,5,7,2,8,3,6]=>[7,2,5,8,3,6,1,4]=>[2,7,4,1,6,3,8,5]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[4,5,1,7,2,8,3,6]=>[7,5,3,8,2,6,1,4]=>[2,4,6,1,7,3,8,5]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[4,5,7,1,2,8,3,6]=>[7,5,8,4,2,6,1,3]=>[2,4,1,5,7,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[4,5,1,7,8,2,3,6]=>[7,6,3,8,5,2,1,4]=>[2,3,6,1,4,7,8,5]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[4,5,7,8,1,2,3,6]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[4,5,1,2,7,3,6,8]=>[6,4,3,2,7,1,5,8]=>[3,5,6,7,2,8,4,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[4,5,1,7,2,3,6,8]=>[6,5,3,7,2,1,4,8]=>[3,4,6,2,7,8,5,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[4,1,5,2,3,7,6,8]=>[5,2,4,3,1,7,6,8]=>[4,7,5,6,8,2,3,1]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[4,5,1,2,3,7,6,8]=>[5,4,3,2,1,7,6,8]=>[4,5,6,7,8,2,3,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[4,1,2,5,3,7,6,8]=>[5,2,3,4,1,7,6,8]=>[4,7,6,5,8,2,3,1]=>[[[.,[[[.,.],.],[.,.]]],[.,.]],.]
[1,4,2,5,3,7,6,8]=>[1,5,3,4,2,7,6,8]=>[8,4,6,5,7,2,3,1]=>[[[[.,.],[[.,.],[.,.]]],[.,.]],.]
[1,4,5,2,3,7,6,8]=>[1,5,4,3,2,7,6,8]=>[8,4,5,6,7,2,3,1]=>[[[[.,.],[.,[.,[.,.]]]],[.,.]],.]
[4,1,5,2,3,7,8,6]=>[5,2,4,3,1,8,7,6]=>[4,7,5,6,8,1,2,3]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]
[4,1,2,5,3,7,8,6]=>[5,2,3,4,1,8,7,6]=>[4,7,6,5,8,1,2,3]=>[[.,[[[.,.],.],[.,.]]],[.,[.,.]]]
[1,4,2,5,3,7,8,6]=>[1,5,3,4,2,8,7,6]=>[8,4,6,5,7,1,2,3]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]
[1,4,5,2,3,7,8,6]=>[1,5,4,3,2,8,7,6]=>[8,4,5,6,7,1,2,3]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]
[4,1,2,5,7,3,8,6]=>[6,2,3,4,8,1,7,5]=>[3,7,6,5,1,8,2,4]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]
[1,4,2,5,7,3,8,6]=>[1,6,3,4,8,2,7,5]=>[8,3,6,5,1,7,2,4]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]
[1,4,5,2,7,3,8,6]=>[1,6,4,3,8,2,7,5]=>[8,3,5,6,1,7,2,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[1,4,5,7,2,3,8,6]=>[1,6,5,8,3,2,7,4]=>[8,3,4,1,6,7,2,5]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[4,1,2,5,7,8,3,6]=>[7,2,3,4,8,6,1,5]=>[2,7,6,5,1,3,8,4]=>[[.,[[[.,.],.],.]],[.,[[.,.],.]]]
[1,4,2,5,7,8,3,6]=>[1,7,3,4,8,6,2,5]=>[8,2,6,5,1,3,7,4]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]
[4,5,1,2,8,3,6,7]=>[6,4,3,2,8,1,7,5]=>[3,5,6,7,1,8,2,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[4,5,1,8,2,3,6,7]=>[6,5,3,8,2,1,7,4]=>[3,4,6,1,7,8,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[4,5,8,1,2,3,6,7]=>[6,5,8,4,2,1,7,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[4,1,5,2,3,8,6,7]=>[5,2,4,3,1,8,7,6]=>[4,7,5,6,8,1,2,3]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]
[4,5,1,2,3,8,6,7]=>[5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[4,1,2,5,3,8,6,7]=>[5,2,3,4,1,8,7,6]=>[4,7,6,5,8,1,2,3]=>[[.,[[[.,.],.],[.,.]]],[.,[.,.]]]
[1,4,2,5,3,8,6,7]=>[1,5,3,4,2,8,7,6]=>[8,4,6,5,7,1,2,3]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]
[1,4,5,2,3,8,6,7]=>[1,5,4,3,2,8,7,6]=>[8,4,5,6,7,1,2,3]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]
[4,1,2,5,8,3,6,7]=>[6,2,3,4,8,1,7,5]=>[3,7,6,5,1,8,2,4]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]
[1,4,2,5,8,3,6,7]=>[1,6,3,4,8,2,7,5]=>[8,3,6,5,1,7,2,4]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]
[1,4,5,2,8,3,6,7]=>[1,6,4,3,8,2,7,5]=>[8,3,5,6,1,7,2,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[1,4,5,8,2,3,6,7]=>[1,6,5,8,3,2,7,4]=>[8,3,4,1,6,7,2,5]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[4,5,1,2,3,6,8,7]=>[5,4,3,2,1,6,8,7]=>[4,5,6,7,8,3,1,2]=>[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]]
[1,4,5,6,2,3,8,7]=>[1,6,5,4,3,2,8,7]=>[8,3,4,5,6,7,1,2]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]
[1,4,5,6,8,2,3,7]=>[1,7,6,4,8,3,2,5]=>[8,2,3,5,1,6,7,4]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]
[4,1,5,2,3,6,7,8]=>[5,2,4,3,1,6,7,8]=>[4,7,5,6,8,3,2,1]=>[[[[.,[[.,.],[.,[.,.]]]],.],.],.]
[4,1,2,5,3,6,7,8]=>[5,2,3,4,1,6,7,8]=>[4,7,6,5,8,3,2,1]=>[[[[.,[[[.,.],.],[.,.]]],.],.],.]
[1,4,5,2,3,6,7,8]=>[1,5,4,3,2,6,7,8]=>[8,4,5,6,7,3,2,1]=>[[[[[.,.],[.,[.,[.,.]]]],.],.],.]
[4,1,2,5,6,3,7,8]=>[6,2,3,4,5,1,7,8]=>[3,7,6,5,4,8,2,1]=>[[[.,[[[[.,.],.],.],[.,.]]],.],.]
[1,4,5,2,6,3,7,8]=>[1,6,4,3,5,2,7,8]=>[8,3,5,6,4,7,2,1]=>[[[[.,.],[[.,[.,.]],[.,.]]],.],.]
[1,4,5,6,2,3,7,8]=>[1,6,5,4,3,2,7,8]=>[8,3,4,5,6,7,2,1]=>[[[[.,.],[.,[.,[.,[.,.]]]]],.],.]
[4,1,2,5,6,7,3,8]=>[7,2,3,4,5,6,1,8]=>[2,7,6,5,4,3,8,1]=>[[.,[[[[[.,.],.],.],.],[.,.]]],.]
[1,4,2,5,6,7,3,8]=>[1,7,3,4,5,6,2,8]=>[8,2,6,5,4,3,7,1]=>[[[.,.],[[[[.,.],.],.],[.,.]]],.]
[1,4,5,6,7,2,3,8]=>[1,7,6,4,5,3,2,8]=>[8,2,3,5,4,6,7,1]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[4,1,2,5,6,7,8,3]=>[8,2,3,4,5,6,7,1]=>[1,7,6,5,4,3,2,8]=>[.,[[[[[[.,.],.],.],.],.],[.,.]]]
[1,4,2,5,6,7,8,3]=>[1,8,3,4,5,6,7,2]=>[8,1,6,5,4,3,2,7]=>[[.,.],[[[[[.,.],.],.],.],[.,.]]]
[1,4,5,2,6,7,8,3]=>[1,8,4,3,5,6,7,2]=>[8,1,5,6,4,3,2,7]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]
[1,4,5,6,2,7,8,3]=>[1,8,5,4,3,6,7,2]=>[8,1,4,5,6,3,2,7]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[1,4,5,6,7,2,8,3]=>[1,8,6,4,5,3,7,2]=>[8,1,3,5,4,6,2,7]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[1,4,5,6,7,8,2,3]=>[1,8,7,4,5,6,3,2]=>[8,1,2,5,4,3,6,7]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[4,1,6,2,7,3,8,5]=>[6,2,8,4,5,1,7,3]=>[3,7,1,5,4,8,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[4,6,1,7,2,3,8,5]=>[6,8,3,5,4,1,7,2]=>[3,1,6,4,5,8,2,7]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[4,6,7,1,2,3,8,5]=>[6,8,5,4,3,1,7,2]=>[3,1,4,5,6,8,2,7]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[4,6,1,2,7,8,3,5]=>[7,8,3,4,5,6,1,2]=>[2,1,6,5,4,3,8,7]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]
[4,1,6,7,2,8,3,5]=>[7,2,8,5,4,6,1,3]=>[2,7,1,4,5,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[4,6,1,7,2,8,3,5]=>[7,8,3,5,4,6,1,2]=>[2,1,6,4,5,3,8,7]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[4,6,7,1,2,8,3,5]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[4,1,6,7,8,2,3,5]=>[7,2,8,6,5,4,1,3]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[4,6,1,7,8,2,3,5]=>[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[4,6,7,8,1,2,3,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[4,1,6,2,7,3,5,8]=>[6,2,7,4,5,1,3,8]=>[3,7,2,5,4,8,6,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[4,6,1,2,7,3,5,8]=>[6,7,3,4,5,1,2,8]=>[3,2,6,5,4,8,7,1]=>[[[.,.],[[[.,.],.],[[.,.],.]]],.]
[4,6,7,1,2,3,5,8]=>[6,7,5,4,3,1,2,8]=>[3,2,4,5,6,8,7,1]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[4,1,6,2,3,7,5,8]=>[5,2,7,4,1,6,3,8]=>[4,7,2,5,8,3,6,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[4,6,1,2,3,7,5,8]=>[5,7,3,4,1,6,2,8]=>[4,2,6,5,8,3,7,1]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[4,1,2,6,3,7,5,8]=>[5,2,3,7,1,6,4,8]=>[4,7,6,2,8,3,5,1]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]
[1,4,2,6,3,7,5,8]=>[1,5,3,7,2,6,4,8]=>[8,4,6,2,7,3,5,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[4,1,2,6,7,3,5,8]=>[6,2,3,7,5,1,4,8]=>[3,7,6,2,4,8,5,1]=>[[[.,[[.,.],.]],[.,[[.,.],.]]],.]
[1,4,2,6,7,3,5,8]=>[1,6,3,7,5,2,4,8]=>[8,3,6,2,4,7,5,1]=>[[[[.,.],[.,.]],[.,[[.,.],.]]],.]
[1,4,6,2,7,3,5,8]=>[1,6,7,4,5,2,3,8]=>[8,3,2,5,4,7,6,1]=>[[[[.,.],.],[[.,.],[[.,.],.]]],.]
[4,1,6,2,3,7,8,5]=>[5,2,8,4,1,6,7,3]=>[4,7,1,5,8,3,2,6]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[4,1,2,6,3,7,8,5]=>[5,2,3,8,1,6,7,4]=>[4,7,6,1,8,3,2,5]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]
[1,4,6,2,3,7,8,5]=>[1,5,8,4,2,6,7,3]=>[8,4,1,5,7,3,2,6]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]
[4,1,2,6,7,3,8,5]=>[6,2,3,8,5,1,7,4]=>[3,7,6,1,4,8,2,5]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]
[1,4,6,2,7,3,8,5]=>[1,6,8,4,5,2,7,3]=>[8,3,1,5,4,7,2,6]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]
[1,4,6,7,2,3,8,5]=>[1,6,8,5,4,2,7,3]=>[8,3,1,4,5,7,2,6]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]
[1,4,2,6,7,8,3,5]=>[1,7,3,8,5,6,2,4]=>[8,2,6,1,4,3,7,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[1,4,6,2,7,8,3,5]=>[1,7,8,4,5,6,2,3]=>[8,2,1,5,4,3,7,6]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]
[1,4,6,7,8,2,3,5]=>[1,7,8,6,5,4,2,3]=>[8,2,1,3,4,5,7,6]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[4,1,6,2,8,3,5,7]=>[6,2,7,4,8,1,3,5]=>[3,7,2,5,1,8,6,4]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]
[4,6,1,2,8,3,5,7]=>[6,7,3,4,8,1,2,5]=>[3,2,6,5,1,8,7,4]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]
[4,1,6,8,2,3,5,7]=>[6,2,7,8,5,1,3,4]=>[3,7,2,1,4,8,6,5]=>[[[.,[.,.]],.],[.,[[[.,.],.],.]]]
[4,6,1,8,2,3,5,7]=>[6,7,3,8,5,1,2,4]=>[3,2,6,1,4,8,7,5]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]
[4,1,6,2,3,8,5,7]=>[5,2,7,4,1,8,3,6]=>[4,7,2,5,8,1,6,3]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]
[4,6,1,2,3,8,5,7]=>[5,7,3,4,1,8,2,6]=>[4,2,6,5,8,1,7,3]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]
[4,1,2,6,3,8,5,7]=>[5,2,3,7,1,8,4,6]=>[4,7,6,2,8,1,5,3]=>[[[.,[[.,.],.]],[.,.]],[[.,.],.]]
[1,4,6,2,3,8,5,7]=>[1,5,7,4,2,8,3,6]=>[8,4,2,5,7,1,6,3]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]
[1,4,2,6,8,3,5,7]=>[1,6,3,7,8,2,4,5]=>[8,3,6,2,1,7,5,4]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]
[1,4,6,2,8,3,5,7]=>[1,6,7,4,8,2,3,5]=>[8,3,2,5,1,7,6,4]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]
[1,4,6,8,2,3,5,7]=>[1,6,7,8,5,2,3,4]=>[8,3,2,1,4,7,6,5]=>[[[[.,.],.],.],[.,[[[.,.],.],.]]]
[4,6,1,2,3,5,8,7]=>[5,6,3,4,1,2,8,7]=>[4,3,6,5,8,7,1,2]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]
[4,1,2,6,3,5,8,7]=>[5,2,3,6,1,4,8,7]=>[4,7,6,3,8,5,1,2]=>[[[.,[[.,.],.]],[[.,.],.]],[.,.]]
[1,4,2,6,3,5,8,7]=>[1,5,3,6,2,4,8,7]=>[8,4,6,3,7,5,1,2]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]
[4,1,2,3,6,5,8,7]=>[4,2,3,1,6,5,8,7]=>[5,7,6,8,3,4,1,2]=>[[[.,[[.,.],[.,.]]],[.,.]],[.,.]]
[1,4,2,3,6,5,8,7]=>[1,4,3,2,6,5,8,7]=>[8,5,6,7,3,4,1,2]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]
[1,2,4,6,3,5,8,7]=>[1,2,5,6,3,4,8,7]=>[8,7,4,3,6,5,1,2]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]
[4,1,2,3,6,8,5,7]=>[4,2,3,1,7,8,5,6]=>[5,7,6,8,2,1,4,3]=>[[[.,[[.,.],[.,.]]],.],[[.,.],.]]
[1,2,4,3,6,8,5,7]=>[1,2,4,3,7,8,5,6]=>[8,7,5,6,2,1,4,3]=>[[[[[.,.],.],[.,.]],.],[[.,.],.]]
[1,2,4,6,3,8,5,7]=>[1,2,5,7,3,8,4,6]=>[8,7,4,2,6,1,5,3]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]
[1,2,4,6,8,3,5,7]=>[1,2,6,7,8,3,4,5]=>[8,7,3,2,1,6,5,4]=>[[[[[.,.],.],.],.],[[[.,.],.],.]]
[4,1,6,2,3,5,7,8]=>[5,2,6,4,1,3,7,8]=>[4,7,3,5,8,6,2,1]=>[[[[.,[.,.]],[.,[[.,.],.]]],.],.]
[4,6,1,2,3,5,7,8]=>[5,6,3,4,1,2,7,8]=>[4,3,6,5,8,7,2,1]=>[[[[.,.],[[.,.],[[.,.],.]]],.],.]
[4,1,2,6,3,5,7,8]=>[5,2,3,6,1,4,7,8]=>[4,7,6,3,8,5,2,1]=>[[[[.,[[.,.],.]],[[.,.],.]],.],.]
[1,4,2,6,3,5,7,8]=>[1,5,3,6,2,4,7,8]=>[8,4,6,3,7,5,2,1]=>[[[[[.,.],[.,.]],[[.,.],.]],.],.]
[1,4,6,2,3,5,7,8]=>[1,5,6,4,2,3,7,8]=>[8,4,3,5,7,6,2,1]=>[[[[[.,.],.],[.,[[.,.],.]]],.],.]
[4,1,2,3,6,5,7,8]=>[4,2,3,1,6,5,7,8]=>[5,7,6,8,3,4,2,1]=>[[[[.,[[.,.],[.,.]]],[.,.]],.],.]
[1,4,2,3,6,5,7,8]=>[1,4,3,2,6,5,7,8]=>[8,5,6,7,3,4,2,1]=>[[[[[.,.],[.,[.,.]]],[.,.]],.],.]
[1,2,4,6,3,5,7,8]=>[1,2,5,6,3,4,7,8]=>[8,7,4,3,6,5,2,1]=>[[[[[[.,.],.],.],[[.,.],.]],.],.]
[4,1,2,3,6,7,5,8]=>[4,2,3,1,7,6,5,8]=>[5,7,6,8,2,3,4,1]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[1,4,2,3,6,7,5,8]=>[1,4,3,2,7,6,5,8]=>[8,5,6,7,2,3,4,1]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]
[1,2,4,6,3,7,5,8]=>[1,2,5,7,3,6,4,8]=>[8,7,4,2,6,3,5,1]=>[[[[[.,.],.],.],[[.,.],[.,.]]],.]
[1,2,4,6,7,3,5,8]=>[1,2,6,7,5,3,4,8]=>[8,7,3,2,4,6,5,1]=>[[[[[.,.],.],.],[.,[[.,.],.]]],.]
[4,1,2,3,6,7,8,5]=>[4,2,3,1,8,6,7,5]=>[5,7,6,8,1,3,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[1,4,2,3,6,7,8,5]=>[1,4,3,2,8,6,7,5]=>[8,5,6,7,1,3,2,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[1,2,4,6,3,7,8,5]=>[1,2,5,8,3,6,7,4]=>[8,7,4,1,6,3,2,5]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]
[1,2,4,6,7,3,8,5]=>[1,2,6,8,5,3,7,4]=>[8,7,3,1,4,6,2,5]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]
[1,2,4,6,7,8,3,5]=>[1,2,7,8,5,6,3,4]=>[8,7,2,1,4,3,6,5]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]
[4,1,7,2,8,3,5,6]=>[6,2,8,4,7,1,5,3]=>[3,7,1,5,2,8,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[4,7,1,2,8,3,5,6]=>[6,8,3,4,7,1,5,2]=>[3,1,6,5,2,8,4,7]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[4,1,7,8,2,3,5,6]=>[6,2,8,7,5,1,4,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[4,7,1,8,2,3,5,6]=>[6,8,3,7,5,1,4,2]=>[3,1,6,2,4,8,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[4,1,7,2,3,8,5,6]=>[5,2,8,4,1,7,6,3]=>[4,7,1,5,8,2,3,6]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[4,7,1,2,3,8,5,6]=>[5,8,3,4,1,7,6,2]=>[4,1,6,5,8,2,3,7]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[1,4,2,7,3,8,5,6]=>[1,5,3,8,2,7,6,4]=>[8,4,6,1,7,2,3,5]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[1,4,7,2,3,8,5,6]=>[1,5,8,4,2,7,6,3]=>[8,4,1,5,7,2,3,6]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]
[4,1,2,7,8,3,5,6]=>[6,2,3,8,7,1,5,4]=>[3,7,6,1,2,8,4,5]=>[[.,[[.,.],.]],[.,[[.,.],[.,.]]]]
[1,4,2,7,8,3,5,6]=>[1,6,3,8,7,2,5,4]=>[8,3,6,1,2,7,4,5]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]
[1,4,7,2,8,3,5,6]=>[1,6,8,4,7,2,5,3]=>[8,3,1,5,2,7,4,6]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[1,4,7,8,2,3,5,6]=>[1,6,8,7,5,2,4,3]=>[8,3,1,2,4,7,5,6]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]
[4,1,7,2,3,5,8,6]=>[5,2,8,4,1,6,7,3]=>[4,7,1,5,8,3,2,6]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[4,7,1,2,3,5,8,6]=>[5,8,3,4,1,6,7,2]=>[4,1,6,5,8,3,2,7]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]
[4,1,2,7,3,5,8,6]=>[5,2,3,8,1,6,7,4]=>[4,7,6,1,8,3,2,5]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]
[1,4,2,7,3,5,8,6]=>[1,5,3,8,2,6,7,4]=>[8,4,6,1,7,3,2,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[1,4,7,2,3,5,8,6]=>[1,5,8,4,2,6,7,3]=>[8,4,1,5,7,3,2,6]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]
[4,1,2,3,7,5,8,6]=>[4,2,3,1,8,6,7,5]=>[5,7,6,8,1,3,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[1,4,2,3,7,5,8,6]=>[1,4,3,2,8,6,7,5]=>[8,5,6,7,1,3,2,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[1,2,4,7,3,5,8,6]=>[1,2,5,8,3,6,7,4]=>[8,7,4,1,6,3,2,5]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]
[4,1,2,3,7,8,5,6]=>[4,2,3,1,8,7,6,5]=>[5,7,6,8,1,2,3,4]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]
[1,4,2,3,7,8,5,6]=>[1,4,3,2,8,7,6,5]=>[8,5,6,7,1,2,3,4]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]
[1,2,4,3,7,8,5,6]=>[1,2,4,3,8,7,6,5]=>[8,7,5,6,1,2,3,4]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]
[1,2,4,7,3,8,5,6]=>[1,2,5,8,3,7,6,4]=>[8,7,4,1,6,2,3,5]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]
[1,2,4,7,8,3,5,6]=>[1,2,6,8,7,3,5,4]=>[8,7,3,1,2,6,4,5]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]
[4,1,7,2,3,5,6,8]=>[5,2,7,4,1,6,3,8]=>[4,7,2,5,8,3,6,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[4,7,1,2,3,5,6,8]=>[5,7,3,4,1,6,2,8]=>[4,2,6,5,8,3,7,1]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[4,1,2,7,3,5,6,8]=>[5,2,3,7,1,6,4,8]=>[4,7,6,2,8,3,5,1]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]
[1,4,2,7,3,5,6,8]=>[1,5,3,7,2,6,4,8]=>[8,4,6,2,7,3,5,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[1,4,7,2,3,5,6,8]=>[1,5,7,4,2,6,3,8]=>[8,4,2,5,7,3,6,1]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]
[4,1,2,3,7,5,6,8]=>[4,2,3,1,7,6,5,8]=>[5,7,6,8,2,3,4,1]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[1,4,2,3,7,5,6,8]=>[1,4,3,2,7,6,5,8]=>[8,5,6,7,2,3,4,1]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]
[1,2,4,3,7,5,6,8]=>[1,2,4,3,7,6,5,8]=>[8,7,5,6,2,3,4,1]=>[[[[[.,.],.],[.,.]],[.,[.,.]]],.]
[1,2,4,7,3,5,6,8]=>[1,2,5,7,3,6,4,8]=>[8,7,4,2,6,3,5,1]=>[[[[[.,.],.],.],[[.,.],[.,.]]],.]
[4,1,2,3,5,7,6,8]=>[4,2,3,1,5,7,6,8]=>[5,7,6,8,4,2,3,1]=>[[[[.,[[.,.],[.,.]]],.],[.,.]],.]
[1,4,2,3,5,7,6,8]=>[1,4,3,2,5,7,6,8]=>[8,5,6,7,4,2,3,1]=>[[[[[.,.],[.,[.,.]]],.],[.,.]],.]
[4,1,2,3,5,7,8,6]=>[4,2,3,1,5,8,7,6]=>[5,7,6,8,4,1,2,3]=>[[[.,[[.,.],[.,.]]],.],[.,[.,.]]]
[1,4,2,3,5,7,8,6]=>[1,4,3,2,5,8,7,6]=>[8,5,6,7,4,1,2,3]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]
[1,2,4,5,7,3,8,6]=>[1,2,6,4,8,3,7,5]=>[8,7,3,5,1,6,2,4]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]
[1,2,4,5,7,8,3,6]=>[1,2,7,4,8,6,3,5]=>[8,7,2,5,1,3,6,4]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]
[4,1,8,2,3,5,6,7]=>[5,2,8,4,1,6,7,3]=>[4,7,1,5,8,3,2,6]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[4,8,1,2,3,5,6,7]=>[5,8,3,4,1,6,7,2]=>[4,1,6,5,8,3,2,7]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]
[4,1,2,8,3,5,6,7]=>[5,2,3,8,1,6,7,4]=>[4,7,6,1,8,3,2,5]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]
[1,4,2,8,3,5,6,7]=>[1,5,3,8,2,6,7,4]=>[8,4,6,1,7,3,2,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[1,4,8,2,3,5,6,7]=>[1,5,8,4,2,6,7,3]=>[8,4,1,5,7,3,2,6]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]
[4,1,2,3,8,5,6,7]=>[4,2,3,1,8,6,7,5]=>[5,7,6,8,1,3,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[1,4,2,3,8,5,6,7]=>[1,4,3,2,8,6,7,5]=>[8,5,6,7,1,3,2,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[1,2,4,8,3,5,6,7]=>[1,2,5,8,3,6,7,4]=>[8,7,4,1,6,3,2,5]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]
[4,1,2,3,5,8,6,7]=>[4,2,3,1,5,8,7,6]=>[5,7,6,8,4,1,2,3]=>[[[.,[[.,.],[.,.]]],.],[.,[.,.]]]
[1,4,2,3,5,8,6,7]=>[1,4,3,2,5,8,7,6]=>[8,5,6,7,4,1,2,3]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]
[1,2,4,5,3,8,6,7]=>[1,2,5,4,3,8,7,6]=>[8,7,4,5,6,1,2,3]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]
[1,2,4,5,8,3,6,7]=>[1,2,6,4,8,3,7,5]=>[8,7,3,5,1,6,2,4]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]
[1,4,2,3,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>[8,5,6,7,4,3,2,1]=>[[[[[[.,.],[.,[.,.]]],.],.],.],.]
[5,1,6,2,7,3,8,4]=>[8,2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[5,6,1,2,7,3,8,4]=>[8,6,3,4,5,2,7,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[5,1,6,7,2,3,8,4]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[5,6,7,1,2,3,8,4]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,1,6,2,7,8,3,4]=>[8,2,7,4,5,6,3,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[5,6,1,2,7,8,3,4]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[5,1,6,7,2,8,3,4]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[5,6,7,1,2,8,3,4]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,1,6,7,8,2,3,4]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,6,1,7,8,2,3,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,6,7,1,8,2,3,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,1,6,2,7,3,4,8]=>[7,2,6,4,5,3,1,8]=>[2,7,3,5,4,6,8,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[5,6,1,2,7,3,4,8]=>[7,6,3,4,5,2,1,8]=>[2,3,6,5,4,7,8,1]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[5,6,1,7,2,3,4,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[5,1,6,2,3,7,4,8]=>[7,2,5,4,3,6,1,8]=>[2,7,4,5,6,3,8,1]=>[[.,[[[.,.],[.,[.,.]]],[.,.]]],.]
[5,1,2,6,3,7,4,8]=>[7,2,3,5,4,6,1,8]=>[2,7,6,4,5,3,8,1]=>[[.,[[[[.,.],.],[.,.]],[.,.]]],.]
[1,5,2,6,3,7,4,8]=>[1,7,3,5,4,6,2,8]=>[8,2,6,4,5,3,7,1]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[5,1,2,6,7,3,4,8]=>[7,2,3,6,5,4,1,8]=>[2,7,6,3,4,5,8,1]=>[[.,[[[.,.],.],[.,[.,[.,.]]]]],.]
[1,5,2,6,7,3,4,8]=>[1,7,3,6,5,4,2,8]=>[8,2,6,3,4,5,7,1]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[1,5,6,2,7,3,4,8]=>[1,7,6,4,5,3,2,8]=>[8,2,3,5,4,6,7,1]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[1,5,6,7,2,3,4,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[5,1,2,6,3,7,8,4]=>[8,2,3,5,4,6,7,1]=>[1,7,6,4,5,3,2,8]=>[.,[[[[[.,.],.],[.,.]],.],[.,.]]]
[1,5,2,6,3,7,8,4]=>[1,8,3,5,4,6,7,2]=>[8,1,6,4,5,3,2,7]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]
[1,5,6,2,3,7,8,4]=>[1,8,5,4,3,6,7,2]=>[8,1,4,5,6,3,2,7]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[5,1,2,6,7,3,8,4]=>[8,2,3,6,5,4,7,1]=>[1,7,6,3,4,5,2,8]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[5,1,2,6,7,8,3,4]=>[8,2,3,7,5,6,4,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[1,5,2,6,7,8,3,4]=>[1,8,3,7,5,6,4,2]=>[8,1,6,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,5,6,2,7,8,3,4]=>[1,8,7,4,5,6,3,2]=>[8,1,2,5,4,3,6,7]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[1,5,6,7,2,8,3,4]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,5,6,7,8,2,3,4]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,1,2,8,3,4,7]=>[7,6,3,4,8,2,1,5]=>[2,3,6,5,1,7,8,4]=>[[.,[.,[[.,.],.]]],[[.,[.,.]],.]]
[5,6,1,8,2,3,4,7]=>[7,6,3,8,5,2,1,4]=>[2,3,6,1,4,7,8,5]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[5,1,6,2,3,8,4,7]=>[7,2,5,4,3,8,1,6]=>[2,7,4,5,6,1,8,3]=>[[.,[[.,.],[.,[.,.]]]],[[.,.],.]]
[5,1,2,6,3,8,4,7]=>[7,2,3,5,4,8,1,6]=>[2,7,6,4,5,1,8,3]=>[[.,[[[.,.],.],[.,.]]],[[.,.],.]]
[1,5,2,6,3,8,4,7]=>[1,7,3,5,4,8,2,6]=>[8,2,6,4,5,1,7,3]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]
[5,1,2,6,8,3,4,7]=>[7,2,3,6,8,4,1,5]=>[2,7,6,3,1,5,8,4]=>[[.,[[[.,.],.],.]],[[.,[.,.]],.]]
[1,5,2,6,8,3,4,7]=>[1,7,3,6,8,4,2,5]=>[8,2,6,3,1,5,7,4]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]]
[1,5,6,2,8,3,4,7]=>[1,7,6,4,8,3,2,5]=>[8,2,3,5,1,6,7,4]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]
[5,1,6,2,3,4,8,7]=>[6,2,5,4,3,1,8,7]=>[3,7,4,5,6,8,1,2]=>[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]
[1,5,6,2,3,4,8,7]=>[1,6,5,4,3,2,8,7]=>[8,3,4,5,6,7,1,2]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]
[1,2,5,6,3,4,8,7]=>[1,2,6,5,4,3,8,7]=>[8,7,3,4,5,6,1,2]=>[[[[.,.],.],[.,[.,[.,.]]]],[.,.]]
[1,2,5,6,3,8,4,7]=>[1,2,7,5,4,8,3,6]=>[8,7,2,4,5,1,6,3]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]
[1,2,5,6,8,3,4,7]=>[1,2,7,6,8,4,3,5]=>[8,7,2,3,1,5,6,4]=>[[[[.,.],.],[.,.]],[[.,[.,.]],.]]
[5,1,2,6,3,4,7,8]=>[6,2,3,5,4,1,7,8]=>[3,7,6,4,5,8,2,1]=>[[[.,[[[.,.],.],[.,[.,.]]]],.],.]
[1,5,6,2,3,4,7,8]=>[1,6,5,4,3,2,7,8]=>[8,3,4,5,6,7,2,1]=>[[[[.,.],[.,[.,[.,[.,.]]]]],.],.]
[5,1,2,3,6,4,7,8]=>[6,2,3,4,5,1,7,8]=>[3,7,6,5,4,8,2,1]=>[[[.,[[[[.,.],.],.],[.,.]]],.],.]
[1,5,2,3,6,4,7,8]=>[1,6,3,4,5,2,7,8]=>[8,3,6,5,4,7,2,1]=>[[[[.,.],[[[.,.],.],[.,.]]],.],.]
[1,2,5,3,6,4,7,8]=>[1,2,6,4,5,3,7,8]=>[8,7,3,5,4,6,2,1]=>[[[[[.,.],.],[[.,.],[.,.]]],.],.]
[1,2,5,6,3,4,7,8]=>[1,2,6,5,4,3,7,8]=>[8,7,3,4,5,6,2,1]=>[[[[[.,.],.],[.,[.,[.,.]]]],.],.]
[5,1,2,3,6,7,4,8]=>[7,2,3,4,5,6,1,8]=>[2,7,6,5,4,3,8,1]=>[[.,[[[[[.,.],.],.],.],[.,.]]],.]
[1,5,2,3,6,7,4,8]=>[1,7,3,4,5,6,2,8]=>[8,2,6,5,4,3,7,1]=>[[[.,.],[[[[.,.],.],.],[.,.]]],.]
[1,2,5,3,6,7,4,8]=>[1,2,7,4,5,6,3,8]=>[8,7,2,5,4,3,6,1]=>[[[[.,.],.],[[[.,.],.],[.,.]]],.]
[1,2,5,6,3,7,4,8]=>[1,2,7,5,4,6,3,8]=>[8,7,2,4,5,3,6,1]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]
[5,1,2,3,6,7,8,4]=>[8,2,3,4,5,6,7,1]=>[1,7,6,5,4,3,2,8]=>[.,[[[[[[.,.],.],.],.],.],[.,.]]]
[1,5,2,3,6,7,8,4]=>[1,8,3,4,5,6,7,2]=>[8,1,6,5,4,3,2,7]=>[[.,.],[[[[[.,.],.],.],.],[.,.]]]
[1,2,5,6,3,7,8,4]=>[1,2,8,5,4,6,7,3]=>[8,7,1,4,5,3,2,6]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]
[1,2,5,6,7,3,8,4]=>[1,2,8,6,5,4,7,3]=>[8,7,1,3,4,5,2,6]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]
[1,2,5,6,7,8,3,4]=>[1,2,8,7,5,6,4,3]=>[8,7,1,2,4,3,5,6]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[5,1,7,2,8,3,4,6]=>[7,2,8,4,6,5,1,3]=>[2,7,1,5,3,4,8,6]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[5,7,1,2,8,3,4,6]=>[7,8,3,4,6,5,1,2]=>[2,1,6,5,3,4,8,7]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]
[5,1,7,8,2,3,4,6]=>[7,2,8,6,5,4,1,3]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[5,7,1,8,2,3,4,6]=>[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[5,1,7,2,3,8,4,6]=>[7,2,8,4,5,6,1,3]=>[2,7,1,5,4,3,8,6]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[5,7,1,2,3,8,4,6]=>[7,8,3,4,5,6,1,2]=>[2,1,6,5,4,3,8,7]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]
[5,1,2,7,3,8,4,6]=>[7,2,3,8,5,6,1,4]=>[2,7,6,1,4,3,8,5]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[1,5,2,7,3,8,4,6]=>[1,7,3,8,5,6,2,4]=>[8,2,6,1,4,3,7,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[1,5,7,2,3,8,4,6]=>[1,7,8,4,5,6,2,3]=>[8,2,1,5,4,3,7,6]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]
[5,1,2,7,8,3,4,6]=>[7,2,3,8,6,5,1,4]=>[2,7,6,1,3,4,8,5]=>[[.,[[.,.],.]],[.,[.,[[.,.],.]]]]
[1,5,7,8,2,3,4,6]=>[1,7,8,6,5,4,2,3]=>[8,2,1,3,4,5,7,6]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[5,1,7,2,3,4,8,6]=>[6,2,8,4,5,1,7,3]=>[3,7,1,5,4,8,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[5,7,1,2,3,4,8,6]=>[6,8,3,4,5,1,7,2]=>[3,1,6,5,4,8,2,7]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]
[5,1,2,7,3,4,8,6]=>[6,2,3,8,5,1,7,4]=>[3,7,6,1,4,8,2,5]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]
[1,5,2,7,3,4,8,6]=>[1,6,3,8,5,2,7,4]=>[8,3,6,1,4,7,2,5]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[1,5,7,2,3,4,8,6]=>[1,6,8,4,5,2,7,3]=>[8,3,1,5,4,7,2,6]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]
[5,1,2,3,7,4,8,6]=>[6,2,3,4,8,1,7,5]=>[3,7,6,5,1,8,2,4]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]
[1,5,2,3,7,4,8,6]=>[1,6,3,4,8,2,7,5]=>[8,3,6,5,1,7,2,4]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]
[1,2,5,3,7,4,8,6]=>[1,2,6,4,8,3,7,5]=>[8,7,3,5,1,6,2,4]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]
[1,2,5,7,3,4,8,6]=>[1,2,6,8,5,3,7,4]=>[8,7,3,1,4,6,2,5]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]
[5,1,2,3,7,8,4,6]=>[7,2,3,4,8,6,1,5]=>[2,7,6,5,1,3,8,4]=>[[.,[[[.,.],.],.]],[.,[[.,.],.]]]
[1,5,2,3,7,8,4,6]=>[1,7,3,4,8,6,2,5]=>[8,2,6,5,1,3,7,4]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]
[1,2,5,3,7,8,4,6]=>[1,2,7,4,8,6,3,5]=>[8,7,2,5,1,3,6,4]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]
[1,2,5,7,3,8,4,6]=>[1,2,7,8,5,6,3,4]=>[8,7,2,1,4,3,6,5]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]
[1,2,5,7,8,3,4,6]=>[1,2,7,8,6,5,3,4]=>[8,7,2,1,3,4,6,5]=>[[[[.,.],.],.],[.,[.,[[.,.],.]]]]
[5,1,7,2,3,4,6,8]=>[6,2,7,4,5,1,3,8]=>[3,7,2,5,4,8,6,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[5,7,1,2,3,4,6,8]=>[6,7,3,4,5,1,2,8]=>[3,2,6,5,4,8,7,1]=>[[[.,.],[[[.,.],.],[[.,.],.]]],.]
[5,1,2,7,3,4,6,8]=>[6,2,3,7,5,1,4,8]=>[3,7,6,2,4,8,5,1]=>[[[.,[[.,.],.]],[.,[[.,.],.]]],.]
[1,5,2,7,3,4,6,8]=>[1,6,3,7,5,2,4,8]=>[8,3,6,2,4,7,5,1]=>[[[[.,.],[.,.]],[.,[[.,.],.]]],.]
[1,5,7,2,3,4,6,8]=>[1,6,7,4,5,2,3,8]=>[8,3,2,5,4,7,6,1]=>[[[[.,.],.],[[.,.],[[.,.],.]]],.]
[1,2,5,7,3,4,6,8]=>[1,2,6,7,5,3,4,8]=>[8,7,3,2,4,6,5,1]=>[[[[[.,.],.],.],[.,[[.,.],.]]],.]
[1,5,2,3,4,7,6,8]=>[1,5,3,4,2,7,6,8]=>[8,4,6,5,7,2,3,1]=>[[[[.,.],[[.,.],[.,.]]],[.,.]],.]
[1,2,5,3,4,7,6,8]=>[1,2,5,4,3,7,6,8]=>[8,7,4,5,6,2,3,1]=>[[[[[.,.],.],[.,[.,.]]],[.,.]],.]
[1,2,3,5,7,4,6,8]=>[1,2,3,6,7,4,5,8]=>[8,7,6,3,2,5,4,1]=>[[[[[[.,.],.],.],.],[[.,.],.]],.]
[5,1,2,3,4,7,8,6]=>[5,2,3,4,1,8,7,6]=>[4,7,6,5,8,1,2,3]=>[[.,[[[.,.],.],[.,.]]],[.,[.,.]]]
[1,5,2,3,4,7,8,6]=>[1,5,3,4,2,8,7,6]=>[8,4,6,5,7,1,2,3]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]
[1,2,5,3,4,7,8,6]=>[1,2,5,4,3,8,7,6]=>[8,7,4,5,6,1,2,3]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]
[1,2,3,5,7,4,8,6]=>[1,2,3,6,8,4,7,5]=>[8,7,6,3,1,5,2,4]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]
[5,1,8,2,3,4,6,7]=>[6,2,8,4,5,1,7,3]=>[3,7,1,5,4,8,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[5,8,1,2,3,4,6,7]=>[6,8,3,4,5,1,7,2]=>[3,1,6,5,4,8,2,7]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]
[5,1,2,8,3,4,6,7]=>[6,2,3,8,5,1,7,4]=>[3,7,6,1,4,8,2,5]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]
[1,5,2,8,3,4,6,7]=>[1,6,3,8,5,2,7,4]=>[8,3,6,1,4,7,2,5]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[1,5,8,2,3,4,6,7]=>[1,6,8,4,5,2,7,3]=>[8,3,1,5,4,7,2,6]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]
[5,1,2,3,8,4,6,7]=>[6,2,3,4,8,1,7,5]=>[3,7,6,5,1,8,2,4]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]
[1,5,2,3,8,4,6,7]=>[1,6,3,4,8,2,7,5]=>[8,3,6,5,1,7,2,4]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]
[1,2,5,3,8,4,6,7]=>[1,2,6,4,8,3,7,5]=>[8,7,3,5,1,6,2,4]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]
[1,2,5,8,3,4,6,7]=>[1,2,6,8,5,3,7,4]=>[8,7,3,1,4,6,2,5]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]
[5,1,2,3,4,8,6,7]=>[5,2,3,4,1,8,7,6]=>[4,7,6,5,8,1,2,3]=>[[.,[[[.,.],.],[.,.]]],[.,[.,.]]]
[1,5,2,3,4,8,6,7]=>[1,5,3,4,2,8,7,6]=>[8,4,6,5,7,1,2,3]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]
[1,2,5,3,4,8,6,7]=>[1,2,5,4,3,8,7,6]=>[8,7,4,5,6,1,2,3]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]
[1,2,3,5,4,8,6,7]=>[1,2,3,5,4,8,7,6]=>[8,7,6,4,5,1,2,3]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]
[1,2,3,5,8,4,6,7]=>[1,2,3,6,8,4,7,5]=>[8,7,6,3,1,5,2,4]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]
[1,2,5,3,4,6,7,8]=>[1,2,5,4,3,6,7,8]=>[8,7,4,5,6,3,2,1]=>[[[[[[.,.],.],[.,[.,.]]],.],.],.]
[6,1,7,2,8,3,4,5]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,1,7,8,2,3,4,5]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,7,1,8,2,3,4,5]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,1,7,2,3,8,4,5]=>[8,2,7,4,5,6,3,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[6,7,1,2,3,8,4,5]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[6,1,2,7,3,8,4,5]=>[8,2,3,7,5,6,4,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[1,6,2,7,3,8,4,5]=>[1,8,3,7,5,6,4,2]=>[8,1,6,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,6,7,2,3,8,4,5]=>[1,8,7,4,5,6,3,2]=>[8,1,2,5,4,3,6,7]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[6,1,2,7,8,3,4,5]=>[8,2,3,7,6,5,4,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[1,6,2,7,8,3,4,5]=>[1,8,3,7,6,5,4,2]=>[8,1,6,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,6,7,2,8,3,4,5]=>[1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,6,7,8,2,3,4,5]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,1,7,2,3,4,8,5]=>[8,2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[6,7,1,2,3,4,8,5]=>[8,6,3,4,5,2,7,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[6,1,2,7,3,4,8,5]=>[8,2,3,6,5,4,7,1]=>[1,7,6,3,4,5,2,8]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[1,6,2,7,3,4,8,5]=>[1,8,3,6,5,4,7,2]=>[8,1,6,3,4,5,2,7]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[1,6,7,2,3,4,8,5]=>[1,8,6,4,5,3,7,2]=>[8,1,3,5,4,6,2,7]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[1,2,6,7,3,4,8,5]=>[1,2,8,6,5,4,7,3]=>[8,7,1,3,4,5,2,6]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]
[1,6,2,3,7,8,4,5]=>[1,8,3,4,7,6,5,2]=>[8,1,6,5,2,3,4,7]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[1,2,6,3,7,8,4,5]=>[1,2,8,4,7,6,5,3]=>[8,7,1,5,2,3,4,6]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[1,2,6,7,3,8,4,5]=>[1,2,8,7,5,6,4,3]=>[8,7,1,2,4,3,5,6]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[1,2,6,7,8,3,4,5]=>[1,2,8,7,6,5,4,3]=>[8,7,1,2,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[6,1,7,2,3,4,5,8]=>[7,2,6,4,5,3,1,8]=>[2,7,3,5,4,6,8,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[6,1,2,7,3,4,5,8]=>[7,2,3,6,5,4,1,8]=>[2,7,6,3,4,5,8,1]=>[[.,[[[.,.],.],[.,[.,[.,.]]]]],.]
[1,6,2,7,3,4,5,8]=>[1,7,3,6,5,4,2,8]=>[8,2,6,3,4,5,7,1]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[1,6,7,2,3,4,5,8]=>[1,7,6,4,5,3,2,8]=>[8,2,3,5,4,6,7,1]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[6,1,2,3,7,4,5,8]=>[7,2,3,4,6,5,1,8]=>[2,7,6,5,3,4,8,1]=>[[.,[[[[.,.],.],.],[.,[.,.]]]],.]
[1,2,6,7,3,4,5,8]=>[1,2,7,6,5,4,3,8]=>[8,7,2,3,4,5,6,1]=>[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]
[6,1,2,3,4,7,5,8]=>[7,2,3,4,5,6,1,8]=>[2,7,6,5,4,3,8,1]=>[[.,[[[[[.,.],.],.],.],[.,.]]],.]
[1,6,2,3,4,7,5,8]=>[1,7,3,4,5,6,2,8]=>[8,2,6,5,4,3,7,1]=>[[[.,.],[[[[.,.],.],.],[.,.]]],.]
[1,2,6,3,4,7,5,8]=>[1,2,7,4,5,6,3,8]=>[8,7,2,5,4,3,6,1]=>[[[[.,.],.],[[[.,.],.],[.,.]]],.]
[1,2,3,6,7,4,5,8]=>[1,2,3,7,6,5,4,8]=>[8,7,6,2,3,4,5,1]=>[[[[[.,.],.],.],[.,[.,[.,.]]]],.]
[6,1,2,3,4,7,8,5]=>[8,2,3,4,5,6,7,1]=>[1,7,6,5,4,3,2,8]=>[.,[[[[[[.,.],.],.],.],.],[.,.]]]
[1,6,2,3,4,7,8,5]=>[1,8,3,4,5,6,7,2]=>[8,1,6,5,4,3,2,7]=>[[.,.],[[[[[.,.],.],.],.],[.,.]]]
[1,2,3,6,4,7,8,5]=>[1,2,3,8,5,6,7,4]=>[8,7,6,1,4,3,2,5]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]
[1,2,3,6,7,4,8,5]=>[1,2,3,8,6,5,7,4]=>[8,7,6,1,3,4,2,5]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]
[1,2,3,6,7,8,4,5]=>[1,2,3,8,7,6,5,4]=>[8,7,6,1,2,3,4,5]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[6,1,8,2,3,4,5,7]=>[7,2,8,4,5,6,1,3]=>[2,7,1,5,4,3,8,6]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[6,8,1,2,3,4,5,7]=>[7,8,3,4,5,6,1,2]=>[2,1,6,5,4,3,8,7]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]
[6,1,2,8,3,4,5,7]=>[7,2,3,8,5,6,1,4]=>[2,7,6,1,4,3,8,5]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[1,6,2,8,3,4,5,7]=>[1,7,3,8,5,6,2,4]=>[8,2,6,1,4,3,7,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[1,6,8,2,3,4,5,7]=>[1,7,8,4,5,6,2,3]=>[8,2,1,5,4,3,7,6]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]
[6,1,2,3,8,4,5,7]=>[7,2,3,4,8,6,1,5]=>[2,7,6,5,1,3,8,4]=>[[.,[[[.,.],.],.]],[.,[[.,.],.]]]
[1,6,2,3,8,4,5,7]=>[1,7,3,4,8,6,2,5]=>[8,2,6,5,1,3,7,4]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]
[1,2,6,3,8,4,5,7]=>[1,2,7,4,8,6,3,5]=>[8,7,2,5,1,3,6,4]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]
[1,2,6,8,3,4,5,7]=>[1,2,7,8,5,6,3,4]=>[8,7,2,1,4,3,6,5]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]
[1,2,3,6,4,5,8,7]=>[1,2,3,6,5,4,8,7]=>[8,7,6,3,4,5,1,2]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]
[1,2,3,4,6,8,5,7]=>[1,2,3,4,7,8,5,6]=>[8,7,6,5,2,1,4,3]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]
[1,6,2,3,4,5,7,8]=>[1,6,3,4,5,2,7,8]=>[8,3,6,5,4,7,2,1]=>[[[[.,.],[[[.,.],.],[.,.]]],.],.]
[1,2,6,3,4,5,7,8]=>[1,2,6,4,5,3,7,8]=>[8,7,3,5,4,6,2,1]=>[[[[[.,.],.],[[.,.],[.,.]]],.],.]
[1,2,3,6,4,5,7,8]=>[1,2,3,6,5,4,7,8]=>[8,7,6,3,4,5,2,1]=>[[[[[[.,.],.],.],[.,[.,.]]],.],.]
[7,1,8,2,3,4,5,6]=>[8,2,7,4,5,6,3,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[7,1,2,8,3,4,5,6]=>[8,2,3,7,5,6,4,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[1,7,2,8,3,4,5,6]=>[1,8,3,7,5,6,4,2]=>[8,1,6,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,7,8,2,3,4,5,6]=>[1,8,7,4,5,6,3,2]=>[8,1,2,5,4,3,6,7]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[1,7,2,3,8,4,5,6]=>[1,8,3,4,7,6,5,2]=>[8,1,6,5,2,3,4,7]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[1,2,7,3,8,4,5,6]=>[1,2,8,4,7,6,5,3]=>[8,7,1,5,2,3,4,6]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[1,2,7,8,3,4,5,6]=>[1,2,8,7,5,6,4,3]=>[8,7,1,2,4,3,5,6]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[7,1,2,3,4,8,5,6]=>[8,2,3,4,5,7,6,1]=>[1,7,6,5,4,2,3,8]=>[.,[[[[[.,.],.],.],.],[.,[.,.]]]]
[1,2,7,3,4,8,5,6]=>[1,2,8,4,5,7,6,3]=>[8,7,1,5,4,2,3,6]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]
[1,2,3,7,4,8,5,6]=>[1,2,3,8,5,7,6,4]=>[8,7,6,1,4,2,3,5]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]
[1,2,3,7,8,4,5,6]=>[1,2,3,8,7,6,5,4]=>[8,7,6,1,2,3,4,5]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[7,1,2,3,4,5,8,6]=>[8,2,3,4,5,6,7,1]=>[1,7,6,5,4,3,2,8]=>[.,[[[[[[.,.],.],.],.],.],[.,.]]]
[1,7,2,3,4,5,8,6]=>[1,8,3,4,5,6,7,2]=>[8,1,6,5,4,3,2,7]=>[[.,.],[[[[[.,.],.],.],.],[.,.]]]
[1,2,3,7,4,5,8,6]=>[1,2,3,8,5,6,7,4]=>[8,7,6,1,4,3,2,5]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]
[1,2,3,4,7,5,8,6]=>[1,2,3,4,8,6,7,5]=>[8,7,6,5,1,3,2,4]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]
[1,2,3,4,7,8,5,6]=>[1,2,3,4,8,7,6,5]=>[8,7,6,5,1,2,3,4]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]
[1,7,2,3,4,5,6,8]=>[1,7,3,4,5,6,2,8]=>[8,2,6,5,4,3,7,1]=>[[[.,.],[[[[.,.],.],.],[.,.]]],.]
[1,2,7,3,4,5,6,8]=>[1,2,7,4,5,6,3,8]=>[8,7,2,5,4,3,6,1]=>[[[[.,.],.],[[[.,.],.],[.,.]]],.]
[1,2,3,4,7,5,6,8]=>[1,2,3,4,7,6,5,8]=>[8,7,6,5,2,3,4,1]=>[[[[[[.,.],.],.],.],[.,[.,.]]],.]
[1,8,2,3,4,5,6,7]=>[1,8,3,4,5,6,7,2]=>[8,1,6,5,4,3,2,7]=>[[.,.],[[[[[.,.],.],.],.],[.,.]]]
[1,2,3,8,4,5,6,7]=>[1,2,3,8,5,6,7,4]=>[8,7,6,1,4,3,2,5]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]
[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,6,7,5]=>[8,7,6,5,1,3,2,4]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]
[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,7,6]=>[8,7,6,5,4,1,2,3]=>[[[[[[.,.],.],.],.],.],[.,[.,.]]]
[8,4,5,2,3,7,6,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,4,5,2,3,8,1,6]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,4,5,2,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[5,4,6,2,1,3,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[4,6,5,1,3,2,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[5,6,4,3,1,2,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[7,5,4,3,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,4,3,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,7,4,3,8,1,2,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,7,4,3,1,8,2,6]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[4,7,5,1,3,8,2,6]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[3,7,1,5,4,8,2,6]=>[7,8,3,5,4,6,1,2]=>[2,1,6,4,5,3,8,7]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[4,8,5,1,3,7,6,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,8,4,3,1,7,6,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,8,4,3,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,4,3,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,5,7,3,1,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,6,7,1,3,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,6,1,7,3,5,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,8,1,6,7,4,5,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,1,8,6,7,4,5,3]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,7,6,8,4,3,5]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[3,7,1,6,8,4,2,5]=>[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[5,7,6,8,1,3,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,4,7,2,1,8,3,6]=>[7,5,8,4,2,6,1,3]=>[2,4,1,5,7,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[6,4,7,2,8,1,3,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,4,6,2,8,3,1,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,4,6,2,7,3,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,3,2,6,7,4,5,1]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,3,2,6,8,4,1,5]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,3,2,7,1,8,4,6]=>[7,5,3,8,2,6,1,4]=>[2,4,6,1,7,3,8,5]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[4,3,2,1,7,8,5,6]=>[4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[3,4,1,2,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[5,3,2,8,1,7,6,4]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[7,3,2,8,6,5,1,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,4,8,2,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,4,8,2,7,1,5,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,5,1,8,2,7,6,4]=>[5,8,3,7,1,6,4,2]=>[4,1,6,2,8,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[2,1,6,8,7,3,5,4]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[3,6,1,8,7,2,5,4]=>[6,8,3,7,5,1,4,2]=>[3,1,6,2,4,8,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[4,6,8,1,7,2,5,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,6,8,7,1,2,4,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,5,8,7,2,1,4,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,5,8,6,2,4,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,7,8,6,1,4,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,7,8,1,6,5,2,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,7,1,8,6,5,2,4]=>[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[2,1,7,8,6,5,3,4]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[3,8,1,7,6,5,4,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,8,7,1,6,5,3,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,8,7,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,1,4,3,6,5,8,7,10,9]=>[2,1,4,3,6,5,8,7,10,9]=>[9,10,7,8,5,6,3,4,1,2]=>[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]
[8,7,4,3,6,5,2,1,10,9]=>[8,7,6,5,4,3,2,1,10,9]=>[3,4,5,6,7,8,9,10,1,2]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]]
[10,9,4,3,6,5,8,7,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[5,6,7,8,1,2,3,4,10,9]=>[8,7,6,5,4,3,2,1,10,9]=>[3,4,5,6,7,8,9,10,1,2]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]]
[2,1,6,7,8,3,4,5,10,9]=>[2,1,8,7,6,5,4,3,10,9]=>[9,10,3,4,5,6,7,8,1,2]=>[[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[2,1,8,7,6,5,4,3,10,9]=>[2,1,8,7,6,5,4,3,10,9]=>[9,10,3,4,5,6,7,8,1,2]=>[[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[8,7,6,5,4,3,2,1,10,9]=>[8,7,6,5,4,3,2,1,10,9]=>[3,4,5,6,7,8,9,10,1,2]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]]
[10,9,6,5,4,3,8,7,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[2,1,10,9,6,5,8,7,4,3]=>[2,1,10,9,8,7,6,5,4,3]=>[9,10,1,2,3,4,5,6,7,8]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[10,9,8,5,4,7,6,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,8,9,6,7,4,5,2,3,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[2,1,7,8,9,10,3,4,5,6]=>[2,1,10,9,8,7,6,5,4,3]=>[9,10,1,2,3,4,5,6,7,8]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,8,9,10,1,2,3,4,5]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[3,4,1,2,8,9,10,5,6,7]=>[4,3,2,1,10,9,8,7,6,5]=>[7,8,9,10,1,2,3,4,5,6]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,4,3,8,9,10,5,6,7]=>[2,1,4,3,10,9,8,7,6,5]=>[9,10,7,8,1,2,3,4,5,6]=>[[[.,[.,.]],[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,5,6,3,4,9,10,7,8]=>[2,1,6,5,4,3,10,9,8,7]=>[9,10,5,6,7,8,1,2,3,4]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[4,5,6,1,2,3,9,10,7,8]=>[6,5,4,3,2,1,10,9,8,7]=>[5,6,7,8,9,10,1,2,3,4]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]]
[2,1,4,3,6,5,9,10,7,8]=>[2,1,4,3,6,5,10,9,8,7]=>[9,10,7,8,5,6,1,2,3,4]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,[.,[.,.]]]]
[2,1,4,3,6,5,10,9,8,7]=>[2,1,4,3,6,5,10,9,8,7]=>[9,10,7,8,5,6,1,2,3,4]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,[.,[.,.]]]]
[2,1,6,5,4,3,10,9,8,7]=>[2,1,6,5,4,3,10,9,8,7]=>[9,10,5,6,7,8,1,2,3,4]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[6,5,4,3,2,1,10,9,8,7]=>[6,5,4,3,2,1,10,9,8,7]=>[5,6,7,8,9,10,1,2,3,4]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]]
[10,9,4,3,8,7,6,5,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[7,10,5,9,3,8,1,6,4,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,7,5,10,3,8,2,6,1,4]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[2,1,4,3,10,9,8,7,6,5]=>[2,1,4,3,10,9,8,7,6,5]=>[9,10,7,8,1,2,3,4,5,6]=>[[[.,[.,.]],[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[4,3,2,1,10,9,8,7,6,5]=>[4,3,2,1,10,9,8,7,6,5]=>[7,8,9,10,1,2,3,4,5,6]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,10,9,8,7,6,5,4,3]=>[2,1,10,9,8,7,6,5,4,3]=>[9,10,1,2,3,4,5,6,7,8]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[9,10,8,7,6,5,4,3,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[3,2,5,1,4,6,7,8]=>[4,2,5,1,3,6,7,8]=>[5,7,4,8,6,3,2,1]=>[[[[[.,[.,.]],[[.,.],.]],.],.],.]
[4,2,5,1,3,6,7,8]=>[5,4,3,2,1,6,7,8]=>[4,5,6,7,8,3,2,1]=>[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]
[5,2,4,1,3,6,7,8]=>[5,4,3,2,1,6,7,8]=>[4,5,6,7,8,3,2,1]=>[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]
[3,2,6,1,4,5,7,8]=>[4,2,6,1,5,3,7,8]=>[5,7,3,8,4,6,2,1]=>[[[[.,[.,.]],[[.,.],[.,.]]],.],.]
[4,2,6,1,3,5,7,8]=>[5,4,6,2,1,3,7,8]=>[4,5,3,7,8,6,2,1]=>[[[[.,[.,.]],[[.,[.,.]],.]],.],.]
[5,3,6,1,2,4,7,8]=>[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[6,2,4,1,3,5,7,8]=>[6,4,5,2,3,1,7,8]=>[3,5,4,7,6,8,2,1]=>[[[.,[[.,.],[[.,.],[.,.]]]],.],.]
[6,3,5,1,2,4,7,8]=>[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[5,2,7,1,3,4,6,8]=>[6,4,7,2,5,1,3,8]=>[3,5,2,7,4,8,6,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[5,3,7,1,2,4,6,8]=>[6,5,7,4,2,1,3,8]=>[3,4,2,5,7,8,6,1]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[5,4,7,1,2,3,6,8]=>[6,5,7,4,2,1,3,8]=>[3,4,2,5,7,8,6,1]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[6,4,7,1,2,3,5,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,4,6,1,2,3,5,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[3,2,8,1,4,5,6,7]=>[4,2,8,1,5,6,7,3]=>[5,7,1,8,4,3,2,6]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]
[5,2,8,1,3,4,6,7]=>[6,4,8,2,5,1,7,3]=>[3,5,1,7,4,8,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[5,4,8,1,2,3,6,7]=>[6,5,8,4,2,1,7,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[6,2,8,1,3,4,5,7]=>[7,4,8,2,5,6,1,3]=>[2,5,1,7,4,3,8,6]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[6,3,8,1,2,4,5,7]=>[7,5,8,4,2,6,1,3]=>[2,4,1,5,7,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[7,2,8,1,3,4,5,6]=>[8,4,7,2,5,6,3,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[7,4,8,1,2,3,5,6]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[7,5,8,1,2,3,4,6]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,3,5,1,2,4,6,7]=>[8,5,6,4,2,3,7,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[8,4,7,1,2,3,5,6]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[8,5,7,1,2,3,4,6]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,2,5,7,1,4,6,8]=>[5,2,6,7,1,3,4,8]=>[4,7,3,2,8,6,5,1]=>[[[[.,[.,.]],.],[[[.,.],.],.]],.]
[4,2,5,7,1,3,6,8]=>[6,5,3,7,2,1,4,8]=>[3,4,6,2,7,8,5,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[4,3,5,7,1,2,6,8]=>[6,5,3,7,2,1,4,8]=>[3,4,6,2,7,8,5,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[5,2,4,7,1,3,6,8]=>[6,5,3,7,2,1,4,8]=>[3,4,6,2,7,8,5,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[5,3,4,7,1,2,6,8]=>[6,5,3,7,2,1,4,8]=>[3,4,6,2,7,8,5,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[4,2,6,7,1,3,5,8]=>[6,5,7,4,2,1,3,8]=>[3,4,2,5,7,8,6,1]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[5,3,6,7,1,2,4,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,3,5,7,1,2,4,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,3,4,6,1,2,5,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,3,5,6,1,2,4,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[3,2,5,8,1,4,6,7]=>[5,2,6,8,1,3,7,4]=>[4,7,3,1,8,6,2,5]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]
[4,2,5,8,1,3,6,7]=>[6,5,3,8,2,1,7,4]=>[3,4,6,1,7,8,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[4,3,5,8,1,2,6,7]=>[6,5,3,8,2,1,7,4]=>[3,4,6,1,7,8,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[5,2,4,8,1,3,6,7]=>[6,5,3,8,2,1,7,4]=>[3,4,6,1,7,8,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[3,2,6,8,1,4,5,7]=>[5,2,7,8,1,6,3,4]=>[4,7,2,1,8,3,6,5]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]
[4,2,6,8,1,3,5,7]=>[6,5,7,8,2,1,3,4]=>[3,4,2,1,7,8,6,5]=>[[[.,[.,.]],.],[[[.,[.,.]],.],.]]
[4,3,6,8,1,2,5,7]=>[6,5,7,8,2,1,3,4]=>[3,4,2,1,7,8,6,5]=>[[[.,[.,.]],.],[[[.,[.,.]],.],.]]
[5,2,6,8,1,3,4,7]=>[7,5,6,8,2,3,1,4]=>[2,4,3,1,7,6,8,5]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]
[6,2,4,8,1,3,5,7]=>[7,5,6,8,2,3,1,4]=>[2,4,3,1,7,6,8,5]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]
[6,3,4,8,1,2,5,7]=>[7,6,5,8,3,2,1,4]=>[2,3,4,1,6,7,8,5]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[6,2,5,8,1,3,4,7]=>[7,5,6,8,2,3,1,4]=>[2,4,3,1,7,6,8,5]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]
[6,3,5,8,1,2,4,7]=>[7,6,5,8,3,2,1,4]=>[2,3,4,1,6,7,8,5]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[6,4,5,8,1,2,3,7]=>[7,6,5,8,3,2,1,4]=>[2,3,4,1,6,7,8,5]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[3,2,7,8,1,4,5,6]=>[5,2,8,7,1,6,4,3]=>[4,7,1,2,8,3,5,6]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[4,3,7,8,1,2,5,6]=>[6,5,8,7,2,1,4,3]=>[3,4,1,2,7,8,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]
[5,3,7,8,1,2,4,6]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[5,4,7,8,1,2,3,6]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[6,2,7,8,1,3,4,5]=>[8,5,7,6,2,4,3,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[6,3,7,8,1,2,4,5]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[6,4,7,8,1,2,3,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,2,4,8,1,3,5,6]=>[8,5,6,7,2,3,4,1]=>[1,4,3,2,7,6,5,8]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]
[7,3,4,8,1,2,5,6]=>[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[7,3,5,8,1,2,4,6]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[7,4,5,8,1,2,3,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
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[8,2,5,6,1,3,4,7]=>[8,5,7,6,2,4,3,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[8,3,5,6,1,2,4,7]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
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[8,2,5,7,1,3,4,6]=>[8,5,7,6,2,4,3,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[8,3,5,7,1,2,4,6]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
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[5,6,2,4,1,3,7,8]=>[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[3,7,2,5,1,4,6,8]=>[5,7,3,6,1,4,2,8]=>[4,2,6,3,8,5,7,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
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[5,7,2,4,1,3,6,8]=>[6,7,5,4,3,1,2,8]=>[3,2,4,5,6,8,7,1]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[5,7,3,4,1,2,6,8]=>[6,7,5,4,3,1,2,8]=>[3,2,4,5,6,8,7,1]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
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[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]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
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[6,8,3,5,1,2,4,7]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[6,8,4,5,1,2,3,7]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[3,8,2,7,1,4,5,6]=>[5,8,3,7,1,6,4,2]=>[4,1,6,2,8,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[4,8,2,7,1,3,5,6]=>[6,8,5,7,3,1,4,2]=>[3,1,4,2,6,8,5,7]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[4,8,3,7,1,2,5,6]=>[6,8,5,7,3,1,4,2]=>[3,1,4,2,6,8,5,7]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[5,8,2,7,1,3,4,6]=>[7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[5,8,3,7,1,2,4,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[5,8,4,7,1,2,3,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[6,8,2,7,1,3,4,5]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
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[6,8,5,7,1,2,3,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,2,4,1,3,5,6]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[7,8,2,5,1,3,4,6]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[7,8,3,5,1,2,4,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,4,6,1,2,3,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,3,2,6,1,5,7,8]=>[5,3,2,6,1,4,7,8]=>[4,6,7,3,8,5,2,1]=>[[[[.,[.,[.,.]]],[[.,.],.]],.],.]
[5,3,2,6,1,4,7,8]=>[6,5,3,4,2,1,7,8]=>[3,4,6,5,7,8,2,1]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[5,4,2,6,1,3,7,8]=>[6,5,3,4,2,1,7,8]=>[3,4,6,5,7,8,2,1]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
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[6,4,2,5,1,3,7,8]=>[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[6,5,2,4,1,3,7,8]=>[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[4,3,2,7,1,5,6,8]=>[5,3,2,7,1,6,4,8]=>[4,6,7,2,8,3,5,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[5,3,2,7,1,4,6,8]=>[6,5,3,7,2,1,4,8]=>[3,4,6,2,7,8,5,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[5,4,3,7,1,2,6,8]=>[6,5,3,7,2,1,4,8]=>[3,4,6,2,7,8,5,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[6,3,2,7,1,4,5,8]=>[7,5,3,6,2,4,1,8]=>[2,4,6,3,7,5,8,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
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[8,3,2,6,1,4,5,7]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[8,4,2,6,1,3,5,7]=>[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[8,5,3,6,1,2,4,7]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
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[8,3,2,7,1,4,5,6]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[8,4,2,7,1,3,5,6]=>[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[8,4,3,7,1,2,5,6]=>[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[8,5,2,7,1,3,4,6]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[8,5,3,7,1,2,4,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,4,7,1,2,3,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,3,7,1,2,4,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,2,4,1,3,5,6]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[8,7,2,5,1,3,4,6]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[8,7,3,5,1,2,4,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,2,6,1,3,4,5]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[8,7,3,6,1,2,4,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,4,6,1,2,3,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,6,2,5,8,1,4,7]=>[6,7,3,4,8,1,2,5]=>[3,2,6,5,1,8,7,4]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]
[4,6,3,5,8,1,2,7]=>[7,6,4,3,8,2,1,5]=>[2,3,5,6,1,7,8,4]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[5,6,2,4,8,1,3,7]=>[7,6,4,3,8,2,1,5]=>[2,3,5,6,1,7,8,4]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[3,7,2,6,8,1,4,5]=>[6,8,3,7,5,1,4,2]=>[3,1,6,2,4,8,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[5,7,2,6,8,1,3,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,7,4,6,8,1,2,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,7,3,4,8,1,2,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,7,3,5,8,1,2,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,8,2,5,7,1,4,6]=>[6,8,3,7,5,1,4,2]=>[3,1,6,2,4,8,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[3,8,2,6,7,1,4,5]=>[6,8,3,7,5,1,4,2]=>[3,1,6,2,4,8,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[4,8,3,6,7,1,2,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[5,8,2,6,7,1,3,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,3,6,7,1,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,4,6,7,1,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,2,5,7,1,3,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,3,5,7,1,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,4,5,7,1,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,2,4,6,1,3,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,3,4,6,1,2,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,2,5,6,1,3,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,3,5,6,1,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,3,2,6,8,1,5,7]=>[6,3,2,7,8,1,4,5]=>[3,6,7,2,1,8,5,4]=>[[[.,[.,[.,.]]],.],[[[.,.],.],.]]
[5,3,2,6,8,1,4,7]=>[7,6,3,4,8,2,1,5]=>[2,3,6,5,1,7,8,4]=>[[.,[.,[[.,.],.]]],[[.,[.,.]],.]]
[5,4,2,6,8,1,3,7]=>[7,6,3,4,8,2,1,5]=>[2,3,6,5,1,7,8,4]=>[[.,[.,[[.,.],.]]],[[.,[.,.]],.]]
[5,4,3,6,8,1,2,7]=>[7,6,3,4,8,2,1,5]=>[2,3,6,5,1,7,8,4]=>[[.,[.,[[.,.],.]]],[[.,[.,.]],.]]
[6,3,2,5,8,1,4,7]=>[7,6,3,4,8,2,1,5]=>[2,3,6,5,1,7,8,4]=>[[.,[.,[[.,.],.]]],[[.,[.,.]],.]]
[6,4,3,5,8,1,2,7]=>[7,6,4,3,8,2,1,5]=>[2,3,5,6,1,7,8,4]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[6,5,2,4,8,1,3,7]=>[7,6,4,3,8,2,1,5]=>[2,3,5,6,1,7,8,4]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[4,3,2,7,8,1,5,6]=>[6,3,2,8,7,1,5,4]=>[3,6,7,1,2,8,4,5]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]
[5,3,2,7,8,1,4,6]=>[7,6,3,8,5,2,1,4]=>[2,3,6,1,4,7,8,5]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[5,4,2,7,8,1,3,6]=>[7,6,3,8,5,2,1,4]=>[2,3,6,1,4,7,8,5]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[5,4,3,7,8,1,2,6]=>[7,6,3,8,5,2,1,4]=>[2,3,6,1,4,7,8,5]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[6,4,2,7,8,1,3,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,4,3,7,8,1,2,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,5,2,7,8,1,3,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,4,2,5,8,1,3,6]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,4,3,5,8,1,2,6]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,5,3,4,8,1,2,6]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,5,2,6,8,1,3,4]=>[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]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,4,2,5,7,1,3,6]=>[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]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,4,2,6,7,1,3,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,2,6,7,1,3,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,3,6,7,1,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,2,4,7,1,3,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,2,5,7,1,3,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,3,5,7,1,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,2,4,6,1,3,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,3,4,6,1,2,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,2,5,6,1,3,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,3,5,6,1,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,3,7,2,6,1,5,8]=>[6,4,7,2,5,1,3,8]=>[3,5,2,7,4,8,6,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[5,3,7,2,6,1,4,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,4,7,2,6,1,3,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,3,7,2,5,1,4,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,4,7,2,5,1,3,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,4,7,3,5,1,2,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,3,6,2,5,1,4,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,3,8,2,6,1,5,7]=>[6,4,8,2,7,1,5,3]=>[3,5,1,7,2,8,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[6,4,8,2,5,1,3,7]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[6,4,8,3,5,1,2,7]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[6,5,8,2,4,1,3,7]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[6,5,8,3,4,1,2,7]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[4,3,8,2,7,1,5,6]=>[6,4,8,2,7,1,5,3]=>[3,5,1,7,2,8,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[6,3,8,2,7,1,4,5]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[6,4,8,2,7,1,3,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,4,8,3,7,1,2,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,5,8,2,7,1,3,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,3,8,2,5,1,4,6]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[7,4,8,3,5,1,2,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,5,8,2,4,1,3,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,5,8,3,4,1,2,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,3,8,2,6,1,4,5]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[7,4,8,2,6,1,3,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,5,8,2,6,1,3,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,5,8,3,6,1,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,5,8,4,6,1,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,8,2,5,1,3,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,8,3,5,1,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,3,6,2,5,1,4,7]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[8,4,6,2,5,1,3,7]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,6,2,4,1,3,7]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,3,7,2,5,1,4,6]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[8,4,7,3,5,1,2,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,7,2,4,1,3,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,3,7,2,6,1,4,5]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[8,4,7,2,6,1,3,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,7,3,6,1,2,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,7,2,6,1,3,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,7,2,4,1,3,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,7,2,5,1,3,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,7,3,5,1,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
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[8,1,2,5,6,7,3,4]=>[8,2,3,7,6,5,4,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[3,1,8,2,6,4,5,7]=>[4,2,8,1,7,6,5,3]=>[5,7,1,8,2,3,4,6]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[3,1,8,2,7,4,5,6]=>[4,2,8,1,7,6,5,3]=>[5,7,1,8,2,3,4,6]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[3,1,5,2,8,7,4,6]=>[4,2,7,1,8,6,3,5]=>[5,7,2,8,1,3,6,4]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]
[3,1,8,2,6,7,4,5]=>[4,2,8,1,7,6,5,3]=>[5,7,1,8,2,3,4,6]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[6,1,4,2,3,8,5,7]=>[7,2,5,4,3,8,1,6]=>[2,7,4,5,6,1,8,3]=>[[.,[[.,.],[.,[.,.]]]],[[.,.],.]]
[8,1,5,2,3,4,6,7]=>[8,2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[7,1,5,2,3,4,8,6]=>[8,2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[8,1,7,2,3,4,5,6]=>[8,2,7,4,5,6,3,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[6,1,5,2,3,8,4,7]=>[7,2,5,4,3,8,1,6]=>[2,7,4,5,6,1,8,3]=>[[.,[[.,.],[.,[.,.]]]],[[.,.],.]]
[8,1,5,2,3,7,4,6]=>[8,2,7,4,5,6,3,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[6,1,8,2,3,7,4,5]=>[8,2,7,4,5,6,3,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[8,1,4,2,6,3,5,7]=>[8,2,6,4,7,3,5,1]=>[1,7,3,5,2,6,4,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[8,1,4,2,7,3,5,6]=>[8,2,6,4,7,3,5,1]=>[1,7,3,5,2,6,4,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[7,1,4,2,6,3,8,5]=>[8,2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[8,1,5,2,6,3,4,7]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,1,5,2,7,3,4,6]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,1,8,2,6,3,4,5]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,1,5,2,6,3,8,4]=>[8,2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[8,1,4,2,6,7,3,5]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,1,5,2,6,7,3,4]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[5,1,4,2,6,7,8,3]=>[8,2,4,3,5,6,7,1]=>[1,7,5,6,4,3,2,8]=>[.,[[[[[.,.],[.,.]],.],.],[.,.]]]
[3,1,4,8,2,7,5,6]=>[5,2,3,8,1,7,6,4]=>[4,7,6,1,8,2,3,5]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]
[3,1,8,6,2,4,5,7]=>[5,2,8,7,1,6,4,3]=>[4,7,1,2,8,3,5,6]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[3,1,6,5,2,8,4,7]=>[5,2,7,4,1,8,3,6]=>[4,7,2,5,8,1,6,3]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]
[3,1,8,5,2,7,4,6]=>[5,2,8,7,1,6,4,3]=>[4,7,1,2,8,3,5,6]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[3,1,8,6,2,7,4,5]=>[5,2,8,7,1,6,4,3]=>[4,7,1,2,8,3,5,6]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[3,1,6,5,2,7,8,4]=>[5,2,8,4,1,6,7,3]=>[4,7,1,5,8,3,2,6]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[8,1,4,5,2,3,6,7]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[7,1,4,5,2,3,8,6]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[8,1,4,6,2,3,5,7]=>[8,2,6,7,5,3,4,1]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[7,1,4,8,2,3,5,6]=>[8,2,6,7,5,3,4,1]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[7,1,4,6,2,3,8,5]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[8,1,6,5,2,3,4,7]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,1,8,5,2,3,4,6]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,1,8,6,2,3,4,5]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,1,6,5,2,3,8,4]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[6,1,4,5,2,8,3,7]=>[7,2,5,4,3,8,1,6]=>[2,7,4,5,6,1,8,3]=>[[.,[[.,.],[.,[.,.]]]],[[.,.],.]]
[8,1,4,5,2,7,3,6]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[8,1,4,6,2,7,3,5]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,6,5,2,7,3,4]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,1,4,8,6,2,5,7]=>[6,2,3,8,7,1,5,4]=>[3,7,6,1,2,8,4,5]=>[[.,[[.,.],.]],[.,[[.,.],[.,.]]]]
[3,1,4,8,7,2,5,6]=>[6,2,3,8,7,1,5,4]=>[3,7,6,1,2,8,4,5]=>[[.,[[.,.],.]],[.,[[.,.],[.,.]]]]
[3,1,4,7,6,2,8,5]=>[6,2,3,8,5,1,7,4]=>[3,7,6,1,4,8,2,5]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]
[3,1,8,5,6,2,4,7]=>[6,2,8,7,5,1,4,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[3,1,8,5,7,2,4,6]=>[6,2,8,7,5,1,4,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[3,1,8,7,6,2,4,5]=>[6,2,8,7,5,1,4,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[8,1,4,5,6,2,3,7]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,4,5,7,2,3,6]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,4,7,6,2,3,5]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,7,5,6,2,3,4]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,1,4,5,6,2,8,3]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[3,1,4,5,8,7,2,6]=>[7,2,3,4,8,6,1,5]=>[2,7,6,5,1,3,8,4]=>[[.,[[[.,.],.],.]],[.,[[.,.],.]]]
[3,1,4,8,6,7,2,5]=>[7,2,3,8,6,5,1,4]=>[2,7,6,1,3,4,8,5]=>[[.,[[.,.],.]],[.,[.,[[.,.],.]]]]
[3,1,8,5,6,7,2,4]=>[7,2,8,6,5,4,1,3]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[8,1,4,5,6,7,2,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,8,1,3,6,4,5,7]=>[3,8,1,4,7,6,5,2]=>[6,1,8,5,2,3,4,7]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[2,8,1,3,7,4,5,6]=>[3,8,1,4,7,6,5,2]=>[6,1,8,5,2,3,4,7]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[2,5,1,3,8,7,4,6]=>[3,7,1,4,8,6,2,5]=>[6,2,8,5,1,3,7,4]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]
[2,8,1,3,6,7,4,5]=>[3,8,1,4,7,6,5,2]=>[6,1,8,5,2,3,4,7]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[2,4,1,8,3,7,5,6]=>[3,5,1,8,2,7,6,4]=>[6,4,8,1,7,2,3,5]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[2,8,1,5,3,4,6,7]=>[3,8,1,6,5,4,7,2]=>[6,1,8,3,4,5,2,7]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[2,7,1,5,3,4,8,6]=>[3,8,1,6,5,4,7,2]=>[6,1,8,3,4,5,2,7]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[2,8,1,6,3,4,5,7]=>[3,8,1,7,5,6,4,2]=>[6,1,8,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[2,7,1,6,3,4,8,5]=>[3,8,1,6,5,4,7,2]=>[6,1,8,3,4,5,2,7]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[2,6,1,5,3,8,4,7]=>[3,7,1,5,4,8,2,6]=>[6,2,8,4,5,1,7,3]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]
[2,8,1,5,3,7,4,6]=>[3,8,1,7,5,6,4,2]=>[6,1,8,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[2,8,1,6,3,7,4,5]=>[3,8,1,7,5,6,4,2]=>[6,1,8,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[2,6,1,5,3,7,8,4]=>[3,8,1,5,4,6,7,2]=>[6,1,8,4,5,3,2,7]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]
[2,4,1,8,6,3,5,7]=>[3,6,1,8,7,2,5,4]=>[6,3,8,1,2,7,4,5]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]
[2,4,1,8,7,3,5,6]=>[3,6,1,8,7,2,5,4]=>[6,3,8,1,2,7,4,5]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]
[2,4,1,7,6,3,8,5]=>[3,6,1,8,5,2,7,4]=>[6,3,8,1,4,7,2,5]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[2,8,1,5,6,3,4,7]=>[3,8,1,7,6,5,4,2]=>[6,1,8,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[2,8,1,5,7,3,4,6]=>[3,8,1,7,6,5,4,2]=>[6,1,8,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[2,8,1,7,6,3,4,5]=>[3,8,1,7,6,5,4,2]=>[6,1,8,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[2,7,1,5,6,3,8,4]=>[3,8,1,6,5,4,7,2]=>[6,1,8,3,4,5,2,7]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[2,4,1,5,8,7,3,6]=>[3,7,1,4,8,6,2,5]=>[6,2,8,5,1,3,7,4]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]
[2,4,1,8,6,7,3,5]=>[3,7,1,8,6,5,2,4]=>[6,2,8,1,3,4,7,5]=>[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]
[2,8,1,5,6,7,3,4]=>[3,8,1,7,6,5,4,2]=>[6,1,8,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[7,3,1,2,4,5,8,6]=>[8,4,3,2,5,6,7,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,[.,[.,.]]],.],.],[.,.]]]
[8,3,1,2,4,7,5,6]=>[8,4,3,2,5,7,6,1]=>[1,5,6,7,4,2,3,8]=>[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]
[6,3,1,2,4,7,8,5]=>[8,4,3,2,5,6,7,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,[.,[.,.]]],.],.],[.,.]]]
[5,3,1,2,8,4,6,7]=>[6,4,3,2,8,1,7,5]=>[3,5,6,7,1,8,2,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[5,3,1,2,7,4,8,6]=>[6,4,3,2,8,1,7,5]=>[3,5,6,7,1,8,2,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[8,3,1,2,6,4,5,7]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[8,3,1,2,7,4,5,6]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[7,3,1,2,6,4,8,5]=>[8,4,3,2,6,5,7,1]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[5,3,1,2,8,7,4,6]=>[7,4,3,2,8,6,1,5]=>[2,5,6,7,1,3,8,4]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]
[8,3,1,2,6,7,4,5]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[5,3,1,2,6,7,8,4]=>[8,4,3,2,5,6,7,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,[.,[.,.]]],.],.],[.,.]]]
[8,4,1,2,3,7,5,6]=>[8,5,3,4,2,7,6,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[7,6,1,2,3,4,8,5]=>[8,6,3,4,5,2,7,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[5,8,1,2,3,7,4,6]=>[7,8,3,4,5,6,1,2]=>[2,1,6,5,4,3,8,7]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]
[8,6,1,2,3,7,4,5]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[5,4,1,2,8,3,6,7]=>[6,4,3,2,8,1,7,5]=>[3,5,6,7,1,8,2,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[5,4,1,2,7,3,8,6]=>[6,4,3,2,8,1,7,5]=>[3,5,6,7,1,8,2,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[8,4,1,2,6,3,5,7]=>[8,6,3,4,7,2,5,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[8,4,1,2,7,3,5,6]=>[8,6,3,4,7,2,5,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[7,4,1,2,6,3,8,5]=>[8,6,3,4,5,2,7,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[5,8,1,2,6,3,4,7]=>[7,8,3,4,6,5,1,2]=>[2,1,6,5,3,4,8,7]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]
[5,8,1,2,7,3,4,6]=>[7,8,3,4,6,5,1,2]=>[2,1,6,5,3,4,8,7]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]
[5,7,1,2,6,3,8,4]=>[8,6,3,4,5,2,7,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[5,4,1,2,8,7,3,6]=>[7,4,3,2,8,6,1,5]=>[2,5,6,7,1,3,8,4]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]
[5,4,1,2,6,7,8,3]=>[8,4,3,2,5,6,7,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,[.,[.,.]]],.],.],[.,.]]]
[4,3,1,8,2,5,6,7]=>[5,3,2,8,1,6,7,4]=>[4,6,7,1,8,3,2,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[4,3,1,7,2,5,8,6]=>[5,3,2,8,1,6,7,4]=>[4,6,7,1,8,3,2,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[4,3,1,6,2,8,5,7]=>[5,3,2,7,1,8,4,6]=>[4,6,7,2,8,1,5,3]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]
[4,3,1,8,2,7,5,6]=>[5,3,2,8,1,7,6,4]=>[4,6,7,1,8,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[4,3,1,6,2,7,8,5]=>[5,3,2,8,1,6,7,4]=>[4,6,7,1,8,3,2,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[8,3,1,5,2,4,6,7]=>[8,5,3,6,2,4,7,1]=>[1,4,6,3,7,5,2,8]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[7,3,1,5,2,4,8,6]=>[8,5,3,6,2,4,7,1]=>[1,4,6,3,7,5,2,8]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[8,3,1,6,2,4,5,7]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[7,3,1,8,2,4,5,6]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[7,3,1,6,2,4,8,5]=>[8,5,3,6,2,4,7,1]=>[1,4,6,3,7,5,2,8]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[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]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[6,8,1,5,2,3,4,7]=>[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[8,7,1,5,2,3,4,6]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,7,1,6,2,3,4,5]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,4,1,6,2,7,3,5]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,8,1,5,2,7,3,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,3,1,8,6,2,5,7]=>[6,3,2,8,7,1,5,4]=>[3,6,7,1,2,8,4,5]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]
[4,3,1,8,7,2,5,6]=>[6,3,2,8,7,1,5,4]=>[3,6,7,1,2,8,4,5]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]
[4,3,1,7,6,2,8,5]=>[6,3,2,8,5,1,7,4]=>[3,6,7,1,4,8,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[8,4,1,5,6,2,3,7]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,4,1,5,7,2,3,6]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,4,1,7,6,2,3,5]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,8,1,5,6,2,3,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,3,1,5,8,7,2,6]=>[7,3,2,4,8,6,1,5]=>[2,6,7,5,1,3,8,4]=>[[.,[[.,[.,.]],.]],[.,[[.,.],.]]]
[4,3,1,8,6,7,2,5]=>[7,3,2,8,6,5,1,4]=>[2,6,7,1,3,4,8,5]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]
[8,3,1,5,6,7,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,4,1,5,6,7,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,3,1,5,6,7,8,2]=>[8,3,2,4,5,6,7,1]=>[1,6,7,5,4,3,2,8]=>[.,[[[[[.,[.,.]],.],.],.],[.,.]]]
[2,3,8,1,6,4,5,7]=>[4,2,8,1,7,6,5,3]=>[5,7,1,8,2,3,4,6]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[2,3,8,1,7,4,5,6]=>[4,2,8,1,7,6,5,3]=>[5,7,1,8,2,3,4,6]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[2,3,5,1,8,7,4,6]=>[4,2,7,1,8,6,3,5]=>[5,7,2,8,1,3,6,4]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]
[2,3,8,1,6,7,4,5]=>[4,2,8,1,7,6,5,3]=>[5,7,1,8,2,3,4,6]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[2,8,4,1,3,5,6,7]=>[4,8,5,1,3,6,7,2]=>[5,1,4,8,6,3,2,7]=>[[.,.],[[[.,[[.,.],.]],.],[.,.]]]
[2,7,4,1,3,5,8,6]=>[4,8,5,1,3,6,7,2]=>[5,1,4,8,6,3,2,7]=>[[.,.],[[[.,[[.,.],.]],.],[.,.]]]
[2,6,4,1,3,8,5,7]=>[4,7,5,1,3,8,2,6]=>[5,2,4,8,6,1,7,3]=>[[[.,.],[.,[[.,.],.]]],[[.,.],.]]
[2,8,4,1,3,7,5,6]=>[4,8,5,1,3,7,6,2]=>[5,1,4,8,6,2,3,7]=>[[.,.],[[.,[[.,.],.]],[.,[.,.]]]]
[2,6,4,1,3,7,8,5]=>[4,8,5,1,3,6,7,2]=>[5,1,4,8,6,3,2,7]=>[[.,.],[[[.,[[.,.],.]],.],[.,.]]]
[2,6,5,1,3,8,4,7]=>[4,7,5,1,3,8,2,6]=>[5,2,4,8,6,1,7,3]=>[[[.,.],[.,[[.,.],.]]],[[.,.],.]]
[2,6,5,1,3,7,8,4]=>[4,8,5,1,3,6,7,2]=>[5,1,4,8,6,3,2,7]=>[[.,.],[[[.,[[.,.],.]],.],[.,.]]]
[2,5,4,1,8,3,6,7]=>[4,6,3,1,8,2,7,5]=>[5,3,6,8,1,7,2,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[2,5,4,1,7,3,8,6]=>[4,6,3,1,8,2,7,5]=>[5,3,6,8,1,7,2,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[2,8,4,1,6,3,5,7]=>[4,8,6,1,7,3,5,2]=>[5,1,3,8,2,6,4,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[2,8,4,1,7,3,5,6]=>[4,8,6,1,7,3,5,2]=>[5,1,3,8,2,6,4,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[2,8,5,1,6,3,4,7]=>[4,8,7,1,6,5,3,2]=>[5,1,2,8,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[2,8,5,1,7,3,4,6]=>[4,8,7,1,6,5,3,2]=>[5,1,2,8,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[2,7,8,1,6,3,4,5]=>[4,8,7,1,6,5,3,2]=>[5,1,2,8,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[2,5,4,1,6,8,3,7]=>[4,7,3,1,5,8,2,6]=>[5,2,6,8,4,1,7,3]=>[[[.,.],[[.,[.,.]],.]],[[.,.],.]]
[2,5,4,1,8,7,3,6]=>[4,7,3,1,8,6,2,5]=>[5,2,6,8,1,3,7,4]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]
[2,8,4,1,6,7,3,5]=>[4,8,7,1,6,5,3,2]=>[5,1,2,8,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[2,8,5,1,6,7,3,4]=>[4,8,7,1,6,5,3,2]=>[5,1,2,8,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[2,5,4,1,6,7,8,3]=>[4,8,3,1,5,6,7,2]=>[5,1,6,8,4,3,2,7]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]
[6,3,4,1,2,8,5,7]=>[7,5,4,3,2,8,1,6]=>[2,4,5,6,7,1,8,3]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[8,3,4,1,2,7,5,6]=>[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[7,3,5,1,2,4,8,6]=>[8,5,6,4,2,3,7,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[6,3,7,1,2,4,8,5]=>[8,5,6,4,2,3,7,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[6,3,5,1,2,8,4,7]=>[7,5,4,3,2,8,1,6]=>[2,4,5,6,7,1,8,3]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[7,5,4,1,2,3,8,6]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,7,4,1,2,3,8,5]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,7,5,1,2,3,8,4]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,5,4,1,2,8,3,7]=>[7,5,4,3,2,8,1,6]=>[2,4,5,6,7,1,8,3]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[8,5,4,1,2,7,3,6]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,8,4,1,2,7,3,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,8,5,1,2,7,3,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,3,4,1,8,2,6,7]=>[6,4,3,2,8,1,7,5]=>[3,5,6,7,1,8,2,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[5,3,4,1,7,2,8,6]=>[6,4,3,2,8,1,7,5]=>[3,5,6,7,1,8,2,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[8,3,4,1,6,2,5,7]=>[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[8,3,4,1,7,2,5,6]=>[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[7,3,4,1,6,2,8,5]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[8,3,5,1,6,2,4,7]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[8,3,5,1,7,2,4,6]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[7,3,8,1,6,2,4,5]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[7,3,5,1,6,2,8,4]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,5,4,1,6,2,3,7]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,5,4,1,7,2,3,6]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,8,4,1,6,2,3,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,8,5,1,6,2,3,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,5,4,1,6,2,8,3]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,3,4,1,8,7,2,6]=>[7,4,3,2,8,6,1,5]=>[2,5,6,7,1,3,8,4]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]
[8,3,4,1,6,7,2,5]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[8,3,5,1,6,7,2,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,5,4,1,6,7,2,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,3,4,1,6,7,8,2]=>[8,4,3,2,5,6,7,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,[.,[.,.]]],.],.],[.,.]]]
[2,3,4,8,1,7,5,6]=>[5,2,3,8,1,7,6,4]=>[4,7,6,1,8,2,3,5]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]
[2,3,8,6,1,4,5,7]=>[5,2,8,7,1,6,4,3]=>[4,7,1,2,8,3,5,6]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[2,3,6,5,1,8,4,7]=>[5,2,7,4,1,8,3,6]=>[4,7,2,5,8,1,6,3]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]
[2,3,8,5,1,7,4,6]=>[5,2,8,7,1,6,4,3]=>[4,7,1,2,8,3,5,6]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[2,3,8,6,1,7,4,5]=>[5,2,8,7,1,6,4,3]=>[4,7,1,2,8,3,5,6]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[2,3,6,5,1,7,8,4]=>[5,2,8,4,1,6,7,3]=>[4,7,1,5,8,3,2,6]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[2,8,4,5,1,3,6,7]=>[5,8,6,4,1,3,7,2]=>[4,1,3,5,8,6,2,7]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]
[2,7,4,5,1,3,8,6]=>[5,8,6,4,1,3,7,2]=>[4,1,3,5,8,6,2,7]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]
[2,8,4,6,1,3,5,7]=>[5,8,6,7,1,3,4,2]=>[4,1,3,2,8,6,5,7]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]
[2,7,4,8,1,3,5,6]=>[5,8,6,7,1,3,4,2]=>[4,1,3,2,8,6,5,7]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]
[2,7,4,6,1,3,8,5]=>[5,8,6,4,1,3,7,2]=>[4,1,3,5,8,6,2,7]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]
[2,8,6,5,1,3,4,7]=>[5,8,7,6,1,4,3,2]=>[4,1,2,3,8,5,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[2,7,8,5,1,3,4,6]=>[5,8,7,6,1,4,3,2]=>[4,1,2,3,8,5,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[2,7,8,6,1,3,4,5]=>[5,8,7,6,1,4,3,2]=>[4,1,2,3,8,5,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[2,7,6,5,1,3,8,4]=>[5,8,6,4,1,3,7,2]=>[4,1,3,5,8,6,2,7]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]
[2,6,4,5,1,8,3,7]=>[5,7,4,3,1,8,2,6]=>[4,2,5,6,8,1,7,3]=>[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]
[2,8,4,5,1,7,3,6]=>[5,8,7,4,1,6,3,2]=>[4,1,2,5,8,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[2,8,4,6,1,7,3,5]=>[5,8,7,6,1,4,3,2]=>[4,1,2,3,8,5,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[2,8,6,5,1,7,3,4]=>[5,8,7,6,1,4,3,2]=>[4,1,2,3,8,5,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[7,3,4,5,1,2,8,6]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,3,4,6,1,2,8,5]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,3,6,5,1,2,4,7]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[7,3,8,5,1,2,4,6]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[7,3,8,6,1,2,4,5]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[7,3,6,5,1,2,8,4]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,6,4,5,1,2,8,3]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,3,4,5,1,8,2,7]=>[7,5,4,3,2,8,1,6]=>[2,4,5,6,7,1,8,3]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[8,3,4,5,1,7,2,6]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,3,4,6,1,7,2,5]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[8,3,6,5,1,7,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,4,5,1,7,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,3,4,8,6,1,5,7]=>[6,2,3,8,7,1,5,4]=>[3,7,6,1,2,8,4,5]=>[[.,[[.,.],.]],[.,[[.,.],[.,.]]]]
[2,3,4,8,7,1,5,6]=>[6,2,3,8,7,1,5,4]=>[3,7,6,1,2,8,4,5]=>[[.,[[.,.],.]],[.,[[.,.],[.,.]]]]
[2,3,4,7,6,1,8,5]=>[6,2,3,8,5,1,7,4]=>[3,7,6,1,4,8,2,5]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]
[2,3,8,5,6,1,4,7]=>[6,2,8,7,5,1,4,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[2,3,8,5,7,1,4,6]=>[6,2,8,7,5,1,4,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[2,3,8,7,6,1,4,5]=>[6,2,8,7,5,1,4,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[2,8,4,7,6,1,3,5]=>[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[2,8,7,5,6,1,3,4]=>[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[2,7,4,5,6,1,8,3]=>[6,8,5,4,3,1,7,2]=>[3,1,4,5,6,8,2,7]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[8,3,4,5,7,1,2,6]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,3,4,7,6,1,2,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,3,7,5,6,1,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,3,4,5,6,1,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[2,3,4,5,8,7,1,6]=>[7,2,3,4,8,6,1,5]=>[2,7,6,5,1,3,8,4]=>[[.,[[[.,.],.],.]],[.,[[.,.],.]]]
[2,3,4,8,6,7,1,5]=>[7,2,3,8,6,5,1,4]=>[2,7,6,1,3,4,8,5]=>[[.,[[.,.],.]],[.,[.,[[.,.],.]]]]
[2,3,8,5,6,7,1,4]=>[7,2,8,6,5,4,1,3]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[9,1,2,3,4,5,6,7,8]=>[9,2,3,4,5,6,7,8,1]=>[1,8,7,6,5,4,3,2,9]=>[.,[[[[[[[.,.],.],.],.],.],.],[.,.]]]
[8,1,2,3,4,5,6,9,7]=>[9,2,3,4,5,6,7,8,1]=>[1,8,7,6,5,4,3,2,9]=>[.,[[[[[[[.,.],.],.],.],.],.],[.,.]]]
[7,1,2,3,4,5,8,9,6]=>[9,2,3,4,5,6,7,8,1]=>[1,8,7,6,5,4,3,2,9]=>[.,[[[[[[[.,.],.],.],.],.],.],[.,.]]]
[6,1,2,3,4,7,8,9,5]=>[9,2,3,4,5,6,7,8,1]=>[1,8,7,6,5,4,3,2,9]=>[.,[[[[[[[.,.],.],.],.],.],.],[.,.]]]
[5,1,2,3,6,7,8,9,4]=>[9,2,3,4,5,6,7,8,1]=>[1,8,7,6,5,4,3,2,9]=>[.,[[[[[[[.,.],.],.],.],.],.],[.,.]]]
[4,1,2,5,6,7,8,9,3]=>[9,2,3,4,5,6,7,8,1]=>[1,8,7,6,5,4,3,2,9]=>[.,[[[[[[[.,.],.],.],.],.],.],[.,.]]]
[3,1,8,9,7,2,4,5,6]=>[6,2,9,8,7,1,5,4,3]=>[4,8,1,2,3,9,5,6,7]=>[[.,[.,.]],[.,[.,[[.,.],[.,[.,.]]]]]]
[8,1,9,5,6,2,3,4,7]=>[9,2,8,7,6,5,4,3,1]=>[1,8,2,3,4,5,6,7,9]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,1,9,7,6,2,3,4,5]=>[9,2,8,7,6,5,4,3,1]=>[1,8,2,3,4,5,6,7,9]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]
[9,1,4,8,6,7,2,3,5]=>[9,2,8,7,6,5,4,3,1]=>[1,8,2,3,4,5,6,7,9]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]
[9,1,8,5,6,7,2,3,4]=>[9,2,8,7,6,5,4,3,1]=>[1,8,2,3,4,5,6,7,9]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,1,4,5,6,7,8,9,2]=>[9,2,3,4,5,6,7,8,1]=>[1,8,7,6,5,4,3,2,9]=>[.,[[[[[[[.,.],.],.],.],.],.],[.,.]]]
[4,3,1,5,6,7,8,9,2]=>[9,3,2,4,5,6,7,8,1]=>[1,7,8,6,5,4,3,2,9]=>[.,[[[[[[.,[.,.]],.],.],.],.],[.,.]]]
[2,3,9,1,8,7,4,5,6]=>[4,2,9,1,8,7,6,5,3]=>[6,8,1,9,2,3,4,5,7]=>[[.,[.,.]],[[.,.],[.,[.,[.,[.,.]]]]]]
[2,3,9,1,6,7,8,4,5]=>[4,2,9,1,8,7,6,5,3]=>[6,8,1,9,2,3,4,5,7]=>[[.,[.,.]],[[.,.],[.,[.,[.,[.,.]]]]]]
[2,3,9,6,1,7,8,4,5]=>[5,2,9,8,1,7,6,4,3]=>[5,8,1,2,9,3,4,6,7]=>[[.,[.,.]],[.,[[.,.],[.,[.,[.,.]]]]]]
[9,8,4,5,1,2,3,6,7]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[7,8,4,6,1,2,3,9,5]=>[9,7,6,5,4,3,2,8,1]=>[1,3,4,5,6,7,8,2,9]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]]
[9,8,6,5,1,2,3,4,7]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[7,8,9,6,1,2,3,4,5]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[7,8,6,5,1,2,3,9,4]=>[9,7,6,5,4,3,2,8,1]=>[1,3,4,5,6,7,8,2,9]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]]
[8,3,6,5,1,7,2,9,4]=>[9,7,6,5,4,3,2,8,1]=>[1,3,4,5,6,7,8,2,9]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]]
[8,6,4,5,1,7,2,9,3]=>[9,7,6,5,4,3,2,8,1]=>[1,3,4,5,6,7,8,2,9]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]]
[8,3,4,7,6,1,2,9,5]=>[9,7,6,5,4,3,2,8,1]=>[1,3,4,5,6,7,8,2,9]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]]
[8,3,7,5,6,1,2,9,4]=>[9,7,6,5,4,3,2,8,1]=>[1,3,4,5,6,7,8,2,9]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]]
[9,7,4,5,6,1,2,3,8]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[8,9,4,5,6,1,2,3,7]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[8,9,7,5,6,1,2,3,4]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[8,7,4,5,6,1,2,9,3]=>[9,7,6,5,4,3,2,8,1]=>[1,3,4,5,6,7,8,2,9]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]]
[7,3,4,5,6,1,9,2,8]=>[8,6,5,4,3,2,9,1,7]=>[2,4,5,6,7,8,1,9,3]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[[.,.],.]]
[9,3,7,5,6,1,8,2,4]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,8,4,5,6,7,1,2,3]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[2,3,4,5,6,7,8,9,1]=>[9,2,3,4,5,6,7,8,1]=>[1,8,7,6,5,4,3,2,9]=>[.,[[[[[[[.,.],.],.],.],.],.],[.,.]]]
[]=>[]=>[]=>.
[3,5,2,6,1,4,8,7]=>[5,6,3,4,1,2,8,7]=>[4,3,6,5,8,7,1,2]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]
[3,5,2,7,4,8,1,6]=>[7,5,3,8,2,6,1,4]=>[2,4,6,1,7,3,8,5]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[3,5,2,7,4,8,6,1]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[4,5,7,2,3,8,1,6]=>[7,5,8,4,2,6,1,3]=>[2,4,1,5,7,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[4,5,6,2,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[4,5,6,2,1,3,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[4,5,6,1,3,2,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[4,5,6,3,1,2,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[4,5,7,3,2,8,1,6]=>[7,5,8,4,2,6,1,3]=>[2,4,1,5,7,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[4,6,7,3,8,2,5,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,5,7,3,1,8,2,6]=>[7,5,8,4,2,6,1,3]=>[2,4,1,5,7,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[4,5,7,1,3,8,2,6]=>[7,5,8,4,2,6,1,3]=>[2,4,1,5,7,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[3,5,1,7,4,8,2,6]=>[7,5,3,8,2,6,1,4]=>[2,4,6,1,7,3,8,5]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[2,1,5,7,4,8,3,6]=>[2,1,7,8,5,6,3,4]=>[7,8,2,1,4,3,6,5]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]
[3,5,1,7,4,8,6,2]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[4,6,7,3,8,1,5,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,6,7,3,8,5,1,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,6,7,3,8,5,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,6,7,8,3,1,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,6,7,8,1,3,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,6,7,1,8,3,5,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,6,1,7,8,4,5,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,1,6,7,8,4,5,3]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,6,7,8,4,3,5]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[3,6,1,7,8,4,2,5]=>[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[5,6,7,8,1,3,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,5,7,2,1,8,3,6]=>[7,5,8,4,2,6,1,3]=>[2,4,1,5,7,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[4,6,7,2,8,3,5,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,6,2,7,8,4,5,1]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,6,2,7,8,4,1,5]=>[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[3,6,2,7,8,1,4,5]=>[6,8,3,7,5,1,4,2]=>[3,1,6,2,4,8,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[3,5,2,7,1,8,4,6]=>[5,7,3,8,1,6,2,4]=>[4,2,6,1,8,3,7,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[3,4,2,1,7,8,5,6]=>[4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[3,4,1,2,7,8,6,5]=>[4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[3,5,2,7,1,8,6,4]=>[5,8,3,7,1,6,4,2]=>[4,1,6,2,8,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[3,6,2,7,8,1,5,4]=>[6,8,3,7,5,1,4,2]=>[3,1,6,2,4,8,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[3,6,2,7,8,5,1,4]=>[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[3,6,2,7,8,5,4,1]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,6,7,2,8,5,3,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,6,7,2,8,5,1,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,6,7,2,8,1,5,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,5,1,7,2,8,6,4]=>[5,8,3,7,1,6,4,2]=>[4,1,6,2,8,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[2,1,6,7,8,3,5,4]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[3,6,1,7,8,2,5,4]=>[6,8,3,7,5,1,4,2]=>[3,1,6,2,4,8,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[4,6,7,1,8,2,5,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,6,7,8,1,2,4,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,6,7,8,2,1,4,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,6,7,8,2,4,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,6,7,8,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,6,7,8,1,4,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,6,7,1,8,5,2,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,6,1,7,8,5,2,4]=>[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[2,1,6,7,8,5,3,4]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[3,6,1,7,8,5,4,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,6,7,1,8,5,3,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,6,7,8,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,6,7,8,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,1,6,7,8,5,4,3,10,9]=>[2,1,8,7,6,5,4,3,10,9]=>[9,10,3,4,5,6,7,8,1,2]=>[[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[5,6,7,8,4,3,2,1,10,9]=>[8,7,6,5,4,3,2,1,10,9]=>[3,4,5,6,7,8,9,10,1,2]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]]
[5,7,8,9,4,10,6,3,2,1]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[6,7,8,9,10,4,5,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[6,7,8,9,10,1,4,5,3,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[6,7,8,9,10,1,4,5,2,3]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[6,7,8,9,10,4,5,2,3,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[6,7,8,9,10,4,3,2,1,5]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[6,7,8,9,10,3,4,5,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[6,7,8,9,10,3,4,5,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[6,7,8,9,10,1,3,4,5,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[6,7,8,9,10,3,4,1,2,5]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[6,7,8,9,10,3,4,2,1,5]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[6,7,8,9,10,2,3,4,1,5]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[6,7,8,9,10,2,3,4,5,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[2,1,4,3,6,5,9,10,8,7]=>[2,1,4,3,6,5,10,9,8,7]=>[9,10,7,8,5,6,1,2,3,4]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,[.,[.,.]]]]
[2,1,5,6,4,3,9,10,8,7]=>[2,1,6,5,4,3,10,9,8,7]=>[9,10,5,6,7,8,1,2,3,4]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[4,5,6,3,2,1,9,10,8,7]=>[6,5,4,3,2,1,10,9,8,7]=>[5,6,7,8,9,10,1,2,3,4]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]]
[4,7,8,3,9,10,6,5,2,1]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[2,1,4,3,8,9,10,7,6,5]=>[2,1,4,3,10,9,8,7,6,5]=>[9,10,7,8,1,2,3,4,5,6]=>[[[.,[.,.]],[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[3,4,2,1,8,9,10,7,6,5]=>[4,3,2,1,10,9,8,7,6,5]=>[7,8,9,10,1,2,3,4,5,6]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,7,8,9,10,6,5,4,3]=>[2,1,10,9,8,7,6,5,4,3]=>[9,10,1,2,3,4,5,6,7,8]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,8,9,10,1,5,4,3,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[6,7,8,9,10,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[6,5,8,7,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,6,7,4,5,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,6,7,4,5,1,8,3]=>[6,8,5,4,3,1,7,2]=>[3,1,4,5,6,8,2,7]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[1,6,7,4,5,2,3,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[1,5,4,7,6,2,3,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[2,5,4,7,6,1,8,3]=>[6,8,3,5,4,1,7,2]=>[3,1,6,4,5,8,2,7]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[4,5,3,7,8,6,1,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,4,3,8,7,6,1,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,4,8,3,7,5,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,3,8,4,5,7,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,3,4,8,6,7,1,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,2,5,6,1,8,7,4]=>[5,2,8,4,1,7,6,3]=>[4,7,1,5,8,2,3,6]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[4,2,5,6,8,1,7,3]=>[8,6,3,4,7,2,5,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[6,2,8,4,5,1,7,3]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[7,8,2,4,5,1,6,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,1,4,5,2,3,6]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,1,8,4,5,2,3,7]=>[7,2,8,6,5,4,1,3]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[5,1,4,8,6,2,3,7]=>[7,2,6,8,5,3,1,4]=>[2,7,3,1,4,6,8,5]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]
[4,1,3,2,8,6,5,7]=>[4,2,3,1,8,7,6,5]=>[5,7,6,8,1,2,3,4]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]
[5,1,3,8,2,6,4,7]=>[7,2,5,8,3,6,1,4]=>[2,7,4,1,6,3,8,5]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[6,1,8,3,2,5,4,7]=>[7,2,8,5,4,6,1,3]=>[2,7,1,4,5,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[7,8,2,3,1,5,6,4]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,2,3,8,1,6,7,4]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[7,8,3,2,1,6,5,4]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,8,4,2,6,1,5,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,5,3,7,1,6,8,4]=>[5,8,3,6,1,4,7,2]=>[4,1,6,3,8,5,2,7]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]
[1,5,3,7,2,6,4,8]=>[1,7,5,6,3,4,2,8]=>[8,2,4,3,6,5,7,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[1,6,7,3,2,5,4,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[2,6,7,3,1,5,8,4]=>[5,8,6,4,1,3,7,2]=>[4,1,3,5,8,6,2,7]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]
[3,6,7,2,1,8,5,4]=>[5,8,7,4,1,6,3,2]=>[4,1,2,5,8,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[7,8,5,6,2,1,4,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,5,8,7,1,2,3,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,4,1,8,7,2,3,6]=>[7,6,3,8,5,2,1,4]=>[2,3,6,1,4,7,8,5]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[6,4,8,1,7,2,3,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,8,3,1,2,6,4,5]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,3,1,8,2,7,4,6]=>[7,5,3,8,2,6,1,4]=>[2,4,6,1,7,3,8,5]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[4,3,1,2,8,7,5,6]=>[4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[4,2,1,3,8,5,7,6]=>[4,3,2,1,8,6,7,5]=>[5,6,7,8,1,3,2,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[5,2,1,8,3,4,7,6]=>[6,3,2,8,5,1,7,4]=>[3,6,7,1,4,8,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[6,2,8,1,3,4,7,5]=>[8,4,7,2,5,6,3,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[4,3,1,2,6,5,8,7]=>[4,3,2,1,6,5,8,7]=>[5,6,7,8,3,4,1,2]=>[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]
[7,3,1,5,2,8,4,6]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[8,4,5,1,2,7,3,6]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,4,5,1,2,8,3,6]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,4,5,1,2,3,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[5,4,6,1,2,3,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[2,1,6,5,3,4,8,7]=>[2,1,6,5,4,3,8,7]=>[7,8,3,4,5,6,1,2]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]
[3,6,1,5,2,4,8,7]=>[5,6,3,4,1,2,8,7]=>[4,3,6,5,8,7,1,2]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]
[4,6,5,1,2,3,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[5,6,4,1,2,3,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[6,5,4,1,2,3,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[7,5,4,1,2,8,3,6]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,6,4,1,7,2,3,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,6,4,1,8,2,3,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,7,4,1,8,2,3,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,7,4,1,2,8,3,6]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[4,7,5,1,2,8,3,6]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[3,7,1,5,2,8,4,6]=>[5,8,3,7,1,6,4,2]=>[4,1,6,2,8,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[3,8,1,5,2,7,4,6]=>[5,8,3,7,1,6,4,2]=>[4,1,6,2,8,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[4,8,5,1,2,7,3,6]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[5,8,4,1,2,7,3,6]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[6,8,4,1,7,2,3,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,7,4,1,6,2,3,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,8,6,7,1,2,3,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,8,1,6,7,2,4,5]=>[6,8,3,7,5,1,4,2]=>[3,1,6,2,4,8,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[2,1,8,6,7,3,4,5]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,7,6,8,3,4,5]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[3,7,1,6,8,2,4,5]=>[6,8,3,7,5,1,4,2]=>[3,1,6,2,4,8,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[5,7,6,8,1,2,3,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,4,7,1,2,8,3,6]=>[7,5,8,4,2,6,1,3]=>[2,4,1,5,7,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[6,4,7,1,8,2,3,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,4,6,1,8,2,3,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,4,6,1,7,2,3,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,3,1,7,2,8,4,6]=>[7,5,3,8,2,6,1,4]=>[2,4,6,1,7,3,8,5]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[4,3,1,2,7,8,5,6]=>[4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[2,1,4,3,8,7,5,6]=>[2,1,4,3,8,7,6,5]=>[7,8,5,6,1,2,3,4]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]
[3,4,1,2,8,7,5,6]=>[4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[8,4,7,1,6,2,3,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,4,8,1,6,2,3,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,4,8,1,2,7,3,6]=>[7,5,8,4,2,6,1,3]=>[2,4,1,5,7,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[4,5,8,1,2,7,3,6]=>[7,5,8,4,2,6,1,3]=>[2,4,1,5,7,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[3,5,1,8,2,7,4,6]=>[5,7,3,8,1,6,2,4]=>[4,2,6,1,8,3,7,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[2,1,5,8,3,7,4,6]=>[2,1,7,8,5,6,3,4]=>[7,8,2,1,4,3,6,5]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]
[2,1,6,8,7,3,4,5]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[3,6,1,8,7,2,4,5]=>[6,8,3,7,5,1,4,2]=>[3,1,6,2,4,8,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,7,1,8,6,2,4,5]=>[6,8,3,7,5,1,4,2]=>[3,1,6,2,4,8,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[2,1,7,8,6,3,4,5]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,8,7,6,3,4,5]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[3,8,1,7,6,2,4,5]=>[6,8,3,7,5,1,4,2]=>[3,1,6,2,4,8,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[5,8,7,6,1,2,3,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,7,5,1,2,3,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,4,7,3,8,5,1,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,4,7,3,5,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,4,7,2,5,1,8,3]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,4,2,7,6,1,3,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[5,4,3,7,8,6,1,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,4,8,3,5,7,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,4,3,8,6,7,1,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,4,2,6,7,1,8,3]=>[8,6,3,4,5,2,7,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[5,4,2,6,7,1,3,8]=>[7,6,3,4,5,2,1,8]=>[2,3,6,5,4,7,8,1]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[5,3,2,6,1,7,4,8]=>[7,5,3,4,2,6,1,8]=>[2,4,6,5,7,3,8,1]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[5,3,2,6,1,8,7,4]=>[8,5,3,4,2,7,6,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[5,4,2,6,8,1,7,3]=>[8,6,3,4,7,2,5,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[6,4,8,2,5,1,7,3]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[7,8,4,2,5,1,6,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,4,2,5,1,3,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,4,2,8,6,1,3,7]=>[7,6,3,8,5,2,1,4]=>[2,3,6,1,4,7,8,5]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[4,3,2,1,6,8,5,7]=>[4,3,2,1,7,8,5,6]=>[5,6,7,8,2,1,4,3]=>[[[.,[.,[.,[.,.]]]],.],[[.,.],.]]
[4,3,2,1,8,6,5,7]=>[4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[5,3,2,8,1,6,4,7]=>[7,5,3,8,2,6,1,4]=>[2,4,6,1,7,3,8,5]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[6,3,8,2,1,5,4,7]=>[7,5,8,4,2,6,1,3]=>[2,4,1,5,7,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[7,8,3,2,1,5,4,6]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,8,3,2,1,5,6,4]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,3,2,8,1,6,7,4]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[5,3,2,7,1,8,6,4]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[5,3,2,7,1,6,8,4]=>[8,5,3,6,2,4,7,1]=>[1,4,6,3,7,5,2,8]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[5,3,2,7,1,6,4,8]=>[7,5,3,6,2,4,1,8]=>[2,4,6,3,7,5,8,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[6,3,7,2,1,5,8,4]=>[8,5,6,4,2,3,7,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,3,7,2,1,4,8,5]=>[8,5,6,4,2,3,7,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[5,3,2,7,1,4,8,6]=>[6,5,3,8,2,1,7,4]=>[3,4,6,1,7,8,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[5,4,2,8,7,1,3,6]=>[7,6,3,8,5,2,1,4]=>[2,3,6,1,4,7,8,5]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[7,8,4,2,6,1,3,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,3,2,1,6,4,5]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,3,2,8,1,7,4,6]=>[7,5,3,8,2,6,1,4]=>[2,4,6,1,7,3,8,5]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[4,3,2,1,8,7,5,6]=>[4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[4,3,2,1,7,5,8,6]=>[4,3,2,1,8,6,7,5]=>[5,6,7,8,1,3,2,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[4,3,2,1,7,5,6,8]=>[4,3,2,1,7,6,5,8]=>[5,6,7,8,2,3,4,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[4,3,2,1,8,5,7,6]=>[4,3,2,1,8,6,7,5]=>[5,6,7,8,1,3,2,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[5,3,2,8,1,4,7,6]=>[6,5,3,8,2,1,7,4]=>[3,4,6,1,7,8,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[7,8,3,2,1,4,6,5]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,3,8,2,1,4,5,7]=>[7,5,8,4,2,6,1,3]=>[2,4,1,5,7,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[4,3,2,1,8,5,6,7]=>[4,3,2,1,8,6,7,5]=>[5,6,7,8,1,3,2,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[4,3,2,1,5,8,6,7]=>[4,3,2,1,5,8,7,6]=>[5,6,7,8,4,1,2,3]=>[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]]
[7,8,5,6,1,2,4,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,4,1,6,2,5,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,8,1,4,6,2,5,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,1,8,4,7,2,5,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,6,8,4,7,2,5,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,6,8,3,2,7,5,4]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[6,1,8,3,2,7,5,4]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[7,8,3,1,2,6,5,4]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,8,3,4,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,2,4,6,1,5,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,2,3,1,6,5,4]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,8,1,2,3,6,5,4]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[6,1,8,2,3,7,5,4]=>[8,2,7,4,5,6,3,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[1,6,8,2,3,7,5,4]=>[1,8,7,4,5,6,3,2]=>[8,1,2,5,4,3,6,7]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[1,5,2,8,3,7,6,4]=>[1,8,3,7,5,6,4,2]=>[8,1,6,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[5,1,2,8,3,7,6,4]=>[8,2,3,7,5,6,4,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[6,2,8,1,3,7,5,4]=>[8,4,7,2,5,6,3,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[6,2,8,4,7,1,5,3]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[6,3,8,4,7,5,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,6,8,4,7,5,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,6,8,4,7,1,5,3]=>[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[2,6,8,3,1,7,5,4]=>[5,8,7,4,1,6,3,2]=>[4,1,2,5,8,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[2,5,1,8,3,7,6,4]=>[3,8,1,7,5,6,4,2]=>[6,1,8,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,2,5,8,3,7,6,4]=>[1,2,8,7,5,6,4,3]=>[8,7,1,2,4,3,5,6]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[2,4,1,3,8,7,6,5]=>[3,4,1,2,8,7,6,5]=>[6,5,8,7,1,2,3,4]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]
[2,5,3,8,1,7,6,4]=>[5,8,3,7,1,6,4,2]=>[4,1,6,2,8,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[2,5,4,8,7,1,6,3]=>[6,8,3,7,5,1,4,2]=>[3,1,6,2,4,8,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[3,5,4,8,7,6,1,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,3,4,8,7,6,1,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,2,3,8,1,7,6,4]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[4,2,1,3,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[4,1,2,3,8,7,6,5]=>[4,2,3,1,8,7,6,5]=>[5,7,6,8,1,2,3,4]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]
[1,4,2,3,8,7,6,5]=>[1,4,3,2,8,7,6,5]=>[8,5,6,7,1,2,3,4]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]
[4,1,3,2,8,7,6,5]=>[4,2,3,1,8,7,6,5]=>[5,7,6,8,1,2,3,4]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]
[4,3,1,2,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[5,3,1,8,2,7,6,4]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[5,1,3,8,2,7,6,4]=>[8,2,5,7,3,6,4,1]=>[1,7,4,2,6,3,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[1,5,3,8,2,7,6,4]=>[1,8,5,7,3,6,4,2]=>[8,1,4,2,6,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,5,4,8,7,2,6,3]=>[1,8,6,7,5,3,4,2]=>[8,1,3,2,4,6,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[5,1,4,8,7,2,6,3]=>[8,2,6,7,5,3,4,1]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,1,5,8,7,2,6,3]=>[8,2,6,7,5,3,4,1]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[1,4,5,8,7,2,6,3]=>[1,8,6,7,5,3,4,2]=>[8,1,3,2,4,6,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[1,3,5,8,2,7,6,4]=>[1,5,8,7,2,6,4,3]=>[8,4,1,2,7,3,5,6]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[3,1,5,8,2,7,6,4]=>[5,2,8,7,1,6,4,3]=>[4,7,1,2,8,3,5,6]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[3,6,8,1,2,7,5,4]=>[5,8,7,4,1,6,3,2]=>[4,1,2,5,8,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[3,6,8,2,1,7,5,4]=>[5,8,7,4,1,6,3,2]=>[4,1,2,5,8,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[4,6,8,2,7,1,5,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,6,8,3,7,5,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,5,3,8,7,6,1,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,5,2,8,1,7,6,4]=>[5,8,3,7,1,6,4,2]=>[4,1,6,2,8,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[3,1,4,2,8,7,6,5]=>[4,2,3,1,8,7,6,5]=>[5,7,6,8,1,2,3,4]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]
[3,1,2,4,8,7,6,5]=>[3,2,1,4,8,7,6,5]=>[6,7,8,5,1,2,3,4]=>[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]
[3,2,5,8,1,7,6,4]=>[5,2,8,7,1,6,4,3]=>[4,7,1,2,8,3,5,6]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[4,3,5,8,7,6,1,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,4,5,8,7,6,1,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,4,5,8,7,1,6,3]=>[6,8,3,7,5,1,4,2]=>[3,1,6,2,4,8,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[2,3,5,8,1,7,6,4]=>[5,2,8,7,1,6,4,3]=>[4,7,1,2,8,3,5,6]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[4,1,3,2,6,5,8,7]=>[4,2,3,1,6,5,8,7]=>[5,7,6,8,3,4,1,2]=>[[[.,[[.,.],[.,.]]],[.,.]],[.,.]]
[5,1,3,2,6,4,8,7]=>[6,2,4,3,5,1,8,7]=>[3,7,5,6,4,8,1,2]=>[[.,[[[.,.],[.,.]],[.,.]]],[.,.]]
[6,1,3,2,5,4,8,7]=>[6,2,4,3,5,1,8,7]=>[3,7,5,6,4,8,1,2]=>[[.,[[[.,.],[.,.]],[.,.]]],[.,.]]
[7,1,3,2,5,4,8,6]=>[8,2,4,3,6,5,7,1]=>[1,7,5,6,3,4,2,8]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[8,1,3,2,5,4,7,6]=>[8,2,4,3,6,5,7,1]=>[1,7,5,6,3,4,2,8]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[8,1,4,2,5,3,7,6]=>[8,2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[7,1,4,2,5,3,8,6]=>[8,2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[6,1,4,2,5,3,8,7]=>[6,2,5,4,3,1,8,7]=>[3,7,4,5,6,8,1,2]=>[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]
[5,1,4,2,6,3,8,7]=>[6,2,4,3,5,1,8,7]=>[3,7,5,6,4,8,1,2]=>[[.,[[[.,.],[.,.]],[.,.]]],[.,.]]
[2,1,6,3,5,4,8,7]=>[2,1,6,4,5,3,8,7]=>[7,8,3,5,4,6,1,2]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]
[3,1,6,2,5,4,8,7]=>[4,2,6,1,5,3,8,7]=>[5,7,3,8,4,6,1,2]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]
[4,1,6,2,5,3,8,7]=>[6,2,5,4,3,1,8,7]=>[3,7,4,5,6,8,1,2]=>[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]
[6,2,5,1,4,3,8,7]=>[6,4,5,2,3,1,8,7]=>[3,5,4,7,6,8,1,2]=>[[.,[[.,.],[[.,.],[.,.]]]],[.,.]]
[5,2,6,1,4,3,8,7]=>[6,4,5,2,3,1,8,7]=>[3,5,4,7,6,8,1,2]=>[[.,[[.,.],[[.,.],[.,.]]]],[.,.]]
[5,2,7,1,4,3,8,6]=>[6,4,8,2,5,1,7,3]=>[3,5,1,7,4,8,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[5,2,8,1,4,3,7,6]=>[6,4,8,2,5,1,7,3]=>[3,5,1,7,4,8,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[6,2,8,1,4,3,7,5]=>[8,4,7,2,6,5,3,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,2,7,1,4,3,8,5]=>[8,4,6,2,5,3,7,1]=>[1,5,3,7,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[7,2,6,1,4,3,8,5]=>[8,4,6,2,5,3,7,1]=>[1,5,3,7,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[7,2,5,1,4,3,8,6]=>[8,4,6,2,5,3,7,1]=>[1,5,3,7,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[4,1,7,2,5,3,8,6]=>[6,2,8,4,5,1,7,3]=>[3,7,1,5,4,8,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[4,1,8,2,5,3,7,6]=>[6,2,8,4,5,1,7,3]=>[3,7,1,5,4,8,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[8,2,5,1,4,3,7,6]=>[8,4,6,2,5,3,7,1]=>[1,5,3,7,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[8,2,6,1,4,3,7,5]=>[8,4,7,2,6,5,3,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,1,4,3,8,2,6,5]=>[8,2,6,4,7,3,5,1]=>[1,7,3,5,2,6,4,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[8,1,4,3,7,2,6,5]=>[8,2,6,4,7,3,5,1]=>[1,7,3,5,2,6,4,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[8,1,5,3,7,2,6,4]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,1,5,3,8,2,6,4]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,2,6,1,5,3,7,4]=>[8,4,7,2,6,5,3,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[5,1,8,2,6,3,7,4]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[4,1,8,2,6,3,7,5]=>[6,2,8,4,7,1,5,3]=>[3,7,1,5,2,8,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[3,1,8,2,6,4,7,5]=>[4,2,8,1,7,6,5,3]=>[5,7,1,8,2,3,4,6]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[4,1,7,2,6,3,8,5]=>[6,2,8,4,5,1,7,3]=>[3,7,1,5,4,8,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[5,1,7,2,6,3,8,4]=>[8,2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[7,2,6,1,5,3,8,4]=>[8,4,6,2,5,3,7,1]=>[1,5,3,7,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[6,2,7,1,5,3,8,4]=>[8,4,6,2,5,3,7,1]=>[1,5,3,7,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[6,2,8,1,5,3,7,4]=>[8,4,7,2,6,5,3,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,1,5,2,6,3,7,4]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,1,5,2,7,3,8,4]=>[8,2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[6,1,4,2,7,3,8,5]=>[8,2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[8,1,4,2,6,3,7,5]=>[8,2,6,4,7,3,5,1]=>[1,7,3,5,2,6,4,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[8,1,3,2,6,4,7,5]=>[8,2,4,3,7,6,5,1]=>[1,7,5,6,2,3,4,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[7,1,3,2,6,4,8,5]=>[8,2,4,3,6,5,7,1]=>[1,7,5,6,3,4,2,8]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[6,1,3,2,7,4,8,5]=>[8,2,4,3,6,5,7,1]=>[1,7,5,6,3,4,2,8]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[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]=>[7,8,5,6,1,3,2,4]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[3,1,4,2,8,5,7,6]=>[4,2,3,1,8,6,7,5]=>[5,7,6,8,1,3,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[4,1,3,2,8,5,7,6]=>[4,2,3,1,8,6,7,5]=>[5,7,6,8,1,3,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[6,1,3,2,8,4,7,5]=>[8,2,4,3,7,6,5,1]=>[1,7,5,6,2,3,4,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[8,4,7,1,3,2,6,5]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[7,4,8,1,3,2,6,5]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[7,3,8,1,4,2,6,5]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[8,3,7,1,4,2,6,5]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[6,1,4,2,8,3,7,5]=>[8,2,6,4,7,3,5,1]=>[1,7,3,5,2,6,4,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[3,1,5,2,8,4,7,6]=>[4,2,6,1,8,3,7,5]=>[5,7,3,8,1,6,2,4]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[3,1,6,2,8,4,7,5]=>[4,2,8,1,7,6,5,3]=>[5,7,1,8,2,3,4,6]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[4,1,6,2,8,3,7,5]=>[6,2,8,4,7,1,5,3]=>[3,7,1,5,2,8,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[5,1,6,2,8,3,7,4]=>[8,2,6,4,7,3,5,1]=>[1,7,3,5,2,6,4,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[6,1,5,2,8,3,7,4]=>[8,2,6,4,7,3,5,1]=>[1,7,3,5,2,6,4,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[8,3,7,1,5,2,6,4]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[7,3,8,1,5,2,6,4]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[6,2,7,3,8,1,5,4]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[6,2,8,3,7,1,5,4]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[8,3,7,2,6,1,5,4]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[5,1,8,3,7,2,6,4]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,1,8,3,7,2,6,5]=>[6,2,8,4,7,1,5,3]=>[3,7,1,5,2,8,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[3,1,8,4,7,2,6,5]=>[6,2,8,4,7,1,5,3]=>[3,7,1,5,2,8,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[2,1,8,4,7,3,6,5]=>[2,1,8,6,7,4,5,3]=>[7,8,1,3,2,5,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[2,1,7,4,8,3,6,5]=>[2,1,8,6,7,4,5,3]=>[7,8,1,3,2,5,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[3,1,7,4,8,2,6,5]=>[6,2,8,4,7,1,5,3]=>[3,7,1,5,2,8,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[4,1,7,3,8,2,6,5]=>[6,2,8,4,7,1,5,3]=>[3,7,1,5,2,8,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[5,1,7,3,8,2,6,4]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,3,8,2,6,1,5,4]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[8,2,6,3,7,1,5,4]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[7,2,6,3,8,1,5,4]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[3,4,2,6,8,1,5,7]=>[6,3,2,7,8,1,4,5]=>[3,6,7,2,1,8,5,4]=>[[[.,[.,[.,.]]],.],[[[.,.],.],.]]
[5,3,6,2,8,1,4,7]=>[7,6,4,3,8,2,1,5]=>[2,3,5,6,1,7,8,4]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[5,3,6,2,4,8,1,7]=>[7,5,4,3,2,8,1,6]=>[2,4,5,6,7,1,8,3]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[5,7,3,8,2,4,1,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[5,7,3,8,2,4,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,4,2,5,8,3,6,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,4,2,5,8,3,1,6]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,3,1,6,8,2,4,7]=>[7,6,3,4,8,2,1,5]=>[2,3,6,5,1,7,8,4]=>[[.,[.,[[.,.],.]]],[[.,[.,.]],.]]
[5,6,2,8,1,3,4,7]=>[7,6,5,8,3,2,1,4]=>[2,3,4,1,6,7,8,5]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[3,5,6,1,4,8,2,7]=>[7,5,4,3,2,8,1,6]=>[2,4,5,6,7,1,8,3]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[4,1,5,6,3,8,2,7]=>[7,2,5,4,3,8,1,6]=>[2,7,4,5,6,1,8,3]=>[[.,[[.,.],[.,[.,.]]]],[[.,.],.]]
[4,5,6,3,2,8,1,7]=>[7,5,4,3,2,8,1,6]=>[2,4,5,6,7,1,8,3]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[7,4,5,3,8,2,1,6]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,4,5,3,8,2,6,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,7,4,8,3,2,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,4,8,3,2,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,4,1,8,3,2,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,4,5,3,1,8,2,6]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,7,1,5,8,3,2,6]=>[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[5,3,7,8,1,4,2,6]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[7,5,8,2,4,6,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,3,5,8,1,4,6,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,4,1,5,8,3,6,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,7,4,3,8,1,5,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,7,4,8,3,1,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,4,8,3,5,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,6,7,3,8,4,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,6,7,3,1,8,4,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,1,6,7,3,8,4,2]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[6,4,7,1,8,3,5,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,7,8,3,1,4,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,2,8,4,5,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,2,8,4,1,3,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,1,7,4,8,3,2,5]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,1,6,7,3,2,8,4]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[5,6,7,3,2,1,8,4]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,6,7,3,2,8,4,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,6,2,7,3,8,4,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,6,2,7,3,1,8,4]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,6,2,1,7,3,8,4]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[6,1,7,4,2,8,3,5]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[6,7,2,1,8,3,4,5]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[7,5,8,2,1,3,4,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,7,1,5,2,8,3,6]=>[7,8,3,5,4,6,1,2]=>[2,1,6,4,5,3,8,7]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[7,4,2,5,1,8,3,6]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,7,4,2,1,8,3,5]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,7,4,2,8,3,1,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,7,4,2,8,3,5,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,6,7,2,8,4,5,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,6,7,2,1,8,4,5]=>[5,8,7,4,1,6,3,2]=>[4,1,2,5,8,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[5,7,3,8,2,1,4,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[3,4,7,8,2,1,5,6]=>[6,5,8,7,2,1,4,3]=>[3,4,1,2,7,8,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]
[3,4,7,8,2,6,1,5]=>[7,5,8,6,2,4,1,3]=>[2,4,1,3,7,5,8,6]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[5,7,3,8,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,6,7,8,5,2,1,4]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[3,6,7,8,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,4,7,8,2,5,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,4,7,8,2,1,5,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,1,5,7,8,2,6,3]=>[8,2,6,7,5,3,4,1]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[5,3,7,8,1,6,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,2,8,5,1,3,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,4,1,7,8,2,5,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,1,6,2,7,8,4,3]=>[8,2,7,4,5,6,3,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[5,6,2,7,1,8,4,3]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,6,2,7,8,4,3,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,6,7,2,8,4,3,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,6,7,2,1,8,4,3]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,1,6,7,2,8,4,3]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[6,4,7,1,8,2,5,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,7,8,5,2,4,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,8,3,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,6,7,8,1,5,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,1,6,7,8,4,3,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,6,1,7,8,4,3,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,6,7,1,8,4,3,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,6,1,3,4,2,5,7]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,3,2,5,1,6,4,7]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[8,5,3,6,2,4,1,7]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,3,2,7,4,1,8,6]=>[6,5,3,8,2,1,7,4]=>[3,4,6,1,7,8,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[7,5,3,8,2,4,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,2,4,5,8,3,6,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,4,5,3,7,1,8,6]=>[6,4,3,2,8,1,7,5]=>[3,5,6,7,1,8,2,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[8,2,4,5,6,3,1,7]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,2,4,5,6,1,3,7]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[8,1,2,4,5,6,3,7]=>[8,2,3,7,5,6,4,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[8,2,5,1,3,6,4,7]=>[8,4,7,2,5,6,3,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[8,5,6,2,1,4,3,7]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,3,6,4,1,2,7]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,1,5,6,3,2,7]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,1,4,5,6,3,2,7]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,5,3,7,2,1,8,6]=>[6,5,3,8,2,1,7,4]=>[3,4,6,1,7,8,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[7,4,5,8,3,2,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,3,6,7,2,8,1,5]=>[7,5,8,4,2,6,1,3]=>[2,4,1,5,7,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[1,4,3,6,7,2,8,5]=>[1,6,3,8,5,2,7,4]=>[8,3,6,1,4,7,2,5]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[4,5,3,7,1,8,2,6]=>[7,5,3,8,2,6,1,4]=>[2,4,6,1,7,3,8,5]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[5,3,4,7,1,2,8,6]=>[6,5,3,8,2,1,7,4]=>[3,4,6,1,7,8,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[7,5,8,2,1,4,6,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,5,3,8,4,1,6,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,4,5,8,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,3,6,7,8,1,5,2]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[1,6,4,7,8,3,5,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,4,7,8,3,5,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,5,6,7,8,4,1,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,1,5,6,7,8,4,2]=>[8,2,7,4,5,6,3,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[4,6,1,7,8,3,5,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,6,7,1,4,8,5,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,2,4,1,7,8,5,3]=>[8,4,7,2,5,6,3,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[1,5,3,6,7,8,2,4]=>[1,8,7,4,5,6,3,2]=>[8,1,2,5,4,3,6,7]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[3,5,6,7,8,2,4,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,2,7,1,3,8,4,6]=>[7,4,8,2,5,6,1,3]=>[2,5,1,7,4,3,8,6]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[5,3,1,7,8,2,4,6]=>[7,6,3,8,5,2,1,4]=>[2,3,6,1,4,7,8,5]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[4,5,2,7,8,1,3,6]=>[7,6,3,8,5,2,1,4]=>[2,3,6,1,4,7,8,5]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[4,2,6,7,8,3,5,1]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[3,6,2,7,4,8,1,5]=>[7,8,3,5,4,6,1,2]=>[2,1,6,4,5,3,8,7]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[3,2,1,6,4,7,8,5]=>[3,2,1,8,5,6,7,4]=>[6,7,8,1,4,3,2,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[1,7,3,4,2,5,8,6]=>[1,8,5,4,3,6,7,2]=>[8,1,4,5,6,3,2,7]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[7,8,4,2,1,3,6,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,1,3,4,2,6,5]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,8,3,4,2,1,6,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,3,2,7,1,8,5,4]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[3,6,2,7,1,8,5,4]=>[5,8,3,7,1,6,4,2]=>[4,1,6,2,8,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[6,7,3,8,2,5,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,4,7,8,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,6,2,7,8,1,5,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,4,5,8,6,2,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,4,1,5,8,6,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,5,3,8,6,1,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,5,8,2,1,6,3,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,2,7,1,3,8,5,4]=>[8,4,7,2,5,6,3,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[4,6,1,7,8,5,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,1,2,6,7,8,4,3]=>[8,2,3,7,5,6,4,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[5,2,6,7,8,4,1,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,2,6,7,8,4,3,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,5,2,6,7,8,4,3]=>[1,8,3,7,5,6,4,2]=>[8,1,6,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,6,4,7,8,5,2,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,8,2,1,5,4,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,3,8,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,4,7,8,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,4,3,7,2,5,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,4,3,6,5,1,2,7]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,5,6,3,4,8,7,2]=>[1,8,5,4,3,7,6,2]=>[8,1,4,5,6,2,3,7]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[4,6,2,7,3,5,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,7,2,6,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,7,6,2,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,7,5,4,8,3,6,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,7,5,4,1,3,2,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,5,4,2,1,3,7]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[5,8,6,2,4,1,3,7]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[4,8,2,6,5,1,3,7]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[3,2,8,6,5,1,4,7]=>[6,2,8,7,5,1,4,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[7,1,5,4,8,2,6,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,5,4,7,6,2,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,8,6,7,4,5,3,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,1,6,7,4,5,2,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,1,6,8,4,2,5,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,1,7,8,2,4,5,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,1,7,2,8,4,6,3]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[4,1,2,7,8,5,6,3]=>[8,2,3,7,6,5,4,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[3,2,1,7,8,5,6,4]=>[3,2,1,8,7,6,5,4]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[3,2,8,7,1,5,4,6]=>[5,2,8,7,1,6,4,3]=>[4,7,1,2,8,3,5,6]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[4,8,2,7,1,5,3,6]=>[7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[5,8,7,2,1,4,3,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[6,8,7,1,2,4,3,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,8,6,1,4,2,3,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,7,6,1,4,3,2,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,7,6,8,4,3,5,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,6,7,8,3,4,5,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,6,7,1,3,4,2,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,6,8,1,3,2,4,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,7,8,2,1,3,4,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[4,7,2,8,1,3,5,6]=>[6,8,5,7,3,1,4,2]=>[3,1,4,2,6,8,5,7]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[3,2,6,8,4,1,5,7]=>[6,2,7,8,5,1,3,4]=>[3,7,2,1,4,8,6,5]=>[[[.,[.,.]],.],[.,[[[.,.],.],.]]]
[4,6,2,8,3,1,5,7]=>[6,7,5,8,3,1,2,4]=>[3,2,4,1,6,8,7,5]=>[[[.,.],[.,.]],[[.,[[.,.],.]],.]]
[5,6,8,2,3,1,4,7]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[6,5,8,3,2,1,4,7]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[7,5,8,3,1,2,4,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,7,3,1,4,2,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,5,7,3,8,4,6,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,4,3,7,8,5,6,2]=>[1,8,3,7,6,5,4,2]=>[8,1,6,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[8,4,3,7,1,5,2,6]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[6,4,3,8,2,1,5,7]=>[7,6,5,8,3,2,1,4]=>[2,3,4,1,6,7,8,5]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[4,5,2,3,8,1,6,7]=>[6,4,3,2,8,1,7,5]=>[3,5,6,7,1,8,2,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[4,5,2,3,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[6,4,3,1,2,8,7,5]=>[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[7,4,3,1,8,2,6,5]=>[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[8,4,3,1,7,6,2,5]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[1,5,8,3,7,6,4,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,5,1,3,7,6,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,5,1,3,8,2,6,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,5,1,3,2,8,7,4]=>[8,5,3,4,2,7,6,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[5,6,1,2,3,8,7,4]=>[8,5,3,4,2,7,6,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[4,6,2,1,3,8,7,5]=>[5,8,4,3,1,7,6,2]=>[4,1,5,6,8,2,3,7]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[3,2,7,1,8,4,6,5]=>[4,2,8,1,7,6,5,3]=>[5,7,1,8,2,3,4,6]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[4,7,2,1,8,3,6,5]=>[6,8,4,3,7,1,5,2]=>[3,1,5,6,2,8,4,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[6,7,1,8,2,3,5,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,6,1,8,3,2,5,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,6,1,7,3,5,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,6,8,7,3,5,4,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,7,8,6,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,7,1,6,5,3,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,8,1,6,5,2,3,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,8,1,7,2,5,3,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,8,2,1,7,6,3,5]=>[7,8,4,3,6,5,1,2]=>[2,1,5,6,3,4,8,7]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]
[3,2,8,1,7,6,4,5]=>[4,2,8,1,7,6,5,3]=>[5,7,1,8,2,3,4,6]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[4,1,2,8,7,6,5,3]=>[8,2,3,7,6,5,4,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[5,1,8,2,7,6,4,3]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,1,8,7,2,5,4,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,1,8,6,5,2,4,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,7,6,5,4,2,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,1,2,6,5,8,7,4]=>[3,2,1,8,5,7,6,4]=>[6,7,8,1,4,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[4,5,1,2,3,8,7,6]=>[5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[4,6,1,2,3,8,7,5]=>[5,8,3,4,1,7,6,2]=>[4,1,6,5,8,2,3,7]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[1,6,5,3,4,8,7,2]=>[1,8,5,4,3,7,6,2]=>[8,1,4,5,6,2,3,7]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[6,5,1,2,3,8,7,4]=>[8,5,3,4,2,7,6,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[6,4,1,2,3,8,7,5]=>[8,5,3,4,2,7,6,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[5,4,1,2,3,8,7,6]=>[5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[5,4,1,2,7,3,6,8]=>[6,4,3,2,7,1,5,8]=>[3,5,6,7,2,8,4,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[6,4,1,7,2,3,5,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[6,4,1,8,2,3,5,7]=>[7,6,3,8,5,2,1,4]=>[2,3,6,1,4,7,8,5]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[7,4,1,2,8,3,6,5]=>[8,6,3,4,7,2,5,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[7,1,5,2,8,4,6,3]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[1,7,5,3,8,4,6,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,5,3,7,4,6,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,1,5,2,7,4,6,3]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,4,1,2,7,3,6,5]=>[8,6,3,4,7,2,5,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[7,4,1,6,2,3,5,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[8,6,1,7,2,3,5,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,1,6,7,2,4,5,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,8,6,7,3,4,5,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,7,6,8,3,4,5,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,1,6,8,2,4,5,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,6,1,8,2,3,5,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,7,1,2,8,3,6,5]=>[6,8,3,4,7,1,5,2]=>[3,1,6,5,2,8,4,7]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[3,1,7,2,8,4,6,5]=>[4,2,8,1,7,6,5,3]=>[5,7,1,8,2,3,4,6]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[3,1,2,7,8,5,6,4]=>[3,2,1,8,7,6,5,4]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[1,4,3,8,7,5,6,2]=>[1,8,3,7,6,5,4,2]=>[8,1,6,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[4,1,2,8,7,5,6,3]=>[8,2,3,7,6,5,4,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[3,1,2,8,7,5,6,4]=>[3,2,1,8,7,6,5,4]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[3,1,8,2,7,4,6,5]=>[4,2,8,1,7,6,5,3]=>[5,7,1,8,2,3,4,6]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[3,1,8,7,2,4,5,6]=>[5,2,8,7,1,6,4,3]=>[4,7,1,2,8,3,5,6]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[3,1,7,6,2,4,5,8]=>[5,2,7,6,1,4,3,8]=>[4,7,2,3,8,5,6,1]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[4,8,1,6,2,3,5,7]=>[6,8,3,7,5,1,4,2]=>[3,1,6,2,4,8,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[4,8,1,7,2,3,5,6]=>[6,8,3,7,5,1,4,2]=>[3,1,6,2,4,8,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[4,8,1,2,7,3,6,5]=>[6,8,3,4,7,1,5,2]=>[3,1,6,5,2,8,4,7]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[5,1,8,2,7,4,6,3]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[1,5,8,3,7,4,6,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,6,8,7,3,4,5,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,1,8,7,2,4,5,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,8,1,7,2,3,5,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,8,7,1,2,3,4,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,7,6,1,2,3,4,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,8,1,6,2,3,5,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,1,8,6,2,4,5,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,7,8,6,3,4,5,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,7,6,3,4,5,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,1,7,6,2,4,5,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,7,1,6,2,3,5,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,2,5,1,6,4,8,7]=>[4,2,6,1,5,3,8,7]=>[5,7,3,8,4,6,1,2]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]
[4,2,5,3,7,6,8,1]=>[8,4,3,2,6,5,7,1]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[4,2,5,3,7,1,8,6]=>[6,4,3,2,8,1,7,5]=>[3,5,6,7,1,8,2,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[3,1,5,4,6,2,8,7]=>[6,2,4,3,5,1,8,7]=>[3,7,5,6,4,8,1,2]=>[[.,[[[.,.],[.,.]],[.,.]]],[.,.]]
[4,1,5,3,6,2,8,7]=>[6,2,4,3,5,1,8,7]=>[3,7,5,6,4,8,1,2]=>[[.,[[[.,.],[.,.]],[.,.]]],[.,.]]
[4,3,5,2,7,1,8,6]=>[6,4,3,2,8,1,7,5]=>[3,5,6,7,1,8,2,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[4,3,6,2,7,5,8,1]=>[8,4,6,2,5,3,7,1]=>[1,5,3,7,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[4,3,6,2,7,1,8,5]=>[6,4,8,2,5,1,7,3]=>[3,5,1,7,4,8,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[4,3,6,1,7,2,8,5]=>[6,4,8,2,5,1,7,3]=>[3,5,1,7,4,8,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[4,3,5,1,7,2,8,6]=>[6,4,3,2,8,1,7,5]=>[3,5,6,7,1,8,2,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[3,1,5,4,7,6,8,2]=>[8,2,4,3,6,5,7,1]=>[1,7,5,6,3,4,2,8]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[4,1,5,3,7,6,8,2]=>[8,2,4,3,6,5,7,1]=>[1,7,5,6,3,4,2,8]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[4,3,5,1,7,6,8,2]=>[8,4,3,2,6,5,7,1]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[4,3,6,1,7,5,8,2]=>[8,4,6,2,5,3,7,1]=>[1,5,3,7,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[4,3,6,5,7,1,8,2]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[5,3,6,4,7,2,8,1]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[5,3,6,4,7,1,8,2]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[5,3,6,1,7,4,8,2]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[5,1,6,3,7,4,8,2]=>[8,2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[4,1,6,3,7,5,8,2]=>[8,2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[3,1,6,4,7,5,8,2]=>[8,2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[2,1,6,4,7,5,8,3]=>[2,1,8,6,5,4,7,3]=>[7,8,1,3,4,5,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[2,1,6,4,7,3,8,5]=>[2,1,8,6,5,4,7,3]=>[7,8,1,3,4,5,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[3,1,6,4,7,2,8,5]=>[6,2,8,4,5,1,7,3]=>[3,7,1,5,4,8,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[4,1,6,3,7,2,8,5]=>[6,2,8,4,5,1,7,3]=>[3,7,1,5,4,8,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[5,1,6,3,7,2,8,4]=>[8,2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[5,3,6,1,7,2,8,4]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[5,3,6,2,7,1,8,4]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[5,3,6,2,7,4,8,1]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[5,2,6,3,7,4,8,1]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[5,2,6,3,7,1,8,4]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[5,2,6,1,7,3,8,4]=>[8,4,6,2,5,3,7,1]=>[1,5,3,7,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[4,2,5,1,7,3,8,6]=>[6,4,3,2,8,1,7,5]=>[3,5,6,7,1,8,2,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[4,2,6,1,7,3,8,5]=>[6,4,8,2,5,1,7,3]=>[3,5,1,7,4,8,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[4,2,6,3,7,1,8,5]=>[6,4,8,2,5,1,7,3]=>[3,5,1,7,4,8,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[4,2,6,3,7,5,8,1]=>[8,4,6,2,5,3,7,1]=>[1,5,3,7,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[3,2,6,4,7,5,8,1]=>[8,2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[3,2,6,4,7,1,8,5]=>[6,2,8,4,5,1,7,3]=>[3,7,1,5,4,8,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[3,2,5,1,7,4,8,6]=>[4,2,6,1,8,3,7,5]=>[5,7,3,8,1,6,2,4]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[3,2,4,1,7,5,8,6]=>[4,2,3,1,8,6,7,5]=>[5,7,6,8,1,3,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[3,1,4,2,7,6,8,5]=>[4,2,3,1,8,6,7,5]=>[5,7,6,8,1,3,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[3,2,6,5,7,1,8,4]=>[6,2,8,4,5,1,7,3]=>[3,7,1,5,4,8,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[4,2,6,5,7,3,8,1]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[4,2,6,5,7,1,8,3]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[4,2,6,1,7,5,8,3]=>[8,4,6,2,5,3,7,1]=>[1,5,3,7,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[4,2,5,1,7,6,8,3]=>[8,4,3,2,6,5,7,1]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[4,1,5,2,7,6,8,3]=>[8,2,4,3,6,5,7,1]=>[1,7,5,6,3,4,2,8]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[4,1,6,2,7,5,8,3]=>[8,2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[5,1,6,2,7,4,8,3]=>[8,2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[5,2,6,1,7,4,8,3]=>[8,4,6,2,5,3,7,1]=>[1,5,3,7,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[5,2,6,4,7,1,8,3]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[5,2,6,4,7,3,8,1]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[5,4,6,2,7,3,8,1]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[5,4,6,2,7,1,8,3]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[5,4,6,1,7,2,8,3]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[5,1,6,4,7,2,8,3]=>[8,2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[4,1,6,5,7,2,8,3]=>[8,2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[3,1,6,5,7,2,8,4]=>[6,2,8,4,5,1,7,3]=>[3,7,1,5,4,8,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[2,1,6,5,7,3,8,4]=>[2,1,8,6,5,4,7,3]=>[7,8,1,3,4,5,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[3,1,6,5,7,4,8,2]=>[8,2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[4,1,6,5,7,3,8,2]=>[8,2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[5,1,6,4,7,3,8,2]=>[8,2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[5,4,6,1,7,3,8,2]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[5,4,6,3,7,1,8,2]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[8,6,3,5,2,4,1,7]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,7,5,2,4,1,8,6]=>[6,8,5,4,3,1,7,2]=>[3,1,4,5,6,8,2,7]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[8,3,7,5,2,4,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,2,4,5,7,3,6,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,4,5,7,3,1,8,6]=>[6,5,3,8,2,1,7,4]=>[3,4,6,1,7,8,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[8,2,4,6,5,3,1,7]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,2,5,4,6,1,3,7]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[8,6,3,5,1,4,2,7]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,1,4,5,3,2,7]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,1,5,6,4,3,2,7]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,7,4,3,2,1,8,6]=>[6,8,5,4,3,1,7,2]=>[3,1,4,5,6,8,2,7]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[8,5,7,4,3,2,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,6,8,3,2,7,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,7,6,3,2,8,1,5]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[1,4,6,7,3,2,8,5]=>[1,6,8,5,4,2,7,3]=>[8,3,1,4,5,7,2,6]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]
[5,4,7,3,1,8,2,6]=>[7,5,8,4,2,6,1,3]=>[2,4,1,5,7,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[3,7,5,1,4,2,8,6]=>[6,8,5,4,3,1,7,2]=>[3,1,4,5,6,8,2,7]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[5,7,4,2,1,3,8,6]=>[6,8,5,4,3,1,7,2]=>[3,1,4,5,6,8,2,7]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[8,5,7,4,2,1,6,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,3,7,5,1,4,6,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,1,7,5,3,6,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,6,3,8,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,7,4,8,6,3,5,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,4,7,6,3,5,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,6,5,8,7,4,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,1,5,8,6,7,4,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,8,1,6,7,3,5,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,6,4,1,8,7,5,2]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[8,2,6,1,4,7,5,3]=>[8,4,7,2,6,5,3,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[2,7,6,8,1,4,3,5]=>[5,8,7,6,1,4,3,2]=>[4,1,2,3,8,5,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[3,7,1,6,4,8,2,5]=>[7,8,3,5,4,6,1,2]=>[2,1,6,4,5,3,8,7]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[1,7,3,5,6,8,2,4]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[3,6,8,5,7,2,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,3,5,7,6,8,1,4]=>[7,2,8,5,4,6,1,3]=>[2,7,1,4,5,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[4,2,6,8,7,3,5,1]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[3,7,2,6,4,8,1,5]=>[7,8,3,5,4,6,1,2]=>[2,1,6,4,5,3,8,7]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[3,2,6,1,4,7,8,5]=>[4,2,8,1,5,6,7,3]=>[5,7,1,8,4,3,2,6]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]
[5,3,7,2,1,8,4,6]=>[7,5,8,4,2,6,1,3]=>[2,4,1,5,7,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[8,7,6,1,3,4,2,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,5,7,3,2,1,6,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,3,6,7,2,1,5,4]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[3,7,8,6,2,1,5,4]=>[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[8,7,6,3,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,7,4,8,1,6,5,3]=>[5,8,7,6,1,4,3,2]=>[4,1,2,3,8,5,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[4,6,8,2,1,7,5,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,1,5,7,2,6,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,5,3,7,1,6,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,7,2,1,3,6,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,2,6,7,1,3,5,4]=>[8,5,7,6,2,4,3,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[8,3,6,1,7,5,2,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,6,1,8,7,2,5,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,1,2,5,6,7,4,3]=>[8,2,3,7,6,5,4,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[8,2,6,5,7,4,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,1,7,8,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[8,2,5,7,6,4,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,7,6,8,5,4,1,3]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[1,7,2,5,8,6,4,3]=>[1,8,3,7,6,5,4,2]=>[8,1,6,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,7,4,8,2,6,5,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,7,8,6,1,3,5,4]=>[5,8,7,6,1,4,3,2]=>[4,1,2,3,8,5,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[8,7,6,3,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,7,6,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,1,5,6,4,3,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,1,6,7,5,4,3,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,5,3,1,2,4,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[4,6,3,5,1,2,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[8,5,3,7,2,1,4,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,1,4,5,7,3,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,7,2,4,5,1,3,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,6,1,4,5,3,8,7]=>[3,6,1,5,4,2,8,7]=>[6,3,8,4,5,7,1,2]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]
[5,6,3,2,1,4,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[3,1,6,4,5,2,8,7]=>[6,2,5,4,3,1,8,7]=>[3,7,4,5,6,8,1,2]=>[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]
[8,3,7,4,5,1,2,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,8,7,4,1,6,3,5]=>[5,8,7,6,1,4,3,2]=>[4,1,2,3,8,5,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[8,1,7,4,2,6,3,5]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,7,8,4,5,1,2,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[2,1,8,7,5,3,4,6]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,6,8,5,7,3,4]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[5,6,3,8,1,7,2,4]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[3,7,6,4,5,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,5,7,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,1,8,4,7,6,2,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,4,8,3,5,6,7,1]=>[8,4,7,2,5,6,3,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[4,1,8,3,5,6,7,2]=>[8,2,7,4,5,6,3,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[8,4,1,3,5,6,7,2]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[7,5,8,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,5,3,8,4,1,7,2]=>[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[2,1,4,8,3,6,7,5]=>[2,1,5,8,3,7,6,4]=>[7,8,4,1,6,2,3,5]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]
[6,4,3,8,2,1,7,5]=>[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[7,3,8,4,2,6,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,3,1,2,5,6,7,4]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[3,1,8,2,5,6,7,4]=>[4,2,8,1,7,6,5,3]=>[5,7,1,8,2,3,4,6]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[2,3,8,1,5,6,7,4]=>[4,2,8,1,7,6,5,3]=>[5,7,1,8,2,3,4,6]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[4,3,8,2,5,6,7,1]=>[8,4,7,2,5,6,3,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[2,8,1,3,5,6,7,4]=>[3,8,1,4,7,6,5,2]=>[6,1,8,5,2,3,4,7]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[7,8,2,4,3,6,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,3,2,4,1,7,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,1,8,3,4,6,7,5]=>[2,1,8,4,5,7,6,3]=>[7,8,1,5,4,2,3,6]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]
[2,1,7,8,5,4,3,6]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[5,7,3,8,1,4,2,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[7,1,8,4,5,3,2,6]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,7,8,4,5,3,1,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[8,7,1,4,3,6,2,5]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,8,7,4,2,6,1,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[5,7,8,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,6,3,8,4,2,7,1]=>[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[4,8,3,6,2,1,7,5]=>[6,8,5,7,3,1,4,2]=>[3,1,4,2,6,8,5,7]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[8,6,3,1,4,2,7,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,5,3,8,2,4,1,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,4,3,1,8,5,7,6]=>[4,3,2,1,8,6,7,5]=>[5,6,7,8,1,3,2,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[4,1,3,2,6,8,7,5]=>[4,2,3,1,8,7,6,5]=>[5,7,6,8,1,2,3,4]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]
[7,5,3,6,2,8,1,4]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,6,3,5,1,2,7,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,3,2,6,1,7,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,5,8,4,7,6,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,8,2,4,7,6,1,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,7,5,4,1,6,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,7,6,4,5,8,1,3]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[7,1,6,4,5,8,2,3]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[5,7,3,6,1,8,2,4]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,8,3,5,2,1,7,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,5,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,1,4,2,5,6,7,3]=>[8,2,7,4,5,6,3,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[4,8,1,2,5,6,7,3]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[3,4,8,1,5,6,7,2]=>[8,4,7,2,5,6,3,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[2,4,1,8,5,6,7,3]=>[3,8,1,7,5,6,4,2]=>[6,1,8,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[4,1,2,8,5,6,7,3]=>[8,2,3,7,5,6,4,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[7,5,2,4,8,6,1,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,5,3,2,8,1,7,4]=>[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[6,4,3,5,8,1,7,2]=>[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[7,3,5,4,8,6,1,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,1,4,8,5,6,7,2]=>[8,2,3,7,5,6,4,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[6,5,3,7,2,8,4,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,3,7,4,5,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,7,2,4,5,8,3,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,1,7,4,8,6,3,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,5,7,4,8,6,3,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,6,3,7,1,8,4,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,8,7,4,5,2,1,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[3,7,5,4,8,6,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,7,1,4,8,6,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,6,3,1,8,2,7,4]=>[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[4,6,3,5,8,2,7,1]=>[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[4,6,3,8,1,2,7,5]=>[6,8,5,7,3,1,4,2]=>[3,1,4,2,6,8,5,7]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[3,7,8,4,1,6,2,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[3,2,5,1,6,8,4,7]=>[4,2,7,1,5,8,3,6]=>[5,7,2,8,4,1,6,3]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]
[3,5,2,4,7,1,8,6]=>[6,4,3,2,8,1,7,5]=>[3,5,6,7,1,8,2,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[4,2,5,8,3,7,6,1]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[4,2,6,5,3,8,1,7]=>[7,5,4,3,2,8,1,6]=>[2,4,5,6,7,1,8,3]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[6,3,5,1,4,8,2,7]=>[7,5,4,3,2,8,1,6]=>[2,4,5,6,7,1,8,3]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[5,1,6,4,3,8,2,7]=>[7,2,5,4,3,8,1,6]=>[2,7,4,5,6,1,8,3]=>[[.,[[.,.],[.,[.,.]]]],[[.,.],.]]
[5,4,3,2,7,1,8,6]=>[6,4,3,2,8,1,7,5]=>[3,5,6,7,1,8,2,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[5,4,3,8,2,7,6,1]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[4,3,6,2,8,7,5,1]=>[8,4,7,2,6,5,3,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[4,3,7,6,2,1,8,5]=>[6,5,8,4,2,1,7,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[6,4,3,1,7,2,8,5]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[7,5,4,3,1,8,2,6]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[1,4,7,5,8,3,2,6]=>[1,7,8,6,5,4,2,3]=>[8,2,1,3,4,5,7,6]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[7,1,3,5,8,4,2,6]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,2,5,8,4,1,3,6]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[2,8,5,7,4,6,1,3]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[3,5,8,7,1,4,6,2]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[1,4,5,8,7,3,6,2]=>[1,8,6,7,5,3,4,2]=>[8,1,3,2,4,6,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[1,5,4,8,7,3,6,2]=>[1,8,6,7,5,3,4,2]=>[8,1,3,2,4,6,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[6,4,3,8,1,7,5,2]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[4,3,7,1,8,6,5,2]=>[8,4,7,2,6,5,3,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[4,8,3,7,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,3,8,7,6,4,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,5,3,1,8,6,4,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,8,6,5,3,7,4,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,5,8,6,3,7,4,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,6,1,8,7,3,5,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,8,7,3,1,4,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,2,8,7,4,5,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,2,8,4,1,3,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,3,1,6,8,4,2,5]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,7,6,4,8,3,2,5]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,1,7,5,3,2,8,4]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[7,6,5,3,2,1,8,4]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,5,3,2,8,7,4,1]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[5,2,6,3,8,7,4,1]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[5,2,7,6,3,1,8,4]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,5,2,1,7,3,8,4]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[5,2,7,4,1,8,3,6]=>[7,5,8,4,2,6,1,3]=>[2,4,1,5,7,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[4,7,2,6,3,1,8,5]=>[6,8,5,4,3,1,7,2]=>[3,1,4,5,6,8,2,7]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[2,4,8,6,3,7,5,1]=>[8,5,7,6,2,4,3,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[3,8,6,2,4,7,5,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,3,6,2,4,1,8,5]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,6,7,2,1,4,8,5]=>[5,8,6,4,1,3,7,2]=>[4,1,3,5,8,6,2,7]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]
[4,3,7,8,2,1,5,6]=>[6,5,8,7,2,1,4,3]=>[3,4,1,2,7,8,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]
[8,3,7,1,4,6,2,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,8,2,5,7,1,6,4]=>[6,8,3,7,5,1,4,2]=>[3,1,6,2,4,8,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[8,3,6,2,7,1,5,4]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[7,8,3,6,2,1,5,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,3,6,2,5,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,7,8,2,1,6,5,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,2,6,8,1,7,5,3]=>[8,5,7,6,2,4,3,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[5,4,8,2,7,1,6,3]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[4,8,1,5,7,2,6,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,8,3,7,1,6,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,7,2,6,1,3,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,2,7,5,1,3,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,1,6,8,2,7,4,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,5,2,8,1,7,4,3]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[5,2,7,1,8,6,4,3]=>[8,4,7,2,6,5,3,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[5,8,2,7,6,4,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,2,8,7,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,2,1,8,5,4,3]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[6,1,7,2,8,5,4,3]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,5,1,8,2,6,4,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,7,1,8,6,2,5,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,8,3,1,6,5,2,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,7,4,6,1,5,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,7,1,6,4,3,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,8,1,7,5,4,3,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,1,8,6,5,4,3,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,4,2,7,3,5,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,4,2,6,3,5,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,4,2,6,3,1,5,7]=>[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[4,7,2,6,3,5,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,7,6,2,3,4,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,7,5,2,8,3,4,6]=>[1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[6,8,5,2,3,1,4,7]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[5,8,6,2,3,1,4,7]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[4,8,2,6,3,1,5,7]=>[6,8,5,7,3,1,4,2]=>[3,1,4,2,6,8,5,7]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[3,2,8,6,4,1,5,7]=>[6,2,8,7,5,1,4,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[7,1,5,2,8,3,4,6]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[1,8,5,2,7,3,4,6]=>[1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,8,6,7,2,3,4,5]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,1,6,7,2,3,4,5]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,1,6,8,2,3,4,5]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,2,1,7,8,4,5,6]=>[3,2,1,8,7,6,5,4]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[3,2,8,7,1,4,5,6]=>[5,2,8,7,1,6,4,3]=>[4,7,1,2,8,3,5,6]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[5,8,7,2,1,3,4,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[1,7,6,8,2,3,4,5]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,5,8,2,3,1,4,7]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[8,5,7,2,1,3,4,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,4,2,8,3,1,5,7]=>[7,6,5,8,3,2,1,4]=>[2,3,4,1,6,7,8,5]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[5,4,2,3,8,1,6,7]=>[6,4,3,2,8,1,7,5]=>[3,5,6,7,1,8,2,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[3,2,5,4,1,8,6,7]=>[5,2,4,3,1,8,7,6]=>[4,7,5,6,8,1,2,3]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]
[4,5,2,3,1,8,6,7]=>[5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[5,4,2,3,1,8,6,7]=>[5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[6,4,2,1,3,8,5,7]=>[7,5,4,3,2,8,1,6]=>[2,4,5,6,7,1,8,3]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[7,4,2,1,8,3,5,6]=>[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[8,4,2,1,7,3,5,6]=>[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[1,4,2,8,7,3,5,6]=>[1,6,3,8,7,2,5,4]=>[8,3,6,1,2,7,4,5]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]
[4,6,2,1,3,8,5,7]=>[5,7,4,3,1,8,2,6]=>[4,2,5,6,8,1,7,3]=>[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]
[3,2,6,1,4,8,5,7]=>[4,2,7,1,5,8,3,6]=>[5,7,2,8,4,1,6,3]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]
[3,2,7,1,8,4,5,6]=>[4,2,8,1,7,6,5,3]=>[5,7,1,8,2,3,4,6]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[4,7,2,1,8,3,5,6]=>[6,8,4,3,7,1,5,2]=>[3,1,5,6,2,8,4,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[7,6,1,8,2,3,4,5]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,6,1,7,2,3,4,5]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,6,8,7,2,3,4,5]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,7,8,6,2,3,4,5]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,8,1,6,2,3,4,5]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,8,1,7,2,3,4,5]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,8,2,1,7,3,5,6]=>[6,8,4,3,7,1,5,2]=>[3,1,5,6,2,8,4,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[3,2,8,1,7,4,5,6]=>[4,2,8,1,7,6,5,3]=>[5,7,1,8,2,3,4,6]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[3,2,1,8,7,4,5,6]=>[3,2,1,8,7,6,5,4]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[5,1,8,2,7,3,4,6]=>[7,2,8,4,6,5,1,3]=>[2,7,1,5,3,4,8,6]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[6,1,8,7,2,3,4,5]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,7,6,2,3,4,5]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,8,7,6,2,3,4,5]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,3,5,1,2,4,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[8,3,7,5,2,1,4,6]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[6,3,7,5,1,8,4,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,5,2,7,1,8,3,4]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,5,2,7,4,1,3,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,6,1,5,4,3,8,7]=>[3,6,1,5,4,2,8,7]=>[6,3,8,4,5,7,1,2]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]
[6,4,3,5,1,2,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[5,7,4,6,2,8,3,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,1,4,7,2,6,3,5]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,4,7,8,5,2,1,6]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[2,1,8,5,7,3,4,6]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[8,6,3,5,1,7,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,2,4,6,7,3,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,4,8,6,5,7,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,5,4,8,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,1,4,6,8,2,7,3]=>[8,2,6,4,7,3,5,1]=>[1,7,3,5,2,6,4,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[2,5,4,6,7,1,8,3]=>[6,8,3,4,5,1,7,2]=>[3,1,6,5,4,8,2,7]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]
[2,4,6,3,7,5,8,1]=>[8,4,6,2,5,3,7,1]=>[1,5,3,7,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[4,1,6,3,8,5,7,2]=>[8,2,6,4,7,3,5,1]=>[1,7,3,5,2,6,4,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[3,7,4,2,8,6,5,1]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[7,4,1,3,5,8,6,2]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[6,5,8,4,1,7,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,3,7,4,1,6,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,1,4,8,3,7,6,5]=>[2,1,5,8,3,7,6,4]=>[7,8,4,1,6,2,3,5]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]
[7,4,3,8,2,1,6,5]=>[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[6,3,7,4,1,8,2,5]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,3,1,2,5,7,6,4]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[3,1,8,2,7,6,5,4]=>[4,2,8,1,7,6,5,3]=>[5,7,1,8,2,3,4,6]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[2,3,8,1,6,7,5,4]=>[4,2,8,1,7,6,5,3]=>[5,7,1,8,2,3,4,6]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[4,3,7,2,6,8,5,1]=>[8,4,7,2,5,6,3,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[4,7,2,3,8,5,6,1]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[2,8,1,3,6,5,7,4]=>[3,8,1,4,7,6,5,2]=>[6,1,8,5,2,3,4,7]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[2,7,8,5,4,3,1,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[8,7,1,6,3,4,2,5]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,8,6,7,2,4,1,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[5,3,8,7,4,2,6,1]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[4,3,8,7,2,1,6,5]=>[6,5,8,7,2,1,4,3]=>[3,4,1,2,7,8,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]
[8,3,6,1,4,2,7,5]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[7,3,5,8,2,4,1,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,3,4,1,8,5,7,6]=>[4,2,3,1,8,6,7,5]=>[5,7,6,8,1,3,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[4,1,3,2,6,7,8,5]=>[4,2,3,1,8,6,7,5]=>[5,7,6,8,1,3,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[8,3,5,6,2,7,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,3,6,1,8,7,2,4]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[5,6,2,8,7,4,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,5,6,1,4,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,8,6,5,4,7,1,3]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[8,1,6,4,5,7,2,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,8,3,6,1,7,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,1,8,6,5,7,3,4]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,7,5,3,6,8,4]=>[2,1,8,6,5,4,7,3]=>[7,8,1,3,4,5,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[6,7,3,5,2,1,8,4]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,1,4,2,5,6,8,3]=>[8,2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[4,6,1,2,8,7,3,5]=>[7,8,3,4,6,5,1,2]=>[2,1,6,5,3,4,8,7]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]
[2,4,1,5,8,7,6,3]=>[3,8,1,4,7,6,5,2]=>[6,1,8,5,2,3,4,7]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[6,4,2,1,5,8,7,3]=>[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[8,5,2,4,6,1,7,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,5,3,2,6,8,1,4]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,1,5,3,6,8,7,4]=>[2,1,8,4,5,7,6,3]=>[7,8,1,5,4,2,3,6]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]
[7,3,5,4,6,1,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,1,4,5,6,8,7,2]=>[8,2,3,4,5,7,6,1]=>[1,7,6,5,4,2,3,8]=>[.,[[[[[.,.],.],.],.],[.,[.,.]]]]
[6,5,2,1,4,3,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[6,5,2,7,4,8,3,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,5,2,7,4,1,6,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,3,7,5,2,1,6,4]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[6,3,7,5,2,8,4,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,1,6,5,4,2,8,7]=>[6,2,5,4,3,1,8,7]=>[3,7,4,5,6,8,1,2]=>[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]
[5,6,3,2,4,1,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[3,6,2,4,1,5,8,7]=>[5,6,3,4,1,2,8,7]=>[4,3,6,5,8,7,1,2]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]
[2,6,1,3,5,4,8,7]=>[3,6,1,4,5,2,8,7]=>[6,3,8,5,4,7,1,2]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]
[6,7,2,3,4,8,5,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,7,2,3,4,1,6,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,1,7,3,8,4,6,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,5,7,3,8,6,4,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,6,7,4,1,8,5,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,6,3,7,4,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,1,8,7,4,3,6,5]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[5,8,3,7,4,2,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,8,7,4,1,2,6,5]=>[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[7,8,1,3,5,2,6,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,8,7,3,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,8,6,3,1,5,7,4]=>[5,8,7,4,1,6,3,2]=>[4,1,2,5,8,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[8,1,6,3,2,5,4,7]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[2,8,4,1,6,3,7,5]=>[4,8,6,1,7,3,5,2]=>[5,1,3,8,2,6,4,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[4,8,1,2,7,6,3,5]=>[7,8,3,4,6,5,1,2]=>[2,1,6,5,3,4,8,7]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]
[3,8,4,2,5,7,1,6]=>[7,8,4,3,5,6,1,2]=>[2,1,5,6,4,3,8,7]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]
[6,8,3,5,2,7,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,5,3,2,8,7,1,4]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[7,5,2,4,8,1,6,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,4,1,8,7,6,5,3]=>[3,8,1,7,6,5,4,2]=>[6,1,8,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[8,4,2,1,7,5,3,6]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[4,3,1,8,6,7,5,2]=>[8,3,2,7,6,5,4,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[3,1,4,8,6,5,7,2]=>[8,2,3,7,6,5,4,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[7,1,6,5,4,8,2,3]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[3,7,5,6,8,4,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,7,1,6,8,2,4,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,6,2,5,1,7,4,3]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[5,6,2,1,8,7,3,4]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[4,6,2,5,8,3,7,1]=>[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[7,5,2,6,3,8,1,4]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,1,2,3,6,8,7,5]=>[4,2,3,1,8,7,6,5]=>[5,7,6,8,1,2,3,4]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]
[2,4,3,1,8,5,6,7]=>[4,3,2,1,8,6,7,5]=>[5,6,7,8,1,3,2,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[7,5,2,8,3,4,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,6,2,8,4,3,1,7]=>[7,6,5,8,3,2,1,4]=>[2,3,4,1,6,7,8,5]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[4,7,2,8,1,5,3,6]=>[7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[8,7,2,1,4,5,6,3]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[3,6,8,7,1,5,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,7,8,6,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,1,8,5,4,3,6,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,7,8,4,5,3,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,7,3,8,1,4,6,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,1,7,8,5,4,6,3]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,5,8,4,6,3,7]=>[2,1,7,8,5,6,3,4]=>[7,8,2,1,4,3,6,5]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]
[6,5,3,8,4,1,2,7]=>[7,6,5,8,3,2,1,4]=>[2,3,4,1,6,7,8,5]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[7,5,8,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,4,8,3,5,6,1,7]=>[7,4,8,2,5,6,1,3]=>[2,5,1,7,4,3,8,6]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[4,1,8,3,6,5,2,7]=>[7,2,8,4,6,5,1,3]=>[2,7,1,5,3,4,8,6]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[3,4,8,1,7,2,5,6]=>[6,4,8,2,7,1,5,3]=>[3,5,1,7,2,8,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[8,4,1,3,7,2,6,5]=>[8,6,3,4,7,2,5,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[4,3,8,2,5,1,7,6]=>[6,4,8,2,5,1,7,3]=>[3,5,1,7,4,8,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[6,3,8,4,2,5,7,1]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[7,4,3,8,2,5,1,6]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[2,1,4,8,3,5,7,6]=>[2,1,5,8,3,6,7,4]=>[7,8,4,1,6,3,2,5]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]
[6,8,2,4,3,5,1,7]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[2,8,4,1,6,5,3,7]=>[4,8,7,1,6,5,3,2]=>[5,1,2,8,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[2,8,4,1,6,5,7,3]=>[4,8,7,1,6,5,3,2]=>[5,1,2,8,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[2,8,7,6,1,4,3,5]=>[5,8,7,6,1,4,3,2]=>[4,1,2,3,8,5,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[2,8,5,6,7,4,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,5,8,6,1,4,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,5,7,6,1,4,2,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[3,5,7,2,4,1,6,8]=>[6,5,7,4,2,1,3,8]=>[3,4,2,5,7,8,6,1]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[7,5,8,2,4,1,6,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,8,5,3,4,7,6,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,8,5,3,4,1,7,6]=>[6,8,5,4,3,1,7,2]=>[3,1,4,5,6,8,2,7]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[2,8,5,3,4,1,6,7]=>[6,8,5,4,3,1,7,2]=>[3,1,4,5,6,8,2,7]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[2,8,7,6,1,4,5,3]=>[5,8,7,6,1,4,3,2]=>[4,1,2,3,8,5,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[2,8,5,6,7,4,1,3]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[2,8,5,3,4,7,1,6]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[2,8,5,3,4,6,1,7]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[2,8,5,3,4,6,7,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,5,2,7,3,1,4,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,5,2,8,3,1,7,4]=>[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[6,5,2,8,3,1,4,7]=>[7,6,5,8,3,2,1,4]=>[2,3,4,1,6,7,8,5]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[7,5,8,2,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,5,8,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,5,8,2,1,3,7,4]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[3,5,6,2,1,8,7,4]=>[5,8,4,3,1,7,6,2]=>[4,1,5,6,8,2,3,7]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[3,5,7,6,1,4,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,5,7,2,4,1,8,6]=>[6,5,8,4,2,1,7,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[3,5,7,2,4,6,8,1]=>[8,5,6,4,2,3,7,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[6,5,2,7,3,1,8,4]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,5,2,6,3,1,7,8]=>[6,5,3,4,2,1,7,8]=>[3,4,6,5,7,8,2,1]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[4,1,2,3,7,6,8,5]=>[4,2,3,1,8,6,7,5]=>[5,7,6,8,1,3,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[6,5,2,7,3,4,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,1,6,7,4,3,8,2]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[5,1,2,8,6,4,7,3]=>[8,2,3,7,6,5,4,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[5,1,6,8,7,3,4,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,5,2,8,3,7,4,1]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[4,1,2,3,8,7,5,6]=>[4,2,3,1,8,7,6,5]=>[5,7,6,8,1,2,3,4]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]
[4,1,2,3,8,6,5,7]=>[4,2,3,1,8,7,6,5]=>[5,7,6,8,1,2,3,4]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]
[4,1,2,3,8,6,7,5]=>[4,2,3,1,8,7,6,5]=>[5,7,6,8,1,2,3,4]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]
[4,1,2,3,7,6,5,8]=>[4,2,3,1,7,6,5,8]=>[5,7,6,8,2,3,4,1]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[4,1,2,3,8,5,7,6]=>[4,2,3,1,8,6,7,5]=>[5,7,6,8,1,3,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[7,1,6,8,4,3,5,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,1,2,8,4,5,7,3]=>[8,2,3,7,6,5,4,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[5,6,8,2,3,1,7,4]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[6,5,8,2,4,3,1,7]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[6,5,8,2,4,3,7,1]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[7,5,2,8,3,4,1,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,5,2,8,3,7,1,4]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[6,5,2,7,3,4,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,1,6,8,7,3,2,4]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,1,6,8,4,3,2,5]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,7,8,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,1,8,3,6,5,7,2]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[4,1,8,3,6,2,7,5]=>[6,2,8,4,7,1,5,3]=>[3,7,1,5,2,8,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[3,1,4,8,6,2,7,5]=>[6,2,3,8,7,1,5,4]=>[3,7,6,1,2,8,4,5]=>[[.,[[.,.],.]],[.,[[.,.],[.,.]]]]
[3,1,4,8,6,5,2,7]=>[7,2,3,8,6,5,1,4]=>[2,7,6,1,3,4,8,5]=>[[.,[[.,.],.]],[.,[.,[[.,.],.]]]]
[7,1,6,5,8,3,2,4]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,1,6,7,8,3,2,5]=>[7,2,8,6,5,4,1,3]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[4,1,6,5,7,3,2,8]=>[7,2,6,4,5,3,1,8]=>[2,7,3,5,4,6,8,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[4,5,2,6,3,7,1,8]=>[7,5,3,4,2,6,1,8]=>[2,4,6,5,7,3,8,1]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[4,5,2,7,3,8,1,6]=>[7,5,3,8,2,6,1,4]=>[2,4,6,1,7,3,8,5]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[3,5,6,2,4,8,7,1]=>[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[3,5,6,2,4,8,1,7]=>[7,5,4,3,2,8,1,6]=>[2,4,5,6,7,1,8,3]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[3,7,5,6,8,4,1,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,6,5,2,8,1,7,4]=>[6,8,4,3,7,1,5,2]=>[3,1,5,6,2,8,4,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[6,1,2,5,8,4,7,3]=>[8,2,3,6,7,4,5,1]=>[1,7,6,3,2,5,4,8]=>[.,[[[[.,.],.],.],[[.,.],[.,.]]]]
[7,1,6,5,8,3,4,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,5,2,6,3,8,4,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,1,2,3,5,8,7,6]=>[4,2,3,1,5,8,7,6]=>[5,7,6,8,4,1,2,3]=>[[[.,[[.,.],[.,.]]],.],[.,[.,.]]]
[4,1,2,3,7,8,6,5]=>[4,2,3,1,8,7,6,5]=>[5,7,6,8,1,2,3,4]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]
[4,5,2,7,3,8,6,1]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[4,1,6,7,8,3,5,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,1,2,6,8,5,7,3]=>[8,2,3,6,7,4,5,1]=>[1,7,6,3,2,5,4,8]=>[.,[[[[.,.],.],.],[[.,.],[.,.]]]]
[4,1,2,5,6,8,7,3]=>[8,2,3,4,5,7,6,1]=>[1,7,6,5,4,2,3,8]=>[.,[[[[[.,.],.],.],.],[.,[.,.]]]]
[7,8,5,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,4,2,1,5,3,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,2,1,6,5,3,4]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[6,4,1,2,5,7,3,8]=>[7,5,3,4,2,6,1,8]=>[2,4,6,5,7,3,8,1]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[2,4,8,1,5,7,3,6]=>[4,7,8,1,5,6,2,3]=>[5,2,1,8,4,3,7,6]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]
[4,3,8,1,7,2,5,6]=>[6,4,8,2,7,1,5,3]=>[3,5,1,7,2,8,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[6,3,1,4,7,2,5,8]=>[7,6,3,4,5,2,1,8]=>[2,3,6,5,4,7,8,1]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[7,8,3,4,5,1,6,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,3,5,4,2,1,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,4,1,2,3,6,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,2,1,5,3,4,6]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[7,8,2,6,4,1,3,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,2,5,6,4,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,1,6,5,4,3,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,1,8,7,5,4,3,6]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[1,3,8,2,6,4,7,5]=>[1,4,8,2,7,6,5,3]=>[8,5,1,7,2,3,4,6]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[5,3,7,1,6,4,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,3,6,2,7,4,1,8]=>[7,6,4,3,5,2,1,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[6,1,2,5,8,7,4,3]=>[8,2,3,7,6,5,4,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[6,4,2,1,5,3,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[6,4,3,7,5,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,3,8,7,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,4,7,1,5,3,6,8]=>[4,6,7,1,5,2,3,8]=>[5,3,2,8,4,7,6,1]=>[[[[.,.],.],[[.,.],[[.,.],.]]],.]
[1,3,7,6,4,2,8,5]=>[1,6,8,5,4,2,7,3]=>[8,3,1,4,5,7,2,6]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]
[3,7,2,8,6,4,1,5]=>[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[3,8,1,7,6,4,5,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,8,5,7,3,6,4,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,7,5,8,3,6,1,4]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[1,5,6,8,2,4,7,3]=>[1,8,6,7,5,3,4,2]=>[8,1,3,2,4,6,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[2,6,8,5,3,1,4,7]=>[6,7,8,5,4,1,2,3]=>[3,2,1,4,5,8,7,6]=>[[[.,.],.],[.,[.,[[[.,.],.],.]]]]
[5,6,7,3,8,4,1,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,2,8,1,4,7,3,6]=>[7,4,8,2,5,6,1,3]=>[2,5,1,7,4,3,8,6]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[4,6,7,5,2,1,3,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,5,6,7,2,8,1,3]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,5,7,6,1,8,3,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[1,5,8,6,2,7,3,4]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,6,5,8,3,2,7,4]=>[1,8,6,7,5,3,4,2]=>[8,1,3,2,4,6,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[4,6,5,7,1,2,8,3]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,7,5,6,3,1,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,1,6,3,4,2,8,7]=>[6,2,5,4,3,1,8,7]=>[3,7,4,5,6,8,1,2]=>[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]
[5,7,1,4,2,3,8,6]=>[6,8,3,5,4,1,7,2]=>[3,1,6,4,5,8,2,7]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[5,7,6,4,3,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,3,4,5,8,7,1,2]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[6,2,4,1,8,3,7,5]=>[8,4,6,2,7,3,5,1]=>[1,5,3,7,2,6,4,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[5,1,4,2,7,6,8,3]=>[8,2,4,3,6,5,7,1]=>[1,7,5,6,3,4,2,8]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[1,6,2,4,7,8,3,5]=>[1,8,3,7,5,6,4,2]=>[8,1,6,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[5,7,2,4,1,6,3,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,7,5,8,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,7,6,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,7,6,2,3,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,1,7,2,6,5,3,8]=>[7,2,6,4,5,3,1,8]=>[2,7,3,5,4,6,8,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[4,8,2,1,5,6,3,7]=>[7,8,4,3,5,6,1,2]=>[2,1,5,6,4,3,8,7]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]
[4,2,7,8,1,6,3,5]=>[7,5,8,6,2,4,1,3]=>[2,4,1,3,7,5,8,6]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[2,1,8,7,6,5,3,4]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[3,1,4,7,8,2,6,5]=>[6,2,3,8,7,1,5,4]=>[3,7,6,1,2,8,4,5]=>[[.,[[.,.],.]],[.,[[.,.],[.,.]]]]
[3,1,7,4,5,6,8,2]=>[8,2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[4,2,7,1,6,3,8,5]=>[6,4,8,2,5,1,7,3]=>[3,5,1,7,4,8,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[4,3,7,5,6,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,8,6,3,5,7,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,1,2,5,3,7,6]=>[6,8,3,4,5,1,7,2]=>[3,1,6,5,4,8,2,7]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]
[3,8,6,5,2,4,1,7]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[3,8,5,6,1,4,7,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,3,7,8,2,1,6,4]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[5,2,8,7,1,6,4,3]=>[8,5,7,6,2,4,3,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[1,6,8,7,5,2,4,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,6,7,8,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,7,6,8,5,2,1,4]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[3,7,8,5,1,2,4,6]=>[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[4,1,8,6,2,3,5,7]=>[6,2,8,7,5,1,4,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[4,7,8,6,3,5,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,8,7,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,1,7,6,5,3,4,8]=>[2,1,7,6,5,4,3,8]=>[7,8,2,3,4,5,6,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[2,8,1,6,4,5,3,7]=>[3,8,1,7,6,5,4,2]=>[6,1,8,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[2,8,7,5,1,4,3,6]=>[5,8,7,6,1,4,3,2]=>[4,1,2,3,8,5,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[2,8,6,7,5,1,3,4]=>[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[2,7,8,6,5,4,1,3]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[6,3,1,2,7,4,8,5]=>[8,4,3,2,6,5,7,1]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[6,4,2,7,1,3,8,5]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,4,2,5,1,3,8,6]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,5,3,6,1,8,2,4]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,5,3,6,1,7,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,3,6,2,4,7,1,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,3,6,2,4,8,1,5]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,6,2,7,1,4,8,5]=>[5,8,3,6,1,4,7,2]=>[4,1,6,3,8,5,2,7]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]
[5,3,6,7,1,2,8,4]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,3,7,4,1,2,8,5]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,7,1,5,2,3,8,6]=>[6,8,3,5,4,1,7,2]=>[3,1,6,4,5,8,2,7]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[3,7,5,1,2,4,8,6]=>[5,8,6,4,1,3,7,2]=>[4,1,3,5,8,6,2,7]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]
[7,6,4,2,3,8,1,5]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,6,4,2,3,7,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,7,4,2,3,8,1,6]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[3,7,6,1,4,8,2,5]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[5,7,2,6,1,8,3,4]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,4,7,5,2,8,1,3]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,4,8,5,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,2,6,3,7,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,8,6,1,2,7,4,5]=>[5,8,7,4,1,6,3,2]=>[4,1,2,5,8,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[6,8,4,3,7,1,2,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,5,3,7,1,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,8,5,7,1,2,4,6]=>[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[2,8,5,7,1,3,4,6]=>[5,8,7,6,1,4,3,2]=>[4,1,2,3,8,5,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[4,8,6,2,7,1,3,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[7,3,8,5,6,1,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,3,7,5,8,1,2,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,6,5,8,1,3,4,7]=>[5,7,6,8,1,3,2,4]=>[4,2,3,1,8,6,7,5]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]
[3,6,5,8,1,2,4,7]=>[6,7,5,8,3,1,2,4]=>[3,2,4,1,6,8,7,5]=>[[[.,.],[.,.]],[[.,[[.,.],.]],.]]
[5,4,6,7,2,8,1,3]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,6,3,7,1,8,2,5]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[3,5,7,1,4,8,2,6]=>[7,5,8,4,2,6,1,3]=>[2,4,1,5,7,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[5,3,7,2,4,8,1,6]=>[7,5,8,4,2,6,1,3]=>[2,4,1,5,7,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[7,4,6,3,8,1,2,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,4,6,3,7,1,2,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,1,6,7,2,3,5]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,4,1,6,8,2,3,5]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,4,1,7,8,2,3,6]=>[7,6,3,8,5,2,1,4]=>[2,3,6,1,4,7,8,5]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[6,5,3,7,1,8,2,4]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,5,1,2,7,8,3,4]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[6,3,7,4,8,5,1,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,7,1,5,8,6,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,5,3,8,1,6,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,4,1,8,6,2,3,5]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,6,1,8,5,2,3,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,6,1,7,5,2,3,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,7,2,8,1,6,3,4]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[6,4,7,8,2,5,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,3,7,8,5,1,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,4,8,7,1,3,5,6]=>[5,6,8,7,1,2,4,3]=>[4,3,1,2,8,7,5,6]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]
[4,3,8,7,1,2,5,6]=>[6,5,8,7,2,1,4,3]=>[3,4,1,2,7,8,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]
[5,3,8,7,1,2,4,6]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[8,3,7,6,1,2,4,5]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[8,4,7,6,1,2,3,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,4,8,7,1,2,3,6]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[3,5,8,7,1,2,4,6]=>[6,7,8,5,4,1,2,3]=>[3,2,1,4,5,8,7,6]=>[[[.,.],.],[.,[.,[[[.,.],.],.]]]]
[2,5,8,7,1,3,4,6]=>[5,7,8,6,1,4,2,3]=>[4,2,1,3,8,5,7,6]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]]
[4,6,8,2,7,1,3,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[4,7,1,8,6,2,3,5]=>[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[7,5,8,6,4,1,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,4,7,5,1,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,7,1,6,2,3,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,8,7,6,1,3,4,5]=>[5,8,7,6,1,4,3,2]=>[4,1,2,3,8,5,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[3,8,7,6,1,2,4,5]=>[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[4,8,7,6,1,2,3,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[5,6,3,1,4,2,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[7,5,3,8,2,1,6,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,8,7,4,5,1,6,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,1,7,8,5,3,6,4]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[5,7,3,8,1,2,6,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,1,4,5,3,2,6]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,7,8,4,1,6,5,3]=>[5,8,7,6,1,4,3,2]=>[4,1,2,3,8,5,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[7,1,8,4,2,6,5,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,5,1,4,8,6,3,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,5,3,1,8,4,7,2]=>[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[6,4,3,8,1,5,7,2]=>[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[8,6,3,1,2,5,7,4]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,7,1,4,2,6,5,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,3,8,4,1,6,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,3,4,5,6,7,8,1,9]=>[8,2,3,4,5,6,7,1,9]=>[2,8,7,6,5,4,3,9,1]=>[[.,[[[[[[.,.],.],.],.],.],[.,.]]],.]
[2,3,4,5,6,7,8,9,10,1]=>[10,2,3,4,5,6,7,8,9,1]=>[1,9,8,7,6,5,4,3,2,10]=>[.,[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]]
[2,3,4,5,6,7,1,8,9]=>[7,2,3,4,5,6,1,8,9]=>[3,8,7,6,5,4,9,2,1]=>[[[.,[[[[[.,.],.],.],.],[.,.]]],.],.]
[2,4,5,6,7,8,9,10,1,3]=>[9,10,3,4,5,6,7,8,1,2]=>[2,1,8,7,6,5,4,3,10,9]=>[[.,.],[[[[[[.,.],.],.],.],.],[[.,.],.]]]
[3,6,4,5,7,2,8,1]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[5,3,2,7,4,6,8,1]=>[8,5,3,6,2,4,7,1]=>[1,4,6,3,7,5,2,8]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[7,5,3,6,2,4,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,5,3,6,2,7,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,2,6,3,4,7,1,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,2,6,3,4,5,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,2,7,3,4,5,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,2,5,7,3,6,8,1]=>[8,5,3,6,2,4,7,1]=>[1,4,6,3,7,5,2,8]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[5,4,7,6,2,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,7,3,5,2,4,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,7,6,2,4,5,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[2,7,6,3,4,5,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,5,3,1,2,8,4,7]=>[7,5,4,3,2,8,1,6]=>[2,4,5,6,7,1,8,3]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[8,6,5,2,3,7,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,2,1,7,3,4,6]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[7,5,2,1,8,3,4,6]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[5,7,3,1,2,8,4,6]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[5,6,2,3,1,8,4,7]=>[7,5,4,3,2,8,1,6]=>[2,4,5,6,7,1,8,3]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[4,2,6,5,1,8,3,7]=>[7,5,4,3,2,8,1,6]=>[2,4,5,6,7,1,8,3]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[5,4,8,6,2,7,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,3,5,2,7,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,5,2,3,6,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,2,1,7,3,4,5]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[1,8,6,3,7,2,4,5]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,2,7,3,4,5,6]=>[1,8,3,7,5,6,4,2]=>[8,1,6,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[2,8,1,7,3,4,5,6]=>[3,8,1,7,5,6,4,2]=>[6,1,8,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[4,8,1,5,7,2,3,6]=>[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[4,2,8,3,7,1,5,6]=>[6,4,8,2,7,1,5,3]=>[3,5,1,7,2,8,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[4,1,7,5,8,2,3,6]=>[7,2,8,6,5,4,1,3]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[1,7,3,8,2,4,5,6]=>[1,8,5,7,3,6,4,2]=>[8,1,4,2,6,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[8,1,2,7,3,4,5,6]=>[8,2,3,7,5,6,4,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[4,2,5,7,1,8,3,6]=>[7,5,3,8,2,6,1,4]=>[2,4,6,1,7,3,8,5]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[3,6,2,7,1,8,4,5]=>[5,8,3,7,1,6,4,2]=>[4,1,6,2,8,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[7,2,6,1,8,3,4,5]=>[8,4,7,2,6,5,3,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,2,6,1,7,3,4,5]=>[8,4,7,2,6,5,3,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[5,4,6,3,8,7,1,2]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[3,6,4,5,8,7,1,2]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[6,5,3,4,8,7,1,2]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[5,3,2,8,7,1,4,6]=>[7,6,3,8,5,2,1,4]=>[2,3,6,1,4,7,8,5]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[5,3,1,8,7,2,4,6]=>[7,6,3,8,5,2,1,4]=>[2,3,6,1,4,7,8,5]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[8,5,3,7,6,1,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,1,8,3,7,2,4,5]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,3,8,1,7,2,4,5]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[7,6,8,2,3,5,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,3,8,2,5,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,4,7,8,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,2,5,8,7,1,3,6]=>[7,6,3,8,5,2,1,4]=>[2,3,6,1,4,7,8,5]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[3,6,2,8,7,1,4,5]=>[6,8,3,7,5,1,4,2]=>[3,1,6,2,4,8,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[2,3,8,7,1,4,5,6]=>[5,2,8,7,1,6,4,3]=>[4,7,1,2,8,3,5,6]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[7,2,8,6,1,3,4,5]=>[8,5,7,6,2,4,3,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[8,2,7,6,1,3,4,5]=>[8,5,7,6,2,4,3,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[1,2,8,7,3,4,5,6]=>[1,2,8,7,5,6,4,3]=>[8,7,1,2,4,3,5,6]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[1,3,8,7,2,4,5,6]=>[1,5,8,7,2,6,4,3]=>[8,4,1,2,7,3,5,6]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[1,7,8,3,6,2,4,5]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,1,5,8,7,2,3,6]=>[7,2,6,8,5,3,1,4]=>[2,7,3,1,4,6,8,5]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]
[5,4,8,7,6,1,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,3,7,5,1,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,6,2,5,1,3,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,1,6,7,3,2,5,4]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,6,7,3,2,4,5]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,5,3,7,2,4,6]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,5,3,6,2,4,7]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,5,1,3,6,2,4,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[7,5,8,3,6,2,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,4,8,3,2,6,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,4,1,3,2,6,5,8]=>[7,5,3,4,2,6,1,8]=>[2,4,6,5,7,3,8,1]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[8,1,5,4,6,7,2,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,5,3,6,2,7,4]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,4,1,3,2,5,6,8]=>[7,5,3,4,2,6,1,8]=>[2,4,6,5,7,3,8,1]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[7,4,8,3,2,5,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,4,3,8,2,5,7,1]=>[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[6,4,3,1,2,5,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[7,5,8,3,6,2,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,4,8,3,2,6,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,4,8,3,2,5,1,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,4,3,8,2,5,1,7]=>[7,6,5,8,3,2,1,4]=>[2,3,4,1,6,7,8,5]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[6,4,3,7,2,5,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,4,3,2,8,6,1,7]=>[7,4,3,2,8,6,1,5]=>[2,5,6,7,1,3,8,4]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]
[5,4,3,2,8,7,1,6]=>[7,4,3,2,8,6,1,5]=>[2,5,6,7,1,3,8,4]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]
[6,5,3,8,7,2,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,5,4,8,7,1,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,5,3,1,7,2,8,4]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[5,4,3,2,1,8,6,7]=>[5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[6,5,3,1,8,2,7,4]=>[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[6,5,4,1,8,7,2,3]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[7,5,1,4,8,6,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,4,1,3,2,8,6,5]=>[8,5,3,4,2,7,6,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[7,4,1,3,2,8,5,6]=>[8,5,3,4,2,7,6,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[6,4,3,1,2,8,5,7]=>[7,5,4,3,2,8,1,6]=>[2,4,5,6,7,1,8,3]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[6,4,3,1,2,7,5,8]=>[7,5,4,3,2,6,1,8]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[6,4,3,8,2,7,5,1]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[6,5,3,8,7,2,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,5,3,1,7,2,4,8]=>[7,6,4,3,5,2,1,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[6,5,3,1,8,2,4,7]=>[7,6,4,3,8,2,1,5]=>[2,3,5,6,1,7,8,4]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[7,5,1,3,8,2,4,6]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,6,1,8,3,2,4,5]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,6,1,8,4,5,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,6,8,1,4,5,2,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,6,8,1,3,2,5,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,5,3,7,8,2,4,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,4,3,7,2,8,5,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,4,3,7,2,1,5,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,4,8,3,2,1,5,6]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[7,4,8,3,2,1,6,5]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[7,5,8,3,1,2,6,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,5,8,4,1,6,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,5,4,8,1,7,2,3]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[6,5,3,8,1,2,7,4]=>[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[5,4,3,2,8,1,7,6]=>[6,4,3,2,8,1,7,5]=>[3,5,6,7,1,8,2,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[6,4,3,7,2,1,8,5]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,5,3,7,1,2,8,4]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,5,4,7,1,8,2,3]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,5,3,7,8,2,1,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,4,3,7,2,8,1,5]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,4,3,2,7,8,1,6]=>[7,4,3,2,8,6,1,5]=>[2,5,6,7,1,3,8,4]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]
[5,6,2,1,3,4,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[5,8,2,7,4,1,3,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[5,3,7,8,2,1,4,6]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[7,6,1,2,5,8,3,4]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[2,1,7,8,4,3,5,6]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[8,3,7,4,1,5,6,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,6,8,3,1,4,7,5]=>[5,8,7,4,1,6,3,2]=>[4,1,2,5,8,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[6,1,8,3,2,4,5,7]=>[7,2,8,5,4,6,1,3]=>[2,7,1,4,5,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[5,8,7,4,2,1,6,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,5,1,6,8,3,4,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,5,2,1,8,7,4,3]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[4,7,2,8,1,3,6,5]=>[6,8,5,7,3,1,4,2]=>[3,1,4,2,6,8,5,7]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[7,3,8,6,1,2,5,4]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[3,4,7,1,8,2,6,5]=>[6,4,8,2,7,1,5,3]=>[3,5,1,7,2,8,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[1,8,2,4,3,5,6,7]=>[1,8,3,5,4,6,7,2]=>[8,1,6,4,5,3,2,7]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]
[1,7,2,4,3,5,6,8]=>[1,7,3,5,4,6,2,8]=>[8,2,6,4,5,3,7,1]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[1,7,2,5,3,4,6,8]=>[1,7,3,6,5,4,2,8]=>[8,2,6,3,4,5,7,1]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[1,8,2,5,3,4,6,7]=>[1,8,3,6,5,4,7,2]=>[8,1,6,3,4,5,2,7]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[1,8,2,6,3,4,5,7]=>[1,8,3,7,5,6,4,2]=>[8,1,6,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,7,2,6,3,4,5,8]=>[1,7,3,6,5,4,2,8]=>[8,2,6,3,4,5,7,1]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[1,8,2,7,3,5,4,6]=>[1,8,3,7,5,6,4,2]=>[8,1,6,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,7,2,8,3,5,4,6]=>[1,8,3,7,5,6,4,2]=>[8,1,6,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,6,2,8,3,5,4,7]=>[1,7,3,8,5,6,2,4]=>[8,2,6,1,4,3,7,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[1,5,2,8,3,6,4,7]=>[1,7,3,8,5,6,2,4]=>[8,2,6,1,4,3,7,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[1,4,2,8,3,6,5,7]=>[1,5,3,8,2,7,6,4]=>[8,4,6,1,7,2,3,5]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[1,2,3,8,4,6,5,7]=>[1,2,3,8,5,7,6,4]=>[8,7,6,1,4,2,3,5]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]
[1,4,2,7,3,6,5,8]=>[1,5,3,7,2,6,4,8]=>[8,4,6,2,7,3,5,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[1,5,2,7,3,6,4,8]=>[1,7,3,6,5,4,2,8]=>[8,2,6,3,4,5,7,1]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[1,6,2,7,3,5,4,8]=>[1,7,3,6,5,4,2,8]=>[8,2,6,3,4,5,7,1]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[1,7,2,6,3,5,4,8]=>[1,7,3,6,5,4,2,8]=>[8,2,6,3,4,5,7,1]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[1,8,2,6,3,5,4,7]=>[1,8,3,7,5,6,4,2]=>[8,1,6,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,8,2,5,3,6,4,7]=>[1,8,3,7,5,6,4,2]=>[8,1,6,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,7,2,5,3,6,4,8]=>[1,7,3,6,5,4,2,8]=>[8,2,6,3,4,5,7,1]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[1,6,2,5,3,7,4,8]=>[1,7,3,5,4,6,2,8]=>[8,2,6,4,5,3,7,1]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[1,5,2,4,3,7,6,8]=>[1,5,3,4,2,7,6,8]=>[8,4,6,5,7,2,3,1]=>[[[[.,.],[[.,.],[.,.]]],[.,.]],.]
[1,6,2,4,3,7,5,8]=>[1,7,3,5,4,6,2,8]=>[8,2,6,4,5,3,7,1]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[1,7,2,4,3,6,5,8]=>[1,7,3,5,4,6,2,8]=>[8,2,6,4,5,3,7,1]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[1,8,2,4,3,6,5,7]=>[1,8,3,5,4,7,6,2]=>[8,1,6,4,5,2,3,7]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[1,7,2,3,4,6,5,8]=>[1,7,3,4,5,6,2,8]=>[8,2,6,5,4,3,7,1]=>[[[.,.],[[[[.,.],.],.],[.,.]]],.]
[1,8,2,4,3,7,5,6]=>[1,8,3,5,4,7,6,2]=>[8,1,6,4,5,2,3,7]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[1,7,2,4,3,8,5,6]=>[1,8,3,5,4,7,6,2]=>[8,1,6,4,5,2,3,7]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[1,6,2,4,3,8,5,7]=>[1,7,3,5,4,8,2,6]=>[8,2,6,4,5,1,7,3]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]
[1,5,2,4,3,8,6,7]=>[1,5,3,4,2,8,7,6]=>[8,4,6,5,7,1,2,3]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]
[1,6,2,5,3,8,4,7]=>[1,7,3,5,4,8,2,6]=>[8,2,6,4,5,1,7,3]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]
[1,7,2,5,3,8,4,6]=>[1,8,3,7,5,6,4,2]=>[8,1,6,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,8,2,5,3,7,4,6]=>[1,8,3,7,5,6,4,2]=>[8,1,6,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,8,2,6,3,7,4,5]=>[1,8,3,7,5,6,4,2]=>[8,1,6,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,7,2,6,3,8,4,5]=>[1,8,3,7,5,6,4,2]=>[8,1,6,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,2,3,8,4,7,5,6]=>[1,2,3,8,5,7,6,4]=>[8,7,6,1,4,2,3,5]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]
[1,4,2,8,3,7,5,6]=>[1,5,3,8,2,7,6,4]=>[8,4,6,1,7,2,3,5]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[1,5,2,8,3,7,4,6]=>[1,7,3,8,5,6,2,4]=>[8,2,6,1,4,3,7,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[1,6,2,8,3,7,4,5]=>[1,8,3,7,5,6,4,2]=>[8,1,6,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,7,2,8,3,6,4,5]=>[1,8,3,7,5,6,4,2]=>[8,1,6,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,8,2,7,3,6,4,5]=>[1,8,3,7,5,6,4,2]=>[8,1,6,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[4,6,3,7,2,5,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,6,3,7,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,6,3,8,5,1,7,2]=>[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[4,6,3,8,5,1,2,7]=>[7,6,5,8,3,2,1,4]=>[2,3,4,1,6,7,8,5]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[5,6,8,3,4,1,2,7]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[5,6,8,3,4,1,7,2]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[4,6,2,7,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,6,7,2,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,6,8,4,3,1,7,2]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[5,6,8,4,3,1,2,7]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[5,7,8,4,1,6,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,7,8,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,7,8,4,1,3,6,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,6,8,4,2,1,7,3]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[5,6,8,2,4,1,7,3]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[4,6,2,8,5,1,7,3]=>[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[3,2,6,8,5,1,7,4]=>[6,2,8,7,5,1,4,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[3,2,6,8,5,1,4,7]=>[6,2,7,8,5,1,3,4]=>[3,7,2,1,4,8,6,5]=>[[[.,[.,.]],.],[.,[[[.,.],.],.]]]
[4,6,2,8,5,1,3,7]=>[7,6,5,8,3,2,1,4]=>[2,3,4,1,6,7,8,5]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[5,6,8,2,4,1,3,7]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[5,6,8,4,2,1,3,7]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[5,7,8,4,1,3,2,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[5,7,8,4,1,2,6,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,7,8,4,1,2,3,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[6,7,8,1,5,2,3,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,7,8,1,5,2,4,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,7,8,1,5,3,2,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,7,8,1,3,5,2,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,7,8,2,1,6,3,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,7,2,8,1,6,3,5]=>[7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[3,2,7,8,1,6,4,5]=>[5,2,8,7,1,6,4,3]=>[4,7,1,2,8,3,5,6]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[3,2,7,8,1,6,5,4]=>[5,2,8,7,1,6,4,3]=>[4,7,1,2,8,3,5,6]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[4,7,2,8,1,6,5,3]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[5,7,8,2,1,6,4,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,8,1,3,5,4,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,7,8,1,5,3,4,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,7,8,1,5,4,3,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,7,8,1,5,4,2,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,7,8,1,4,5,2,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,7,8,1,4,5,3,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,7,8,1,4,3,5,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,7,8,1,3,4,5,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,7,8,2,1,4,6,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,7,2,8,1,5,6,3]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[3,2,7,8,1,5,6,4]=>[5,2,8,7,1,6,4,3]=>[4,7,1,2,8,3,5,6]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[3,2,6,8,4,1,7,5]=>[6,2,8,7,5,1,4,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[4,6,2,8,3,1,7,5]=>[6,8,5,7,3,1,4,2]=>[3,1,4,2,6,8,5,7]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[5,6,8,3,2,1,7,4]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[5,7,8,3,1,4,6,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,7,8,3,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,7,8,3,1,6,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,7,3,8,1,6,2,5]=>[7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[4,7,3,8,1,6,5,2]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[4,7,3,8,1,5,6,2]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[4,6,3,8,2,1,7,5]=>[6,8,5,7,3,1,4,2]=>[3,1,4,2,6,8,5,7]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[4,5,3,2,8,1,7,6]=>[6,4,3,2,8,1,7,5]=>[3,5,6,7,1,8,2,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[4,5,2,3,8,1,7,6]=>[6,4,3,2,8,1,7,5]=>[3,5,6,7,1,8,2,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[4,5,3,2,8,1,6,7]=>[6,4,3,2,8,1,7,5]=>[3,5,6,7,1,8,2,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[4,6,3,8,2,1,5,7]=>[6,7,5,8,3,1,2,4]=>[3,2,4,1,6,8,7,5]=>[[[.,.],[.,.]],[[.,[[.,.],.]],.]]
[4,7,3,8,1,5,2,6]=>[7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[4,7,3,8,1,2,6,5]=>[6,8,5,7,3,1,4,2]=>[3,1,4,2,6,8,5,7]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[4,7,3,8,1,2,5,6]=>[6,8,5,7,3,1,4,2]=>[3,1,4,2,6,8,5,7]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[5,7,8,3,1,2,4,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[5,7,8,3,1,2,6,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,7,8,3,1,4,2,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[5,6,8,3,2,1,4,7]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[3,2,7,8,1,5,4,6]=>[5,2,8,7,1,6,4,3]=>[4,7,1,2,8,3,5,6]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[5,7,8,2,1,4,3,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[6,7,8,1,3,4,2,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,7,8,1,4,3,2,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,7,8,1,4,2,5,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,7,8,1,4,2,3,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,7,8,1,2,5,3,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,7,8,1,2,5,4,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,7,8,1,2,4,5,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,7,8,1,3,2,5,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,7,8,2,1,3,6,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,2,7,8,1,4,6,5]=>[5,2,8,7,1,6,4,3]=>[4,7,1,2,8,3,5,6]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[6,7,8,1,3,2,4,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,7,8,1,2,4,3,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,7,8,1,2,3,5,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,2,8,5,1,6,4,3]=>[8,5,7,6,2,4,3,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[1,3,7,5,2,6,4,8]=>[1,5,7,6,2,4,3,8]=>[8,4,2,3,7,5,6,1]=>[[[[.,.],.],[.,[[.,.],[.,.]]]],.]
[7,2,8,5,4,1,6,3]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[2,8,5,4,3,1,7,6]=>[6,8,5,4,3,1,7,2]=>[3,1,4,5,6,8,2,7]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[2,8,6,5,7,3,1,4]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[2,8,4,5,3,7,1,6]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[2,8,4,3,5,6,1,7]=>[7,8,4,3,5,6,1,2]=>[2,1,5,6,4,3,8,7]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]
[7,2,8,4,5,6,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,6,3,7,5,2,4,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[6,3,2,8,5,1,4,7]=>[7,6,3,8,5,2,1,4]=>[2,3,6,1,4,7,8,5]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[7,4,8,2,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,4,8,5,2,1,3,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,4,8,5,1,3,7,2]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[6,3,7,5,2,1,8,4]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,3,7,5,1,2,8,6]=>[6,5,8,4,2,1,7,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[4,3,7,1,5,6,8,2]=>[8,4,6,2,5,3,7,1]=>[1,5,3,7,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[3,6,1,7,5,2,8,4]=>[6,8,3,5,4,1,7,2]=>[3,1,6,4,5,8,2,7]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[3,4,1,2,7,6,8,5]=>[4,3,2,1,8,6,7,5]=>[5,6,7,8,1,3,2,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[3,4,2,1,7,5,8,6]=>[4,3,2,1,8,6,7,5]=>[5,6,7,8,1,3,2,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[3,6,5,7,1,4,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,5,2,7,4,1,8,3]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,5,2,6,4,8,7,1]=>[8,5,3,4,2,7,6,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[5,6,1,8,7,2,4,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,3,5,8,2,7,4,1]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[6,5,8,4,2,3,7,1]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[6,2,5,8,3,7,1,4]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[1,6,5,7,3,4,2,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[1,5,2,7,4,6,3,8]=>[1,7,3,6,5,4,2,8]=>[8,2,6,3,4,5,7,1]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[5,2,1,8,7,6,3,4]=>[8,3,2,7,6,5,4,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[7,1,3,8,4,6,2,5]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,3,4,8,6,1,7,5]=>[6,2,3,8,7,1,5,4]=>[3,7,6,1,2,8,4,5]=>[[.,[[.,.],.]],[.,[[.,.],[.,.]]]]
[2,3,4,8,6,5,1,7]=>[7,2,3,8,6,5,1,4]=>[2,7,6,1,3,4,8,5]=>[[.,[[.,.],.]],[.,[.,[[.,.],.]]]]
[2,7,3,5,8,6,1,4]=>[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[3,2,4,7,8,6,1,5]=>[7,2,3,8,6,5,1,4]=>[2,7,6,1,3,4,8,5]=>[[.,[[.,.],.]],[.,[.,[[.,.],.]]]]
[5,2,4,7,1,8,3,6]=>[7,5,3,8,2,6,1,4]=>[2,4,6,1,7,3,8,5]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[5,3,6,4,1,8,7,2]=>[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[5,3,6,1,4,8,2,7]=>[7,5,4,3,2,8,1,6]=>[2,4,5,6,7,1,8,3]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[7,3,5,6,8,4,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,3,5,1,8,2,7,4]=>[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[2,6,1,5,8,4,7,3]=>[3,8,1,6,7,4,5,2]=>[6,1,8,3,2,5,4,7]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[2,7,6,5,8,3,4,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,2,4,1,7,8,5,6]=>[4,2,3,1,8,7,6,5]=>[5,7,6,8,1,2,3,4]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]
[3,1,4,2,7,8,6,5]=>[4,2,3,1,8,7,6,5]=>[5,7,6,8,1,2,3,4]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]
[5,1,4,7,2,8,6,3]=>[8,2,5,7,3,6,4,1]=>[1,7,4,2,6,3,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[3,6,4,7,8,2,5,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,1,4,6,8,5,7,2]=>[8,2,3,6,7,4,5,1]=>[1,7,6,3,2,5,4,8]=>[.,[[[[.,.],.],.],[[.,.],[.,.]]]]
[6,3,4,5,7,1,8,2]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[2,5,4,6,1,7,8,3]=>[5,8,3,4,1,6,7,2]=>[4,1,6,5,8,3,2,7]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]
[7,3,4,1,2,6,5,8]=>[7,5,4,3,2,6,1,8]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[7,4,3,2,1,6,5,8]=>[7,5,4,3,2,6,1,8]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[7,6,3,2,5,4,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,7,3,2,5,4,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,3,5,1,6,2,4,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,3,6,1,5,4,2,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,4,6,5,1,3,2,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,8,6,4,3,7,2,5]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,5,7,4,3,1,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,4,7,5,1,3,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,3,7,1,5,4,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,2,1,8,5,4,7,6]=>[3,2,1,8,6,5,7,4]=>[6,7,8,1,3,4,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[2,4,8,5,1,3,7,6]=>[5,6,8,4,1,2,7,3]=>[4,3,1,5,8,7,2,6]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]
[2,5,8,4,3,1,7,6]=>[6,5,8,4,2,1,7,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[2,6,8,4,3,7,1,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[2,7,8,4,3,6,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,8,7,4,3,6,5,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,7,5,6,3,4,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,7,8,5,6,3,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,6,8,5,7,3,1,4]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[2,5,8,6,7,1,3,4]=>[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[2,4,8,6,1,7,3,5]=>[5,7,8,6,1,4,2,3]=>[4,2,1,3,8,5,7,6]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]]
[3,2,1,8,6,7,4,5]=>[3,2,1,8,7,6,5,4]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[5,3,7,1,6,8,4,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,4,7,6,1,8,3,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,5,7,6,8,1,3,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,6,7,5,8,3,1,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,8,6,5,7,3,2,4]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,5,6,7,2,3,4]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,5,6,8,2,3,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,6,5,7,8,2,1,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,4,6,7,1,8,2,3]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,3,5,1,7,2,8,4]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[6,4,5,7,1,2,8,3]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,5,4,7,2,1,8,3]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,6,4,7,2,8,1,3]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[1,8,4,6,2,7,3,5]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,3,2,6,8,4,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,5,3,2,7,1,8,4]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[6,2,1,4,3,7,8,5]=>[8,3,2,5,4,6,7,1]=>[1,6,7,4,5,3,2,8]=>[.,[[[[.,[.,.]],[.,.]],.],[.,.]]]
[5,2,1,4,3,8,7,6]=>[5,3,2,4,1,8,7,6]=>[4,6,7,5,8,1,2,3]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]
[5,3,4,1,2,8,7,6]=>[5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[4,6,3,2,8,7,1,5]=>[7,8,4,3,6,5,1,2]=>[2,1,5,6,3,4,8,7]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]
[4,7,3,2,8,6,5,1]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[1,8,4,7,2,6,5,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,7,4,8,2,6,5,1]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[3,6,4,8,2,7,1,5]=>[7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[3,5,4,8,2,1,7,6]=>[6,5,3,8,2,1,7,4]=>[3,4,6,1,7,8,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[3,4,5,8,1,2,7,6]=>[6,5,3,8,2,1,7,4]=>[3,4,6,1,7,8,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[4,3,5,1,8,2,7,6]=>[6,4,3,2,8,1,7,5]=>[3,5,6,7,1,8,2,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[4,2,1,6,8,7,3,5]=>[7,3,2,8,6,5,1,4]=>[2,6,7,1,3,4,8,5]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]
[4,3,6,1,8,7,2,5]=>[7,4,8,2,6,5,1,3]=>[2,5,1,7,3,4,8,6]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[3,4,6,8,1,7,2,5]=>[7,5,8,6,2,4,1,3]=>[2,4,1,3,7,5,8,6]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[3,5,6,8,7,1,2,4]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[3,6,5,8,7,2,1,4]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[3,7,5,8,6,2,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,8,5,7,6,2,4,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,6,7,5,4,2,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,6,7,8,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,5,7,8,6,1,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,4,7,8,1,6,5,2]=>[8,5,7,6,2,4,3,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[4,2,1,7,8,6,5,3]=>[8,3,2,7,6,5,4,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[2,3,8,1,7,6,5,4]=>[4,2,8,1,7,6,5,3]=>[5,7,1,8,2,3,4,6]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[2,4,8,7,1,6,5,3]=>[5,8,7,6,1,4,3,2]=>[4,1,2,3,8,5,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[2,5,8,7,6,1,4,3]=>[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[2,6,8,7,5,4,1,3]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[2,1,4,3,6,5,8,7,10,9,12,11]=>[2,1,4,3,6,5,8,7,10,9,12,11]=>[11,12,9,10,7,8,5,6,3,4,1,2]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]
[2,1,12,11,6,5,8,7,10,9,4,3]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[11,12,1,2,3,4,5,6,7,8,9,10]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[2,1,12,11,6,5,10,9,8,7,4,3]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[11,12,1,2,3,4,5,6,7,8,9,10]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[2,1,12,11,8,7,6,5,10,9,4,3]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[11,12,1,2,3,4,5,6,7,8,9,10]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[2,1,12,11,10,7,6,9,8,5,4,3]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[11,12,1,2,3,4,5,6,7,8,9,10]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[11,12,1,2,3,4,5,6,7,8,9,10]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[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]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,[.,[.,.]]]]]]
[7,4,6,1,8,3,5,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,3,5,1,7,4,6,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,3,4,1,7,5,6,2]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[4,8,3,1,7,5,6,2]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[4,6,2,1,7,5,8,3]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[1,4,6,2,7,5,8,3]=>[1,8,6,4,5,3,7,2]=>[8,1,3,5,4,6,2,7]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[1,7,5,2,6,8,4,3]=>[1,8,7,4,5,6,3,2]=>[8,1,2,5,4,3,6,7]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[6,8,4,3,1,7,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,6,8,4,1,7,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,6,7,5,1,8,4,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,5,6,1,8,3,4,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,4,6,5,7,1,8,2]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[4,7,5,6,1,8,3,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,7,5,1,8,4,3,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,8,4,1,7,5,3,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,7,5,3,1,8,4,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,4,2,1,6,7,5,3]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[1,8,4,2,6,7,5,3]=>[1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[5,3,2,1,7,6,8,4]=>[8,4,3,2,6,5,7,1]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[2,5,3,1,7,6,8,4]=>[4,8,3,1,6,5,7,2]=>[5,1,6,8,3,4,2,7]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]
[2,8,4,1,6,7,5,3]=>[4,8,7,1,6,5,3,2]=>[5,1,2,8,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[4,8,2,6,5,7,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,6,1,2,7,5,8,3]=>[8,6,3,4,5,2,7,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[7,5,1,2,6,8,4,3]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[5,3,1,2,7,6,8,4]=>[8,4,3,2,6,5,7,1]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[4,3,1,2,7,6,8,5]=>[4,3,2,1,8,6,7,5]=>[5,6,7,8,1,3,2,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[3,5,1,2,7,6,8,4]=>[4,8,3,1,6,5,7,2]=>[5,1,6,8,3,4,2,7]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]
[6,7,1,5,8,2,3,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,6,1,5,8,3,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,6,7,1,5,8,2,4]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[7,1,6,5,8,2,4,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,5,1,6,8,4,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,4,1,6,7,5,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,2,3,1,7,6,8,4]=>[8,4,3,2,6,5,7,1]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[3,5,2,1,7,6,8,4]=>[4,8,3,1,6,5,7,2]=>[5,1,6,8,3,4,2,7]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]
[1,7,6,2,5,8,3,4]=>[1,8,7,4,5,6,3,2]=>[8,1,2,5,4,3,6,7]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[8,3,1,5,7,6,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,2,4,1,7,5,8,3]=>[8,4,6,2,5,3,7,1]=>[1,5,3,7,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[6,2,5,1,7,4,8,3]=>[8,4,6,2,5,3,7,1]=>[1,5,3,7,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[7,1,6,4,8,2,5,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,2,6,4,7,1,5,3]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[6,1,5,2,7,4,8,3]=>[8,2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[7,6,2,5,8,3,1,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,3,5,7,6,2,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,8,3,5,7,6,2,4]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,2,6,8,4,1,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,4,2,6,7,5,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,1,4,2,7,5,8,3]=>[8,2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[8,2,6,5,7,1,4,3]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[8,3,2,5,7,6,1,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,1,3,2,7,6,8,4]=>[8,2,4,3,6,5,7,1]=>[1,7,5,6,3,4,2,8]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[4,1,3,2,7,6,8,5]=>[4,2,3,1,8,6,7,5]=>[5,7,6,8,1,3,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[4,2,1,3,7,6,8,5]=>[4,3,2,1,8,6,7,5]=>[5,6,7,8,1,3,2,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[1,4,2,3,7,6,8,5]=>[1,4,3,2,8,6,7,5]=>[8,5,6,7,1,3,2,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[2,4,1,3,7,6,8,5]=>[3,4,1,2,8,6,7,5]=>[6,5,8,7,1,3,2,4]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]
[2,8,3,5,7,6,1,4]=>[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[6,8,2,3,5,7,1,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,3,5,7,6,1,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,1,2,4,7,6,8,5]=>[3,2,1,4,8,6,7,5]=>[6,7,8,5,1,3,2,4]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]
[10,8,9,5,6,7,1,2,3,4]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,8,9,4,5,6,1,2,3,7]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,7,8,5,6,9,1,2,3,4]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,7,8,4,5,9,1,2,3,6]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,6,7,4,5,8,1,2,3,9]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[10,7,8,3,4,9,1,2,5,6]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,6,7,3,4,8,1,2,5,9]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[9,8,10,5,6,7,1,2,3,4]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,8,10,4,5,6,1,2,3,7]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,7,10,5,6,8,1,2,3,4]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,7,10,4,5,8,1,2,3,6]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,6,10,4,5,7,1,2,3,8]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,7,10,3,4,8,1,2,5,6]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,6,10,3,4,7,1,2,5,8]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,7,9,5,6,10,1,2,3,4]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[8,7,9,4,5,10,1,2,3,6]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[8,6,9,4,5,10,1,2,3,7]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[8,7,9,3,4,10,1,2,5,6]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[8,6,9,3,4,10,1,2,5,7]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[9,6,10,5,7,8,1,2,3,4]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,6,10,4,7,8,1,2,3,5]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,5,10,4,6,7,1,2,3,8]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,6,10,3,7,8,1,2,4,5]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,5,10,3,6,7,1,2,4,8]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,6,9,5,7,10,1,2,3,4]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[8,6,9,4,7,10,1,2,3,5]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[8,5,9,4,6,10,1,2,3,7]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[8,6,9,3,7,10,1,2,4,5]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[8,5,9,3,6,10,1,2,4,7]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[9,6,10,2,7,8,1,3,4,5]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,5,10,2,6,7,1,3,4,8]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,6,9,2,7,10,1,3,4,5]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[8,5,9,2,6,10,1,3,4,7]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[8,1,3,5,6,2,7,4]=>[8,2,6,7,5,3,4,1]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[8,1,3,2,4,5,7,6]=>[8,2,4,3,5,6,7,1]=>[1,7,5,6,4,3,2,8]=>[.,[[[[[.,.],[.,.]],.],.],[.,.]]]
[2,7,8,3,4,5,6,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[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]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[3,6,2,8,4,5,1,7]=>[7,6,3,8,5,2,1,4]=>[2,3,6,1,4,7,8,5]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[2,3,6,7,4,5,8,1]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[3,5,2,4,8,6,1,7]=>[7,4,3,2,8,6,1,5]=>[2,5,6,7,1,3,8,4]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]
[3,5,4,2,8,7,1,6]=>[7,4,3,2,8,6,1,5]=>[2,5,6,7,1,3,8,4]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]
[4,6,5,8,7,1,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,4,1,2,3,8,5,6]=>[8,5,3,4,2,7,6,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[6,2,4,1,3,7,5,8]=>[7,4,5,2,3,6,1,8]=>[2,5,4,7,6,3,8,1]=>[[.,[[[.,.],[[.,.],.]],[.,.]]],.]
[2,6,4,8,3,7,5,1]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[2,6,5,8,7,3,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,5,2,1,8,3,4,7]=>[7,6,4,3,8,2,1,5]=>[2,3,5,6,1,7,8,4]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[2,5,6,7,8,3,4,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,2,6,7,3,1,5,8]=>[6,5,7,4,2,1,3,8]=>[3,4,2,5,7,8,6,1]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[4,7,8,2,3,1,5,6]=>[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[4,7,8,3,2,1,6,5]=>[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[5,6,4,8,1,7,2,3]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[5,6,3,8,1,2,7,4]=>[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[4,2,5,3,7,1,6,8]=>[6,4,3,2,7,1,5,8]=>[3,5,6,7,2,8,4,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[4,3,6,7,2,1,8,5]=>[6,5,8,4,2,1,7,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[3,4,6,7,2,8,1,5]=>[7,5,8,4,2,6,1,3]=>[2,4,1,5,7,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[3,4,5,2,7,8,1,6]=>[7,4,3,2,8,6,1,5]=>[2,5,6,7,1,3,8,4]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]
[5,2,7,8,6,4,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,1,2,7,8,6,4,3]=>[8,2,3,7,6,5,4,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[4,7,1,8,6,5,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,6,8,1,2,7,5,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,8,7,1,5,3,2,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,8,7,3,5,1,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,1,6,3,5,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,8,1,3,6,5,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,8,3,6,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,7,2,8,6,1,5,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,7,3,4,8,6,5,2]=>[1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[4,2,7,1,8,6,5,3]=>[8,4,7,2,6,5,3,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,8,2,3,6,5,1,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,5,7,1,6,2,3,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,5,7,1,2,6,3,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,8,2,7,1,3,5,4]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[6,8,7,2,5,3,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,2,4,8,7,1,5,3]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[1,6,8,3,7,4,5,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,6,8,3,4,7,5,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,2,4,8,1,7,5,3]=>[8,5,7,6,2,4,3,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[6,8,7,2,3,5,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,2,1,7,3,5,4]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[8,5,7,2,1,6,3,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,7,1,2,3,6,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,7,6,2,1,4,3,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,7,2,3,1,6,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,4,2,7,1,6,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,8,7,5,3,4,6,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,7,3,5,4,6,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,2,5,4,7,1,6,3]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[8,5,2,7,3,1,6,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,6,2,4,3,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,6,1,2,4,3,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,7,6,1,4,2,3,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,7,6,4,1,3,2,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,4,7,2,1,6,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,8,7,5,4,3,6,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,6,8,4,3,7,5,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,8,7,3,2,5,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,1,7,3,2,5,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,5,7,3,1,6,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,7,1,3,2,6,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,5,7,3,1,2,6,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,4,7,1,2,6,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,4,1,7,2,6,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,8,4,7,1,6,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,1,2,6,5,7,4,3]=>[8,2,3,7,6,5,4,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[8,2,5,6,7,4,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,5,7,1,6,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,5,7,1,2,6,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,5,1,7,2,6,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,5,3,1,7,2,6,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,5,3,7,1,2,6,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,1,3,7,2,5,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,6,2,8,1,7,5,3]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[1,6,4,8,3,7,5,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,7,4,5,3,6,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,8,5,7,2,1,6,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,3,7,2,1,6,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,6,3,1,4,2,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,6,1,3,2,4,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,5,3,2,7,1,6,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,8,5,2,7,1,6,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,8,7,4,3,5,6,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,7,3,4,5,6,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,2,4,5,7,1,6,3]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[8,5,2,3,7,1,6,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,3,1,5,2,7,6,4]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[8,5,4,2,1,7,3,6]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,5,4,2,1,7,6,3]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,5,4,2,1,3,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[6,5,4,2,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[6,5,4,3,1,2,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[6,5,4,1,3,2,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[8,5,4,1,2,7,6,3]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,7,4,1,6,3,2,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,7,4,1,6,3,5,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,7,4,1,6,5,3,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,5,4,1,3,7,6,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,5,4,3,1,7,6,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,3,2,5,1,7,6,4]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[8,3,2,5,1,7,4,6]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[8,5,4,3,1,7,2,6]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,5,4,1,3,7,2,6]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,7,4,1,6,5,2,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,7,4,1,6,2,5,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,7,6,5,2,1,4,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,4,3,6,2,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,3,2,7,6,4,1,5]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,1,8,7,6,4,3,5]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,8,7,6,4,5,3]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[8,3,2,7,6,4,5,1]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,7,4,3,6,2,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,6,5,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,4,2,3,7,6,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,7,4,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,4,2,6,3,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,4,2,6,3,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,3,1,7,6,4,2,5]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,3,1,7,6,4,5,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,3,1,7,6,5,4,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,3,1,7,6,5,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,7,4,2,6,1,5,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,4,2,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,4,2,3,7,1,6]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,3,2,7,6,5,1,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,7,4,3,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,6,5,3,1,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,6,5,1,3,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,6,5,1,3,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,6,5,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,6,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,4,3,6,1,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,1,8,7,6,3,5,4]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[8,7,6,5,1,4,2,3]=>[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]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[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]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[4,5,7,1,6,8,2,3]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,5,1,2,8,4,3,7]=>[7,6,3,4,8,2,1,5]=>[2,3,6,5,1,7,8,4]=>[[.,[.,[[.,.],.]]],[[.,[.,.]],.]]
[6,4,1,2,8,5,3,7]=>[7,6,3,4,8,2,1,5]=>[2,3,6,5,1,7,8,4]=>[[.,[.,[[.,.],.]]],[[.,[.,.]],.]]
[5,3,1,2,8,6,4,7]=>[7,4,3,2,8,6,1,5]=>[2,5,6,7,1,3,8,4]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]
[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]=>[2,7,6,3,1,5,8,4]=>[[.,[[[.,.],.],.]],[[.,[.,.]],.]]
[7,1,3,4,8,2,5,6]=>[8,2,6,4,7,3,5,1]=>[1,7,3,5,2,6,4,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[7,1,5,6,8,2,3,4]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,6,1,5,7,8,3,4]=>[3,8,1,7,5,6,4,2]=>[6,1,8,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[7,4,1,6,8,5,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,2,3,1,8,6,7,4]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[1,6,2,5,7,3,4,8]=>[1,7,3,6,5,4,2,8]=>[8,2,6,3,4,5,7,1]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[6,2,1,5,8,7,3,4]=>[8,3,2,7,6,5,4,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[7,3,1,5,8,6,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[6,2,1,4,8,7,3,5]=>[8,3,2,7,6,5,4,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[1,6,2,4,7,3,5,8]=>[1,7,3,6,5,4,2,8]=>[8,2,6,3,4,5,7,1]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[5,2,1,3,8,7,4,6]=>[7,3,2,4,8,6,1,5]=>[2,6,7,5,1,3,8,4]=>[[.,[[.,[.,.]],.]],[.,[[.,.],.]]]
[7,5,1,3,8,4,2,6]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,6,7,1,4,8,2,5]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[7,6,1,4,8,3,2,5]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[6,1,8,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[7,1,4,6,8,2,3,5]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,1,3,5,8,2,4,6]=>[8,2,6,7,5,3,4,1]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[6,1,2,4,8,3,5,7]=>[7,2,3,6,8,4,1,5]=>[2,7,6,3,1,5,8,4]=>[[.,[[[.,.],.],.]],[[.,[.,.]],.]]
[7,4,5,2,3,1,8,6]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,3,5,2,4,1,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[4,1,6,3,5,2,8,7]=>[6,2,5,4,3,1,8,7]=>[3,7,4,5,6,8,1,2]=>[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]
[6,3,4,1,5,2,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[5,2,6,3,4,1,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[5,2,7,3,4,1,8,6]=>[6,5,8,4,2,1,7,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,3,4,1,5,2,8,6]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[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]=>[7,8,1,3,4,5,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[3,1,8,6,7,4,5,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,1,8,6,7,3,5,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,1,8,5,7,3,6,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,1,8,5,7,4,6,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,1,8,5,7,4,6,3]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,7,4,6,3,8,5]=>[2,1,8,6,5,4,7,3]=>[7,8,1,3,4,5,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,2,5,1,7,3,8,4]=>[8,4,6,2,5,3,7,1]=>[1,5,3,7,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[5,2,4,1,7,3,8,6]=>[6,4,3,2,8,1,7,5]=>[3,5,6,7,1,8,2,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[6,2,4,1,7,3,8,5]=>[8,4,6,2,5,3,7,1]=>[1,5,3,7,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,2,3,1,7,4,8,5]=>[8,4,3,2,6,5,7,1]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[5,2,3,1,7,4,8,6]=>[6,4,3,2,8,1,7,5]=>[3,5,6,7,1,8,2,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[4,2,3,1,7,5,8,6]=>[4,3,2,1,8,6,7,5]=>[5,6,7,8,1,3,2,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[3,1,4,2,8,6,7,5]=>[4,2,3,1,8,7,6,5]=>[5,7,6,8,1,2,3,4]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]
[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]=>[1,7,5,6,2,3,4,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[3,1,5,2,8,6,7,4]=>[4,2,8,1,7,6,5,3]=>[5,7,1,8,2,3,4,6]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[3,1,6,2,8,5,7,4]=>[4,2,8,1,7,6,5,3]=>[5,7,1,8,2,3,4,6]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[4,1,6,2,8,5,7,3]=>[8,2,6,4,7,3,5,1]=>[1,7,3,5,2,6,4,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[5,1,6,2,8,4,7,3]=>[8,2,6,4,7,3,5,1]=>[1,7,3,5,2,6,4,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,1,8,5,6,2,7,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,1,8,5,6,2,7,4]=>[6,2,8,7,5,1,4,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[2,1,8,5,6,3,7,4]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,7,4,8,5,6,3]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[3,1,7,4,8,5,6,2]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[4,1,7,3,8,5,6,2]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,3,8,4,7,2,5,6]=>[1,6,8,4,7,2,5,3]=>[8,3,1,5,2,7,4,6]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[3,6,1,4,7,2,5,8]=>[6,7,3,4,5,1,2,8]=>[3,2,6,5,4,8,7,1]=>[[[.,.],[[[.,.],.],[[.,.],.]]],.]
[4,6,1,2,5,7,3,8]=>[7,5,3,4,2,6,1,8]=>[2,4,6,5,7,3,8,1]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[1,4,8,2,5,7,3,6]=>[1,7,8,4,5,6,2,3]=>[8,2,1,5,4,3,7,6]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,5,8,4,3,2,7,6]=>[1,6,8,5,4,2,7,3]=>[8,3,1,4,5,7,2,6]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]
[5,6,1,4,3,2,7,8]=>[6,5,3,4,2,1,7,8]=>[3,4,6,5,7,8,2,1]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,4,8,5,3,1,6,7]=>[6,5,8,4,2,1,7,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[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]=>[8,1,6,3,4,5,2,7]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[4,6,2,5,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[4,7,5,1,3,6,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,5,3,6,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,7,3,6,1,4,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,3,6,7,2,1,8,4]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[8,3,1,5,4,7,2,6]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]
[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]=>[3,2,6,1,4,8,7,5]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]
[1,6,7,5,8,2,4,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,5,6,7,8,1,4,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,1,6,8,4,5,3,7]=>[2,1,7,8,6,5,3,4]=>[7,8,2,1,3,4,6,5]=>[[[.,[.,.]],.],[.,[.,[[.,.],.]]]]
[2,7,1,8,5,3,4,6]=>[3,8,1,7,6,5,4,2]=>[6,1,8,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[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]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[3,2,8,4,5,6,1,7]=>[7,2,8,4,5,6,1,3]=>[2,7,1,5,4,3,8,6]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[3,4,2,8,6,1,7,5]=>[6,3,2,8,7,1,5,4]=>[3,6,7,1,2,8,4,5]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]
[3,4,7,1,5,2,6,8]=>[6,4,7,2,5,1,3,8]=>[3,5,2,7,4,8,6,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[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]=>[8,1,3,2,4,6,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[4,1,8,3,6,2,5,7]=>[6,2,8,4,7,1,5,3]=>[3,7,1,5,2,8,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[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]=>[8,2,3,5,1,6,7,4]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]
[7,1,3,4,8,2,6,5]=>[8,2,6,4,7,3,5,1]=>[1,7,3,5,2,6,4,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[3,6,5,4,1,2,7,8]=>[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[2,6,4,1,8,3,7,5]=>[4,8,6,1,7,3,5,2]=>[5,1,3,8,2,6,4,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[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]=>[1,6,7,3,2,5,4,8]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]
[7,1,6,5,3,8,4,2]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[7,2,5,6,3,8,1,4]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,5,2,7,1,8,4,3]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,6,2,7,3,1,4,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,6,7,4,2,8,1,3]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,7,6,4,1,8,3,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[1,7,5,2,4,8,3,6]=>[1,8,7,4,5,6,3,2]=>[8,1,2,5,4,3,6,7]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[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]=>[8,3,4,5,6,7,1,2]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]
[7,1,5,3,4,2,8,6]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[7,5,6,4,1,2,8,3]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,7,5,4,3,1,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,5,2,4,3,1,6,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,4,6,1,2,5,3,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,1,4,2,5,3,6,8]=>[7,2,6,4,5,3,1,8]=>[2,7,3,5,4,6,8,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[6,8,1,4,2,5,7,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,3,1,6,4,5,2,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[7,4,2,6,5,1,3,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,4,6,3,1,5,2,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,2,3,5,4,1,6,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[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]=>[8,1,2,5,4,3,6,7]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[5,1,8,2,3,6,7,4]=>[8,2,7,4,5,6,3,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[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]=>[1,5,2,7,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,6,3,5,7,1,4,8]=>[6,7,3,4,5,1,2,8]=>[3,2,6,5,4,8,7,1]=>[[[.,.],[[[.,.],.],[[.,.],.]]],.]
[2,5,1,7,8,3,6,4]=>[3,8,1,7,6,5,4,2]=>[6,1,8,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[2,5,3,6,8,4,7,1]=>[8,6,3,4,7,2,5,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[2,1,4,7,8,5,6,3]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,5,3,7,6,1,8,4]=>[6,8,3,5,4,1,7,2]=>[3,1,6,4,5,8,2,7]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[2,5,7,8,1,4,6,3]=>[5,8,7,6,1,4,3,2]=>[4,1,2,3,8,5,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[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]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[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]=>[8,1,6,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[4,1,8,6,7,5,3,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,5,3,7,8,6,2,4]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,5,1,2,6,8,7,3]=>[8,4,3,2,5,7,6,1]=>[1,5,6,7,4,2,3,8]=>[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]
[3,5,6,1,8,4,7,2]=>[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[3,5,7,1,2,8,6,4]=>[5,8,7,4,1,6,3,2]=>[4,1,2,5,8,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[4,2,6,1,7,3,5,8]=>[6,4,7,2,5,1,3,8]=>[3,5,2,7,4,8,6,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[4,2,5,7,1,6,3,8]=>[7,5,3,6,2,4,1,8]=>[2,4,6,3,7,5,8,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[3,5,2,7,8,1,6,4]=>[6,8,3,7,5,1,4,2]=>[3,1,6,2,4,8,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[3,1,4,7,5,6,2,8]=>[7,2,3,6,5,4,1,8]=>[2,7,6,3,4,5,8,1]=>[[.,[[[.,.],.],[.,[.,[.,.]]]]],.]
[3,4,6,5,8,7,1,2]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[3,4,6,8,5,2,7,1]=>[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[3,5,6,2,8,4,7,1]=>[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[4,2,5,6,1,8,7,3]=>[8,5,3,4,2,7,6,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[4,5,3,1,6,8,7,2]=>[8,4,3,2,5,7,6,1]=>[1,5,6,7,4,2,3,8]=>[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]
[2,1,7,5,8,6,4,3]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[1,2,7,5,3,8,6,4]=>[1,2,8,7,5,6,4,3]=>[8,7,1,2,4,3,5,6]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[4,1,2,7,3,8,6,5]=>[5,2,3,8,1,7,6,4]=>[4,7,6,1,8,2,3,5]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]
[6,4,1,7,5,2,3,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[3,7,1,2,5,4,8,6]=>[4,8,3,1,6,5,7,2]=>[5,1,6,8,3,4,2,7]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]
[2,4,1,7,8,6,5,3]=>[3,8,1,7,6,5,4,2]=>[6,1,8,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[2,3,7,1,5,8,6,4]=>[4,2,8,1,7,6,5,3]=>[5,7,1,8,2,3,4,6]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[5,2,8,1,3,7,4,6]=>[7,4,8,2,5,6,1,3]=>[2,5,1,7,4,3,8,6]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[2,6,8,3,1,5,7,4]=>[5,8,7,4,1,6,3,2]=>[4,1,2,5,8,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[2,8,6,4,1,5,7,3]=>[5,8,7,6,1,4,3,2]=>[4,1,2,3,8,5,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[3,6,4,8,5,1,7,2]=>[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[6,3,7,4,5,1,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[2,6,7,1,3,4,8,5]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]
[4,7,2,3,6,8,1,5]=>[7,8,4,3,5,6,1,2]=>[2,1,5,6,4,3,8,7]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]
[5,2,7,3,6,8,1,4]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,7,4,6,2,8,1,3]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,7,3,4,6,1,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[2,5,1,7,3,4,8,6]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[2,4,8,1,7,3,5,6]=>[4,6,8,1,7,2,5,3]=>[5,3,1,8,2,7,4,6]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[8,4,1,3,6,2,5,7]=>[8,6,3,4,7,2,5,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[4,8,3,1,7,2,5,6]=>[6,8,4,3,7,1,5,2]=>[3,1,5,6,2,8,4,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[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]=>[2,4,1,5,7,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[5,7,4,1,6,2,3,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,5,4,1,2,6,3,7]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,1,8,4,2,7,3,6]=>[7,2,8,5,4,6,1,3]=>[2,7,1,4,5,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[1,6,2,8,5,3,7,4]=>[1,8,3,7,6,5,4,2]=>[8,1,6,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,6,3,7,1,2,4,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,6,3,7,2,8,4,5]=>[1,8,5,7,3,6,4,2]=>[8,1,4,2,6,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[6,3,2,7,8,5,1,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,7,3,5,2,6,4,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[3,8,2,4,6,7,1,5]=>[7,8,3,4,6,5,1,2]=>[2,1,6,5,3,4,8,7]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]
[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]=>[3,1,6,5,2,8,4,7]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[4,8,3,5,6,1,7,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,8,7,3,4,1,2,6]=>[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]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[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]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[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]=>[5,1,2,8,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[2,5,8,7,1,6,3,4]=>[5,8,7,6,1,4,3,2]=>[4,1,2,3,8,5,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[2,4,8,7,1,6,3,5]=>[5,7,8,6,1,4,2,3]=>[4,2,1,3,8,5,7,6]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]]
[2,8,4,7,1,5,3,6]=>[5,8,7,6,1,4,3,2]=>[4,1,2,3,8,5,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[8,2,4,6,1,5,3,7]=>[8,5,7,6,2,4,3,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[8,1,4,6,2,5,3,7]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,8,4,7,2,5,3,6]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,4,8,7,2,6,3,5]=>[1,7,8,6,5,4,2,3]=>[8,2,1,3,4,5,7,6]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[1,5,8,7,2,6,3,4]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,5,8,2,7,6,4,3]=>[1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[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]=>[8,1,6,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,3,8,2,7,6,4,5]=>[1,4,8,2,7,6,5,3]=>[8,5,1,7,2,3,4,6]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[8,1,3,2,6,5,4,7]=>[8,2,4,3,7,6,5,1]=>[1,7,5,6,2,3,4,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[8,2,3,1,6,5,4,7]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[2,3,8,1,7,6,4,5]=>[4,2,8,1,7,6,5,3]=>[5,7,1,8,2,3,4,6]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[3,4,1,8,7,6,5,2]=>[8,3,2,7,6,5,4,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[4,3,1,8,7,6,5,2]=>[8,3,2,7,6,5,4,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[4,2,1,8,7,6,5,3]=>[8,3,2,7,6,5,4,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[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]=>[2,4,1,3,7,5,8,6]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[5,2,8,7,1,6,3,4]=>[8,5,7,6,2,4,3,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[5,2,8,1,7,6,4,3]=>[8,4,7,2,6,5,3,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[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]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,1,8,7,2,6,3,4]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,1,8,7,2,6,3,5]=>[7,2,8,6,5,4,1,3]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[4,8,1,7,2,5,3,6]=>[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[8,4,1,6,2,5,3,7]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,3,1,2,6,5,4,7]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[3,1,8,2,7,6,4,5]=>[4,2,8,1,7,6,5,3]=>[5,7,1,8,2,3,4,6]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[3,1,2,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[4,1,3,8,7,6,5,2]=>[8,2,3,7,6,5,4,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[3,1,4,8,7,6,5,2]=>[8,2,3,7,6,5,4,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[2,8,1,3,7,5,4,6]=>[3,8,1,4,7,6,5,2]=>[6,1,8,5,2,3,4,7]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[1,8,2,3,7,5,4,6]=>[1,8,3,4,7,6,5,2]=>[8,1,6,5,2,3,4,7]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[1,2,8,3,7,6,4,5]=>[1,2,8,4,7,6,5,3]=>[8,7,1,5,2,3,4,6]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[1,4,3,6,8,2,5,7]=>[1,6,3,7,8,2,4,5]=>[8,3,6,2,1,7,5,4]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]
[3,1,6,2,5,8,4,7]=>[4,2,7,1,5,8,3,6]=>[5,7,2,8,4,1,6,3]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]
[3,5,1,8,2,4,7,6]=>[5,6,3,8,1,2,7,4]=>[4,3,6,1,8,7,2,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[1,4,5,2,8,3,7,6]=>[1,6,4,3,8,2,7,5]=>[8,3,5,6,1,7,2,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[1,4,2,6,5,8,3,7]=>[1,7,3,5,4,8,2,6]=>[8,2,6,4,5,1,7,3]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]
[3,1,6,5,8,2,4,7]=>[6,2,7,4,8,1,3,5]=>[3,7,2,5,1,8,6,4]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]
[1,5,2,6,4,8,3,7]=>[1,7,3,5,4,8,2,6]=>[8,2,6,4,5,1,7,3]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]
[1,2,6,5,4,8,3,7]=>[1,2,7,5,4,8,3,6]=>[8,7,2,4,5,1,6,3]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]
[1,2,5,4,7,3,8,6]=>[1,2,6,4,8,3,7,5]=>[8,7,3,5,1,6,2,4]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]
[4,1,2,6,3,8,7,5]=>[5,2,3,8,1,7,6,4]=>[4,7,6,1,8,2,3,5]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]
[7,1,5,4,2,8,3,6]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[7,1,3,5,2,8,4,6]=>[8,2,5,7,3,6,4,1]=>[1,7,4,2,6,3,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[7,2,5,1,8,3,4,6]=>[8,4,7,2,6,5,3,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[1,6,4,2,8,3,7,5]=>[1,8,6,4,7,3,5,2]=>[8,1,3,5,2,6,4,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[1,4,2,8,3,7,6,5]=>[1,5,3,8,2,7,6,4]=>[8,4,6,1,7,2,3,5]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[1,2,5,3,8,7,6,4]=>[1,2,8,4,7,6,5,3]=>[8,7,1,5,2,3,4,6]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[1,2,8,6,5,3,7,4]=>[1,2,8,7,6,5,4,3]=>[8,7,1,2,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,5,2,8,6,3,7,4]=>[1,8,3,7,6,5,4,2]=>[8,1,6,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,6,4,2,8,7,3,5]=>[1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[6,2,1,8,7,3,4,5]=>[8,3,2,7,6,5,4,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[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]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,7,5,2,6,3,8,4]=>[1,8,6,4,5,3,7,2]=>[8,1,3,5,4,6,2,7]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[1,6,2,7,5,3,8,4]=>[1,8,3,6,5,4,7,2]=>[8,1,6,3,4,5,2,7]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[1,2,7,6,5,3,8,4]=>[1,2,8,6,5,4,7,3]=>[8,7,1,3,4,5,2,6]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]
[1,5,2,6,3,8,7,4]=>[1,8,3,5,4,7,6,2]=>[8,1,6,4,5,2,3,7]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[1,5,2,7,6,3,8,4]=>[1,8,3,6,5,4,7,2]=>[8,1,6,3,4,5,2,7]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[1,6,5,2,7,3,8,4]=>[1,8,6,4,5,3,7,2]=>[8,1,3,5,4,6,2,7]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[4,1,2,8,6,3,7,5]=>[6,2,3,8,7,1,5,4]=>[3,7,6,1,2,8,4,5]=>[[.,[[.,.],.]],[.,[[.,.],[.,.]]]]
[3,1,8,6,2,4,7,5]=>[5,2,8,7,1,6,4,3]=>[4,7,1,2,8,3,5,6]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[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]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[1,8,7,3,2,4,6,5]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,4,2,8,7,3,6,5]=>[1,6,3,8,7,2,5,4]=>[8,3,6,1,2,7,4,5]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]
[1,7,4,2,8,3,6,5]=>[1,8,6,4,7,3,5,2]=>[8,1,3,5,2,6,4,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[8,1,5,4,2,7,3,6]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,5,2,6,3,7,4]=>[1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,5,2,7,3,8,6,4]=>[1,8,3,7,5,6,4,2]=>[8,1,6,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,2,8,5,3,7,6,4]=>[1,2,8,7,5,6,4,3]=>[8,7,1,2,4,3,5,6]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[1,2,6,3,8,7,5,4]=>[1,2,8,4,7,6,5,3]=>[8,7,1,5,2,3,4,6]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[1,2,7,6,3,8,5,4]=>[1,2,8,7,5,6,4,3]=>[8,7,1,2,4,3,5,6]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[1,6,2,7,3,8,5,4]=>[1,8,3,7,5,6,4,2]=>[8,1,6,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,7,2,8,5,3,6,4]=>[1,8,3,7,6,5,4,2]=>[8,1,6,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,7,4,2,8,6,3,5]=>[1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[7,1,8,3,2,6,4,5]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[7,2,1,8,6,3,4,5]=>[8,3,2,7,6,5,4,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[1,8,7,3,2,6,4,5]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,2,8,7,5,3,6,4]=>[1,2,8,7,6,5,4,3]=>[8,7,1,2,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,2,8,6,3,7,5,4]=>[1,2,8,7,5,6,4,3]=>[8,7,1,2,4,3,5,6]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[1,2,7,3,8,6,5,4]=>[1,2,8,4,7,6,5,3]=>[8,7,1,5,2,3,4,6]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,7,6,3,4,5,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[6,4,1,5,2,7,3,8]=>[7,5,3,4,2,6,1,8]=>[2,4,6,5,7,3,8,1]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[8,1,4,5,3,7,6,2]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[5,1,7,8,6,2,4,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,1,4,8,3,5,7,2]=>[8,2,6,7,5,3,4,1]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[7,1,8,6,3,4,5,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,1,4,5,3,8,6,2]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[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]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[7,4,1,5,2,6,3,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[6,3,5,7,2,1,4,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,3,5,8,2,1,7,4]=>[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[6,3,5,7,2,1,8,4]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[3,4,6,1,7,8,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[5,8,1,6,2,4,3,7]=>[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[6,3,5,8,2,1,4,7]=>[7,6,5,8,3,2,1,4]=>[2,3,4,1,6,7,8,5]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[2,3,4,1,8,6,5,7]=>[4,2,3,1,8,7,6,5]=>[5,7,6,8,1,2,3,4]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]
[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]=>[4,7,1,2,8,3,5,6]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[2,8,6,7,1,3,5,4]=>[5,8,7,6,1,4,3,2]=>[4,1,2,3,8,5,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[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]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[7,4,5,6,3,1,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[2,7,6,8,1,3,5,4]=>[5,8,7,6,1,4,3,2]=>[4,1,2,3,8,5,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[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]=>[5,1,3,8,2,6,4,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[2,6,1,3,8,5,7,4]=>[3,8,1,4,7,6,5,2]=>[6,1,8,5,2,3,4,7]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[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]=>[5,1,2,8,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[2,7,6,1,4,3,5,8]=>[4,7,6,1,5,3,2,8]=>[5,2,3,8,4,6,7,1]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[7,8,1,6,3,4,2,5]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,3,8,6,4,1,7,5]=>[6,2,8,7,5,1,4,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[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]=>[5,7,6,8,1,2,3,4]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]
[2,8,6,1,7,3,4,5]=>[4,8,7,1,6,5,3,2]=>[5,1,2,8,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[2,3,8,1,6,4,7,5]=>[4,2,8,1,7,6,5,3]=>[5,7,1,8,2,3,4,6]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[2,3,8,1,4,5,7,6]=>[4,2,8,1,5,6,7,3]=>[5,7,1,8,4,3,2,6]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]
[2,8,6,1,4,3,5,7]=>[4,8,7,1,6,5,3,2]=>[5,1,2,8,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,2,3,4,5,6,7,9,8]=>[1,2,3,4,5,6,7,9,8]=>[9,8,7,6,5,4,3,1,2]=>[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]
[2,1,3,4,5,6,7,8,9]=>[2,1,3,4,5,6,7,8,9]=>[8,9,7,6,5,4,3,2,1]=>[[[[[[[[.,[.,.]],.],.],.],.],.],.],.]
[1,2,3,4,5,6,7,8,10,9]=>[1,2,3,4,5,6,7,8,10,9]=>[10,9,8,7,6,5,4,3,1,2]=>[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]]
[2,1,3,4,5,6,7,8,9,10]=>[2,1,3,4,5,6,7,8,9,10]=>[9,10,8,7,6,5,4,3,2,1]=>[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.]
[1,2,3,4,5,6,7,8,9,11,10]=>[1,2,3,4,5,6,7,8,9,11,10]=>[11,10,9,8,7,6,5,4,3,1,2]=>[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],[.,.]]
[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]=>[.,[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]]
[2,1,3,4,5,6,7,8,9,10,11]=>[2,1,3,4,5,6,7,8,9,10,11]=>[10,11,9,8,7,6,5,4,3,2,1]=>[[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.],.]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[3,2,1,7,6,4,5,8]=>[3,2,1,7,6,5,4,8]=>[6,7,8,2,3,4,5,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[4,1,3,7,6,2,5,8]=>[6,2,3,7,5,1,4,8]=>[3,7,6,2,4,8,5,1]=>[[[.,[[.,.],.]],[.,[[.,.],.]]],.]
[8,1,6,5,2,3,7,4]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,2,7,6,3,4,5,8]=>[1,2,7,6,5,4,3,8]=>[8,7,2,3,4,5,6,1]=>[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]
[1,2,8,3,7,4,5,6]=>[1,2,8,4,7,6,5,3]=>[8,7,1,5,2,3,4,6]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[8,1,7,2,6,3,5,4]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,1,8,2,6,4,3,5]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,1,8,2,4,7,3,5]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[5,1,8,3,2,7,4,6]=>[7,2,8,5,4,6,1,3]=>[2,7,1,4,5,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[4,1,3,8,2,7,5,6]=>[5,2,3,8,1,7,6,4]=>[4,7,6,1,8,2,3,5]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]
[3,2,1,8,4,7,5,6]=>[3,2,1,8,5,7,6,4]=>[6,7,8,1,4,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[3,2,8,7,1,6,5,4]=>[5,2,8,7,1,6,4,3]=>[4,7,1,2,8,3,5,6]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[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]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,7,8,2,5,6,3,4]=>[1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,5,4,8,2,7,3,6]=>[1,7,5,8,3,6,2,4]=>[8,2,4,1,6,3,7,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[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]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[7,4,3,1,2,6,5,8]=>[7,5,4,3,2,6,1,8]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[1,5,4,2,3,6,7,8]=>[1,5,4,3,2,6,7,8]=>[8,4,5,6,7,3,2,1]=>[[[[[.,.],[.,[.,[.,.]]]],.],.],.]
[7,5,1,4,2,6,3,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[6,5,1,4,3,2,7,8]=>[6,5,3,4,2,1,7,8]=>[3,4,6,5,7,8,2,1]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[5,6,1,3,4,2,7,8]=>[6,5,3,4,2,1,7,8]=>[3,4,6,5,7,8,2,1]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[4,6,2,1,5,3,7,8]=>[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[3,2,6,1,5,4,7,8]=>[4,2,6,1,5,3,7,8]=>[5,7,3,8,4,6,2,1]=>[[[[.,[.,.]],[[.,.],[.,.]]],.],.]
[3,2,7,1,4,6,5,8]=>[4,2,7,1,5,6,3,8]=>[5,7,2,8,4,3,6,1]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]
[5,7,1,3,2,6,4,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[6,7,1,2,4,5,3,8]=>[7,6,3,4,5,2,1,8]=>[2,3,6,5,4,7,8,1]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[7,6,1,2,5,4,3,8]=>[7,6,3,4,5,2,1,8]=>[2,3,6,5,4,7,8,1]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[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]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[5,8,1,3,2,4,7,6]=>[6,8,3,5,4,1,7,2]=>[3,1,6,4,5,8,2,7]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[3,2,8,1,4,5,7,6]=>[4,2,8,1,5,6,7,3]=>[5,7,1,8,4,3,2,6]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]
[4,1,3,2,5,6,7,8]=>[4,2,3,1,5,6,7,8]=>[5,7,6,8,4,3,2,1]=>[[[[[.,[[.,.],[.,.]]],.],.],.],.]
[5,1,2,4,3,6,7,8]=>[5,2,3,4,1,6,7,8]=>[4,7,6,5,8,3,2,1]=>[[[[.,[[[.,.],.],[.,.]]],.],.],.]
[6,1,2,3,5,4,7,8]=>[6,2,3,4,5,1,7,8]=>[3,7,6,5,4,8,2,1]=>[[[.,[[[[.,.],.],.],[.,.]]],.],.]
[7,1,2,3,4,6,5,8]=>[7,2,3,4,5,6,1,8]=>[2,7,6,5,4,3,8,1]=>[[.,[[[[[.,.],.],.],.],[.,.]]],.]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,4,8,6,7,1,2,5]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[4,5,6,7,1,8,3,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,5,6,2,7,4,8,1]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[2,5,6,1,8,7,4,3]=>[4,8,7,1,6,5,3,2]=>[5,1,2,8,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[2,5,6,8,1,7,3,4]=>[5,8,7,6,1,4,3,2]=>[4,1,2,3,8,5,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[1,4,8,6,2,3,7,5]=>[1,6,8,7,5,2,4,3]=>[8,3,1,2,4,7,5,6]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]
[1,5,6,8,2,3,7,4]=>[1,8,6,7,5,3,4,2]=>[8,1,3,2,4,6,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[1,5,6,2,8,4,7,3]=>[1,8,6,4,7,3,5,2]=>[8,1,3,5,2,6,4,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[1,4,2,6,8,5,7,3]=>[1,8,3,6,7,4,5,2]=>[8,1,6,3,2,5,4,7]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[8,1,3,2,5,4,6,7]=>[8,2,4,3,6,5,7,1]=>[1,7,5,6,3,4,2,8]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[8,2,3,1,5,6,4,7]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[2,4,1,6,8,7,5,3]=>[3,8,1,7,6,5,4,2]=>[6,1,8,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[5,2,7,8,1,6,3,4]=>[8,5,7,6,2,4,3,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[5,3,7,2,6,4,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,7,3,1,5,8,4,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,2,7,3,4,6,8,1]=>[8,5,6,4,2,3,7,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[5,1,7,3,4,8,6,2]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[5,1,7,8,2,3,6,4]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,1,8,7,2,3,6,5]=>[6,2,8,7,5,1,4,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[4,1,3,7,5,8,6,2]=>[8,2,3,7,5,6,4,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[2,1,8,3,4,7,6,5]=>[2,1,8,4,5,7,6,3]=>[7,8,1,5,4,2,3,6]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]
[1,8,2,3,4,5,7,6]=>[1,8,3,4,5,6,7,2]=>[8,1,6,5,4,3,2,7]=>[[.,.],[[[[[.,.],.],.],.],[.,.]]]
[1,2,8,3,4,6,7,5]=>[1,2,8,4,5,7,6,3]=>[8,7,1,5,4,2,3,6]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]
[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]=>[1,5,4,7,6,2,3,8]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[5,2,6,4,1,8,7,3]=>[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[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]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[5,6,2,1,3,8,7,4]=>[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[5,6,1,3,2,8,7,4]=>[8,5,3,4,2,7,6,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[5,6,3,1,2,8,7,4]=>[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[5,6,3,2,1,8,7,4]=>[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,1,7,4,8,2,6,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,5,7,4,8,3,6,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,5,7,4,8,6,3,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,1,7,4,8,6,2,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,7,1,3,8,6,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,1,7,8,4,5,2,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,6,7,8,4,5,3,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,6,7,8,4,3,5,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,1,7,8,4,2,5,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,7,1,8,3,2,5,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[5,2,7,1,8,4,6,3]=>[8,4,7,2,6,5,3,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[4,2,1,7,8,5,6,3]=>[8,3,2,7,6,5,4,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[4,1,2,7,8,6,5,3]=>[8,2,3,7,6,5,4,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[6,2,7,8,1,5,4,3]=>[8,5,7,6,2,4,3,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[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]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[5,1,7,2,8,6,4,3]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[1,5,7,3,8,6,4,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,6,7,8,3,5,4,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,1,7,8,2,5,4,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,7,1,8,2,5,3,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,1,7,8,5,2,4,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,6,7,8,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,1,7,8,5,4,2,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,7,1,8,5,3,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[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]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[3,4,7,1,8,6,5,2]=>[8,4,7,2,6,5,3,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,5,2,7,4,8,1,3]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,7,1,4,8,3,2,6]=>[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,7,1,6,2,4,5,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[4,3,8,7,1,5,6,2]=>[8,5,7,6,2,4,3,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[5,6,1,8,7,3,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,4,2,7,3,6,8,1]=>[8,5,3,6,2,4,7,1]=>[1,4,6,3,7,5,2,8]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[7,5,3,6,4,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,2,7,4,3,5,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,7,3,6,4,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,7,6,4,5,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[2,7,6,5,3,4,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,5,4,3,1,8,2,7]=>[7,5,4,3,2,8,1,6]=>[2,4,5,6,7,1,8,3]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[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]=>[8,2,3,5,1,6,7,4]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]
[5,7,4,2,1,8,3,6]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[5,4,6,3,1,8,2,7]=>[7,5,4,3,2,8,1,6]=>[2,4,5,6,7,1,8,3]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,8,1,6,3,2,5,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,8,1,7,3,5,6,4]=>[3,8,1,7,5,6,4,2]=>[6,1,8,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[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]=>[3,1,6,5,2,8,4,7]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,7,1,5,8,4,2,6]=>[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,7,2,8,5,3,4,6]=>[1,8,3,7,6,5,4,2]=>[8,1,6,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[7,6,1,8,4,3,2,5]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,6,1,7,4,2,5,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,1,2,7,3,4,6,5]=>[8,2,3,7,5,6,4,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[7,1,2,8,3,5,4,6]=>[8,2,3,7,5,6,4,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[7,2,6,1,8,4,3,5]=>[8,4,7,2,6,5,3,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,2,6,1,7,3,5,4]=>[8,4,7,2,6,5,3,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,3,1,5,8,4,2,6]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,4,2,7,1,8,3,6]=>[7,5,3,8,2,6,1,4]=>[2,4,6,1,7,3,8,5]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,1,8,6,5,3,2,4]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,2,8,7,6,3,4,5]=>[1,2,8,7,6,5,4,3]=>[8,7,1,2,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,3,8,7,4,6,2,5]=>[1,7,8,6,5,4,2,3]=>[8,2,1,3,4,5,7,6]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[1,5,8,3,7,6,2,4]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,1,6,8,7,4,2,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,5,7,4,6,2,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,7,1,8,5,6,2,4]=>[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[3,7,2,8,5,6,1,4]=>[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[2,7,3,8,5,6,1,4]=>[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,8,1,7,4,5,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,8,1,7,4,6,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,7,4,8,5,6,2,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,7,3,8,5,6,2,4]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,8,5,6,1,7,3,4]=>[5,8,7,6,1,4,3,2]=>[4,1,2,3,8,5,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[1,8,5,6,2,7,3,4]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,7,3,8,4,6,2,5]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,8,1,7,3,6,2,5]=>[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[5,8,1,7,3,6,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,8,1,7,3,5,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[3,7,2,8,4,6,1,5]=>[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[3,7,1,8,4,6,2,5]=>[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[1,8,4,7,3,6,2,5]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,6,7,3,5,2,4]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[8,1,6,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[2,5,1,8,6,7,3,4]=>[3,8,1,7,6,5,4,2]=>[6,1,8,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[2,6,1,8,5,7,3,4]=>[3,8,1,7,6,5,4,2]=>[6,1,8,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,6,2,8,5,7,3,4]=>[1,8,3,7,6,5,4,2]=>[8,1,6,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[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]=>[8,1,6,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[2,6,1,8,4,7,3,5]=>[3,8,1,7,6,5,4,2]=>[6,1,8,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[3,7,2,6,1,8,4,5]=>[5,8,3,7,1,6,4,2]=>[4,1,6,2,8,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[3,7,1,6,2,8,4,5]=>[5,8,3,7,1,6,4,2]=>[4,1,6,2,8,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[4,8,1,6,2,7,3,5]=>[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[5,8,1,6,2,7,3,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,8,1,5,2,6,3,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[8,1,4,2,6,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[2,7,3,6,1,8,4,5]=>[5,8,3,7,1,6,4,2]=>[4,1,6,2,8,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[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]=>[9,8,7,6,5,4,1,2,3]=>[[[[[[[.,.],.],.],.],.],.],[.,[.,.]]]
[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]=>[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.]
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[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,7,4,6,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,7,4,6,3,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,6,3,7,2,8,1,4]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
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[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]=>[2,3,4,1,6,7,8,5]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[5,6,3,8,2,4,1,7]=>[7,6,5,8,3,2,1,4]=>[2,3,4,1,6,7,8,5]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[5,6,3,4,2,8,1,7]=>[7,5,4,3,2,8,1,6]=>[2,4,5,6,7,1,8,3]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[4,6,3,5,2,7,1,8]=>[7,5,4,3,2,6,1,8]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[4,6,3,5,2,8,1,7]=>[7,5,4,3,2,8,1,6]=>[2,4,5,6,7,1,8,3]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[4,6,3,8,2,5,1,7]=>[7,6,5,8,3,2,1,4]=>[2,3,4,1,6,7,8,5]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[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]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
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[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]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[4,7,3,6,2,5,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,7,3,6,2,8,1,5]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,7,3,6,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,7,3,5,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,7,3,5,2,8,1,4]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,7,3,4,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,7,3,4,2,8,1,6]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[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]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[4,7,3,5,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,5,3,7,2,6,1,8]=>[7,5,3,6,2,4,1,8]=>[2,4,6,3,7,5,8,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[4,5,3,7,2,8,1,6]=>[7,5,3,8,2,6,1,4]=>[2,4,6,1,7,3,8,5]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[4,5,3,8,2,7,1,6]=>[7,5,3,8,2,6,1,4]=>[2,4,6,1,7,3,8,5]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[4,8,3,5,2,7,1,6]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[5,8,3,4,2,7,1,6]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[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]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[4,8,3,5,2,6,1,7]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[4,5,3,8,2,6,1,7]=>[7,5,3,8,2,6,1,4]=>[2,4,6,1,7,3,8,5]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[4,7,5,2,1,8,3,6]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[4,8,5,2,1,7,6,3]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,6,5,2,1,3,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[5,6,4,2,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[6,4,5,3,1,2,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[5,4,6,1,3,2,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[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]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,4,5,3,1,7,6,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,4,7,1,3,8,2,6]=>[7,5,8,4,2,6,1,3]=>[2,4,1,5,7,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
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[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,1,6,8,7,4,3,5]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,7,8,6,4,5,3]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
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[7,6,8,5,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
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[5,8,4,2,3,7,6,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,8,4,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
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[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]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[3,7,1,8,6,4,5,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,8,1,6,7,5,2,4]=>[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[3,7,1,6,8,2,5,4]=>[6,8,3,7,5,1,4,2]=>[3,1,6,2,4,8,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[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]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[8,3,2,6,7,5,1,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,1,7,6,8,3,5,4]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,1,3,5,4,7,6,2]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[6,1,8,3,4,5,7,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,1,5,3,4,8,6,2]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[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]=>[1,7,2,5,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[1,7,2,4,5,6,3,8]=>[1,7,3,6,5,4,2,8]=>[8,2,6,3,4,5,7,1]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[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]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[6,5,2,8,4,1,3,7]=>[7,6,5,8,3,2,1,4]=>[2,3,4,1,6,7,8,5]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[5,6,2,1,4,8,3,7]=>[7,5,4,3,2,8,1,6]=>[2,4,5,6,7,1,8,3]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[3,6,1,8,5,2,4,7]=>[6,7,3,8,5,1,2,4]=>[3,2,6,1,4,8,7,5]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]
[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]=>[5,6,7,8,2,1,4,3]=>[[[.,[.,[.,[.,.]]]],.],[[.,.],.]]
[5,8,1,6,3,2,4,7]=>[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[6,3,8,5,2,1,4,7]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[8,3,1,5,2,4,7,6]=>[8,5,3,6,2,4,7,1]=>[1,4,6,3,7,5,2,8]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[3,8,2,6,1,5,7,4]=>[5,8,3,7,1,6,4,2]=>[4,1,6,2,8,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[3,8,6,7,2,1,5,4]=>[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[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]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[5,2,7,3,1,8,4,6]=>[7,5,8,4,2,6,1,3]=>[2,4,1,5,7,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[5,8,2,4,1,3,7,6]=>[6,8,5,4,3,1,7,2]=>[3,1,4,5,6,8,2,7]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[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]=>[3,1,6,2,4,8,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[3,1,8,6,4,2,7,5]=>[6,2,8,7,5,1,4,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[8,1,6,7,4,3,2,5]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,5,8,7,2,4,1,6]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[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]=>[6,5,8,7,1,2,3,4]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]
[2,5,8,3,1,7,4,6]=>[5,7,8,4,1,6,2,3]=>[4,2,1,5,8,3,7,6]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]
[8,6,1,3,7,2,4,5]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,8,1,3,6,4,7,5]=>[3,8,1,4,7,6,5,2]=>[6,1,8,5,2,3,4,7]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[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]=>[1,3,4,5,6,7,8,2,9]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]]
[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[2,3,4,5,6,7,8,9,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[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]=>[1,3,4,5,6,7,8,2,9]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]]
[8,7,6,5,4,3,1,2,9]=>[8,7,6,5,4,3,2,1,9]=>[2,3,4,5,6,7,8,9,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[9,8,7,6,5,4,3,2,10,1]=>[10,8,7,6,5,4,3,2,9,1]=>[1,3,4,5,6,7,8,9,2,10]=>[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]]
[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[1,6,2,4,8,5,3,7]=>[1,7,3,6,8,4,2,5]=>[8,2,6,3,1,5,7,4]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]]
[1,6,2,4,7,5,3,8]=>[1,7,3,6,5,4,2,8]=>[8,2,6,3,4,5,7,1]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[1,7,3,8,5,2,4,6]=>[1,8,6,7,5,3,4,2]=>[8,1,3,2,4,6,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[4,2,5,7,8,6,1,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[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]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[1,3,6,4,8,5,7,2]=>[1,8,6,4,7,3,5,2]=>[8,1,3,5,2,6,4,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[1,3,6,4,7,5,8,2]=>[1,8,6,4,5,3,7,2]=>[8,1,3,5,4,6,2,7]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[6,2,4,7,5,8,1,3]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,7,2,3,1,6,8,4]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,5,4,2,6,8,1,3]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[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]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[1,2,8,4,3,5,6,7]=>[1,2,8,5,4,6,7,3]=>[8,7,1,4,5,3,2,6]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]
[1,8,7,4,3,2,5,6]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,6,3,8,2,4,7,5]=>[1,8,5,7,3,6,4,2]=>[8,1,4,2,6,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[5,3,8,1,2,7,4,6]=>[7,5,8,4,2,6,1,3]=>[2,4,1,5,7,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[5,1,8,3,2,6,4,7]=>[7,2,8,5,4,6,1,3]=>[2,7,1,4,5,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[5,7,3,1,2,6,4,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[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]=>[8,2,1,5,4,3,7,6]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]
[1,4,6,2,8,3,7,5]=>[1,6,8,4,7,2,5,3]=>[8,3,1,5,2,7,4,6]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[5,3,1,6,7,2,4,8]=>[7,6,3,4,5,2,1,8]=>[2,3,6,5,4,7,8,1]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[5,3,6,1,2,8,4,7]=>[7,5,4,3,2,8,1,6]=>[2,4,5,6,7,1,8,3]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[1,7,4,5,3,8,6,2]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[6,3,4,1,2,5,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[6,3,1,4,2,7,5,8]=>[7,5,3,4,2,6,1,8]=>[2,4,6,5,7,3,8,1]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[1,8,3,2,4,5,6,7]=>[1,8,4,3,5,6,7,2]=>[8,1,5,6,4,3,2,7]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]
[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]=>[1,3,6,5,2,7,4,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[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]=>[1,3,6,5,4,7,2,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[7,2,3,1,4,5,8,6]=>[8,4,3,2,5,6,7,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,[.,[.,.]]],.],.],[.,.]]]
[8,6,1,4,3,2,5,7]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,1,2,4,6,5,3,7]=>[8,2,3,7,6,5,4,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[8,1,2,5,4,6,3,7]=>[8,2,3,7,5,6,4,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[8,2,6,5,1,3,4,7]=>[8,5,7,6,2,4,3,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[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]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[8,1,2,5,6,4,3,7]=>[8,2,3,7,6,5,4,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[8,1,2,6,5,4,3,7]=>[8,2,3,7,6,5,4,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[1,7,5,4,2,8,3,6]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[5,1,4,8,2,7,3,6]=>[7,2,5,8,3,6,1,4]=>[2,7,4,1,6,3,8,5]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[1,4,6,8,2,7,3,5]=>[1,7,8,6,5,4,2,3]=>[8,2,1,3,4,5,7,6]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[5,1,4,7,2,8,3,6]=>[7,2,5,8,3,6,1,4]=>[2,7,4,1,6,3,8,5]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[1,7,4,5,2,8,3,6]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[3,7,5,1,2,8,4,6]=>[5,8,7,4,1,6,3,2]=>[4,1,2,5,8,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[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]=>[2,4,1,3,7,5,8,6]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[4,1,5,8,2,7,3,6]=>[7,2,5,8,3,6,1,4]=>[2,7,4,1,6,3,8,5]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[3,1,2,6,4,8,7,5]=>[3,2,1,8,5,7,6,4]=>[6,7,8,1,4,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[2,1,7,6,3,4,8,5]=>[2,1,8,6,5,4,7,3]=>[7,8,1,3,4,5,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[3,1,2,7,4,6,8,5]=>[3,2,1,8,5,6,7,4]=>[6,7,8,1,4,3,2,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[1,4,7,2,6,8,3,5]=>[1,7,8,4,5,6,2,3]=>[8,2,1,5,4,3,7,6]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]
[1,2,3,6,8,5,7,4]=>[1,2,3,8,7,6,5,4]=>[8,7,6,1,2,3,4,5]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[1,4,2,7,6,8,3,5]=>[1,7,3,8,5,6,2,4]=>[8,2,6,1,4,3,7,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[3,1,2,8,4,6,7,5]=>[3,2,1,8,5,7,6,4]=>[6,7,8,1,4,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[3,1,2,7,6,4,8,5]=>[3,2,1,8,6,5,7,4]=>[6,7,8,1,3,4,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[1,7,4,3,2,5,8,6]=>[1,8,5,4,3,6,7,2]=>[8,1,4,5,6,3,2,7]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[4,8,7,2,1,3,5,6]=>[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[1,8,7,3,4,2,5,6]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,1,7,8,2,6,4,5]=>[5,2,8,7,1,6,4,3]=>[4,7,1,2,8,3,5,6]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[1,4,2,7,8,3,6,5]=>[1,6,3,8,7,2,5,4]=>[8,3,6,1,2,7,4,5]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]
[5,2,8,1,3,4,7,6]=>[6,4,8,2,5,1,7,3]=>[3,5,1,7,4,8,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[1,4,2,6,8,3,7,5]=>[1,6,3,8,7,2,5,4]=>[8,3,6,1,2,7,4,5]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]
[1,2,3,7,8,5,6,4]=>[1,2,3,8,7,6,5,4]=>[8,7,6,1,2,3,4,5]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[1,2,3,7,5,8,6,4]=>[1,2,3,8,7,6,5,4]=>[8,7,6,1,2,3,4,5]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[1,4,2,7,3,8,6,5]=>[1,5,3,8,2,7,6,4]=>[8,4,6,1,7,2,3,5]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[3,1,7,2,8,6,4,5]=>[4,2,8,1,7,6,5,3]=>[5,7,1,8,2,3,4,6]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[1,2,3,8,7,5,6,4]=>[1,2,3,8,7,6,5,4]=>[8,7,6,1,2,3,4,5]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[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]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[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]=>[2,3,4,1,6,7,8,5]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[3,6,4,8,2,5,1,7]=>[7,6,5,8,3,2,1,4]=>[2,3,4,1,6,7,8,5]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[2,6,4,8,3,5,7,1]=>[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[2,6,4,7,3,5,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,6,4,7,2,5,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,6,3,7,2,1,5,8]=>[6,7,5,4,3,1,2,8]=>[3,2,4,5,6,8,7,1]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[5,6,3,7,2,1,4,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,4,3,2,1,6,5,7]=>[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[6,4,3,2,1,7,5,8]=>[7,5,4,3,2,6,1,8]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[4,5,3,2,7,1,6,8]=>[6,4,3,2,7,1,5,8]=>[3,5,6,7,2,8,4,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[3,5,4,2,8,6,1,7]=>[7,4,3,2,8,6,1,5]=>[2,5,6,7,1,3,8,4]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]
[6,4,3,2,1,8,5,7]=>[7,5,4,3,2,8,1,6]=>[2,4,5,6,7,1,8,3]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[7,4,3,2,1,8,5,6]=>[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[8,4,3,2,1,7,5,6]=>[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[8,4,3,2,1,7,6,5]=>[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[7,4,3,2,1,8,6,5]=>[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[6,4,3,2,1,8,7,5]=>[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[5,6,3,8,2,1,7,4]=>[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[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]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,6,3,7,2,1,8,4]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,6,3,7,2,1,8,5]=>[6,8,5,4,3,1,7,2]=>[3,1,4,5,6,8,2,7]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[3,6,4,7,2,8,1,5]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[2,6,4,7,3,8,5,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,5,4,2,7,8,1,6]=>[7,4,3,2,8,6,1,5]=>[2,5,6,7,1,3,8,4]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]
[4,5,3,2,7,1,8,6]=>[6,4,3,2,8,1,7,5]=>[3,5,6,7,1,8,2,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[8,4,3,2,1,6,7,5]=>[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[6,4,3,2,1,5,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[5,6,3,4,1,2,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[8,5,3,7,2,6,4,1]=>[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]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,2,5,8,4,6,1,7]=>[7,2,5,8,3,6,1,4]=>[2,7,4,1,6,3,8,5]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[3,5,2,4,1,7,6,8]=>[5,4,3,2,1,7,6,8]=>[4,5,6,7,8,2,3,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[4,2,1,5,7,3,6,8]=>[6,3,2,4,7,1,5,8]=>[3,6,7,5,2,8,4,1]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]
[4,5,2,3,7,1,6,8]=>[6,4,3,2,7,1,5,8]=>[3,5,6,7,2,8,4,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[4,2,5,3,8,1,6,7]=>[6,4,3,2,8,1,7,5]=>[3,5,6,7,1,8,2,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[4,2,5,8,3,1,6,7]=>[6,5,3,8,2,1,7,4]=>[3,4,6,1,7,8,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[3,1,5,4,2,8,6,7]=>[5,2,4,3,1,8,7,6]=>[4,7,5,6,8,1,2,3]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]
[4,3,8,5,2,1,6,7]=>[6,5,8,4,2,1,7,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[4,7,3,5,2,1,6,8]=>[6,7,5,4,3,1,2,8]=>[3,2,4,5,6,8,7,1]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[4,3,6,2,5,1,7,8]=>[6,4,5,2,3,1,7,8]=>[3,5,4,7,6,8,2,1]=>[[[.,[[.,.],[[.,.],[.,.]]]],.],.]
[4,6,3,2,5,1,7,8]=>[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[4,6,7,1,3,2,5,8]=>[6,7,5,4,3,1,2,8]=>[3,2,4,5,6,8,7,1]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[4,5,1,7,3,2,6,8]=>[6,5,3,7,2,1,4,8]=>[3,4,6,2,7,8,5,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[4,5,1,3,7,2,6,8]=>[6,4,3,2,7,1,5,8]=>[3,5,6,7,2,8,4,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[3,5,1,4,2,7,6,8]=>[5,4,3,2,1,7,6,8]=>[4,5,6,7,8,2,3,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[2,5,1,4,3,7,8,6]=>[3,5,1,4,2,8,7,6]=>[6,4,8,5,7,1,2,3]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]
[5,2,1,4,3,7,8,6]=>[5,3,2,4,1,8,7,6]=>[4,6,7,5,8,1,2,3]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]
[5,3,1,4,2,7,6,8]=>[5,4,3,2,1,7,6,8]=>[4,5,6,7,8,2,3,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[4,3,1,5,7,2,6,8]=>[6,3,2,4,7,1,5,8]=>[3,6,7,5,2,8,4,1]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]
[4,3,6,1,5,2,7,8]=>[6,4,5,2,3,1,7,8]=>[3,5,4,7,6,8,2,1]=>[[[.,[[.,.],[[.,.],[.,.]]]],.],.]
[4,6,3,1,5,2,7,8]=>[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[5,3,6,4,1,2,7,8]=>[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[4,3,6,1,7,2,5,8]=>[6,4,7,2,5,1,3,8]=>[3,5,2,7,4,8,6,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[6,3,4,1,2,7,5,8]=>[7,5,4,3,2,6,1,8]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[5,3,6,2,1,4,7,8]=>[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[5,6,2,7,1,3,4,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,5,2,7,3,1,6,8]=>[6,5,3,7,2,1,4,8]=>[3,4,6,2,7,8,5,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[4,6,7,2,3,1,5,8]=>[6,7,5,4,3,1,2,8]=>[3,2,4,5,6,8,7,1]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[3,2,6,1,4,7,5,8]=>[4,2,7,1,5,6,3,8]=>[5,7,2,8,4,3,6,1]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]
[3,6,2,1,4,7,5,8]=>[4,7,3,1,5,6,2,8]=>[5,2,6,8,4,3,7,1]=>[[[.,.],[[[.,[.,.]],.],[.,.]]],.]
[3,6,7,2,4,5,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[3,5,2,7,4,6,1,8]=>[7,5,3,6,2,4,1,8]=>[2,4,6,3,7,5,8,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[3,7,2,4,8,5,1,6]=>[7,8,3,4,6,5,1,2]=>[2,1,6,5,3,4,8,7]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]
[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]=>[5,7,2,8,4,3,6,1]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]
[3,6,2,1,5,7,4,8]=>[4,7,3,1,5,6,2,8]=>[5,2,6,8,4,3,7,1]=>[[[.,.],[[[.,[.,.]],.],[.,.]]],.]
[6,3,2,1,5,7,4,8]=>[7,4,3,2,5,6,1,8]=>[2,5,6,7,4,3,8,1]=>[[.,[[[.,[.,[.,.]]],.],[.,.]]],.]
[6,4,2,1,5,3,7,8]=>[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[4,2,6,1,5,3,7,8]=>[6,4,5,2,3,1,7,8]=>[3,5,4,7,6,8,2,1]=>[[[.,[[.,.],[[.,.],[.,.]]]],.],.]
[7,4,1,5,6,2,3,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[7,3,1,5,2,6,4,8]=>[7,5,3,6,2,4,1,8]=>[2,4,6,3,7,5,8,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[6,3,5,1,2,7,4,8]=>[7,5,4,3,2,6,1,8]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[6,4,5,1,7,2,3,8]=>[7,6,4,3,5,2,1,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[5,2,6,4,1,3,7,8]=>[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[4,6,5,1,7,2,3,8]=>[7,6,4,3,5,2,1,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[6,5,3,1,4,7,2,8]=>[7,5,4,3,2,6,1,8]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[2,3,1,8,5,4,7,6]=>[3,2,1,8,6,5,7,4]=>[6,7,8,1,3,4,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[2,4,1,5,3,8,7,6]=>[3,5,1,4,2,8,7,6]=>[6,4,8,5,7,1,2,3]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]
[3,4,5,1,2,8,7,6]=>[5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[3,4,5,1,8,2,7,6]=>[6,4,3,2,8,1,7,5]=>[3,5,6,7,1,8,2,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[2,4,8,5,3,1,7,6]=>[6,5,8,4,2,1,7,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[3,4,5,8,2,1,7,6]=>[6,5,3,8,2,1,7,4]=>[3,4,6,1,7,8,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[3,4,5,2,8,1,7,6]=>[6,4,3,2,8,1,7,5]=>[3,5,6,7,1,8,2,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[3,5,6,2,7,8,1,4]=>[7,8,4,3,5,6,1,2]=>[2,1,5,6,4,3,8,7]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]
[3,4,6,2,8,7,1,5]=>[7,4,8,2,6,5,1,3]=>[2,5,1,7,3,4,8,6]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[3,4,6,8,2,7,1,5]=>[7,5,8,6,2,4,1,3]=>[2,4,1,3,7,5,8,6]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[2,4,8,6,3,7,1,5]=>[7,5,8,6,2,4,1,3]=>[2,4,1,3,7,5,8,6]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[1,8,4,6,3,7,2,5]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,4,6,3,7,5,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,4,6,8,2,7,5,1]=>[8,5,7,6,2,4,3,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[3,4,6,2,8,7,5,1]=>[8,4,7,2,6,5,3,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[3,5,6,2,7,4,1,8]=>[7,6,4,3,5,2,1,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[4,5,6,7,2,8,3,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,5,6,7,3,2,4]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,4,6,1,8,7,2,5]=>[7,4,8,2,6,5,1,3]=>[2,5,1,7,3,4,8,6]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[2,4,1,6,8,7,3,5]=>[3,7,1,8,6,5,2,4]=>[6,2,8,1,3,4,7,5]=>[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]
[2,3,1,8,6,7,4,5]=>[3,2,1,8,7,6,5,4]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[2,5,1,6,7,8,4,3]=>[3,8,1,7,5,6,4,2]=>[6,1,8,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[2,5,1,6,7,4,8,3]=>[3,8,1,6,5,4,7,2]=>[6,1,8,3,4,5,2,7]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[3,5,6,1,7,4,2,8]=>[7,6,4,3,5,2,1,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[3,5,6,1,7,4,8,2]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[3,4,6,1,8,7,5,2]=>[8,4,7,2,6,5,3,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[3,4,6,8,1,7,5,2]=>[8,5,7,6,2,4,3,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[2,4,8,6,1,7,5,3]=>[5,8,7,6,1,4,3,2]=>[4,1,2,3,8,5,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[1,8,4,6,2,7,5,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,5,6,7,2,4,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,5,8,6,7,1,4,3]=>[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,5,6,7,1,3,2,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,5,6,7,3,1,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,5,6,7,4,3,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[5,8,2,4,3,7,1,6]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[4,2,5,6,1,7,3,8]=>[7,5,3,4,2,6,1,8]=>[2,4,6,5,7,3,8,1]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[6,1,5,8,3,2,4,7]=>[7,2,6,8,5,3,1,4]=>[2,7,3,1,4,6,8,5]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]
[3,8,2,4,7,1,5,6]=>[6,8,3,4,7,1,5,2]=>[3,1,6,5,2,8,4,7]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[4,3,5,6,7,1,8,2]=>[8,6,3,4,5,2,7,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[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]=>[3,1,6,2,4,8,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[8,3,2,4,6,1,5,7]=>[8,6,3,4,7,2,5,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[7,3,2,4,6,1,5,8]=>[7,6,3,4,5,2,1,8]=>[2,3,6,5,4,7,8,1]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[3,2,5,1,7,4,6,8]=>[4,2,6,1,7,3,5,8]=>[5,7,3,8,2,6,4,1]=>[[[[.,[.,.]],[.,.]],[[.,.],.]],.]
[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]=>[5,7,2,8,1,3,6,4]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[5,7,2,8,1,3,6,4]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]
[3,2,5,1,6,4,7,8]=>[4,2,6,1,5,3,7,8]=>[5,7,3,8,4,6,2,1]=>[[[[.,[.,.]],[[.,.],[.,.]]],.],.]
[3,2,4,1,8,7,5,6]=>[4,2,3,1,8,7,6,5]=>[5,7,6,8,1,2,3,4]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,5,1,7,8,4,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,2,5,1,6,7,8,4]=>[4,2,8,1,5,6,7,3]=>[5,7,1,8,4,3,2,6]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]
[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]=>[5,7,6,8,2,3,4,1]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[3,2,4,1,6,8,5,7]=>[4,2,3,1,7,8,5,6]=>[5,7,6,8,2,1,4,3]=>[[[.,[[.,.],[.,.]]],.],[[.,.],.]]
[3,2,4,1,8,5,7,6]=>[4,2,3,1,8,6,7,5]=>[5,7,6,8,1,3,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[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]=>[5,7,2,8,4,3,6,1]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]
[6,5,1,7,4,2,3,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[6,5,1,8,4,2,3,7]=>[7,6,3,8,5,2,1,4]=>[2,3,6,1,4,7,8,5]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,5,1,6,4,2,3,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[3,2,5,1,7,6,4,8]=>[4,2,7,1,6,5,3,8]=>[5,7,2,8,3,4,6,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[3,2,5,1,8,6,4,7]=>[4,2,7,1,8,6,3,5]=>[5,7,2,8,1,3,6,4]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]
[8,6,1,5,7,3,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,2,5,1,8,6,7,4]=>[4,2,8,1,7,6,5,3]=>[5,7,1,8,2,3,4,6]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[3,2,4,1,8,6,5,7]=>[4,2,3,1,8,7,6,5]=>[5,7,6,8,1,2,3,4]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]
[3,2,4,1,5,8,6,7]=>[4,2,3,1,5,8,7,6]=>[5,7,6,8,4,1,2,3]=>[[[.,[[.,.],[.,.]]],.],[.,[.,.]]]
[3,2,5,1,7,8,6,4]=>[4,2,8,1,7,6,5,3]=>[5,7,1,8,2,3,4,6]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[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]=>[5,7,1,8,2,3,4,6]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[6,5,7,3,1,8,4,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,6,3,7,1,8,5,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,6,3,7,5,1,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[2,5,7,4,1,6,8,3]=>[5,8,6,4,1,3,7,2]=>[4,1,3,5,8,6,2,7]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]
[5,4,7,3,6,1,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,4,7,8,3,1,6,2]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[6,4,3,8,5,1,7,2]=>[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[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]=>[1,3,6,5,4,7,2,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[2,5,4,6,1,7,3,8]=>[5,7,3,4,1,6,2,8]=>[4,2,6,5,8,3,7,1]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[3,2,5,8,1,6,7,4]=>[5,2,8,7,1,6,4,3]=>[4,7,1,2,8,3,5,6]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[2,5,4,6,8,1,7,3]=>[6,8,3,4,7,1,5,2]=>[3,1,6,5,2,8,4,7]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[4,6,2,1,8,5,7,3]=>[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[2,4,1,7,5,8,6,3]=>[3,8,1,7,5,6,4,2]=>[6,1,8,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[2,4,1,7,5,3,8,6]=>[3,6,1,8,5,2,7,4]=>[6,3,8,1,4,7,2,5]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[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]=>[2,4,1,5,7,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[2,5,8,4,1,6,3,7]=>[5,7,8,4,1,6,2,3]=>[4,2,1,5,8,3,7,6]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]
[3,2,5,6,1,8,4,7]=>[5,2,7,4,1,8,3,6]=>[4,7,2,5,8,1,6,3]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]
[4,8,3,2,6,1,5,7]=>[6,8,4,3,7,1,5,2]=>[3,1,5,6,2,8,4,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[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]=>[5,7,1,8,2,3,4,6]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[3,8,2,5,1,6,7,4]=>[5,8,3,7,1,6,4,2]=>[4,1,6,2,8,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[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]=>[2,5,1,7,3,4,8,6]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[4,3,7,2,6,8,1,5]=>[7,4,8,2,5,6,1,3]=>[2,5,1,7,4,3,8,6]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[4,3,7,8,2,6,1,5]=>[7,5,8,6,2,4,1,3]=>[2,4,1,3,7,5,8,6]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[3,2,5,7,8,1,6,4]=>[6,2,8,7,5,1,4,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[3,2,5,7,1,6,4,8]=>[5,2,7,6,1,4,3,8]=>[4,7,2,3,8,5,6,1]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[6,3,2,7,1,5,4,8]=>[7,5,3,6,2,4,1,8]=>[2,4,6,3,7,5,8,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[6,3,2,7,1,5,8,4]=>[8,5,3,6,2,4,7,1]=>[1,4,6,3,7,5,2,8]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[4,2,6,1,7,8,5,3]=>[8,4,7,2,5,6,3,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[6,2,1,8,5,3,7,4]=>[8,3,2,7,6,5,4,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[6,3,2,7,1,4,8,5]=>[8,5,3,6,2,4,7,1]=>[1,4,6,3,7,5,2,8]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[6,3,2,1,4,7,8,5]=>[8,4,3,2,5,6,7,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,[.,[.,.]]],.],.],[.,.]]]
[6,3,2,1,4,7,5,8]=>[7,4,3,2,5,6,1,8]=>[2,5,6,7,4,3,8,1]=>[[.,[[[.,[.,[.,.]]],.],[.,.]]],.]
[3,5,2,1,7,4,6,8]=>[4,6,3,1,7,2,5,8]=>[5,3,6,8,2,7,4,1]=>[[[[.,.],[.,[.,.]]],[[.,.],.]],.]
[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]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[4,6,2,1,8,3,7,5]=>[6,8,4,3,7,1,5,2]=>[3,1,5,6,2,8,4,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[2,4,1,7,3,8,6,5]=>[3,5,1,8,2,7,6,4]=>[6,4,8,1,7,2,3,5]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[3,5,8,2,1,7,4,6]=>[5,7,8,4,1,6,2,3]=>[4,2,1,5,8,3,7,6]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]
[4,8,3,7,2,1,5,6]=>[6,8,5,7,3,1,4,2]=>[3,1,4,2,6,8,5,7]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[4,3,7,2,8,1,5,6]=>[6,4,8,2,7,1,5,3]=>[3,5,1,7,2,8,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[4,8,3,2,7,1,5,6]=>[6,8,4,3,7,1,5,2]=>[3,1,5,6,2,8,4,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[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]=>[6,7,8,5,1,3,2,4]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]
[5,3,2,1,8,4,6,7]=>[6,4,3,2,8,1,7,5]=>[3,5,6,7,1,8,2,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[9,1,2,3,4,5,6,7,8]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,6,4,5,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[2,3,4,5,6,7,8,9,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[1,9,8,7,5,6,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[9,1,2,3,4,5,6,7,8]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[10,1,2,3,4,5,6,7,8,9]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[10,9,8,7,6,5,4,3,2,1,11]=>[10,9,8,7,6,5,4,3,2,1,11]=>[2,3,4,5,6,7,8,9,10,11,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],.]
[9,8,7,5,6,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[8,7,5,4,6,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[2,3,4,5,6,7,8,9,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[8,7,4,6,5,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[2,3,4,5,6,7,8,9,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[1,9,8,6,5,7,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[9,1,2,3,4,5,6,7,8]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,9,8,5,7,6,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[9,1,2,3,4,5,6,7,8]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,10,9,8,6,7,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[10,1,2,3,4,5,6,7,8,9]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[1,11,10,9,8,7,6,5,4,3,2]=>[1,11,10,9,8,7,6,5,4,3,2]=>[11,1,2,3,4,5,6,7,8,9,10]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,4,5,2,3,1,7,6]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,2,5,3,4,1,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[6,1,5,2,4,3,8,7]=>[6,2,5,4,3,1,8,7]=>[3,7,4,5,6,8,1,2]=>[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]
[6,4,5,1,3,2,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[6,1,5,3,4,2,8,7]=>[6,2,5,4,3,1,8,7]=>[3,7,4,5,6,8,1,2]=>[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]
[6,3,5,1,4,2,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[8,3,5,2,4,1,7,6]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[2,1,8,4,5,3,7,6]=>[2,1,8,6,5,4,7,3]=>[7,8,1,3,4,5,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,7,5,6,3,4,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[8,1,7,3,4,2,6,5]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,7,3,6,2,5,4]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,1,7,2,4,3,6,5]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,1,3,2,7,4,6,5]=>[8,2,4,3,7,6,5,1]=>[1,7,5,6,2,3,4,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[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]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[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]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[4,2,3,1,8,5,7,6]=>[4,3,2,1,8,6,7,5]=>[5,6,7,8,1,3,2,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[4,1,3,2,8,6,7,5]=>[4,2,3,1,8,7,6,5]=>[5,7,6,8,1,2,3,4]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]
[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]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[8,1,3,2,7,5,6,4]=>[8,2,4,3,7,6,5,1]=>[1,7,5,6,2,3,4,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[8,1,7,5,6,2,4,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,7,2,6,4,5,3]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,2,7,1,6,4,5,3]=>[8,4,7,2,6,5,3,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,7,2,8,4,6,5,3]=>[1,8,3,7,6,5,4,2]=>[8,1,6,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[6,7,2,8,4,1,5,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,6,1,8,4,5,7,3]=>[3,8,1,7,6,5,4,2]=>[6,1,8,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[2,8,4,6,1,5,7,3]=>[5,8,7,6,1,4,3,2]=>[4,1,2,3,8,5,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[3,1,6,8,4,5,7,2]=>[8,2,6,7,5,3,4,1]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[2,3,6,8,4,5,7,1]=>[8,2,6,7,5,3,4,1]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,5,7,8,2,4,6,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,1,7,8,2,4,6,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[4,1,6,2,8,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[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]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[3,2,7,8,4,6,5,1]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,2,7,8,1,4,6,3]=>[8,5,7,6,2,4,3,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[1,2,7,8,5,4,6,3]=>[1,2,8,7,6,5,4,3]=>[8,7,1,2,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[4,2,1,3,8,5,6,7]=>[4,3,2,1,8,6,7,5]=>[5,6,7,8,1,3,2,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[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]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[2,8,3,5,4,1,6,7]=>[6,8,3,5,4,1,7,2]=>[3,1,6,4,5,8,2,7]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[2,8,4,5,3,1,6,7]=>[6,8,5,4,3,1,7,2]=>[3,1,4,5,6,8,2,7]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[6,4,8,5,2,3,1,7]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[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]=>[5,6,7,8,1,3,2,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[3,4,2,1,8,5,6,7]=>[4,3,2,1,8,6,7,5]=>[5,6,7,8,1,3,2,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,6,8,5,4,3,2,7]=>[1,7,8,6,5,4,2,3]=>[8,2,1,3,4,5,7,6]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[4,6,8,5,1,3,2,7]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[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]=>[2,5,1,7,3,4,8,6]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[4,1,8,3,5,6,2,7]=>[7,2,8,4,5,6,1,3]=>[2,7,1,5,4,3,8,6]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[5,6,8,4,1,3,2,7]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[1,6,8,4,5,3,2,7]=>[1,7,8,6,5,4,2,3]=>[8,2,1,3,4,5,7,6]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[1,7,3,8,5,4,6,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,7,1,8,5,4,6,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,7,3,8,4,6,5,1]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,1,3,8,4,6,5,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[4,1,2,3,8,5,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[2,8,5,4,3,1,6,7]=>[6,8,5,4,3,1,7,2]=>[3,1,4,5,6,8,2,7]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[6,5,8,4,2,3,1,7]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[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]=>[8,5,6,7,1,3,2,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[7,3,2,8,5,4,6,1]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,4,8,2,5,3,1,7]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[2,8,3,4,5,1,6,7]=>[6,8,3,4,5,1,7,2]=>[3,1,6,5,4,8,2,7]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]
[6,2,8,4,5,3,1,7]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[7,2,3,8,5,4,6,1]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,2,3,1,8,5,6,7]=>[4,3,2,1,8,6,7,5]=>[5,6,7,8,1,3,2,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[3,2,1,4,8,5,6,7]=>[3,2,1,4,8,6,7,5]=>[6,7,8,5,1,3,2,4]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]
[5,1,3,2,4,8,6,7]=>[5,2,4,3,1,8,7,6]=>[4,7,5,6,8,1,2,3]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]
[2,8,1,5,3,4,7,6]=>[3,8,1,6,5,4,7,2]=>[6,1,8,3,4,5,2,7]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[1,2,8,4,5,3,7,6]=>[1,2,8,6,5,4,7,3]=>[8,7,1,3,4,5,2,6]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]
[1,4,2,8,5,3,6,7]=>[1,6,3,8,5,2,7,4]=>[8,3,6,1,4,7,2,5]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[1,8,4,2,5,3,6,7]=>[1,8,6,4,5,3,7,2]=>[8,1,3,5,4,6,2,7]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[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]=>[4,1,6,3,8,5,2,7]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]
[3,5,1,4,8,2,6,7]=>[6,4,3,2,8,1,7,5]=>[3,5,6,7,1,8,2,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[1,5,2,8,4,3,6,7]=>[1,6,3,8,5,2,7,4]=>[8,3,6,1,4,7,2,5]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[1,2,8,5,4,3,6,7]=>[1,2,8,6,5,4,7,3]=>[8,7,1,3,4,5,2,6]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]
[1,2,5,4,3,8,6,7]=>[1,2,5,4,3,8,7,6]=>[8,7,4,5,6,1,2,3]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]
[1,2,4,8,5,3,7,6]=>[1,2,6,8,5,3,7,4]=>[8,7,3,1,4,6,2,5]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]
[1,2,7,4,8,5,3,6]=>[1,2,8,7,6,5,4,3]=>[8,7,1,2,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[5,1,2,7,4,8,3,6]=>[7,2,3,8,5,6,1,4]=>[2,7,6,1,4,3,8,5]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[8,3,5,1,4,7,2,6]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,8,1,5,4,7,3,6]=>[3,8,1,7,5,6,4,2]=>[6,1,8,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,2,8,5,7,4,3,6]=>[1,2,8,7,6,5,4,3]=>[8,7,1,2,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,2,4,8,7,5,3,6]=>[1,2,7,8,6,5,3,4]=>[8,7,2,1,3,4,6,5]=>[[[[.,.],.],.],[.,[.,[[.,.],.]]]]
[2,8,1,4,3,7,6,5]=>[3,8,1,5,4,7,6,2]=>[6,1,8,4,5,2,3,7]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[6,1,2,8,7,4,3,5]=>[8,2,3,7,6,5,4,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[3,6,4,8,1,7,2,5]=>[7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[7,1,6,2,8,4,3,5]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[1,6,7,2,8,4,3,5]=>[1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[6,3,7,1,4,8,2,5]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,1,2,8,5,3,4,6]=>[8,2,3,7,6,5,4,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[1,7,2,8,4,5,3,6]=>[1,8,3,7,6,5,4,2]=>[8,1,6,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[6,1,2,8,4,3,7,5]=>[8,2,3,7,6,5,4,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[6,4,1,2,8,3,7,5]=>[8,6,3,4,7,2,5,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[1,2,7,3,5,8,4,6]=>[1,2,8,4,7,6,5,3]=>[8,7,1,5,2,3,4,6]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[1,2,7,5,8,3,4,6]=>[1,2,8,7,6,5,4,3]=>[8,7,1,2,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[5,8,1,3,7,2,4,6]=>[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[1,2,5,8,7,3,4,6]=>[1,2,7,8,6,5,3,4]=>[8,7,2,1,3,4,6,5]=>[[[[.,.],.],.],[.,[.,[[.,.],.]]]]
[1,2,5,8,3,7,4,6]=>[1,2,7,8,5,6,3,4]=>[8,7,2,1,4,3,6,5]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]
[2,8,1,7,3,5,4,6]=>[3,8,1,7,5,6,4,2]=>[6,1,8,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[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]=>[6,1,8,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,2,8,4,3,6,5]=>[8,2,3,7,6,5,4,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[1,2,8,4,7,5,3,6]=>[1,2,8,7,6,5,4,3]=>[8,7,1,2,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,2,8,7,4,5,3,6]=>[1,2,8,7,6,5,4,3]=>[8,7,1,2,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[2,8,1,7,5,3,4,6]=>[3,8,1,7,6,5,4,2]=>[6,1,8,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[8,3,7,1,5,2,4,6]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[8,6,1,4,2,7,3,5]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,1,6,2,7,4,3,5]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,1,2,8,6,4,3,5]=>[8,2,3,7,6,5,4,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[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]=>[2,4,1,3,7,5,8,6]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[4,2,8,1,7,6,3,5]=>[7,4,8,2,6,5,1,3]=>[2,5,1,7,3,4,8,6]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[2,8,1,7,6,4,3,5]=>[3,8,1,7,6,5,4,2]=>[6,1,8,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,7,3,4,1,8,2,6]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[5,8,3,4,1,7,2,6]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[5,8,3,4,1,6,2,7]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[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]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,7,3,4,1,6,2,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,6,2,8,3,4,1,7]=>[7,6,5,8,3,2,1,4]=>[2,3,4,1,6,7,8,5]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[5,6,2,7,3,4,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,6,2,8,3,5,1,7]=>[7,6,5,8,3,2,1,4]=>[2,3,4,1,6,7,8,5]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[4,7,3,5,1,6,2,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,8,3,5,1,6,2,7]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[4,8,3,5,1,7,2,6]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[4,7,3,5,1,8,2,6]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[5,6,2,3,1,7,4,8]=>[7,5,4,3,2,6,1,8]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[5,6,2,4,1,8,3,7]=>[7,5,4,3,2,8,1,6]=>[2,4,5,6,7,1,8,3]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[5,6,2,4,1,7,3,8]=>[7,5,4,3,2,6,1,8]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[4,6,2,5,1,7,3,8]=>[7,5,4,3,2,6,1,8]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[4,6,2,5,1,8,3,7]=>[7,5,4,3,2,8,1,6]=>[2,4,5,6,7,1,8,3]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[4,5,1,8,3,7,2,6]=>[7,5,3,8,2,6,1,4]=>[2,4,6,1,7,3,8,5]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[4,5,1,7,3,8,2,6]=>[7,5,3,8,2,6,1,4]=>[2,4,6,1,7,3,8,5]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[4,6,2,7,3,8,1,5]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[5,6,2,7,3,8,1,4]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,6,2,7,4,8,1,3]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[2,4,6,3,7,5,8,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[4,5,1,8,3,6,2,7]=>[7,5,3,8,2,6,1,4]=>[2,4,6,1,7,3,8,5]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[9,2,1,3,4,5,6,7,8]=>[9,3,2,4,5,6,7,8,1]=>[1,7,8,6,5,4,3,2,9]=>[.,[[[[[[.,[.,.]],.],.],.],.],[.,.]]]
[4,2,3,5,6,7,8,9,1]=>[9,3,2,4,5,6,7,8,1]=>[1,7,8,6,5,4,3,2,9]=>[.,[[[[[[.,[.,.]],.],.],.],.],[.,.]]]
[3,4,2,5,6,7,8,9,1]=>[9,3,2,4,5,6,7,8,1]=>[1,7,8,6,5,4,3,2,9]=>[.,[[[[[[.,[.,.]],.],.],.],.],[.,.]]]
[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]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[4,6,3,5,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,5,2,7,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[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]=>[3,1,4,2,6,8,5,7]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[3,8,7,4,1,6,2,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[8,7,1,4,2,6,3,5]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,6,3,1,2,4,7,5]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,1,7,4,5,2,3,6]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,8,7,4,5,1,3,6]=>[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,8,3,5,1,7,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[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]=>[1,7,2,5,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[3,4,8,2,5,6,7,1]=>[8,4,7,2,5,6,3,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[5,8,1,4,7,6,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,8,3,1,6,2,7,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[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]=>[5,1,2,3,4,10,6,7,8,9]=>[[.,.],[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]]
[5,6,7,8,10,1,2,3,4,9]=>[9,8,7,6,10,4,3,2,1,5]=>[2,3,4,5,1,7,8,9,10,6]=>[[.,[.,[.,[.,.]]]],[[.,[.,[.,[.,.]]]],.]]
[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]=>[[[[[[.,.],.],.],.],.],[[[[[[.,.],.],.],.],.],.]]
[2,8,9,10,11,12,1,3,4,5,6,7]=>[7,12,11,10,9,8,1,6,5,4,3,2]=>[6,1,2,3,4,5,12,7,8,9,10,11]=>[[.,.],[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]]
[4,5,6,8,10,12,1,2,3,7,9,11]=>[9,8,7,10,11,12,3,2,1,4,5,6]=>[4,5,6,3,2,1,10,11,12,9,8,7]=>[[[[.,[.,[.,.]]],.],.],[[[[.,[.,[.,.]]],.],.],.]]
[4,5,6,10,11,12,1,2,3,7,8,9]=>[9,8,7,12,11,10,3,2,1,6,5,4]=>[4,5,6,1,2,3,10,11,12,7,8,9]=>[[.,[.,[.,.]]],[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]]
[6,7,8,9,10,12,1,2,3,4,5,11]=>[11,10,9,8,7,12,5,4,3,2,1,6]=>[2,3,4,5,6,1,8,9,10,11,12,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,[.,[.,[.,[.,.]]]]],.]]
[4,5,7,6,2,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,5,7,2,6,4,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[2,5,7,3,6,4,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[1,5,7,3,6,8,4,2]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,2,7,3,6,4,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[3,1,4,7,6,8,5,2]=>[8,2,3,7,5,6,4,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[4,1,3,7,6,8,5,2]=>[8,2,3,7,5,6,4,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[5,1,7,3,6,8,4,2]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[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]=>[4,1,2,3,8,5,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[8,1,4,7,2,6,5,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,3,2,7,6,5,4]=>[8,2,4,3,7,6,5,1]=>[1,7,5,6,2,3,4,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[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]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[1,4,2,7,8,6,5,3]=>[1,8,3,7,6,5,4,2]=>[8,1,6,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[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]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[2,5,7,1,8,6,4,3]=>[4,8,7,1,6,5,3,2]=>[5,1,2,8,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[3,5,7,1,6,8,4,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[4,1,2,3,8,5,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[1,5,7,8,2,6,4,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,4,8,7,2,6,5,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[4,2,8,7,1,6,5,3]=>[8,5,7,6,2,4,3,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[3,2,8,1,7,6,5,4]=>[4,2,8,1,7,6,5,3]=>[5,7,1,8,2,3,4,6]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[1,3,8,2,7,6,5,4]=>[1,4,8,2,7,6,5,3]=>[8,5,1,7,2,3,4,6]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[8,3,1,2,7,6,5,4]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[1,2,8,3,7,6,5,4]=>[1,2,8,4,7,6,5,3]=>[8,7,1,5,2,3,4,6]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[4,1,8,7,2,6,5,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,1,7,8,2,6,4,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,7,1,8,2,5,4,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,8,1,3,7,6,5,4]=>[3,8,1,4,7,6,5,2]=>[6,1,8,5,2,3,4,7]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[1,8,2,3,7,6,5,4]=>[1,8,3,4,7,6,5,2]=>[8,1,6,5,2,3,4,7]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,7,1,5,8,2,6,4]=>[6,8,3,7,5,1,4,2]=>[3,1,6,2,4,8,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[2,7,1,5,8,3,6,4]=>[3,8,1,7,6,5,4,2]=>[6,1,8,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[2,6,5,1,8,3,7,4]=>[4,8,6,1,7,3,5,2]=>[5,1,3,8,2,6,4,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[3,6,5,1,8,2,7,4]=>[6,8,4,3,7,1,5,2]=>[3,1,5,6,2,8,4,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[3,1,5,6,2,8,4,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[2,5,6,1,8,3,7,4]=>[4,8,6,1,7,3,5,2]=>[5,1,3,8,2,6,4,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[2,4,6,1,3,8,7,5]=>[4,5,8,1,2,7,6,3]=>[5,4,1,8,7,2,3,6]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]
[3,4,6,1,2,8,7,5]=>[5,4,8,2,1,7,6,3]=>[4,5,1,7,8,2,3,6]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[4,3,6,1,2,8,7,5]=>[5,4,8,2,1,7,6,3]=>[4,5,1,7,8,2,3,6]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[5,3,6,1,8,2,7,4]=>[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[8,1,3,5,7,2,6,4]=>[8,2,6,7,5,3,4,1]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[8,1,2,5,7,3,6,4]=>[8,2,3,7,6,5,4,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[7,2,1,5,8,3,6,4]=>[8,3,2,7,6,5,4,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[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]=>[4,5,1,7,8,2,3,6]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[4,2,5,3,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[6,2,4,1,3,8,7,5]=>[8,4,5,2,3,7,6,1]=>[1,5,4,7,6,2,3,8]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[7,2,1,4,3,8,6,5]=>[8,3,2,5,4,7,6,1]=>[1,6,7,4,5,2,3,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[7,3,1,4,2,8,6,5]=>[8,5,3,4,2,7,6,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[6,3,4,1,2,8,7,5]=>[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[4,6,3,1,2,8,7,5]=>[5,8,4,3,1,7,6,2]=>[4,1,5,6,8,2,3,7]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[3,6,4,1,2,8,7,5]=>[5,8,4,3,1,7,6,2]=>[4,1,5,6,8,2,3,7]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[2,6,4,1,3,8,7,5]=>[4,8,5,1,3,7,6,2]=>[5,1,4,8,6,2,3,7]=>[[.,.],[[.,[[.,.],.]],[.,[.,.]]]]
[2,7,1,4,3,8,6,5]=>[3,8,1,5,4,7,6,2]=>[6,1,8,4,5,2,3,7]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[3,7,1,4,2,8,6,5]=>[5,8,3,4,1,7,6,2]=>[4,1,6,5,8,2,3,7]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[4,7,1,3,2,8,6,5]=>[5,8,3,4,1,7,6,2]=>[4,1,6,5,8,2,3,7]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[8,1,6,7,2,3,5,4]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,7,1,2,3,8,6,5]=>[5,8,3,4,1,7,6,2]=>[4,1,6,5,8,2,3,7]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[5,6,2,1,8,3,7,4]=>[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[6,5,2,1,8,3,7,4]=>[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[8,1,5,2,7,3,6,4]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,4,1,2,3,8,6,5]=>[8,5,3,4,2,7,6,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[6,4,2,1,3,8,7,5]=>[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[5,4,2,3,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[3,5,2,4,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[6,3,2,1,4,8,7,5]=>[8,4,3,2,5,7,6,1]=>[1,5,6,7,4,2,3,8]=>[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]
[7,3,1,2,4,8,6,5]=>[8,4,3,2,5,7,6,1]=>[1,5,6,7,4,2,3,8]=>[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]
[8,1,2,3,4,7,6,5]=>[8,2,3,4,5,7,6,1]=>[1,7,6,5,4,2,3,8]=>[.,[[[[[.,.],.],.],.],[.,[.,.]]]]
[6,2,3,1,4,8,7,5]=>[8,4,3,2,5,7,6,1]=>[1,5,6,7,4,2,3,8]=>[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]
[2,4,3,6,1,5,8,7]=>[5,3,2,6,1,4,8,7]=>[4,6,7,3,8,5,1,2]=>[[[.,[.,[.,.]]],[[.,.],.]],[.,.]]
[2,4,3,6,5,8,1,7]=>[7,3,2,5,4,8,1,6]=>[2,6,7,4,5,1,8,3]=>[[.,[[.,[.,.]],[.,.]]],[[.,.],.]]
[2,4,6,3,5,8,7,1]=>[8,4,5,2,3,7,6,1]=>[1,5,4,7,6,2,3,8]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[2,4,6,3,5,8,1,7]=>[7,4,5,2,3,8,1,6]=>[2,5,4,7,6,1,8,3]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]
[2,4,6,3,5,1,8,7]=>[6,4,5,2,3,1,8,7]=>[3,5,4,7,6,8,1,2]=>[[.,[[.,.],[[.,.],[.,.]]]],[.,.]]
[2,4,6,3,1,5,8,7]=>[5,4,6,2,1,3,8,7]=>[4,5,3,7,8,6,1,2]=>[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]
[2,4,1,6,5,3,8,7]=>[3,6,1,5,4,2,8,7]=>[6,3,8,4,5,7,1,2]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]
[2,4,6,1,5,3,8,7]=>[4,6,5,1,3,2,8,7]=>[5,3,4,8,6,7,1,2]=>[[[.,.],[.,[[.,.],[.,.]]]],[.,.]]
[4,2,6,5,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[4,2,6,5,1,3,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[4,2,6,5,1,8,7,3]=>[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[4,2,6,5,8,1,7,3]=>[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[4,2,6,5,8,1,3,7]=>[7,6,4,3,8,2,1,5]=>[2,3,5,6,1,7,8,4]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[4,2,6,5,8,3,1,7]=>[7,6,4,3,8,2,1,5]=>[2,3,5,6,1,7,8,4]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[2,4,6,1,5,8,3,7]=>[4,7,5,1,3,8,2,6]=>[5,2,4,8,6,1,7,3]=>[[[.,.],[.,[[.,.],.]]],[[.,.],.]]
[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]=>[7,8,2,4,5,1,6,3]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]
[2,4,1,6,5,8,7,3]=>[3,8,1,5,4,7,6,2]=>[6,1,8,4,5,2,3,7]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[2,4,6,1,5,8,7,3]=>[4,8,5,1,3,7,6,2]=>[5,1,4,8,6,2,3,7]=>[[.,.],[[.,[[.,.],.]],[.,[.,.]]]]
[4,2,6,5,3,8,7,1]=>[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[4,2,6,5,8,3,7,1]=>[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[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]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[2,4,6,8,1,5,7,3]=>[5,8,6,7,1,3,4,2]=>[4,1,3,2,8,6,5,7]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]
[2,4,6,1,8,5,7,3]=>[4,8,6,1,7,3,5,2]=>[5,1,3,8,2,6,4,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[2,4,1,6,8,5,7,3]=>[3,8,1,6,7,4,5,2]=>[6,1,8,3,2,5,4,7]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[2,1,4,6,8,5,7,3]=>[2,1,8,6,7,4,5,3]=>[7,8,1,3,2,5,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[2,1,4,6,8,5,3,7]=>[2,1,7,6,8,4,3,5]=>[7,8,2,3,1,5,6,4]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]
[2,4,1,6,8,5,3,7]=>[3,7,1,6,8,4,2,5]=>[6,2,8,3,1,5,7,4]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]]
[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]=>[2,3,4,1,6,7,8,5]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[4,2,6,8,5,1,3,7]=>[7,6,5,8,3,2,1,4]=>[2,3,4,1,6,7,8,5]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[4,2,6,8,5,1,7,3]=>[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[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]=>[2,4,3,1,7,6,8,5]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]
[2,4,6,8,3,1,5,7]=>[6,5,7,8,2,1,3,4]=>[3,4,2,1,7,8,6,5]=>[[[.,[.,.]],.],[[[.,[.,.]],.],.]]
[2,4,6,3,1,8,5,7]=>[5,4,7,2,1,8,3,6]=>[4,5,2,7,8,1,6,3]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]
[2,4,6,3,8,1,5,7]=>[6,4,7,2,8,1,3,5]=>[3,5,2,7,1,8,6,4]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]
[2,4,6,3,8,5,1,7]=>[7,4,6,2,8,3,1,5]=>[2,5,3,7,1,6,8,4]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]
[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]=>[1,6,7,3,2,5,4,8]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]
[2,4,3,6,8,5,1,7]=>[7,3,2,6,8,4,1,5]=>[2,6,7,3,1,5,8,4]=>[[.,[[.,[.,.]],.]],[[.,[.,.]],.]]
[2,4,3,6,8,1,5,7]=>[6,3,2,7,8,1,4,5]=>[3,6,7,2,1,8,5,4]=>[[[.,[.,[.,.]]],.],[[[.,.],.],.]]
[2,4,3,6,1,8,5,7]=>[5,3,2,7,1,8,4,6]=>[4,6,7,2,8,1,5,3]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]
[2,4,3,1,6,8,5,7]=>[4,3,2,1,7,8,5,6]=>[5,6,7,8,2,1,4,3]=>[[[.,[.,[.,[.,.]]]],.],[[.,.],.]]
[2,4,1,3,6,8,7,5]=>[3,4,1,2,8,7,6,5]=>[6,5,8,7,1,2,3,4]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]
[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]=>[3,6,7,1,2,8,4,5]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]
[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]=>[4,5,1,7,8,2,3,6]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[2,4,1,6,3,8,7,5]=>[3,5,1,8,2,7,6,4]=>[6,4,8,1,7,2,3,5]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[2,1,4,6,3,8,7,5]=>[2,1,5,8,3,7,6,4]=>[7,8,4,1,6,2,3,5]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]
[2,1,4,6,8,3,7,5]=>[2,1,6,8,7,3,5,4]=>[7,8,3,1,2,6,4,5]=>[[[.,[.,.]],.],[.,[[.,.],[.,.]]]]
[2,4,1,6,8,3,7,5]=>[3,6,1,8,7,2,5,4]=>[6,3,8,1,2,7,4,5]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]
[2,4,6,1,8,3,7,5]=>[4,6,8,1,7,2,5,3]=>[5,3,1,8,2,7,4,6]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[2,4,6,8,1,3,7,5]=>[5,6,8,7,1,2,4,3]=>[4,3,1,2,8,7,5,6]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]
[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]=>[4,1,2,3,8,5,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[2,6,4,1,8,7,5,3]=>[4,8,7,1,6,5,3,2]=>[5,1,2,8,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[2,6,1,4,8,7,5,3]=>[3,8,1,7,6,5,4,2]=>[6,1,8,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[2,1,6,4,8,7,5,3]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,6,4,8,7,3,5]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,6,1,4,8,7,3,5]=>[3,8,1,7,6,5,4,2]=>[6,1,8,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[2,6,4,1,8,7,3,5]=>[4,8,7,1,6,5,3,2]=>[5,1,2,8,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[2,6,4,8,1,7,3,5]=>[5,8,7,6,1,4,3,2]=>[4,1,2,3,8,5,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[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]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,3,7,4,5,8,2,6]=>[1,7,8,4,5,6,2,3]=>[8,2,1,5,4,3,7,6]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]
[5,2,4,7,3,6,8,1]=>[8,5,3,6,2,4,7,1]=>[1,4,6,3,7,5,2,8]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[1,7,6,3,4,8,2,5]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[8,1,6,3,7,2,4,5]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,1,6,3,8,2,4,5]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,2,7,4,8,3,5,6]=>[1,2,8,6,7,4,5,3]=>[8,7,1,3,2,5,4,6]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[6,1,7,3,4,8,2,5]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[5,1,4,7,3,8,2,6]=>[7,2,5,8,3,6,1,4]=>[2,7,4,1,6,3,8,5]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[6,8,1,3,7,2,4,5]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,1,2,4,8,3,6,7]=>[6,2,3,4,8,1,7,5]=>[3,7,6,5,1,8,2,4]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]
[4,3,6,1,5,8,2,7]=>[7,4,5,2,3,8,1,6]=>[2,5,4,7,6,1,8,3]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]
[2,6,1,4,5,8,3,7]=>[3,7,1,5,4,8,2,6]=>[6,2,8,4,5,1,7,3]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]
[1,6,2,4,8,3,5,7]=>[1,7,3,6,8,4,2,5]=>[8,2,6,3,1,5,7,4]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]]
[8,5,1,3,7,2,4,6]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,5,3,2,8,4,6,7]=>[1,6,4,3,8,2,7,5]=>[8,3,5,6,1,7,2,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[6,4,2,1,5,8,3,7]=>[7,5,4,3,2,8,1,6]=>[2,4,5,6,7,1,8,3]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[2,5,3,4,1,8,6,7]=>[5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[4,3,5,2,1,8,6,7]=>[5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[2,6,4,8,7,1,3,5]=>[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[1,6,4,8,7,2,3,5]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,3,2,8,7,1,5,6]=>[6,3,2,8,7,1,5,4]=>[3,6,7,1,2,8,4,5]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]
[5,2,4,8,7,1,3,6]=>[7,6,3,8,5,2,1,4]=>[2,3,6,1,4,7,8,5]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[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]=>[2,7,3,1,4,6,8,5]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]
[4,8,2,5,1,3,7,6]=>[6,8,5,4,3,1,7,2]=>[3,1,4,5,6,8,2,7]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[4,7,2,5,1,3,8,6]=>[6,8,5,4,3,1,7,2]=>[3,1,4,5,6,8,2,7]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[3,7,2,1,5,4,8,6]=>[4,8,3,1,6,5,7,2]=>[5,1,6,8,3,4,2,7]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]
[3,8,2,1,5,4,7,6]=>[4,8,3,1,6,5,7,2]=>[5,1,6,8,3,4,2,7]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]
[8,3,2,1,5,4,6,7]=>[8,4,3,2,6,5,7,1]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,3,2,1,5,6,4,7]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[8,3,2,1,4,6,5,7]=>[8,4,3,2,5,7,6,1]=>[1,5,6,7,4,2,3,8]=>[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]
[3,8,2,1,4,5,7,6]=>[4,8,3,1,5,6,7,2]=>[5,1,6,8,4,3,2,7]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]
[3,7,2,1,4,5,8,6]=>[4,8,3,1,5,6,7,2]=>[5,1,6,8,4,3,2,7]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]
[3,2,7,1,4,6,8,5]=>[4,2,8,1,5,6,7,3]=>[5,7,1,8,4,3,2,6]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]
[4,8,2,5,1,7,3,6]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[4,7,2,5,1,8,3,6]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[3,2,1,7,5,8,6,4]=>[3,2,1,8,7,6,5,4]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[3,2,7,1,6,8,4,5]=>[4,2,8,1,7,6,5,3]=>[5,7,1,8,2,3,4,6]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[4,2,7,6,1,8,3,5]=>[7,5,8,4,2,6,1,3]=>[2,4,1,5,7,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[4,3,8,6,7,1,2,5]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[4,2,8,6,1,7,3,5]=>[7,5,8,6,2,4,1,3]=>[2,4,1,3,7,5,8,6]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[3,2,8,1,6,7,4,5]=>[4,2,8,1,7,6,5,3]=>[5,7,1,8,2,3,4,6]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[3,2,1,8,7,5,6,4]=>[3,2,1,8,7,6,5,4]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[3,2,8,1,7,4,6,5]=>[4,2,8,1,7,6,5,3]=>[5,7,1,8,2,3,4,6]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[3,2,8,1,6,4,7,5]=>[4,2,8,1,7,6,5,3]=>[5,7,1,8,2,3,4,6]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[4,2,7,6,1,3,8,5]=>[6,5,8,4,2,1,7,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[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]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[3,2,6,1,8,4,7,5]=>[4,2,8,1,7,6,5,3]=>[5,7,1,8,2,3,4,6]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[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]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[3,2,7,1,8,6,4,5]=>[4,2,8,1,7,6,5,3]=>[5,7,1,8,2,3,4,6]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[3,2,1,6,8,5,7,4]=>[3,2,1,8,7,6,5,4]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[3,2,6,1,8,7,4,5]=>[4,2,8,1,7,6,5,3]=>[5,7,1,8,2,3,4,6]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[4,2,6,8,1,7,3,5]=>[7,5,8,6,2,4,1,3]=>[2,4,1,3,7,5,8,6]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[4,3,6,8,7,1,2,5]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[4,2,6,7,1,8,3,5]=>[7,5,8,4,2,6,1,3]=>[2,4,1,5,7,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[3,2,6,1,7,8,4,5]=>[4,2,8,1,7,6,5,3]=>[5,7,1,8,2,3,4,6]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[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]=>[8,1,2,5,4,3,6,7]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[1,2,7,5,4,8,6,3]=>[1,2,8,7,5,6,4,3]=>[8,7,1,2,4,3,5,6]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[6,3,7,5,4,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[1,6,2,5,4,8,7,3]=>[1,8,3,5,4,7,6,2]=>[8,1,6,4,5,2,3,7]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[7,1,2,5,8,3,6,4]=>[8,2,3,7,6,5,4,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[1,8,2,5,7,3,6,4]=>[1,8,3,7,6,5,4,2]=>[8,1,6,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[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]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[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]=>[3,1,6,4,5,8,2,7]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[7,5,1,6,4,3,2,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[5,8,1,6,4,3,2,7]=>[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[1,5,8,6,4,3,2,7]=>[1,7,8,6,5,4,2,3]=>[8,2,1,3,4,5,7,6]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[3,4,6,1,5,8,2,7]=>[7,4,5,2,3,8,1,6]=>[2,5,4,7,6,1,8,3]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]
[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]=>[6,1,8,3,4,5,2,7]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[1,6,8,7,4,3,2,5]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,8,1,7,4,3,2,5]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,6,1,7,4,3,2,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[6,1,7,8,4,3,2,5]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,1,8,6,4,3,2,5]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,8,7,6,4,3,2,5]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,1,7,5,6,3,8,4]=>[2,1,8,6,5,4,7,3]=>[7,8,1,3,4,5,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[3,1,6,7,5,8,2,4]=>[7,2,8,5,4,6,1,3]=>[2,7,1,4,5,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[7,8,1,6,5,3,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[6,1,8,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,2,8,5,6,3,7,4]=>[1,2,8,7,6,5,4,3]=>[8,7,1,2,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[6,1,2,5,7,3,8,4]=>[8,2,3,6,5,4,7,1]=>[1,7,6,3,4,5,2,8]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[4,3,6,1,5,7,2,8]=>[7,4,5,2,3,6,1,8]=>[2,5,4,7,6,3,8,1]=>[[.,[[[.,.],[[.,.],.]],[.,.]]],.]
[5,1,6,3,7,8,2,4]=>[8,2,7,4,5,6,3,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[1,3,6,8,5,7,2,4]=>[1,7,8,6,5,4,2,3]=>[8,2,1,3,4,5,7,6]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[2,4,6,3,7,1,8,5]=>[6,4,8,2,5,1,7,3]=>[3,5,1,7,4,8,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[4,1,6,7,3,8,2,5]=>[7,2,8,5,4,6,1,3]=>[2,7,1,4,5,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[5,4,6,1,3,7,2,8]=>[7,5,4,3,2,6,1,8]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[6,4,1,5,2,3,7,8]=>[6,5,3,4,2,1,7,8]=>[3,4,6,5,7,8,2,1]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[1,2,4,5,8,3,7,6]=>[1,2,6,4,8,3,7,5]=>[8,7,3,5,1,6,2,4]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]
[2,8,3,5,4,1,7,6]=>[6,8,3,5,4,1,7,2]=>[3,1,6,4,5,8,2,7]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,1,6,4,7,8,2,5]=>[7,2,8,4,5,6,1,3]=>[2,7,1,5,4,3,8,6]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[1,8,5,7,4,3,2,6]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,1,5,8,4,3,2,6]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,1,8,7,4,3,2,6]=>[7,2,8,6,5,4,1,3]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[6,5,1,8,4,3,2,7]=>[7,6,3,8,5,2,1,4]=>[2,3,6,1,4,7,8,5]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[6,5,7,1,4,3,2,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,5,8,1,4,3,2,6]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,5,7,8,4,3,2,6]=>[1,7,8,6,5,4,2,3]=>[8,2,1,3,4,5,7,6]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[2,4,7,5,1,3,8,6]=>[5,6,8,4,1,2,7,3]=>[4,3,1,5,8,7,2,6]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]
[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]=>[2,4,5,6,7,1,8,3]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[2,6,4,5,1,3,8,7]=>[5,6,4,3,1,2,8,7]=>[4,3,5,6,8,7,1,2]=>[[[.,.],[.,[.,[[.,.],.]]]],[.,.]]
[7,6,5,1,4,3,2,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,2,3,4,5,6,9,7,8]=>[1,2,3,4,5,6,9,8,7]=>[9,8,7,6,5,4,1,2,3]=>[[[[[[[.,.],.],.],.],.],.],[.,[.,.]]]
[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]=>[3,5,2,7,4,8,6,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[3,6,2,5,4,1,7,8]=>[6,5,3,4,2,1,7,8]=>[3,4,6,5,7,8,2,1]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[4,3,6,2,8,1,5,7]=>[6,4,7,2,8,1,3,5]=>[3,5,2,7,1,8,6,4]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]
[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]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[4,2,8,5,1,3,7,6]=>[6,5,8,4,2,1,7,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[4,3,6,8,1,7,2,5]=>[7,5,8,6,2,4,1,3]=>[2,4,1,3,7,5,8,6]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[5,3,6,4,1,7,2,8]=>[7,5,4,3,2,6,1,8]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[6,2,1,5,8,3,7,4]=>[8,3,2,6,7,4,5,1]=>[1,6,7,3,2,5,4,8]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]
[1,6,7,4,8,3,5,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,4,6,3,7,5,8,2]=>[1,8,6,4,5,3,7,2]=>[8,1,3,5,4,6,2,7]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[4,6,7,2,5,8,1,3]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,4,6,1,7,5,3,8]=>[4,7,6,1,5,3,2,8]=>[5,2,3,8,4,6,7,1]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[7,5,4,6,2,8,1,3]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[1,7,5,4,3,8,6,2]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,4,6,3,5,8,7,2]=>[1,8,5,4,3,7,6,2]=>[8,1,4,5,6,2,3,7]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[1,5,8,4,3,6,7,2]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[2,5,4,1,6,7,3,8]=>[4,7,3,1,5,6,2,8]=>[5,2,6,8,4,3,7,1]=>[[[.,.],[[[.,[.,.]],.],[.,.]]],.]
[5,6,3,2,7,1,4,8]=>[7,6,4,3,5,2,1,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[5,6,3,2,7,1,8,4]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[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]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[2,4,1,7,8,5,3,6]=>[3,7,1,8,6,5,2,4]=>[6,2,8,1,3,4,7,5]=>[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]
[2,5,4,1,6,3,8,7]=>[4,6,3,1,5,2,8,7]=>[5,3,6,8,4,7,1,2]=>[[[.,.],[[.,[.,.]],[.,.]]],[.,.]]
[5,6,3,2,1,8,4,7]=>[7,5,4,3,2,8,1,6]=>[2,4,5,6,7,1,8,3]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[3,5,2,1,6,4,7,8]=>[4,6,3,1,5,2,7,8]=>[5,3,6,8,4,7,2,1]=>[[[[.,.],[[.,[.,.]],[.,.]]],.],.]
[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]=>[2,4,1,5,7,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[3,7,5,8,2,1,4,6]=>[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,8,4,3,2,1,6,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,7,3,2,1,6,4,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,3,7,2,5,1,8,4]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[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]=>[5,7,2,8,3,4,6,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[2,5,8,4,1,3,7,6]=>[5,6,8,4,1,2,7,3]=>[4,3,1,5,8,7,2,6]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]
[2,4,1,7,8,3,6,5]=>[3,6,1,8,7,2,5,4]=>[6,3,8,1,2,7,4,5]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]
[3,7,2,8,6,1,4,5]=>[6,8,3,7,5,1,4,2]=>[3,1,6,2,4,8,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[3,6,8,2,1,7,4,5]=>[5,8,7,4,1,6,3,2]=>[4,1,2,5,8,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[5,3,8,2,1,4,7,6]=>[6,5,8,4,2,1,7,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[4,8,7,3,2,1,5,6]=>[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[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]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[7,8,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[2,3,4,5,6,7,8,9,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[1,8,9,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[9,1,2,3,4,5,6,7,8]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,9,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[7,6,8,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[2,3,4,5,6,7,8,9,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[6,8,7,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[2,3,4,5,6,7,8,9,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[1,8,7,9,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[9,1,2,3,4,5,6,7,8]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,7,9,8,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[9,1,2,3,4,5,6,7,8]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,9,10,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[10,1,2,3,4,5,6,7,8,9]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,7,6,5,1,8,3,4]=>[5,8,7,4,1,6,3,2]=>[4,1,2,5,8,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[2,7,6,5,1,8,4,3]=>[5,8,7,4,1,6,3,2]=>[4,1,2,5,8,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[2,3,6,1,5,4,8,7]=>[4,2,6,1,5,3,8,7]=>[5,7,3,8,4,6,1,2]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]
[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]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,7,6,4,1,8,5,3]=>[5,8,7,4,1,6,3,2]=>[4,1,2,5,8,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[5,7,3,6,2,8,4,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,7,6,4,1,8,3,5]=>[5,8,7,4,1,6,3,2]=>[4,1,2,5,8,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[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]=>[2,3,5,6,1,7,8,4]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[2,3,4,8,7,6,1,5]=>[7,2,3,8,6,5,1,4]=>[2,7,6,1,3,4,8,5]=>[[.,[[.,.],.]],[.,[.,[[.,.],.]]]]
[2,3,4,8,5,7,1,6]=>[7,2,3,8,5,6,1,4]=>[2,7,6,1,4,3,8,5]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[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]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[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]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[2,3,4,8,7,5,1,6]=>[7,2,3,8,6,5,1,4]=>[2,7,6,1,3,4,8,5]=>[[.,[[.,.],.]],[.,[.,[[.,.],.]]]]
[2,7,6,5,4,8,1,3]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[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]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,4,1,5,8,3,7,2]=>[8,6,3,4,7,2,5,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[6,4,1,5,8,3,2,7]=>[7,6,3,4,8,2,1,5]=>[2,3,6,5,1,7,8,4]=>[[.,[.,[[.,.],.]]],[[.,[.,.]],.]]
[7,4,1,5,8,2,3,6]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,4,1,5,8,2,6,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,7,3,6,1,8,4,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[2,7,6,1,4,3,8,5]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[2,3,4,8,7,1,6,5]=>[6,2,3,8,7,1,5,4]=>[3,7,6,1,2,8,4,5]=>[[.,[[.,.],.]],[.,[[.,.],[.,.]]]]
[2,3,4,8,1,7,6,5]=>[5,2,3,8,1,7,6,4]=>[4,7,6,1,8,2,3,5]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]
[2,3,4,8,1,6,7,5]=>[5,2,3,8,1,7,6,4]=>[4,7,6,1,8,2,3,5]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]
[2,3,4,8,5,1,7,6]=>[6,2,3,8,5,1,7,4]=>[3,7,6,1,4,8,2,5]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]
[6,3,5,4,8,2,7,1]=>[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[7,4,3,5,8,2,1,6]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[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]=>[2,3,5,6,1,7,8,4]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[2,3,4,8,5,1,6,7]=>[6,2,3,8,5,1,7,4]=>[3,7,6,1,4,8,2,5]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]
[2,3,4,8,1,6,5,7]=>[5,2,3,8,1,7,6,4]=>[4,7,6,1,8,2,3,5]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,8,6,7,2,5,3,4]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,5,7,2,6,3,4]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,8,1,7,2,6,3,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[4,1,2,3,8,5,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[2,8,5,7,1,6,3,4]=>[5,8,7,6,1,4,3,2]=>[4,1,2,3,8,5,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[2,8,1,7,5,6,3,4]=>[3,8,1,7,6,5,4,2]=>[6,1,8,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,8,2,7,5,6,3,4]=>[1,8,3,7,6,5,4,2]=>[8,1,6,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,8,2,7,4,6,3,5]=>[1,8,3,7,6,5,4,2]=>[8,1,6,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[2,8,1,7,4,6,3,5]=>[3,8,1,7,6,5,4,2]=>[6,1,8,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[2,8,4,7,1,6,3,5]=>[5,8,7,6,1,4,3,2]=>[4,1,2,3,8,5,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[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]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[1,8,4,7,2,6,3,5]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,8,1,7,5,6,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,8,4,7,5,6,2,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,3,7,5,6,2,4]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,8,1,7,5,6,2,4]=>[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[3,8,1,7,4,6,2,5]=>[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[1,8,3,7,4,6,2,5]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,3,7,2,6,4,5]=>[1,8,5,7,3,6,4,2]=>[8,1,4,2,6,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[3,8,1,7,2,6,4,5]=>[5,8,3,7,1,6,4,2]=>[4,1,6,2,8,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[3,8,2,7,1,6,4,5]=>[5,8,3,7,1,6,4,2]=>[4,1,6,2,8,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[3,8,2,7,4,6,1,5]=>[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[3,8,2,7,5,6,1,4]=>[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[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]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[2,8,3,7,4,6,1,5]=>[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[2,8,3,7,1,6,4,5]=>[5,8,3,7,1,6,4,2]=>[4,1,6,2,8,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[2,8,1,7,3,6,4,5]=>[3,8,1,7,5,6,4,2]=>[6,1,8,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,8,1,7,4,2,5,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,6,7,4,2,8,5,3]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,6,7,3,8,5,2,4]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,1,8,3,5,6,2,4]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,2,8,4,1,5,3,6]=>[8,5,7,6,2,4,3,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,2,3,8,5,7,4,1]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,2,4,8,5,3,1,7]=>[7,6,5,8,3,2,1,4]=>[2,3,4,1,6,7,8,5]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[6,3,1,4,8,5,2,7]=>[7,6,3,4,8,2,1,5]=>[2,3,6,5,1,7,8,4]=>[[.,[.,[[.,.],.]]],[[.,[.,.]],.]]
[2,6,3,7,8,5,4,1]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,6,3,7,8,4,5,1]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,4,7,3,5,6,8,1]=>[8,4,6,2,5,3,7,1]=>[1,5,3,7,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[2,4,7,3,6,8,5,1]=>[8,4,7,2,5,6,3,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[2,5,3,7,8,1,6,4]=>[6,8,3,7,5,1,4,2]=>[3,1,6,2,4,8,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[5,3,1,4,8,2,6,7]=>[6,4,3,2,8,1,7,5]=>[3,5,6,7,1,8,2,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[5,2,4,8,6,1,3,7]=>[7,6,3,8,5,2,1,4]=>[2,3,6,1,4,7,8,5]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[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]=>[3,1,5,6,2,8,4,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[4,8,2,3,5,7,1,6]=>[7,8,4,3,5,6,1,2]=>[2,1,5,6,4,3,8,7]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]
[1,4,7,8,3,6,2,5]=>[1,7,8,6,5,4,2,3]=>[8,2,1,3,4,5,7,6]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[4,8,1,3,6,7,2,5]=>[7,8,3,4,6,5,1,2]=>[2,1,6,5,3,4,8,7]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]
[5,3,8,2,4,7,1,6]=>[7,5,8,4,2,6,1,3]=>[2,4,1,5,7,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[5,4,3,8,1,2,7,6]=>[6,5,3,8,2,1,7,4]=>[3,4,6,1,7,8,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[6,4,2,8,1,3,7,5]=>[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,5,3,1,4,2,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[5,3,1,6,4,2,7,8]=>[6,5,3,4,2,1,7,8]=>[3,4,6,5,7,8,2,1]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[5,2,6,4,1,7,3,8]=>[7,5,4,3,2,6,1,8]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[4,5,1,7,2,6,3,8]=>[7,5,3,6,2,4,1,8]=>[2,4,6,3,7,5,8,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[3,5,6,1,2,8,7,4]=>[5,8,4,3,1,7,6,2]=>[4,1,5,6,8,2,3,7]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[3,6,2,7,5,1,8,4]=>[6,8,3,5,4,1,7,2]=>[3,1,6,4,5,8,2,7]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[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]=>[2,5,1,7,3,4,8,6]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[3,4,5,8,2,7,1,6]=>[7,5,3,8,2,6,1,4]=>[2,4,6,1,7,3,8,5]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[3,4,6,2,8,1,5,7]=>[6,4,7,2,8,1,3,5]=>[3,5,2,7,1,8,6,4]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]
[3,5,2,6,8,1,7,4]=>[6,8,3,4,7,1,5,2]=>[3,1,6,5,2,8,4,7]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[4,3,1,2,5,6,8,7]=>[4,3,2,1,5,6,8,7]=>[5,6,7,8,4,3,1,2]=>[[[[.,[.,[.,[.,.]]]],.],.],[.,.]]
[5,3,6,8,4,7,2,1]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[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]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[3,1,6,5,4,8,2,7]=>[7,2,5,4,3,8,1,6]=>[2,7,4,5,6,1,8,3]=>[[.,[[.,.],[.,[.,.]]]],[[.,.],.]]
[5,1,6,8,4,3,2,7]=>[7,2,6,8,5,3,1,4]=>[2,7,3,1,4,6,8,5]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]
[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]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[2,7,1,5,4,3,8,6]=>[3,8,1,6,5,4,7,2]=>[6,1,8,3,4,5,2,7]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[8,4,1,5,7,3,2,6]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[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]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[8,1,2,3,4,5,6,7,9]=>[8,2,3,4,5,6,7,1,9]=>[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]=>[8,1,6,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[3,6,2,4,8,1,5,7]=>[6,7,3,4,8,1,2,5]=>[3,2,6,5,1,8,7,4]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]
[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]=>[8,1,2,5,4,3,6,7]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,6,5,4,2,8,7,3]=>[1,8,5,4,3,7,6,2]=>[8,1,4,5,6,2,3,7]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[1,8,5,2,7,3,6,4]=>[1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[7,8,1,4,2,6,5,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,3,6,4,8,2,5,7]=>[1,6,7,4,8,2,3,5]=>[8,3,2,5,1,7,6,4]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]
[4,8,5,3,1,7,2,6]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[7,4,5,3,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[3,1,6,5,2,8,4,7]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[1,6,8,7,4,2,3,5]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,1,7,8,2,4,3,5]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,1,8,6,3,4,2,5]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,2,8,3,6,5,7,4]=>[1,2,8,4,7,6,5,3]=>[8,7,1,5,2,3,4,6]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[6,1,3,2,7,5,8,4]=>[8,2,4,3,6,5,7,1]=>[1,7,5,6,3,4,2,8]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[1,6,3,8,5,7,2,4]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[8,1,3,5,4,6,2,7]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[2,6,3,4,8,7,1,5]=>[7,8,3,4,6,5,1,2]=>[2,1,6,5,3,4,8,7]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]
[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]=>[3,7,1,5,2,8,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[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]=>[2,7,1,5,4,3,8,6]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[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]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[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]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[2,4,6,7,3,1,8,5]=>[6,5,8,4,2,1,7,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[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]=>[2,4,5,6,7,1,8,3]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[3,6,5,8,4,2,1,7]=>[7,6,5,8,3,2,1,4]=>[2,3,4,1,6,7,8,5]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[5,6,8,4,2,3,1,7]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[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]=>[1,7,3,5,2,6,4,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,3,8,5,7,6,2,4]=>[1,7,8,6,5,4,2,3]=>[8,2,1,3,4,5,7,6]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[6,3,8,5,7,1,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[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]=>[3,1,6,2,4,8,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[2,8,1,5,6,3,7,4]=>[3,8,1,7,6,5,4,2]=>[6,1,8,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[8,1,2,5,6,3,7,4]=>[8,2,3,7,6,5,4,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[1,8,2,5,7,6,3,4]=>[1,8,3,7,6,5,4,2]=>[8,1,6,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[5,1,8,6,2,7,3,4]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,5,8,6,1,7,3,4]=>[5,8,7,6,1,4,3,2]=>[4,1,2,3,8,5,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[8,6,1,5,7,2,3,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,1,3,7,8,6,2,4]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,2,5,8,1,6,4,3]=>[8,5,7,6,2,4,3,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[3,2,8,5,7,6,1,4]=>[7,2,8,6,5,4,1,3]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[8,2,1,5,7,6,3,4]=>[8,3,2,7,6,5,4,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[5,2,8,6,1,7,3,4]=>[8,5,7,6,2,4,3,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[1,2,8,6,5,7,3,4]=>[1,2,8,7,6,5,4,3]=>[8,7,1,2,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[4,2,1,3,6,7,8,5]=>[4,3,2,1,8,6,7,5]=>[5,6,7,8,1,3,2,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,5,6,2,4,1,8,3]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[5,6,7,8,1,3,2,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[8,1,6,5,7,3,2,4]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,8,5,6,3,7,2,4]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,6,1,4,2,8,3]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[5,7,6,4,1,2,8,3]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,7,6,1,5,2,8,3]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[1,8,3,6,5,7,2,4]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,8,1,6,5,7,2,4]=>[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[8,1,3,5,7,6,2,4]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,8,5,4,1,6,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,5,6,4,2,1,8,3]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,3,2,6,5,7,1,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,4,6,2,5,1,8,3]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,2,6,4,5,1,8,3]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,2,3,6,5,7,1,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,4,7,3,6,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[3,5,2,7,4,8,6,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[1,4,7,2,5,8,3,6]=>[1,7,8,4,5,6,2,3]=>[8,2,1,5,4,3,7,6]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]
[3,6,2,4,7,1,5,8]=>[6,7,3,4,5,1,2,8]=>[3,2,6,5,4,8,7,1]=>[[[.,.],[[[.,.],.],[[.,.],.]]],.]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,2,7,6,5,8,3,4]=>[1,2,8,7,5,6,4,3]=>[8,7,1,2,4,3,5,6]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[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]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[4,3,6,2,5,1,8,7]=>[6,4,5,2,3,1,8,7]=>[3,5,4,7,6,8,1,2]=>[[.,[[.,.],[[.,.],[.,.]]]],[.,.]]
[7,8,3,2,5,1,4,6]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,1,6,2,5,7,3,8]=>[7,2,5,4,3,6,1,8]=>[2,7,4,5,6,3,8,1]=>[[.,[[[.,.],[.,[.,.]]],[.,.]]],.]
[6,1,2,5,8,7,3,4]=>[8,2,3,7,6,5,4,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[2,1,8,6,4,7,3,5]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[7,1,3,6,8,4,2,5]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,8,3,6,7,4,5,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,1,5,8,3,6,2,4]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,1,8,7,2,3,6,4]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[3,7,2,5,4,8,6,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[2,4,7,5,1,8,3,6]=>[5,7,8,4,1,6,2,3]=>[4,2,1,5,8,3,7,6]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]
[6,5,7,1,4,2,3,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[2,8,3,4,5,1,7,6]=>[6,8,3,4,5,1,7,2]=>[3,1,6,5,4,8,2,7]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]
[6,2,4,3,1,5,7,8]=>[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[4,2,8,3,1,7,5,6]=>[5,4,8,2,1,7,6,3]=>[4,5,1,7,8,2,3,6]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[1,3,7,4,8,2,5,6]=>[1,6,8,4,7,2,5,3]=>[8,3,1,5,2,7,4,6]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[2,4,7,3,6,1,8,5]=>[6,4,8,2,5,1,7,3]=>[3,5,1,7,4,8,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[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]=>[5,2,3,8,4,6,7,1]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[1,2,7,8,5,4,3,6]=>[1,2,8,7,6,5,4,3]=>[8,7,1,2,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[6,3,1,2,8,4,5,7]=>[7,4,3,2,8,6,1,5]=>[2,5,6,7,1,3,8,4]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]
[4,2,1,3,6,5,8,7]=>[4,3,2,1,6,5,8,7]=>[5,6,7,8,3,4,1,2]=>[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]
[2,8,1,4,5,6,3,7]=>[3,8,1,7,5,6,4,2]=>[6,1,8,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[4,2,6,1,8,5,3,7]=>[7,4,6,2,8,3,1,5]=>[2,5,3,7,1,6,8,4]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]
[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]=>[1,5,4,7,6,2,3,8]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[5,8,1,6,3,4,7,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,5,1,8,2,7,4,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,8,1,7,5,2,3,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,6,1,8,5,3,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,6,1,5,7,4,2,8]=>[7,6,3,4,5,2,1,8]=>[2,3,6,5,4,7,8,1]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[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]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[6,1,7,8,5,3,4,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,1,8,6,5,4,2,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,6,5,7,3,4,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[1,6,4,7,5,8,2,3]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[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]=>[8,2,1,5,4,3,7,6]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]
[4,7,5,6,3,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[1,7,6,5,4,8,2,3]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[8,1,6,5,7,2,4,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,2,7,6,8,3,4,5]=>[1,2,8,7,6,5,4,3]=>[8,7,1,2,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[6,1,7,5,3,8,2,4]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,8,1,4,7,2,5,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,8,4,1,7,2,6,5]=>[6,8,4,3,7,1,5,2]=>[3,1,5,6,2,8,4,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,7,1,8,4,5,3,6]=>[3,8,1,7,6,5,4,2]=>[6,1,8,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[6,1,2,8,4,3,5,7]=>[7,2,3,8,6,5,1,4]=>[2,7,6,1,3,4,8,5]=>[[.,[[.,.],.]],[.,[.,[[.,.],.]]]]
[1,6,2,5,8,3,4,7]=>[1,7,3,6,8,4,2,5]=>[8,2,6,3,1,5,7,4]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]]
[8,5,1,3,7,2,6,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,4,2,1,7,3,6,5]=>[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[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]=>[8,3,5,6,1,7,2,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[6,4,3,1,5,8,2,7]=>[7,5,4,3,2,8,1,6]=>[2,4,5,6,7,1,8,3]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,4,8,6,7,5,2,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,3,8,7,5,6,2,4]=>[1,7,8,6,5,4,2,3]=>[8,2,1,3,4,5,7,6]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[2,1,8,7,4,6,3,5]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[3,1,8,5,7,6,2,4]=>[7,2,8,6,5,4,1,3]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[6,1,5,8,7,4,2,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,4,1,8,7,6,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[4,6,7,3,8,5,1,2]=>[[[.,[.,[.,.]]],[[.,.],.]],[.,.]]
[6,2,1,4,3,5,8,7]=>[6,3,2,5,4,1,8,7]=>[3,6,7,4,5,8,1,2]=>[[.,[[.,[.,.]],[.,[.,.]]]],[.,.]]
[6,2,1,4,3,8,5,7]=>[7,3,2,5,4,8,1,6]=>[2,6,7,4,5,1,8,3]=>[[.,[[.,[.,.]],[.,.]]],[[.,.],.]]
[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]=>[1,5,4,7,6,2,3,8]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[6,2,4,1,3,8,5,7]=>[7,4,5,2,3,8,1,6]=>[2,5,4,7,6,1,8,3]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]
[6,2,4,1,3,5,8,7]=>[6,4,5,2,3,1,8,7]=>[3,5,4,7,6,8,1,2]=>[[.,[[.,.],[[.,.],[.,.]]]],[.,.]]
[4,2,6,1,3,5,8,7]=>[5,4,6,2,1,3,8,7]=>[4,5,3,7,8,6,1,2]=>[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]
[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]=>[6,3,8,4,5,7,1,2]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]
[2,6,4,1,3,5,8,7]=>[4,6,5,1,3,2,8,7]=>[5,3,4,8,6,7,1,2]=>[[[.,.],[.,[[.,.],[.,.]]]],[.,.]]
[4,6,2,1,3,5,8,7]=>[5,6,4,3,1,2,8,7]=>[4,3,5,6,8,7,1,2]=>[[[.,.],[.,[.,[[.,.],.]]]],[.,.]]
[6,4,2,1,3,5,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[8,4,2,1,3,6,5,7]=>[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[8,4,2,1,6,3,5,7]=>[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[6,4,2,1,8,3,5,7]=>[7,6,4,3,8,2,1,5]=>[2,3,5,6,1,7,8,4]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[4,6,2,1,8,3,5,7]=>[6,7,4,3,8,1,2,5]=>[3,2,5,6,1,8,7,4]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]
[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]=>[7,8,2,4,5,1,6,3]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]
[2,1,8,4,3,6,5,7]=>[2,1,8,5,4,7,6,3]=>[7,8,1,4,5,2,3,6]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[2,8,1,4,3,6,5,7]=>[3,8,1,5,4,7,6,2]=>[6,1,8,4,5,2,3,7]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[2,8,4,1,3,6,5,7]=>[4,8,5,1,3,7,6,2]=>[5,1,4,8,6,2,3,7]=>[[.,.],[[.,[[.,.],.]],[.,[.,.]]]]
[4,8,2,1,3,6,5,7]=>[5,8,4,3,1,7,6,2]=>[4,1,5,6,8,2,3,7]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[4,8,2,1,6,3,5,7]=>[6,8,4,3,7,1,5,2]=>[3,1,5,6,2,8,4,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[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]=>[6,1,8,3,2,5,4,7]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[2,1,8,4,6,3,5,7]=>[2,1,8,6,7,4,5,3]=>[7,8,1,3,2,5,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[2,1,6,4,8,3,5,7]=>[2,1,7,6,8,4,3,5]=>[7,8,2,3,1,5,6,4]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]
[2,6,1,4,8,3,5,7]=>[3,7,1,6,8,4,2,5]=>[6,2,8,3,1,5,7,4]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]]
[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]=>[3,2,4,1,6,8,7,5]=>[[[.,.],[.,.]],[[.,[[.,.],.]],.]]
[4,2,6,1,3,8,5,7]=>[5,4,7,2,1,8,3,6]=>[4,5,2,7,8,1,6,3]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]
[4,2,6,1,8,3,5,7]=>[6,4,7,2,8,1,3,5]=>[3,5,2,7,1,8,6,4]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]
[6,2,4,1,8,3,5,7]=>[7,4,6,2,8,3,1,5]=>[2,5,3,7,1,6,8,4]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]
[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]=>[1,6,7,3,2,5,4,8]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]
[6,2,1,4,8,3,5,7]=>[7,3,2,6,8,4,1,5]=>[2,6,7,3,1,5,8,4]=>[[.,[[.,[.,.]],.]],[[.,[.,.]],.]]
[4,2,1,6,8,3,5,7]=>[6,3,2,7,8,1,4,5]=>[3,6,7,2,1,8,5,4]=>[[[.,[.,[.,.]]],.],[[[.,.],.],.]]
[4,2,1,6,3,8,5,7]=>[5,3,2,7,1,8,4,6]=>[4,6,7,2,8,1,5,3]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]
[4,2,1,3,6,8,5,7]=>[4,3,2,1,7,8,5,6]=>[5,6,7,8,2,1,4,3]=>[[[.,[.,[.,[.,.]]]],.],[[.,.],.]]
[2,1,4,3,8,6,5,7]=>[2,1,4,3,8,7,6,5]=>[7,8,5,6,1,2,3,4]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]
[2,4,1,3,8,6,5,7]=>[3,4,1,2,8,7,6,5]=>[6,5,8,7,1,2,3,4]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]
[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]=>[3,6,7,1,2,8,4,5]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]
[6,2,1,8,4,3,5,7]=>[7,3,2,8,6,5,1,4]=>[2,6,7,1,3,4,8,5]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]
[8,2,1,6,4,3,5,7]=>[8,3,2,7,6,5,4,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[8,2,6,1,4,3,5,7]=>[8,4,7,2,6,5,3,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,2,8,1,4,3,5,7]=>[7,4,8,2,6,5,1,3]=>[2,5,1,7,3,4,8,6]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[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]=>[4,5,1,7,8,2,3,6]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[2,4,8,1,3,6,5,7]=>[4,5,8,1,2,7,6,3]=>[5,4,1,8,7,2,3,6]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]
[2,4,1,8,3,6,5,7]=>[3,5,1,8,2,7,6,4]=>[6,4,8,1,7,2,3,5]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[2,1,4,8,3,6,5,7]=>[2,1,5,8,3,7,6,4]=>[7,8,4,1,6,2,3,5]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]
[2,1,4,8,6,3,5,7]=>[2,1,6,8,7,3,5,4]=>[7,8,3,1,2,6,4,5]=>[[[.,[.,.]],.],[.,[[.,.],[.,.]]]]
[2,4,8,1,6,3,5,7]=>[4,6,8,1,7,2,5,3]=>[5,3,1,8,2,7,4,6]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[2,4,8,6,1,3,5,7]=>[5,6,8,7,1,2,4,3]=>[4,3,1,2,8,7,5,6]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]
[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]=>[2,4,1,3,7,5,8,6]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[8,2,6,4,1,3,5,7]=>[8,5,7,6,2,4,3,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[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]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[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]=>[4,2,1,3,8,5,7,6]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]]
[2,6,8,1,4,3,5,7]=>[4,7,8,1,6,5,2,3]=>[5,2,1,8,3,4,7,6]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]
[2,6,1,8,4,3,5,7]=>[3,7,1,8,6,5,2,4]=>[6,2,8,1,3,4,7,5]=>[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]
[2,1,6,8,4,3,5,7]=>[2,1,7,8,6,5,3,4]=>[7,8,2,1,3,4,6,5]=>[[[.,[.,.]],.],[.,[.,[[.,.],.]]]]
[2,1,8,6,4,3,5,7]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,8,1,6,4,3,5,7]=>[3,8,1,7,6,5,4,2]=>[6,1,8,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[2,8,6,4,1,3,5,7]=>[5,8,7,6,1,4,3,2]=>[4,1,2,3,8,5,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[4,8,6,2,1,3,5,7]=>[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[6,8,4,2,1,3,5,7]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[3,2,6,1,5,4,8,7]=>[4,2,6,1,5,3,8,7]=>[5,7,3,8,4,6,1,2]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]
[5,2,4,3,8,1,7,6]=>[6,4,3,2,8,1,7,5]=>[3,5,6,7,1,8,2,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[6,2,4,1,5,3,8,7]=>[6,4,5,2,3,1,8,7]=>[3,5,4,7,6,8,1,2]=>[[.,[[.,.],[[.,.],[.,.]]]],[.,.]]
[4,3,6,1,5,2,8,7]=>[6,4,5,2,3,1,8,7]=>[3,5,4,7,6,8,1,2]=>[[.,[[.,.],[[.,.],[.,.]]]],[.,.]]
[4,3,5,2,8,1,7,6]=>[6,4,3,2,8,1,7,5]=>[3,5,6,7,1,8,2,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[4,3,7,2,6,5,8,1]=>[8,4,6,2,5,3,7,1]=>[1,5,3,7,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[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]=>[3,5,1,7,4,8,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[5,4,8,1,3,2,7,6]=>[6,5,8,4,2,1,7,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[5,1,7,6,8,3,4,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[4,3,6,5,8,1,7,2]=>[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[6,3,5,4,7,2,8,1]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[6,3,5,4,8,1,7,2]=>[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[7,1,6,3,8,4,5,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[7,8,1,3,2,5,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,6,3,7,2,5,4]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,2,4,1,5,3,7,6]=>[8,4,6,2,5,3,7,1]=>[1,5,3,7,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[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]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[3,2,8,4,6,1,7,5]=>[6,2,8,4,7,1,5,3]=>[3,7,1,5,2,8,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[3,2,7,6,8,1,5,4]=>[6,2,8,7,5,1,4,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[3,2,7,1,8,5,6,4]=>[4,2,8,1,7,6,5,3]=>[5,7,1,8,2,3,4,6]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[3,2,6,5,8,1,7,4]=>[6,2,8,4,7,1,5,3]=>[3,7,1,5,2,8,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[6,5,7,2,4,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[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]=>[1,7,5,6,2,3,4,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[7,1,8,5,6,2,4,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,1,8,2,6,4,5,3]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,2,8,1,5,4,6,3]=>[8,4,7,2,6,5,3,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,2,7,4,5,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,4,7,2,6,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[7,8,1,3,2,5,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[2,1,8,9,10,11,12,7,6,5,4,3]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[11,12,1,2,3,4,5,6,7,8,9,10]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[4,5,6,3,2,1,10,11,12,9,8,7]=>[6,5,4,3,2,1,12,11,10,9,8,7]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,[.,[.,.]]]]]]
[2,8,3,1,5,4,6,7]=>[4,8,3,1,6,5,7,2]=>[5,1,6,8,3,4,2,7]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]
[2,5,3,4,7,1,8,6]=>[6,4,3,2,8,1,7,5]=>[3,5,6,7,1,8,2,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[2,4,8,3,5,7,6,1]=>[8,4,7,2,5,6,3,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[4,2,5,3,1,8,6,7]=>[5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[4,2,1,8,5,3,6,7]=>[6,3,2,8,5,1,7,4]=>[3,6,7,1,4,8,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[5,4,1,3,8,2,6,7]=>[6,4,3,2,8,1,7,5]=>[3,5,6,7,1,8,2,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[1,5,8,4,3,2,6,7]=>[1,6,8,5,4,2,7,3]=>[8,3,1,4,5,7,2,6]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]
[1,7,4,3,8,5,2,6]=>[1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,5,7,3,8,4,2,6]=>[1,7,8,6,5,4,2,3]=>[8,2,1,3,4,5,7,6]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[5,1,4,7,8,3,2,6]=>[7,2,6,8,5,3,1,4]=>[2,7,3,1,4,6,8,5]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]
[4,8,1,5,7,3,6,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,1,5,3,7,4,6,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,8,1,7,4,3,5,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,2,1,7,8,5,3,6]=>[7,3,2,8,6,5,1,4]=>[2,6,7,1,3,4,8,5]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]
[2,7,4,6,3,1,8,5]=>[6,8,5,4,3,1,7,2]=>[3,1,4,5,6,8,2,7]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[2,6,7,3,1,4,8,5]=>[5,8,6,4,1,3,7,2]=>[4,1,3,5,8,6,2,7]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]
[2,7,1,8,3,5,4,6]=>[3,8,1,7,5,6,4,2]=>[6,1,8,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[8,7,1,3,6,2,4,5]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[8,7,1,2,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[8,3,7,1,5,6,2,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,1,6,2,7,4,5,3]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[1,8,5,2,6,7,4,3]=>[1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[5,2,1,8,6,7,4,3]=>[8,3,2,7,6,5,4,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,8,1,6,4,2,5,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,1,7,5,6,4,3,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,8,6,7,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,3,5,2,1,4,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[6,3,5,7,2,8,4,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,5,2,7,4,3,1,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[6,5,3,7,1,8,4,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,1,4,6,8,3,7,2]=>[8,2,6,4,7,3,5,1]=>[1,7,3,5,2,6,4,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[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]=>[3,1,4,2,6,8,5,7]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[3,8,6,4,1,7,2,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[2,8,7,5,4,1,3,6]=>[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[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]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[5,3,7,6,2,1,8,4]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[6,1,7,4,5,8,2,3]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[6,7,3,5,1,8,2,4]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,1,5,7,3,6,8,4]=>[2,1,8,6,5,4,7,3]=>[7,8,1,3,4,5,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[5,7,3,6,1,2,8,4]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,1,7,2,5,6,8,3]=>[8,2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[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]=>[1,5,2,7,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[4,6,1,2,5,8,7,3]=>[8,5,3,4,2,7,6,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[5,6,1,4,8,2,7,3]=>[8,6,3,4,7,2,5,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[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]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[3,8,2,7,1,6,5,4]=>[5,8,3,7,1,6,4,2]=>[4,1,6,2,8,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[3,8,2,7,6,1,5,4]=>[6,8,3,7,5,1,4,2]=>[3,1,6,2,4,8,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[3,8,2,7,6,5,1,4]=>[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[3,8,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[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]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[7,3,5,2,6,1,4,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,3,5,2,6,4,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,3,5,2,7,4,8,1]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[7,3,5,1,6,4,2,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,4,5,6,1,3,2,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,4,5,7,3,2,8,6]=>[1,6,5,8,3,2,7,4]=>[8,3,4,1,6,7,2,5]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[6,4,5,7,3,1,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,4,5,7,1,3,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,3,5,1,7,4,8,2]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[2,4,6,7,3,8,1,5]=>[7,5,8,4,2,6,1,3]=>[2,4,1,5,7,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[1,4,6,7,3,8,5,2]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,5,6,7,8,3,4,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,2,1,6,7,8,4,5]=>[3,2,1,8,7,6,5,4]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[5,4,6,7,1,8,3,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[1,5,6,7,8,3,2,4]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,4,5,7,2,1,8,3]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,4,6,7,2,8,3,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,3,5,2,7,1,8,4]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[5,3,4,1,2,7,8,6]=>[5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[4,3,6,2,7,8,1,5]=>[7,4,8,2,5,6,1,3]=>[2,5,1,7,4,3,8,6]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[4,3,6,2,7,8,5,1]=>[8,4,7,2,5,6,3,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[1,3,6,2,7,8,5,4]=>[1,4,8,2,7,6,5,3]=>[8,5,1,7,2,3,4,6]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[1,4,6,7,2,8,5,3]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[3,4,5,7,2,1,8,6]=>[6,5,3,8,2,1,7,4]=>[3,4,6,1,7,8,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[4,3,6,1,7,8,2,5]=>[7,4,8,2,5,6,1,3]=>[2,5,1,7,4,3,8,6]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[1,5,6,7,8,2,4,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,5,6,7,8,4,2,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,3,6,1,7,8,5,2]=>[8,4,7,2,5,6,3,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[2,3,6,1,7,8,5,4]=>[4,2,8,1,7,6,5,3]=>[5,7,1,8,2,3,4,6]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[2,4,6,7,1,8,5,3]=>[5,8,7,4,1,6,3,2]=>[4,1,2,5,8,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[2,1,4,3,6,5,8,7,9]=>[2,1,4,3,6,5,8,7,9]=>[8,9,6,7,4,5,2,3,1]=>[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]
[1,3,2,5,4,7,6,9,8]=>[1,3,2,5,4,7,6,9,8]=>[9,7,8,5,6,3,4,1,2]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]]
[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]=>[[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]],.]
[7,1,2,3,4,5,6,8,9]=>[7,2,3,4,5,6,1,8,9]=>[3,8,7,6,5,4,9,2,1]=>[[[.,[[[[[.,.],.],.],.],[.,.]]],.],.]
[1,4,3,6,2,5,7,8]=>[1,5,3,6,2,4,7,8]=>[8,4,6,3,7,5,2,1]=>[[[[[.,.],[.,.]],[[.,.],.]],.],.]
[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]=>[8,2,6,1,4,3,7,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[1,4,3,7,5,8,2,6]=>[1,7,3,8,5,6,2,4]=>[8,2,6,1,4,3,7,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[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]=>[8,2,4,1,6,3,7,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[1,3,2,6,5,8,4,7]=>[1,3,2,7,5,8,4,6]=>[8,6,7,2,4,1,5,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]
[1,5,4,8,2,6,3,7]=>[1,7,5,8,3,6,2,4]=>[8,2,4,1,6,3,7,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[1,5,4,8,3,7,2,6]=>[1,7,5,8,3,6,2,4]=>[8,2,4,1,6,3,7,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,5,1,8,6,2,4,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,4,1,8,2,6,3,5]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,1,8,4,2,6,3,5]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,1,3,8,5,2,4,7]=>[7,2,6,8,5,3,1,4]=>[2,7,3,1,4,6,8,5]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]
[7,1,8,3,6,2,5,4]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,2,8,4,1,6,5,3]=>[8,5,7,6,2,4,3,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[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]=>[1,7,2,5,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[6,1,2,8,3,5,4,7]=>[7,2,3,8,5,6,1,4]=>[2,7,6,1,4,3,8,5]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[1,5,2,3,8,4,7,6]=>[1,6,3,4,8,2,7,5]=>[8,3,6,5,1,7,2,4]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]
[5,1,2,3,8,4,7,6]=>[6,2,3,4,8,1,7,5]=>[3,7,6,5,1,8,2,4]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]
[5,2,3,8,1,4,7,6]=>[6,5,3,8,2,1,7,4]=>[3,4,6,1,7,8,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[6,2,8,1,3,5,4,7]=>[7,4,8,2,5,6,1,3]=>[2,5,1,7,4,3,8,6]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[6,2,4,1,8,7,3,5]=>[8,4,7,2,6,5,3,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[3,1,6,4,2,8,5,7]=>[5,2,7,4,1,8,3,6]=>[4,7,2,5,8,1,6,3]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]
[2,6,3,8,7,1,5,4]=>[6,8,3,7,5,1,4,2]=>[3,1,6,2,4,8,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[2,6,3,8,5,1,4,7]=>[6,7,3,8,5,1,2,4]=>[3,2,6,1,4,8,7,5]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]
[2,5,1,8,3,4,7,6]=>[3,6,1,8,5,2,7,4]=>[6,3,8,1,4,7,2,5]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[1,2,5,3,8,4,7,6]=>[1,2,6,4,8,3,7,5]=>[8,7,3,5,1,6,2,4]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]
[1,2,4,8,3,7,6,5]=>[1,2,5,8,3,7,6,4]=>[8,7,4,1,6,2,3,5]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]
[2,4,8,1,3,7,6,5]=>[4,5,8,1,2,7,6,3]=>[5,4,1,8,7,2,3,6]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]
[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]=>[2,5,1,7,3,4,8,6]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[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]=>[3,5,6,7,1,8,2,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[5,2,3,8,4,7,1,6]=>[7,5,3,8,2,6,1,4]=>[2,4,6,1,7,3,8,5]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[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]=>[3,1,5,6,2,8,4,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[4,8,1,2,3,7,6,5]=>[5,8,3,4,1,7,6,2]=>[4,1,6,5,8,2,3,7]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[1,4,8,2,3,7,6,5]=>[1,5,8,4,2,7,6,3]=>[8,4,1,5,7,2,3,6]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]
[1,4,8,3,7,2,6,5]=>[1,6,8,4,7,2,5,3]=>[8,3,1,5,2,7,4,6]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[5,3,8,1,2,4,7,6]=>[6,5,8,4,2,1,7,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[1,5,3,8,2,4,7,6]=>[1,6,5,8,3,2,7,4]=>[8,3,4,1,6,7,2,5]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[1,5,4,8,2,7,6,3]=>[1,8,5,7,3,6,4,2]=>[8,1,4,2,6,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[5,1,4,8,2,7,6,3]=>[8,2,5,7,3,6,4,1]=>[1,7,4,2,6,3,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[5,1,6,2,8,7,4,3]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[4,1,5,8,2,7,6,3]=>[8,2,5,7,3,6,4,1]=>[1,7,4,2,6,3,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[1,4,2,5,8,7,6,3]=>[1,8,3,4,7,6,5,2]=>[8,1,6,5,2,3,4,7]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[1,3,5,2,8,7,4,6]=>[1,4,7,2,8,6,3,5]=>[8,5,2,7,1,3,6,4]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]
[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]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[4,2,6,1,8,7,3,5]=>[7,4,8,2,6,5,1,3]=>[2,5,1,7,3,4,8,6]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[3,5,2,8,7,1,4,6]=>[6,7,3,8,5,1,2,4]=>[3,2,6,1,4,8,7,5]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]
[3,4,8,7,2,6,1,5]=>[7,5,8,6,2,4,1,3]=>[2,4,1,3,7,5,8,6]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[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]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[1,3,4,8,7,2,6,5]=>[1,6,3,8,7,2,5,4]=>[8,3,6,1,2,7,4,5]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]
[1,3,4,8,2,7,6,5]=>[1,5,3,8,2,7,6,4]=>[8,4,6,1,7,2,3,5]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[3,4,8,1,2,7,6,5]=>[5,4,8,2,1,7,6,3]=>[4,5,1,7,8,2,3,6]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[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]=>[2,5,1,7,3,4,8,6]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[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]=>[5,6,7,8,4,1,2,3]=>[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]]
[3,1,4,2,5,8,7,6]=>[4,2,3,1,5,8,7,6]=>[5,7,6,8,4,1,2,3]=>[[[.,[[.,.],[.,.]]],.],[.,[.,.]]]
[2,3,5,1,8,7,6,4]=>[4,2,8,1,7,6,5,3]=>[5,7,1,8,2,3,4,6]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[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]=>[2,3,6,5,4,7,8,1]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[6,3,1,5,4,2,7,8]=>[6,5,3,4,2,1,7,8]=>[3,4,6,5,7,8,2,1]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[7,8,1,5,4,2,6,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,3,6,2,4,7,1,8]=>[7,5,4,3,2,6,1,8]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[6,4,2,1,7,3,8,5]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[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]=>[2,7,1,4,5,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[3,1,6,7,4,8,5,2]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[1,7,6,5,3,8,4,2]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[2,7,6,5,3,8,1,4]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[2,7,6,5,3,1,4,8]=>[6,7,5,4,3,1,2,8]=>[3,2,4,5,6,8,7,1]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[2,7,1,4,8,3,5,6]=>[3,8,1,6,7,4,5,2]=>[6,1,8,3,2,5,4,7]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[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]=>[2,7,4,5,6,1,8,3]=>[[.,[[.,.],[.,[.,.]]]],[[.,.],.]]
[4,7,6,5,2,1,3,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,7,6,5,2,8,1,3]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,7,6,5,1,8,3,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[1,7,6,5,2,8,3,4]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[4,7,6,5,1,2,8,3]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,7,6,5,3,1,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,2,6,3,4,1,7,8]=>[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[1,2,6,3,4,8,7,5]=>[1,2,8,4,5,7,6,3]=>[8,7,1,5,4,2,3,6]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]
[1,7,2,4,8,3,6,5]=>[1,8,3,6,7,4,5,2]=>[8,1,6,3,2,5,4,7]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[4,1,8,2,6,3,5,7]=>[6,2,8,4,7,1,5,3]=>[3,7,1,5,2,8,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[4,7,1,6,2,3,8,5]=>[6,8,3,5,4,1,7,2]=>[3,1,6,4,5,8,2,7]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[1,7,2,6,8,3,5,4]=>[1,8,3,7,6,5,4,2]=>[8,1,6,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,2,6,7,4,8,5,3]=>[1,2,8,7,5,6,4,3]=>[8,7,1,2,4,3,5,6]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[3,2,8,5,4,6,1,7]=>[7,2,8,5,4,6,1,3]=>[2,7,1,4,5,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[4,7,6,3,5,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,7,1,2,5,3,8,6]=>[6,8,3,4,5,1,7,2]=>[3,1,6,5,4,8,2,7]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]
[3,7,6,5,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[3,7,6,5,1,4,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,7,6,5,2,1,8,4]=>[6,8,5,4,3,1,7,2]=>[3,1,4,5,6,8,2,7]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[1,7,6,5,8,2,4,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[3,2,4,5,6,8,7,1]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[3,1,6,8,4,2,5,7]=>[6,2,7,8,5,1,3,4]=>[3,7,2,1,4,8,6,5]=>[[[.,[.,.]],.],[.,[[[.,.],.],.]]]
[4,7,6,8,3,5,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,3,2,1,7,4,8,5]=>[8,4,3,2,6,5,7,1]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[4,2,1,7,3,5,8,6]=>[5,3,2,8,1,6,7,4]=>[4,6,7,1,8,3,2,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[8,2,5,1,3,7,6,4]=>[8,4,7,2,5,6,3,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[6,3,7,4,2,1,8,5]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,7,2,5,3,1,8,6]=>[6,8,5,4,3,1,7,2]=>[3,1,4,5,6,8,2,7]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[2,7,5,4,1,3,8,6]=>[5,8,6,4,1,3,7,2]=>[4,1,3,5,8,6,2,7]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]
[7,5,4,3,2,1,8,6]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,5,3,2,1,7,6,4]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,5,2,1,8,4,3,7]=>[7,6,4,3,8,2,1,5]=>[2,3,5,6,1,7,8,4]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[4,6,3,2,8,1,5,7]=>[6,7,4,3,8,1,2,5]=>[3,2,5,6,1,8,7,4]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]
[5,7,4,3,2,8,1,6]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[1,7,6,2,4,8,3,5]=>[1,8,7,4,5,6,3,2]=>[8,1,2,5,4,3,6,7]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,1,8,5,3,6,4,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,8,1,6,2,7,4,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,8,6,2,3,7,5,4]=>[1,8,7,4,5,6,3,2]=>[8,1,2,5,4,3,6,7]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[1,8,6,3,2,7,5,4]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,5,7,2,4,6,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[3,6,5,8,1,4,2,7]=>[7,6,5,8,3,2,1,4]=>[2,3,4,1,6,7,8,5]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[2,6,5,8,4,1,3,7]=>[6,7,5,8,3,1,2,4]=>[3,2,4,1,6,8,7,5]=>[[[.,.],[.,.]],[[.,[[.,.],.]],.]]
[6,5,4,8,3,2,1,7]=>[7,6,5,8,3,2,1,4]=>[2,3,4,1,6,7,8,5]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[8,4,3,7,2,1,6,5]=>[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[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]=>[2,4,3,1,7,6,8,5]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]
[4,3,6,8,2,1,5,7]=>[6,5,7,8,2,1,3,4]=>[3,4,2,1,7,8,6,5]=>[[[.,[.,.]],.],[[[.,[.,.]],.],.]]
[6,3,5,1,8,4,2,7]=>[7,6,4,3,8,2,1,5]=>[2,3,5,6,1,7,8,4]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[8,4,1,5,7,3,6,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,4,2,5,8,3,1,7]=>[7,6,4,3,8,2,1,5]=>[2,3,5,6,1,7,8,4]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[5,4,1,6,8,2,3,7]=>[7,6,3,4,8,2,1,5]=>[2,3,6,5,1,7,8,4]=>[[.,[.,[[.,.],.]]],[[.,[.,.]],.]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[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]=>[4,1,2,3,8,5,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[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]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[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]=>[6,7,8,9,5,4,3,2,1]=>[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.]
[3,2,1,4,5,6,7,8,9]=>[3,2,1,4,5,6,7,8,9]=>[7,8,9,6,5,4,3,2,1]=>[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.]
[4,5,6,1,2,3,7,8,9]=>[6,5,4,3,2,1,7,8,9]=>[4,5,6,7,8,9,3,2,1]=>[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.]
[4,2,5,1,3,6,7,8,9]=>[5,4,3,2,1,6,7,8,9]=>[5,6,7,8,9,4,3,2,1]=>[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.]
[4,3,2,1,5,6,7,8,9]=>[4,3,2,1,5,6,7,8,9]=>[6,7,8,9,5,4,3,2,1]=>[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.]
[5,6,7,8,1,2,3,4,9]=>[8,7,6,5,4,3,2,1,9]=>[2,3,4,5,6,7,8,9,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[5,6,3,4,1,2,7,8,9]=>[6,5,4,3,2,1,7,8,9]=>[4,5,6,7,8,9,3,2,1]=>[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.]
[5,4,3,2,1,6,7,8,9]=>[5,4,3,2,1,6,7,8,9]=>[5,6,7,8,9,4,3,2,1]=>[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.]
[6,7,3,4,8,1,2,5,9]=>[8,7,6,4,5,3,2,1,9]=>[2,3,4,6,5,7,8,9,1]=>[[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]],.]
[6,4,7,2,5,1,3,8,9]=>[7,6,5,4,3,2,1,8,9]=>[3,4,5,6,7,8,9,2,1]=>[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.]
[6,5,4,3,2,1,7,8,9]=>[6,5,4,3,2,1,7,8,9]=>[4,5,6,7,8,9,3,2,1]=>[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.]
[7,8,5,6,3,4,1,2,9]=>[8,7,6,5,4,3,2,1,9]=>[2,3,4,5,6,7,8,9,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[7,5,3,8,2,6,1,4,9]=>[8,7,6,5,4,3,2,1,9]=>[2,3,4,5,6,7,8,9,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[7,6,5,4,3,2,1,8,9]=>[7,6,5,4,3,2,1,8,9]=>[3,4,5,6,7,8,9,2,1]=>[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.]
[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]=>[7,8,9,10,6,5,4,3,2,1]=>[[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.],.]
[3,2,1,4,5,6,7,8,9,10]=>[3,2,1,4,5,6,7,8,9,10]=>[8,9,10,7,6,5,4,3,2,1]=>[[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.],.]
[4,5,6,1,2,3,7,8,9,10]=>[6,5,4,3,2,1,7,8,9,10]=>[5,6,7,8,9,10,4,3,2,1]=>[[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.],.]
[4,2,5,1,3,6,7,8,9,10]=>[5,4,3,2,1,6,7,8,9,10]=>[6,7,8,9,10,5,4,3,2,1]=>[[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.],.]
[4,3,2,1,5,6,7,8,9,10]=>[4,3,2,1,5,6,7,8,9,10]=>[7,8,9,10,6,5,4,3,2,1]=>[[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.],.]
[5,6,7,8,1,2,3,4,9,10]=>[8,7,6,5,4,3,2,1,9,10]=>[3,4,5,6,7,8,9,10,2,1]=>[[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.],.]
[5,6,3,4,1,2,7,8,9,10]=>[6,5,4,3,2,1,7,8,9,10]=>[5,6,7,8,9,10,4,3,2,1]=>[[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.],.]
[5,4,3,2,1,6,7,8,9,10]=>[5,4,3,2,1,6,7,8,9,10]=>[6,7,8,9,10,5,4,3,2,1]=>[[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.],.]
[6,2,7,8,9,1,3,4,5,10]=>[9,6,8,7,5,2,4,3,1,10]=>[2,5,3,4,6,9,7,8,10,1]=>[[.,[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]],.]
[6,4,7,2,5,1,3,8,9,10]=>[7,6,5,4,3,2,1,8,9,10]=>[4,5,6,7,8,9,10,3,2,1]=>[[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.],.]
[6,5,4,3,2,1,7,8,9,10]=>[6,5,4,3,2,1,7,8,9,10]=>[5,6,7,8,9,10,4,3,2,1]=>[[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.],.]
[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]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[7,8,5,6,3,4,1,2,9,10]=>[8,7,6,5,4,3,2,1,9,10]=>[3,4,5,6,7,8,9,10,2,1]=>[[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.],.]
[7,5,3,8,2,6,1,4,9,10]=>[8,7,6,5,4,3,2,1,9,10]=>[3,4,5,6,7,8,9,10,2,1]=>[[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.],.]
[7,6,5,4,3,2,1,8,9,10]=>[7,6,5,4,3,2,1,8,9,10]=>[4,5,6,7,8,9,10,3,2,1]=>[[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.],.]
[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]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[8,6,4,3,9,2,7,1,5,10]=>[9,8,7,6,5,4,3,2,1,10]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[8,7,6,5,4,3,2,1,9,10]=>[8,7,6,5,4,3,2,1,9,10]=>[3,4,5,6,7,8,9,10,2,1]=>[[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.],.]
[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]=>[4,3,5,6,8,7,1,2]=>[[[.,.],[.,[.,[[.,.],.]]]],[.,.]]
[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]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[4,1,5,7,8,3,2,6]=>[7,2,6,8,5,3,1,4]=>[2,7,3,1,4,6,8,5]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]
[4,1,5,8,7,3,2,6]=>[7,2,6,8,5,3,1,4]=>[2,7,3,1,4,6,8,5]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]
[4,7,1,8,3,6,2,5]=>[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[4,1,7,8,5,2,3,6]=>[7,2,8,6,5,4,1,3]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[5,1,7,4,8,2,3,6]=>[7,2,8,6,5,4,1,3]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[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]=>[7,8,2,1,3,4,6,5]=>[[[.,[.,.]],.],[.,[.,[[.,.],.]]]]
[5,1,8,4,7,2,3,6]=>[7,2,8,6,5,4,1,3]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[4,1,8,7,5,2,3,6]=>[7,2,8,6,5,4,1,3]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[4,7,1,6,3,2,8,5]=>[6,8,3,5,4,1,7,2]=>[3,1,6,4,5,8,2,7]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[6,8,1,4,3,7,2,5]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[7,8,1,5,4,2,3,6]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]
[7,8,3,2,4,1,6,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,1,8,5,4,3,2,6]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[3,6,7,1,4,2,8,5]=>[6,8,5,4,3,1,7,2]=>[3,1,4,5,6,8,2,7]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,7,4,5,3,2,6]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,7,2,4,3,6,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,1,2,3,5,8,7,4]=>[8,2,3,4,5,7,6,1]=>[1,7,6,5,4,2,3,8]=>[.,[[[[[.,.],.],.],.],[.,[.,.]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,1,6,3,4,8,7,5]=>[2,1,8,4,5,7,6,3]=>[7,8,1,5,4,2,3,6]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[1,7,6,5,4,2,3,8]=>[.,[[[[[.,.],.],.],.],[.,[.,.]]]]
[1,4,8,2,7,3,5,6]=>[1,6,8,4,7,2,5,3]=>[8,3,1,5,2,7,4,6]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[1,2,8,5,4,7,3,6]=>[1,2,8,7,5,6,4,3]=>[8,7,1,2,4,3,5,6]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[1,3,8,5,4,2,7,6]=>[1,6,8,5,4,2,7,3]=>[8,3,1,4,5,7,2,6]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]
[2,3,6,8,4,7,1,5]=>[7,2,8,6,5,4,1,3]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[1,3,6,8,4,7,5,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,4,8,1,7,3,6,5]=>[4,6,8,1,7,2,5,3]=>[5,3,1,8,2,7,4,6]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[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]=>[8,7,1,2,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[7,5,1,2,4,3,6,8]=>[7,6,3,4,5,2,1,8]=>[2,3,6,5,4,7,8,1]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[7,4,6,1,5,2,3,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,1,4,2,6,3,5,8]=>[7,2,6,4,5,3,1,8]=>[2,7,3,5,4,6,8,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[6,8,1,4,7,2,3,5]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,6,4,2,8,3,5,7]=>[1,7,6,4,8,3,2,5]=>[8,2,3,5,1,6,7,4]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]
[6,8,1,7,3,5,4,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,3,1,6,5,4,2,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[7,2,3,6,5,1,4,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[7,1,2,3,6,5,4,8]=>[7,2,3,4,6,5,1,8]=>[2,7,6,5,3,4,8,1]=>[[.,[[[[.,.],.],.],[.,[.,.]]]],.]
[1,6,2,3,8,5,4,7]=>[1,7,3,4,8,6,2,5]=>[8,2,6,5,1,3,7,4]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]
[1,5,8,2,7,6,3,4]=>[1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[5,1,8,2,7,6,3,4]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[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]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[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]=>[4,2,5,6,8,1,7,3]=>[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]
[2,5,1,8,7,6,3,4]=>[3,8,1,7,6,5,4,2]=>[6,1,8,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,2,5,3,8,7,4,6]=>[1,2,7,4,8,6,3,5]=>[8,7,2,5,1,3,6,4]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]
[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]=>[3,1,6,2,4,8,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[2,5,8,4,1,7,6,3]=>[5,8,7,4,1,6,3,2]=>[4,1,2,5,8,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[3,5,8,7,1,4,2,6]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,3,8,7,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,5,3,8,7,6,2,4]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,5,8,4,7,2,6,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,1,8,4,7,2,6,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[5,6,2,4,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[4,5,8,1,7,2,6,3]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[1,3,2,5,8,7,4,6]=>[1,3,2,7,8,6,4,5]=>[8,6,7,2,1,3,5,4]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]
[3,5,1,8,7,2,6,4]=>[6,8,3,7,5,1,4,2]=>[3,1,6,2,4,8,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[4,3,6,1,2,8,5,7]=>[5,4,7,2,1,8,3,6]=>[4,5,2,7,8,1,6,3]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]
[4,5,8,3,1,7,2,6]=>[7,5,8,4,2,6,1,3]=>[2,4,1,5,7,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[4,5,2,8,7,1,3,6]=>[7,6,3,8,5,2,1,4]=>[2,3,6,1,4,7,8,5]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[3,2,5,8,7,1,6,4]=>[6,2,8,7,5,1,4,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[3,4,8,7,6,2,1,5]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[3,1,4,8,7,6,2,5]=>[7,2,3,8,6,5,1,4]=>[2,7,6,1,3,4,8,5]=>[[.,[[.,.],.]],[.,[.,[[.,.],.]]]]
[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]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[2,1,3,5,8,7,4,6]=>[2,1,3,7,8,6,4,5]=>[7,8,6,2,1,3,5,4]=>[[[[.,[.,.]],.],.],[.,[[.,.],.]]]
[1,2,7,5,8,6,4,3]=>[1,2,8,7,6,5,4,3]=>[8,7,1,2,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[7,1,4,8,2,6,5,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,8,1,3,7,5,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,7,8,1,2,6,5,4]=>[5,8,7,4,1,6,3,2]=>[4,1,2,5,8,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,3,7,8,2,6,5,4]=>[1,5,8,7,2,6,4,3]=>[8,4,1,2,7,3,5,6]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[2,3,7,8,1,6,5,4]=>[5,2,8,7,1,6,4,3]=>[4,7,1,2,8,3,5,6]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[8,1,2,6,7,3,5,4]=>[8,2,3,7,6,5,4,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[8,1,2,6,7,5,3,4]=>[8,2,3,7,6,5,4,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[8,2,5,7,1,3,6,4]=>[8,5,7,6,2,4,3,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[2,8,1,6,7,3,5,4]=>[3,8,1,7,6,5,4,2]=>[6,1,8,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[2,8,6,4,7,1,5,3]=>[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,8,1,6,7,5,3,4]=>[3,8,1,7,6,5,4,2]=>[6,1,8,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[8,2,5,7,1,6,3,4]=>[8,5,7,6,2,4,3,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[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]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,2,4,7,3,6,1,5]=>[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]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,7,1,4,6,2,3,5]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,4,6,8,2,7,5,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,6,5,8,2,7,4,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[8,6,7,1,3,4,2,5]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[4,2,8,5,3,7,1,6]=>[7,5,8,4,2,6,1,3]=>[2,4,1,5,7,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[5,2,1,8,4,3,7,6]=>[6,3,2,8,5,1,7,4]=>[3,6,7,1,4,8,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[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]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[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]=>[3,5,6,7,1,8,2,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[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]=>[3,5,6,7,1,8,2,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[4,5,3,2,8,7,1,6]=>[7,4,3,2,8,6,1,5]=>[2,5,6,7,1,3,8,4]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]
[6,4,3,2,8,7,5,1]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[4,1,6,3,2,7,8,5]=>[5,2,8,4,1,6,7,3]=>[4,7,1,5,8,3,2,6]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[3,6,4,2,7,8,1,5]=>[7,8,4,3,5,6,1,2]=>[2,1,5,6,4,3,8,7]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]
[8,1,6,4,3,7,2,5]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,7,4,3,6,5,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,1,7,3,2,6,5,8]=>[5,2,7,4,1,6,3,8]=>[4,7,2,5,8,3,6,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[5,7,3,2,6,4,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,7,3,2,5,4,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,6,3,2,1,5,4,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,7,5,6,2,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[2,6,5,7,1,3,8,4]=>[5,8,6,4,1,3,7,2]=>[4,1,3,5,8,6,2,7]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]
[4,6,5,7,2,8,1,3]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,6,4,7,2,8,3,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,5,4,1,7,2,8,3]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[7,5,4,6,2,1,8,3]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,4,5,7,1,8,2,3]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,1,5,6,7,2,3,4]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,1,4,6,8,7,3,5]=>[2,1,7,8,6,5,3,4]=>[7,8,2,1,3,4,6,5]=>[[[.,[.,.]],.],[.,[.,[[.,.],.]]]]
[3,4,6,8,7,1,2,5]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[4,3,1,6,8,7,2,5]=>[7,3,2,8,6,5,1,4]=>[2,6,7,1,3,4,8,5]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]
[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]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[4,2,1,8,6,7,3,5]=>[7,3,2,8,6,5,1,4]=>[2,6,7,1,3,4,8,5]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]
[1,3,2,8,6,7,4,5]=>[1,3,2,8,7,6,5,4]=>[8,6,7,1,2,3,4,5]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]
[2,3,8,6,7,1,4,5]=>[6,2,8,7,5,1,4,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[8,1,3,2,6,7,4,5]=>[8,2,4,3,7,6,5,1]=>[1,7,5,6,2,3,4,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[2,3,8,7,1,6,5,4]=>[5,2,8,7,1,6,4,3]=>[4,7,1,2,8,3,5,6]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[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]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[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]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,5,6,4,3,1,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,6,7,5,3,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,6,7,5,1,4,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,1,6,7,5,4,2,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,7,6,5,4,3,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,7,6,1,5,4,3,8]=>[4,7,6,1,5,3,2,8]=>[5,2,3,8,4,6,7,1]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[3,7,6,5,1,4,2,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,7,6,5,3,1,2,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[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]=>[3,4,6,2,7,8,5,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[8,5,1,6,4,2,7,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,5,1,3,6,4,7,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,6,1,5,3,4,7,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,6,1,5,2,4,7,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,1,4,2,3,8,6,7]=>[5,2,4,3,1,8,7,6]=>[4,7,5,6,8,1,2,3]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]
[7,1,5,8,2,6,3,4]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,1,5,7,2,4,6,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,4,2,3,8,7,5,6]=>[1,4,3,2,8,7,6,5]=>[8,5,6,7,1,2,3,4]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]
[1,4,2,7,6,3,5,8]=>[1,6,3,7,5,2,4,8]=>[8,3,6,2,4,7,5,1]=>[[[[.,.],[.,.]],[.,[[.,.],.]]],.]
[6,1,2,8,7,5,3,4]=>[8,2,3,7,6,5,4,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[6,1,2,4,8,7,5,3]=>[8,2,3,7,6,5,4,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[3,1,8,4,6,7,5,2]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[3,1,7,6,4,8,5,2]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[7,1,2,4,6,8,5,3]=>[8,2,3,7,5,6,4,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[7,1,2,6,8,5,3,4]=>[8,2,3,7,6,5,4,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[6,1,2,7,8,5,3,4]=>[8,2,3,7,6,5,4,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[6,1,2,7,4,8,5,3]=>[8,2,3,7,5,6,4,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[3,1,6,4,7,8,5,2]=>[8,2,7,4,5,6,3,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[5,7,1,3,8,4,6,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,7,1,8,4,2,6,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,1,5,3,2,8,6,4]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[7,1,4,5,2,8,6,3]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,7,5,3,2,6,4]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,1,2,8,4,7,5,6]=>[3,2,1,8,5,7,6,4]=>[6,7,8,1,4,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[3,1,2,8,6,4,5,7]=>[3,2,1,8,7,6,5,4]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[3,1,7,2,6,4,5,8]=>[4,2,7,1,6,5,3,8]=>[5,7,2,8,3,4,6,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[1,4,2,3,8,6,5,7]=>[1,4,3,2,8,7,6,5]=>[8,5,6,7,1,2,3,4]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]
[1,4,2,3,8,5,7,6]=>[1,4,3,2,8,6,7,5]=>[8,5,6,7,1,3,2,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[5,8,1,7,2,4,6,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,1,8,6,4,7,5,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,2,6,7,4,5,3]=>[8,2,3,7,6,5,4,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[6,1,2,8,7,3,5,4]=>[8,2,3,7,6,5,4,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[1,2,3,5,8,4,7,6]=>[1,2,3,6,8,4,7,5]=>[8,7,6,3,1,5,2,4]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]
[7,1,2,8,3,6,5,4]=>[8,2,3,7,5,6,4,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
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[7,5,3,1,4,2,6,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,5,3,1,4,2,8,6]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
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[7,5,3,1,6,2,4,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,5,3,1,6,4,2,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
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[7,5,3,8,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
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[7,5,3,4,1,6,2,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
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[7,5,3,1,6,8,4,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,5,3,1,6,8,2,4]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,5,3,1,4,8,2,6]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,5,3,1,4,6,2,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,5,3,1,2,6,4,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,5,3,1,2,8,4,6]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
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[7,5,3,1,4,8,6,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,5,3,4,1,8,6,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
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[6,4,5,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
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[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,8,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,3,2,8,4,7,6,1]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,7,5,3,2,8,6,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,1,8,6,7,5,4,3]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
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[8,4,5,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,4,7,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
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[3,7,2,6,8,5,4,1]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,8,2,6,7,5,4,1]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,7,2,8,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,6,2,8,7,5,4,1]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,5,4,3,2,8,6,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,3,2,8,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,3,2,7,8,5,4,1]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[7,8,9,6,5,4,3,2,1]=>[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.]
[2,3,4,1,5,6,7,8,9]=>[4,2,3,1,5,6,7,8,9]=>[6,8,7,9,5,4,3,2,1]=>[[[[[[.,[[.,.],[.,.]]],.],.],.],.],.]
[2,3,4,5,1,6,7,8,9]=>[5,2,3,4,1,6,7,8,9]=>[5,8,7,6,9,4,3,2,1]=>[[[[[.,[[[.,.],.],[.,.]]],.],.],.],.]
[2,3,4,5,6,1,7,8,9]=>[6,2,3,4,5,1,7,8,9]=>[4,8,7,6,5,9,3,2,1]=>[[[[.,[[[[.,.],.],.],[.,.]]],.],.],.]
[2,3,1,4,5,6,7,8,9,10]=>[3,2,1,4,5,6,7,8,9,10]=>[8,9,10,7,6,5,4,3,2,1]=>[[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.],.]
[2,4,3,1,5,6,7,8,9]=>[4,3,2,1,5,6,7,8,9]=>[6,7,8,9,5,4,3,2,1]=>[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.]
[4,6,8,3,5,7,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,5,8,2,4,7,1,6]=>[7,5,8,4,2,6,1,3]=>[2,4,1,5,7,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[8,3,5,2,4,1,6,7]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,2,5,7,3,6,1,8]=>[7,5,3,6,2,4,1,8]=>[2,4,6,3,7,5,8,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[4,5,2,8,3,1,6,7]=>[6,5,3,8,2,1,7,4]=>[3,4,6,1,7,8,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[4,2,5,8,3,7,1,6]=>[7,5,3,8,2,6,1,4]=>[2,4,6,1,7,3,8,5]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[2,1,6,8,4,7,3,5]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[1,2,5,8,3,6,7,4]=>[1,2,8,7,5,6,4,3]=>[8,7,1,2,4,3,5,6]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[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]=>[8,1,3,2,4,6,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[3,1,2,6,8,5,7,4]=>[3,2,1,8,7,6,5,4]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[1,4,3,8,2,6,7,5]=>[1,5,3,8,2,7,6,4]=>[8,4,6,1,7,2,3,5]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[5,4,8,3,2,1,6,7]=>[6,5,8,4,2,1,7,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[5,4,3,7,2,6,1,8]=>[7,5,3,6,2,4,1,8]=>[2,4,6,3,7,5,8,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[4,6,3,2,1,8,5,7]=>[5,7,4,3,1,8,2,6]=>[4,2,5,6,8,1,7,3]=>[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]
[4,1,7,3,2,5,8,6]=>[5,2,8,4,1,6,7,3]=>[4,7,1,5,8,3,2,6]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[4,3,1,7,8,2,6,5]=>[6,3,2,8,7,1,5,4]=>[3,6,7,1,2,8,4,5]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]
[7,5,1,4,8,2,6,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,8,3,1,7,2,6,5]=>[6,8,4,3,7,1,5,2]=>[3,1,5,6,2,8,4,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[1,8,4,3,5,2,7,6]=>[1,8,6,4,5,3,7,2]=>[8,1,3,5,4,6,2,7]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[4,6,3,1,5,2,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[4,7,3,6,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,3,7,6,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,6,3,4,2,8,7,5]=>[1,8,5,4,3,7,6,2]=>[8,1,4,5,6,2,3,7]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[1,8,3,6,2,7,5,4]=>[1,8,5,7,3,6,4,2]=>[8,1,4,2,6,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,6,8,7,4,2,5,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[7,1,3,2,6,8,5,4]=>[8,2,4,3,7,6,5,1]=>[1,7,5,6,2,3,4,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[1,5,3,2,7,4,8,6]=>[1,6,4,3,8,2,7,5]=>[8,3,5,6,1,7,2,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[6,3,2,1,8,5,4,7]=>[7,4,3,2,8,6,1,5]=>[2,5,6,7,1,3,8,4]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]
[6,5,3,2,7,4,1,8]=>[7,6,4,3,5,2,1,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[5,2,6,3,7,4,1,8]=>[7,6,4,3,5,2,1,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[2,8,5,3,1,6,4,7]=>[5,8,7,4,1,6,3,2]=>[4,1,2,5,8,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,6,2,3,7,8,5,4]=>[1,8,3,4,7,6,5,2]=>[8,1,6,5,2,3,4,7]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[1,6,7,2,8,4,5,3]=>[1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[5,7,1,8,2,4,6,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,1,2,7,8,3,6,4]=>[8,2,3,7,6,5,4,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[2,4,1,7,8,6,3,5]=>[3,7,1,8,6,5,2,4]=>[6,2,8,1,3,4,7,5]=>[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]
[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]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[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]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[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]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[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]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,4,6,2,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,2,4,1,6,5,3,7]=>[8,4,7,2,6,5,3,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[4,2,8,1,7,5,3,6]=>[7,4,8,2,6,5,1,3]=>[2,5,1,7,3,4,8,6]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[8,2,4,1,7,6,3,5]=>[8,4,7,2,6,5,3,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,7,1,5,6,2,4,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,2,6,4,3,7,5]=>[8,2,3,7,6,5,4,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[2,8,1,7,5,4,3,6]=>[3,8,1,7,6,5,4,2]=>[6,1,8,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[2,5,1,8,6,4,3,7]=>[3,7,1,8,6,5,2,4]=>[6,2,8,1,3,4,7,5]=>[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]
[5,7,2,6,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,2,7,5,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[2,1,8,6,5,4,3,7]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[1,2,7,5,4,3,8,6]=>[1,2,8,6,5,4,7,3]=>[8,7,1,3,4,5,2,6]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]
[1,7,2,4,3,8,6,5]=>[1,8,3,5,4,7,6,2]=>[8,1,6,4,5,2,3,7]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[1,7,2,8,3,6,5,4]=>[1,8,3,7,5,6,4,2]=>[8,1,6,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,7,8,6,5,2,4,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,1,7,3,2,6,5,4]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[5,1,4,3,2,8,7,6]=>[5,2,4,3,1,8,7,6]=>[4,7,5,6,8,1,2,3]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,6,3,2,7,5,1,8]=>[7,6,4,3,5,2,1,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[1,4,3,7,2,5,8,6]=>[1,5,3,8,2,6,7,4]=>[8,4,6,1,7,3,2,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[1,8,7,2,5,4,6,3]=>[1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,8,5,3,7,2,6,4]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,3,1,8,7,5,2,6]=>[7,3,2,8,6,5,1,4]=>[2,6,7,1,3,4,8,5]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]
[1,4,8,6,3,5,2,7]=>[1,7,8,6,5,4,2,3]=>[8,2,1,3,4,5,7,6]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[7,4,6,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,3,5,6,8,4,2,7]=>[1,7,6,4,8,3,2,5]=>[8,2,3,5,1,6,7,4]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]
[3,5,4,8,7,1,2,6]=>[7,6,3,8,5,2,1,4]=>[2,3,6,1,4,7,8,5]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[3,1,4,6,8,7,2,5]=>[7,2,3,8,6,5,1,4]=>[2,7,6,1,3,4,8,5]=>[[.,[[.,.],.]],[.,[.,[[.,.],.]]]]
[1,6,3,8,7,2,5,4]=>[1,8,6,7,5,3,4,2]=>[8,1,3,2,4,6,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[1,6,2,4,8,7,5,3]=>[1,8,3,7,6,5,4,2]=>[8,1,6,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[8,4,1,6,7,5,3,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,1,6,4,8,5,2,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[8,5,1,7,2,3,4,6]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[3,6,5,2,8,1,4,7]=>[6,7,4,3,8,1,2,5]=>[3,2,5,6,1,8,7,4]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]
[3,6,5,7,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,2,6,3,8,1,5,7]=>[6,4,7,2,8,1,3,5]=>[3,5,2,7,1,8,6,4]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]
[3,6,2,4,7,5,1,8]=>[7,6,3,4,5,2,1,8]=>[2,3,6,5,4,7,8,1]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[3,6,2,4,1,8,5,7]=>[5,7,3,4,1,8,2,6]=>[4,2,6,5,8,1,7,3]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]
[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]=>[4,1,2,5,8,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[3,8,2,7,1,5,4,6]=>[5,8,3,7,1,6,4,2]=>[4,1,6,2,8,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[3,6,8,2,1,5,4,7]=>[5,7,8,4,1,6,2,3]=>[4,2,1,5,8,3,7,6]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]
[2,4,8,1,6,5,3,7]=>[4,7,8,1,6,5,2,3]=>[5,2,1,8,3,4,7,6]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]
[4,2,8,1,5,7,3,6]=>[7,4,8,2,5,6,1,3]=>[2,5,1,7,4,3,8,6]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,6,1,7,5,4,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,6,2,8,7,3,5,4]=>[1,8,3,7,6,5,4,2]=>[8,1,6,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,8,2,4,6,7,3,5]=>[1,8,3,7,6,5,4,2]=>[8,1,6,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[2,1,5,8,6,4,3,7]=>[2,1,7,8,6,5,3,4]=>[7,8,2,1,3,4,6,5]=>[[[.,[.,.]],.],[.,[.,[[.,.],.]]]]
[7,2,5,6,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,2,5,7,8,4,3,6]=>[1,2,7,8,6,5,3,4]=>[8,7,2,1,3,4,6,5]=>[[[[.,.],.],.],[.,[.,[[.,.],.]]]]
[1,2,7,4,8,6,3,5]=>[1,2,8,7,6,5,4,3]=>[8,7,1,2,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,2,7,8,3,6,5,4]=>[1,2,8,7,5,6,4,3]=>[8,7,1,2,4,3,5,6]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[7,1,8,6,3,5,4,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,8,7,6,3,5,2,4]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,7,4,6,3,2,5]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,1,5,8,3,4,6,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[6,1,8,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[7,1,4,5,6,8,2,3]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[7,1,4,6,5,8,3,2]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[7,1,5,4,3,8,2,6]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,5,1,4,7,8,6,3]=>[3,8,1,4,7,6,5,2]=>[6,1,8,5,2,3,4,7]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[3,5,1,4,8,6,2,7]=>[7,4,3,2,8,6,1,5]=>[2,5,6,7,1,3,8,4]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]
[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]=>[2,3,5,6,1,7,8,4]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[3,4,7,2,5,8,1,6]=>[7,4,8,2,5,6,1,3]=>[2,5,1,7,4,3,8,6]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[4,3,8,1,2,7,5,6]=>[5,4,8,2,1,7,6,3]=>[4,5,1,7,8,2,3,6]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[3,4,1,5,7,6,2,8]=>[7,3,2,4,6,5,1,8]=>[2,6,7,5,3,4,8,1]=>[[.,[[[.,[.,.]],.],[.,[.,.]]]],.]
[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]=>[5,1,2,8,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[7,6,5,1,3,8,2,4]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,6,5,1,3,4,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,2,6,4,1,3,8,5]=>[8,5,6,4,2,3,7,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[6,7,5,2,1,3,8,4]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[4,3,5,6,8,7,2,1]=>[[[[.,.],[.,[.,[[.,.],.]]]],.],.]
[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]=>[2,4,6,5,7,3,8,1]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,3,5,2,1,7,4,8]=>[7,5,4,3,2,6,1,8]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[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]=>[2,4,5,6,7,1,8,3]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[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]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,6,2,4,3,7,8,5]=>[1,8,3,5,4,6,7,2]=>[8,1,6,4,5,3,2,7]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]
[1,5,6,2,4,7,8,3]=>[1,8,5,4,3,6,7,2]=>[8,1,4,5,6,3,2,7]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[1,5,8,2,4,7,3,6]=>[1,7,8,4,5,6,2,3]=>[8,2,1,5,4,3,7,6]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]
[1,5,7,2,4,8,3,6]=>[1,7,8,4,5,6,2,3]=>[8,2,1,5,4,3,7,6]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]
[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]=>[8,1,3,5,4,6,2,7]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[1,5,8,2,4,6,7,3]=>[1,8,7,4,5,6,3,2]=>[8,1,2,5,4,3,6,7]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[1,5,7,2,4,6,8,3]=>[1,8,6,4,5,3,7,2]=>[8,1,3,5,4,6,2,7]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[1,5,7,8,3,2,4,6]=>[1,7,8,6,5,4,2,3]=>[8,2,1,3,4,5,7,6]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[1,5,8,3,2,4,6,7]=>[1,6,8,5,4,2,7,3]=>[8,3,1,4,5,7,2,6]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]
[1,7,6,2,8,3,4,5]=>[1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,7,3,4,2,8,6,5]=>[1,8,5,4,3,7,6,2]=>[8,1,4,5,6,2,3,7]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[1,6,2,4,3,8,7,5]=>[1,8,3,5,4,7,6,2]=>[8,1,6,4,5,2,3,7]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[1,5,6,2,4,8,7,3]=>[1,8,5,4,3,7,6,2]=>[8,1,4,5,6,2,3,7]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[1,5,8,7,3,2,4,6]=>[1,7,8,6,5,4,2,3]=>[8,2,1,3,4,5,7,6]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[1,4,2,3,5,8,7,6]=>[1,4,3,2,5,8,7,6]=>[8,5,6,7,4,1,2,3]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]
[1,5,2,3,4,8,7,6]=>[1,5,3,4,2,8,7,6]=>[8,4,6,5,7,1,2,3]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]
[1,6,5,2,3,8,7,4]=>[1,8,5,4,3,7,6,2]=>[8,1,4,5,6,2,3,7]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[1,7,4,2,8,6,5,3]=>[1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,7,6,5,2,8,4,3]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,7,5,2,8,4,3,6]=>[1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,7,5,6,2,8,3,4]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,5,8,3,2,4,7,6]=>[1,6,8,5,4,2,7,3]=>[8,3,1,4,5,7,2,6]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]
[1,6,5,2,3,7,8,4]=>[1,8,5,4,3,6,7,2]=>[8,1,4,5,6,3,2,7]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[1,6,8,4,2,3,7,5]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,7,4,6,2,8,3,5]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,7,3,5,2,8,4,6]=>[1,8,5,7,3,6,4,2]=>[8,1,4,2,6,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,6,8,5,2,3,7,4]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,6,4,2,3,7,8,5]=>[1,8,5,4,3,6,7,2]=>[8,1,4,5,6,3,2,7]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[1,5,8,6,2,4,7,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,5,7,3,2,4,8,6]=>[1,6,8,5,4,2,7,3]=>[8,3,1,4,5,7,2,6]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]
[1,7,3,4,2,8,5,6]=>[1,8,5,4,3,7,6,2]=>[8,1,4,5,6,2,3,7]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[1,7,4,2,8,5,3,6]=>[1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,7,6,4,2,8,5,3]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,7,5,2,8,6,4,3]=>[1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,6,4,2,3,8,7,5]=>[1,8,5,4,3,7,6,2]=>[8,1,4,5,6,2,3,7]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[7,3,5,6,1,4,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,7,5,6,1,4,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,2,4,1,6,7,5,3]=>[8,4,7,2,6,5,3,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,6,1,4,2,7,5,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,6,1,4,2,8,5,7]=>[5,7,3,4,1,8,2,6]=>[4,2,6,5,8,1,7,3]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]
[3,5,4,1,6,7,8,2]=>[8,4,3,2,5,6,7,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,[.,[.,.]]],.],.],[.,.]]]
[3,1,4,7,6,5,8,2]=>[8,2,3,6,5,4,7,1]=>[1,7,6,3,4,5,2,8]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,4,1,3,7,2,5,6]=>[8,6,3,4,7,2,5,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[4,7,1,3,8,2,5,6]=>[6,8,3,4,7,1,5,2]=>[3,1,6,5,2,8,4,7]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[7,4,1,3,8,2,5,6]=>[8,6,3,4,7,2,5,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[1,3,6,4,2,8,5,7]=>[1,5,7,4,2,8,3,6]=>[8,4,2,5,7,1,6,3]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]
[4,7,3,1,2,8,5,6]=>[5,8,4,3,1,7,6,2]=>[4,1,5,6,8,2,3,7]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,8,6,4,2,7,5,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,8,1,3,7,2,5,6]=>[6,8,3,4,7,1,5,2]=>[3,1,6,5,2,8,4,7]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[8,7,1,3,6,2,5,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,8,5,7,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,8,4,3,7,2,5,6]=>[1,8,6,4,7,3,5,2]=>[8,1,3,5,2,6,4,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[2,8,3,4,7,6,1,5]=>[7,8,3,4,6,5,1,2]=>[2,1,6,5,3,4,8,7]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]
[3,7,8,4,6,2,1,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[2,4,3,7,8,6,1,5]=>[7,3,2,8,6,5,1,4]=>[2,6,7,1,3,4,8,5]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]
[1,4,7,3,8,2,5,6]=>[1,6,8,4,7,2,5,3]=>[8,3,1,5,2,7,4,6]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[5,7,6,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,5,3,4,8,6,1,7]=>[7,4,3,2,8,6,1,5]=>[2,5,6,7,1,3,8,4]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]
[4,1,7,3,8,2,5,6]=>[6,2,8,4,7,1,5,3]=>[3,7,1,5,2,8,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[8,1,4,3,7,2,5,6]=>[8,2,6,4,7,3,5,1]=>[1,7,3,5,2,6,4,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[4,2,3,7,8,6,1,5]=>[7,3,2,8,6,5,1,4]=>[2,6,7,1,3,4,8,5]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]
[5,2,3,4,8,6,1,7]=>[7,4,3,2,8,6,1,5]=>[2,5,6,7,1,3,8,4]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]
[2,7,5,6,3,8,1,4]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[5,7,2,6,3,8,1,4]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,2,3,8,7,6,1,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,2,3,7,5,6,1,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,1,8,3,7,2,5,4]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,7,8,4,2,6,5,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,1,8,2,5,6,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,7,4,8,5,2,1,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[1,4,8,3,6,2,5,7]=>[1,6,8,4,7,2,5,3]=>[8,3,1,5,2,7,4,6]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[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]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,7,4,6,5,8,2,3]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[3,7,4,6,5,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,5,4,8,6,7,1,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[1,6,2,7,5,8,3,4]=>[1,8,3,7,5,6,4,2]=>[8,1,6,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,6,4,8,5,7,2,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,4,6,5,7,2,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,5,4,8,6,7,2,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,8,1,5,4,6,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,8,1,5,2,4,3,6]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,8,2,6,5,7,3,4]=>[1,8,3,7,6,5,4,2]=>[8,1,6,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,7,2,8,5,6,3,4]=>[1,8,3,7,6,5,4,2]=>[8,1,6,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,7,2,6,5,8,3,4]=>[1,8,3,7,5,6,4,2]=>[8,1,6,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,5,2,7,6,8,3,4]=>[1,8,3,7,5,6,4,2]=>[8,1,6,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,7,6,8,2,5,3,4]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,7,6,8,4,5,2,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[8,6,7,1,2,3,4,5]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]
[1,7,6,8,2,4,3,5]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,8,1,6,2,4,3,5]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,8,6,7,2,4,3,5]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,8,1,4,2,6,3,5]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,8,1,4,2,5,3,6]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,8,2,1,4,3,6,5]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[4,3,6,5,8,7,1,2]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[3,4,1,5,6,7,8,9,2]=>[9,3,2,4,5,6,7,8,1]=>[1,7,8,6,5,4,3,2,9]=>[.,[[[[[[.,[.,.]],.],.],.],.],[.,.]]]
[1,6,2,3,8,7,4,5]=>[1,8,3,4,7,6,5,2]=>[8,1,6,5,2,3,4,7]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[1,7,4,3,2,8,6,5]=>[1,8,5,4,3,7,6,2]=>[8,1,4,5,6,2,3,7]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[1,2,6,5,3,7,4,8]=>[1,2,7,5,4,6,3,8]=>[8,7,2,4,5,3,6,1]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]
[1,2,6,5,3,7,8,4]=>[1,2,8,5,4,6,7,3]=>[8,7,1,4,5,3,2,6]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]
[1,3,7,5,2,6,8,4]=>[1,5,8,6,2,4,7,3]=>[8,4,1,3,7,5,2,6]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]
[1,3,7,4,2,6,8,5]=>[1,5,8,4,2,6,7,3]=>[8,4,1,5,7,3,2,6]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]
[1,2,6,4,3,7,8,5]=>[1,2,8,5,4,6,7,3]=>[8,7,1,4,5,3,2,6]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]
[1,2,6,4,3,7,5,8]=>[1,2,7,5,4,6,3,8]=>[8,7,2,4,5,3,6,1]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]
[1,4,7,3,2,5,8,6]=>[1,5,8,4,2,6,7,3]=>[8,4,1,5,7,3,2,6]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]
[1,4,3,2,5,8,6,7]=>[1,4,3,2,5,8,7,6]=>[8,5,6,7,4,1,2,3]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]
[1,5,3,2,4,8,6,7]=>[1,5,4,3,2,8,7,6]=>[8,4,5,6,7,1,2,3]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]
[1,7,5,3,2,8,6,4]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,5,3,2,4,8,7,6]=>[1,5,4,3,2,8,7,6]=>[8,4,5,6,7,1,2,3]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]
[7,6,5,4,3,1,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[1,3,4,5,6,7,8,2,9]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]]
[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]=>[1,3,4,5,6,7,8,9,2,10]=>[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]]
[7,1,5,4,3,8,6,2]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[3,6,5,4,8,1,7,2]=>[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[6,8,1,4,3,2,7,5]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,8,5,4,3,7,1,6]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[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]=>[[.,.],[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]
[4,6,5,8,3,1,7,2]=>[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[6,8,5,1,3,2,7,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,8,2,4,3,7,6,5]=>[1,8,3,5,4,7,6,2]=>[8,1,6,4,5,2,3,7]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[7,6,5,1,3,8,4,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[1,6,3,4,8,7,5,2]=>[1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,4,5,8,3,7,6,2]=>[1,8,5,7,3,6,4,2]=>[8,1,4,2,6,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[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]=>[8,1,2,5,4,3,6,7]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[6,8,2,4,3,7,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,8,3,4,7,2,6,5]=>[1,8,6,4,7,3,5,2]=>[8,1,3,5,2,6,4,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[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]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[2,10,7,6,5,4,3,9,1,8]=>[9,10,7,6,5,4,3,8,1,2]=>[2,1,4,5,6,7,8,3,10,9]=>[[.,.],[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]]
[5,1,7,6,8,4,3,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[6,4,5,8,1,2,7,3]=>[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[7,4,6,5,2,1,8,3]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[5,1,2,8,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[5,1,8,7,4,2,3,6]=>[7,2,8,6,5,4,1,3]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[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]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[6,1,4,5,3,2,8,7]=>[6,2,5,4,3,1,8,7]=>[3,7,4,5,6,8,1,2]=>[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]
[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]=>[3,1,6,5,4,8,2,7]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]
[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]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[6,3,7,2,4,8,5,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[2,5,3,7,4,1,8,6]=>[6,5,3,8,2,1,7,4]=>[3,4,6,1,7,8,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[3,6,4,7,5,1,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[8,1,7,4,2,5,6,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,3,6,5,2,7,4,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[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]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[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]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[4,1,7,2,8,5,6,3]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[2,4,8,7,3,5,6,1]=>[8,5,7,6,2,4,3,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[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]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,1,8,5,2,7,4,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,2,1,6,4,7,5,3]=>[8,3,2,7,6,5,4,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[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]=>[2,1,6,5,3,4,8,7]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]
[5,1,6,8,4,7,2,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,6,4,1,2,3,8,5]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[2,6,4,8,5,3,7,1]=>[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[4,7,1,2,8,3,5,6]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[3,8,1,7,2,5,6,4]=>[5,8,3,7,1,6,4,2]=>[4,1,6,2,8,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[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]=>[2,5,1,7,3,4,8,6]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[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]=>[4,1,6,2,8,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[8,1,2,7,3,5,6,4]=>[8,2,3,7,5,6,4,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[5,3,8,6,2,1,4,7]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[4,6,5,2,8,3,1,7]=>[7,6,4,3,8,2,1,5]=>[2,3,5,6,1,7,8,4]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[4,3,7,5,1,8,2,6]=>[7,5,8,4,2,6,1,3]=>[2,4,1,5,7,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,8,1,2,4,5,3,7]=>[7,8,3,4,6,5,1,2]=>[2,1,6,5,3,4,8,7]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]
[8,1,6,2,4,5,3,7]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[3,8,6,1,2,5,4,7]=>[5,8,7,4,1,6,3,2]=>[4,1,2,5,8,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[5,8,1,6,2,3,4,7]=>[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[4,3,8,6,2,5,1,7]=>[7,5,8,6,2,4,1,3]=>[2,4,1,3,7,5,8,6]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[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]=>[2,7,3,1,4,6,8,5]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]
[2,7,5,4,3,8,1,6]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[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]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[7,1,5,3,4,8,2,6]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[2,8,6,1,7,4,5,3]=>[4,8,7,1,6,5,3,2]=>[5,1,2,8,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,5,4,3,1,6,7,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[1,5,8,6,3,4,7,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[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]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[7,2,8,1,3,6,4,5]=>[8,4,7,2,5,6,3,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[1,8,5,2,3,6,7,4]=>[1,8,7,4,5,6,3,2]=>[8,1,2,5,4,3,6,7]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[8,2,3,1,5,6,7,4]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[1,4,8,2,3,6,7,5]=>[1,5,8,4,2,7,6,3]=>[8,4,1,5,7,2,3,6]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]
[3,1,2,7,8,6,4,5]=>[3,2,1,8,7,6,5,4]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[7,5,1,8,2,4,3,6]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,5,8,1,2,4,7,6]=>[5,6,8,4,1,2,7,3]=>[4,3,1,5,8,7,2,6]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]
[4,5,8,1,2,3,7,6]=>[6,5,8,4,2,1,7,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[4,2,7,1,8,6,3,5]=>[7,4,8,2,6,5,1,3]=>[2,5,1,7,3,4,8,6]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[3,8,4,1,2,6,7,5]=>[5,8,4,3,1,7,6,2]=>[4,1,5,6,8,2,3,7]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[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]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[2,4,3,7,1,8,5,6]=>[5,3,2,8,1,7,6,4]=>[4,6,7,1,8,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[1,4,7,3,2,8,5,6]=>[1,5,8,4,2,7,6,3]=>[8,4,1,5,7,2,3,6]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]
[2,7,1,4,3,8,5,6]=>[3,8,1,5,4,7,6,2]=>[6,1,8,4,5,2,3,7]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[2,4,1,8,6,3,7,5]=>[3,6,1,8,7,2,5,4]=>[6,3,8,1,2,7,4,5]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]
[8,4,1,3,6,2,7,5]=>[8,6,3,4,7,2,5,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[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]=>[3,1,6,2,4,8,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[8,2,5,6,1,4,7,3]=>[8,5,7,6,2,4,3,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[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]=>[6,1,8,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[6,1,5,3,8,7,2,4]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,6,1,5,8,2,3,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,6,8,5,1,2,7,4]=>[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[6,5,2,4,8,1,7,3]=>[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[5,1,4,8,2,6,7,3]=>[8,2,5,7,3,6,4,1]=>[1,7,4,2,6,3,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[4,8,2,5,1,6,7,3]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[1,5,4,8,2,6,7,3]=>[1,8,5,7,3,6,4,2]=>[8,1,4,2,6,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[7,2,1,5,8,6,3,4]=>[8,3,2,7,6,5,4,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[2,8,4,5,1,6,7,3]=>[5,8,7,4,1,6,3,2]=>[4,1,2,5,8,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[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]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[6,3,4,8,5,1,7,2]=>[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[5,3,4,8,1,6,7,2]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[7,5,8,4,1,2,6,3]=>[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]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[7,5,1,6,8,2,4,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,5,4,1,8,2,7,3]=>[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[6,5,4,7,1,2,8,3]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,5,4,7,8,1,3,2]=>[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]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,5,3,1,8,4,2,7]=>[7,6,4,3,8,2,1,5]=>[2,3,5,6,1,7,8,4]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[7,5,1,4,8,3,2,6]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,1,6,4,7,3,5,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,5,1,4,8,3,6,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,5,3,7,1,4,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,4,3,1,5,8,7,2]=>[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[8,1,5,4,3,7,6,2]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[8,1,5,4,3,7,2,6]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[7,4,1,5,3,2,6,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,5,3,1,2,7,4,8]=>[7,5,4,3,2,6,1,8]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[6,5,3,8,1,4,2,7]=>[7,6,5,8,3,2,1,4]=>[2,3,4,1,6,7,8,5]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[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]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,1,7,2,5,4,6,3]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,6,1,2,5,4,8,3]=>[8,6,3,4,5,2,7,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[6,5,3,8,1,4,7,2]=>[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[8,1,6,4,2,5,7,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,4,3,1,5,2,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[6,4,3,1,5,7,2,8]=>[7,5,4,3,2,6,1,8]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[7,4,1,5,3,6,2,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[8,1,5,4,3,6,2,7]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[8,1,5,4,3,6,7,2]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,7,5,6,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,7,5,6,1,8,2,3]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,7,5,6,3,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,6,1,8,2,7,3,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,6,1,8,4,7,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,8,1,6,5,7,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,5,1,8,6,7,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[4,1,5,6,8,2,3,7]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[5,6,2,8,1,4,3,7]=>[7,6,5,8,3,2,1,4]=>[2,3,4,1,6,7,8,5]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[5,6,3,4,1,8,2,7]=>[7,5,4,3,2,8,1,6]=>[2,4,5,6,7,1,8,3]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[3,6,4,5,2,7,1,8]=>[7,5,4,3,2,6,1,8]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[3,6,4,5,1,8,2,7]=>[7,5,4,3,2,8,1,6]=>[2,4,5,6,7,1,8,3]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[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]=>[4,1,6,2,8,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[2,8,3,4,1,6,5,7]=>[5,8,3,4,1,7,6,2]=>[4,1,6,5,8,2,3,7]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,5,3,8,6,7,2,4]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,3,6,2,7,4,5]=>[1,8,5,7,3,6,4,2]=>[8,1,4,2,6,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,6,4,8,2,7,3,5]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,6,4,7,3,5,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[2,7,3,6,4,5,1,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[1,7,3,6,4,8,2,5]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,7,2,8,4,6,3,5]=>[1,8,3,7,6,5,4,2]=>[8,1,6,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,7,5,8,4,6,2,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,7,5,8,2,6,3,4]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,7,5,6,3,8,2,4]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[2,7,5,6,3,4,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,7,2,5,3,4,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,7,2,8,1,4,3,5]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[2,7,5,8,1,4,3,6]=>[5,8,7,6,1,4,3,2]=>[4,1,2,3,8,5,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[2,3,1,7,5,8,4,6]=>[3,2,1,8,7,6,5,4]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[2,3,1,8,4,7,5,6]=>[3,2,1,8,5,7,6,4]=>[6,7,8,1,4,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[7,8,2,3,1,6,4,5]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[4,1,2,3,8,5,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[2,8,1,4,3,7,5,6]=>[3,8,1,5,4,7,6,2]=>[6,1,8,4,5,2,3,7]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[3,7,2,5,4,6,1,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[4,5,2,7,3,6,1,8]=>[7,5,3,6,2,4,1,8]=>[2,4,6,3,7,5,8,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[4,5,1,8,2,7,3,6]=>[7,5,3,8,2,6,1,4]=>[2,4,6,1,7,3,8,5]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[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]=>[2,6,7,1,3,4,8,5]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]
[3,4,2,5,1,8,6,7]=>[5,3,2,4,1,8,7,6]=>[4,6,7,5,8,1,2,3]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]
[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]=>[4,1,6,2,8,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[4,5,2,8,1,6,3,7]=>[7,5,3,8,2,6,1,4]=>[2,4,6,1,7,3,8,5]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[7,1,5,8,4,6,2,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,6,1,8,3,5,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,6,1,3,8,5,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,7,1,5,2,3,6,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,5,2,3,1,7,6,4]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[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]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[8,4,3,1,2,7,6,5]=>[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[8,6,1,3,7,2,5,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[8,1,6,4,7,2,5,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,1,5,8,4,2,7,3]=>[8,2,6,7,5,3,4,1]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[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]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,7,3,1,2,4,6,5]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,3,2,1,4,7,6,5]=>[8,4,3,2,5,7,6,1]=>[1,5,6,7,4,2,3,8]=>[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]
[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]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[8,7,2,1,6,3,4,5]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[3,6,5,4,1,2,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[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]=>[4,3,5,6,8,7,1,2]=>[[[.,.],[.,[.,[[.,.],.]]]],[.,.]]
[6,2,1,5,3,4,8,7]=>[6,3,2,5,4,1,8,7]=>[3,6,7,4,5,8,1,2]=>[[.,[[.,[.,.]],[.,[.,.]]]],[.,.]]
[5,8,1,3,7,6,4,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,7,4,2,8,1,5,6]=>[6,8,4,3,7,1,5,2]=>[3,1,5,6,2,8,4,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,1,6,7,5,3,4,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,1,5,8,7,6,3,4]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,4,7,6,3,8,5]=>[2,1,6,8,5,3,7,4]=>[7,8,3,1,4,6,2,5]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]
[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]=>[3,7,6,1,4,8,2,5]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]
[8,5,1,6,3,2,7,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,3,7,1,5,2,8,4]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,2,6,8,4,7,5,1]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[7,4,3,8,2,1,5,6]=>[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[4,7,5,8,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,2,5,1,6,7,8,3]=>[8,4,3,2,5,6,7,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,[.,[.,.]]],.],.],[.,.]]]
[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]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[2,6,7,3,5,1,8,4]=>[6,8,5,4,3,1,7,2]=>[3,1,4,5,6,8,2,7]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[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]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,2,5,8,4,3,7,1]=>[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[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]=>[7,8,1,3,2,5,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[2,1,6,8,5,4,3,7]=>[2,1,7,8,6,5,3,4]=>[7,8,2,1,3,4,6,5]=>[[[.,[.,.]],.],[.,[.,[[.,.],.]]]]
[4,1,8,5,6,2,3,7]=>[7,2,8,6,5,4,1,3]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[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]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[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]=>[5,7,1,8,2,3,4,6]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[5,8,4,3,2,7,1,6]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[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]=>[7,8,1,4,5,2,3,6]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[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]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[5,8,2,4,3,1,6,7]=>[6,8,5,4,3,1,7,2]=>[3,1,4,5,6,8,2,7]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[1,4,8,2,6,3,5,7]=>[1,6,8,4,7,2,5,3]=>[8,3,1,5,2,7,4,6]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[1,2,3,8,4,5,7,6]=>[1,2,3,8,5,6,7,4]=>[8,7,6,1,4,3,2,5]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]
[1,3,8,2,6,4,5,7]=>[1,4,8,2,7,6,5,3]=>[8,5,1,7,2,3,4,6]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[1,5,7,2,3,6,4,8]=>[1,7,6,4,5,3,2,8]=>[8,2,3,5,4,6,7,1]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[1,2,3,8,4,6,7,5]=>[1,2,3,8,5,7,6,4]=>[8,7,6,1,4,2,3,5]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]
[1,7,8,2,3,6,4,5]=>[1,8,7,4,5,6,3,2]=>[8,1,2,5,4,3,6,7]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[1,6,7,8,2,3,5,4]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,7,8,2,5,3,6,4]=>[1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,7,8,2,4,5,3,6]=>[1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,2,8,3,6,4,5,7]=>[1,2,8,4,7,6,5,3]=>[8,7,1,5,2,3,4,6]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[1,8,2,3,6,4,5,7]=>[1,8,3,4,7,6,5,2]=>[8,1,6,5,2,3,4,7]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[1,2,7,8,3,6,4,5]=>[1,2,8,7,5,6,4,3]=>[8,7,1,2,4,3,5,6]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[1,5,2,7,8,3,6,4]=>[1,8,3,7,6,5,4,2]=>[8,1,6,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,7,8,2,4,3,6,5]=>[1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[7,6,3,1,5,2,4,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,7,3,1,5,2,8,4]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,3,6,1,5,2,4,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,4,6,5,1,2,3,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,7,5,4,1,2,8,3]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,6,7,4,1,8,2,3]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,5,7,4,1,2,8,3]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,4,7,5,1,2,8,3]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[5,4,7,6,1,8,2,3]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[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]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[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]=>[2,4,6,3,7,5,8,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[4,2,6,3,1,5,8,7]=>[5,4,6,2,1,3,8,7]=>[4,5,3,7,8,6,1,2]=>[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]
[2,5,3,1,6,4,8,7]=>[4,6,3,1,5,2,8,7]=>[5,3,6,8,4,7,1,2]=>[[[.,.],[[.,[.,.]],[.,.]]],[.,.]]
[2,5,3,7,6,4,1,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[2,6,5,3,7,4,1,8]=>[7,6,4,3,5,2,1,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[2,7,5,3,6,4,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[2,6,3,7,5,4,1,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[1,7,5,2,3,8,4,6]=>[1,8,7,4,5,6,3,2]=>[8,1,2,5,4,3,6,7]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[2,3,1,8,6,5,4,7]=>[3,2,1,8,7,6,5,4]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[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]=>[4,5,1,7,8,2,3,6]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[3,6,8,2,1,4,5,7]=>[5,7,8,4,1,6,2,3]=>[4,2,1,5,8,3,7,6]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]
[1,5,2,8,3,4,7,6]=>[1,6,3,8,5,2,7,4]=>[8,3,6,1,4,7,2,5]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[1,2,6,3,8,7,4,5]=>[1,2,8,4,7,6,5,3]=>[8,7,1,5,2,3,4,6]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[1,2,8,3,6,4,7,5]=>[1,2,8,4,7,6,5,3]=>[8,7,1,5,2,3,4,6]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[1,2,7,6,3,4,8,5]=>[1,2,8,6,5,4,7,3]=>[8,7,1,3,4,5,2,6]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]
[2,1,3,8,7,5,4,6]=>[2,1,3,8,7,6,5,4]=>[7,8,6,1,2,3,4,5]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]
[1,2,3,8,6,4,7,5]=>[1,2,3,8,7,6,5,4]=>[8,7,6,1,2,3,4,5]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[1,2,3,7,4,8,6,5]=>[1,2,3,8,5,7,6,4]=>[8,7,6,1,4,2,3,5]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]
[1,2,7,6,3,8,4,5]=>[1,2,8,7,5,6,4,3]=>[8,7,1,2,4,3,5,6]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[1,2,3,6,4,8,7,5]=>[1,2,3,8,5,7,6,4]=>[8,7,6,1,4,2,3,5]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]
[1,2,3,7,6,4,8,5]=>[1,2,3,8,6,5,7,4]=>[8,7,6,1,3,4,2,5]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]
[2,6,3,1,8,5,4,7]=>[4,7,3,1,8,6,2,5]=>[5,2,6,8,1,3,7,4]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]
[7,1,8,4,2,3,5,6]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,1,8,4,3,5,7,6]=>[2,1,8,5,4,6,7,3]=>[7,8,1,4,5,3,2,6]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[4,2,6,3,1,8,5,7]=>[5,4,7,2,1,8,3,6]=>[4,5,2,7,8,1,6,3]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]
[5,4,2,8,3,1,6,7]=>[6,5,3,8,2,1,7,4]=>[3,4,6,1,7,8,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[3,5,8,2,4,1,6,7]=>[6,5,8,4,2,1,7,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[2,5,4,8,3,1,6,7]=>[6,5,3,8,2,1,7,4]=>[3,4,6,1,7,8,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[4,2,1,8,3,5,7,6]=>[5,3,2,8,1,6,7,4]=>[4,6,7,1,8,3,2,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[1,8,7,4,2,3,5,6]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,2,8,6,3,7,4,5]=>[1,2,8,7,5,6,4,3]=>[8,7,1,2,4,3,5,6]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[1,2,7,3,8,6,4,5]=>[1,2,8,4,7,6,5,3]=>[8,7,1,5,2,3,4,6]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[1,2,3,8,4,7,6,5]=>[1,2,3,8,5,7,6,4]=>[8,7,6,1,4,2,3,5]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]
[1,2,7,3,4,8,6,5]=>[1,2,8,4,5,7,6,3]=>[8,7,1,5,4,2,3,6]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]
[1,2,6,3,8,4,7,5]=>[1,2,8,4,7,6,5,3]=>[8,7,1,5,2,3,4,6]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[1,5,2,3,8,7,4,6]=>[1,7,3,4,8,6,2,5]=>[8,2,6,5,1,3,7,4]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]
[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]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[1,8,4,2,7,3,5,6]=>[1,8,6,4,7,3,5,2]=>[8,1,3,5,2,6,4,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[1,2,8,6,3,4,7,5]=>[1,2,8,7,5,6,4,3]=>[8,7,1,2,4,3,5,6]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[1,2,7,3,8,4,6,5]=>[1,2,8,4,7,6,5,3]=>[8,7,1,5,2,3,4,6]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[1,2,3,8,7,4,6,5]=>[1,2,3,8,7,6,5,4]=>[8,7,6,1,2,3,4,5]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[1,2,3,8,7,6,4,5]=>[1,2,3,8,7,6,5,4]=>[8,7,6,1,2,3,4,5]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[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]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[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]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[3,4,8,6,1,2,5,7]=>[6,5,8,7,2,1,4,3]=>[3,4,1,2,7,8,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]
[2,4,3,8,1,6,5,7]=>[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]=>[6,1,8,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[2,3,8,1,6,5,7,4]=>[4,2,8,1,7,6,5,3]=>[5,7,1,8,2,3,4,6]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[2,4,8,1,3,5,7,6]=>[4,5,8,1,2,6,7,3]=>[5,4,1,8,7,3,2,6]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]
[3,5,7,6,1,2,4,8]=>[6,7,5,4,3,1,2,8]=>[3,2,4,5,6,8,7,1]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[3,5,7,6,2,4,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[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]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[3,8,5,7,2,1,6,4]=>[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[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]=>[3,2,4,5,6,8,7,1]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[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]=>[3,6,7,1,4,8,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[4,3,2,8,5,1,7,6]=>[6,3,2,8,5,1,7,4]=>[3,6,7,1,4,8,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[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]=>[3,6,7,1,4,8,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[3,2,4,8,6,1,5,7]=>[6,2,3,8,7,1,5,4]=>[3,7,6,1,2,8,4,5]=>[[.,[[.,.],.]],[.,[[.,.],[.,.]]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,3,8,5,1,2,6,7]=>[6,5,8,4,2,1,7,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[4,2,6,7,5,1,3,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[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]=>[2,4,6,1,7,3,8,5]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[3,5,1,7,4,6,2,8]=>[7,5,3,6,2,4,1,8]=>[2,4,6,3,7,5,8,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[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]=>[3,7,6,1,4,8,2,5]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]
[4,1,2,6,7,5,3,8]=>[7,2,3,6,5,4,1,8]=>[2,7,6,3,4,5,8,1]=>[[.,[[[.,.],.],[.,[.,[.,.]]]]],.]
[4,2,6,7,5,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[4,1,7,5,2,8,6,3]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[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]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,4,7,8,5,6,2,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,4,7,1,5,8,6,2]=>[8,4,7,2,5,6,3,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,8,1,3,5,7,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,8,1,6,5,4,2,7]=>[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[4,1,3,7,5,8,2,6]=>[7,2,3,8,5,6,1,4]=>[2,7,6,1,4,3,8,5]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[6,1,7,3,8,4,2,5]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,1,8,6,3,5,2,4]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,1,7,6,5,8,4,2]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,4,1,6,8,2,5,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,3,8,6,2,7,5,4]=>[1,5,8,7,2,6,4,3]=>[8,4,1,2,7,3,5,6]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[6,1,3,2,7,8,4,5]=>[8,2,4,3,7,6,5,1]=>[1,7,5,6,2,3,4,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[1,8,6,2,5,3,4,7]=>[1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,7,2,4,5,1,6,8]=>[6,7,3,4,5,1,2,8]=>[3,2,6,5,4,8,7,1]=>[[[.,.],[[[.,.],.],[[.,.],.]]],.]
[1,8,6,4,5,2,3,7]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,8,4,6,5,1,3,7]=>[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,2,1,3,7,5,6]=>[5,8,4,3,1,7,6,2]=>[4,1,5,6,8,2,3,7]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[6,4,1,2,7,5,8,3]=>[8,6,3,4,5,2,7,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[4,1,8,3,6,7,5,2]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,1,7,8,4,3,6,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,4,3,5,7,8,2,6]=>[1,7,3,4,8,6,2,5]=>[8,2,6,5,1,3,7,4]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]
[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]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[1,5,2,7,4,3,8,6]=>[1,6,3,8,5,2,7,4]=>[8,3,6,1,4,7,2,5]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,1,5,2,8,4,7,3]=>[8,2,6,4,7,3,5,1]=>[1,7,3,5,2,6,4,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[4,6,1,8,5,7,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,4,7,2,8,5,6,3]=>[1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,7,3,5,8,6,2,4]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,5,8,6,1,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,4,6,5,8,1,7,2]=>[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[6,8,1,5,7,2,3,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,1,2,5,8,6,3,4]=>[8,2,3,7,6,5,4,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[1,7,2,5,8,6,3,4]=>[1,8,3,7,6,5,4,2]=>[8,1,6,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,7,6,8,2,3,5,4]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[6,1,8,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[2,4,7,1,8,5,6,3]=>[4,8,7,1,6,5,3,2]=>[5,1,2,8,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[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]=>[8,7,1,2,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[3,7,6,8,2,1,5,4]=>[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,3,7,6,8,1,5,4]=>[6,2,8,7,5,1,4,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,1,7,6,8,2,5,4]=>[6,2,8,7,5,1,4,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[3,7,6,8,1,2,5,4]=>[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[1,3,7,6,8,2,5,4]=>[1,6,8,7,5,2,4,3]=>[8,3,1,2,4,7,5,6]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]
[1,7,4,2,6,8,5,3]=>[1,8,7,4,5,6,3,2]=>[8,1,2,5,4,3,6,7]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[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]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,1,8,2,5,4,6,3]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[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]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,1,6,8,5,4,2,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,1,2,6,8,5,4,3]=>[8,2,3,7,6,5,4,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[1,7,2,6,8,5,4,3]=>[1,8,3,7,6,5,4,2]=>[8,1,6,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,7,6,8,3,2,5,4]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[2,7,1,6,8,5,4,3]=>[3,8,1,7,6,5,4,2]=>[6,1,8,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,2,1,6,8,5,4,3]=>[8,3,2,7,6,5,4,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[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]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[8,1,5,6,7,2,4,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,4,5,1,8,2,7,3]=>[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[5,4,6,7,1,2,8,3]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,3,6,7,2,1,5,8]=>[6,5,7,4,2,1,3,8]=>[3,4,2,5,7,8,6,1]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[5,3,6,7,1,4,2,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,1,4,6,7,3,2,5]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,3,6,7,4,5,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,2,1,6,8,4,5,3]=>[8,3,2,7,6,5,4,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[5,2,6,7,1,4,8,3]=>[8,5,6,4,2,3,7,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[4,2,6,7,3,1,8,5]=>[6,5,8,4,2,1,7,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[6,2,4,1,5,8,7,3]=>[8,4,5,2,3,7,6,1]=>[1,5,4,7,6,2,3,8]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[8,1,4,5,3,7,2,6]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[6,3,4,1,5,8,2,7]=>[7,5,4,3,2,8,1,6]=>[2,4,5,6,7,1,8,3]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[5,3,4,2,1,8,6,7]=>[5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[4,3,5,2,7,1,6,8]=>[6,4,3,2,7,1,5,8]=>[3,5,6,7,2,8,4,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[5,6,3,8,1,4,2,7]=>[7,6,5,8,3,2,1,4]=>[2,3,4,1,6,7,8,5]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[8,1,7,2,4,5,6,3]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,6,1,2,4,5,8,3]=>[8,6,3,4,5,2,7,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[4,7,8,2,3,1,6,5]=>[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[5,6,2,8,1,4,7,3]=>[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[8,1,6,3,2,5,7,4]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[7,4,1,3,5,2,8,6]=>[8,6,3,4,5,2,7,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[5,4,2,3,1,6,8,7]=>[5,4,3,2,1,6,8,7]=>[4,5,6,7,8,3,1,2]=>[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]]
[7,3,1,4,5,6,2,8]=>[7,6,3,4,5,2,1,8]=>[2,3,6,5,4,7,8,1]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[8,1,4,3,5,6,2,7]=>[8,2,7,4,5,6,3,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[6,2,3,1,5,7,8,4]=>[8,4,3,2,5,6,7,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,[.,[.,.]]],.],.],[.,.]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,2,3,4,7,8,1,5]=>[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,2,3,7,8,5,1,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,2,6,3,8,1,7,4]=>[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[6,3,2,8,4,7,1,5]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,3,2,5,7,8,1,4]=>[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[2,3,4,1,6,7,8,5]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[4,6,8,5,3,2,1,7]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[5,6,1,4,2,3,7,8]=>[6,5,3,4,2,1,7,8]=>[3,4,6,5,7,8,2,1]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[5,6,8,4,3,7,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,2,8,3,4,1,7,6]=>[6,5,8,4,2,1,7,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[4,5,8,6,3,2,1,7]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[4,6,5,8,3,2,1,7]=>[7,6,5,8,3,2,1,4]=>[2,3,4,1,6,7,8,5]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[4,7,5,6,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,1,4,3,6,2,8,7]=>[6,2,4,3,5,1,8,7]=>[3,7,5,6,4,8,1,2]=>[[.,[[[.,.],[.,.]],[.,.]]],[.,.]]
[5,6,2,4,1,8,7,3]=>[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[5,7,2,4,1,8,6,3]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,1,4,2,8,7,5,3]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,1,4,2,7,8,5,3]=>[8,2,7,4,5,6,3,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[5,8,2,4,1,7,6,3]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,2,7,4,1,6,8,3]=>[8,5,6,4,2,3,7,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[5,4,1,3,7,2,6,8]=>[6,4,3,2,7,1,5,8]=>[3,5,6,7,2,8,4,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[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]=>[3,1,6,4,5,8,2,7]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[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]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[5,4,8,7,3,2,1,6]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[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]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[5,8,1,3,4,2,6,7]=>[6,8,3,5,4,1,7,2]=>[3,1,6,4,5,8,2,7]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[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]=>[8,2,1,3,4,5,7,6]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[4,3,8,7,2,5,1,6]=>[7,5,8,6,2,4,1,3]=>[2,4,1,3,7,5,8,6]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,8,1,7,4,2,3,6]=>[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[6,8,1,2,4,3,5,7]=>[7,8,3,4,6,5,1,2]=>[2,1,6,5,3,4,8,7]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]
[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]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[1,4,8,3,7,5,6,2]=>[1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,4,3,8,2,6,5,7]=>[1,5,3,8,2,7,6,4]=>[8,4,6,1,7,2,3,5]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[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]=>[4,7,6,1,8,2,3,5]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]
[4,1,8,3,7,5,6,2]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[4,1,8,7,3,5,2,6]=>[7,2,8,6,5,4,1,3]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[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]=>[2,4,1,3,7,5,8,6]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[3,4,8,2,7,5,6,1]=>[8,4,7,2,6,5,3,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[1,2,4,8,3,6,5,7]=>[1,2,5,8,3,7,6,4]=>[8,7,4,1,6,2,3,5]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]
[1,2,4,3,8,6,5,7]=>[1,2,4,3,8,7,6,5]=>[8,7,5,6,1,2,3,4]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]
[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]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[4,1,2,8,3,6,5,7]=>[5,2,3,8,1,7,6,4]=>[4,7,6,1,8,2,3,5]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]
[1,4,3,2,8,6,5,7]=>[1,4,3,2,8,7,6,5]=>[8,5,6,7,1,2,3,4]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]
[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]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[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]=>[8,2,1,3,4,5,7,6]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[4,3,7,8,5,2,1,6]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[3,7,2,8,4,6,5,1]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,3,4,8,2,6,5,7]=>[1,5,3,8,2,7,6,4]=>[8,4,6,1,7,2,3,5]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[3,2,4,8,1,6,5,7]=>[5,2,3,8,1,7,6,4]=>[4,7,6,1,8,2,3,5]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,3,2,8,4,6,5,1]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[8,5,6,7,1,2,3,4]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]
[1,3,2,4,8,6,5,7]=>[1,3,2,4,8,7,6,5]=>[8,6,7,5,1,2,3,4]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]
[3,2,1,4,8,6,5,7]=>[3,2,1,4,8,7,6,5]=>[6,7,8,5,1,2,3,4]=>[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]
[3,1,2,4,8,6,5,7]=>[3,2,1,4,8,7,6,5]=>[6,7,8,5,1,2,3,4]=>[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]
[3,1,4,2,8,6,5,7]=>[4,2,3,1,8,7,6,5]=>[5,7,6,8,1,2,3,4]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]
[3,1,4,8,2,6,5,7]=>[5,2,3,8,1,7,6,4]=>[4,7,6,1,8,2,3,5]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]
[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]=>[6,7,8,5,1,2,3,4]=>[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]
[2,1,3,4,8,6,5,7]=>[2,1,3,4,8,7,6,5]=>[7,8,6,5,1,2,3,4]=>[[[[.,[.,.]],.],.],[.,[.,[.,.]]]]
[1,2,3,4,8,6,5,7]=>[1,2,3,4,8,7,6,5]=>[8,7,6,5,1,2,3,4]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]
[4,8,3,6,2,1,5,7]=>[6,8,5,7,3,1,4,2]=>[3,1,4,2,6,8,5,7]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[3,6,5,8,2,4,1,7]=>[7,6,5,8,3,2,1,4]=>[2,3,4,1,6,7,8,5]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[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]=>[2,4,6,1,7,3,8,5]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[6,2,4,5,8,3,1,7]=>[7,6,4,3,8,2,1,5]=>[2,3,5,6,1,7,8,4]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[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]=>[1,7,4,2,6,3,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[5,2,1,6,3,8,4,7]=>[7,3,2,5,4,8,1,6]=>[2,6,7,4,5,1,8,3]=>[[.,[[.,[.,.]],[.,.]]],[[.,.],.]]
[6,2,5,1,8,4,3,7]=>[7,4,6,2,8,3,1,5]=>[2,5,3,7,1,6,8,4]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]
[3,6,1,5,8,4,2,7]=>[7,6,3,4,8,2,1,5]=>[2,3,6,5,1,7,8,4]=>[[.,[.,[[.,.],.]]],[[.,[.,.]],.]]
[5,6,4,8,1,3,2,7]=>[7,6,5,8,3,2,1,4]=>[2,3,4,1,6,7,8,5]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[6,5,4,3,8,2,1,7]=>[7,6,4,3,8,2,1,5]=>[2,3,5,6,1,7,8,4]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[5,4,3,7,2,8,1,6]=>[7,5,3,8,2,6,1,4]=>[2,4,6,1,7,3,8,5]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[1,4,3,6,2,7,8,5]=>[1,5,3,8,2,6,7,4]=>[8,4,6,1,7,3,2,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[1,5,4,3,7,2,8,6]=>[1,6,4,3,8,2,7,5]=>[8,3,5,6,1,7,2,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[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]=>[3,1,4,5,6,8,2,7]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[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]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[3,2,6,8,5,7,4,1]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,1,7,5,2,8,4,6]=>[5,2,8,7,1,6,4,3]=>[4,7,1,2,8,3,5,6]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[2,5,7,4,1,8,3,6]=>[5,7,8,4,1,6,2,3]=>[4,2,1,5,8,3,7,6]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]
[4,2,6,1,7,8,3,5]=>[7,4,8,2,5,6,1,3]=>[2,5,1,7,4,3,8,6]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[4,2,7,6,3,8,1,5]=>[7,5,8,4,2,6,1,3]=>[2,4,1,5,7,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,2,7,4,1,6,8,5]=>[5,2,8,4,1,6,7,3]=>[4,7,1,5,8,3,2,6]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[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]=>[3,1,6,2,4,8,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[4,2,1,3,7,5,8,6]=>[4,3,2,1,8,6,7,5]=>[5,6,7,8,1,3,2,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[8,1,3,7,4,2,6,5]=>[8,2,6,7,5,3,4,1]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[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]=>[3,1,6,2,4,8,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[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]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,2,8,1,5,7,4,3]=>[8,4,7,2,6,5,3,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[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]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[1,2,7,8,5,6,4,3]=>[1,2,8,7,6,5,4,3]=>[8,7,1,2,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[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]=>[4,1,6,2,8,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[8,2,1,7,6,5,4,3]=>[8,3,2,7,6,5,4,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[8,1,4,7,6,5,3,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[3,1,4,5,6,8,2,7]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[6,4,7,3,2,1,8,5]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,4,7,3,2,1,6,8]=>[6,5,7,4,2,1,3,8]=>[3,4,2,5,7,8,6,1]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[6,5,3,7,2,1,4,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[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]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[3,8,7,6,2,1,4,5]=>[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[4,8,7,2,5,1,3,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[4,3,7,2,5,1,8,6]=>[6,4,8,2,5,1,7,3]=>[3,5,1,7,4,8,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[6,4,2,7,5,1,3,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,3,2,7,5,1,4,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[5,3,2,6,7,1,4,8]=>[7,6,3,4,5,2,1,8]=>[2,3,6,5,4,7,8,1]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[3,8,2,6,5,1,4,7]=>[6,8,3,7,5,1,4,2]=>[3,1,6,2,4,8,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[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]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[2,8,7,6,5,1,3,4]=>[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[6,4,7,3,1,5,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,4,3,7,1,5,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,4,3,6,1,8,7,2]=>[8,5,3,4,2,7,6,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,3,7,6,1,5,8,2]=>[8,5,6,4,2,3,7,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[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]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[6,4,7,2,1,5,3,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[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]=>[3,1,4,5,6,8,2,7]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[5,3,7,2,1,4,8,6]=>[6,5,8,4,2,1,7,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[3,8,7,2,1,4,5,6]=>[5,8,7,4,1,6,3,2]=>[4,1,2,5,8,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[6,5,2,7,1,4,3,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[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]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,3,2,6,1,5,8,7]=>[5,3,2,6,1,4,8,7]=>[4,6,7,3,8,5,1,2]=>[[[.,[.,[.,.]]],[[.,.],.]],[.,.]]
[6,2,7,8,1,4,3,5]=>[8,5,7,6,2,4,3,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[3,2,7,6,1,4,5,8]=>[5,2,7,6,1,4,3,8]=>[4,7,2,3,8,5,6,1]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,4,7,1,6,8,3,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,8,7,1,5,6,3,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,4,3,1,6,8,7,2]=>[8,4,3,2,5,7,6,1]=>[1,5,6,7,4,2,3,8]=>[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]
[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]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]
[3,8,2,1,5,4,6,7]=>[4,8,3,1,6,5,7,2]=>[5,1,6,8,3,4,2,7]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]
[3,2,7,1,5,4,6,8]=>[4,2,7,1,6,5,3,8]=>[5,7,2,8,3,4,6,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[2,8,7,1,5,4,3,6]=>[4,8,7,1,6,5,3,2]=>[5,1,2,8,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[6,5,1,7,8,4,3,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,8,1,6,7,4,3,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,3,1,6,7,4,8,2]=>[8,6,3,4,5,2,7,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[4,3,1,6,5,7,8,2]=>[8,3,2,5,4,6,7,1]=>[1,6,7,4,5,3,2,8]=>[.,[[[[.,[.,.]],[.,.]],.],[.,.]]]
[3,8,1,6,5,4,7,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,8,1,6,5,4,3,7]=>[3,8,1,7,6,5,4,2]=>[6,1,8,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[6,1,7,8,5,4,3,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,1,7,6,5,8,3,2]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[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]=>[2,4,1,5,7,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[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]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[3,4,5,6,8,1,7,2]=>[8,6,3,4,7,2,5,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,4,5,7,8,1,6,3]=>[6,8,3,7,5,1,4,2]=>[3,1,6,2,4,8,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,6,8,7,2,1,5,4]=>[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,3,6,7,8,1,5,4]=>[6,2,8,7,5,1,4,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[3,6,8,1,2,5,4,7]=>[5,7,8,4,1,6,2,3]=>[4,2,1,5,8,3,7,6]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]
[1,3,6,7,2,5,4,8]=>[1,5,7,6,2,4,3,8]=>[8,4,2,3,7,5,6,1]=>[[[[.,.],.],[.,[[.,.],[.,.]]]],.]
[7,4,1,8,5,2,3,6]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,1,4,2,8,3,6,5]=>[8,2,6,4,7,3,5,1]=>[1,7,3,5,2,6,4,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[7,1,8,2,5,3,6,4]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,1,7,5,4,2,3,6]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,7,2,6,5,4,3,8]=>[1,7,3,6,5,4,2,8]=>[8,2,6,3,4,5,7,1]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,1,7,6,3,2,4,5]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[2,7,8,1,6,5,4,3]=>[4,8,7,1,6,5,3,2]=>[5,1,2,8,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[7,3,1,8,6,5,4,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,1,5,2,7,4,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,5,1,7,4,2,6,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,1,7,5,4,3,8,6]=>[2,1,8,6,5,4,7,3]=>[7,8,1,3,4,5,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[2,1,8,4,5,3,6,7]=>[2,1,8,6,5,4,7,3]=>[7,8,1,3,4,5,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[2,1,8,5,7,6,3,4]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,4,8,5,7,3,6]=>[2,1,7,8,5,6,3,4]=>[7,8,2,1,4,3,6,5]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]
[2,1,5,4,6,8,3,7]=>[2,1,7,4,5,8,3,6]=>[7,8,2,5,4,1,6,3]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]
[8,5,3,1,6,2,4,7]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[2,3,6,1,4,7,8,5]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[4,2,6,3,8,5,1,7]=>[7,4,6,2,8,3,1,5]=>[2,5,3,7,1,6,8,4]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]
[4,6,3,2,7,8,1,5]=>[7,8,4,3,5,6,1,2]=>[2,1,5,6,4,3,8,7]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]
[3,8,2,4,7,5,1,6]=>[7,8,3,4,6,5,1,2]=>[2,1,6,5,3,4,8,7]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]
[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]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,3,2,4,1,7,5,6]=>[8,5,3,4,2,7,6,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[7,4,2,3,1,8,6,5]=>[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[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]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[5,7,1,8,3,6,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,8,1,4,5,3,2,7]=>[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,2,6,1,4,7,3,5]=>[8,4,7,2,6,5,3,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[5,8,1,6,3,7,4,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[2,6,3,5,1,4,8,7]=>[5,6,3,4,1,2,8,7]=>[4,3,6,5,8,7,1,2]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]
[2,7,8,5,1,6,4,3]=>[5,8,7,6,1,4,3,2]=>[4,1,2,3,8,5,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[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]=>[3,1,6,5,2,8,4,7]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[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]=>[3,7,1,5,2,8,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[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]=>[4,7,6,3,8,5,1,2]=>[[[.,[[.,.],.]],[[.,.],.]],[.,.]]
[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]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[2,3,8,4,6,7,1,5]=>[7,2,8,4,6,5,1,3]=>[2,7,1,5,3,4,8,6]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[2,4,3,5,8,7,1,6]=>[7,3,2,4,8,6,1,5]=>[2,6,7,5,1,3,8,4]=>[[.,[[.,[.,.]],.]],[.,[[.,.],.]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,3,5,7,8,6,2,4]=>[1,7,8,6,5,4,2,3]=>[8,2,1,3,4,5,7,6]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[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]=>[3,1,6,5,2,8,4,7]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[3,1,5,6,8,2,7,4]=>[6,2,8,4,7,1,5,3]=>[3,7,1,5,2,8,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[2,3,5,6,8,1,7,4]=>[6,2,8,4,7,1,5,3]=>[3,7,1,5,2,8,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[5,6,4,8,2,1,7,3]=>[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[5,1,6,3,8,4,7,2]=>[8,2,6,4,7,3,5,1]=>[1,7,3,5,2,6,4,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[2,5,1,6,8,3,7,4]=>[3,8,1,6,7,4,5,2]=>[6,1,8,3,2,5,4,7]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[5,1,2,6,8,3,7,4]=>[8,2,3,6,7,4,5,1]=>[1,7,6,3,2,5,4,8]=>[.,[[[[.,.],.],.],[[.,.],[.,.]]]]
[5,7,1,8,6,2,3,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,5,2,7,8,6,3,4]=>[1,8,3,7,6,5,4,2]=>[8,1,6,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,6,7,5,2,8,3,4]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[6,1,7,5,2,8,3,4]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[2,6,7,5,1,8,3,4]=>[5,8,7,4,1,6,3,2]=>[4,1,2,5,8,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,1,3,7,8,6,4,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[1,2,6,7,5,8,3,4]=>[1,2,8,7,5,6,4,3]=>[8,7,1,2,4,3,5,6]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[6,2,7,5,4,1,8,3]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,7,5,2,4,1,8,3]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,7,2,5,3,8,1,4]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,7,4,5,2,1,8,3]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,1,7,8,6,4,3,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,3,7,5,1,8,2,4]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[1,6,7,5,3,8,2,4]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[6,7,5,1,4,2,8,3]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[6,7,4,1,5,2,8,3]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[1,6,3,7,5,8,2,4]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[2,5,3,7,8,6,1,4]=>[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[6,7,5,4,2,1,8,3]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,7,4,2,5,1,8,3]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,2,7,4,5,1,8,3]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[2,6,7,4,1,8,3,5]=>[5,8,7,4,1,6,3,2]=>[4,1,2,5,8,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[2,6,7,4,1,8,5,3]=>[5,8,7,4,1,6,3,2]=>[4,1,2,5,8,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[3,6,5,1,8,4,7,2]=>[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[3,6,5,1,8,4,2,7]=>[7,6,4,3,8,2,1,5]=>[2,3,5,6,1,7,8,4]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[3,7,5,4,8,1,6,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,6,1,5,8,2,7,3]=>[8,6,3,4,7,2,5,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[4,6,1,5,8,2,3,7]=>[7,6,3,4,8,2,1,5]=>[2,3,6,5,1,7,8,4]=>[[.,[.,[[.,.],.]]],[[.,[.,.]],.]]
[4,7,1,5,8,3,6,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,3,4,7,8,1,6,5]=>[6,2,3,8,7,1,5,4]=>[3,7,6,1,2,8,4,5]=>[[.,[[.,.],.]],[.,[[.,.],[.,.]]]]
[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]=>[3,1,4,5,6,8,2,7]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[6,5,4,3,1,8,7,2]=>[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[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]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[3,5,6,2,1,8,4,7]=>[5,7,4,3,1,8,2,6]=>[4,2,5,6,8,1,7,3]=>[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]
[3,5,2,6,8,4,1,7]=>[7,6,3,4,8,2,1,5]=>[2,3,6,5,1,7,8,4]=>[[.,[.,[[.,.],.]]],[[.,[.,.]],.]]
[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]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[4,2,5,6,8,3,1,7]=>[7,6,3,4,8,2,1,5]=>[2,3,6,5,1,7,8,4]=>[[.,[.,[[.,.],.]]],[[.,[.,.]],.]]
[4,2,8,1,5,6,3,7]=>[7,4,8,2,5,6,1,3]=>[2,5,1,7,4,3,8,6]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[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]=>[2,3,4,1,6,7,8,5]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[4,5,6,8,1,3,2,7]=>[7,6,5,8,3,2,1,4]=>[2,3,4,1,6,7,8,5]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[1,4,5,6,8,3,2,7]=>[1,7,6,4,8,3,2,5]=>[8,2,3,5,1,6,7,4]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]
[4,5,6,3,8,2,1,7]=>[7,6,4,3,8,2,1,5]=>[2,3,5,6,1,7,8,4]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,1,7,3,8,4,2,6]=>[7,2,8,6,5,4,1,3]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[2,5,1,7,4,3,8,6]=>[3,6,1,8,5,2,7,4]=>[6,3,8,1,4,7,2,5]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[2,5,7,4,1,8,6,3]=>[5,8,7,4,1,6,3,2]=>[4,1,2,5,8,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[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]=>[1,7,2,5,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,6,3,7,4,8,5,2]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[6,7,2,4,1,8,5,3]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,7,2,1,4,3,8,5]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[6,4,7,3,1,2,8,5]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[2,6,4,7,3,1,8,5]=>[6,8,5,4,3,1,7,2]=>[3,1,4,5,6,8,2,7]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[4,1,5,6,8,2,3,7]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[1,3,7,8,6,4,2,5]=>[1,7,8,6,5,4,2,3]=>[8,2,1,3,4,5,7,6]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[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]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[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]=>[6,1,8,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[5,1,6,7,8,2,4,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,3,7,1,8,5,2,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,2,7,1,8,5,4,3]=>[8,4,7,2,6,5,3,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,3,1,7,8,5,4,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,1,3,6,8,2,5,7]=>[6,2,3,7,8,1,4,5]=>[3,7,6,2,1,8,5,4]=>[[[.,[[.,.],.]],.],[[[.,.],.],.]]
[4,2,3,6,8,1,5,7]=>[6,3,2,7,8,1,4,5]=>[3,6,7,2,1,8,5,4]=>[[[.,[.,[.,.]]],.],[[[.,.],.],.]]
[5,3,2,1,8,4,7,6]=>[6,4,3,2,8,1,7,5]=>[3,5,6,7,1,8,2,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[3,6,5,8,2,1,7,4]=>[6,8,5,7,3,1,4,2]=>[3,1,4,2,6,8,5,7]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[4,5,2,1,3,8,7,6]=>[5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[3,2,6,4,5,8,1,7]=>[7,2,5,4,3,8,1,6]=>[2,7,4,5,6,1,8,3]=>[[.,[[.,.],[.,[.,.]]]],[[.,.],.]]
[2,4,6,5,8,1,3,7]=>[6,7,4,3,8,1,2,5]=>[3,2,5,6,1,8,7,4]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]
[1,6,2,4,5,8,3,7]=>[1,7,3,5,4,8,2,6]=>[8,2,6,4,5,1,7,3]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]
[6,2,4,5,8,1,3,7]=>[7,6,4,3,8,2,1,5]=>[2,3,5,6,1,7,8,4]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[1,3,4,6,5,8,2,7]=>[1,7,3,5,4,8,2,6]=>[8,2,6,4,5,1,7,3]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]
[3,4,1,8,5,2,7,6]=>[6,3,2,8,5,1,7,4]=>[3,6,7,1,4,8,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[2,8,4,1,7,6,3,5]=>[4,8,7,1,6,5,3,2]=>[5,1,2,8,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[8,1,4,2,7,3,6,5]=>[8,2,6,4,7,3,5,1]=>[1,7,3,5,2,6,4,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[8,2,1,7,5,3,4,6]=>[8,3,2,7,6,5,4,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[1,7,6,4,5,8,3,2]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,1,3,5,6,8,7,2]=>[8,2,3,4,5,7,6,1]=>[1,7,6,5,4,2,3,8]=>[.,[[[[[.,.],.],.],.],[.,[.,.]]]]
[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]=>[3,1,4,2,6,8,5,7]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[2,3,5,8,6,7,1,4]=>[7,2,8,6,5,4,1,3]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[3,2,5,6,8,7,1,4]=>[7,2,8,4,6,5,1,3]=>[2,7,1,5,3,4,8,6]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[2,1,8,5,6,7,3,4]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[1,2,8,3,5,6,7,4]=>[1,2,8,4,7,6,5,3]=>[8,7,1,5,2,3,4,6]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[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]=>[3,7,1,5,2,8,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[8,2,1,6,7,3,4,5]=>[8,3,2,7,6,5,4,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[2,7,8,5,4,1,3,6]=>[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[1,7,5,3,8,4,2,6]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,5,3,1,2,8,6]=>[6,8,5,4,3,1,7,2]=>[3,1,4,5,6,8,2,7]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[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]=>[4,1,5,6,8,2,3,7]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[3,5,2,7,4,1,8,6]=>[6,5,3,8,2,1,7,4]=>[3,4,6,1,7,8,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[8,4,2,3,7,1,5,6]=>[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[2,8,4,7,1,3,5,6]=>[5,8,6,7,1,3,4,2]=>[4,1,3,2,8,6,5,7]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]
[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]=>[3,1,6,4,5,8,2,7]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[1,6,3,2,5,8,7,4]=>[1,8,4,3,5,7,6,2]=>[8,1,5,6,4,2,3,7]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]
[5,8,3,2,1,6,7,4]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,7,5,6,2,3,4,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[4,1,2,5,8,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,8,4,2,5,6,7,3]=>[1,8,7,4,5,6,3,2]=>[8,1,2,5,4,3,6,7]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[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]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[8,1,4,3,6,5,2,7]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[3,6,5,2,1,8,7,4]=>[5,8,4,3,1,7,6,2]=>[4,1,5,6,8,2,3,7]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[8,4,2,1,6,5,3,7]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[8,6,4,2,1,5,3,7]=>[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]=>[8,2,6,1,4,3,7,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[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]=>[8,2,6,1,4,3,7,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[2,6,5,1,3,8,7,4]=>[4,8,5,1,3,7,6,2]=>[5,1,4,8,6,2,3,7]=>[[.,.],[[.,[[.,.],.]],[.,[.,.]]]]
[5,4,8,7,6,3,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,5,3,8,4,7,1,2]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[5,4,2,1,6,8,7,3]=>[8,4,3,2,5,7,6,1]=>[1,5,6,7,4,2,3,8]=>[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]
[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]=>[1,7,5,6,2,3,4,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[5,3,1,2,8,6,7,4]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[5,2,3,1,6,8,7,4]=>[8,4,3,2,5,7,6,1]=>[1,5,6,7,4,2,3,8]=>[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]
[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]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,5,1,7,8,4,2,6]=>[7,6,3,8,5,2,1,4]=>[2,3,6,1,4,7,8,5]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[1,8,4,3,7,2,6,5]=>[1,8,6,4,7,3,5,2]=>[8,1,3,5,2,6,4,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[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]=>[2,4,1,5,7,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[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]=>[3,1,4,5,6,8,2,7]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[6,1,3,8,5,7,2,4]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[6,1,8,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,5,8,7,4,6,2,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,1,7,6,4,5,8,3]=>[2,1,8,6,5,4,7,3]=>[7,8,1,3,4,5,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[1,7,2,4,6,5,8,3]=>[1,8,3,6,5,4,7,2]=>[8,1,6,3,4,5,2,7]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[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]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[4,2,8,1,5,6,7,3]=>[8,4,7,2,5,6,3,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[3,4,5,1,6,8,7,2]=>[8,4,3,2,5,7,6,1]=>[1,5,6,7,4,2,3,8]=>[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]
[4,1,8,5,2,6,7,3]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[2,7,1,8,5,4,6,3]=>[3,8,1,7,6,5,4,2]=>[6,1,8,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[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]=>[1,5,2,7,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[4,6,3,5,8,1,7,2]=>[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[1,7,8,3,5,4,6,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[3,4,5,6,8,2,1,7]=>[7,6,3,4,8,2,1,5]=>[2,3,6,5,1,7,8,4]=>[[.,[.,[[.,.],.]]],[[.,[.,.]],.]]
[3,4,5,7,1,8,6,2]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[3,4,6,2,8,5,1,7]=>[7,4,6,2,8,3,1,5]=>[2,5,3,7,1,6,8,4]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]
[3,4,6,8,1,5,2,7]=>[7,5,6,8,2,3,1,4]=>[2,4,3,1,7,6,8,5]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]
[3,4,7,2,1,8,6,5]=>[5,4,8,2,1,7,6,3]=>[4,5,1,7,8,2,3,6]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[3,4,7,8,1,5,6,2]=>[8,5,7,6,2,4,3,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[3,5,2,6,7,8,1,4]=>[7,8,3,4,5,6,1,2]=>[2,1,6,5,4,3,8,7]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]
[3,5,2,8,4,1,6,7]=>[6,5,3,8,2,1,7,4]=>[3,4,6,1,7,8,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[3,5,6,2,8,4,1,7]=>[7,6,4,3,8,2,1,5]=>[2,3,5,6,1,7,8,4]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[3,5,6,8,4,1,2,7]=>[7,6,5,8,3,2,1,4]=>[2,3,4,1,6,7,8,5]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[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]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[3,6,2,1,8,5,4,7]=>[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,7,2,8,4,5,6,1]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[5,1,6,8,4,3,2,7]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]
[4,1,5,6,7,8,3,2]=>[8,2,7,4,5,6,3,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[4,1,5,7,3,8,6,2]=>[8,2,5,7,3,6,4,1]=>[1,7,4,2,6,3,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[4,1,6,3,7,8,5,2]=>[8,2,7,4,5,6,3,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[4,1,6,7,3,8,5,2]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[4,1,6,7,8,5,2,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,1,6,8,3,5,2,7]=>[7,2,6,8,5,3,1,4]=>[2,7,3,1,4,6,8,5]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]
[4,1,7,3,2,8,6,5]=>[5,2,8,4,1,7,6,3]=>[4,7,1,5,8,2,3,6]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[4,1,7,8,3,5,6,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,1,8,3,2,5,6,7]=>[5,2,8,4,1,6,7,3]=>[4,7,1,5,8,3,2,6]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[4,5,2,6,7,8,3,1]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[4,5,2,6,8,1,3,7]=>[7,6,3,4,8,2,1,5]=>[2,3,6,5,1,7,8,4]=>[[.,[.,[[.,.],.]]],[[.,[.,.]],.]]
[4,5,6,3,8,1,2,7]=>[7,6,4,3,8,2,1,5]=>[2,3,5,6,1,7,8,4]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[4,5,6,8,3,1,2,7]=>[7,6,5,8,3,2,1,4]=>[2,3,4,1,6,7,8,5]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[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]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[4,6,2,3,8,5,1,7]=>[7,6,4,3,8,2,1,5]=>[2,3,5,6,1,7,8,4]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[4,6,2,7,3,8,5,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,6,8,3,2,5,1,7]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[4,7,2,3,1,8,6,5]=>[5,8,4,3,1,7,6,2]=>[4,1,5,6,8,2,3,7]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,1,2,6,8,4,3,7]=>[7,2,3,6,8,4,1,5]=>[2,7,6,3,1,5,8,4]=>[[.,[[[.,.],.],.]],[[.,[.,.]],.]]
[5,1,2,7,4,8,6,3]=>[8,2,3,7,5,6,4,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[5,1,2,7,8,4,6,3]=>[8,2,3,7,6,5,4,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[5,1,2,8,4,3,6,7]=>[6,2,3,8,5,1,7,4]=>[3,7,6,1,4,8,2,5]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]
[5,1,6,7,4,8,2,3]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[5,1,6,7,8,4,2,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,6,2,3,8,4,1,7]=>[7,6,4,3,8,2,1,5]=>[2,3,5,6,1,7,8,4]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[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]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[5,7,2,3,4,8,6,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[3,1,4,5,6,8,2,7]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[6,1,2,3,8,5,4,7]=>[7,2,3,4,8,6,1,5]=>[2,7,6,5,1,3,8,4]=>[[.,[[[.,.],.],.]],[.,[[.,.],.]]]
[6,1,2,7,8,5,4,3]=>[8,2,3,7,6,5,4,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[6,1,2,8,4,5,3,7]=>[7,2,3,8,6,5,1,4]=>[2,7,6,1,3,4,8,5]=>[[.,[[.,.],.]],[.,[.,[[.,.],.]]]]
[6,1,7,3,4,8,5,2]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[6,1,7,3,8,5,4,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,1,7,8,4,5,3,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,1,8,3,4,5,2,7]=>[7,2,8,6,5,4,1,3]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,1,2,3,4,8,6,5]=>[8,2,3,4,5,7,6,1]=>[1,7,6,5,4,2,3,8]=>[.,[[[[[.,.],.],.],.],[.,[.,.]]]]
[7,1,2,8,4,5,6,3]=>[8,2,3,7,6,5,4,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[7,1,8,3,4,5,6,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,8,1,2,4,3,7,6]=>[6,8,3,4,5,1,7,2]=>[3,1,6,5,4,8,2,7]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]
[1,3,5,7,2,6,4,8]=>[1,5,7,6,2,4,3,8]=>[8,4,2,3,7,5,6,1]=>[[[[.,.],.],[.,[[.,.],[.,.]]]],.]
[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]=>[4,7,1,2,8,3,5,6]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[3,6,2,8,1,5,7,4]=>[5,8,3,7,1,6,4,2]=>[4,1,6,2,8,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[2,6,1,3,8,4,7,5]=>[3,8,1,4,7,6,5,2]=>[6,1,8,5,2,3,4,7]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[1,7,5,2,3,4,6,8]=>[1,7,6,4,5,3,2,8]=>[8,2,3,5,4,6,7,1]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[8,2,5,7,4,6,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,2,5,1,3,7,4,6]=>[8,4,7,2,5,6,3,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,8,1,5,3,2,4,7]=>[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[1,6,7,5,3,2,4,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[7,8,1,6,4,2,3,5]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,7,4,2,6,3,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,9,8,7,6,5,4,2,3]=>[1,9,8,7,6,5,4,3,2]=>[9,1,2,3,4,5,6,7,8]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[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]=>[3,1,6,2,4,8,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[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]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[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]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[6,3,7,1,5,8,4,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,5,1,8,4,3,7,6]=>[3,6,1,8,5,2,7,4]=>[6,3,8,1,4,7,2,5]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[6,2,5,4,8,1,3,7]=>[7,6,4,3,8,2,1,5]=>[2,3,5,6,1,7,8,4]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[4,3,1,6,5,8,2,7]=>[7,3,2,5,4,8,1,6]=>[2,6,7,4,5,1,8,3]=>[[.,[[.,[.,.]],[.,.]]],[[.,.],.]]
[6,1,3,4,5,8,2,7]=>[7,2,5,4,3,8,1,6]=>[2,7,4,5,6,1,8,3]=>[[.,[[.,.],[.,[.,.]]]],[[.,.],.]]
[8,3,4,1,5,2,7,6]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[7,5,4,2,6,8,3,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,2,6,4,1,7,3,5]=>[8,5,7,6,2,4,3,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[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]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,7,2,1,5,3,4,6]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[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]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[6,4,7,2,3,5,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[6,5,1,8,4,7,3,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[3,1,5,6,2,8,4,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[6,3,1,4,7,2,8,5]=>[8,6,3,4,5,2,7,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[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]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[2,8,6,1,5,7,3,4]=>[4,8,7,1,6,5,3,2]=>[5,1,2,8,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[7,8,2,5,4,3,1,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,8,3,4,2,7,6,5]=>[1,8,5,4,3,7,6,2]=>[8,1,4,5,6,2,3,7]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[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]=>[3,1,4,5,6,8,2,7]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[2,8,3,4,7,1,5,6]=>[6,8,3,4,7,1,5,2]=>[3,1,6,5,2,8,4,7]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[4,1,3,6,7,8,2,5]=>[7,2,3,8,5,6,1,4]=>[2,7,6,1,4,3,8,5]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[3,8,1,5,6,2,7,4]=>[6,8,3,7,5,1,4,2]=>[3,1,6,2,4,8,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[8,2,5,6,1,7,4,3]=>[8,5,7,6,2,4,3,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[7,1,5,2,8,6,4,3]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,5,3,6,2,7,4]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,6,2,1,7,5,8,4]=>[4,8,3,1,6,5,7,2]=>[5,1,6,8,3,4,2,7]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]
[4,7,2,6,5,8,1,3]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,8,1,4,2,7,3,5]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,3,4,7,1,8,2,5]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,4,7,8,2,5,6,1]=>[8,5,7,6,2,4,3,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[1,8,2,4,5,6,7,3]=>[1,8,3,7,5,6,4,2]=>[8,1,6,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[5,2,4,1,6,8,7,3]=>[8,4,3,2,5,7,6,1]=>[1,5,6,7,4,2,3,8]=>[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]
[4,3,5,6,1,8,7,2]=>[8,5,3,4,2,7,6,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[5,3,4,1,7,6,8,2]=>[8,4,3,2,6,5,7,1]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[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]=>[8,1,3,5,4,6,2,7]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[1,3,2,7,5,8,6,4]=>[1,3,2,8,7,6,5,4]=>[8,6,7,1,2,3,4,5]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]
[1,4,2,5,8,3,7,6]=>[1,6,3,4,8,2,7,5]=>[8,3,6,5,1,7,2,4]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]
[1,4,2,7,8,5,6,3]=>[1,8,3,7,6,5,4,2]=>[8,1,6,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[5,1,2,6,8,4,7,3]=>[8,2,3,6,7,4,5,1]=>[1,7,6,3,2,5,4,8]=>[.,[[[[.,.],.],.],[[.,.],[.,.]]]]
[4,1,2,6,8,5,3,7]=>[7,2,3,6,8,4,1,5]=>[2,7,6,3,1,5,8,4]=>[[.,[[[.,.],.],.]],[[.,[.,.]],.]]
[1,5,2,4,8,7,6,3]=>[1,8,3,4,7,6,5,2]=>[8,1,6,5,2,3,4,7]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[1,2,6,4,8,7,5,3]=>[1,2,8,7,6,5,4,3]=>[8,7,1,2,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,2,7,4,8,6,5,3]=>[1,2,8,7,6,5,4,3]=>[8,7,1,2,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,3,2,7,5,8,4,6]=>[1,3,2,8,7,6,5,4]=>[8,6,7,1,2,3,4,5]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]
[2,3,1,7,5,4,8,6]=>[3,2,1,8,6,5,7,4]=>[6,7,8,1,3,4,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[1,3,2,8,5,7,4,6]=>[1,3,2,8,7,6,5,4]=>[8,6,7,1,2,3,4,5]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]
[1,4,2,5,8,7,3,6]=>[1,7,3,4,8,6,2,5]=>[8,2,6,5,1,3,7,4]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]
[1,5,2,4,8,7,3,6]=>[1,7,3,4,8,6,2,5]=>[8,2,6,5,1,3,7,4]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]
[1,2,6,4,8,7,3,5]=>[1,2,8,7,6,5,4,3]=>[8,7,1,2,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,2,7,8,5,6,3,4]=>[1,2,8,7,6,5,4,3]=>[8,7,1,2,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,2,6,8,5,7,3,4]=>[1,2,8,7,6,5,4,3]=>[8,7,1,2,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,5,6,8,2,7,3,4]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,3,8,2,6,7,4,5]=>[1,4,8,2,7,6,5,3]=>[8,5,1,7,2,3,4,6]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[1,6,7,8,2,5,3,4]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,2,6,8,3,7,5,4]=>[1,2,8,7,5,6,4,3]=>[8,7,1,2,4,3,5,6]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[1,5,7,8,2,3,6,4]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,5,2,7,8,4,6,3]=>[1,8,3,7,6,5,4,2]=>[8,1,6,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,4,7,2,8,3,6,5]=>[1,6,8,4,7,2,5,3]=>[8,3,1,5,2,7,4,6]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[1,6,7,3,4,8,5,2]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,5,3,7,4,8,6,2]=>[1,8,5,7,3,6,4,2]=>[8,1,4,2,6,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[3,8,4,1,5,7,2,6]=>[7,8,4,3,5,6,1,2]=>[2,1,5,6,4,3,8,7]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]
[1,3,6,4,2,8,7,5]=>[1,5,8,4,2,7,6,3]=>[8,4,1,5,7,2,3,6]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]
[1,3,7,4,2,8,6,5]=>[1,5,8,4,2,7,6,3]=>[8,4,1,5,7,2,3,6]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]
[1,3,8,4,2,7,6,5]=>[1,5,8,4,2,7,6,3]=>[8,4,1,5,7,2,3,6]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]
[1,2,8,4,7,3,6,5]=>[1,2,8,6,7,4,5,3]=>[8,7,1,3,2,5,4,6]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[1,2,7,4,8,3,6,5]=>[1,2,8,6,7,4,5,3]=>[8,7,1,3,2,5,4,6]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[1,2,6,4,8,3,7,5]=>[1,2,8,6,7,4,5,3]=>[8,7,1,3,2,5,4,6]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[1,5,2,4,8,3,7,6]=>[1,6,3,4,8,2,7,5]=>[8,3,6,5,1,7,2,4]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]
[1,8,4,5,7,2,3,6]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,3,5,2,7,4,6]=>[1,8,5,7,3,6,4,2]=>[8,1,4,2,6,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[2,8,3,5,1,4,7,6]=>[5,8,3,6,1,4,7,2]=>[4,1,6,3,8,5,2,7]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]
[2,3,8,6,1,4,7,5]=>[5,2,8,7,1,6,4,3]=>[4,7,1,2,8,3,5,6]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[1,3,8,6,2,7,4,5]=>[1,5,8,7,2,6,4,3]=>[8,4,1,2,7,3,5,6]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[1,4,8,6,7,2,3,5]=>[1,7,8,6,5,4,2,3]=>[8,2,1,3,4,5,7,6]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[1,5,6,8,7,2,3,4]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,2,6,8,5,3,7,4]=>[1,2,8,7,6,5,4,3]=>[8,7,1,2,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,2,7,8,5,3,6,4]=>[1,2,8,7,6,5,4,3]=>[8,7,1,2,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,2,5,8,7,3,6,4]=>[1,2,8,7,6,5,4,3]=>[8,7,1,2,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,2,6,8,7,3,5,4]=>[1,2,8,7,6,5,4,3]=>[8,7,1,2,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,2,7,8,6,3,5,4]=>[1,2,8,7,6,5,4,3]=>[8,7,1,2,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,6,7,8,5,2,3,4]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,5,7,8,6,2,3,4]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,4,7,6,8,2,3,5]=>[1,7,8,6,5,4,2,3]=>[8,2,1,3,4,5,7,6]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[1,3,7,6,2,8,4,5]=>[1,5,8,7,2,6,4,3]=>[8,4,1,2,7,3,5,6]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[2,3,8,7,4,1,6,5]=>[6,2,8,7,5,1,4,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[1,2,8,4,7,6,3,5]=>[1,2,8,7,6,5,4,3]=>[8,7,1,2,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,2,5,8,7,6,3,4]=>[1,2,8,7,6,5,4,3]=>[8,7,1,2,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,2,6,8,7,5,3,4]=>[1,2,8,7,6,5,4,3]=>[8,7,1,2,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,2,7,8,6,5,3,4]=>[1,2,8,7,6,5,4,3]=>[8,7,1,2,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[5,2,6,7,3,4,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,6,2,1,4,8,7,3]=>[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[2,6,1,4,5,8,7,3]=>[3,8,1,5,4,7,6,2]=>[6,1,8,4,5,2,3,7]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[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]=>[6,1,8,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[2,6,1,7,4,8,5,3]=>[3,8,1,7,5,6,4,2]=>[6,1,8,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[5,1,2,7,8,4,3,6]=>[7,2,3,8,6,5,1,4]=>[2,7,6,1,3,4,8,5]=>[[.,[[.,.],.]],[.,[.,[[.,.],.]]]]
[2,6,1,7,4,8,3,5]=>[3,8,1,7,5,6,4,2]=>[6,1,8,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[3,6,4,1,7,8,2,5]=>[7,8,4,3,5,6,1,2]=>[2,1,5,6,4,3,8,7]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]
[5,4,6,1,3,8,7,2]=>[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[3,6,4,1,5,8,7,2]=>[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[2,6,1,5,4,8,7,3]=>[3,8,1,5,4,7,6,2]=>[6,1,8,4,5,2,3,7]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[2,6,1,4,7,8,5,3]=>[3,8,1,7,5,6,4,2]=>[6,1,8,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[5,1,2,4,8,7,3,6]=>[7,2,3,4,8,6,1,5]=>[2,7,6,5,1,3,8,4]=>[[.,[[[.,.],.],.]],[.,[[.,.],.]]]
[1,2,3,8,5,4,7,6]=>[1,2,3,8,6,5,7,4]=>[8,7,6,1,3,4,2,5]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]
[4,3,1,2,8,5,7,6]=>[4,3,2,1,8,6,7,5]=>[5,6,7,8,1,3,2,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[1,2,3,8,5,6,4,7]=>[1,2,3,8,7,6,5,4]=>[8,7,6,1,2,3,4,5]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[1,2,3,8,6,4,5,7]=>[1,2,3,8,7,6,5,4]=>[8,7,6,1,2,3,4,5]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[1,2,3,8,6,5,4,7]=>[1,2,3,8,7,6,5,4]=>[8,7,6,1,2,3,4,5]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[1,2,3,8,5,4,6,7]=>[1,2,3,8,6,5,7,4]=>[8,7,6,1,3,4,2,5]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]
[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]=>[2,7,6,5,1,3,8,4]=>[[.,[[[.,.],.],.]],[.,[[.,.],.]]]
[5,1,2,4,8,3,7,6]=>[6,2,3,4,8,1,7,5]=>[3,7,6,5,1,8,2,4]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]
[5,6,3,1,4,8,2,7]=>[7,5,4,3,2,8,1,6]=>[2,4,5,6,7,1,8,3]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[2,5,4,3,1,8,6,7]=>[5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[5,4,6,3,1,8,7,2]=>[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[3,6,4,5,1,8,7,2]=>[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[3,6,5,4,1,8,7,2]=>[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[5,2,6,1,7,8,4,3]=>[8,4,7,2,5,6,3,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[5,1,6,2,8,7,3,4]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[2,1,3,7,8,6,4,5]=>[2,1,3,8,7,6,5,4]=>[7,8,6,1,2,3,4,5]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]
[2,1,3,7,8,5,6,4]=>[2,1,3,8,7,6,5,4]=>[7,8,6,1,2,3,4,5]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]
[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]=>[1,7,5,6,2,3,4,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[2,1,3,6,8,5,7,4]=>[2,1,3,8,7,6,5,4]=>[7,8,6,1,2,3,4,5]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]
[1,2,3,8,6,7,4,5]=>[1,2,3,8,7,6,5,4]=>[8,7,6,1,2,3,4,5]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[1,2,3,8,7,5,4,6]=>[1,2,3,8,7,6,5,4]=>[8,7,6,1,2,3,4,5]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[1,2,3,8,7,4,5,6]=>[1,2,3,8,7,6,5,4]=>[8,7,6,1,2,3,4,5]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[1,2,3,8,5,7,4,6]=>[1,2,3,8,7,6,5,4]=>[8,7,6,1,2,3,4,5]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[2,1,3,6,8,7,4,5]=>[2,1,3,8,7,6,5,4]=>[7,8,6,1,2,3,4,5]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]
[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]=>[5,7,1,8,2,3,4,6]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[1,2,3,4,5,6,7,10,8,9]=>[1,2,3,4,5,6,7,10,9,8]=>[10,9,8,7,6,5,4,1,2,3]=>[[[[[[[[.,.],.],.],.],.],.],.],[.,[.,.]]]
[1,2,3,4,5,9,7,6,8]=>[1,2,3,4,5,9,8,7,6]=>[9,8,7,6,5,1,2,3,4]=>[[[[[[.,.],.],.],.],.],[.,[.,[.,.]]]]
[1,2,8,4,5,3,6,7]=>[1,2,8,6,5,4,7,3]=>[8,7,1,3,4,5,2,6]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]
[1,8,3,4,2,5,6,7]=>[1,8,5,4,3,6,7,2]=>[8,1,4,5,6,3,2,7]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[1,8,4,3,2,5,6,7]=>[1,8,5,4,3,6,7,2]=>[8,1,4,5,6,3,2,7]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,7,3,6,5,4,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,1,7,2,6,5,4,3]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[6,4,8,5,7,2,3,1]=>[[[[.,.],[[.,.],[.,.]]],[.,.]],.]
[2,6,1,4,3,7,5,8]=>[3,7,1,5,4,6,2,8]=>[6,2,8,4,5,3,7,1]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[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]=>[6,2,8,4,5,3,7,1]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[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]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[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]=>[4,2,6,5,8,3,7,1]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[3,7,1,4,2,6,5,8]=>[5,7,3,4,1,6,2,8]=>[4,2,6,5,8,3,7,1]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[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]=>[4,2,6,3,8,5,7,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[3,7,2,6,1,5,4,8]=>[5,7,3,6,1,4,2,8]=>[4,2,6,3,8,5,7,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[4,2,6,3,8,5,7,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,7,3,5,4,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,6,4,2,5,1,8,3]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[6,3,4,7,5,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[2,3,6,1,4,7,8,5]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[5,3,8,2,4,1,6,7]=>[6,5,8,4,2,1,7,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[5,3,4,8,2,6,1,7]=>[7,5,3,8,2,6,1,4]=>[2,4,6,1,7,3,8,5]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[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]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[5,2,8,4,1,7,3,6]=>[7,5,8,4,2,6,1,3]=>[2,4,1,5,7,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[6,4,2,5,1,8,7,3]=>[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[6,4,3,5,8,2,1,7]=>[7,6,4,3,8,2,1,5]=>[2,3,5,6,1,7,8,4]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,4,2,3,1,6,7]=>[6,8,5,4,3,1,7,2]=>[3,1,4,5,6,8,2,7]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[5,8,4,2,3,1,7,6]=>[6,8,5,4,3,1,7,2]=>[3,1,4,5,6,8,2,7]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[6,4,5,3,8,2,1,7]=>[7,6,4,3,8,2,1,5]=>[2,3,5,6,1,7,8,4]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[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]=>[2,3,4,1,6,7,8,5]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[6,4,2,7,3,1,8,5]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[5,7,4,2,3,1,6,8]=>[6,7,5,4,3,1,2,8]=>[3,2,4,5,6,8,7,1]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[5,6,3,7,1,8,2,4]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,6,3,4,7,1,8,2]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[5,6,3,4,8,2,1,7]=>[7,6,4,3,8,2,1,5]=>[2,3,5,6,1,7,8,4]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[6,3,5,7,4,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,4,3,5,7,1,8,2]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[6,4,2,5,1,7,3,8]=>[7,5,4,3,2,6,1,8]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[5,3,7,2,4,1,6,8]=>[6,5,7,4,2,1,3,8]=>[3,4,2,5,7,8,6,1]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[5,3,4,7,2,6,1,8]=>[7,5,3,6,2,4,1,8]=>[2,4,6,3,7,5,8,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[4,7,3,6,2,5,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[5,3,4,6,8,2,1,7]=>[7,6,3,4,8,2,1,5]=>[2,3,6,5,1,7,8,4]=>[[.,[.,[[.,.],.]]],[[.,[.,.]],.]]
[5,3,6,8,2,1,4,7]=>[7,6,5,8,3,2,1,4]=>[2,3,4,1,6,7,8,5]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[5,3,6,7,1,8,2,4]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,3,4,6,7,1,8,2]=>[8,6,3,4,5,2,7,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[4,5,7,3,6,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[4,7,1,5,8,2,3,6]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[3,5,6,7,2,8,4,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[6,9,5,4,10,8,7,3,2,1]=>[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]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]]
[5,8,9,4,3,10,7,6,2,1]=>[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]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[1,6,8,2,5,3,7,4]=>[1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,8,2,5,3,4,7,6]=>[1,8,3,6,5,4,7,2]=>[8,1,6,3,4,5,2,7]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[1,8,2,3,6,4,7,5]=>[1,8,3,4,7,6,5,2]=>[8,1,6,5,2,3,4,7]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[1,3,5,2,8,4,7,6]=>[1,4,6,2,8,3,7,5]=>[8,5,3,7,1,6,2,4]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]
[1,8,2,7,3,4,6,5]=>[1,8,3,7,5,6,4,2]=>[8,1,6,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,5,8,2,3,7,4,6]=>[1,7,8,4,5,6,2,3]=>[8,2,1,5,4,3,7,6]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]
[1,6,8,2,3,5,4,7]=>[1,7,8,4,5,6,2,3]=>[8,2,1,5,4,3,7,6]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]
[5,3,6,1,2,4,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[7,1,5,8,4,2,3,6]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,5,7,4,2,3,6]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,1,4,5,8,2,3,6]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,4,1,7,2,6,3,5]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,1,4,7,5,2,3,6]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,5,4,7,2,3,6]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,1,7,5,8,3,4,6]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[7,1,5,4,8,2,3,6]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,1,4,8,5,2,3,6]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,8,3,1,2,4,6,5]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,7,1,6,4,2,3,5]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,6,1,7,4,2,3,5]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,6,1,8,4,2,3,5]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[6,7,1,8,4,2,3,5]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,8,1,7,4,2,3,5]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,1,8,5,4,2,3,6]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,1,8,4,5,2,3,6]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,1,7,8,5,3,4,6]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[7,6,3,1,2,4,8,5]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,8,1,4,2,3,7,5]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,8,3,1,2,7,4,5]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,7,3,1,2,8,4,5]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[2,7,6,4,5,1,8,3]=>[[.,[[[.,.],.],[.,.]]],[[.,.],.]]
[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]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[2,4,8,5,1,3,6,7]=>[5,6,8,4,1,2,7,3]=>[4,3,1,5,8,7,2,6]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]
[3,5,6,1,8,4,2,7]=>[7,6,4,3,8,2,1,5]=>[2,3,5,6,1,7,8,4]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[1,3,6,8,7,4,2,5]=>[1,7,8,6,5,4,2,3]=>[8,2,1,3,4,5,7,6]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[1,2,8,5,7,3,4,6]=>[1,2,8,7,6,5,4,3]=>[8,7,1,2,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[2,6,1,5,8,3,4,7]=>[3,7,1,6,8,4,2,5]=>[6,2,8,3,1,5,7,4]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]]
[5,7,1,6,8,4,3,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[3,1,6,5,2,8,4,7]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[1,7,8,4,6,2,5,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,7,4,8,5,1,6,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[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]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,5,2,8,7,4,6,3]=>[1,8,3,7,6,5,4,2]=>[8,1,6,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[3,4,2,7,8,1,6,5]=>[6,3,2,8,7,1,5,4]=>[3,6,7,1,2,8,4,5]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]
[4,1,3,7,5,6,8,2]=>[8,2,3,6,5,4,7,1]=>[1,7,6,3,4,5,2,8]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,1,7,3,8,5,2,6]=>[7,2,8,4,6,5,1,3]=>[2,7,1,5,3,4,8,6]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[6,1,7,3,5,4,8,2]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[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]=>[5,1,2,8,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[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]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[1,2,4,8,6,5,3,7]=>[1,2,7,8,6,5,3,4]=>[8,7,2,1,3,4,6,5]=>[[[[.,.],.],.],[.,[.,[[.,.],.]]]]
[7,1,5,6,8,4,3,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,7,8,1,4,6,3,5]=>[4,8,7,1,6,5,3,2]=>[5,1,2,8,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[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]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[5,2,6,4,8,3,1,7]=>[7,6,4,3,8,2,1,5]=>[2,3,5,6,1,7,8,4]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[1,7,3,2,4,8,5,6]=>[1,8,4,3,5,7,6,2]=>[8,1,5,6,4,2,3,7]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]
[1,3,6,5,2,8,4,7]=>[1,5,7,4,2,8,3,6]=>[8,4,2,5,7,1,6,3]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]
[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]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[8,6,1,3,5,4,2,7]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,3,8,6,1,2,4,7]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[2,5,6,3,4,8,7,1]=>[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[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]=>[2,4,1,3,7,5,8,6]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[4,7,6,2,5,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,1,7,2,4,3,8,6]=>[6,2,8,4,5,1,7,3]=>[3,7,1,5,4,8,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[5,4,1,3,8,6,2,7]=>[7,4,3,2,8,6,1,5]=>[2,5,6,7,1,3,8,4]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]
[5,1,8,6,3,4,2,7]=>[7,2,8,6,5,4,1,3]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[1,6,7,4,8,2,3,5]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,1,3,5,8,2,6,4]=>[8,2,6,7,5,3,4,1]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[6,3,1,4,7,5,8,2]=>[8,6,3,4,5,2,7,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[4,1,3,8,2,6,7,5]=>[5,2,3,8,1,7,6,4]=>[4,7,6,1,8,2,3,5]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]
[2,8,3,6,7,5,4,1]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,1,7,2,8,5,4,6]=>[4,2,8,1,7,6,5,3]=>[5,7,1,8,2,3,4,6]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[3,6,1,4,7,2,8,5]=>[6,8,3,4,5,1,7,2]=>[3,1,6,5,4,8,2,7]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]
[1,5,8,4,7,2,3,6]=>[1,7,8,6,5,4,2,3]=>[8,2,1,3,4,5,7,6]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[7,1,3,6,2,8,4,5]=>[8,2,5,7,3,6,4,1]=>[1,7,4,2,6,3,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[6,2,7,4,5,8,1,3]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[1,8,5,7,3,2,4,6]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,1,8,5,4,3,6,7]=>[2,1,8,6,5,4,7,3]=>[7,8,1,3,4,5,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[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]=>[6,1,8,3,4,5,2,7]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[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]=>[1,7,5,6,2,3,4,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[2,8,5,4,1,3,6,7]=>[5,8,6,4,1,3,7,2]=>[4,1,3,5,8,6,2,7]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]
[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]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,7,5,1,2,8,3,4]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,2,6,8,3,4,7,1]=>[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[7,6,2,4,5,8,3,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,1,5,6,8,3,7,4]=>[2,1,8,6,7,4,5,3]=>[7,8,1,3,2,5,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[1,6,8,3,2,7,4,5]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[6,5,7,2,8,4,1,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[1,5,6,4,8,2,7,3]=>[1,8,6,4,7,3,5,2]=>[8,1,3,5,2,6,4,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[1,4,6,3,5,7,8,2]=>[1,8,5,4,3,6,7,2]=>[8,1,4,5,6,3,2,7]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[3,6,1,4,2,7,8,5]=>[5,8,3,4,1,6,7,2]=>[4,1,6,5,8,3,2,7]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]
[1,3,6,5,2,7,8,4]=>[1,5,8,4,2,6,7,3]=>[8,4,1,5,7,3,2,6]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]
[1,2,6,4,3,8,5,7]=>[1,2,7,5,4,8,3,6]=>[8,7,2,4,5,1,6,3]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]
[1,2,6,3,5,8,7,4]=>[1,2,8,4,5,7,6,3]=>[8,7,1,5,4,2,3,6]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]
[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]=>[5,7,2,8,1,3,6,4]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]
[1,2,7,4,6,8,3,5]=>[1,2,8,7,5,6,4,3]=>[8,7,1,2,4,3,5,6]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[2,3,7,5,1,8,4,6]=>[5,2,8,7,1,6,4,3]=>[4,7,1,2,8,3,5,6]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[4,7,2,5,3,8,6,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,1,7,5,4,8,6,2]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[1,2,7,6,4,8,5,3]=>[1,2,8,7,5,6,4,3]=>[8,7,1,2,4,3,5,6]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[1,2,7,3,6,8,5,4]=>[1,2,8,4,7,6,5,3]=>[8,7,1,5,2,3,4,6]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[2,3,6,1,8,5,7,4]=>[4,2,8,1,7,6,5,3]=>[5,7,1,8,2,3,4,6]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[3,1,5,4,8,7,6,2]=>[8,2,4,3,7,6,5,1]=>[1,7,5,6,2,3,4,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[1,2,5,8,4,7,3,6]=>[1,2,7,8,5,6,3,4]=>[8,7,2,1,4,3,6,5]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]
[1,2,6,8,5,4,7,3]=>[1,2,8,7,6,5,4,3]=>[8,7,1,2,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,3,6,8,5,2,7,4]=>[1,6,8,7,5,2,4,3]=>[8,3,1,2,4,7,5,6]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]
[1,3,6,8,5,2,4,7]=>[1,6,7,8,5,2,3,4]=>[8,3,2,1,4,7,6,5]=>[[[[.,.],.],.],[.,[[[.,.],.],.]]]
[1,2,6,8,5,4,3,7]=>[1,2,7,8,6,5,3,4]=>[8,7,2,1,3,4,6,5]=>[[[[.,.],.],.],[.,[.,[[.,.],.]]]]
[1,2,5,8,4,3,7,6]=>[1,2,6,8,5,3,7,4]=>[8,7,3,1,4,6,2,5]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]
[1,3,5,8,2,4,7,6]=>[1,5,6,8,2,3,7,4]=>[8,4,3,1,7,6,2,5]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]
[1,3,6,8,2,5,4,7]=>[1,5,7,8,2,6,3,4]=>[8,4,2,1,7,3,6,5]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]
[1,4,6,8,3,2,5,7]=>[1,6,7,8,5,2,3,4]=>[8,3,2,1,4,7,6,5]=>[[[[.,.],.],.],[.,[[[.,.],.],.]]]
[2,3,6,7,5,8,1,4]=>[7,2,8,5,4,6,1,3]=>[2,7,1,4,5,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[2,3,6,5,8,1,7,4]=>[6,2,8,4,7,1,5,3]=>[3,7,1,5,2,8,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[3,4,6,2,8,1,7,5]=>[6,4,8,2,7,1,5,3]=>[3,5,1,7,2,8,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[3,5,4,6,8,2,1,7]=>[7,6,3,4,8,2,1,5]=>[2,3,6,5,1,7,8,4]=>[[.,[.,[[.,.],.]]],[[.,[.,.]],.]]
[3,5,4,6,8,1,2,7]=>[7,6,3,4,8,2,1,5]=>[2,3,6,5,1,7,8,4]=>[[.,[.,[[.,.],.]]],[[.,[.,.]],.]]
[1,2,4,7,5,8,3,6]=>[1,2,7,8,5,6,3,4]=>[8,7,2,1,4,3,6,5]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]
[1,2,6,7,4,8,3,5]=>[1,2,8,7,5,6,4,3]=>[8,7,1,2,4,3,5,6]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[3,6,4,7,1,8,5,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[1,2,6,7,3,8,5,4]=>[1,2,8,7,5,6,4,3]=>[8,7,1,2,4,3,5,6]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[1,2,5,7,3,8,6,4]=>[1,2,8,7,5,6,4,3]=>[8,7,1,2,4,3,5,6]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[3,1,5,7,6,8,4,2]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[3,5,4,6,8,2,7,1]=>[8,6,3,4,7,2,5,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[4,2,6,1,8,7,5,3]=>[8,4,7,2,6,5,3,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[3,1,6,5,8,7,4,2]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[2,3,6,5,8,7,1,4]=>[7,2,8,4,6,5,1,3]=>[2,7,1,5,3,4,8,6]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[1,2,7,4,6,8,5,3]=>[1,2,8,7,5,6,4,3]=>[8,7,1,2,4,3,5,6]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[1,2,7,5,6,8,4,3]=>[1,2,8,7,5,6,4,3]=>[8,7,1,2,4,3,5,6]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[3,1,6,7,5,8,4,2]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[4,6,2,7,5,8,3,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[8,1,3,2,4,6,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[1,3,6,8,2,5,7,4]=>[1,5,8,7,2,6,4,3]=>[8,4,1,2,7,3,5,6]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[1,3,5,8,2,7,4,6]=>[1,5,7,8,2,6,3,4]=>[8,4,2,1,7,3,6,5]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]
[1,2,5,8,4,7,6,3]=>[1,2,8,7,5,6,4,3]=>[8,7,1,2,4,3,5,6]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[1,2,4,8,7,3,6,5]=>[1,2,6,8,7,3,5,4]=>[8,7,3,1,2,6,4,5]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]
[1,2,5,8,7,4,3,6]=>[1,2,7,8,6,5,3,4]=>[8,7,2,1,3,4,6,5]=>[[[[.,.],.],.],[.,[.,[[.,.],.]]]]
[1,3,5,8,7,2,4,6]=>[1,6,7,8,5,2,3,4]=>[8,3,2,1,4,7,6,5]=>[[[[.,.],.],.],[.,[[[.,.],.],.]]]
[2,3,7,6,8,5,1,4]=>[7,2,8,6,5,4,1,3]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[3,1,7,6,8,5,4,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,2,6,8,5,7,4,3]=>[1,2,8,7,6,5,4,3]=>[8,7,1,2,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,2,5,8,7,4,6,3]=>[1,2,8,7,6,5,4,3]=>[8,7,1,2,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,2,4,8,7,6,3,5]=>[1,2,7,8,6,5,3,4]=>[8,7,2,1,3,4,6,5]=>[[[[.,.],.],.],[.,[.,[[.,.],.]]]]
[6,4,5,7,2,8,1,3]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,3,4,7,2,8,1,6]=>[7,5,3,8,2,6,1,4]=>[2,4,6,1,7,3,8,5]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[3,2,7,4,6,8,1,5]=>[7,2,8,4,5,6,1,3]=>[2,7,1,5,4,3,8,6]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[5,3,6,2,7,1,4,8]=>[7,6,4,3,5,2,1,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[2,6,3,4,7,1,5,8]=>[6,7,3,4,5,1,2,8]=>[3,2,6,5,4,8,7,1]=>[[[.,.],[[[.,.],.],[[.,.],.]]],.]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,5,7,3,6,8,1,4]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[4,7,6,2,3,8,1,5]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[7,3,5,2,4,8,1,6]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,6,2,4,5,8,1,3]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,5,2,3,4,8,1,7]=>[7,5,4,3,2,8,1,6]=>[2,4,5,6,7,1,8,3]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[5,3,1,2,8,4,7,6]=>[6,4,3,2,8,1,7,5]=>[3,5,6,7,1,8,2,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[6,5,2,3,7,1,4,8]=>[7,6,4,3,5,2,1,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[5,2,1,8,3,4,6,7]=>[6,3,2,8,5,1,7,4]=>[3,6,7,1,4,8,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[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]=>[1,3,6,5,2,7,4,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[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]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,6,3,7,2,4,5,1]=>[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]=>[2,7,3,5,4,6,8,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[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]=>[1,7,2,5,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[8,1,7,3,4,5,6,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,6,1,7,2,4,5,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,1,5,7,2,3,6,4]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,7,5,8,2,3,6,4]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,4,5,8,3,6,7,2]=>[1,8,5,7,3,6,4,2]=>[8,1,4,2,6,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[2,5,7,1,8,3,6,4]=>[4,8,7,1,6,5,3,2]=>[5,1,2,8,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[6,2,7,1,8,4,5,3]=>[8,4,7,2,6,5,3,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[1,6,2,8,4,5,7,3]=>[1,8,3,7,6,5,4,2]=>[8,1,6,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[4,1,3,6,8,2,7,5]=>[6,2,3,8,7,1,5,4]=>[3,7,6,1,2,8,4,5]=>[[.,[[.,.],.]],[.,[[.,.],[.,.]]]]
[5,3,4,6,8,2,7,1]=>[8,6,3,4,7,2,5,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[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]=>[2,3,6,1,4,7,8,5]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[3,2,8,7,1,4,6,5]=>[5,2,8,7,1,6,4,3]=>[4,7,1,2,8,3,5,6]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[3,1,8,7,2,4,6,5]=>[5,2,8,7,1,6,4,3]=>[4,7,1,2,8,3,5,6]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[5,3,7,6,1,2,4,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,8,3,7,2,4,5,6]=>[1,8,5,7,3,6,4,2]=>[8,1,4,2,6,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[3,8,1,7,2,4,5,6]=>[5,8,3,7,1,6,4,2]=>[4,1,6,2,8,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[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]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[3,8,7,1,4,5,6,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,7,6,1,3,4,5,8]=>[4,7,6,1,5,3,2,8]=>[5,2,3,8,4,6,7,1]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[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]=>[8,1,2,5,4,3,6,7]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[3,1,6,5,4,8,2,7]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]
[3,4,7,2,5,1,8,6]=>[6,4,8,2,5,1,7,3]=>[3,5,1,7,4,8,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[2,1,6,4,8,5,3,7]=>[2,1,7,6,8,4,3,5]=>[7,8,2,3,1,5,6,4]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]
[3,6,2,5,7,1,4,8]=>[6,7,3,4,5,1,2,8]=>[3,2,6,5,4,8,7,1]=>[[[.,.],[[[.,.],.],[[.,.],.]]],.]
[1,2,8,3,7,5,4,6]=>[1,2,8,4,7,6,5,3]=>[8,7,1,5,2,3,4,6]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[5,6,1,2,8,4,3,7]=>[7,6,3,4,8,2,1,5]=>[2,3,6,5,1,7,8,4]=>[[.,[.,[[.,.],.]]],[[.,[.,.]],.]]
[1,6,3,8,7,4,2,5]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,3,8,1,2,6,7,5]=>[5,4,8,2,1,7,6,3]=>[4,5,1,7,8,2,3,6]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[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]=>[10,1,2,3,4,5,6,7,8,9]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[1,6,7,10,9,4,8,2,5,3]=>[1,10,9,8,7,6,5,4,3,2]=>[10,1,2,3,4,5,6,7,8,9]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[1,8,10,4,5,9,7,2,6,3]=>[1,10,9,8,7,6,5,4,3,2]=>[10,1,2,3,4,5,6,7,8,9]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[1,4,7,10,5,9,8,2,6,3]=>[1,10,9,8,7,6,5,4,3,2]=>[10,1,2,3,4,5,6,7,8,9]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[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]=>[10,1,2,3,4,5,6,7,8,9]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[1,6,7,10,9,2,3,8,5,4]=>[1,10,9,8,7,6,5,4,3,2]=>[10,1,2,3,4,5,6,7,8,9]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[1,2,7,10,5,9,3,8,6,4]=>[1,2,10,9,8,7,6,5,4,3]=>[10,9,1,2,3,4,5,6,7,8]=>[[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,2,3,4,5,10,9,8,7,6]=>[1,2,3,4,5,10,9,8,7,6]=>[10,9,8,7,6,1,2,3,4,5]=>[[[[[[.,.],.],.],.],.],[.,[.,[.,[.,.]]]]]
[1,10,12,8,11,6,9,4,7,2,5,3]=>[1,12,11,10,9,8,7,6,5,4,3,2]=>[12,1,2,3,4,5,6,7,8,9,10,11]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]
[1,8,9,12,11,6,10,4,7,2,5,3]=>[1,12,11,10,9,8,7,6,5,4,3,2]=>[12,1,2,3,4,5,6,7,8,9,10,11]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]
[1,10,12,6,7,11,9,4,8,2,5,3]=>[1,12,11,10,9,8,7,6,5,4,3,2]=>[12,1,2,3,4,5,6,7,8,9,10,11]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]
[1,6,9,12,7,11,10,4,8,2,5,3]=>[1,12,11,10,9,8,7,6,5,4,3,2]=>[12,1,2,3,4,5,6,7,8,9,10,11]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]
[1,6,7,8,12,11,10,4,9,2,5,3]=>[1,12,11,10,9,8,7,6,5,4,3,2]=>[12,1,2,3,4,5,6,7,8,9,10,11]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]
[1,10,12,8,11,4,5,9,7,2,6,3]=>[1,12,11,10,9,8,7,6,5,4,3,2]=>[12,1,2,3,4,5,6,7,8,9,10,11]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]
[1,8,9,12,11,4,5,10,7,2,6,3]=>[1,12,11,10,9,8,7,6,5,4,3,2]=>[12,1,2,3,4,5,6,7,8,9,10,11]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]
[1,10,12,4,7,11,5,9,8,2,6,3]=>[1,12,11,10,9,8,7,6,5,4,3,2]=>[12,1,2,3,4,5,6,7,8,9,10,11]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]
[1,4,9,12,7,11,5,10,8,2,6,3]=>[1,12,11,10,9,8,7,6,5,4,3,2]=>[12,1,2,3,4,5,6,7,8,9,10,11]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]
[1,4,7,8,12,11,5,10,9,2,6,3]=>[1,12,11,10,9,8,7,6,5,4,3,2]=>[12,1,2,3,4,5,6,7,8,9,10,11]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]
[1,10,12,8,11,6,9,2,3,7,5,4]=>[1,12,11,10,9,8,7,6,5,4,3,2]=>[12,1,2,3,4,5,6,7,8,9,10,11]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]
[1,8,9,12,11,6,10,2,3,7,5,4]=>[1,12,11,10,9,8,7,6,5,4,3,2]=>[12,1,2,3,4,5,6,7,8,9,10,11]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]
[1,10,12,6,7,11,9,2,3,8,5,4]=>[1,12,11,10,9,8,7,6,5,4,3,2]=>[12,1,2,3,4,5,6,7,8,9,10,11]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]
[1,6,9,12,7,11,10,2,3,8,5,4]=>[1,12,11,10,9,8,7,6,5,4,3,2]=>[12,1,2,3,4,5,6,7,8,9,10,11]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]
[1,2,9,12,7,11,5,10,3,8,6,4]=>[1,2,12,11,10,9,8,7,6,5,4,3]=>[12,11,1,2,3,4,5,6,7,8,9,10]=>[[[.,.],.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[1,2,7,8,12,11,5,10,3,9,6,4]=>[1,2,12,11,10,9,8,7,6,5,4,3]=>[12,11,1,2,3,4,5,6,7,8,9,10]=>[[[.,.],.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[1,2,9,12,5,6,11,10,3,8,7,4]=>[1,2,12,11,10,9,8,7,6,5,4,3]=>[12,11,1,2,3,4,5,6,7,8,9,10]=>[[[.,.],.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[1,2,5,8,12,6,11,10,3,9,7,4]=>[1,2,12,11,10,9,8,7,6,5,4,3]=>[12,11,1,2,3,4,5,6,7,8,9,10]=>[[[.,.],.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[3,1,2,4,5,6,7,8,9]=>[3,2,1,4,5,6,7,8,9]=>[7,8,9,6,5,4,3,2,1]=>[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.]
[2,4,1,3,5,6,7,8,9]=>[3,4,1,2,5,6,7,8,9]=>[7,6,9,8,5,4,3,2,1]=>[[[[[[[.,.],[[.,.],.]],.],.],.],.],.]
[2,3,5,1,4,6,7,8,9]=>[4,2,5,1,3,6,7,8,9]=>[6,8,5,9,7,4,3,2,1]=>[[[[[[.,[.,.]],[[.,.],.]],.],.],.],.]
[3,6,8,7,1,2,5,4]=>[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,4,1,6,5,8,7,2]=>[8,3,2,5,4,7,6,1]=>[1,6,7,4,5,2,3,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[5,2,7,4,1,3,6,8]=>[6,5,7,4,2,1,3,8]=>[3,4,2,5,7,8,6,1]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[4,3,5,1,2,8,7,6]=>[5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[3,1,4,6,2,8,7,5]=>[5,2,3,8,1,7,6,4]=>[4,7,6,1,8,2,3,5]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]
[1,4,6,5,2,8,7,3]=>[1,8,5,4,3,7,6,2]=>[8,1,4,5,6,2,3,7]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[3,4,5,6,1,8,7,2]=>[8,5,3,4,2,7,6,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[3,4,5,8,7,2,1,6]=>[7,6,3,8,5,2,1,4]=>[2,3,6,1,4,7,8,5]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[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]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[1,8,5,7,3,4,6,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,3,5,1,7,4,2,8]=>[7,6,4,3,5,2,1,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[6,1,4,8,7,3,2,5]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[8,2,1,3,4,5,7,6]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[5,4,7,6,3,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,6,3,7,5,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,1,3,5,8,6,2,7]=>[7,2,3,4,8,6,1,5]=>[2,7,6,5,1,3,8,4]=>[[.,[[[.,.],.],.]],[.,[[.,.],.]]]
[1,4,8,3,7,6,5,2]=>[1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[4,3,8,2,1,6,5,7]=>[5,4,8,2,1,7,6,3]=>[4,5,1,7,8,2,3,6]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[3,8,4,2,7,1,5,6]=>[6,8,4,3,7,1,5,2]=>[3,1,5,6,2,8,4,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[3,1,2,5,7,6,4,8]=>[3,2,1,7,6,5,4,8]=>[6,7,8,2,3,4,5,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[1,8,2,7,6,5,4,3]=>[1,8,3,7,6,5,4,2]=>[8,1,6,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[3,8,1,6,7,5,4,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,7,2,6,8,5,1,4]=>[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[7,2,3,8,5,6,1,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,2,1,7,5,6,4,3]=>[8,3,2,7,6,5,4,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[8,1,3,6,5,7,4,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,2,4,3,6,1,5,7]=>[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[1,7,8,5,4,3,6,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[4,2,6,5,8,3,7,1]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[3,6,5,1,2,8,4,7]=>[5,7,4,3,1,8,2,6]=>[4,2,5,6,8,1,7,3]=>[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,7,5,3,6,8,4,2]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[4,1,5,8,7,6,3,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,2,5,8,6,7,3,4]=>[1,2,8,7,6,5,4,3]=>[8,7,1,2,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[4,2,1,5,8,7,3,6]=>[7,3,2,4,8,6,1,5]=>[2,6,7,5,1,3,8,4]=>[[.,[[.,[.,.]],.]],[.,[[.,.],.]]]
[5,2,4,6,1,7,3,8]=>[7,5,3,4,2,6,1,8]=>[2,4,6,5,7,3,8,1]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[1,5,3,6,8,7,4,2]=>[1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[3,1,5,7,6,8,2,4]=>[7,2,8,5,4,6,1,3]=>[2,7,1,4,5,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[1,4,5,6,8,7,2,3]=>[1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,4,6,3,7,2,8,5]=>[1,6,8,4,5,2,7,3]=>[8,3,1,5,4,7,2,6]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]
[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]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[7,6,2,5,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,7,5,2,6,3,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[3,2,6,4,7,5,1,8]=>[7,2,6,4,5,3,1,8]=>[2,7,3,5,4,6,8,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[6,2,3,7,5,4,1,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[1,3,4,7,6,2,8,5]=>[1,6,3,8,5,2,7,4]=>[8,3,6,1,4,7,2,5]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[2,8,3,6,1,7,5,4]=>[5,8,3,7,1,6,4,2]=>[4,1,6,2,8,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[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]=>[3,1,6,2,4,8,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[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]=>[3,5,6,7,1,8,2,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[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]=>[1,7,4,2,6,3,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[8,1,3,6,2,7,5,4]=>[8,2,5,7,3,6,4,1]=>[1,7,4,2,6,3,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[1,2,4,7,3,8,6,5]=>[1,2,5,8,3,7,6,4]=>[8,7,4,1,6,2,3,5]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]
[7,1,8,2,6,5,4,3]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[3,1,8,6,2,7,5,4]=>[5,2,8,7,1,6,4,3]=>[4,7,1,2,8,3,5,6]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[4,1,7,8,2,6,5,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,6,1,8,2,7,4,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,2,7,8,1,6,5,3]=>[8,5,7,6,2,4,3,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[3,2,8,6,1,7,5,4]=>[5,2,8,7,1,6,4,3]=>[4,7,1,2,8,3,5,6]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[7,2,8,1,6,5,4,3]=>[8,4,7,2,6,5,3,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[1,8,7,2,6,5,4,3]=>[1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[2,8,7,1,6,5,4,3]=>[4,8,7,1,6,5,3,2]=>[5,1,2,8,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[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]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[1,4,6,2,3,8,7,5]=>[1,5,8,4,2,7,6,3]=>[8,4,1,5,7,2,3,6]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]
[2,3,1,7,6,4,8,5]=>[3,2,1,8,6,5,7,4]=>[6,7,8,1,3,4,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[4,5,2,1,7,3,8,6]=>[6,4,3,2,8,1,7,5]=>[3,5,6,7,1,8,2,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[5,6,7,1,2,8,4,3]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,7,5,1,2,8,6,3]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,7,1,6,2,8,5,4]=>[5,8,3,7,1,6,4,2]=>[4,1,6,2,8,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[2,7,1,3,8,6,5,4]=>[3,8,1,4,7,6,5,2]=>[6,1,8,5,2,3,4,7]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[1,7,2,3,8,6,5,4]=>[1,8,3,4,7,6,5,2]=>[8,1,6,5,2,3,4,7]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[3,8,1,6,2,7,5,4]=>[5,8,3,7,1,6,4,2]=>[4,1,6,2,8,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[4,8,5,1,2,7,6,3]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[7,8,6,1,4,2,3,5]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]
[4,2,7,3,6,8,1,5]=>[7,4,8,2,5,6,1,3]=>[2,5,1,7,4,3,8,6]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[5,3,6,4,2,8,1,7]=>[7,5,4,3,2,8,1,6]=>[2,4,5,6,7,1,8,3]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[5,2,6,4,7,3,1,8]=>[7,6,4,3,5,2,1,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[2,6,3,4,7,5,1,8]=>[7,6,3,4,5,2,1,8]=>[2,3,6,5,4,7,8,1]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[2,7,4,3,5,8,1,6]=>[7,8,4,3,5,6,1,2]=>[2,1,5,6,4,3,8,7]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]
[7,3,6,4,2,8,1,5]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,6,4,5,2,8,1,3]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,4,3,1,8,2,7,6]=>[6,4,3,2,8,1,7,5]=>[3,5,6,7,1,8,2,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[6,5,4,2,7,3,1,8]=>[7,6,4,3,5,2,1,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[5,4,1,7,2,6,3,8]=>[7,5,3,6,2,4,1,8]=>[2,4,6,3,7,5,8,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[5,4,1,8,3,2,6,7]=>[6,5,3,8,2,1,7,4]=>[3,4,6,1,7,8,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[6,5,2,8,3,4,7,1]=>[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[7,4,2,1,8,3,6,5]=>[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[6,5,3,4,8,2,7,1]=>[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[6,1,5,3,8,2,7,4]=>[8,2,6,4,7,3,5,1]=>[1,7,3,5,2,6,4,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[4,6,3,1,8,2,7,5]=>[6,8,4,3,7,1,5,2]=>[3,1,5,6,2,8,4,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[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]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,1,6,2,5,4,3,8]=>[7,2,6,4,5,3,1,8]=>[2,7,3,5,4,6,8,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[8,1,7,3,5,6,4,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,6,1,7,4,5,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,1,3,7,2,6,5,4]=>[8,2,5,7,3,6,4,1]=>[1,7,4,2,6,3,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[1,7,6,8,3,2,4,5]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,1,5,8,4,2,6,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[1,2,7,3,4,6,5,8]=>[1,2,7,4,5,6,3,8]=>[8,7,2,5,4,3,6,1]=>[[[[.,.],.],[[[.,.],.],[.,.]]],.]
[1,7,8,4,3,5,6,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,6,2,8,3,5,7,4]=>[1,8,3,7,5,6,4,2]=>[8,1,6,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[4,3,1,6,8,2,7,5]=>[6,3,2,8,7,1,5,4]=>[3,6,7,1,2,8,4,5]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]
[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]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[6,4,7,5,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,8,3,7,6,2,4,5]=>[1,8,6,7,5,3,4,2]=>[8,1,3,2,4,6,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[2,6,3,1,7,5,4,8]=>[4,7,3,1,6,5,2,8]=>[5,2,6,8,3,4,7,1]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[2,6,5,7,4,1,3,8]=>[6,7,5,4,3,1,2,8]=>[3,2,4,5,6,8,7,1]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[2,5,6,8,4,3,7,1]=>[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[2,5,4,7,1,8,6,3]=>[5,8,3,7,1,6,4,2]=>[4,1,6,2,8,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[5,2,1,8,7,6,4,3]=>[8,3,2,7,6,5,4,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[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]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,5,7,3,2,8,6,4]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[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]=>[4,6,7,5,8,3,2,1]=>[[[[.,[[.,[.,.]],[.,.]]],.],.],.]
[3,6,4,5,1,2,7,8]=>[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[4,2,1,6,5,3,7,8]=>[6,3,2,5,4,1,7,8]=>[3,6,7,4,5,8,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[4,2,1,5,7,6,3,8]=>[7,3,2,4,6,5,1,8]=>[2,6,7,5,3,4,8,1]=>[[.,[[[.,[.,.]],.],[.,[.,.]]]],.]
[3,5,4,7,1,6,2,8]=>[7,5,3,6,2,4,1,8]=>[2,4,6,3,7,5,8,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[3,4,7,5,6,1,2,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[3,4,5,8,6,7,1,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,5,4,6,1,8,7,2]=>[8,5,3,4,2,7,6,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[4,3,5,1,6,8,7,2]=>[8,4,3,2,5,7,6,1]=>[1,5,6,7,4,2,3,8]=>[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]
[4,3,2,1,7,6,5,9,8,10]=>[4,3,2,1,7,6,5,9,8,10]=>[7,8,9,10,4,5,6,2,3,1]=>[[[[.,[.,[.,[.,.]]]],[.,[.,.]]],[.,.]],.]
[2,1,4,3,6,5,10,9,7,8]=>[2,1,4,3,6,5,10,9,8,7]=>[9,10,7,8,5,6,1,2,3,4]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,[.,[.,.]]]]
[2,1,4,3,10,9,8,5,6,7]=>[2,1,4,3,10,9,8,7,6,5]=>[9,10,7,8,1,2,3,4,5,6]=>[[[.,[.,.]],[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,6,5,3,4,10,9,7,8]=>[2,1,6,5,4,3,10,9,8,7]=>[9,10,5,6,7,8,1,2,3,4]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[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]=>[9,10,1,2,3,4,5,6,7,8]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,3,1,2,10,9,8,5,6,7]=>[4,3,2,1,10,9,8,7,6,5]=>[7,8,9,10,1,2,3,4,5,6]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]]
[6,5,4,1,2,3,10,9,7,8]=>[6,5,4,3,2,1,10,9,8,7]=>[5,6,7,8,9,10,1,2,3,4]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]]
[8,7,6,5,1,2,3,4,10,9]=>[8,7,6,5,4,3,2,1,10,9]=>[3,4,5,6,7,8,9,10,1,2]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]]
[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]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[2,1,12,11,10,9,8,3,4,5,6,7]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[11,12,1,2,3,4,5,6,7,8,9,10]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[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]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,[.,[.,.]]]]]]
[7,6,5,4,3,2,9,1,8]=>[8,6,5,4,3,2,9,1,7]=>[2,4,5,6,7,8,1,9,3]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[[.,.],.]]
[6,5,4,3,9,2,8,1,7]=>[8,6,4,3,9,2,7,1,5]=>[2,4,6,7,1,8,3,9,5]=>[[.,[.,[.,[.,.]]]],[[.,.],[[.,.],.]]]
[6,5,4,3,2,8,1,7,9]=>[7,5,4,3,2,8,1,6,9]=>[3,5,6,7,8,2,9,4,1]=>[[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]],.]
[5,4,9,3,8,2,7,1,6]=>[8,6,9,4,7,2,5,1,3]=>[2,4,1,6,3,8,5,9,7]=>[[.,[.,.]],[[.,.],[[.,.],[[.,.],.]]]]
[5,4,3,8,2,7,1,6,9]=>[7,5,3,8,2,6,1,4,9]=>[3,5,7,2,8,4,9,6,1]=>[[[.,[.,[.,.]]],[[.,.],[[.,.],.]]],.]
[5,4,3,2,7,9,1,6,8]=>[7,4,3,2,8,9,1,5,6]=>[3,6,7,8,2,1,9,5,4]=>[[[.,[.,[.,[.,.]]]],.],[[[.,.],.],.]]
[5,4,3,2,7,1,6,8,9]=>[6,4,3,2,7,1,5,8,9]=>[4,6,7,8,3,9,5,2,1]=>[[[[.,[.,[.,[.,.]]]],[[.,.],.]],.],.]
[4,8,3,7,2,6,1,5,9]=>[7,8,5,6,3,4,1,2,9]=>[3,2,5,4,7,6,9,8,1]=>[[[.,.],[[.,.],[[.,.],[[.,.],.]]]],.]
[4,3,7,2,6,9,1,5,8]=>[7,4,8,2,5,9,1,3,6]=>[3,6,2,8,5,1,9,7,4]=>[[[.,[.,.]],[[.,.],.]],[[[.,.],.],.]]
[4,3,7,2,6,1,5,8,9]=>[6,4,7,2,5,1,3,8,9]=>[4,6,3,8,5,9,7,2,1]=>[[[[.,[.,.]],[[.,.],[[.,.],.]]],.],.]
[4,3,2,6,8,1,5,7,9]=>[6,3,2,7,8,1,4,5,9]=>[4,7,8,3,2,9,6,5,1]=>[[[[.,[.,[.,.]]],.],[[[.,.],.],.]],.]
[4,3,2,6,1,5,7,8,9]=>[5,3,2,6,1,4,7,8,9]=>[5,7,8,4,9,6,3,2,1]=>[[[[[.,[.,[.,.]]],[[.,.],.]],.],.],.]
[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]=>[4,3,7,6,2,9,8,5,1]=>[[[[.,.],[[.,.],.]],[[[.,.],.],.]],.]
[3,6,2,5,1,4,7,8,9]=>[5,6,3,4,1,2,7,8,9]=>[5,4,7,6,9,8,3,2,1]=>[[[[[.,.],[[.,.],[[.,.],.]]],.],.],.]
[3,2,5,7,9,1,4,6,8]=>[6,2,7,8,9,1,3,4,5]=>[4,8,3,2,1,9,7,6,5]=>[[[[.,[.,.]],.],.],[[[[.,.],.],.],.]]
[3,2,5,7,1,4,6,8,9]=>[5,2,6,7,1,3,4,8,9]=>[5,8,4,3,9,7,6,2,1]=>[[[[[.,[.,.]],.],[[[.,.],.],.]],.],.]
[3,2,5,1,4,6,7,8,9]=>[4,2,5,1,3,6,7,8,9]=>[6,8,5,9,7,4,3,2,1]=>[[[[[[.,[.,.]],[[.,.],.]],.],.],.],.]
[2,4,6,8,1,3,5,7,9]=>[5,6,7,8,1,2,3,4,9]=>[5,4,3,2,9,8,7,6,1]=>[[[[[.,.],.],.],[[[[.,.],.],.],.]],.]
[2,4,6,1,3,5,7,8,9]=>[4,5,6,1,2,3,7,8,9]=>[6,5,4,9,8,7,3,2,1]=>[[[[[[.,.],.],[[[.,.],.],.]],.],.],.]
[8,7,6,5,4,3,2,10,1,9]=>[9,7,6,5,4,3,2,10,1,8]=>[2,4,5,6,7,8,9,1,10,3]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[[.,.],.]]
[7,6,5,4,3,10,2,9,1,8]=>[9,7,5,4,3,10,2,8,1,6]=>[2,4,6,7,8,1,9,3,10,5]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],[[.,.],.]]]
[7,6,5,4,3,2,9,1,8,10]=>[8,6,5,4,3,2,9,1,7,10]=>[3,5,6,7,8,9,2,10,4,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],[[.,.],.]],.]
[6,5,4,10,3,9,2,8,1,7]=>[9,7,5,10,3,8,2,6,1,4]=>[2,4,6,1,8,3,9,5,10,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],[[.,.],.]]]]
[6,5,4,3,9,2,8,1,7,10]=>[8,6,4,3,9,2,7,1,5,10]=>[3,5,7,8,2,9,4,10,6,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],[[.,.],.]]],.]
[6,5,4,3,2,8,10,1,7,9]=>[8,5,4,3,2,9,10,1,6,7]=>[3,6,7,8,9,2,1,10,5,4]=>[[[.,[.,[.,[.,[.,.]]]]],.],[[[.,.],.],.]]
[6,5,4,3,2,8,1,7,9,10]=>[7,5,4,3,2,8,1,6,9,10]=>[4,6,7,8,9,3,10,5,2,1]=>[[[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]],.],.]
[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]=>[3,5,2,7,4,9,6,10,8,1]=>[[[.,[.,.]],[[.,.],[[.,.],[[.,.],.]]]],.]
[5,4,3,8,2,7,10,1,6,9]=>[8,5,3,9,2,6,10,1,4,7]=>[3,6,8,2,9,5,1,10,7,4]=>[[[.,[.,[.,.]]],[[.,.],.]],[[[.,.],.],.]]
[5,4,3,8,2,7,1,6,9,10]=>[7,5,3,8,2,6,1,4,9,10]=>[4,6,8,3,9,5,10,7,2,1]=>[[[[.,[.,[.,.]]],[[.,.],[[.,.],.]]],.],.]
[5,4,3,2,7,9,1,6,8,10]=>[7,4,3,2,8,9,1,5,6,10]=>[4,7,8,9,3,2,10,6,5,1]=>[[[[.,[.,[.,[.,.]]]],.],[[[.,.],.],.]],.]
[5,4,3,2,7,1,6,8,9,10]=>[6,4,3,2,7,1,5,8,9,10]=>[5,7,8,9,4,10,6,3,2,1]=>[[[[[.,[.,[.,[.,.]]]],[[.,.],.]],.],.],.]
[4,8,3,7,2,6,10,1,5,9]=>[8,9,5,6,3,4,10,1,2,7]=>[3,2,6,5,8,7,1,10,9,4]=>[[[.,.],[[.,.],[[.,.],.]]],[[[.,.],.],.]]
[4,8,3,7,2,6,1,5,9,10]=>[7,8,5,6,3,4,1,2,9,10]=>[4,3,6,5,8,7,10,9,2,1]=>[[[[.,.],[[.,.],[[.,.],[[.,.],.]]]],.],.]
[4,3,7,10,2,6,9,1,5,8]=>[8,5,9,10,2,6,7,1,3,4]=>[3,6,2,1,9,5,4,10,8,7]=>[[[.,[.,.]],.],[[[.,.],.],[[[.,.],.],.]]]
[4,3,7,2,6,9,1,5,8,10]=>[7,4,8,2,5,9,1,3,6,10]=>[4,7,3,9,6,2,10,8,5,1]=>[[[[.,[.,.]],[[.,.],.]],[[[.,.],.],.]],.]
[4,3,7,2,6,1,5,8,9,10]=>[6,4,7,2,5,1,3,8,9,10]=>[5,7,4,9,6,10,8,3,2,1]=>[[[[[.,[.,.]],[[.,.],[[.,.],.]]],.],.],.]
[4,3,2,6,8,10,1,5,7,9]=>[7,3,2,8,9,10,1,4,5,6]=>[4,8,9,3,2,1,10,7,6,5]=>[[[[.,[.,[.,.]]],.],.],[[[[.,.],.],.],.]]
[4,3,2,6,8,1,5,7,9,10]=>[6,3,2,7,8,1,4,5,9,10]=>[5,8,9,4,3,10,7,6,2,1]=>[[[[[.,[.,[.,.]]],.],[[[.,.],.],.]],.],.]
[4,3,2,6,1,5,7,8,9,10]=>[5,3,2,6,1,4,7,8,9,10]=>[6,8,9,5,10,7,4,3,2,1]=>[[[[[[.,[.,[.,.]]],[[.,.],.]],.],.],.],.]
[3,6,9,2,5,8,1,4,7,10]=>[7,8,9,4,5,6,1,2,3,10]=>[4,3,2,7,6,5,10,9,8,1]=>[[[[.,.],.],[[[.,.],.],[[[.,.],.],.]]],.]
[3,6,2,5,8,10,1,4,7,9]=>[7,8,3,4,9,10,1,2,5,6]=>[4,3,8,7,2,1,10,9,6,5]=>[[[[.,.],[[.,.],.]],.],[[[[.,.],.],.],.]]
[3,6,2,5,8,1,4,7,9,10]=>[6,7,3,4,8,1,2,5,9,10]=>[5,4,8,7,3,10,9,6,2,1]=>[[[[[.,.],[[.,.],.]],[[[.,.],.],.]],.],.]
[3,6,2,5,1,4,7,8,9,10]=>[5,6,3,4,1,2,7,8,9,10]=>[6,5,8,7,10,9,4,3,2,1]=>[[[[[[.,.],[[.,.],[[.,.],.]]],.],.],.],.]
[3,2,5,7,9,1,4,6,8,10]=>[6,2,7,8,9,1,3,4,5,10]=>[5,9,4,3,2,10,8,7,6,1]=>[[[[[.,[.,.]],.],.],[[[[.,.],.],.],.]],.]
[3,2,5,7,1,4,6,8,9,10]=>[5,2,6,7,1,3,4,8,9,10]=>[6,9,5,4,10,8,7,3,2,1]=>[[[[[[.,[.,.]],.],[[[.,.],.],.]],.],.],.]
[3,2,5,1,4,6,7,8,9,10]=>[4,2,5,1,3,6,7,8,9,10]=>[7,9,6,10,8,5,4,3,2,1]=>[[[[[[[.,[.,.]],[[.,.],.]],.],.],.],.],.]
[2,4,6,8,1,3,5,7,9,10]=>[5,6,7,8,1,2,3,4,9,10]=>[6,5,4,3,10,9,8,7,2,1]=>[[[[[[.,.],.],.],[[[[.,.],.],.],.]],.],.]
[2,4,6,1,3,5,7,8,9,10]=>[4,5,6,1,2,3,7,8,9,10]=>[7,6,5,10,9,8,4,3,2,1]=>[[[[[[[.,.],.],[[[.,.],.],.]],.],.],.],.]
[2,4,1,3,5,6,7,8,9,10]=>[3,4,1,2,5,6,7,8,9,10]=>[8,7,10,9,6,5,4,3,2,1]=>[[[[[[[[.,.],[[.,.],.]],.],.],.],.],.],.]
[4,1,8,2,7,3,6,5]=>[6,2,8,4,7,1,5,3]=>[3,7,1,5,2,8,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[4,1,7,2,8,3,6,5]=>[6,2,8,4,7,1,5,3]=>[3,7,1,5,2,8,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[7,1,3,2,8,4,6,5]=>[8,2,4,3,7,6,5,1]=>[1,7,5,6,2,3,4,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[7,1,8,2,4,3,6,5]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,1,7,2,5,3,6,4]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,1,5,2,8,3,6,4]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[5,1,7,2,8,3,6,4]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[5,1,8,2,7,3,6,4]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[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]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,1,8,2,4,3,7,5]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,1,8,2,5,3,7,4]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,1,6,2,5,3,7,4]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,1,6,2,7,3,5,4]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,1,8,2,7,3,5,4]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,1,7,2,8,3,5,4]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[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]=>[3,7,4,5,6,8,1,2]=>[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]
[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]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,1,8,2,6,3,5,4]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[1,8,2,7,5,4,6,3]=>[1,8,3,7,6,5,4,2]=>[8,1,6,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,8,2,7,4,3,5,6]=>[1,8,3,7,6,5,4,2]=>[8,1,6,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,8,6,4,7,2,3,5]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,4,2,6,3,5,7]=>[1,8,6,4,7,3,5,2]=>[8,1,3,5,2,6,4,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[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]=>[3,7,2,5,4,8,6,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[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]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,8,5,4,3,7,2,6]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,8,5,4,7,2,6,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,4,2,5,3,7,6]=>[1,8,6,4,5,3,7,2]=>[8,1,3,5,4,6,2,7]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[1,8,5,4,2,6,7,3]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[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]=>[4,7,2,5,8,3,6,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[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]=>[5,7,1,8,2,3,4,6]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[5,1,7,4,2,6,8,3]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[5,4,3,7,1,2,8,6]=>[6,5,3,8,2,1,7,4]=>[3,4,6,1,7,8,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[4,3,1,6,2,5,7,8]=>[5,3,2,6,1,4,7,8]=>[4,6,7,3,8,5,2,1]=>[[[[.,[.,[.,.]]],[[.,.],.]],.],.]
[6,5,4,3,7,1,8,2]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[5,4,2,7,1,6,8,3]=>[8,5,3,6,2,4,7,1]=>[1,4,6,3,7,5,2,8]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[6,3,2,8,5,7,1,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,5,4,2,8,3,7,1]=>[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[6,5,4,3,8,2,7,1]=>[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[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]=>[2,4,1,5,7,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[5,4,3,8,1,6,2,7]=>[7,5,3,8,2,6,1,4]=>[2,4,6,1,7,3,8,5]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[5,4,3,7,1,6,2,8]=>[7,5,3,6,2,4,1,8]=>[2,4,6,3,7,5,8,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[6,4,2,8,5,1,3,7]=>[7,6,5,8,3,2,1,4]=>[2,3,4,1,6,7,8,5]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[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]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[6,4,1,7,8,2,3,5]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,3,1,5,2,7,6,8]=>[5,3,2,4,1,7,6,8]=>[4,6,7,5,8,2,3,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[5,4,2,7,3,8,1,6]=>[7,5,3,8,2,6,1,4]=>[2,4,6,1,7,3,8,5]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[4,1,5,3,2,8,6,7]=>[5,2,4,3,1,8,7,6]=>[4,7,5,6,8,1,2,3]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]
[3,1,6,2,8,7,4,5]=>[4,2,8,1,7,6,5,3]=>[5,7,1,8,2,3,4,6]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[6,3,1,7,8,5,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,4,2,6,1,8,7,3]=>[8,5,3,4,2,7,6,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[5,4,3,1,6,7,2,8]=>[7,4,3,2,5,6,1,8]=>[2,5,6,7,4,3,8,1]=>[[.,[[[.,[.,[.,.]]],.],[.,.]]],.]
[5,4,2,6,3,8,7,1]=>[8,5,3,4,2,7,6,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[4,3,1,5,2,6,8,7]=>[5,3,2,4,1,6,8,7]=>[4,6,7,5,8,3,1,2]=>[[[.,[[.,[.,.]],[.,.]]],.],[.,.]]
[5,4,2,1,6,7,8,3]=>[8,4,3,2,5,6,7,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,[.,[.,.]]],.],.],[.,.]]]
[5,4,3,1,6,7,8,2]=>[8,4,3,2,5,6,7,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,[.,[.,.]]],.],.],[.,.]]]
[3,6,7,1,2,5,8,4]=>[5,8,6,4,1,3,7,2]=>[4,1,3,5,8,6,2,7]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]
[7,8,3,1,2,5,6,4]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[4,1,6,5,8,2,3,7]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[2,6,7,3,1,8,4,5]=>[5,8,7,4,1,6,3,2]=>[4,1,2,5,8,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[2,6,7,1,3,5,4,8]=>[4,7,6,1,5,3,2,8]=>[5,2,3,8,4,6,7,1]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[3,2,5,7,1,8,4,6]=>[5,2,7,8,1,6,3,4]=>[4,7,2,1,8,3,6,5]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]
[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]=>[2,7,6,3,4,5,8,1]=>[[.,[[[.,.],.],[.,[.,[.,.]]]]],.]
[5,1,4,7,8,2,3,6]=>[7,2,6,8,5,3,1,4]=>[2,7,3,1,4,6,8,5]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]
[5,3,4,7,8,6,1,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,5,4,6,8,2,3,7]=>[1,7,6,4,8,3,2,5]=>[8,2,3,5,1,6,7,4]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]
[1,5,3,6,2,7,8,4]=>[1,8,5,4,3,6,7,2]=>[8,1,4,5,6,3,2,7]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[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]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[4,5,1,8,6,2,3,7]=>[7,6,3,8,5,2,1,4]=>[2,3,6,1,4,7,8,5]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[1,3,4,5,6,7,8,2,9]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]]
[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]=>[1,3,4,5,6,7,8,2,9]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]]
[8,7,6,4,3,2,1,9,5]=>[9,7,6,5,4,3,2,8,1]=>[1,3,4,5,6,7,8,2,9]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]]
[8,7,5,4,3,2,1,9,6]=>[9,7,6,5,4,3,2,8,1]=>[1,3,4,5,6,7,8,2,9]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]]
[8,5,4,3,2,1,7,6]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,6,5,4,3,2,1,9,7]=>[9,7,6,5,4,3,2,8,1]=>[1,3,4,5,6,7,8,2,9]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]]
[7,6,5,4,3,2,1,9,8]=>[7,6,5,4,3,2,1,9,8]=>[3,4,5,6,7,8,9,1,2]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]
[7,6,5,4,1,8,3,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[9,8,7,6,5,4,2,1,10,3]=>[10,8,7,6,5,4,3,2,9,1]=>[1,3,4,5,6,7,8,9,2,10]=>[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]]
[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]=>[1,3,4,5,6,7,8,9,2,10]=>[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]]
[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]=>[1,3,4,5,6,7,8,9,2,10]=>[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]]
[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]=>[1,3,4,5,6,7,8,9,2,10]=>[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]]
[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]=>[1,3,4,5,6,7,8,9,2,10]=>[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]]
[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]=>[1,3,4,5,6,7,8,2,9]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]]
[9,7,6,5,4,3,2,1,10,8]=>[10,8,7,6,5,4,3,2,9,1]=>[1,3,4,5,6,7,8,9,2,10]=>[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]]
[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]=>[1,3,4,5,6,7,8,9,2,10]=>[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]]
[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]=>[1,3,4,5,6,7,8,9,2,10]=>[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]]
[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]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[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]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[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]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[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]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[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]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[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]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[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]=>[3,4,6,5,7,8,2,1]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[2,5,3,6,1,4,7,8]=>[5,6,3,4,1,2,7,8]=>[4,3,6,5,8,7,2,1]=>[[[[.,.],[[.,.],[[.,.],.]]],.],.]
[4,6,7,1,5,2,3,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,6,7,3,5,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,4,7,1,5,2,3,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[3,2,5,6,1,4,7,8]=>[5,2,6,4,1,3,7,8]=>[4,7,3,5,8,6,2,1]=>[[[[.,[.,.]],[.,[[.,.],.]]],.],.]
[3,5,2,6,1,4,7,8]=>[5,6,3,4,1,2,7,8]=>[4,3,6,5,8,7,2,1]=>[[[[.,.],[[.,.],[[.,.],.]]],.],.]
[5,1,4,6,7,2,3,8]=>[7,2,6,4,5,3,1,8]=>[2,7,3,5,4,6,8,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[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]=>[8,3,4,5,6,7,2,1]=>[[[[.,.],[.,[.,[.,[.,.]]]]],.],.]
[5,2,4,6,7,1,3,8]=>[7,6,3,4,5,2,1,8]=>[2,3,6,5,4,7,8,1]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[2,5,4,6,7,1,3,8]=>[6,7,3,4,5,1,2,8]=>[3,2,6,5,4,8,7,1]=>[[[.,.],[[[.,.],.],[[.,.],.]]],.]
[2,6,7,4,5,1,3,8]=>[6,7,5,4,3,1,2,8]=>[3,2,4,5,6,8,7,1]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[6,2,7,4,5,1,3,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,2,5,6,7,1,3,8]=>[7,6,3,4,5,2,1,8]=>[2,3,6,5,4,7,8,1]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[4,5,2,6,7,1,3,8]=>[7,6,3,4,5,2,1,8]=>[2,3,6,5,4,7,8,1]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[5,3,1,6,2,4,7,8]=>[6,5,3,4,2,1,7,8]=>[3,4,6,5,7,8,2,1]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[6,3,7,4,5,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,4,1,6,7,2,3,8]=>[7,6,3,4,5,2,1,8]=>[2,3,6,5,4,7,8,1]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[5,2,1,6,3,4,7,8]=>[6,3,2,5,4,1,7,8]=>[3,6,7,4,5,8,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[7,3,2,5,4,1,6,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[7,3,5,4,2,1,6,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,3,5,2,4,1,6,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,6,5,2,1,4,3,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,3,6,7,5,2,8,4]=>[1,6,8,5,4,2,7,3]=>[8,3,1,4,5,7,2,6]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]
[7,3,4,1,6,2,5,8]=>[7,6,4,3,5,2,1,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[7,3,4,1,6,5,2,8]=>[7,6,4,3,5,2,1,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[7,3,4,1,5,6,2,8]=>[7,6,4,3,5,2,1,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[7,3,2,5,1,6,4,8]=>[7,5,3,6,2,4,1,8]=>[2,4,6,3,7,5,8,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[7,6,5,4,1,3,2,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,3,4,1,5,2,6,8]=>[7,6,4,3,5,2,1,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[1,3,6,7,2,5,8,4]=>[1,5,8,6,2,4,7,3]=>[8,4,1,3,7,5,2,6]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]
[1,7,4,6,2,8,5,3]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[4,3,1,7,2,6,8,5]=>[5,3,2,8,1,6,7,4]=>[4,6,7,1,8,3,2,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[5,6,1,4,7,3,8,2]=>[8,6,3,4,5,2,7,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[5,3,2,1,7,4,8,6]=>[6,4,3,2,8,1,7,5]=>[3,5,6,7,1,8,2,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[1,3,4,5,8,7,2,6]=>[1,7,3,4,8,6,2,5]=>[8,2,6,5,1,3,7,4]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]
[6,3,4,5,8,1,7,2]=>[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[3,1,2,5,6,8,7,4]=>[3,2,1,8,5,7,6,4]=>[6,7,8,1,4,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[3,7,5,4,6,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,1,4,6,5,8,2,7]=>[7,2,3,5,4,8,1,6]=>[2,7,6,4,5,1,8,3]=>[[.,[[[.,.],.],[.,.]]],[[.,.],.]]
[2,3,4,5,8,6,1,7]=>[7,2,3,4,8,6,1,5]=>[2,7,6,5,1,3,8,4]=>[[.,[[[.,.],.],.]],[.,[[.,.],.]]]
[2,3,4,5,8,1,7,6]=>[6,2,3,4,8,1,7,5]=>[3,7,6,5,1,8,2,4]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]
[3,7,5,4,6,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,6,1,4,7,2,8,3]=>[8,6,3,4,5,2,7,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[3,1,4,6,7,8,5,2]=>[8,2,3,7,5,6,4,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[1,4,5,2,6,8,7,3]=>[1,8,4,3,5,7,6,2]=>[8,1,5,6,4,2,3,7]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]
[3,7,5,2,6,8,1,4]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[3,7,5,2,6,8,4,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,6,1,2,7,4,8,3]=>[8,6,3,4,5,2,7,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[5,3,2,1,4,7,8,6]=>[5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[5,3,1,4,2,7,8,6]=>[5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[5,3,1,2,4,7,8,6]=>[5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[7,1,5,2,6,8,4,3]=>[8,2,7,4,5,6,3,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[7,1,5,2,6,8,3,4]=>[8,2,7,4,5,6,3,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[1,7,4,6,5,8,3,2]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[2,7,4,6,1,8,3,5]=>[5,8,7,4,1,6,3,2]=>[4,1,2,5,8,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[2,7,4,6,1,8,5,3]=>[5,8,7,4,1,6,3,2]=>[4,1,2,5,8,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[4,3,2,6,7,1,8,5]=>[6,3,2,8,5,1,7,4]=>[3,6,7,1,4,8,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[7,1,5,4,6,8,2,3]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[2,7,4,6,5,8,1,3]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[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]=>[8,2,6,5,1,3,7,4]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]
[1,3,4,5,8,2,7,6]=>[1,6,3,4,8,2,7,5]=>[8,3,6,5,1,7,2,4]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]
[6,3,4,5,8,2,1,7]=>[7,6,4,3,8,2,1,5]=>[2,3,5,6,1,7,8,4]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[6,3,4,5,8,2,7,1]=>[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,1,5,4,6,8,3,2]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[5,7,4,6,1,8,3,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,3,4,5,8,1,2,7]=>[7,6,4,3,8,2,1,5]=>[2,3,5,6,1,7,8,4]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[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]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[2,7,3,1,5,4,6,8]=>[4,7,3,1,6,5,2,8]=>[5,2,6,8,3,4,7,1]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[2,6,3,1,4,8,5,7]=>[4,7,3,1,5,8,2,6]=>[5,2,6,8,4,1,7,3]=>[[[.,.],[[.,[.,.]],.]],[[.,.],.]]
[4,2,1,8,3,6,7,5]=>[5,3,2,8,1,7,6,4]=>[4,6,7,1,8,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[3,2,1,6,4,5,7,8]=>[3,2,1,6,5,4,7,8]=>[6,7,8,3,4,5,2,1]=>[[[[.,[.,[.,.]]],[.,[.,.]]],.],.]
[2,7,3,1,5,6,8,4]=>[4,8,3,1,6,5,7,2]=>[5,1,6,8,3,4,2,7]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]
[2,4,7,5,1,6,8,3]=>[5,8,6,4,1,3,7,2]=>[4,1,3,5,8,6,2,7]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]
[4,3,7,5,6,1,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,3,6,8,5,1,7,2]=>[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[2,6,1,8,3,5,7,4]=>[3,8,1,7,5,6,4,2]=>[6,1,8,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[3,2,1,5,7,4,6,8]=>[3,2,1,6,7,4,5,8]=>[6,7,8,3,2,5,4,1]=>[[[[.,[.,[.,.]]],.],[[.,.],.]],.]
[2,1,6,3,5,8,4,7]=>[2,1,7,4,5,8,3,6]=>[7,8,2,5,4,1,6,3]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]
[8,2,4,1,7,5,6,3]=>[8,4,7,2,6,5,3,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[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]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[2,6,1,8,3,5,4,7]=>[3,7,1,8,5,6,2,4]=>[6,2,8,1,4,3,7,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[2,7,3,1,5,6,4,8]=>[4,7,3,1,6,5,2,8]=>[5,2,6,8,3,4,7,1]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[8,2,4,1,7,5,3,6]=>[8,4,7,2,6,5,3,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[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]=>[5,2,1,8,3,4,7,6]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]
[2,4,8,5,1,6,3,7]=>[5,7,8,4,1,6,2,3]=>[4,2,1,5,8,3,7,6]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]
[6,2,1,7,8,3,5,4]=>[8,3,2,7,6,5,4,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[2,7,1,8,3,5,6,4]=>[3,8,1,7,5,6,4,2]=>[6,1,8,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[3,2,1,6,7,4,5,8]=>[3,2,1,7,6,5,4,8]=>[6,7,8,2,3,4,5,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[3,2,1,7,4,5,6,8]=>[3,2,1,7,5,6,4,8]=>[6,7,8,2,4,3,5,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[2,4,8,5,1,6,7,3]=>[5,8,7,4,1,6,3,2]=>[4,1,2,5,8,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[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]=>[6,7,8,1,4,3,2,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[1,6,8,3,7,2,4,5]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,8,1,5,7,2,4,6]=>[6,8,3,7,5,1,4,2]=>[3,1,6,2,4,8,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[1,2,6,8,4,7,3,5]=>[1,2,8,7,6,5,4,3]=>[8,7,1,2,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[6,1,5,8,2,4,7,3]=>[8,2,6,7,5,3,4,1]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[1,2,4,8,3,6,7,5]=>[1,2,5,8,3,7,6,4]=>[8,7,4,1,6,2,3,5]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]
[4,1,2,7,8,3,6,5]=>[6,2,3,8,7,1,5,4]=>[3,7,6,1,2,8,4,5]=>[[.,[[.,.],.]],[.,[[.,.],[.,.]]]]
[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]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[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]=>[8,7,1,4,5,3,2,6]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]
[6,1,2,8,7,4,5,3]=>[8,2,3,7,6,5,4,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[7,1,6,2,8,4,5,3]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[1,2,6,3,8,5,4,7]=>[1,2,7,4,8,6,3,5]=>[8,7,2,5,1,3,6,4]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]
[1,2,8,5,3,6,4,7]=>[1,2,8,7,5,6,4,3]=>[8,7,1,2,4,3,5,6]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[1,2,7,3,8,5,4,6]=>[1,2,8,4,7,6,5,3]=>[8,7,1,5,2,3,4,6]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[4,1,2,7,8,6,3,5]=>[7,2,3,8,6,5,1,4]=>[2,7,6,1,3,4,8,5]=>[[.,[[.,.],.]],[.,[.,[[.,.],.]]]]
[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]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[3,1,7,8,6,2,4,5]=>[6,2,8,7,5,1,4,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[1,8,7,2,4,5,6,3]=>[1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,8,7,3,5,6,2,4]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,3,2,8,7,4,5,6]=>[1,3,2,8,7,6,5,4]=>[8,6,7,1,2,3,4,5]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]
[1,7,6,3,2,4,5,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[8,5,1,7,2,4,6,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[1,2,5,3,8,6,4,7]=>[1,2,7,4,8,6,3,5]=>[8,7,2,5,1,3,6,4]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]
[1,2,7,5,3,6,4,8]=>[1,2,7,6,5,4,3,8]=>[8,7,2,3,4,5,6,1]=>[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]
[1,2,3,7,5,4,8,6]=>[1,2,3,8,6,5,7,4]=>[8,7,6,1,3,4,2,5]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]
[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]=>[8,1,6,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[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]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[2,7,6,3,1,5,8,4]=>[5,8,6,4,1,3,7,2]=>[4,1,3,5,8,6,2,7]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]
[1,8,4,3,6,5,2,7]=>[1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,8,4,6,5,3,2,7]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,2,1,6,5,3,8]=>[7,6,4,3,5,2,1,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[7,6,1,4,3,5,2,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[7,4,1,3,5,2,6,8]=>[7,6,3,4,5,2,1,8]=>[2,3,6,5,4,7,8,1]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[7,3,1,2,4,6,5,8]=>[7,4,3,2,5,6,1,8]=>[2,5,6,7,4,3,8,1]=>[[.,[[[.,[.,[.,.]]],.],[.,.]]],.]
[1,8,6,3,4,5,2,7]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,6,7,4,2,5,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,6,2,1,4,8,5,7]=>[4,7,3,1,5,8,2,6]=>[5,2,6,8,4,1,7,3]=>[[[.,.],[[.,[.,.]],.]],[[.,.],.]]
[3,1,7,2,4,6,8,5]=>[4,2,8,1,5,6,7,3]=>[5,7,1,8,4,3,2,6]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]
[3,4,7,1,5,2,8,6]=>[6,4,8,2,5,1,7,3]=>[3,5,1,7,4,8,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[3,6,7,4,1,5,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,3,2,7,1,5,8,6]=>[5,3,2,8,1,6,7,4]=>[4,6,7,1,8,3,2,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[3,1,2,8,6,5,4,7]=>[3,2,1,8,7,6,5,4]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[5,4,8,6,1,2,3,7]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[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]=>[8,1,6,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[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]=>[5,3,1,8,2,7,4,6]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[3,1,2,8,6,4,7,5]=>[3,2,1,8,7,6,5,4]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[4,1,6,3,5,8,2,7]=>[7,2,5,4,3,8,1,6]=>[2,7,4,5,6,1,8,3]=>[[.,[[.,.],[.,[.,.]]]],[[.,.],.]]
[2,4,5,3,8,6,1,7]=>[7,4,3,2,8,6,1,5]=>[2,5,6,7,1,3,8,4]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]
[1,8,5,3,2,7,6,4]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,8,4,5,2,6,7,3]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[4,1,2,7,6,5,8,3]=>[8,2,3,6,5,4,7,1]=>[1,7,6,3,4,5,2,8]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[2,4,1,6,7,8,5,3]=>[3,8,1,7,5,6,4,2]=>[6,1,8,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,8,4,3,6,2,7,5]=>[1,8,6,4,7,3,5,2]=>[8,1,3,5,2,6,4,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[5,6,7,3,2,8,1,4]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,5,7,3,6,8,4,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,3,2,1,4,8,6,7]=>[5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[5,3,1,4,2,8,6,7]=>[5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[7,6,1,3,8,5,4,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[3,7,2,1,4,8,6,5]=>[[[.,[.,.]],.],[.,[[[.,.],.],.]]]
[3,1,6,4,8,2,5,7]=>[6,2,7,4,8,1,3,5]=>[3,7,2,5,1,8,6,4]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]
[7,3,2,6,8,5,1,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[8,1,2,5,4,3,6,7]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[1,8,4,2,3,5,7,6]=>[1,8,5,4,3,6,7,2]=>[8,1,4,5,6,3,2,7]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[6,4,2,8,3,5,1,7]=>[7,6,5,8,3,2,1,4]=>[2,3,4,1,6,7,8,5]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[6,3,4,8,2,5,7,1]=>[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,3,2,5,8,4,6,1]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[2,3,4,1,6,7,8,5]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[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]=>[2,3,4,1,6,7,8,5]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[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]=>[2,6,7,3,1,5,8,4]=>[[.,[[.,[.,.]],.]],[[.,[.,.]],.]]
[3,5,6,8,2,4,1,7]=>[7,6,5,8,3,2,1,4]=>[2,3,4,1,6,7,8,5]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[3,5,6,8,4,2,1,7]=>[7,6,5,8,3,2,1,4]=>[2,3,4,1,6,7,8,5]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[2,6,7,8,1,4,5,3]=>[5,8,7,6,1,4,3,2]=>[4,1,2,3,8,5,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[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]=>[4,1,2,3,8,5,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[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]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,4,5,2,3,8,1,7]=>[7,5,4,3,2,8,1,6]=>[2,4,5,6,7,1,8,3]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[6,4,5,3,2,8,1,7]=>[7,5,4,3,2,8,1,6]=>[2,4,5,6,7,1,8,3]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[5,4,6,3,8,2,1,7]=>[7,6,4,3,8,2,1,5]=>[2,3,5,6,1,7,8,4]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[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]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[4,5,7,8,3,1,2,6]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[4,5,6,8,2,3,1,7]=>[7,6,5,8,3,2,1,4]=>[2,3,4,1,6,7,8,5]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[5,4,6,2,8,3,1,7]=>[7,6,4,3,8,2,1,5]=>[2,3,5,6,1,7,8,4]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[5,3,2,6,8,4,1,7]=>[7,6,3,4,8,2,1,5]=>[2,3,6,5,1,7,8,4]=>[[.,[.,[[.,.],.]]],[[.,[.,.]],.]]
[4,5,7,8,2,1,3,6]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[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]=>[4,1,2,3,8,5,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[2,6,7,8,1,5,3,4]=>[5,8,7,6,1,4,3,2]=>[4,1,2,3,8,5,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[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]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[4,3,2,7,8,1,6,5]=>[6,3,2,8,7,1,5,4]=>[3,6,7,1,2,8,4,5]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]
[3,5,7,8,2,1,6,4]=>[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[3,6,7,8,1,2,5,4]=>[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[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]=>[4,1,2,3,8,5,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[4,2,7,1,5,3,8,6]=>[6,4,8,2,5,1,7,3]=>[3,5,1,7,4,8,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[4,2,8,6,1,5,3,7]=>[7,5,8,6,2,4,1,3]=>[2,4,1,3,7,5,8,6]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[2,3,6,4,7,1,5,8]=>[6,2,7,4,5,1,3,8]=>[3,7,2,5,4,8,6,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[1,3,4,8,2,7,5,6]=>[1,5,3,8,2,7,6,4]=>[8,4,6,1,7,2,3,5]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[3,1,4,8,2,6,7,5]=>[5,2,3,8,1,7,6,4]=>[4,7,6,1,8,2,3,5]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,4,7,5,1,8,2,3]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,7,3,5,6,1,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,4,6,8,5,1,7,2]=>[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[4,6,8,2,1,5,7,3]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[1,8,2,3,5,7,4,6]=>[1,8,3,4,7,6,5,2]=>[8,1,6,5,2,3,4,7]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[2,7,3,6,1,4,5,8]=>[5,7,3,6,1,4,2,8]=>[4,2,6,3,8,5,7,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[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]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[4,7,5,2,6,1,3,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,6,2,8,1,5,3,7]=>[7,6,5,8,3,2,1,4]=>[2,3,4,1,6,7,8,5]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[4,5,6,2,7,1,3,8]=>[7,6,4,3,5,2,1,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[1,6,2,7,4,8,3,5]=>[1,8,3,7,5,6,4,2]=>[8,1,6,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[6,2,1,7,8,5,3,4]=>[8,3,2,7,6,5,4,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[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]=>[4,1,2,3,8,5,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[2,7,1,8,5,6,3,4]=>[3,8,1,7,6,5,4,2]=>[6,1,8,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[8,2,5,1,6,7,3,4]=>[8,4,7,2,6,5,3,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[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]=>[1,3,6,5,2,7,4,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[7,2,3,4,8,1,5,6]=>[8,6,3,4,7,2,5,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,6,4,8,1,5,7,3]=>[5,8,6,7,1,3,4,2]=>[4,1,3,2,8,6,5,7]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]
[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]=>[3,5,2,7,4,8,6,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[2,6,4,8,1,3,7,5]=>[5,8,6,7,1,3,4,2]=>[4,1,3,2,8,6,5,7]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,6,5,1,4,2,8,3]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[2,6,4,5,1,8,7,3]=>[5,8,4,3,1,7,6,2]=>[4,1,5,6,8,2,3,7]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[3,5,6,4,1,2,7,8]=>[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[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]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[7,6,5,1,4,2,3,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,6,5,1,2,4,3,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,6,5,1,2,4,8,3]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,6,5,1,3,2,8,4]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,6,5,1,3,2,4,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,6,5,1,3,4,2,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,2,3,4,5,1,8,6]=>[8,6,3,4,5,2,7,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[2,6,4,3,1,5,8,7]=>[5,6,4,3,1,2,8,7]=>[4,3,5,6,8,7,1,2]=>[[[.,.],[.,[.,[[.,.],.]]]],[.,.]]
[2,6,4,3,1,8,5,7]=>[5,7,4,3,1,8,2,6]=>[4,2,5,6,8,1,7,3]=>[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]
[2,6,4,3,1,8,7,5]=>[5,8,4,3,1,7,6,2]=>[4,1,5,6,8,2,3,7]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[3,5,8,4,1,2,7,6]=>[6,5,8,4,2,1,7,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[3,5,8,4,1,2,6,7]=>[6,5,8,4,2,1,7,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[3,5,8,4,1,6,2,7]=>[7,5,8,4,2,6,1,3]=>[2,4,1,5,7,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[4,2,8,3,6,1,7,5]=>[6,4,8,2,7,1,5,3]=>[3,5,1,7,2,8,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[2,5,8,4,1,7,3,6]=>[5,7,8,4,1,6,2,3]=>[4,2,1,5,8,3,7,6]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]
[3,5,6,4,1,8,7,2]=>[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[2,6,4,5,1,3,7,8]=>[5,6,4,3,1,2,7,8]=>[4,3,5,6,8,7,2,1]=>[[[[.,.],[.,[.,[[.,.],.]]]],.],.]
[7,6,5,1,4,3,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,6,5,1,2,8,4,3]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,6,5,1,2,8,3,4]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,6,4,5,1,7,2,8]=>[7,5,4,3,2,6,1,8]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[7,8,5,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,5,1,4,8,3,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[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]=>[4,1,2,5,8,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[2,6,5,3,1,4,8,7]=>[5,6,4,3,1,2,8,7]=>[4,3,5,6,8,7,1,2]=>[[[.,.],[.,[.,[[.,.],.]]]],[.,.]]
[3,6,1,4,2,5,8,7]=>[5,6,3,4,1,2,8,7]=>[4,3,6,5,8,7,1,2]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]
[2,6,4,5,7,8,1,3]=>[7,8,4,3,5,6,1,2]=>[2,1,5,6,4,3,8,7]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]
[8,7,1,6,5,2,4,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[4,1,6,5,8,2,3,7]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[8,4,1,6,5,7,3,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,8,3,4,7,5,1,6]=>[7,8,3,4,6,5,1,2]=>[2,1,6,5,3,4,8,7]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,3,2,1,5,4,6]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[6,1,8,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[3,7,1,8,4,5,6,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,2,3,8,4,7,5,1]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,3,5,8,6,7,4,1]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,6,2,5,3,8,1,4]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,5,4,2,8,3,1,7]=>[7,6,4,3,8,2,1,5]=>[2,3,5,6,1,7,8,4]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[5,4,3,1,8,7,2,6]=>[7,4,3,2,8,6,1,5]=>[2,5,6,7,1,3,8,4]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]
[4,7,6,2,8,1,5,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[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]=>[4,1,2,3,8,5,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[6,4,5,8,3,1,2,7]=>[7,6,5,8,3,2,1,4]=>[2,3,4,1,6,7,8,5]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[8,1,3,2,5,6,7,4]=>[8,2,4,3,7,6,5,1]=>[1,7,5,6,2,3,4,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[3,2,8,7,4,5,1,6]=>[7,2,8,6,5,4,1,3]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[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]=>[7,8,2,1,3,4,6,5]=>[[[.,[.,.]],.],[.,[.,[[.,.],.]]]]
[6,2,8,1,7,5,4,3]=>[8,4,7,2,6,5,3,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[2,6,5,4,8,1,3,7]=>[6,7,4,3,8,1,2,5]=>[3,2,5,6,1,8,7,4]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]
[6,5,3,4,8,1,7,2]=>[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[8,4,3,2,5,1,7,6]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[4,2,8,1,5,3,6,7]=>[6,4,8,2,5,1,7,3]=>[3,5,1,7,4,8,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[5,1,8,2,6,4,3,7]=>[7,2,8,4,6,5,1,3]=>[2,7,1,5,3,4,8,6]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[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]=>[7,8,2,1,4,3,6,5]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]
[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]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[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]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,2,7,5,6,3,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[3,4,7,5,6,2,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,7,3,5,6,2,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[3,7,2,5,6,4,1,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,2,8,5,1,7,4,3]=>[8,5,7,6,2,4,3,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[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]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[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]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[1,8,2,5,6,4,3,7]=>[1,8,3,7,6,5,4,2]=>[8,1,6,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[6,1,8,5,3,7,4,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,8,1,5,2,7,6,4]=>[5,8,3,7,1,6,4,2]=>[4,1,6,2,8,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,5,2,4,6,7,8,3]=>[1,8,3,4,5,6,7,2]=>[8,1,6,5,4,3,2,7]=>[[.,.],[[[[[.,.],.],.],.],[.,.]]]
[4,1,5,3,6,7,8,2]=>[8,2,4,3,5,6,7,1]=>[1,7,5,6,4,3,2,8]=>[.,[[[[[.,.],[.,.]],.],.],[.,.]]]
[8,1,6,5,3,7,2,4]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[4,7,1,5,8,3,2,6]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[7,6,4,3,1,2,8,5]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,6,3,5,1,7,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,5,3,1,6,7,8,2]=>[8,4,3,2,5,6,7,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,[.,[.,.]]],.],.],[.,.]]]
[3,5,2,1,6,7,8,4]=>[4,8,3,1,5,6,7,2]=>[5,1,6,8,4,3,2,7]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]
[5,2,3,1,6,7,8,4]=>[8,4,3,2,5,6,7,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,[.,[.,.]]],.],.],[.,.]]]
[1,5,3,2,6,7,8,4]=>[1,8,4,3,5,6,7,2]=>[8,1,5,6,4,3,2,7]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,2,5,6,1,7,8,4]=>[5,2,8,4,1,6,7,3]=>[4,7,1,5,8,3,2,6]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[3,2,8,7,6,1,4,5]=>[6,2,8,7,5,1,4,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,7,4,6,1,3,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[3,5,6,7,1,8,2,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[3,5,4,2,7,1,8,6]=>[6,4,3,2,8,1,7,5]=>[3,5,6,7,1,8,2,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,5,4,1,2,6,8,3]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[1,7,4,2,3,6,8,5]=>[1,8,5,4,3,6,7,2]=>[8,1,4,5,6,3,2,7]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[1,8,2,5,3,7,6,4]=>[1,8,3,7,5,6,4,2]=>[8,1,6,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[6,8,1,5,4,7,3,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,2,1,5,6,4,3,7]=>[8,3,2,7,6,5,4,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[3,8,1,5,6,4,2,7]=>[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[3,2,8,1,6,5,4,7]=>[4,2,8,1,7,6,5,3]=>[5,7,1,8,2,3,4,6]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[3,2,6,1,5,7,8,4]=>[4,2,8,1,5,6,7,3]=>[5,7,1,8,4,3,2,6]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]
[7,6,4,1,5,2,8,3]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,6,1,5,4,7,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,5,1,4,6,7,8,2]=>[8,4,3,2,5,6,7,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,[.,[.,.]]],.],.],[.,.]]]
[5,2,1,4,6,7,8,3]=>[8,3,2,4,5,6,7,1]=>[1,6,7,5,4,3,2,8]=>[.,[[[[[.,[.,.]],.],.],.],[.,.]]]
[5,4,1,3,6,7,8,2]=>[8,4,3,2,5,6,7,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,[.,[.,.]]],.],.],[.,.]]]
[7,5,4,1,3,2,8,6]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[5,1,3,4,6,7,8,2]=>[8,2,4,3,5,6,7,1]=>[1,7,5,6,4,3,2,8]=>[.,[[[[[.,.],[.,.]],.],.],[.,.]]]
[3,1,8,2,5,7,4,6]=>[4,2,8,1,7,6,5,3]=>[5,7,1,8,2,3,4,6]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[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]=>[6,1,8,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[2,6,1,3,8,7,5,4]=>[3,8,1,4,7,6,5,2]=>[6,1,8,5,2,3,4,7]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[2,6,8,1,5,7,4,3]=>[4,8,7,1,6,5,3,2]=>[5,1,2,8,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[2,7,1,5,8,4,6,3]=>[3,8,1,7,6,5,4,2]=>[6,1,8,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[2,7,1,6,4,8,3,5]=>[3,8,1,7,5,6,4,2]=>[6,1,8,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[2,7,1,6,5,3,8,4]=>[3,8,1,6,5,4,7,2]=>[6,1,8,3,4,5,2,7]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[2,8,1,7,6,5,4,3]=>[3,8,1,7,6,5,4,2]=>[6,1,8,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[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]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[4,1,7,2,8,6,5,3]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[3,7,1,8,6,5,4,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,7,6,1,4,2,5,8]=>[6,7,5,4,3,1,2,8]=>[3,2,4,5,6,8,7,1]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[3,7,5,1,4,6,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[7,4,2,8,1,6,5,3]=>[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]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,4,6,2,1,8,3,5]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,7,6,1,5,3,2,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,1,7,6,3,8,2,4]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,6,8,4,2,7,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,5,2,7,1,3,8,4]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[4,5,6,7,8,9,1,2,3]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]]
[6,5,4,3,2,1,8,7,9]=>[6,5,4,3,2,1,8,7,9]=>[4,5,6,7,8,9,2,3,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]],.]
[5,4,3,2,1,9,8,7,6]=>[5,4,3,2,1,9,8,7,6]=>[5,6,7,8,9,1,2,3,4]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,.]]]]
[4,3,2,1,8,7,6,5,9]=>[4,3,2,1,8,7,6,5,9]=>[6,7,8,9,2,3,4,5,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]],.]
[2,1,4,3,5,6,7,8,9]=>[2,1,4,3,5,6,7,8,9]=>[8,9,6,7,5,4,3,2,1]=>[[[[[[[.,[.,.]],[.,.]],.],.],.],.],.]
[7,6,5,4,3,2,1,10,9,8]=>[7,6,5,4,3,2,1,10,9,8]=>[4,5,6,7,8,9,10,1,2,3]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,[.,.]]]
[7,6,5,4,3,2,1,9,8,10]=>[7,6,5,4,3,2,1,9,8,10]=>[4,5,6,7,8,9,10,2,3,1]=>[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]],.]
[3,2,1,6,5,4,9,8,7,10]=>[3,2,1,6,5,4,9,8,7,10]=>[8,9,10,5,6,7,2,3,4,1]=>[[[[.,[.,[.,.]]],[.,[.,.]]],[.,[.,.]]],.]
[5,6,3,7,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[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]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[3,7,2,4,6,5,1,8]=>[7,6,3,4,5,2,1,8]=>[2,3,6,5,4,7,8,1]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[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]=>[8,2,1,3,4,5,7,6]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[6,2,8,4,1,5,7,3]=>[8,5,7,6,2,4,3,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[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]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[6,1,4,8,5,3,7,2]=>[8,2,6,7,5,3,4,1]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[1,4,8,5,2,6,7,3]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[6,1,8,4,3,7,2,5]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,7,1,4,2,5,8,6]=>[5,8,3,4,1,6,7,2]=>[4,1,6,5,8,3,2,7]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]
[6,1,8,5,3,2,7,4]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,1,4,6,3,8,5,2]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[3,2,6,4,1,8,7,5]=>[5,2,8,4,1,7,6,3]=>[4,7,1,5,8,2,3,6]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[7,6,4,3,1,8,2,5]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[8,1,4,2,6,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[7,6,3,2,1,8,5,4]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[3,5,6,7,1,8,2,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[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]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,8,3,1,2,4,7,6]=>[6,8,5,4,3,1,7,2]=>[3,1,4,5,6,8,2,7]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[8,1,3,2,4,5,6,7]=>[8,2,4,3,5,6,7,1]=>[1,7,5,6,4,3,2,8]=>[.,[[[[[.,.],[.,.]],.],.],[.,.]]]
[8,2,1,6,5,4,7,3]=>[8,3,2,7,6,5,4,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[3,8,1,5,6,4,7,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[5,7,1,8,2,3,4,6]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[7,6,4,1,5,2,3,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,6,1,5,4,7,3,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,5,1,4,6,7,2,8]=>[7,4,3,2,5,6,1,8]=>[2,5,6,7,4,3,8,1]=>[[.,[[[.,[.,[.,.]]],.],[.,.]]],.]
[5,2,1,4,7,6,3,8]=>[7,3,2,4,6,5,1,8]=>[2,6,7,5,3,4,8,1]=>[[.,[[[.,[.,.]],.],[.,[.,.]]]],.]
[4,5,8,2,1,3,7,6]=>[6,5,8,4,2,1,7,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[5,8,2,3,1,4,6,7]=>[6,8,5,4,3,1,7,2]=>[3,1,4,5,6,8,2,7]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[4,2,1,3,5,8,7,6]=>[4,3,2,1,5,8,7,6]=>[5,6,7,8,4,1,2,3]=>[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]]
[8,5,4,1,3,6,2,7]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,2,5,1,4,6,8,7]=>[4,2,5,1,3,6,8,7]=>[5,7,4,8,6,3,1,2]=>[[[[.,[.,.]],[[.,.],.]],.],[.,.]]
[8,1,4,3,5,6,7,2]=>[8,2,7,4,5,6,3,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[4,1,3,2,5,7,6,8]=>[4,2,3,1,5,7,6,8]=>[5,7,6,8,4,2,3,1]=>[[[[.,[[.,.],[.,.]]],.],[.,.]],.]
[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]=>[3,2,4,5,6,8,7,1]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[4,6,7,3,1,5,2,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,1,8,2,3,4,7,5]=>[8,2,7,4,5,6,3,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[5,1,8,4,6,3,7,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,1,8,3,5,7,2,6]=>[7,2,8,4,5,6,1,3]=>[2,7,1,5,4,3,8,6]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[3,4,7,2,6,1,8,5]=>[6,4,8,2,5,1,7,3]=>[3,5,1,7,4,8,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[4,5,7,3,2,6,8,1]=>[8,5,6,4,2,3,7,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[4,5,7,2,3,6,8,1]=>[8,5,6,4,2,3,7,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[2,6,3,4,7,5,8,1]=>[8,6,3,4,5,2,7,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[3,6,4,2,7,5,8,1]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[4,5,2,7,1,6,8,3]=>[8,5,3,6,2,4,7,1]=>[1,4,6,3,7,5,2,8]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[3,4,1,6,5,8,2,7]=>[7,3,2,5,4,8,1,6]=>[2,6,7,4,5,1,8,3]=>[[.,[[.,[.,.]],[.,.]]],[[.,.],.]]
[4,1,2,8,5,7,3,6]=>[7,2,3,8,5,6,1,4]=>[2,7,6,1,4,3,8,5]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[5,1,4,8,6,2,7,3]=>[8,2,6,7,5,3,4,1]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[5,6,3,1,7,4,2,8]=>[7,6,4,3,5,2,1,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[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]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[7,1,3,8,5,2,4,6]=>[8,2,6,7,5,3,4,1]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[3,2,6,7,1,8,4,5]=>[5,2,8,7,1,6,4,3]=>[4,7,1,2,8,3,5,6]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[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]=>[1,7,2,5,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[2,1,3,4,8,7,5,6]=>[2,1,3,4,8,7,6,5]=>[7,8,6,5,1,2,3,4]=>[[[[.,[.,.]],.],.],[.,[.,[.,.]]]]
[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]=>[4,1,2,3,8,5,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,1,8,7,6,5,4,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[4,2,8,1,7,6,5,3]=>[8,4,7,2,6,5,3,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[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]=>[4,1,2,5,8,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,4,1,8,7,6,3,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[6,1,4,2,3,5,8,7]=>[6,2,5,4,3,1,8,7]=>[3,7,4,5,6,8,1,2]=>[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]
[8,6,1,4,2,3,5,7]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,8,1,4,2,3,5,7]=>[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[4,1,8,2,3,6,5,7]=>[5,2,8,4,1,7,6,3]=>[4,7,1,5,8,2,3,6]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[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]=>[2,4,6,1,7,3,8,5]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[4,6,2,3,8,1,5,7]=>[6,7,4,3,8,1,2,5]=>[3,2,5,6,1,8,7,4]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]
[4,8,2,3,6,1,5,7]=>[6,8,4,3,7,1,5,2]=>[3,1,5,6,2,8,4,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[8,4,3,6,2,1,5,7]=>[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[6,2,3,8,4,1,5,7]=>[7,6,3,8,5,2,1,4]=>[2,3,6,1,4,7,8,5]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[8,4,2,3,6,1,5,7]=>[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[6,4,2,3,8,1,5,7]=>[7,6,4,3,8,2,1,5]=>[2,3,5,6,1,7,8,4]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[2,6,4,3,8,1,5,7]=>[6,7,4,3,8,1,2,5]=>[3,2,5,6,1,8,7,4]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]
[2,8,4,3,6,1,5,7]=>[6,8,4,3,7,1,5,2]=>[3,1,5,6,2,8,4,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[2,6,3,8,4,1,5,7]=>[6,7,3,8,5,1,2,4]=>[3,2,6,1,4,8,7,5]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]
[6,3,8,4,2,1,5,7]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[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]=>[4,1,6,2,8,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[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]=>[3,1,6,2,4,8,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[8,3,6,2,4,1,5,7]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[6,2,1,3,8,4,5,7]=>[7,3,2,4,8,6,1,5]=>[2,6,7,5,1,3,8,4]=>[[.,[[.,[.,.]],.]],[.,[[.,.],.]]]
[6,2,4,3,8,1,5,7]=>[7,6,4,3,8,2,1,5]=>[2,3,5,6,1,7,8,4]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[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]=>[8,1,3,5,4,6,2,7]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[1,4,7,2,5,6,8,3]=>[1,8,6,4,5,3,7,2]=>[8,1,3,5,4,6,2,7]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[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]=>[8,1,4,5,6,3,2,7]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[4,2,5,3,6,1,7,8]=>[6,4,3,2,5,1,7,8]=>[3,5,6,7,4,8,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[7,1,5,3,6,2,8,4]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[1,6,5,2,4,8,7,3]=>[1,8,5,4,3,7,6,2]=>[8,1,4,5,6,2,3,7]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[1,4,6,2,8,5,7,3]=>[1,8,6,4,7,3,5,2]=>[8,1,3,5,2,6,4,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[7,8,1,4,2,5,6,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,4,8,5,2,1,6,7]=>[6,5,8,4,2,1,7,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[4,8,5,3,1,6,2,7]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[6,1,3,5,8,2,7,4]=>[8,2,6,4,7,3,5,1]=>[1,7,3,5,2,6,4,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[6,1,8,7,4,2,3,5]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,2,8,5,7,3,6,4]=>[1,2,8,7,6,5,4,3]=>[8,7,1,2,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,3,6,8,7,5,2,4]=>[1,7,8,6,5,4,2,3]=>[8,2,1,3,4,5,7,6]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[1,8,2,5,4,7,6,3]=>[1,8,3,7,5,6,4,2]=>[8,1,6,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[7,1,2,4,5,8,6,3]=>[8,2,3,7,5,6,4,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[1,2,7,3,5,8,6,4]=>[1,2,8,4,7,6,5,3]=>[8,7,1,5,2,3,4,6]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[6,1,3,2,5,7,8,4]=>[8,2,4,3,5,6,7,1]=>[1,7,5,6,4,3,2,8]=>[.,[[[[[.,.],[.,.]],.],.],[.,.]]]
[4,6,2,1,7,5,3,8]=>[7,6,4,3,5,2,1,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[1,6,3,7,8,5,2,4]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,6,2,3,7,8,1,5]=>[7,8,4,3,5,6,1,2]=>[2,1,5,6,4,3,8,7]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]
[4,6,3,7,1,2,8,5]=>[6,8,5,4,3,1,7,2]=>[3,1,4,5,6,8,2,7]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[4,2,1,3,5,7,8,6]=>[4,3,2,1,5,8,7,6]=>[5,6,7,8,4,1,2,3]=>[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]]
[7,3,2,4,5,1,8,6]=>[8,6,3,4,5,2,7,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[3,8,2,5,4,1,7,6]=>[6,8,3,5,4,1,7,2]=>[3,1,6,4,5,8,2,7]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[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]=>[2,5,1,7,3,4,8,6]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[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]=>[2,4,1,5,7,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[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]=>[2,4,5,6,7,1,8,3]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[6,5,3,8,4,2,1,7]=>[7,6,5,8,3,2,1,4]=>[2,3,4,1,6,7,8,5]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[6,1,7,8,9,10,2,3,4,5]=>[10,2,9,8,7,6,5,4,3,1]=>[1,9,2,3,4,5,6,7,8,10]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[6,7,8,9,1,2,3,4,10,5]=>[10,8,7,6,5,4,3,2,9,1]=>[1,3,4,5,6,7,8,9,2,10]=>[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[5,2,3,8,4,6,7,1]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[2,1,6,3,5,8,7,4]=>[2,1,8,4,5,7,6,3]=>[7,8,1,5,4,2,3,6]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]
[2,4,1,3,8,5,7,6]=>[3,4,1,2,8,6,7,5]=>[6,5,8,7,1,3,2,4]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]
[2,4,1,3,5,8,7,6]=>[3,4,1,2,5,8,7,6]=>[6,5,8,7,4,1,2,3]=>[[[[.,.],[[.,.],.]],.],[.,[.,.]]]
[4,6,1,3,5,8,7,2]=>[8,5,3,4,2,7,6,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[6,4,1,3,5,8,7,2]=>[8,5,3,4,2,7,6,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[4,2,1,3,6,5,7,8]=>[4,3,2,1,6,5,7,8]=>[5,6,7,8,3,4,2,1]=>[[[[.,[.,[.,[.,.]]]],[.,.]],.],.]
[4,2,1,6,3,5,7,8]=>[5,3,2,6,1,4,7,8]=>[4,6,7,3,8,5,2,1]=>[[[[.,[.,[.,.]]],[[.,.],.]],.],.]
[6,1,4,3,8,5,7,2]=>[8,2,6,4,7,3,5,1]=>[1,7,3,5,2,6,4,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[1,6,4,3,8,5,7,2]=>[1,8,6,4,7,3,5,2]=>[8,1,3,5,2,6,4,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[8,1,4,3,6,5,7,2]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,2,1,4,3,5,7,6]=>[8,3,2,5,4,6,7,1]=>[1,6,7,4,5,3,2,8]=>[.,[[[[.,[.,.]],[.,.]],.],[.,.]]]
[6,2,1,4,3,5,7,8]=>[6,3,2,5,4,1,7,8]=>[3,6,7,4,5,8,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[8,2,6,1,3,5,7,4]=>[8,4,7,2,5,6,3,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,1,4,6,3,5,7,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,8,4,6,3,5,7,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,6,4,8,3,5,7,2]=>[1,8,6,7,5,3,4,2]=>[8,1,3,2,4,6,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[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]=>[1,5,2,7,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[4,6,8,1,3,5,7,2]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[4,1,6,8,3,5,7,2]=>[8,2,6,7,5,3,4,1]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[1,4,6,3,8,5,7,2]=>[1,8,6,4,7,3,5,2]=>[8,1,3,5,2,6,4,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[4,6,1,3,8,5,7,2]=>[8,6,3,4,7,2,5,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[2,4,1,8,3,5,7,6]=>[3,5,1,8,2,6,7,4]=>[6,4,8,1,7,3,2,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[4,1,3,6,8,5,7,2]=>[8,2,3,6,7,4,5,1]=>[1,7,6,3,2,5,4,8]=>[.,[[[[.,.],.],.],[[.,.],[.,.]]]]
[1,4,3,6,8,5,7,2]=>[1,8,3,6,7,4,5,2]=>[8,1,6,3,2,5,4,7]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[4,1,3,8,6,5,7,2]=>[8,2,3,7,6,5,4,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[2,1,6,4,3,5,7,8]=>[2,1,6,5,4,3,7,8]=>[7,8,3,4,5,6,2,1]=>[[[[.,[.,.]],[.,[.,[.,.]]]],.],.]
[2,6,1,4,3,5,7,8]=>[3,6,1,5,4,2,7,8]=>[6,3,8,4,5,7,2,1]=>[[[[.,.],[[.,.],[.,[.,.]]]],.],.]
[2,8,1,4,3,5,7,6]=>[3,8,1,5,4,6,7,2]=>[6,1,8,4,5,3,2,7]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]
[2,8,1,6,3,5,7,4]=>[3,8,1,7,5,6,4,2]=>[6,1,8,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,4,8,3,6,5,7,2]=>[1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,4,8,6,3,5,7,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,1,8,6,3,5,7,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,8,1,6,3,5,7,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,8,6,1,3,5,7,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,8,4,1,3,5,7,6]=>[4,8,5,1,3,6,7,2]=>[5,1,4,8,6,3,2,7]=>[[.,.],[[[.,[[.,.],.]],.],[.,.]]]
[4,6,2,1,3,5,7,8]=>[5,6,4,3,1,2,7,8]=>[4,3,5,6,8,7,2,1]=>[[[[.,.],[.,[.,[[.,.],.]]]],.],.]
[6,8,1,4,3,5,7,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,1,8,4,3,5,7,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,6,8,4,3,5,7,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,6,4,3,5,7,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,1,6,4,3,5,7,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,6,1,4,3,5,7,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,6,4,1,3,5,7,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[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]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[5,6,4,2,7,3,1,8]=>[7,6,4,3,5,2,1,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[5,7,1,4,6,3,2,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[5,8,1,4,6,3,7,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,6,7,4,5,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,5,7,4,6,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,8,4,1,7,2,5,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,6,4,1,8,7,3,2]=>[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,7,1,4,5,3,2,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[3,7,1,5,4,6,2,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[5,6,4,2,7,3,8,1]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[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]=>[2,3,5,6,1,7,8,4]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[5,8,1,4,6,3,2,7]=>[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[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]=>[3,4,6,5,7,8,2,1]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,4,1,2,7,6,5,8]=>[4,3,2,1,7,6,5,8]=>[5,6,7,8,2,3,4,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[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]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[7,8,1,4,5,3,2,6]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,8,1,5,4,7,2,6]=>[7,8,3,5,4,6,1,2]=>[2,1,6,4,5,3,8,7]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[3,6,1,5,4,8,7,2]=>[8,5,3,4,2,7,6,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[3,6,1,5,4,7,2,8]=>[7,5,3,4,2,6,1,8]=>[2,4,6,5,7,3,8,1]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[6,7,3,1,4,2,5,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[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]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[3,8,1,5,4,2,7,6]=>[6,8,3,5,4,1,7,2]=>[3,1,6,4,5,8,2,7]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[5,8,1,4,7,3,6,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,8,3,1,4,7,5,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,4,1,2,8,5,7,6]=>[4,3,2,1,8,6,7,5]=>[5,6,7,8,1,3,2,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[3,4,1,2,5,8,7,6]=>[4,3,2,1,5,8,7,6]=>[5,6,7,8,4,1,2,3]=>[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]]
[3,7,1,5,4,2,8,6]=>[6,8,3,5,4,1,7,2]=>[3,1,6,4,5,8,2,7]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[6,7,3,1,4,5,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,8,1,5,4,2,6,7]=>[6,8,3,5,4,1,7,2]=>[3,1,6,4,5,8,2,7]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[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]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[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]=>[3,4,6,1,7,8,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[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]=>[1,7,2,5,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[7,8,2,1,5,6,4,3]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[1,6,2,5,8,4,3,7]=>[1,7,3,6,8,4,2,5]=>[8,2,6,3,1,5,7,4]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]]
[2,1,8,7,4,5,3,6]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[7,3,1,6,8,5,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,5,8,6,2,3,7,4]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,4,8,3,1,6,5,7]=>[5,4,8,2,1,7,6,3]=>[4,5,1,7,8,2,3,6]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[5,2,7,1,8,6,3,4]=>[8,4,7,2,6,5,3,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[2,6,1,3,8,7,4,5]=>[3,8,1,4,7,6,5,2]=>[6,1,8,5,2,3,4,7]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[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]=>[4,1,6,2,8,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[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]=>[4,1,2,3,8,5,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[2,8,3,4,1,7,5,6]=>[5,8,3,4,1,7,6,2]=>[4,1,6,5,8,2,3,7]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[5,4,2,8,3,1,7,6]=>[6,5,3,8,2,1,7,4]=>[3,4,6,1,7,8,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[2,8,4,3,1,7,6,5]=>[5,8,4,3,1,7,6,2]=>[4,1,5,6,8,2,3,7]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[2,8,5,3,1,7,6,4]=>[5,8,7,4,1,6,3,2]=>[4,1,2,5,8,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[2,8,6,4,1,7,5,3]=>[5,8,7,6,1,4,3,2]=>[4,1,2,3,8,5,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[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]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[3,7,8,5,1,2,6,4]=>[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[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]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,3,2,4,8,1,5,7]=>[7,6,3,4,8,2,1,5]=>[2,3,6,5,1,7,8,4]=>[[.,[.,[[.,.],.]]],[[.,[.,.]],.]]
[2,3,8,4,1,6,7,5]=>[5,2,8,4,1,7,6,3]=>[4,7,1,5,8,2,3,6]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[2,3,8,5,1,6,7,4]=>[5,2,8,7,1,6,4,3]=>[4,7,1,2,8,3,5,6]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[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]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[2,4,8,6,1,5,7,3]=>[5,8,7,6,1,4,3,2]=>[4,1,2,3,8,5,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[2,5,8,6,1,4,7,3]=>[5,8,7,6,1,4,3,2]=>[4,1,2,3,8,5,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[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]=>[4,1,2,3,8,5,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[2,6,8,4,1,3,7,5]=>[5,8,7,6,1,4,3,2]=>[4,1,2,3,8,5,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[2,5,8,3,1,4,7,6]=>[5,6,8,4,1,2,7,3]=>[4,3,1,5,8,7,2,6]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]
[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]=>[4,7,5,6,8,1,2,3]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]
[2,3,6,4,8,1,5,7]=>[6,2,7,4,8,1,3,5]=>[3,7,2,5,1,8,6,4]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]
[1,8,4,6,3,5,2,7]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,4,8,6,2,1,3,7]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[2,3,6,8,1,5,4,7]=>[5,2,7,8,1,6,3,4]=>[4,7,2,1,8,3,6,5]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]
[2,5,6,1,4,7,8,3]=>[4,8,5,1,3,6,7,2]=>[5,1,4,8,6,3,2,7]=>[[.,.],[[[.,[[.,.],.]],.],[.,.]]]
[7,3,5,1,6,8,4,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,7,6,1,8,5,4,3]=>[4,8,7,1,6,5,3,2]=>[5,1,2,8,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[2,7,6,8,1,4,5,3]=>[5,8,7,6,1,4,3,2]=>[4,1,2,3,8,5,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[1,8,7,6,3,2,5,4]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,7,6,3,2,4,5]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[5,1,2,8,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[6,3,5,1,7,2,4,8]=>[7,6,4,3,5,2,1,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[2,3,4,7,6,1,5,8]=>[6,2,3,7,5,1,4,8]=>[3,7,6,2,4,8,5,1]=>[[[.,[[.,.],.]],[.,[[.,.],.]]],.]
[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]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,8,4,5,2,7,6,3]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[7,3,5,8,4,1,6,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,3,5,4,6,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,3,5,4,7,1,8,2]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[6,3,5,4,7,1,2,8]=>[7,6,4,3,5,2,1,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[3,7,1,6,8,5,2,4]=>[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[2,3,1,8,6,4,7,5]=>[3,2,1,8,7,6,5,4]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[1,8,4,3,6,2,5,7]=>[1,8,6,4,7,3,5,2]=>[8,1,3,5,2,6,4,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[2,3,1,8,6,4,5,7]=>[3,2,1,8,7,6,5,4]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[3,7,1,6,8,5,4,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,3,5,4,7,2,1,8]=>[7,6,4,3,5,2,1,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[7,3,5,4,6,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[6,4,8,5,3,1,2,7]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[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]=>[2,7,6,4,5,1,8,3]=>[[.,[[[.,.],.],[.,.]]],[[.,.],.]]
[2,3,4,7,5,1,8,6]=>[6,2,3,8,5,1,7,4]=>[3,7,6,1,4,8,2,5]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]
[2,3,4,7,5,1,6,8]=>[6,2,3,7,5,1,4,8]=>[3,7,6,2,4,8,5,1]=>[[[.,[[.,.],.]],[.,[[.,.],.]]],.]
[2,3,4,7,1,6,5,8]=>[5,2,3,7,1,6,4,8]=>[4,7,6,2,8,3,5,1]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]
[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]=>[4,7,6,1,8,2,3,5]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]
[6,3,5,8,4,2,7,1]=>[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[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]=>[2,3,4,1,6,7,8,5]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[5,2,4,6,8,3,7,1]=>[8,6,3,4,7,2,5,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,4,1,7,8,3,2,6]=>[7,6,3,8,5,2,1,4]=>[2,3,6,1,4,7,8,5]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[5,1,8,4,6,3,2,7]=>[7,2,8,6,5,4,1,3]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[8,1,6,4,5,3,2,7]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,3,5,4,6,2,7]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[8,1,6,2,4,3,5,7]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[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]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[1,7,2,5,4,3,6,8]=>[1,7,3,6,5,4,2,8]=>[8,2,6,3,4,5,7,1]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,1,6,3,4,5,2,7]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,2,5,4,3,6,7]=>[8,2,3,6,5,4,7,1]=>[1,7,6,3,4,5,2,8]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[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]=>[4,7,1,2,8,3,5,6]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[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]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[3,5,2,8,6,1,4,7]=>[6,7,3,8,5,1,2,4]=>[3,2,6,1,4,8,7,5]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]
[3,7,2,5,1,4,8,6]=>[5,8,3,6,1,4,7,2]=>[4,1,6,3,8,5,2,7]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]
[5,1,8,6,2,3,4,7]=>[7,2,8,6,5,4,1,3]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[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]=>[8,1,6,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[8,1,3,6,4,7,2,5]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,1,3,6,4,8,2,5]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[7,5,4,1,3,8,2,6]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,4,6,3,7,5,2,8]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[1,3,7,2,5,8,4,6]=>[1,4,8,2,7,6,5,3]=>[8,5,1,7,2,3,4,6]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[1,7,2,3,5,8,4,6]=>[1,8,3,4,7,6,5,2]=>[8,1,6,5,2,3,4,7]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[7,4,8,1,3,6,2,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,6,1,4,7,3,2,5]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,6,3,7,1,4,8,5]=>[5,8,3,6,1,4,7,2]=>[4,1,6,3,8,5,2,7]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]
[2,6,3,8,1,4,7,5]=>[5,8,3,7,1,6,4,2]=>[4,1,6,2,8,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[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]=>[6,7,8,1,3,4,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,5,2,6,7,1,8,4]=>[6,8,3,4,5,1,7,2]=>[3,1,6,5,4,8,2,7]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]
[3,2,8,4,7,5,1,6]=>[7,2,8,4,6,5,1,3]=>[2,7,1,5,3,4,8,6]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[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]=>[3,1,6,2,4,8,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[6,1,2,8,3,4,7,5]=>[8,2,3,7,5,6,4,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[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]=>[3,1,6,4,5,8,2,7]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[6,8,4,2,5,1,7,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,3,1,4,7,2,6,5]=>[8,6,3,4,7,2,5,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[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]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[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]=>[8,7,1,5,2,3,4,6]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[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]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[5,6,1,7,3,4,2,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[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]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[2,8,1,7,6,5,3,4]=>[3,8,1,7,6,5,4,2]=>[6,1,8,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[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]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[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]=>[3,7,4,5,6,8,1,2]=>[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]
[4,2,3,8,7,5,1,6]=>[7,3,2,8,6,5,1,4]=>[2,6,7,1,3,4,8,5]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]
[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]=>[4,6,7,1,8,3,2,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[4,2,3,7,8,5,1,6]=>[7,3,2,8,6,5,1,4]=>[2,6,7,1,3,4,8,5]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,2,4,7,8,1,5,6]=>[6,2,3,8,7,1,5,4]=>[3,7,6,1,2,8,4,5]=>[[.,[[.,.],.]],[.,[[.,.],[.,.]]]]
[3,2,4,8,7,1,5,6]=>[6,2,3,8,7,1,5,4]=>[3,7,6,1,2,8,4,5]=>[[.,[[.,.],.]],[.,[[.,.],[.,.]]]]
[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]=>[1,3,6,5,2,7,4,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[7,3,2,4,8,1,5,6]=>[8,6,3,4,7,2,5,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[2,5,3,7,1,6,4,8]=>[5,7,3,6,1,4,2,8]=>[4,2,6,3,8,5,7,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[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]=>[2,7,3,1,4,6,8,5]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]
[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]=>[4,6,7,2,8,3,5,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[3,2,4,7,6,1,5,8]=>[6,2,3,7,5,1,4,8]=>[3,7,6,2,4,8,5,1]=>[[[.,[[.,.],.]],[.,[[.,.],.]]],.]
[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]=>[4,1,3,5,8,6,2,7]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]
[3,2,4,6,1,5,7,8]=>[5,2,3,6,1,4,7,8]=>[4,7,6,3,8,5,2,1]=>[[[[.,[[.,.],.]],[[.,.],.]],.],.]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,4,1,3,6,7,2,8]=>[7,4,3,2,5,6,1,8]=>[2,5,6,7,4,3,8,1]=>[[.,[[[.,[.,[.,.]]],.],[.,.]]],.]
[8,4,1,2,6,3,7,5]=>[8,6,3,4,7,2,5,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[8,2,7,1,5,3,4,6]=>[8,4,7,2,6,5,3,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[3,2,7,1,5,8,4,6]=>[4,2,8,1,7,6,5,3]=>[5,7,1,8,2,3,4,6]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[6,3,7,1,5,4,2,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,6,3,1,5,4,2,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[3,6,2,1,5,8,4,7]=>[4,7,3,1,5,8,2,6]=>[5,2,6,8,4,1,7,3]=>[[[.,.],[[.,[.,.]],.]],[[.,.],.]]
[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]=>[5,7,1,8,2,3,4,6]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[7,1,3,2,8,6,4,5]=>[8,2,4,3,7,6,5,1]=>[1,7,5,6,2,3,4,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[7,1,6,2,8,3,4,5]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[4,7,1,2,6,3,8,5]=>[6,8,3,4,5,1,7,2]=>[3,1,6,5,4,8,2,7]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]
[2,7,8,1,5,3,4,6]=>[4,8,7,1,6,5,3,2]=>[5,1,2,8,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[6,7,2,1,5,3,4,8]=>[7,6,4,3,5,2,1,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[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]=>[5,2,3,8,4,6,7,1]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[3,7,1,4,5,6,8,2]=>[8,6,3,4,5,2,7,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[7,1,6,4,5,8,3,2]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[3,5,1,4,7,6,8,2]=>[8,4,3,2,6,5,7,1]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[2,6,4,1,7,5,3,8]=>[4,7,6,1,5,3,2,8]=>[5,2,3,8,4,6,7,1]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[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]=>[2,5,1,7,3,4,8,6]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[6,2,4,1,8,5,3,7]=>[7,4,6,2,8,3,1,5]=>[2,5,3,7,1,6,8,4]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]
[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]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[7,1,5,8,4,3,6,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,8,1,6,4,3,7,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,3,1,8,4,6,7,2]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[8,2,6,1,4,5,3,7]=>[8,4,7,2,6,5,3,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,2,8,1,4,5,3,7]=>[7,4,8,2,6,5,1,3]=>[2,5,1,7,3,4,8,6]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[2,8,6,1,5,3,4,7]=>[4,8,7,1,6,5,3,2]=>[5,1,2,8,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[4,2,1,5,6,3,8,7]=>[6,3,2,4,5,1,8,7]=>[3,6,7,5,4,8,1,2]=>[[.,[[[.,[.,.]],.],[.,.]]],[.,.]]
[7,1,2,5,8,3,4,6]=>[8,2,3,7,6,5,4,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[7,1,4,5,6,8,3,2]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[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]=>[5,2,3,8,4,6,7,1]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[3,5,1,7,4,6,8,2]=>[8,5,3,6,2,4,7,1]=>[1,4,6,3,7,5,2,8]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[7,1,5,6,4,8,3,2]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[7,1,6,5,4,8,3,2]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[2,7,6,1,4,5,3,8]=>[4,7,6,1,5,3,2,8]=>[5,2,3,8,4,6,7,1]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[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]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[5,3,6,2,1,8,7,4]=>[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[5,3,7,2,1,4,6,8]=>[6,5,7,4,2,1,3,8]=>[3,4,2,5,7,8,6,1]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[7,2,4,5,8,3,1,6]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,2,4,5,1,8,7,3]=>[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[3,1,4,5,2,8,7,6]=>[5,2,3,4,1,8,7,6]=>[4,7,6,5,8,1,2,3]=>[[.,[[[.,.],.],[.,.]]],[.,[.,.]]]
[1,6,4,5,2,8,7,3]=>[1,8,5,4,3,7,6,2]=>[8,1,4,5,6,2,3,7]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[3,7,4,5,1,2,6,8]=>[6,7,5,4,3,1,2,8]=>[3,2,4,5,6,8,7,1]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[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]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,7,4,8,6,3,2,5]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,8,1,5,6,7,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,1,3,5,6,7,2,8]=>[7,2,3,4,5,6,1,8]=>[2,7,6,5,4,3,8,1]=>[[.,[[[[[.,.],.],.],.],[.,.]]],.]
[5,3,8,4,1,7,2,6]=>[7,5,8,4,2,6,1,3]=>[2,4,1,5,7,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[1,5,8,4,6,7,3,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,4,8,3,6,7,5,2]=>[1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[4,3,8,2,1,7,5,6]=>[5,4,8,2,1,7,6,3]=>[4,5,1,7,8,2,3,6]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[3,8,4,2,6,1,5,7]=>[6,8,4,3,7,1,5,2]=>[3,1,5,6,2,8,4,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[1,8,2,5,6,7,4,3]=>[1,8,3,7,6,5,4,2]=>[8,1,6,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[3,8,1,5,6,7,4,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,8,2,5,6,7,1,4]=>[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[8,2,1,5,6,7,4,3]=>[8,3,2,7,6,5,4,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[8,1,3,5,6,7,4,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,1,4,3,6,2,5,8]=>[7,2,6,4,5,3,1,8]=>[2,7,3,5,4,6,8,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[7,8,4,3,6,2,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,3,1,6,8,7,5,2]=>[8,3,2,7,6,5,4,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,5,4,1,6,2,3,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[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]=>[8,2,3,5,1,6,7,4]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,5,3,6,7,4,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,4,1,5,6,7,3,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,2,8,5,6,7,3,4]=>[1,2,8,7,6,5,4,3]=>[8,7,1,2,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,5,3,8,6,7,4,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,4,5,8,6,7,3,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,3,5,8,1,7,2,6]=>[7,5,3,8,2,6,1,4]=>[2,4,6,1,7,3,8,5]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[3,5,4,8,6,1,2,7]=>[7,6,3,8,5,2,1,4]=>[2,3,6,1,4,7,8,5]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[1,4,8,5,6,7,2,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[6,2,8,4,5,3,7,1]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[4,3,7,2,5,6,8,1]=>[8,4,6,2,5,3,7,1]=>[1,5,3,7,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[2,6,3,1,4,5,8,7]=>[4,6,3,1,5,2,8,7]=>[5,3,6,8,4,7,1,2]=>[[[.,.],[[.,[.,.]],[.,.]]],[.,.]]
[3,7,1,4,2,6,8,5]=>[5,8,3,4,1,6,7,2]=>[4,1,6,5,8,3,2,7]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]
[3,7,1,5,6,2,8,4]=>[6,8,3,5,4,1,7,2]=>[3,1,6,4,5,8,2,7]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[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]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[4,7,3,2,5,6,1,8]=>[7,6,4,3,5,2,1,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[5,3,7,4,2,8,1,6]=>[7,5,8,4,2,6,1,3]=>[2,4,1,5,7,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[6,4,7,2,3,8,1,5]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,5,7,2,8,3,1,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,7,3,4,2,1,8,6]=>[6,8,5,4,3,1,7,2]=>[3,1,4,5,6,8,2,7]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[6,7,4,2,3,1,8,5]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,7,5,3,1,2,8,4]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,7,5,4,1,8,2,3]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,10,1,2,3,4,5,6,7,9]=>[9,10,3,4,5,6,7,8,1,2]=>[2,1,8,7,6,5,4,3,10,9]=>[[.,.],[[[[[[.,.],.],.],.],.],[[.,.],.]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,2,7,1,3,4,8,6]=>[6,4,8,2,5,1,7,3]=>[3,5,1,7,4,8,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[2,6,5,7,3,1,4,8]=>[6,7,5,4,3,1,2,8]=>[3,2,4,5,6,8,7,1]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[2,6,5,7,3,1,8,4]=>[6,8,5,4,3,1,7,2]=>[3,1,4,5,6,8,2,7]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[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]=>[2,1,5,6,4,3,8,7]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]
[3,7,1,8,4,5,2,6]=>[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[6,3,2,4,7,5,8,1]=>[8,6,3,4,5,2,7,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[6,3,2,4,7,5,1,8]=>[7,6,3,4,5,2,1,8]=>[2,3,6,5,4,7,8,1]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[4,2,1,6,3,7,5,8]=>[5,3,2,7,1,6,4,8]=>[4,6,7,2,8,3,5,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[4,2,1,6,3,7,8,5]=>[5,3,2,8,1,6,7,4]=>[4,6,7,1,8,3,2,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[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]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,8,1,7,4,3,2,6]=>[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[3,7,8,6,2,1,4,5]=>[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[4,2,1,8,3,5,6,7]=>[5,3,2,8,1,6,7,4]=>[4,6,7,1,8,3,2,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[4,2,1,3,6,7,5,8]=>[4,3,2,1,7,6,5,8]=>[5,6,7,8,2,3,4,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[4,2,1,3,7,5,6,8]=>[4,3,2,1,7,6,5,8]=>[5,6,7,8,2,3,4,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[4,2,1,3,6,8,7,5]=>[4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[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]=>[4,6,7,2,8,3,5,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[3,6,7,5,2,1,4,8]=>[6,7,5,4,3,1,2,8]=>[3,2,4,5,6,8,7,1]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[3,6,7,5,2,1,8,4]=>[6,8,5,4,3,1,7,2]=>[3,1,4,5,6,8,2,7]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[4,8,6,2,7,3,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,6,7,5,2,4,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,6,7,5,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,2,1,7,3,6,5,8]=>[5,3,2,7,1,6,4,8]=>[4,6,7,2,8,3,5,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[4,2,1,7,3,6,8,5]=>[5,3,2,8,1,6,7,4]=>[4,6,7,1,8,3,2,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[5,6,7,8,2,3,4,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[4,2,1,3,5,7,6,8]=>[4,3,2,1,5,7,6,8]=>[5,6,7,8,4,2,3,1]=>[[[[.,[.,[.,[.,.]]]],.],[.,.]],.]
[4,2,1,3,5,8,6,7]=>[4,3,2,1,5,8,7,6]=>[5,6,7,8,4,1,2,3]=>[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]]
[4,8,1,7,3,6,5,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[5,6,7,8,4,3,1,2]=>[[[[.,[.,[.,[.,.]]]],.],.],[.,.]]
[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]=>[6,1,8,4,5,3,2,7]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]
[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]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[2,3,6,8,4,1,5,7]=>[6,2,7,8,5,1,3,4]=>[3,7,2,1,4,8,6,5]=>[[[.,[.,.]],.],[.,[[[.,.],.],.]]]
[2,7,5,1,8,3,4,6]=>[4,8,7,1,6,5,3,2]=>[5,1,2,8,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[4,7,5,2,1,3,6,8]=>[6,7,5,4,3,1,2,8]=>[3,2,4,5,6,8,7,1]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[3,5,6,2,4,1,7,8]=>[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[2,5,6,1,4,8,3,7]=>[4,7,5,1,3,8,2,6]=>[5,2,4,8,6,1,7,3]=>[[[.,.],[.,[[.,.],.]]],[[.,.],.]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,4,6,5,2,8,1,3]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,8,4,6,7,5,3,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,1,8,4,7,5,3,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,6,7,1,4,2,3,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,1,8,4,2,6,3,7]=>[7,2,8,5,4,6,1,3]=>[2,7,1,4,5,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[1,8,4,6,2,5,3,7]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,3,1,4,6,2,5,7]=>[8,6,3,4,7,2,5,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[3,1,8,2,5,6,4,7]=>[4,2,8,1,7,6,5,3]=>[5,7,1,8,2,3,4,6]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[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]=>[5,3,6,8,1,7,2,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[2,3,5,8,6,1,7,4]=>[6,2,8,7,5,1,4,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[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]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[3,6,2,8,5,1,7,4]=>[6,8,3,7,5,1,4,2]=>[3,1,6,2,4,8,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[6,2,1,8,4,7,5,3]=>[8,3,2,7,6,5,4,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[2,8,7,1,4,6,5,3]=>[4,8,7,1,6,5,3,2]=>[5,1,2,8,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[8,2,7,1,5,4,6,3]=>[8,4,7,2,6,5,3,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,2,5,3,6,8,1,4]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,3,1,5,6,2,4,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[3,7,5,1,6,2,4,8]=>[6,7,5,4,3,1,2,8]=>[3,2,4,5,6,8,7,1]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[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]=>[8,1,2,5,4,3,6,7]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[1,7,8,2,6,4,3,5]=>[1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,7,3,8,2,6,4,5]=>[1,8,5,7,3,6,4,2]=>[8,1,4,2,6,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[7,1,5,8,3,2,4,6]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,6,2,8,4,3,7,5]=>[1,8,3,7,6,5,4,2]=>[8,1,6,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,3,8,7,2,4,6,5]=>[1,5,8,7,2,6,4,3]=>[8,4,1,2,7,3,5,6]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[1,8,3,7,2,5,4,6]=>[1,8,5,7,3,6,4,2]=>[8,1,4,2,6,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[8,1,4,7,3,2,5,6]=>[8,2,6,7,5,3,4,1]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[7,1,4,2,3,5,6,8]=>[7,2,5,4,3,6,1,8]=>[2,7,4,5,6,3,8,1]=>[[.,[[[.,.],[.,[.,.]]],[.,.]]],.]
[8,2,1,4,7,3,5,6]=>[8,3,2,6,7,4,5,1]=>[1,6,7,3,2,5,4,8]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]
[2,1,3,8,4,6,7,5]=>[2,1,3,8,5,7,6,4]=>[7,8,6,1,4,2,3,5]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]
[1,2,3,4,8,5,7,6]=>[1,2,3,4,8,6,7,5]=>[8,7,6,5,1,3,2,4]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]
[2,4,7,5,6,8,3,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[4,7,1,2,8,3,5,6]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[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]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[2,7,8,5,3,6,4,1]=>[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,1,8,7,2,6,4,5]=>[5,2,8,7,1,6,4,3]=>[4,7,1,2,8,3,5,6]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[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]=>[3,1,6,2,4,8,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[4,1,7,2,3,6,5,8]=>[5,2,7,4,1,6,3,8]=>[4,7,2,5,8,3,6,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[3,7,1,8,2,6,4,5]=>[5,8,3,7,1,6,4,2]=>[4,1,6,2,8,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[3,1,7,8,2,5,6,4]=>[5,2,8,7,1,6,4,3]=>[4,7,1,2,8,3,5,6]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[3,1,6,5,8,2,7,4]=>[6,2,8,4,7,1,5,3]=>[3,7,1,5,2,8,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,3,6,5,4,7,2,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[7,4,6,1,2,8,3,5]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,4,1,2,8,5,7,3]=>[8,6,3,4,7,2,5,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[5,7,1,2,3,6,4,8]=>[7,6,3,4,5,2,1,8]=>[2,3,6,5,4,7,8,1]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[3,6,8,1,2,7,4,5]=>[5,8,7,4,1,6,3,2]=>[4,1,2,5,8,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[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]=>[4,7,6,5,8,1,2,3]=>[[.,[[[.,.],.],[.,.]]],[.,[.,.]]]
[3,1,4,8,7,5,2,6]=>[7,2,3,8,6,5,1,4]=>[2,7,6,1,3,4,8,5]=>[[.,[[.,.],.]],[.,[.,[[.,.],.]]]]
[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]=>[2,4,6,1,7,3,8,5]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,3,6,5,2,7,4,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[6,7,4,1,2,8,3,5]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[2,4,6,5,7,3,8,1]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[6,7,4,1,2,5,3,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[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]=>[2,5,4,7,6,3,8,1]=>[[.,[[[.,.],[[.,.],.]],[.,.]]],.]
[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]=>[1,3,6,5,4,7,2,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[1,8,3,4,2,7,5,6]=>[1,8,5,4,3,7,6,2]=>[8,1,4,5,6,2,3,7]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[2,8,3,4,1,6,7,5]=>[5,8,3,4,1,7,6,2]=>[4,1,6,5,8,2,3,7]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[8,7,2,3,1,6,5,4]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,8,2,4,6,1,7,5]=>[6,8,3,4,7,1,5,2]=>[3,1,6,5,2,8,4,7]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[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]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[6,1,3,5,7,2,4,8]=>[7,2,6,4,5,3,1,8]=>[2,7,3,5,4,6,8,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[2,1,4,7,5,3,6,8]=>[2,1,6,7,5,3,4,8]=>[7,8,3,2,4,6,5,1]=>[[[[.,[.,.]],.],[.,[[.,.],.]]],.]
[7,1,3,6,2,5,4,8]=>[7,2,5,6,3,4,1,8]=>[2,7,4,3,6,5,8,1]=>[[.,[[[.,.],.],[[.,.],[.,.]]]],.]
[8,1,3,6,2,4,7,5]=>[8,2,5,7,3,6,4,1]=>[1,7,4,2,6,3,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[7,1,8,2,5,6,3,4]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,1,5,8,2,7,3,4]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[4,7,1,2,8,3,5,6]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[8,2,7,1,4,6,5,3]=>[8,4,7,2,6,5,3,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[1,3,8,2,5,7,4,6]=>[1,4,8,2,7,6,5,3]=>[8,5,1,7,2,3,4,6]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[2,8,7,1,6,4,5,3]=>[4,8,7,1,6,5,3,2]=>[5,1,2,8,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[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]=>[8,2,1,3,4,5,7,6]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[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]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[6,2,3,1,5,4,7,8]=>[6,4,3,2,5,1,7,8]=>[3,5,6,7,4,8,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[7,2,3,1,4,6,5,8]=>[7,4,3,2,5,6,1,8]=>[2,5,6,7,4,3,8,1]=>[[.,[[[.,[.,[.,.]]],.],[.,.]]],.]
[8,2,3,1,4,5,7,6]=>[8,4,3,2,5,6,7,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,[.,[.,.]]],.],.],[.,.]]]
[7,5,1,3,2,6,4,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[2,6,1,4,5,3,7,8]=>[3,6,1,5,4,2,7,8]=>[6,3,8,4,5,7,2,1]=>[[[[.,.],[[.,.],[.,[.,.]]]],.],.]
[3,6,4,1,5,2,7,8]=>[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[4,5,6,1,3,2,7,8]=>[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[6,7,1,4,2,5,3,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[1,2,6,7,5,3,8,4]=>[1,2,8,6,5,4,7,3]=>[8,7,1,3,4,5,2,6]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]
[1,7,5,3,2,8,4,6]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,6,7,5,3,8,4,2]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,3,8,2,6,5,7,4]=>[1,4,8,2,7,6,5,3]=>[8,5,1,7,2,3,4,6]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[1,2,5,7,6,3,4,8]=>[1,2,7,6,5,4,3,8]=>[8,7,2,3,4,5,6,1]=>[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]
[1,3,4,8,2,5,7,6]=>[1,5,3,8,2,6,7,4]=>[8,4,6,1,7,3,2,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[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]=>[8,2,4,1,6,3,7,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[1,4,8,3,2,5,7,6]=>[1,5,8,4,2,6,7,3]=>[8,4,1,5,7,3,2,6]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]
[1,4,8,3,5,7,6,2]=>[1,8,7,4,5,6,3,2]=>[8,1,2,5,4,3,6,7]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[1,2,4,8,3,5,7,6]=>[1,2,5,8,3,6,7,4]=>[8,7,4,1,6,3,2,5]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]
[1,3,8,4,2,6,7,5]=>[1,5,8,4,2,7,6,3]=>[8,4,1,5,7,2,3,6]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]
[1,4,8,2,3,5,7,6]=>[1,5,8,4,2,6,7,3]=>[8,4,1,5,7,3,2,6]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,7,5,2,1,8,4,3]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,4,8,7,5,2,1,6]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[1,7,5,2,8,4,6,3]=>[1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[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]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[3,4,7,1,8,6,2,5]=>[7,4,8,2,6,5,1,3]=>[2,5,1,7,3,4,8,6]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[3,4,6,8,2,1,5,7]=>[6,5,7,8,2,1,3,4]=>[3,4,2,1,7,8,6,5]=>[[[.,[.,.]],.],[[[.,[.,.]],.],.]]
[3,8,2,5,6,1,4,7]=>[6,8,3,7,5,1,4,2]=>[3,1,6,2,4,8,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[3,5,2,8,6,4,1,7]=>[7,6,3,8,5,2,1,4]=>[2,3,6,1,4,7,8,5]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,1,2,8,5,6,4,7]=>[3,2,1,8,7,6,5,4]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[5,2,1,6,8,3,4,7]=>[7,3,2,6,8,4,1,5]=>[2,6,7,3,1,5,8,4]=>[[.,[[.,[.,.]],.]],[[.,[.,.]],.]]
[5,2,6,8,4,1,3,7]=>[7,6,5,8,3,2,1,4]=>[2,3,4,1,6,7,8,5]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[4,5,1,6,8,3,2,7]=>[7,6,3,4,8,2,1,5]=>[2,3,6,5,1,7,8,4]=>[[.,[.,[[.,.],.]]],[[.,[.,.]],.]]
[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]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,5,3,1,7,8,2,6]=>[7,4,3,2,8,6,1,5]=>[2,5,6,7,1,3,8,4]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]
[7,1,3,5,4,8,2,6]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[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]=>[8,1,4,2,6,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[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]=>[8,1,2,5,4,3,6,7]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[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]=>[6,1,8,3,4,5,2,7]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[3,2,5,6,7,8,1,4]=>[7,2,8,4,5,6,1,3]=>[2,7,1,5,4,3,8,6]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[5,2,3,6,7,8,4,1]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[6,2,7,1,3,4,8,5]=>[8,4,6,2,5,3,7,1]=>[1,5,3,7,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[6,4,2,7,1,8,3,5]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,2,6,3,7,8,1,5]=>[7,4,8,2,5,6,1,3]=>[2,5,1,7,4,3,8,6]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[4,2,6,3,7,8,5,1]=>[8,4,7,2,5,6,3,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[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]=>[3,1,6,4,5,8,2,7]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[6,7,3,2,1,4,8,5]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,1,8,3,4,2,5,6]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[4,1,2,5,8,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[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]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,6,2,7,1,8,5,3]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[1,7,4,8,5,2,6,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,3,7,8,5,2,6,4]=>[1,6,8,7,5,2,4,3]=>[8,3,1,2,4,7,5,6]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]
[2,5,7,8,1,6,3,4]=>[5,8,7,6,1,4,3,2]=>[4,1,2,3,8,5,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,2,4,6,3,5,7]=>[1,8,3,6,7,4,5,2]=>[8,1,6,3,2,5,4,7]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[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]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,8,5,3,4,7,2,6]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,8,2,4,6,3,7,5]=>[1,8,3,6,7,4,5,2]=>[8,1,6,3,2,5,4,7]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[1,8,2,5,4,6,7,3]=>[1,8,3,7,5,6,4,2]=>[8,1,6,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[3,6,2,7,1,4,5,8]=>[5,7,3,6,1,4,2,8]=>[4,2,6,3,8,5,7,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[1,3,7,4,6,2,8,5]=>[1,6,8,4,5,2,7,3]=>[8,3,1,5,4,7,2,6]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]
[4,5,2,7,1,3,8,6]=>[6,5,3,8,2,1,7,4]=>[3,4,6,1,7,8,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[4,6,5,3,7,1,8,2]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[2,5,4,7,1,6,8,3]=>[5,8,3,6,1,4,7,2]=>[4,1,6,3,8,5,2,7]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]
[4,2,3,8,6,7,1,5]=>[7,3,2,8,6,5,1,4]=>[2,6,7,1,3,4,8,5]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]
[6,2,4,8,5,1,7,3]=>[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[5,2,4,8,1,3,7,6]=>[6,5,3,8,2,1,7,4]=>[3,4,6,1,7,8,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[6,2,5,4,8,3,7,1]=>[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[6,4,3,5,8,2,7,1]=>[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[5,2,3,4,8,1,6,7]=>[6,4,3,2,8,1,7,5]=>[3,5,6,7,1,8,2,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[3,5,2,4,7,1,6,8]=>[6,4,3,2,7,1,5,8]=>[3,5,6,7,2,8,4,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[5,3,4,8,1,6,2,7]=>[7,5,3,8,2,6,1,4]=>[2,4,6,1,7,3,8,5]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[4,5,3,7,1,6,2,8]=>[7,5,3,6,2,4,1,8]=>[2,4,6,3,7,5,8,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[6,2,4,8,5,1,3,7]=>[7,6,5,8,3,2,1,4]=>[2,3,4,1,6,7,8,5]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[7,6,3,8,5,1,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,4,3,7,8,2,5,6]=>[1,6,3,8,7,2,5,4]=>[8,3,6,1,2,7,4,5]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]
[4,2,6,7,3,8,1,5]=>[7,5,8,4,2,6,1,3]=>[2,4,1,5,7,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[1,5,7,4,2,8,6,3]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,3,7,2,8,6,4,5]=>[1,4,8,2,7,6,5,3]=>[8,5,1,7,2,3,4,6]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[1,5,3,6,8,2,7,4]=>[1,8,6,4,7,3,5,2]=>[8,1,3,5,2,6,4,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[4,5,2,7,1,8,6,3]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[3,2,5,6,8,1,7,4]=>[6,2,8,4,7,1,5,3]=>[3,7,1,5,2,8,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[6,4,5,2,3,8,7,1]=>[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[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]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[6,4,2,5,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[6,4,2,5,3,8,7,1]=>[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[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]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[4,6,5,2,3,8,7,1]=>[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[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]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[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]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[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]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,8,6,4,7,5,3]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[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]=>[[.,.],[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]
[4,6,8,10,1,2,3,5,7,9]=>[7,8,9,10,5,6,1,2,3,4]=>[4,3,2,1,6,5,10,9,8,7]=>[[[[.,.],.],.],[[.,.],[[[[.,.],.],.],.]]]
[6,2,5,7,4,8,3,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,7,3,2,5,8,4,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,2,6,4,8,1,5,7]=>[6,2,7,4,8,1,3,5]=>[3,7,2,5,1,8,6,4]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]
[2,3,6,4,7,8,5,1]=>[8,2,7,4,5,6,3,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[7,5,1,8,3,4,6,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[6,3,1,7,8,4,5,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,3,6,7,4,1,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[8,3,4,5,6,7,1,2]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]
[3,4,8,2,7,5,1,6]=>[7,4,8,2,6,5,1,3]=>[2,5,1,7,3,4,8,6]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[6,3,2,8,5,7,4,1]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[5,3,1,8,4,7,2,6]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,1,6,3,4,5,7,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,6,5,4,1,2,8,3]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[6,1,8,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[4,6,8,2,5,3,7,1]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[8,1,2,4,6,7,3,5]=>[8,2,3,7,6,5,4,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[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]=>[2,3,4,1,6,7,8,5]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[7,8,1,5,4,3,6,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[3,1,8,2,4,5,7,6]=>[4,2,8,1,5,6,7,3]=>[5,7,1,8,4,3,2,6]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]
[8,1,3,7,6,2,4,5]=>[8,2,6,7,5,3,4,1]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[2,3,6,8,7,1,4,5]=>[6,2,8,7,5,1,4,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[3,6,4,2,8,5,7,1]=>[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[3,2,4,7,5,8,6,1]=>[8,2,3,7,5,6,4,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[4,2,3,8,6,5,1,7]=>[7,3,2,8,6,5,1,4]=>[2,6,7,1,3,4,8,5]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]
[2,4,3,5,1,8,6,7]=>[5,3,2,4,1,8,7,6]=>[4,6,7,5,8,1,2,3]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]
[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]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[3,1,6,8,4,7,2,5]=>[7,2,8,6,5,4,1,3]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[4,1,6,8,3,2,7,5]=>[6,2,8,7,5,1,4,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[4,6,1,8,3,2,7,5]=>[6,8,3,7,5,1,4,2]=>[3,1,6,2,4,8,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[4,7,8,3,1,2,6,5]=>[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[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]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[4,6,1,8,2,3,7,5]=>[6,8,3,7,5,1,4,2]=>[3,1,6,2,4,8,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[4,1,6,8,2,3,7,5]=>[6,2,8,7,5,1,4,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[4,5,1,2,8,3,7,6]=>[6,4,3,2,8,1,7,5]=>[3,5,6,7,1,8,2,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[4,5,2,1,8,3,7,6]=>[6,4,3,2,8,1,7,5]=>[3,5,6,7,1,8,2,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[4,6,2,8,1,3,7,5]=>[6,8,5,7,3,1,4,2]=>[3,1,4,2,6,8,5,7]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[3,6,2,8,4,7,1,5]=>[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[2,3,6,8,4,7,5,1]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,2,6,8,4,7,1,5]=>[7,2,8,6,5,4,1,3]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[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]=>[3,5,6,7,1,8,2,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[4,1,2,5,8,3,7,6]=>[6,2,3,4,8,1,7,5]=>[3,7,6,5,1,8,2,4]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]
[5,1,2,4,3,8,7,6]=>[5,2,3,4,1,8,7,6]=>[4,7,6,5,8,1,2,3]=>[[.,[[[.,.],.],[.,.]]],[.,[.,.]]]
[5,2,4,1,3,8,7,6]=>[5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[4,2,5,3,8,1,7,6]=>[6,4,3,2,8,1,7,5]=>[3,5,6,7,1,8,2,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[3,5,2,4,8,7,1,6]=>[7,4,3,2,8,6,1,5]=>[2,5,6,7,1,3,8,4]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]
[5,4,2,1,3,8,7,6]=>[5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[5,1,4,2,3,8,7,6]=>[5,2,4,3,1,8,7,6]=>[4,7,5,6,8,1,2,3]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]
[5,4,1,3,2,8,7,6]=>[5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[5,4,3,1,2,8,7,6]=>[5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[4,5,3,1,8,2,7,6]=>[6,4,3,2,8,1,7,5]=>[3,5,6,7,1,8,2,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[4,5,1,3,8,2,7,6]=>[6,4,3,2,8,1,7,5]=>[3,5,6,7,1,8,2,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[3,5,1,4,8,7,2,6]=>[7,4,3,2,8,6,1,5]=>[2,5,6,7,1,3,8,4]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]
[3,5,4,1,8,7,2,6]=>[7,4,3,2,8,6,1,5]=>[2,5,6,7,1,3,8,4]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,4,5,1,8,7,2,6]=>[7,4,3,2,8,6,1,5]=>[2,5,6,7,1,3,8,4]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]
[3,4,1,5,8,7,2,6]=>[7,3,2,4,8,6,1,5]=>[2,6,7,5,1,3,8,4]=>[[.,[[.,[.,.]],.]],[.,[[.,.],.]]]
[4,1,3,5,8,2,7,6]=>[6,2,3,4,8,1,7,5]=>[3,7,6,5,1,8,2,4]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]
[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]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[3,4,5,2,8,7,1,6]=>[7,4,3,2,8,6,1,5]=>[2,5,6,7,1,3,8,4]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]
[5,3,1,4,2,8,7,6]=>[5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[5,1,3,4,2,8,7,6]=>[5,2,4,3,1,8,7,6]=>[4,7,5,6,8,1,2,3]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]
[5,1,3,2,4,8,7,6]=>[5,2,4,3,1,8,7,6]=>[4,7,5,6,8,1,2,3]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]
[5,3,2,1,4,8,7,6]=>[5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[3,4,2,5,8,7,1,6]=>[7,3,2,4,8,6,1,5]=>[2,6,7,5,1,3,8,4]=>[[.,[[.,[.,.]],.]],[.,[[.,.],.]]]
[3,2,4,5,8,7,1,6]=>[7,2,3,4,8,6,1,5]=>[2,7,6,5,1,3,8,4]=>[[.,[[[.,.],.],.]],[.,[[.,.],.]]]
[5,2,3,1,4,8,7,6]=>[5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[5,2,1,3,4,8,7,6]=>[5,3,2,4,1,8,7,6]=>[4,6,7,5,8,1,2,3]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]
[5,1,2,3,4,8,7,6]=>[5,2,3,4,1,8,7,6]=>[4,7,6,5,8,1,2,3]=>[[.,[[[.,.],.],[.,.]]],[.,[.,.]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,7,5,3,8,2,4,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,3,5,6,2,4,1,7]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,1,2,3,4,6,5,7]=>[8,2,3,4,5,7,6,1]=>[1,7,6,5,4,2,3,8]=>[.,[[[[[.,.],.],.],.],[.,[.,.]]]]
[6,2,3,7,8,4,5,1]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,5,8,2,6,3,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,3,1,7,8,6,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[3,6,7,1,4,8,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[3,8,6,5,2,1,7,4]=>[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[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]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[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]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[2,5,7,6,3,1,8,4]=>[6,8,5,4,3,1,7,2]=>[3,1,4,5,6,8,2,7]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[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]=>[2,5,1,7,3,4,8,6]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[4,2,1,8,7,5,6,3]=>[8,3,2,7,6,5,4,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,2,8,5,1,4,6,3]=>[8,5,7,6,2,4,3,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[1,6,5,3,8,4,2,7]=>[1,7,6,4,8,3,2,5]=>[8,2,3,5,1,6,7,4]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]
[5,7,4,8,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,8,3,2,4,7,5,6]=>[1,8,4,3,5,7,6,2]=>[8,1,5,6,4,2,3,7]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]
[3,6,4,8,2,5,7,1]=>[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[4,3,7,2,5,8,1,6]=>[7,4,8,2,5,6,1,3]=>[2,5,1,7,4,3,8,6]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[3,2,4,7,8,5,6,1]=>[8,2,3,7,6,5,4,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[2,6,4,3,8,5,1,7]=>[7,6,4,3,8,2,1,5]=>[2,3,5,6,1,7,8,4]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[8,2,1,3,4,5,7,6]=>[8,3,2,4,5,6,7,1]=>[1,6,7,5,4,3,2,8]=>[.,[[[[[.,[.,.]],.],.],.],[.,.]]]
[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]=>[2,7,3,1,4,6,8,5]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]
[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]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[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]=>[3,1,4,5,6,8,2,7]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[5,4,3,7,1,8,2,6]=>[7,5,3,8,2,6,1,4]=>[2,4,6,1,7,3,8,5]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[8,1,4,2,6,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[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]=>[3,1,6,4,5,8,2,7]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[3,1,2,7,5,6,8,4]=>[3,2,1,8,6,5,7,4]=>[6,7,8,1,3,4,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[3,6,1,2,7,5,8,4]=>[4,8,3,1,6,5,7,2]=>[5,1,6,8,3,4,2,7]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]
[3,7,6,2,5,8,1,4]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[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]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[3,7,2,4,6,1,8,5]=>[6,8,3,4,5,1,7,2]=>[3,1,6,5,4,8,2,7]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]
[6,3,2,8,7,5,1,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[4,1,6,2,8,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[5,2,8,1,7,6,3,4]=>[8,4,7,2,6,5,3,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[3,6,1,8,7,5,2,4]=>[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[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]=>[4,1,2,3,8,5,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[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]=>[1,3,4,5,6,7,8,9,2,10]=>[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]]
[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]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[7,6,4,3,2,8,5,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,3,1,4,8,2,5,6]=>[8,6,3,4,7,2,5,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[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]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,7,2,4,6,8,1,3]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,7,5,1,6,2,8,3]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,7,4,6,3,1,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,4,2,7,3,1,6,8]=>[6,5,3,7,2,1,4,8]=>[3,4,6,2,7,8,5,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[4,5,1,2,7,6,8,3]=>[8,4,3,2,6,5,7,1]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[5,4,6,8,3,1,2,7]=>[7,6,5,8,3,2,1,4]=>[2,3,4,1,6,7,8,5]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[6,4,8,1,3,7,2,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,6,1,3,8,5,2,7]=>[7,6,3,4,8,2,1,5]=>[2,3,6,5,1,7,8,4]=>[[.,[.,[[.,.],.]]],[[.,[.,.]],.]]
[1,3,8,4,5,7,2,6]=>[1,7,8,4,5,6,2,3]=>[8,2,1,5,4,3,7,6]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]
[2,6,7,4,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[2,6,8,4,3,5,1,7]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[1,3,7,4,2,8,5,6]=>[1,5,8,4,2,7,6,3]=>[8,4,1,5,7,2,3,6]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]
[4,6,1,3,7,2,5,8]=>[6,7,3,4,5,1,2,8]=>[3,2,6,5,4,8,7,1]=>[[[.,.],[[[.,.],.],[[.,.],.]]],.]
[7,5,8,6,2,1,3,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,8,1,3,6,5,4,7]=>[3,8,1,4,7,6,5,2]=>[6,1,8,5,2,3,4,7]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[3,4,2,6,8,7,1,5]=>[7,3,2,8,6,5,1,4]=>[2,6,7,1,3,4,8,5]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]
[7,4,2,3,6,1,8,5]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[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]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,7,1,2,4,6,5,8]=>[4,7,3,1,5,6,2,8]=>[5,2,6,8,4,3,7,1]=>[[[.,.],[[[.,[.,.]],.],[.,.]]],.]
[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]=>[4,7,2,5,8,3,6,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[2,8,6,5,3,4,1,7]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[3,4,6,2,8,5,7,1]=>[8,4,6,2,7,3,5,1]=>[1,5,3,7,2,6,4,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[4,7,2,6,5,1,3,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,7,3,6,5,1,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,3,7,1,6,8,5,2]=>[8,4,7,2,5,6,3,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[3,2,4,8,6,7,1,5]=>[7,2,3,8,6,5,1,4]=>[2,7,6,1,3,4,8,5]=>[[.,[[.,.],.]],[.,[.,[[.,.],.]]]]
[4,2,6,8,7,3,1,5]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[3,4,6,1,8,5,2,7]=>[7,4,6,2,8,3,1,5]=>[2,5,3,7,1,6,8,4]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]
[4,1,6,7,5,8,2,3]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[4,3,6,7,5,1,2,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,3,7,1,6,8,2,5]=>[7,4,8,2,5,6,1,3]=>[2,5,1,7,4,3,8,6]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[4,3,7,5,6,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,1,7,3,6,5,2,8]=>[7,2,6,4,5,3,1,8]=>[2,7,3,5,4,6,8,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[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]=>[4,1,6,5,8,2,3,7]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[4,1,7,3,6,2,5,8]=>[6,2,7,4,5,1,3,8]=>[3,7,2,5,4,8,6,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[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]=>[1,7,2,5,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[4,2,7,3,6,1,8,5]=>[6,4,8,2,5,1,7,3]=>[3,5,1,7,4,8,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[4,2,7,3,6,5,8,1]=>[8,4,6,2,5,3,7,1]=>[1,5,3,7,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[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]=>[4,1,6,5,8,2,3,7]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,2,7,5,6,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,2,7,5,6,1,8,3]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,2,6,7,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[3,2,6,1,4,5,8,7]=>[4,2,6,1,5,3,8,7]=>[5,7,3,8,4,6,1,2]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]
[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]=>[4,1,6,2,8,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[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]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[7,4,3,5,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[5,4,1,7,3,6,8,2]=>[8,5,3,6,2,4,7,1]=>[1,4,6,3,7,5,2,8]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[3,6,4,7,5,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,4,7,6,2,5,8,1]=>[8,5,6,4,2,3,7,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[4,7,5,6,1,3,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,7,6,4,3,1,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,7,6,3,1,4,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,5,2,3,4,8,1,6]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,6,5,2,7,8,1,4]=>[7,8,4,3,5,6,1,2]=>[2,1,5,6,4,3,8,7]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]
[3,2,8,6,7,1,4,5]=>[6,2,8,7,5,1,4,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,7,2,3,5,4,6]=>[1,8,7,4,5,6,3,2]=>[8,1,2,5,4,3,6,7]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[1,8,7,2,5,3,4,6]=>[1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[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]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[6,1,7,8,2,5,3,4]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,7,6,4,2,8,1,3]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,5,6,1,2,8,4,3]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,1,3,7,8,6,2,5]=>[7,2,3,8,6,5,1,4]=>[2,7,6,1,3,4,8,5]=>[[.,[[.,.],.]],[.,[.,[[.,.],.]]]]
[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]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[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]=>[2,3,4,1,6,7,8,5]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[3,7,4,8,1,2,5,6]=>[6,8,5,7,3,1,4,2]=>[3,1,4,2,6,8,5,7]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,1,8,3,4,2,6,5]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[3,1,4,5,6,8,2,7]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[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]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,1,3,6,2,5,4,7]=>[8,2,5,7,3,6,4,1]=>[1,7,4,2,6,3,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[2,6,3,1,5,4,7,8]=>[4,6,3,1,5,2,7,8]=>[5,3,6,8,4,7,2,1]=>[[[[.,.],[[.,[.,.]],[.,.]]],.],.]
[6,3,2,1,5,4,7,8]=>[6,4,3,2,5,1,7,8]=>[3,5,6,7,4,8,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[7,3,1,4,5,2,6,8]=>[7,6,3,4,5,2,1,8]=>[2,3,6,5,4,7,8,1]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[7,3,1,5,4,2,6,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[7,3,1,6,2,5,4,8]=>[7,5,3,6,2,4,1,8]=>[2,4,6,3,7,5,8,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[3,7,1,6,2,5,4,8]=>[5,7,3,6,1,4,2,8]=>[4,2,6,3,8,5,7,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[3,7,1,4,5,2,6,8]=>[6,7,3,4,5,1,2,8]=>[3,2,6,5,4,8,7,1]=>[[[.,.],[[[.,.],.],[[.,.],.]]],.]
[3,6,2,1,5,4,7,8]=>[4,6,3,1,5,2,7,8]=>[5,3,6,8,4,7,2,1]=>[[[[.,.],[[.,[.,.]],[.,.]]],.],.]
[2,3,6,1,5,4,7,8]=>[4,2,6,1,5,3,7,8]=>[5,7,3,8,4,6,2,1]=>[[[[.,[.,.]],[[.,.],[.,.]]],.],.]
[3,5,2,4,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[4,5,6,7,8,3,2,1]=>[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]
[6,3,4,1,5,2,7,8]=>[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[6,2,4,1,5,3,7,8]=>[6,4,5,2,3,1,7,8]=>[3,5,4,7,6,8,2,1]=>[[[.,[[.,.],[[.,.],[.,.]]]],.],.]
[6,2,5,1,3,7,4,8]=>[7,4,5,2,3,6,1,8]=>[2,5,4,7,6,3,8,1]=>[[.,[[[.,.],[[.,.],.]],[.,.]]],.]
[6,5,2,1,3,7,4,8]=>[7,5,4,3,2,6,1,8]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[7,6,1,2,4,5,3,8]=>[7,6,3,4,5,2,1,8]=>[2,3,6,5,4,7,8,1]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[6,7,1,2,5,4,3,8]=>[7,6,3,4,5,2,1,8]=>[2,3,6,5,4,7,8,1]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[5,6,2,1,3,7,4,8]=>[7,5,4,3,2,6,1,8]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[5,2,6,1,3,7,4,8]=>[7,4,5,2,3,6,1,8]=>[2,5,4,7,6,3,8,1]=>[[.,[[[.,.],[[.,.],.]],[.,.]]],.]
[4,7,1,3,5,2,6,8]=>[6,7,3,4,5,1,2,8]=>[3,2,6,5,4,8,7,1]=>[[[.,.],[[[.,.],.],[[.,.],.]]],.]
[5,7,1,4,2,6,3,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[5,6,3,1,2,7,4,8]=>[7,5,4,3,2,6,1,8]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[4,2,5,3,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[4,5,6,7,8,3,2,1]=>[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]
[5,3,6,1,2,7,4,8]=>[7,5,4,3,2,6,1,8]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[3,4,6,1,5,2,7,8]=>[6,4,5,2,3,1,7,8]=>[3,5,4,7,6,8,2,1]=>[[[.,[[.,.],[[.,.],[.,.]]]],.],.]
[6,5,1,8,7,3,4,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[4,1,2,3,8,5,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,7,6,4,1,3,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,6,2,4,5,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,1,7,5,3,8,4,2]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[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]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[3,4,6,1,7,8,5,2]=>[8,4,7,2,5,6,3,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,1,5,7,2,6,4,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,7,2,5,6,3,4]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[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]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,5,6,2,1,8,4,3]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,5,3,6,8,2,7,1]=>[8,6,3,4,7,2,5,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[5,6,3,4,8,1,7,2]=>[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[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]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[8,5,1,6,3,4,7,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,1,8,6,3,4,7,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,7,1,3,5,6,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[4,5,1,7,8,2,3,6]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[5,8,2,4,3,6,7,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,8,2,3,1,6,7,4]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[4,3,1,2,8,7,5,6]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]
[6,7,1,8,4,3,5,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,7,8,6,1,4,3,5]=>[5,8,7,6,1,4,3,2]=>[4,1,2,3,8,5,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[2,7,3,8,1,6,4,5]=>[5,8,3,7,1,6,4,2]=>[4,1,6,2,8,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[7,5,1,8,2,4,6,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,7,8,4,1,6,3,5]=>[5,8,7,6,1,4,3,2]=>[4,1,2,3,8,5,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[2,6,5,4,1,3,8,7]=>[5,6,4,3,1,2,8,7]=>[4,3,5,6,8,7,1,2]=>[[[.,.],[.,[.,[[.,.],.]]]],[.,.]]
[4,1,7,6,3,8,2,5]=>[7,2,8,5,4,6,1,3]=>[2,7,1,4,5,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[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]=>[2,4,5,6,7,1,8,3]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[2,6,5,3,4,1,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[2,6,7,5,1,8,4,3]=>[5,8,7,4,1,6,3,2]=>[4,1,2,5,8,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[6,2,5,1,8,3,4,7]=>[7,4,6,2,8,3,1,5]=>[2,5,3,7,1,6,8,4]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]
[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]=>[4,1,6,5,8,2,3,7]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[2,4,7,6,5,8,1,3]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[2,1,4,8,7,6,3,5]=>[2,1,7,8,6,5,3,4]=>[7,8,2,1,3,4,6,5]=>[[[.,[.,.]],.],[.,[.,[[.,.],.]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,2,8,7,5,1,6,4]=>[6,2,8,7,5,1,4,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[4,8,5,1,6,7,2,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[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]=>[6,1,8,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[3,5,1,8,6,7,4,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,2,3,8,6,7,4,1]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,2,5,8,6,7,4,1]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[2,3,5,6,1,7,8,4]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[8,1,6,3,5,2,7,4]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[4,1,2,3,8,5,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[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]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[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]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[7,1,5,8,2,6,4,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[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]=>[2,5,1,7,3,4,8,6]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[2,4,8,1,6,7,3,5]=>[4,7,8,1,6,5,2,3]=>[5,2,1,8,3,4,7,6]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]
[5,1,8,2,6,7,3,4]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[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]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[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]=>[2,1,6,5,3,4,8,7]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]
[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]=>[2,4,6,1,7,3,8,5]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[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]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[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]=>[2,4,1,5,7,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[3,5,8,2,4,6,1,7]=>[7,5,8,4,2,6,1,3]=>[2,4,1,5,7,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[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]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[1,6,4,3,2,8,7,5]=>[1,8,5,4,3,7,6,2]=>[8,1,4,5,6,2,3,7]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[1,5,3,2,8,4,7,6]=>[1,6,4,3,8,2,7,5]=>[8,3,5,6,1,7,2,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[5,7,4,3,1,2,6,8]=>[6,7,5,4,3,1,2,8]=>[3,2,4,5,6,8,7,1]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[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]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[2,1,7,4,3,8,6,5]=>[2,1,8,5,4,7,6,3]=>[7,8,1,4,5,2,3,6]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[6,1,4,3,8,2,7,5]=>[8,2,6,4,7,3,5,1]=>[1,7,3,5,2,6,4,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[1,8,4,2,7,6,5,3]=>[1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,8,3,7,2,6,5,4]=>[1,8,5,7,3,6,4,2]=>[8,1,4,2,6,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[5,1,4,8,3,7,2,6]=>[7,2,5,8,3,6,1,4]=>[2,7,4,1,6,3,8,5]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[2,1,6,8,5,4,7,3]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[6,1,5,7,8,2,4,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[3,7,6,1,5,2,4,8]=>[6,7,5,4,3,1,2,8]=>[3,2,4,5,6,8,7,1]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[1,5,4,8,3,2,7,6]=>[1,6,5,8,3,2,7,4]=>[8,3,4,1,6,7,2,5]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[5,4,7,1,3,2,6,8]=>[6,5,7,4,2,1,3,8]=>[3,4,2,5,7,8,6,1]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[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]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[7,4,6,2,1,5,3,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,2,6,3,8,5,7,4]=>[1,2,8,4,7,6,5,3]=>[8,7,1,5,2,3,4,6]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[1,5,2,6,8,4,7,3]=>[1,8,3,6,7,4,5,2]=>[8,1,6,3,2,5,4,7]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,4,1,8,5,2,3]=>[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,3,1,2,8,4,7,5]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[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]=>[4,1,6,2,8,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,3,8,7,6,2,5,4]=>[1,6,8,7,5,2,4,3]=>[8,3,1,2,4,7,5,6]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]
[5,4,1,8,7,3,2,6]=>[7,6,3,8,5,2,1,4]=>[2,3,6,1,4,7,8,5]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[3,5,1,8,7,2,4,6]=>[6,7,3,8,5,1,2,4]=>[3,2,6,1,4,8,7,5]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]
[4,6,1,8,3,7,2,5]=>[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[4,7,1,2,8,6,3,5]=>[7,8,3,4,6,5,1,2]=>[2,1,6,5,3,4,8,7]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,1,5,8,6,4,3,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,1,8,7,3,6,4,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,1,8,7,6,2,5,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,1,8,7,6,5,2,4]=>[7,2,8,6,5,4,1,3]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[1,6,4,5,2,3,7,8]=>[1,6,5,4,3,2,7,8]=>[8,3,4,5,6,7,2,1]=>[[[[.,.],[.,[.,[.,[.,.]]]]],.],.]
[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]=>[8,3,4,5,6,7,2,1]=>[[[[.,.],[.,[.,[.,[.,.]]]]],.],.]
[1,6,3,4,2,5,7,8]=>[1,6,5,4,3,2,7,8]=>[8,3,4,5,6,7,2,1]=>[[[[.,.],[.,[.,[.,[.,.]]]]],.],.]
[1,8,6,7,3,4,2,5]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,5,7,3,4,2,6]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,5,2,8,4,7,3,6]=>[1,7,3,8,5,6,2,4]=>[8,2,6,1,4,3,7,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[1,4,2,8,5,7,3,6]=>[1,7,3,8,5,6,2,4]=>[8,2,6,1,4,3,7,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,5,6,2,4,3,7]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,3,2,8,5,6,4,7]=>[1,3,2,8,7,6,5,4]=>[8,6,7,1,2,3,4,5]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]
[1,4,2,8,5,6,3,7]=>[1,7,3,8,5,6,2,4]=>[8,2,6,1,4,3,7,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[1,5,2,8,4,6,3,7]=>[1,7,3,8,5,6,2,4]=>[8,2,6,1,4,3,7,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[8,1,2,4,5,3,6,7]=>[8,2,3,6,5,4,7,1]=>[1,7,6,3,4,5,2,8]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[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]=>[[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[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]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,4,7,3,5,8,2,6]=>[1,7,8,4,5,6,2,3]=>[8,2,1,5,4,3,7,6]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]
[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]=>[2,4,1,5,7,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[7,4,8,5,2,3,1,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[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]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,7,6,4,8,2,3,5]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,1,3,7,4,8,2,5]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[4,1,7,3,5,8,2,6]=>[7,2,8,4,5,6,1,3]=>[2,7,1,5,4,3,8,6]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[7,1,6,4,8,2,3,5]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,8,5,7,2,3,4,6]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,1,5,8,2,3,4,7]=>[7,2,6,8,5,3,1,4]=>[2,7,3,1,4,6,8,5]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]
[5,1,7,3,8,2,4,6]=>[7,2,8,6,5,4,1,3]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[6,1,5,7,8,2,3,4]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[4,7,6,1,2,3,5,8]=>[6,7,5,4,3,1,2,8]=>[3,2,4,5,6,8,7,1]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[6,5,8,4,1,2,3,7]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[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]=>[8,2,1,3,4,5,7,6]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[8,1,6,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[7,6,1,3,8,2,4,5]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[3,4,6,1,7,8,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[1,4,8,7,2,3,5,6]=>[1,6,8,7,5,2,4,3]=>[8,3,1,2,4,7,5,6]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]
[1,5,8,7,2,3,4,6]=>[1,7,8,6,5,4,2,3]=>[8,2,1,3,4,5,7,6]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[6,5,1,8,2,3,4,7]=>[7,6,3,8,5,2,1,4]=>[2,3,6,1,4,7,8,5]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[5,7,1,3,8,2,4,6]=>[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,1,8,2,7,3,4,5]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[4,1,8,7,2,3,5,6]=>[6,2,8,7,5,1,4,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[5,1,8,7,2,3,4,6]=>[7,2,8,6,5,4,1,3]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[1,8,7,6,4,5,3,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[9,8,7,6,4,5,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[8,7,6,4,3,5,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[2,3,4,5,6,7,8,9,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[8,7,6,3,5,4,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[2,3,4,5,6,7,8,9,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[1,9,8,7,5,4,6,3,2]=>[1,9,8,7,6,5,4,3,2]=>[9,1,2,3,4,5,6,7,8]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,8,7,3,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,9,8,7,4,6,5,3,2]=>[1,9,8,7,6,5,4,3,2]=>[9,1,2,3,4,5,6,7,8]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,10,9,8,7,5,6,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[10,1,2,3,4,5,6,7,8,9]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[7,1,5,8,3,4,2,6]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,1,4,3,2,5,6,8]=>[7,2,5,4,3,6,1,8]=>[2,7,4,5,6,3,8,1]=>[[.,[[[.,.],[.,[.,.]]],[.,.]]],.]
[6,4,2,3,8,5,7,1]=>[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[6,4,2,7,5,8,3,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,4,1,7,5,8,3,6]=>[3,7,1,8,5,6,2,4]=>[6,2,8,1,4,3,7,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[7,1,4,6,5,8,2,3]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[7,1,4,6,3,8,2,5]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,4,7,2,6,8,5,1]=>[8,4,7,2,5,6,3,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[3,4,7,1,6,8,2,5]=>[7,4,8,2,5,6,1,3]=>[2,5,1,7,4,3,8,6]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[3,4,7,1,6,8,5,2]=>[8,4,7,2,5,6,3,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[3,4,1,7,8,6,2,5]=>[7,3,2,8,6,5,1,4]=>[2,6,7,1,3,4,8,5]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]
[6,4,2,3,8,5,1,7]=>[7,6,4,3,8,2,1,5]=>[2,3,5,6,1,7,8,4]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[6,4,2,7,5,8,1,3]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,4,2,7,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[3,4,7,2,6,8,1,5]=>[7,4,8,2,5,6,1,3]=>[2,5,1,7,4,3,8,6]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[5,4,7,3,6,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,8,3,2,5,6,1,7]=>[7,8,4,3,5,6,1,2]=>[2,1,5,6,4,3,8,7]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]
[4,8,7,3,5,1,2,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[4,8,3,1,2,6,5,7]=>[5,8,4,3,1,7,6,2]=>[4,1,5,6,8,2,3,7]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[3,4,7,1,6,2,5,8]=>[6,4,7,2,5,1,3,8]=>[3,5,2,7,4,8,6,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[3,4,7,1,6,2,8,5]=>[6,4,8,2,5,1,7,3]=>[3,5,1,7,4,8,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[3,4,7,2,6,5,8,1]=>[8,4,6,2,5,3,7,1]=>[1,5,3,7,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[4,8,3,1,2,6,7,5]=>[5,8,4,3,1,7,6,2]=>[4,1,5,6,8,2,3,7]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[5,8,1,6,3,4,2,7]=>[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,4,7,3,6,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,4,7,2,6,1,8,3]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,4,3,7,5,1,2,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,4,3,7,5,1,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,2,4,3,1,5,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[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]=>[3,5,2,7,4,8,6,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[5,8,3,2,1,6,4,7]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[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]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[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]=>[2,3,4,1,6,7,8,5]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[4,3,2,8,6,5,1,7]=>[7,3,2,8,6,5,1,4]=>[2,6,7,1,3,4,8,5]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]
[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]=>[3,7,2,1,4,8,6,5]=>[[[.,[.,.]],.],[.,[[[.,.],.],.]]]
[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]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[5,3,7,8,4,1,2,6]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[6,2,5,8,3,1,4,7]=>[7,6,5,8,3,2,1,4]=>[2,3,4,1,6,7,8,5]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[6,2,4,8,3,1,5,7]=>[7,6,5,8,3,2,1,4]=>[2,3,4,1,6,7,8,5]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[5,2,3,8,4,1,6,7]=>[6,5,3,8,2,1,7,4]=>[3,4,6,1,7,8,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[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]=>[2,3,6,1,4,7,8,5]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[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]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[5,3,6,1,4,8,7,2]=>[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[5,3,7,2,4,6,8,1]=>[8,5,6,4,2,3,7,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[4,2,1,5,8,6,3,7]=>[7,3,2,4,8,6,1,5]=>[2,6,7,5,1,3,8,4]=>[[.,[[.,[.,.]],.]],[.,[[.,.],.]]]
[6,7,3,1,4,8,2,5]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,3,7,1,4,8,2,6]=>[7,5,8,4,2,6,1,3]=>[2,4,1,5,7,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[4,3,1,5,7,8,2,6]=>[7,3,2,4,8,6,1,5]=>[2,6,7,5,1,3,8,4]=>[[.,[[.,[.,.]],.]],[.,[[.,.],.]]]
[3,2,1,8,5,4,6,7]=>[3,2,1,8,6,5,7,4]=>[6,7,8,1,3,4,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[3,2,1,8,5,7,4,6]=>[3,2,1,8,7,6,5,4]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[3,2,1,8,7,5,4,6]=>[3,2,1,8,7,6,5,4]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[5,2,7,1,8,4,3,6]=>[7,4,8,2,6,5,1,3]=>[2,5,1,7,3,4,8,6]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[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]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[3,2,1,8,6,5,4,7]=>[3,2,1,8,7,6,5,4]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[4,2,1,6,8,7,5,3]=>[8,3,2,7,6,5,4,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[4,2,1,6,8,5,7,3]=>[8,3,2,6,7,4,5,1]=>[1,6,7,3,2,5,4,8]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]
[4,2,1,6,8,5,3,7]=>[7,3,2,6,8,4,1,5]=>[2,6,7,3,1,5,8,4]=>[[.,[[.,[.,.]],.]],[[.,[.,.]],.]]
[5,2,6,1,8,4,3,7]=>[7,4,6,2,8,3,1,5]=>[2,5,3,7,1,6,8,4]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]
[5,2,6,1,8,7,4,3]=>[8,4,7,2,6,5,3,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[5,2,6,1,8,7,3,4]=>[8,4,7,2,6,5,3,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[5,2,6,1,8,3,4,7]=>[7,4,6,2,8,3,1,5]=>[2,5,3,7,1,6,8,4]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]
[4,2,1,6,8,3,7,5]=>[6,3,2,8,7,1,5,4]=>[3,6,7,1,2,8,4,5]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]
[6,7,3,1,5,8,2,4]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,2,1,7,8,6,3,5]=>[7,3,2,8,6,5,1,4]=>[2,6,7,1,3,4,8,5]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]
[3,2,1,8,7,6,4,5]=>[3,2,1,8,7,6,5,4]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[3,2,1,8,6,4,7,5]=>[3,2,1,8,7,6,5,4]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[3,2,1,8,6,4,5,7]=>[3,2,1,8,7,6,5,4]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[3,2,1,8,4,6,5,7]=>[3,2,1,8,5,7,6,4]=>[6,7,8,1,4,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[3,2,1,8,4,6,7,5]=>[3,2,1,8,5,7,6,4]=>[6,7,8,1,4,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[3,2,1,8,4,7,6,5]=>[3,2,1,8,5,7,6,4]=>[6,7,8,1,4,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[3,2,1,8,7,4,6,5]=>[3,2,1,8,7,6,5,4]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[4,2,1,7,8,3,6,5]=>[6,3,2,8,7,1,5,4]=>[3,6,7,1,2,8,4,5]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]
[5,2,7,1,8,3,6,4]=>[8,4,7,2,6,5,3,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[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]=>[2,5,1,7,3,4,8,6]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[4,2,1,7,8,3,5,6]=>[6,3,2,8,7,1,5,4]=>[3,6,7,1,2,8,4,5]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]
[3,2,1,8,4,5,7,6]=>[3,2,1,8,5,6,7,4]=>[6,7,8,1,4,3,2,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[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]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[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]=>[2,3,4,1,6,7,8,5]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[5,7,4,2,6,1,3,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,6,4,2,3,8,1,7]=>[7,5,4,3,2,8,1,6]=>[2,4,5,6,7,1,8,3]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[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]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[6,3,7,2,4,5,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,3,7,2,5,8,4,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,3,6,8,2,4,7,1]=>[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[5,4,6,2,3,8,1,7]=>[7,5,4,3,2,8,1,6]=>[2,4,5,6,7,1,8,3]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[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]=>[4,3,5,6,8,7,1,2]=>[[[.,.],[.,[.,[[.,.],.]]]],[.,.]]
[3,5,8,6,4,2,1,7]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[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]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[6,3,4,2,1,5,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[5,6,4,2,1,3,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[2,7,8,5,4,1,6,3]=>[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[2,8,5,4,1,6,3,7]=>[5,8,7,4,1,6,3,2]=>[4,1,2,5,8,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[2,6,3,8,5,4,1,7]=>[7,6,3,8,5,2,1,4]=>[2,3,6,1,4,7,8,5]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[5,8,6,4,2,1,3,7]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[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]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,5,6,3,8,4,1,7]=>[7,6,4,3,8,2,1,5]=>[2,3,5,6,1,7,8,4]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[6,3,4,2,1,8,5,7]=>[7,5,4,3,2,8,1,6]=>[2,4,5,6,7,1,8,3]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[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]=>[4,2,5,6,8,1,7,3]=>[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]
[3,8,6,4,2,1,5,7]=>[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,6,4,3,7,8,5]=>[2,1,8,5,4,6,7,3]=>[7,8,1,4,5,3,2,6]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,6,1,8,4,3,7,5]=>[3,8,1,7,6,5,4,2]=>[6,1,8,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[2,6,1,7,5,8,4,3]=>[3,8,1,7,5,6,4,2]=>[6,1,8,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[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]=>[3,1,4,5,6,8,2,7]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[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]=>[3,1,5,6,2,8,4,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[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]=>[2,3,4,5,6,7,8,9,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[7,6,5,4,9,3,2,1,8]=>[8,7,6,4,9,3,2,1,5]=>[2,3,4,6,1,7,8,9,5]=>[[.,[.,[.,[.,.]]]],[[.,[.,[.,.]]],.]]
[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]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[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]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[6,4,3,7,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[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]=>[2,3,4,5,1,7,8,9,10,6]=>[[.,[.,[.,[.,.]]]],[[.,[.,[.,[.,.]]]],.]]
[6,5,3,2,8,4,1,7]=>[7,6,4,3,8,2,1,5]=>[2,3,5,6,1,7,8,4]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[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]=>[2,3,4,5,6,7,8,9,10,11,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],.]
[6,5,8,7,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[2,3,4,5,6,7,8,9,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[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]=>[2,3,4,5,6,7,8,9,10,11,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],.]
[7,5,4,8,6,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[2,3,4,5,6,7,8,9,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[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]=>[2,4,5,6,7,1,8,3]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[7,6,4,3,9,5,2,1,8]=>[8,7,6,4,9,3,2,1,5]=>[2,3,4,6,1,7,8,9,5]=>[[.,[.,[.,[.,.]]]],[[.,[.,[.,.]]],.]]
[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]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[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]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[9,8,7,6,5,4,3,2,1,10,11]=>[9,8,7,6,5,4,3,2,1,10,11]=>[3,4,5,6,7,8,9,10,11,2,1]=>[[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.],.]
[8,4,2,6,3,1,7,5]=>[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[1,5,3,7,4,2,8,6]=>[1,6,5,8,3,2,7,4]=>[8,3,4,1,6,7,2,5]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[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]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[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]=>[3,1,4,2,6,8,5,7]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[3,2,8,6,4,1,7,5]=>[6,2,8,7,5,1,4,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[3,2,1,7,5,4,8,6]=>[3,2,1,8,6,5,7,4]=>[6,7,8,1,3,4,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[4,1,3,7,5,2,8,6]=>[6,2,3,8,5,1,7,4]=>[3,7,6,1,4,8,2,5]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]
[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]=>[8,7,1,4,5,3,2,6]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]
[6,1,8,2,4,5,7,3]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[5,1,8,3,2,6,7,4]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[3,2,8,7,1,5,6,4]=>[5,2,8,7,1,6,4,3]=>[4,7,1,2,8,3,5,6]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[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]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[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]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,5,3,8,2,6,7,4]=>[1,8,5,7,3,6,4,2]=>[8,1,4,2,6,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[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]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[5,4,2,3,8,1,7,6]=>[6,4,3,2,8,1,7,5]=>[3,5,6,7,1,8,2,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[4,5,2,3,1,6,8,7]=>[5,4,3,2,1,6,8,7]=>[4,5,6,7,8,3,1,2]=>[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]]
[8,4,2,1,3,6,7,5]=>[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[1,5,3,2,4,7,8,6]=>[1,5,4,3,2,8,7,6]=>[8,4,5,6,7,1,2,3]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]
[4,6,2,1,5,3,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[6,7,1,2,4,5,8,3]=>[8,6,3,4,5,2,7,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[1,8,2,3,5,6,7,4]=>[1,8,3,4,7,6,5,2]=>[8,1,6,5,2,3,4,7]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[4,8,2,1,3,6,7,5]=>[5,8,4,3,1,7,6,2]=>[4,1,5,6,8,2,3,7]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[4,1,3,2,5,7,8,6]=>[4,2,3,1,5,8,7,6]=>[5,7,6,8,4,1,2,3]=>[[[.,[[.,.],[.,.]]],.],[.,[.,.]]]
[5,1,2,4,3,7,8,6]=>[5,2,3,4,1,8,7,6]=>[4,7,6,5,8,1,2,3]=>[[.,[[[.,.],.],[.,.]]],[.,[.,.]]]
[5,4,8,1,2,3,7,6]=>[6,5,8,4,2,1,7,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[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]=>[3,7,1,5,2,8,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[4,1,8,7,3,2,5,6]=>[6,2,8,7,5,1,4,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[3,4,7,6,2,1,8,5]=>[6,5,8,4,2,1,7,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[3,4,2,7,1,6,8,5]=>[5,3,2,8,1,6,7,4]=>[4,6,7,1,8,3,2,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[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]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[4,1,3,2,8,7,5,6]=>[4,2,3,1,8,7,6,5]=>[5,7,6,8,1,2,3,4]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]
[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]=>[4,6,7,1,8,3,2,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[3,2,7,8,4,1,6,5]=>[6,2,8,7,5,1,4,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[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]=>[2,1,6,5,3,4,8,7]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]
[3,2,7,4,8,1,6,5]=>[6,2,8,4,7,1,5,3]=>[3,7,1,5,2,8,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[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]=>[4,7,6,1,8,2,3,5]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]
[3,7,4,2,6,8,1,5]=>[7,8,4,3,5,6,1,2]=>[2,1,5,6,4,3,8,7]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]
[3,7,4,6,2,8,1,5]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[4,7,1,5,8,2,3,6]=>[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[3,1,7,4,8,2,5,6]=>[6,2,8,4,7,1,5,3]=>[3,7,1,5,2,8,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[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]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,2,6,4,7,5,8,3]=>[1,2,8,6,5,4,7,3]=>[8,7,1,3,4,5,2,6]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]
[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]=>[8,1,6,4,5,3,2,7]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]
[1,8,2,5,6,3,7,4]=>[1,8,3,7,6,5,4,2]=>[8,1,6,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,2,6,4,8,5,7,3]=>[1,2,8,6,7,4,5,3]=>[8,7,1,3,2,5,4,6]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[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]=>[3,1,6,4,5,8,2,7]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[7,4,1,5,2,3,6,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[5,6,1,8,4,3,2,7]=>[7,6,3,8,5,2,1,4]=>[2,3,6,1,4,7,8,5]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[5,1,8,6,4,3,2,7]=>[7,2,8,6,5,4,1,3]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[5,1,6,3,8,7,2,4]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,1,2,5,8,3,7,4]=>[8,2,3,6,7,4,5,1]=>[1,7,6,3,2,5,4,8]=>[.,[[[[.,.],.],.],[[.,.],[.,.]]]]
[6,1,8,7,4,3,2,5]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,1,2,5,4,8,6,3]=>[8,2,3,7,5,6,4,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[1,2,7,5,8,3,6,4]=>[1,2,8,7,6,5,4,3]=>[8,7,1,2,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[4,1,6,3,7,5,2,8]=>[7,2,6,4,5,3,1,8]=>[2,7,3,5,4,6,8,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[1,3,6,7,8,5,2,4]=>[1,7,8,6,5,4,2,3]=>[8,2,1,3,4,5,7,6]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[1,2,6,4,7,8,5,3]=>[1,2,8,7,5,6,4,3]=>[8,7,1,2,4,3,5,6]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[4,1,6,3,7,8,2,5]=>[7,2,8,4,5,6,1,3]=>[2,7,1,5,4,3,8,6]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[3,1,6,4,8,2,7,5]=>[6,2,8,4,7,1,5,3]=>[3,7,1,5,2,8,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[7,8,4,1,6,3,2,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,1,6,3,8,7,2,5]=>[7,2,8,4,6,5,1,3]=>[2,7,1,5,3,4,8,6]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[7,5,1,8,4,3,2,6]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,5,1,7,4,3,2,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[4,1,6,8,3,7,2,5]=>[7,2,8,6,5,4,1,3]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[5,4,6,1,3,8,2,7]=>[7,5,4,3,2,8,1,6]=>[2,4,5,6,7,1,8,3]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[1,3,5,7,6,2,8,4]=>[1,6,8,5,4,2,7,3]=>[8,3,1,4,5,7,2,6]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]
[1,3,5,7,2,6,8,4]=>[1,5,8,6,2,4,7,3]=>[8,4,1,3,7,5,2,6]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]
[1,3,5,2,7,6,4,8]=>[1,4,7,2,6,5,3,8]=>[8,5,2,7,3,4,6,1]=>[[[[.,.],.],[[.,.],[.,[.,.]]]],.]
[1,3,5,7,4,6,8,2]=>[1,8,5,6,3,4,7,2]=>[8,1,4,3,6,5,2,7]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]
[1,3,5,7,4,6,2,8]=>[1,7,5,6,3,4,2,8]=>[8,2,4,3,6,5,7,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[1,3,5,4,7,2,8,6]=>[1,6,4,3,8,2,7,5]=>[8,3,5,6,1,7,2,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[1,3,5,7,4,2,8,6]=>[1,6,5,8,3,2,7,4]=>[8,3,4,1,6,7,2,5]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[1,3,5,7,4,8,2,6]=>[1,7,5,8,3,6,2,4]=>[8,2,4,1,6,3,7,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[1,3,5,7,4,8,6,2]=>[1,8,5,7,3,6,4,2]=>[8,1,4,2,6,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,3,5,7,8,4,6,2]=>[1,8,6,7,5,3,4,2]=>[8,1,3,2,4,6,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[1,3,5,2,7,8,6,4]=>[1,4,8,2,7,6,5,3]=>[8,5,1,7,2,3,4,6]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[1,3,5,7,2,8,6,4]=>[1,5,8,7,2,6,4,3]=>[8,4,1,2,7,3,5,6]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[1,3,5,7,8,2,6,4]=>[1,6,8,7,5,2,4,3]=>[8,3,1,2,4,7,5,6]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]
[3,5,1,6,2,8,7,4]=>[5,8,3,4,1,7,6,2]=>[4,1,6,5,8,2,3,7]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[2,6,1,7,4,3,8,5]=>[3,8,1,6,5,4,7,2]=>[6,1,8,3,4,5,2,7]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[1,4,7,3,5,2,8,6]=>[1,6,8,4,5,2,7,3]=>[8,3,1,5,4,7,2,6]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]
[1,3,7,5,2,4,8,6]=>[1,5,8,6,2,4,7,3]=>[8,4,1,3,7,5,2,6]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]
[2,5,7,4,3,8,1,6]=>[7,5,8,4,2,6,1,3]=>[2,4,1,5,7,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[2,5,3,7,4,8,1,6]=>[7,5,3,8,2,6,1,4]=>[2,4,6,1,7,3,8,5]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[1,4,7,2,3,8,6,5]=>[1,5,8,4,2,7,6,3]=>[8,4,1,5,7,2,3,6]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]
[2,4,7,3,1,8,6,5]=>[5,4,8,2,1,7,6,3]=>[4,5,1,7,8,2,3,6]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[1,4,6,3,8,2,7,5]=>[1,6,8,4,7,2,5,3]=>[8,3,1,5,2,7,4,6]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[1,3,5,2,8,7,6,4]=>[1,4,8,2,7,6,5,3]=>[8,5,1,7,2,3,4,6]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[1,4,7,3,8,2,6,5]=>[1,6,8,4,7,2,5,3]=>[8,3,1,5,2,7,4,6]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[2,5,1,7,8,4,6,3]=>[3,8,1,7,6,5,4,2]=>[6,1,8,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[3,2,6,7,8,1,5,4]=>[6,2,8,7,5,1,4,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[3,5,2,7,8,4,1,6]=>[7,6,3,8,5,2,1,4]=>[2,3,6,1,4,7,8,5]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[1,5,7,4,8,3,2,6]=>[1,7,8,6,5,4,2,3]=>[8,2,1,3,4,5,7,6]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[2,5,1,6,8,4,7,3]=>[3,8,1,6,7,4,5,2]=>[6,1,8,3,2,5,4,7]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[4,6,2,1,7,8,3,5]=>[7,8,4,3,5,6,1,2]=>[2,1,5,6,4,3,8,7]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]
[3,5,2,6,8,4,7,1]=>[8,6,3,4,7,2,5,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[2,5,4,6,8,7,1,3]=>[7,8,3,4,6,5,1,2]=>[2,1,6,5,3,4,8,7]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]
[1,3,6,2,8,7,5,4]=>[1,4,8,2,7,6,5,3]=>[8,5,1,7,2,3,4,6]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[1,5,7,2,4,8,6,3]=>[1,8,7,4,5,6,3,2]=>[8,1,2,5,4,3,6,7]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[4,6,3,7,2,8,5,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[3,2,6,7,8,5,1,4]=>[7,2,8,6,5,4,1,3]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[1,3,7,2,8,6,5,4]=>[1,4,8,2,7,6,5,3]=>[8,5,1,7,2,3,4,6]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[5,1,6,8,2,4,3,7]=>[7,2,6,8,5,3,1,4]=>[2,7,3,1,4,6,8,5]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]
[5,3,7,8,2,4,1,6]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[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]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[2,4,7,8,3,1,5,6]=>[6,5,8,7,2,1,4,3]=>[3,4,1,2,7,8,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]
[6,3,1,5,8,2,4,7]=>[7,6,3,4,8,2,1,5]=>[2,3,6,5,1,7,8,4]=>[[.,[.,[[.,.],.]]],[[.,[.,.]],.]]
[6,5,3,4,2,8,1,7]=>[7,5,4,3,2,8,1,6]=>[2,4,5,6,7,1,8,3]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[5,2,4,3,8,1,6,7]=>[6,4,3,2,8,1,7,5]=>[3,5,6,7,1,8,2,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[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]=>[3,7,6,2,1,8,5,4]=>[[[.,[[.,.],.]],.],[[[.,.],.],.]]
[8,1,5,7,3,2,4,6]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[5,3,8,7,2,4,1,6]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[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]=>[4,7,1,5,8,2,3,6]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[3,2,8,4,1,7,6,5]=>[5,2,8,4,1,7,6,3]=>[4,7,1,5,8,2,3,6]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,3,7,8,4,1,6,5]=>[6,2,8,7,5,1,4,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[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]=>[4,7,1,5,8,3,2,6]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[8,1,6,4,2,3,7,5]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,7,8,6,2,3,1,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[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]=>[1,5,4,7,6,2,3,8]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[4,3,6,5,1,8,7,2]=>[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[4,6,3,5,1,8,7,2]=>[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[4,6,3,1,5,8,7,2]=>[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[4,6,1,5,3,8,7,2]=>[8,5,3,4,2,7,6,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[2,6,5,3,1,8,7,4]=>[5,8,4,3,1,7,6,2]=>[4,1,5,6,8,2,3,7]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[2,6,5,1,8,7,3,4]=>[4,8,7,1,6,5,3,2]=>[5,1,2,8,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[2,6,5,8,1,7,3,4]=>[5,8,7,6,1,4,3,2]=>[4,1,2,3,8,5,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[2,6,5,8,1,3,7,4]=>[5,8,6,7,1,3,4,2]=>[4,1,3,2,8,6,5,7]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]
[2,6,5,8,3,1,7,4]=>[6,8,5,7,3,1,4,2]=>[3,1,4,2,6,8,5,7]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[2,6,5,3,8,1,7,4]=>[6,8,4,3,7,1,5,2]=>[3,1,5,6,2,8,4,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[4,6,1,5,8,3,7,2]=>[8,6,3,4,7,2,5,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[4,1,6,5,8,3,7,2]=>[8,2,6,4,7,3,5,1]=>[1,7,3,5,2,6,4,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[1,4,6,5,8,3,7,2]=>[1,8,6,4,7,3,5,2]=>[8,1,3,5,2,6,4,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[4,1,6,5,8,7,3,2]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,1,6,8,5,7,3,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,4,6,8,5,7,3,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,4,6,8,5,3,7,2]=>[1,8,6,7,5,3,4,2]=>[8,1,3,2,4,6,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[2,6,8,5,3,1,7,4]=>[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[2,6,8,5,1,7,3,4]=>[5,8,7,6,1,4,3,2]=>[4,1,2,3,8,5,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[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]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[4,6,3,8,1,5,7,2]=>[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[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]=>[1,6,7,3,2,5,4,8]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]
[4,1,3,6,8,7,5,2]=>[8,2,3,7,6,5,4,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[4,3,6,1,8,7,5,2]=>[8,4,7,2,6,5,3,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[4,3,6,8,1,7,5,2]=>[8,5,7,6,2,4,3,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[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]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[1,4,6,3,8,7,5,2]=>[1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[4,1,6,8,3,7,5,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,6,1,8,3,7,5,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[4,2,1,3,8,5,7,6]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]]
[4,2,8,7,5,3,1,6]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[6,4,1,8,7,5,3,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,1,4,8,7,5,3,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,6,4,8,7,3,5,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,4,1,8,7,3,5,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,2,8,7,5,1,3,6]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[2,4,8,7,3,5,1,6]=>[7,5,8,6,2,4,1,3]=>[2,4,1,3,7,5,8,6]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[2,3,4,7,1,8,6,5]=>[5,2,3,8,1,7,6,4]=>[4,7,6,1,8,2,3,5]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]
[2,3,4,7,8,5,6,1]=>[8,2,3,7,6,5,4,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[2,3,6,7,4,8,5,1]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[2,5,6,3,7,8,1,4]=>[7,8,4,3,5,6,1,2]=>[2,1,5,6,4,3,8,7]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]
[2,6,1,3,7,8,5,4]=>[3,8,1,4,7,6,5,2]=>[6,1,8,5,2,3,4,7]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[2,5,6,7,4,8,1,3]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[2,3,7,8,4,5,6,1]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,6,7,3,4,8,5,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[1,5,3,2,6,4,7,8]=>[1,6,4,3,5,2,7,8]=>[8,3,5,6,4,7,2,1]=>[[[[.,.],[[.,[.,.]],[.,.]]],.],.]
[1,3,2,7,5,4,8,6]=>[1,3,2,8,6,5,7,4]=>[8,6,7,1,3,4,2,5]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[6,5,2,4,3,7,1,8]=>[7,5,4,3,2,6,1,8]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[6,4,2,5,3,7,1,8]=>[7,5,4,3,2,6,1,8]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[5,4,7,6,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[3,6,4,8,2,1,5,7]=>[6,7,5,8,3,1,2,4]=>[3,2,4,1,6,8,7,5]=>[[[.,.],[.,.]],[[.,[[.,.],.]],.]]
[4,6,2,3,7,5,1,8]=>[7,6,4,3,5,2,1,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[4,7,2,3,6,5,1,8]=>[7,6,4,3,5,2,1,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[4,7,2,3,5,6,1,8]=>[7,6,4,3,5,2,1,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[5,3,2,7,4,6,1,8]=>[7,5,3,6,2,4,1,8]=>[2,4,6,3,7,5,8,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[5,3,2,6,4,7,1,8]=>[7,5,3,4,2,6,1,8]=>[2,4,6,5,7,3,8,1]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[4,6,2,3,5,7,1,8]=>[7,5,4,3,2,6,1,8]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[3,5,2,1,6,8,4,7]=>[4,7,3,1,5,8,2,6]=>[5,2,6,8,4,1,7,3]=>[[[.,.],[[.,[.,.]],.]],[[.,.],.]]
[1,5,2,6,8,4,3,7]=>[1,7,3,6,8,4,2,5]=>[8,2,6,3,1,5,7,4]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]]
[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]=>[4,6,7,2,8,1,5,3]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]
[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]=>[4,7,1,5,8,3,2,6]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[2,3,1,8,4,5,7,6]=>[3,2,1,8,5,6,7,4]=>[6,7,8,1,4,3,2,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[7,3,2,1,4,5,8,6]=>[8,4,3,2,5,6,7,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,[.,[.,.]]],.],.],[.,.]]]
[7,8,1,4,3,5,2,6]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,7,6,5,4,2,3,8]=>[.,[[[[[.,.],.],.],.],[.,[.,.]]]]
[8,1,2,3,4,6,7,5]=>[8,2,3,4,5,7,6,1]=>[1,7,6,5,4,2,3,8]=>[.,[[[[[.,.],.],.],.],[.,[.,.]]]]
[8,7,1,4,3,5,2,6]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,3,2,1,4,5,7,6]=>[8,4,3,2,5,6,7,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,[.,[.,.]]],.],.],[.,.]]]
[1,7,8,3,5,4,2,6]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,1,8,3,5,2,6]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,4,1,7,3,5,2,6]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,8,4,6,2,1,5,7]=>[6,8,5,7,3,1,4,2]=>[3,1,4,2,6,8,5,7]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[8,4,2,5,3,1,6,7]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,5,2,4,3,1,6,7]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,3,2,5,1,8,6,7]=>[5,3,2,4,1,8,7,6]=>[4,6,7,5,8,1,2,3]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]
[3,5,2,4,1,8,6,7]=>[5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[2,4,7,8,1,5,3,6]=>[5,7,8,6,1,4,2,3]=>[4,2,1,3,8,5,7,6]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]]
[1,8,7,3,5,4,2,6]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,1,8,2,7,4,3,6]=>[7,2,8,4,6,5,1,3]=>[2,7,1,5,3,4,8,6]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[5,1,7,2,8,4,3,6]=>[7,2,8,4,6,5,1,3]=>[2,7,1,5,3,4,8,6]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[6,1,2,8,5,3,4,7]=>[7,2,3,8,6,5,1,4]=>[2,7,6,1,3,4,8,5]=>[[.,[[.,.],.]],[.,[.,[[.,.],.]]]]
[6,3,2,1,8,4,5,7]=>[7,4,3,2,8,6,1,5]=>[2,5,6,7,1,3,8,4]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]
[7,3,2,8,4,5,1,6]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,8,2,3,4,6,1,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,8,1,3,4,7,2,5]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,7,2,3,4,6,8,5]=>[1,8,3,4,5,6,7,2]=>[8,1,6,5,4,3,2,7]=>[[.,.],[[[[[.,.],.],.],.],[.,.]]]
[7,6,2,3,4,1,8,5]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,3,2,7,4,5,1,6]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,7,2,3,4,1,8,5]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,6,2,3,4,8,1,5]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,8,4,1,2,6,7,3]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,3,7,2,6,1,8,4]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,2,8,1,6,3,7,4]=>[8,4,7,2,6,5,3,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[4,8,2,5,1,7,6,3]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,8,4,1,2,6,5,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[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]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,8,7,6,3,1,4,5]=>[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[1,8,7,6,2,4,3,5]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,7,6,3,4,2,5]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,8,1,4,5,6,7,3]=>[3,8,1,7,5,6,4,2]=>[6,1,8,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[6,1,2,8,5,7,3,4]=>[8,2,3,7,6,5,4,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[6,2,1,8,5,7,3,4]=>[8,3,2,7,6,5,4,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[6,3,1,8,5,7,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,4,2,1,7,5,8,3]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[6,1,3,8,5,2,7,4]=>[8,2,6,7,5,3,4,1]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[2,3,7,1,6,8,5,4]=>[4,2,8,1,7,6,5,3]=>[5,7,1,8,2,3,4,6]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[1,3,7,2,6,8,5,4]=>[1,4,8,2,7,6,5,3]=>[8,5,1,7,2,3,4,6]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[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]=>[2,7,1,4,5,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[1,2,7,5,6,3,8,4]=>[1,2,8,6,5,4,7,3]=>[8,7,1,3,4,5,2,6]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]
[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]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[3,8,7,6,2,1,5,4]=>[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[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]=>[2,7,1,4,5,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[3,8,7,6,4,2,1,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[3,4,6,1,5,7,2,8]=>[7,4,5,2,3,6,1,8]=>[2,5,4,7,6,3,8,1]=>[[.,[[[.,.],[[.,.],.]],[.,.]]],.]
[1,6,8,5,7,3,4,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,4,1,5,8,6,3,7]=>[3,7,1,4,8,6,2,5]=>[6,2,8,5,1,3,7,4]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]
[5,6,7,2,1,4,8,3]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[8,2,1,5,4,3,7,6]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]
[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]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[7,3,2,5,1,4,8,6]=>[8,5,3,6,2,4,7,1]=>[1,4,6,3,7,5,2,8]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[1,5,8,3,4,6,7,2]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[8,3,1,2,4,7,6,5]=>[8,4,3,2,5,7,6,1]=>[1,5,6,7,4,2,3,8]=>[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]
[2,3,8,1,6,5,4,7]=>[4,2,8,1,7,6,5,3]=>[5,7,1,8,2,3,4,6]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[8,1,4,7,2,5,3,6]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,5,2,4,1,7,8,6]=>[5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[3,4,7,8,6,2,1,5]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[3,4,8,6,2,7,1,5]=>[7,5,8,6,2,4,1,3]=>[2,4,1,3,7,5,8,6]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,1,2,7,5,3,8,4]=>[8,2,3,6,5,4,7,1]=>[1,7,6,3,4,5,2,8]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[7,3,2,8,6,4,1,5]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[8,1,4,3,6,5,2,7]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]
[7,3,5,2,6,1,8,4]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,3,8,7,6,5,1,4]=>[7,2,8,6,5,4,1,3]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[1,2,8,7,3,6,5,4]=>[1,2,8,7,5,6,4,3]=>[8,7,1,2,4,3,5,6]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[4,2,8,7,3,6,1,5]=>[7,5,8,6,2,4,1,3]=>[2,4,1,3,7,5,8,6]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,5,8,7,3,2,1,6]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[2,6,8,1,7,5,4,3]=>[4,8,7,1,6,5,3,2]=>[5,1,2,8,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[3,6,8,4,7,2,1,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[3,2,8,4,7,6,1,5]=>[7,2,8,4,6,5,1,3]=>[2,7,1,5,3,4,8,6]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[1,5,8,3,7,2,6,4]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,5,8,4,2,7,6,3]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,5,8,2,3,7,6,4]=>[1,8,7,4,5,6,3,2]=>[8,1,2,5,4,3,6,7]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[2,1,8,4,3,7,6,5]=>[2,1,8,5,4,7,6,3]=>[7,8,1,4,5,2,3,6]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[2,5,8,4,3,7,1,6]=>[7,5,8,4,2,6,1,3]=>[2,4,1,5,7,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,8,4,3,2,1,7]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[7,1,2,8,6,5,4,3]=>[8,2,3,7,6,5,4,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[7,1,4,8,6,2,5,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[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]=>[8,1,6,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,6,4,8,7,2,5,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[3,2,4,8,7,6,1,5]=>[7,2,3,8,6,5,1,4]=>[2,7,6,1,3,4,8,5]=>[[.,[[.,.],.]],[.,[.,[[.,.],.]]]]
[3,1,5,8,7,2,6,4]=>[6,2,8,7,5,1,4,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[3,1,4,8,7,2,6,5]=>[6,2,3,8,7,1,5,4]=>[3,7,6,1,2,8,4,5]=>[[.,[[.,.],.]],[.,[[.,.],[.,.]]]]
[1,6,4,8,2,7,5,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,4,5,8,2,7,6,3]=>[1,8,5,7,3,6,4,2]=>[8,1,4,2,6,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[2,4,5,8,3,7,1,6]=>[7,5,3,8,2,6,1,4]=>[2,4,6,1,7,3,8,5]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[4,6,5,8,1,2,7,3]=>[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[1,6,4,8,3,2,7,5]=>[1,8,6,7,5,3,4,2]=>[8,1,3,2,4,6,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[1,4,5,8,3,2,7,6]=>[1,6,5,8,3,2,7,4]=>[8,3,4,1,6,7,2,5]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[7,6,1,4,8,2,5,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,6,1,3,8,2,5,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[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]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[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]=>[5,1,2,8,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,6,5,4,8,2,7,3]=>[1,8,6,4,7,3,5,2]=>[8,1,3,5,2,6,4,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[1,6,5,3,8,2,7,4]=>[1,8,6,4,7,3,5,2]=>[8,1,3,5,2,6,4,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[1,6,3,4,8,2,7,5]=>[1,8,6,4,7,3,5,2]=>[8,1,3,5,2,6,4,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[1,3,5,4,8,2,7,6]=>[1,6,4,3,8,2,7,5]=>[8,3,5,6,1,7,2,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[3,6,5,4,8,2,1,7]=>[7,6,4,3,8,2,1,5]=>[2,3,5,6,1,7,8,4]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[7,6,5,2,3,8,1,4]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,1,5,4,2,8,6,3]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[7,1,5,2,3,8,6,4]=>[8,2,7,4,5,6,3,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[2,6,5,4,3,8,1,7]=>[7,5,4,3,2,8,1,6]=>[2,4,5,6,7,1,8,3]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[7,1,5,4,3,2,8,6]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[3,1,4,2,6,8,7,5]=>[4,2,3,1,8,7,6,5]=>[5,7,6,8,1,2,3,4]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]
[8,3,4,2,6,1,7,5]=>[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[2,6,7,3,5,4,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,7,1,2,8,5,3,6]=>[7,8,3,4,6,5,1,2]=>[2,1,6,5,3,4,8,7]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]
[4,8,1,2,7,5,3,6]=>[7,8,3,4,6,5,1,2]=>[2,1,6,5,3,4,8,7]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]
[2,7,1,3,6,8,4,5]=>[3,8,1,4,7,6,5,2]=>[6,1,8,5,2,3,4,7]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[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]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[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]=>[2,3,6,5,4,7,8,1]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[7,4,3,1,5,6,8,2]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[6,7,4,1,5,8,3,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,7,5,1,6,8,3,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,5,3,1,7,6,8,2]=>[8,4,3,2,6,5,7,1]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[4,6,1,2,7,5,3,8]=>[7,6,3,4,5,2,1,8]=>[2,3,6,5,4,7,8,1]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[4,1,8,2,6,5,3,7]=>[7,2,8,4,6,5,1,3]=>[2,7,1,5,3,4,8,6]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[4,6,1,2,8,5,3,7]=>[7,6,3,4,8,2,1,5]=>[2,3,6,5,1,7,8,4]=>[[.,[.,[[.,.],.]]],[[.,[.,.]],.]]
[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]=>[1,7,5,6,2,3,4,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,4,8,2,1,5,3,7]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[6,7,3,2,5,1,4,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,1,3,4,7,6,8,2]=>[8,2,4,3,6,5,7,1]=>[1,7,5,6,3,4,2,8]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[6,1,4,2,7,5,3,8]=>[7,2,6,4,5,3,1,8]=>[2,7,3,5,4,6,8,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[5,4,3,7,1,6,8,2]=>[8,5,3,6,2,4,7,1]=>[1,4,6,3,7,5,2,8]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[6,7,5,4,1,8,3,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,6,4,2,1,5,3,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[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]=>[1,8,2,3,4,5,6,7,9]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]
[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]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[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]=>[1,9,2,3,4,5,6,7,8,10]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,8,1,5,3,2,4,6]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,1,7,5,3,2,4,6]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,6,1,4,5,2,3,7]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[8,4,1,7,5,2,3,6]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,2,7,1,5,4,3,6]=>[8,4,7,2,6,5,3,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,2,6,1,7,4,3,5]=>[8,4,7,2,6,5,3,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,1,7,4,3,2,6,5]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,5,7,3,2,6,4]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[5,8,1,6,7,2,3,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,5,1,6,8,2,3,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,1,6,4,7,2,3,5]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,8,1,7,3,2,4,5]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,1,8,4,3,6,2,5]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,3,1,8,6,4,2,5]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,3,1,7,4,6,2,5]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,3,4,7,1,2,6,5]=>[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[8,2,7,4,1,3,6,5]=>[8,5,7,6,2,4,3,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[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]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[2,6,8,7,1,5,4,3]=>[5,8,7,6,1,4,3,2]=>[4,1,2,3,8,5,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[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]=>[3,2,6,5,1,8,7,4]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]
[2,4,5,7,3,6,8,1]=>[8,5,3,6,2,4,7,1]=>[1,4,6,3,7,5,2,8]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[5,2,4,6,8,1,3,7]=>[7,6,3,4,8,2,1,5]=>[2,3,6,5,1,7,8,4]=>[[.,[.,[[.,.],.]]],[[.,[.,.]],.]]
[4,3,5,7,2,8,1,6]=>[7,5,3,8,2,6,1,4]=>[2,4,6,1,7,3,8,5]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[4,3,5,7,2,6,8,1]=>[8,5,3,6,2,4,7,1]=>[1,4,6,3,7,5,2,8]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[4,6,3,7,2,5,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,6,3,1,7,8,2,5]=>[7,8,4,3,5,6,1,2]=>[2,1,5,6,4,3,8,7]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]
[4,3,5,1,7,8,2,6]=>[7,4,3,2,8,6,1,5]=>[2,5,6,7,1,3,8,4]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]
[5,7,1,3,4,8,2,6]=>[7,8,3,5,4,6,1,2]=>[2,1,6,4,5,3,8,7]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[4,5,7,1,3,6,8,2]=>[8,5,6,4,2,3,7,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[4,3,6,7,1,5,8,2]=>[8,5,6,4,2,3,7,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[4,6,3,5,7,2,8,1]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[2,6,7,4,5,8,1,3]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[3,5,2,6,1,7,8,4]=>[5,8,3,4,1,6,7,2]=>[4,1,6,5,8,3,2,7]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]
[3,5,2,6,7,4,8,1]=>[8,6,3,4,5,2,7,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[5,2,3,6,7,4,8,1]=>[8,6,3,4,5,2,7,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[4,2,6,7,3,5,8,1]=>[8,5,6,4,2,3,7,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[6,3,7,2,4,5,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,7,2,4,8,1,5,6]=>[6,8,3,4,7,1,5,2]=>[3,1,6,5,2,8,4,7]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[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]=>[1,7,2,5,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[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]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[6,3,7,2,5,8,1,4]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,3,5,7,2,8,1,4]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,3,5,7,2,4,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,2,4,5,7,3,8,1]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[4,7,1,2,5,6,8,3]=>[8,6,3,4,5,2,7,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[4,6,7,1,2,5,8,3]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,6,2,4,7,3,8,1]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[5,4,2,6,7,3,8,1]=>[8,6,3,4,5,2,7,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[1,5,4,6,2,7,8,3]=>[1,8,5,4,3,6,7,2]=>[8,1,4,5,6,3,2,7]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,6,4,7,1,3,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,5,3,2,4,8,1,6]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,5,3,4,1,6,2,7]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,4,5,3,1,6,2,7]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,5,4,2,1,8,3,6]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,5,4,2,1,6,8,3]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,4,5,3,1,6,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,4,3,5,6,1,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,6,3,7,4,1,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,6,7,3,1,4,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,7,3,4,1,5,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,7,4,2,1,5,8,3]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,6,7,3,1,8,2,4]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,6,7,2,3,8,1,4]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,6,4,2,1,3,8,5]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,6,3,4,1,2,8,5]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,6,3,2,4,1,8,5]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,7,3,2,5,1,8,4]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,5,3,2,7,4,8,1]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[6,4,5,2,7,3,8,1]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[7,4,5,2,6,1,8,3]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,4,5,6,1,2,8,3]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,5,6,2,1,3,8,4]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,7,3,5,1,2,8,4]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,6,7,4,1,2,8,3]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,6,7,2,4,1,8,3]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,5,7,2,1,8,3,4]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,5,7,2,1,4,8,3]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,4,6,7,3,1,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,7,5,8,6,3,4,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,5,7,8,3,6,4,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,1,8,5,6,3,4,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,1,5,8,6,3,4,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,1,7,8,3,6,4,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,1,7,8,5,6,4,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,3,7,8,5,6,4,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,1,7,5,8,6,4,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,1,7,3,8,6,4,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,1,5,3,8,6,4,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,1,5,8,3,6,4,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,8,1,5,3,6,4,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,7,8,5,3,6,4,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,7,3,8,5,6,4,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,7,1,8,5,6,4,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,7,1,8,3,6,4,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,7,1,8,6,3,4,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,5,1,8,6,3,4,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,5,1,3,8,6,4,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,7,1,3,8,6,4,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,7,1,5,8,6,4,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,7,3,5,8,6,4,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,5,3,7,8,6,4,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,5,1,7,8,6,4,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,3,1,7,8,6,4,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,3,1,5,8,6,4,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,3,1,8,5,6,4,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,1,8,3,5,6,4,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,1,3,8,5,6,4,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,1,3,5,8,6,4,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,1,5,7,8,6,4,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,7,3,4,6,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,7,3,4,1,6,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,7,3,4,6,1,2,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,3,5,6,1,2,8,4]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,7,3,1,4,6,2,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,7,3,1,4,6,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,7,3,1,4,8,6,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,7,3,1,4,8,2,6]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[5,3,7,4,1,2,8,6]=>[6,5,8,4,2,1,7,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[5,3,7,4,1,2,6,8]=>[6,5,7,4,2,1,3,8]=>[3,4,2,5,7,8,6,1]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[5,3,7,1,4,2,6,8]=>[6,5,7,4,2,1,3,8]=>[3,4,2,5,7,8,6,1]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[5,3,7,1,4,2,8,6]=>[6,5,8,4,2,1,7,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[3,7,5,1,2,8,6,4]=>[5,8,7,4,1,6,3,2]=>[4,1,2,5,8,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[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]=>[4,1,3,5,8,6,2,7]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]
[6,1,4,3,5,2,8,7]=>[6,2,5,4,3,1,8,7]=>[3,7,4,5,6,8,1,2]=>[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]
[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]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,2,4,5,1,3,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[5,1,4,6,3,2,8,7]=>[6,2,5,4,3,1,8,7]=>[3,7,4,5,6,8,1,2]=>[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]
[3,5,6,2,4,1,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[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]=>[3,5,6,7,1,8,2,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,7,2,5,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,1,8,4,6,7,3,5]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[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]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[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]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[8,2,1,7,6,3,5,4]=>[8,3,2,7,6,5,4,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[3,2,4,5,8,1,7,6]=>[6,2,3,4,8,1,7,5]=>[3,7,6,5,1,8,2,4]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]
[7,4,6,3,2,1,8,5]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,7,3,2,1,8,6,5]=>[5,8,4,3,1,7,6,2]=>[4,1,5,6,8,2,3,7]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[6,4,7,5,2,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,7,2,6,5,1,8,3]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,4,2,1,8,5,7,3]=>[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[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]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[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]=>[1,3,6,5,4,7,2,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,4,6,7,3,5,8,1]=>[8,5,6,4,2,3,7,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,5,2,7,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[3,6,8,7,2,5,1,4]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[2,6,3,7,5,1,8,4]=>[6,8,3,5,4,1,7,2]=>[3,1,6,4,5,8,2,7]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[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]=>[2,1,6,5,3,4,8,7]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]
[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]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[1,3,4,6,2,8,7,5]=>[1,5,3,8,2,7,6,4]=>[8,4,6,1,7,2,3,5]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[5,2,3,6,1,8,7,4]=>[8,5,3,4,2,7,6,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[4,2,7,3,8,1,6,5]=>[6,4,8,2,7,1,5,3]=>[3,5,1,7,2,8,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[6,1,3,8,7,2,5,4]=>[8,2,6,7,5,3,4,1]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[3,1,5,6,2,8,7,4]=>[5,2,8,4,1,7,6,3]=>[4,7,1,5,8,2,3,6]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[1,2,4,6,3,8,7,5]=>[1,2,5,8,3,7,6,4]=>[8,7,4,1,6,2,3,5]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]
[4,1,5,2,8,7,6,3]=>[8,2,4,3,7,6,5,1]=>[1,7,5,6,2,3,4,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[7,1,4,2,8,6,5,3]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[5,1,3,7,2,8,6,4]=>[8,2,5,7,3,6,4,1]=>[1,7,4,2,6,3,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[4,1,5,3,2,8,7,6]=>[5,2,4,3,1,8,7,6]=>[4,7,5,6,8,1,2,3]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]
[2,6,1,4,3,8,7,5]=>[3,8,1,5,4,7,6,2]=>[6,1,8,4,5,2,3,7]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[3,6,2,4,1,8,7,5]=>[5,8,3,4,1,7,6,2]=>[4,1,6,5,8,2,3,7]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[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]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,3,6,2,8,1,7,4]=>[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[4,6,2,7,5,1,8,3]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,5,2,6,1,8,7,3]=>[8,5,3,4,2,7,6,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[1,5,3,6,2,8,7,4]=>[1,8,5,4,3,7,6,2]=>[8,1,4,5,6,2,3,7]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[1,5,8,3,2,7,6,4]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[2,5,8,3,1,7,6,4]=>[5,8,7,4,1,6,3,2]=>[4,1,2,5,8,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[3,6,2,5,1,4,8,7]=>[5,6,3,4,1,2,8,7]=>[4,3,6,5,8,7,1,2]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]
[5,2,8,4,1,3,7,6]=>[6,5,8,4,2,1,7,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[2,4,8,7,1,3,6,5]=>[5,6,8,7,1,2,4,3]=>[4,3,1,2,8,7,5,6]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]
[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]=>[5,3,6,8,1,7,2,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[6,3,1,7,2,8,5,4]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[1,6,2,3,8,7,5,4]=>[1,8,3,4,7,6,5,2]=>[8,1,6,5,2,3,4,7]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[1,5,2,3,8,7,6,4]=>[1,8,3,4,7,6,5,2]=>[8,1,6,5,2,3,4,7]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[4,5,1,2,8,7,6,3]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[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]=>[1,5,2,7,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[4,1,2,8,3,7,6,5]=>[5,2,3,8,1,7,6,4]=>[4,7,6,1,8,2,3,5]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]
[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]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,6,3,7,5,8,4,2]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,3,7,4,5,8,6,2]=>[1,8,7,4,5,6,3,2]=>[8,1,2,5,4,3,6,7]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[7,2,6,3,4,1,5,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,6,5,2,8,3,7,4]=>[1,8,6,4,7,3,5,2]=>[8,1,3,5,2,6,4,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[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]=>[3,2,4,5,6,8,7,1]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[5,7,2,6,4,1,3,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,1,3,7,5,8,4,2]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[4,1,7,3,6,8,5,2]=>[8,2,7,4,5,6,3,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[8,1,6,4,3,7,5,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,1,7,4,8,6,3,5]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[1,8,6,3,7,5,4,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,2,7,3,6,5,4]=>[1,8,3,7,5,6,4,2]=>[8,1,6,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[2,1,3,8,4,7,5,6]=>[2,1,3,8,5,7,6,4]=>[7,8,6,1,4,2,3,5]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]
[8,1,2,7,4,3,6,5]=>[8,2,3,7,6,5,4,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[5,3,1,6,8,4,7,2]=>[8,6,3,4,7,2,5,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[6,2,8,7,1,4,3,5]=>[8,5,7,6,2,4,3,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[8,7,2,1,5,4,3,6]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[8,2,3,1,4,6,5,7]=>[8,4,3,2,5,7,6,1]=>[1,5,6,7,4,2,3,8]=>[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]
[3,4,2,7,1,5,6,8]=>[5,3,2,7,1,6,4,8]=>[4,6,7,2,8,3,5,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[4,7,3,8,2,1,5,6]=>[6,8,5,7,3,1,4,2]=>[3,1,4,2,6,8,5,7]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[5,2,7,3,1,4,6,8]=>[6,5,7,4,2,1,3,8]=>[3,4,2,5,7,8,6,1]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[1,3,7,2,8,4,6,5]=>[1,4,8,2,7,6,5,3]=>[8,5,1,7,2,3,4,6]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[1,4,2,5,8,6,7,3]=>[1,8,3,4,7,6,5,2]=>[8,1,6,5,2,3,4,7]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[6,5,3,8,2,1,4,7]=>[7,6,5,8,3,2,1,4]=>[2,3,4,1,6,7,8,5]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[5,4,6,2,7,1,3,8]=>[7,6,4,3,5,2,1,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,5,1,2,8,3,7,4]=>[8,6,3,4,7,2,5,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[8,6,1,4,3,7,5,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,3,8,7,4,6,5,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,2,8,7,6,3,5,4]=>[1,2,8,7,6,5,4,3]=>[8,7,1,2,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[8,2,1,7,6,4,3,5]=>[8,3,2,7,6,5,4,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[2,3,1,8,7,4,5,6]=>[3,2,1,8,7,6,5,4]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[2,4,1,8,5,7,3,6]=>[3,7,1,8,5,6,2,4]=>[6,2,8,1,4,3,7,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[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]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,7,1,6,5,4,3,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,1,8,3,6,5,4,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,1,8,7,5,6,3,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,1,7,8,4,6,3,5]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[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]=>[7,8,2,4,5,1,6,3]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]
[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]=>[2,3,4,1,6,7,8,5]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[4,6,3,7,5,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[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]=>[1,3,6,5,2,7,4,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[7,2,3,4,6,1,8,5]=>[8,6,3,4,5,2,7,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[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]=>[4,6,7,3,8,5,1,2]=>[[[.,[.,[.,.]]],[[.,.],.]],[.,.]]
[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]=>[1,3,6,5,2,7,4,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[5,2,3,4,8,7,1,6]=>[7,4,3,2,8,6,1,5]=>[2,5,6,7,1,3,8,4]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[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]=>[1,3,6,5,4,7,2,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[6,2,3,4,8,5,1,7]=>[7,6,3,4,8,2,1,5]=>[2,3,6,5,1,7,8,4]=>[[.,[.,[[.,.],.]]],[[.,[.,.]],.]]
[8,2,3,4,1,7,5,6]=>[8,5,3,4,2,7,6,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[6,8,3,1,5,7,4,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,2,3,4,1,8,6,5]=>[8,5,3,4,2,7,6,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[1,2,3,4,8,7,5,6]=>[1,2,3,4,8,7,6,5]=>[8,7,6,5,1,2,3,4]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]
[1,2,8,5,3,4,6,7]=>[1,2,8,6,5,4,7,3]=>[8,7,1,3,4,5,2,6]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]
[1,8,4,2,3,5,6,7]=>[1,8,5,4,3,6,7,2]=>[8,1,4,5,6,3,2,7]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,7,1,5,4,6,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[8,1,3,2,4,6,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[8,7,1,4,2,5,6,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,8,7,1,2,5,6,4]=>[5,8,7,4,1,6,3,2]=>[4,1,2,5,8,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[3,5,8,7,1,2,6,4]=>[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[2,3,8,5,7,1,6,4]=>[6,2,8,7,5,1,4,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[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]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[3,2,8,6,7,5,1,4]=>[7,2,8,6,5,4,1,3]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[4,1,8,6,2,7,5,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[8,2,1,3,4,5,7,6]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[5,7,1,8,2,6,3,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,8,7,1,5,6,3,4]=>[4,8,7,1,6,5,3,2]=>[5,1,2,8,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[8,7,1,5,2,4,6,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,1,8,2,4,6,5,3]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[1,6,2,8,4,7,5,3]=>[1,8,3,7,6,5,4,2]=>[8,1,6,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,3,8,5,7,2,6,4]=>[1,6,8,7,5,2,4,3]=>[8,3,1,2,4,7,5,6]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]
[1,8,3,7,2,5,6,4]=>[1,8,5,7,3,6,4,2]=>[8,1,4,2,6,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[5,7,1,8,2,3,6,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,1,8,2,3,5,6,4]=>[8,2,7,4,5,6,3,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,2,7,1,3,6,4,5]=>[8,4,7,2,5,6,3,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[2,8,3,6,7,1,5,4]=>[6,8,3,7,5,1,4,2]=>[3,1,6,2,4,8,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[1,8,7,2,3,6,4,5]=>[1,8,7,4,5,6,3,2]=>[8,1,2,5,4,3,6,7]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[1,8,7,2,6,3,4,5]=>[1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,2,7,6,3,4,5]=>[1,8,3,7,6,5,4,2]=>[8,1,6,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[8,2,7,4,1,5,6,3]=>[8,5,7,6,2,4,3,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[8,2,1,7,5,6,3,4]=>[8,3,2,7,6,5,4,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[8,7,3,1,5,6,2,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,3,1,6,7,5,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[8,1,6,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,2,8,6,7,5,3,4]=>[1,2,8,7,6,5,4,3]=>[8,7,1,2,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,8,3,6,7,5,2,4]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,2,3,6,7,5,1,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,4,2,6,7,5,3]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[1,2,8,6,7,3,5,4]=>[1,2,8,7,6,5,4,3]=>[8,7,1,2,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[8,1,2,7,3,6,4,5]=>[8,2,3,7,5,6,4,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[8,1,7,3,6,2,4,5]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,7,2,6,3,4,5]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,1,7,2,3,6,4,5]=>[8,2,7,4,5,6,3,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[8,1,3,7,2,5,6,4]=>[8,2,5,7,3,6,4,1]=>[1,7,4,2,6,3,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[1,8,3,6,7,2,5,4]=>[1,8,6,7,5,3,4,2]=>[8,1,3,2,4,6,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[1,7,8,2,3,6,5,4]=>[1,8,7,4,5,6,3,2]=>[8,1,2,5,4,3,6,7]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[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]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[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]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[3,7,1,8,6,2,5,4]=>[6,8,3,7,5,1,4,2]=>[3,1,6,2,4,8,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[3,1,7,5,8,4,2,6]=>[7,2,8,6,5,4,1,3]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[3,1,6,8,7,5,2,4]=>[7,2,8,6,5,4,1,3]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,4,6,2,3,8,1,5]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,4,2,5,8,3,7,1]=>[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[4,6,5,8,1,3,2,7]=>[7,6,5,8,3,2,1,4]=>[2,3,4,1,6,7,8,5]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[4,7,1,5,3,8,2,6]=>[7,8,3,5,4,6,1,2]=>[2,1,6,4,5,3,8,7]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[5,7,1,3,4,6,2,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[5,8,1,3,2,4,6,7]=>[6,8,3,5,4,1,7,2]=>[3,1,6,4,5,8,2,7]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[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]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[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]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,5,3,4,1,2,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[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]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[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]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,4,2,5,6,1,3,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,4,2,8,1,5,7,3]=>[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[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]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,4,3,1,5,6,2,8]=>[7,6,4,3,5,2,1,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[7,4,5,2,6,1,3,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[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]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[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]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,7,4,3,6,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,2,5,6,7,1,8,3]=>[8,6,3,4,5,2,7,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[7,2,6,3,5,1,8,4]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,1,3,6,7,2,4,5]=>[8,2,6,7,5,3,4,1]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[8,1,4,2,5,6,3,7]=>[8,2,7,4,5,6,3,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[8,1,4,2,7,5,3,6]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,1,3,8,2,7,4,5]=>[8,2,5,7,3,6,4,1]=>[1,7,4,2,6,3,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[3,6,2,4,1,7,8,5]=>[5,8,3,4,1,6,7,2]=>[4,1,6,5,8,3,2,7]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]
[6,2,7,3,1,5,8,4]=>[8,5,6,4,2,3,7,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[6,3,4,1,8,5,7,2]=>[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[1,7,5,2,8,6,3,4]=>[1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[3,7,4,1,8,5,6,2]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[3,6,4,8,1,5,7,2]=>[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[3,5,7,4,1,6,8,2]=>[8,5,6,4,2,3,7,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[4,5,1,8,2,3,7,6]=>[6,5,3,8,2,1,7,4]=>[3,4,6,1,7,8,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[4,7,1,8,2,6,3,5]=>[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[6,3,1,8,5,2,4,7]=>[7,6,3,8,5,2,1,4]=>[2,3,6,1,4,7,8,5]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[3,5,2,1,8,4,6,7]=>[4,6,3,1,8,2,7,5]=>[5,3,6,8,1,7,2,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[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]=>[1,3,6,5,4,7,2,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[5,2,6,1,3,4,8,7]=>[6,4,5,2,3,1,8,7]=>[3,5,4,7,6,8,1,2]=>[[.,[[.,.],[[.,.],[.,.]]]],[.,.]]
[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]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[6,7,1,4,3,5,2,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[7,8,2,3,1,5,4,6]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[2,4,6,5,7,3,8,1]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[6,7,2,4,1,5,3,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,7,2,4,3,5,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,7,2,3,1,5,4,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,7,3,5,4,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,4,1,6,5,7,3,8]=>[3,7,1,5,4,6,2,8]=>[6,2,8,4,5,3,7,1]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[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]=>[6,2,8,4,5,3,7,1]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[3,6,5,7,4,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,6,2,4,3,7,1,8]=>[7,5,4,3,2,6,1,8]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[4,5,2,6,1,7,3,8]=>[7,5,3,4,2,6,1,8]=>[2,4,6,5,7,3,8,1]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[4,5,1,6,3,7,2,8]=>[7,5,3,4,2,6,1,8]=>[2,4,6,5,7,3,8,1]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[4,5,3,6,1,7,2,8]=>[7,5,3,4,2,6,1,8]=>[2,4,6,5,7,3,8,1]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[5,6,3,4,1,7,2,8]=>[7,5,4,3,2,6,1,8]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[5,6,1,4,3,7,2,8]=>[7,5,3,4,2,6,1,8]=>[2,4,6,5,7,3,8,1]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[5,6,1,3,2,7,4,8]=>[7,5,3,4,2,6,1,8]=>[2,4,6,5,7,3,8,1]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[5,6,4,7,1,3,2,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,7,4,5,1,3,2,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[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]=>[4,5,6,7,8,2,3,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[4,6,5,7,1,3,2,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,6,1,3,2,7,5,8]=>[5,7,3,4,1,6,2,8]=>[4,2,6,5,8,3,7,1]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[1,4,3,6,2,7,5,8]=>[1,5,3,7,2,6,4,8]=>[8,4,6,2,7,3,5,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[4,5,2,3,1,7,6,8]=>[5,4,3,2,1,7,6,8]=>[4,5,6,7,8,2,3,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[4,6,5,7,3,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,6,5,7,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[3,5,4,6,1,7,2,8]=>[7,5,3,4,2,6,1,8]=>[2,4,6,5,7,3,8,1]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[3,5,1,6,4,7,2,8]=>[7,5,3,4,2,6,1,8]=>[2,4,6,5,7,3,8,1]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[3,5,2,6,1,7,4,8]=>[5,7,3,4,1,6,2,8]=>[4,2,6,5,8,3,7,1]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[3,5,2,6,4,7,1,8]=>[7,5,3,4,2,6,1,8]=>[2,4,6,5,7,3,8,1]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[3,4,2,6,1,7,5,8]=>[5,3,2,7,1,6,4,8]=>[4,6,7,2,8,3,5,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[2,4,3,6,1,7,5,8]=>[5,3,2,7,1,6,4,8]=>[4,6,7,2,8,3,5,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[2,5,3,6,4,7,1,8]=>[7,5,3,4,2,6,1,8]=>[2,4,6,5,7,3,8,1]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[2,5,3,6,1,7,4,8]=>[5,7,3,4,1,6,2,8]=>[4,2,6,5,8,3,7,1]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[4,6,2,7,3,5,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[5,4,1,8,7,2,3,6]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]
[5,2,6,7,4,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[2,5,7,3,1,8,6,4]=>[5,8,7,4,1,6,3,2]=>[4,1,2,5,8,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,5,7,2,8,3,6,4]=>[1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[2,5,7,3,1,8,4,6]=>[5,7,8,4,1,6,2,3]=>[4,2,1,5,8,3,7,6]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]
[1,3,7,2,8,5,6,4]=>[1,4,8,2,7,6,5,3]=>[8,5,1,7,2,3,4,6]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[2,1,5,6,8,4,3,7]=>[2,1,7,6,8,4,3,5]=>[7,8,2,3,1,5,6,4]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]
[2,4,7,3,1,8,5,6]=>[5,4,8,2,1,7,6,3]=>[4,5,1,7,8,2,3,6]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[1,3,7,2,8,5,4,6]=>[1,4,8,2,7,6,5,3]=>[8,5,1,7,2,3,4,6]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[4,6,2,7,1,8,3,5]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[1,6,4,5,7,8,3,2]=>[1,8,7,4,5,6,3,2]=>[8,1,2,5,4,3,6,7]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[2,5,1,7,8,6,3,4]=>[3,8,1,7,6,5,4,2]=>[6,1,8,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,3,6,2,8,7,4,5]=>[1,4,8,2,7,6,5,3]=>[8,5,1,7,2,3,4,6]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[2,1,5,6,8,4,7,3]=>[2,1,8,6,7,4,5,3]=>[7,8,1,3,2,5,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[2,4,1,7,8,5,6,3]=>[3,8,1,7,6,5,4,2]=>[6,1,8,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,3,6,2,8,4,7,5]=>[1,4,8,2,7,6,5,3]=>[8,5,1,7,2,3,4,6]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[2,1,5,6,8,7,3,4]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[6,2,4,7,5,8,3,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[1,5,7,8,4,2,6,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[3,4,6,1,7,8,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[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]=>[4,1,2,3,8,5,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[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]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[4,6,3,1,7,5,2,8]=>[7,6,4,3,5,2,1,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[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]=>[5,3,1,8,4,7,2,6]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]
[4,3,2,6,1,7,5,8]=>[5,3,2,7,1,6,4,8]=>[4,6,7,2,8,3,5,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[5,3,2,1,6,4,7,8]=>[6,4,3,2,5,1,7,8]=>[3,5,6,7,4,8,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[5,3,1,6,2,7,4,8]=>[7,5,3,4,2,6,1,8]=>[2,4,6,5,7,3,8,1]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[5,1,6,3,2,7,4,8]=>[7,2,5,4,3,6,1,8]=>[2,7,4,5,6,3,8,1]=>[[.,[[[.,.],[.,[.,.]]],[.,.]]],.]
[4,6,1,7,5,3,2,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[5,1,6,3,7,4,2,8]=>[7,2,6,4,5,3,1,8]=>[2,7,3,5,4,6,8,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[5,3,6,4,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[5,3,2,6,4,1,7,8]=>[6,5,3,4,2,1,7,8]=>[3,4,6,5,7,8,2,1]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[5,2,6,3,1,7,4,8]=>[7,5,4,3,2,6,1,8]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[3,6,2,1,7,4,5,8]=>[4,7,3,1,6,5,2,8]=>[5,2,6,8,3,4,7,1]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[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]=>[5,4,2,8,7,3,6,1]=>[[[[.,.],.],[[[.,.],.],[.,.]]],.]
[5,1,6,2,7,4,3,8]=>[7,2,6,4,5,3,1,8]=>[2,7,3,5,4,6,8,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[5,2,6,4,3,1,7,8]=>[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[5,2,1,6,4,3,7,8]=>[6,3,2,5,4,1,7,8]=>[3,6,7,4,5,8,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[5,4,2,1,6,3,7,8]=>[6,4,3,2,5,1,7,8]=>[3,5,6,7,4,8,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[5,4,2,6,3,1,7,8]=>[6,5,3,4,2,1,7,8]=>[3,4,6,5,7,8,2,1]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[5,4,1,6,2,7,3,8]=>[7,5,3,4,2,6,1,8]=>[2,4,6,5,7,3,8,1]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[5,1,6,4,2,7,3,8]=>[7,2,5,4,3,6,1,8]=>[2,7,4,5,6,3,8,1]=>[[.,[[[.,.],[.,[.,.]]],[.,.]]],.]
[2,6,1,5,4,3,7,8]=>[3,6,1,5,4,2,7,8]=>[6,3,8,4,5,7,2,1]=>[[[[.,.],[[.,.],[.,[.,.]]]],.],.]
[3,1,6,2,5,4,7,8]=>[4,2,6,1,5,3,7,8]=>[5,7,3,8,4,6,2,1]=>[[[[.,[.,.]],[[.,.],[.,.]]],.],.]
[5,4,1,6,3,2,7,8]=>[6,5,3,4,2,1,7,8]=>[3,4,6,5,7,8,2,1]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[5,4,3,1,6,2,7,8]=>[6,4,3,2,5,1,7,8]=>[3,5,6,7,4,8,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[7,2,8,1,5,4,3,6]=>[8,4,7,2,6,5,3,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[4,2,7,6,5,8,1,3]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,8,2,6,5,4,1,7]=>[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[7,2,8,6,1,4,3,5]=>[8,5,7,6,2,4,3,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[5,2,7,6,8,4,1,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,5,1,6,8,4,3,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,4,2,1,5,6,3,8]=>[7,6,4,3,5,2,1,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[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]=>[2,3,6,5,4,7,8,1]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[3,10,2,8,7,6,5,4,1,9]=>[9,10,3,8,7,6,5,4,1,2]=>[2,1,8,3,4,5,6,7,10,9]=>[[.,.],[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]]
[6,7,1,4,3,2,5,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[3,5,6,2,4,7,1,8]=>[7,5,4,3,2,6,1,8]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[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]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[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]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[4,7,3,5,1,8,6,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[5,4,2,1,7,8,3,6]=>[7,4,3,2,8,6,1,5]=>[2,5,6,7,1,3,8,4]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]
[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]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[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]=>[6,7,8,1,4,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[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]=>[8,1,4,2,6,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,7,5,3,8,2,6,4]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,6,3,2,7,5,1,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,7,6,4,3,8,2,5]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[3,4,2,8,7,6,1,5]=>[7,3,2,8,6,5,1,4]=>[2,6,7,1,3,4,8,5]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]
[5,1,4,3,2,7,8,6]=>[5,2,4,3,1,8,7,6]=>[4,7,5,6,8,1,2,3]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]
[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]=>[3,1,4,5,6,8,2,7]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[1,6,8,2,5,7,4,3]=>[1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[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]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[5,3,1,7,8,4,2,6]=>[7,6,3,8,5,2,1,4]=>[2,3,6,1,4,7,8,5]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[2,7,6,4,1,3,8,5]=>[5,8,6,4,1,3,7,2]=>[4,1,3,5,8,6,2,7]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]
[8,4,2,7,6,3,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,2,7,5,3,1,8,4]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[1,5,8,2,7,4,6,3]=>[1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[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]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[5,7,4,6,2,1,8,3]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,7,2,4,3,8,1,5]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,4,3,8,6,7,1,5]=>[7,3,2,8,6,5,1,4]=>[2,6,7,1,3,4,8,5]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]
[1,8,2,7,4,5,3,6]=>[1,8,3,7,6,5,4,2]=>[8,1,6,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[2,5,4,8,3,6,1,7]=>[7,5,3,8,2,6,1,4]=>[2,4,6,1,7,3,8,5]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[2,3,1,8,5,6,4,7]=>[3,2,1,8,7,6,5,4]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,7,2,3,1,6,4,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,7,2,4,3,6,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,6,2,7,1,5,3,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,7,1,6,2,5,3,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[4,7,1,5,3,6,2,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[4,6,3,5,1,7,2,8]=>[7,5,4,3,2,6,1,8]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[6,7,3,5,1,4,2,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,6,3,7,1,4,2,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,7,1,6,3,4,2,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[1,8,5,6,3,4,2,7]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,5,6,4,7,2,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[4,1,6,5,8,2,3,7]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[3,5,1,4,2,8,6,7]=>[5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[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]=>[2,3,4,1,6,7,8,5]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[3,4,2,6,5,8,1,7]=>[7,3,2,5,4,8,1,6]=>[2,6,7,4,5,1,8,3]=>[[.,[[.,[.,.]],[.,.]]],[[.,.],.]]
[1,8,3,5,4,7,2,6]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[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]=>[4,1,5,6,8,2,3,7]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[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]=>[2,4,6,1,7,3,8,5]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[2,6,3,8,1,7,4,5]=>[5,8,3,7,1,6,4,2]=>[4,1,6,2,8,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[2,7,1,8,3,6,4,5]=>[3,8,1,7,5,6,4,2]=>[6,1,8,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,2,8,7,4,6,3,5]=>[1,2,8,7,6,5,4,3]=>[8,7,1,2,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,5,2,8,7,6,3,4]=>[1,8,3,7,6,5,4,2]=>[8,1,6,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[5,1,2,8,7,6,3,4]=>[8,2,3,7,6,5,4,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[4,1,5,8,7,6,2,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,3,6,8,7,4,5,1]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,3,7,8,6,4,5,1]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,1,4,8,7,2,5,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,1,8,4,7,3,5,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[3,1,4,5,6,8,2,7]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[2,7,1,8,4,5,6,3]=>[3,8,1,7,6,5,4,2]=>[6,1,8,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[6,1,2,7,4,5,8,3]=>[8,2,3,6,5,4,7,1]=>[1,7,6,3,4,5,2,8]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[2,7,1,3,8,5,6,4]=>[3,8,1,4,7,6,5,2]=>[6,1,8,5,2,3,4,7]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[2,6,7,8,4,5,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,5,8,3,4,1,6,7]=>[6,5,8,4,2,1,7,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[6,7,8,3,4,5,2,9,1]=>[9,7,6,5,4,3,2,8,1]=>[1,3,4,5,6,7,8,2,9]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]]
[5,6,2,7,4,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,6,7,3,2,5,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[6,2,8,1,3,4,7,5]=>[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,4,5,7,8,2,6,3]=>[1,8,6,7,5,3,4,2]=>[8,1,3,2,4,6,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[3,4,5,7,8,6,1,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,6,7,4,8,5,1,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,2,5,8,3,6,4,7]=>[1,2,7,8,5,6,3,4]=>[8,7,2,1,4,3,6,5]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]
[7,8,1,4,6,2,3,5]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,6,7,4,8,2,5,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,4,5,6,8,2,7,3]=>[1,8,6,4,7,3,5,2]=>[8,1,3,5,2,6,4,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[1,4,5,8,6,2,7,3]=>[1,8,6,7,5,3,4,2]=>[8,1,3,2,4,6,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[1,2,5,8,3,4,7,6]=>[1,2,6,8,5,3,7,4]=>[8,7,3,1,4,6,2,5]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]
[1,6,7,2,3,5,8,4]=>[1,8,6,4,5,3,7,2]=>[8,1,3,5,4,6,2,7]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[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]=>[8,7,2,3,4,5,6,1]=>[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]
[1,2,5,7,3,6,8,4]=>[1,2,8,6,5,4,7,3]=>[8,7,1,3,4,5,2,6]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]
[1,6,8,2,3,5,7,4]=>[1,8,7,4,5,6,3,2]=>[8,1,2,5,4,3,6,7]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[1,6,8,4,5,2,3,7]=>[1,7,8,6,5,4,2,3]=>[8,2,1,3,4,5,7,6]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[1,6,8,4,5,2,7,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,6,8,2,3,4,7,5]=>[1,8,7,4,5,6,3,2]=>[8,1,2,5,4,3,6,7]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[1,6,8,2,3,7,4,5]=>[1,8,7,4,5,6,3,2]=>[8,1,2,5,4,3,6,7]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[7,8,1,4,5,2,6,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[8,1,2,5,4,3,6,7]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[4,2,1,6,5,3,8,7]=>[6,3,2,5,4,1,8,7]=>[3,6,7,4,5,8,1,2]=>[[.,[[.,[.,.]],[.,[.,.]]]],[.,.]]
[8,2,4,3,1,6,5,7]=>[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[6,2,4,3,1,8,7,5]=>[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[4,2,6,3,5,1,8,7]=>[6,4,5,2,3,1,8,7]=>[3,5,4,7,6,8,1,2]=>[[.,[[.,.],[[.,.],[.,.]]]],[.,.]]
[4,6,2,1,5,8,7,3]=>[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[4,6,5,2,1,8,7,3]=>[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[2,1,6,4,3,8,7,5]=>[2,1,8,5,4,7,6,3]=>[7,8,1,4,5,2,3,6]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[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]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,6,4,8,5,7,3]=>[2,1,8,6,7,4,5,3]=>[7,8,1,3,2,5,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[4,6,5,2,8,3,7,1]=>[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[2,6,4,5,8,3,7,1]=>[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[6,4,2,8,3,5,7,1]=>[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[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]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[4,2,6,3,5,8,7,1]=>[8,4,5,2,3,7,6,1]=>[1,5,4,7,6,2,3,8]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[4,2,6,3,8,7,5,1]=>[8,4,7,2,6,5,3,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,2,4,3,8,5,7,1]=>[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[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]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[6,2,1,4,8,5,7,3]=>[8,3,2,6,7,4,5,1]=>[1,6,7,3,2,5,4,8]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]
[6,2,1,8,7,4,3,5]=>[8,3,2,7,6,5,4,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[6,2,1,8,4,3,7,5]=>[8,3,2,7,6,5,4,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[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]=>[7,8,2,1,3,4,6,5]=>[[[.,[.,.]],.],[.,[.,[[.,.],.]]]]
[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]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[2,1,6,8,4,3,7,5]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[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]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[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]=>[4,1,3,5,8,6,2,7]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]
[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]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,7,8,4,3,5,2,6]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,1,4,8,3,5,2,6]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,7,4,1,3,8,2,5]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[1,6,7,8,4,3,2,5]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,2,1,8,4,5,3,6]=>[8,3,2,7,6,5,4,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[6,2,7,1,8,4,3,5]=>[8,4,7,2,6,5,3,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[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]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,8,1,3,6,2,4,5]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,2,7,8,6,3,4,5]=>[1,2,8,7,6,5,4,3]=>[8,7,1,2,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[2,6,7,1,8,5,3,4]=>[4,8,7,1,6,5,3,2]=>[5,1,2,8,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[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]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[1,7,2,8,4,5,6,3]=>[1,8,3,7,6,5,4,2]=>[8,1,6,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[6,3,7,8,1,5,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,6,7,8,4,2,5,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,1,2,7,6,5,8,4]=>[3,2,1,8,6,5,7,4]=>[6,7,8,1,3,4,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[6,1,2,4,7,3,8,5]=>[8,2,3,6,5,4,7,1]=>[1,7,6,3,4,5,2,8]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[5,1,2,6,7,4,8,3]=>[8,2,3,6,5,4,7,1]=>[1,7,6,3,4,5,2,8]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[4,6,1,8,3,2,5,7]=>[6,7,3,8,5,1,2,4]=>[3,2,6,1,4,8,7,5]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]
[4,7,1,8,3,5,2,6]=>[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[4,1,7,8,6,2,3,5]=>[7,2,8,6,5,4,1,3]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[1,6,5,7,8,3,4,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,6,5,8,7,3,4,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,1,8,7,6,2,3,5]=>[7,2,8,6,5,4,1,3]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[4,8,1,7,3,5,2,6]=>[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[4,8,1,6,3,2,5,7]=>[6,8,3,7,5,1,4,2]=>[3,1,6,2,4,8,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[6,1,2,3,7,5,4,8]=>[7,2,3,4,6,5,1,8]=>[2,7,6,5,3,4,8,1]=>[[.,[[[[.,.],.],.],[.,[.,.]]]],.]
[6,8,1,5,3,7,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,5,8,3,4,7,6,2]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[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]=>[2,7,6,5,3,4,8,1]=>[[.,[[[[.,.],.],.],[.,[.,.]]]],.]
[7,1,8,4,6,3,2,5]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[3,8,1,2,4,5,7,6]=>[4,8,3,1,5,6,7,2]=>[5,1,6,8,4,3,2,7]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]
[3,7,1,8,6,4,2,5]=>[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[1,6,4,3,7,5,8,2]=>[1,8,6,4,5,3,7,2]=>[8,1,3,5,4,6,2,7]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[3,1,2,6,7,5,8,4]=>[3,2,1,8,6,5,7,4]=>[6,7,8,1,3,4,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[3,8,1,7,6,4,2,5]=>[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[7,6,2,4,3,1,5,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,7,6,5,3,2,4]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,7,2,5,3,6,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,1,2,3,5,7,4,8]=>[7,2,3,4,5,6,1,8]=>[2,7,6,5,4,3,8,1]=>[[.,[[[[[.,.],.],.],.],[.,.]]],.]
[5,1,2,3,7,6,4,8]=>[7,2,3,4,6,5,1,8]=>[2,7,6,5,3,4,8,1]=>[[.,[[[[.,.],.],.],[.,[.,.]]]],.]
[5,1,2,3,8,6,4,7]=>[7,2,3,4,8,6,1,5]=>[2,7,6,5,1,3,8,4]=>[[.,[[[.,.],.],.]],[.,[[.,.],.]]]
[1,5,6,3,4,7,8,2]=>[1,8,5,4,3,6,7,2]=>[8,1,4,5,6,3,2,7]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,4,5,2,3,8,6,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,2,3,7,4,5,1,6]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[4,6,2,3,1,5,8,7]=>[5,6,4,3,1,2,8,7]=>[4,3,5,6,8,7,1,2]=>[[[.,.],[.,[.,[[.,.],.]]]],[.,.]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,8,2,6,7,4,5,1]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,8,1,5,6,7,3,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,8,2,4,3,1,7,6]=>[6,8,5,4,3,1,7,2]=>[3,1,4,5,6,8,2,7]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[2,1,7,6,8,5,3,4]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[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]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[7,6,1,4,8,5,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,2,3,7,8,5,4,1]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,2,3,8,4,5,1,7]=>[7,6,3,8,5,2,1,4]=>[2,3,6,1,4,7,8,5]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[7,2,3,6,8,4,1,5]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[2,3,6,1,4,7,8,5]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[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]=>[2,1,5,6,4,3,8,7]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]
[6,8,2,3,1,4,5,7]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[3,7,8,2,1,4,6,5]=>[5,8,7,4,1,6,3,2]=>[4,1,2,5,8,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[6,3,2,4,1,8,7,5]=>[8,5,3,4,2,7,6,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[5,7,3,1,4,2,6,8]=>[6,7,5,4,3,1,2,8]=>[3,2,4,5,6,8,7,1]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[3,7,4,1,8,2,5,6]=>[6,8,4,3,7,1,5,2]=>[3,1,5,6,2,8,4,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[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]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[1,8,3,2,4,5,7,6]=>[1,8,4,3,5,6,7,2]=>[8,1,5,6,4,3,2,7]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]
[8,4,1,6,3,7,5,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[8,7,1,2,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[3,1,8,6,7,5,2,4]=>[7,2,8,6,5,4,1,3]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[1,4,8,6,5,7,2,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,6,5,4,8,2,3,7]=>[1,7,6,4,8,3,2,5]=>[8,2,3,5,1,6,7,4]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]
[5,1,6,8,3,4,2,7]=>[7,2,6,8,5,3,1,4]=>[2,7,3,1,4,6,8,5]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]
[5,2,1,8,7,4,3,6]=>[7,3,2,8,6,5,1,4]=>[2,6,7,1,3,4,8,5]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]
[5,2,6,3,8,1,4,7]=>[7,6,4,3,8,2,1,5]=>[2,3,5,6,1,7,8,4]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[5,2,8,3,4,6,1,7]=>[7,5,8,4,2,6,1,3]=>[2,4,1,5,7,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[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]=>[1,5,2,7,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,5,8,4,6,3,7,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,3,8,4,1,2,7,6]=>[6,5,8,4,2,1,7,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[1,8,3,6,5,2,7,4]=>[1,8,6,7,5,3,4,2]=>[8,1,3,2,4,6,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[1,8,2,4,7,6,5,3]=>[1,8,3,7,6,5,4,2]=>[8,1,6,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[3,8,2,5,1,7,6,4]=>[5,8,3,7,1,6,4,2]=>[4,1,6,2,8,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[4,3,8,2,5,1,6,7]=>[6,4,8,2,5,1,7,3]=>[3,5,1,7,4,8,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[8,2,4,3,5,1,7,6]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[8,2,1,4,6,5,7,3]=>[8,3,2,7,6,5,4,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[8,1,3,4,5,7,6,2]=>[8,2,7,4,5,6,3,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[4,1,8,5,2,7,6,3]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[4,8,5,1,3,6,2,7]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[3,6,1,5,7,2,8,4]=>[6,8,3,4,5,1,7,2]=>[3,1,6,5,4,8,2,7]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]
[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]=>[4,7,1,5,8,2,3,6]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[5,3,8,7,2,1,4,6]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[6,7,3,5,1,4,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,7,4,1,6,8,3,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,6,3,7,4,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,3,6,7,4,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,3,2,8,6,7,4,1]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[5,4,7,2,6,8,3,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,7,3,8,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,4,7,2,5,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,2,7,5,1,4,8,3]=>[8,5,6,4,2,3,7,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,6,8,4,7,3,5,1]=>[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[8,1,6,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[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]=>[8,1,2,5,4,3,6,7]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[1,8,2,5,3,6,7,4]=>[1,8,3,7,5,6,4,2]=>[8,1,6,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[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]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[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]=>[8,1,6,4,5,3,2,7]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]
[1,5,4,6,2,3,7,8]=>[1,6,5,4,3,2,7,8]=>[8,3,4,5,6,7,2,1]=>[[[[.,.],[.,[.,[.,[.,.]]]]],.],.]
[6,2,5,7,1,4,8,3]=>[8,5,6,4,2,3,7,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[6,5,4,3,8,1,7,2]=>[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[7,3,6,8,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,7,8,5,4,6,3,1]=>[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]=>[2,3,4,1,6,7,8,5]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[2,6,5,7,3,4,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,2,5,7,4,1,3,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,2,5,8,4,1,3,7]=>[7,6,5,8,3,2,1,4]=>[2,3,4,1,6,7,8,5]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[2,7,8,4,6,1,3,5]=>[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[6,1,2,8,3,7,4,5]=>[8,2,3,7,5,6,4,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[6,1,2,8,5,4,7,3]=>[8,2,3,7,6,5,4,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[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]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[1,6,2,7,5,8,4,3]=>[1,8,3,7,5,6,4,2]=>[8,1,6,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,3,2,7,8,5,6,4]=>[1,3,2,8,7,6,5,4]=>[8,6,7,1,2,3,4,5]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]
[1,6,2,4,8,7,3,5]=>[1,8,3,7,6,5,4,2]=>[8,1,6,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[6,5,2,1,8,7,3,4]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[6,2,5,3,8,4,7,1]=>[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[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]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[5,1,4,2,3,7,8,6]=>[5,2,4,3,1,8,7,6]=>[4,7,5,6,8,1,2,3]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]
[5,1,6,3,8,2,7,4]=>[8,2,6,4,7,3,5,1]=>[1,7,3,5,2,6,4,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[9,8,7,6,5,4,3,1,2,10]=>[9,8,7,6,5,4,3,2,1,10]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[8,7,6,5,4,2,1,3,9]=>[8,7,6,5,4,3,2,1,9]=>[2,3,4,5,6,7,8,9,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[8,7,6,5,4,1,3,2,9]=>[8,7,6,5,4,3,2,1,9]=>[2,3,4,5,6,7,8,9,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[1,9,8,7,6,5,3,2,4]=>[1,9,8,7,6,5,4,3,2]=>[9,1,2,3,4,5,6,7,8]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,8,7,6,2,5,4,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,9,8,7,6,5,2,4,3]=>[1,9,8,7,6,5,4,3,2]=>[9,1,2,3,4,5,6,7,8]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,10,9,8,7,6,5,4,2,3]=>[1,10,9,8,7,6,5,4,3,2]=>[10,1,2,3,4,5,6,7,8,9]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[2,1,9,8,7,6,5,4,3]=>[2,1,9,8,7,6,5,4,3]=>[8,9,1,2,3,4,5,6,7]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,2,9,8,7,6,5,4,3]=>[1,2,9,8,7,6,5,4,3]=>[9,8,1,2,3,4,5,6,7]=>[[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,2,1,9,8,7,6,5,4]=>[3,2,1,9,8,7,6,5,4]=>[7,8,9,1,2,3,4,5,6]=>[[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]]
[1,3,2,9,8,7,6,5,4]=>[1,3,2,9,8,7,6,5,4]=>[9,7,8,1,2,3,4,5,6]=>[[[.,.],[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[1,2,3,9,8,7,6,5,4]=>[1,2,3,9,8,7,6,5,4]=>[9,8,7,1,2,3,4,5,6]=>[[[[.,.],.],.],[.,[.,[.,[.,[.,.]]]]]]
[4,3,2,1,9,8,7,6,5]=>[4,3,2,1,9,8,7,6,5]=>[6,7,8,9,1,2,3,4,5]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]]
[1,4,3,2,9,8,7,6,5]=>[1,4,3,2,9,8,7,6,5]=>[9,6,7,8,1,2,3,4,5]=>[[[.,.],[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[1,2,4,3,9,8,7,6,5]=>[1,2,4,3,9,8,7,6,5]=>[9,8,6,7,1,2,3,4,5]=>[[[[.,.],.],[.,.]],[.,[.,[.,[.,.]]]]]
[1,2,3,4,9,8,7,6,5]=>[1,2,3,4,9,8,7,6,5]=>[9,8,7,6,1,2,3,4,5]=>[[[[[.,.],.],.],.],[.,[.,[.,[.,.]]]]]
[1,5,4,3,2,9,8,7,6]=>[1,5,4,3,2,9,8,7,6]=>[9,5,6,7,8,1,2,3,4]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[1,2,3,5,4,9,8,7,6]=>[1,2,3,5,4,9,8,7,6]=>[9,8,7,5,6,1,2,3,4]=>[[[[[.,.],.],.],[.,.]],[.,[.,[.,.]]]]
[1,2,3,4,5,9,8,7,6]=>[1,2,3,4,5,9,8,7,6]=>[9,8,7,6,5,1,2,3,4]=>[[[[[[.,.],.],.],.],.],[.,[.,[.,.]]]]
[2,1,4,3,6,5,9,8,7]=>[2,1,4,3,6,5,9,8,7]=>[8,9,6,7,4,5,1,2,3]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,[.,.]]]
[1,2,3,4,6,5,9,8,7]=>[1,2,3,4,6,5,9,8,7]=>[9,8,7,6,4,5,1,2,3]=>[[[[[[.,.],.],.],.],[.,.]],[.,[.,.]]]
[1,2,3,5,4,7,6,9,8]=>[1,2,3,5,4,7,6,9,8]=>[9,8,7,5,6,3,4,1,2]=>[[[[[[.,.],.],.],[.,.]],[.,.]],[.,.]]
[1,2,3,4,5,7,6,9,8]=>[1,2,3,4,5,7,6,9,8]=>[9,8,7,6,5,3,4,1,2]=>[[[[[[[.,.],.],.],.],.],[.,.]],[.,.]]
[1,2,10,9,8,7,6,5,4,3]=>[1,2,10,9,8,7,6,5,4,3]=>[10,9,1,2,3,4,5,6,7,8]=>[[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,2,1,10,9,8,7,6,5,4]=>[3,2,1,10,9,8,7,6,5,4]=>[8,9,10,1,2,3,4,5,6,7]=>[[.,[.,[.,.]]],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,2,3,10,9,8,7,6,5,4]=>[1,2,3,10,9,8,7,6,5,4]=>[10,9,8,1,2,3,4,5,6,7]=>[[[[.,.],.],.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,4,3,2,10,9,8,7,6,5]=>[1,4,3,2,10,9,8,7,6,5]=>[10,7,8,9,1,2,3,4,5,6]=>[[[.,.],[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]]
[1,2,3,4,10,9,8,7,6,5]=>[1,2,3,4,10,9,8,7,6,5]=>[10,9,8,7,1,2,3,4,5,6]=>[[[[[.,.],.],.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,5,4,3,2,10,9,8,7,6]=>[1,5,4,3,2,10,9,8,7,6]=>[10,6,7,8,9,1,2,3,4,5]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]]
[1,2,3,6,5,4,10,9,8,7]=>[1,2,3,6,5,4,10,9,8,7]=>[10,9,8,5,6,7,1,2,3,4]=>[[[[[.,.],.],.],[.,[.,.]]],[.,[.,[.,.]]]]
[1,2,3,4,5,6,10,9,8,7]=>[1,2,3,4,5,6,10,9,8,7]=>[10,9,8,7,6,5,1,2,3,4]=>[[[[[[[.,.],.],.],.],.],.],[.,[.,[.,.]]]]
[1,4,3,2,7,6,5,10,9,8]=>[1,4,3,2,7,6,5,10,9,8]=>[10,7,8,9,4,5,6,1,2,3]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],[.,[.,.]]]
[1,2,3,4,5,6,7,10,9,8]=>[1,2,3,4,5,6,7,10,9,8]=>[10,9,8,7,6,5,4,1,2,3]=>[[[[[[[[.,.],.],.],.],.],.],.],[.,[.,.]]]
[1,2,4,3,6,5,8,7,10,9]=>[1,2,4,3,6,5,8,7,10,9]=>[10,9,7,8,5,6,3,4,1,2]=>[[[[[[.,.],.],[.,.]],[.,.]],[.,.]],[.,.]]
[1,2,3,4,6,5,8,7,10,9]=>[1,2,3,4,6,5,8,7,10,9]=>[10,9,8,7,5,6,3,4,1,2]=>[[[[[[[.,.],.],.],.],[.,.]],[.,.]],[.,.]]
[1,2,3,4,5,6,8,7,10,9]=>[1,2,3,4,5,6,8,7,10,9]=>[10,9,8,7,6,5,3,4,1,2]=>[[[[[[[[.,.],.],.],.],.],.],[.,.]],[.,.]]
[4,7,3,1,5,6,2,8]=>[7,6,4,3,5,2,1,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[5,8,3,4,1,6,7,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[1,7,8,4,5,6,2,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,5,8,4,2,6,7,3]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,6,3,8,5,2,7,4]=>[1,8,6,7,5,3,4,2]=>[8,1,3,2,4,6,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[5,2,3,7,1,6,4,8]=>[7,5,3,6,2,4,1,8]=>[2,4,6,3,7,5,8,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[6,2,3,7,5,1,4,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[1,7,3,4,8,6,2,5]=>[1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[6,2,3,4,8,1,7,5]=>[8,6,3,4,7,2,5,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[8,7,3,2,1,6,5,4]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,8,4,3,1,7,6,2,5]=>[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]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,5,4,1,8,7,2,3,6]=>[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]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[2,4,8,5,3,7,1,6]=>[7,5,8,4,2,6,1,3]=>[2,4,1,5,7,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[2,4,1,8,5,3,7,6]=>[3,6,1,8,5,2,7,4]=>[6,3,8,1,4,7,2,5]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[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]=>[4,6,7,5,8,1,2,3]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]
[3,4,6,2,1,8,7,5]=>[5,4,8,2,1,7,6,3]=>[4,5,1,7,8,2,3,6]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[3,4,6,2,7,8,1,5]=>[7,4,8,2,5,6,1,3]=>[2,5,1,7,4,3,8,6]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[8,1,4,6,3,7,2,5]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,4,6,3,7,5,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,5,6,7,3,4,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,5,6,7,3,2,4]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,4,1,6,8,7,2,5]=>[7,3,2,8,6,5,1,4]=>[2,6,7,1,3,4,8,5]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]
[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]=>[7,8,6,1,2,3,4,5]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]
[8,1,3,2,6,7,5,4]=>[8,2,4,3,7,6,5,1]=>[1,7,5,6,2,3,4,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[2,3,8,6,7,1,5,4]=>[6,2,8,7,5,1,4,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[2,4,1,8,6,7,5,3]=>[3,8,1,7,6,5,4,2]=>[6,1,8,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[2,5,8,6,1,7,4,3]=>[5,8,7,6,1,4,3,2]=>[4,1,2,3,8,5,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[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]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,5,1,6,7,8,4,2]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[4,5,6,1,7,3,8,2]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[3,5,1,6,7,4,8,2]=>[8,6,3,4,5,2,7,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[8,1,5,6,7,4,2,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,5,6,7,4,3,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,5,1,6,7,4,2,8]=>[7,6,3,4,5,2,1,8]=>[2,3,6,5,4,7,8,1]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[4,5,6,1,7,3,2,8]=>[7,6,4,3,5,2,1,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,6,4,8,7,5,2,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,6,2,4,7,3,5]=>[1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[8,1,6,2,4,7,3,5]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,4,1,7,8,5,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,6,1,2,4,8,3,5]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[8,1,6,3,4,7,2,5]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,8,6,3,4,7,2,5]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,7,2,5,4,8,3,6]=>[1,8,3,7,5,6,4,2]=>[8,1,6,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[7,1,2,5,4,8,3,6]=>[8,2,3,7,5,6,4,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[2,7,1,5,4,8,3,6]=>[3,8,1,7,5,6,4,2]=>[6,1,8,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[2,8,6,1,4,7,3,5]=>[4,8,7,1,6,5,3,2]=>[5,1,2,8,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,2,7,5,4,8,3,6]=>[1,2,8,7,5,6,4,3]=>[8,7,1,2,4,3,5,6]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[3,2,7,5,4,8,1,6]=>[7,2,8,5,4,6,1,3]=>[2,7,1,4,5,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[2,3,7,5,4,8,1,6]=>[7,2,8,5,4,6,1,3]=>[2,7,1,4,5,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[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]=>[2,7,1,4,5,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[1,5,8,4,7,3,2,6]=>[1,7,8,6,5,4,2,3]=>[8,2,1,3,4,5,7,6]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[5,1,8,4,7,3,2,6]=>[7,2,8,6,5,4,1,3]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,8,5,4,7,3,2,6]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,7,3,5,4,8,2,6]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,1,3,2,7,8,5,6]=>[4,2,3,1,8,7,6,5]=>[5,7,6,8,1,2,3,4]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]
[1,4,3,2,7,8,5,6]=>[1,4,3,2,8,7,6,5]=>[8,5,6,7,1,2,3,4]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]
[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]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[5,7,3,4,6,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,2,5,4,7,3,1,6]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,2,1,4,7,8,5,6]=>[3,2,1,4,8,7,6,5]=>[6,7,8,5,1,2,3,4]=>[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]
[8,1,7,6,4,3,5,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,4,2,5,1,6,3,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,3,6,5,2,1,4,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[3,4,6,1,7,8,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[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]=>[2,4,5,6,7,1,8,3]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[6,3,5,2,1,4,7,8]=>[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[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]=>[4,7,1,2,8,3,5,6]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[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]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[2,5,7,6,3,1,4,8]=>[6,7,5,4,3,1,2,8]=>[3,2,4,5,6,8,7,1]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[2,8,7,6,3,1,5,4]=>[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[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]=>[5,1,2,8,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[8,4,2,5,1,3,7,6]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[2,3,6,8,1,4,7,5]=>[5,2,8,7,1,6,4,3]=>[4,7,1,2,8,3,5,6]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[2,7,8,6,3,1,4,5]=>[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[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]=>[5,7,1,8,2,3,4,6]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[2,8,6,3,1,4,5,7]=>[5,8,7,4,1,6,3,2]=>[4,1,2,5,8,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[8,3,5,2,1,4,6,7]=>[8,5,6,4,2,3,7,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[2,4,8,1,3,7,5,6]=>[4,5,8,1,2,7,6,3]=>[5,4,1,8,7,2,3,6]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]
[2,5,8,1,7,3,6,4]=>[4,8,7,1,6,5,3,2]=>[5,1,2,8,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[2,8,1,5,7,3,6,4]=>[3,8,1,7,6,5,4,2]=>[6,1,8,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[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]=>[5,1,2,8,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[2,7,1,5,8,3,4,6]=>[3,8,1,7,6,5,4,2]=>[6,1,8,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[2,7,1,6,3,8,4,5]=>[3,8,1,7,5,6,4,2]=>[6,1,8,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[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]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[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]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[5,1,8,7,6,2,3,4]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,5,1,7,6,2,3,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,5,1,6,2,7,3,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,6,1,8,4,7,5,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,6,1,8,7,5,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,4,6,1,7,5,2,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,5,1,8,7,2,3,6]=>[7,6,3,8,5,2,1,4]=>[2,3,6,1,4,7,8,5]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[3,4,8,7,1,2,5,6]=>[6,5,8,7,2,1,4,3]=>[3,4,1,2,7,8,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,5,1,2,7,3,8,4]=>[8,6,3,4,5,2,7,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[6,5,1,8,2,7,3,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[1,8,4,2,3,6,7,5]=>[1,8,5,4,3,7,6,2]=>[8,1,4,5,6,2,3,7]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[4,1,7,2,3,6,8,5]=>[5,2,8,4,1,6,7,3]=>[4,7,1,5,8,3,2,6]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[4,5,2,3,1,7,8,6]=>[5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[5,6,2,7,1,4,8,3]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,2,3,8,1,7,4,5]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[4,6,2,7,5,1,3,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[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]=>[3,6,7,1,2,8,4,5]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]
[5,3,2,7,4,8,1,6]=>[7,5,3,8,2,6,1,4]=>[2,4,6,1,7,3,8,5]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[5,1,2,7,6,8,4,3]=>[8,2,3,7,5,6,4,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[5,3,6,4,2,8,7,1]=>[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[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]=>[2,7,1,5,4,3,8,6]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[3,1,8,4,7,2,5,6]=>[6,2,8,4,7,1,5,3]=>[3,7,1,5,2,8,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[2,6,4,1,5,3,8,7]=>[4,6,5,1,3,2,8,7]=>[5,3,4,8,6,7,1,2]=>[[[.,.],[.,[[.,.],[.,.]]]],[.,.]]
[2,5,4,1,7,6,8,3]=>[4,8,3,1,6,5,7,2]=>[5,1,6,8,3,4,2,7]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]
[4,7,5,2,1,6,3,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,2,3,7,8,1,6,5]=>[6,3,2,8,7,1,5,4]=>[3,6,7,1,2,8,4,5]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]
[4,2,7,1,6,3,5,8]=>[6,4,7,2,5,1,3,8]=>[3,5,2,7,4,8,6,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[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]=>[2,1,5,6,4,3,8,7]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]
[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]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[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]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[5,2,1,7,3,4,8,6]=>[6,3,2,8,5,1,7,4]=>[3,6,7,1,4,8,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[6,4,3,1,7,5,8,2]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[5,3,1,7,2,6,8,4]=>[8,5,3,6,2,4,7,1]=>[1,4,6,3,7,5,2,8]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[3,2,1,7,6,4,8,5]=>[3,2,1,8,6,5,7,4]=>[6,7,8,1,3,4,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[4,2,1,6,5,8,3,7]=>[7,3,2,5,4,8,1,6]=>[2,6,7,4,5,1,8,3]=>[[.,[[.,[.,.]],[.,.]]],[[.,.],.]]
[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]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,3,2,7,6,1,4,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[5,3,2,8,6,1,4,7]=>[7,6,3,8,5,2,1,4]=>[2,3,6,1,4,7,8,5]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[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]=>[7,8,2,1,4,3,6,5]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]
[4,3,2,5,7,1,6,8]=>[6,3,2,4,7,1,5,8]=>[3,6,7,5,2,8,4,1]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]
[4,3,1,6,2,7,5,8]=>[5,3,2,7,1,6,4,8]=>[4,6,7,2,8,3,5,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[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]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[5,4,2,1,6,7,3,8]=>[7,4,3,2,5,6,1,8]=>[2,5,6,7,4,3,8,1]=>[[.,[[[.,[.,[.,.]]],.],[.,.]]],.]
[5,3,2,1,6,7,4,8]=>[7,4,3,2,5,6,1,8]=>[2,5,6,7,4,3,8,1]=>[[.,[[[.,[.,[.,.]]],.],[.,.]]],.]
[5,3,2,6,8,1,7,4]=>[8,6,3,4,7,2,5,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[3,2,1,4,8,7,5,6]=>[3,2,1,4,8,7,6,5]=>[6,7,8,5,1,2,3,4]=>[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]
[3,2,1,4,6,8,5,7]=>[3,2,1,4,7,8,5,6]=>[6,7,8,5,2,1,4,3]=>[[[[.,[.,[.,.]]],.],.],[[.,.],.]]
[4,3,2,6,1,7,8,5]=>[5,3,2,8,1,6,7,4]=>[4,6,7,1,8,3,2,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[5,3,2,1,6,7,8,4]=>[8,4,3,2,5,6,7,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,[.,[.,.]]],.],.],[.,.]]]
[8,6,1,4,5,7,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,6,5,7,2,3,4]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,4,2,7,3,6,1,8]=>[7,5,3,6,2,4,1,8]=>[2,4,6,3,7,5,8,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[5,4,2,8,3,6,1,7]=>[7,5,3,8,2,6,1,4]=>[2,4,6,1,7,3,8,5]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[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]=>[2,4,1,5,7,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[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]=>[3,4,6,1,7,8,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[6,4,3,7,1,2,8,5]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,4,3,8,1,2,7,5]=>[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[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]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[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]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[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]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,4,1,6,3,8,7,2]=>[8,5,3,4,2,7,6,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[6,5,1,7,8,2,3,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,3,1,7,8,4,2,5]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,4,1,7,3,8,2,6]=>[7,5,3,8,2,6,1,4]=>[2,4,6,1,7,3,8,5]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[6,3,2,7,8,4,1,5]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,1,5,4,3,2,8,7]=>[6,2,5,4,3,1,8,7]=>[3,7,4,5,6,8,1,2]=>[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,4,1,5,7,6,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[2,7,4,5,6,1,8,3]=>[[.,[[.,.],[.,[.,.]]]],[[.,.],.]]
[8,1,3,7,4,2,5,6]=>[8,2,6,7,5,3,4,1]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[4,3,8,7,5,2,1,6]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[6,7,1,8,5,3,4,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,4,6,1,3,2,8,5]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,4,7,6,3,1,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,4,7,5,6,1,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[2,4,7,5,6,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,5,6,7,1,4,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,7,2,1,6,3,8,4]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[4,7,2,5,6,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[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]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[5,8,4,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[1,8,5,6,2,4,7,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,1,5,6,2,4,7,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[3,5,7,6,2,8,1,4]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[4,5,6,1,2,8,7,3]=>[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,1,2,6,8,4,7,5]=>[3,2,1,8,7,6,5,4]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[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]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[6,3,8,4,2,1,7,5]=>[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]=>[4,1,2,5,8,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[3,5,8,1,2,6,7,4]=>[5,8,7,4,1,6,3,2]=>[4,1,2,5,8,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[3,2,8,1,5,6,7,4]=>[4,2,8,1,7,6,5,3]=>[5,7,1,8,2,3,4,6]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[1,5,8,3,2,6,7,4]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,3,8,6,2,4,7,5]=>[1,5,8,7,2,6,4,3]=>[8,4,1,2,7,3,5,6]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[3,2,7,8,4,6,1,5]=>[7,2,8,6,5,4,1,3]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[5,1,8,3,4,6,7,2]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[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]=>[6,1,8,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[8,3,4,2,1,6,5,7]=>[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[6,4,7,2,5,8,1,3]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[2,4,6,1,7,3,8,5]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[3,5,8,1,2,6,4,7]=>[5,7,8,4,1,6,2,3]=>[4,2,1,5,8,3,7,6]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]
[8,6,1,3,5,2,4,7]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,7,4,3,6,1,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,2,1,7,8,4,5,3]=>[8,3,2,7,6,5,4,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[7,6,3,1,5,4,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[1,4,7,5,6,8,2,3]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,4,7,6,5,8,2,3]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[3,7,5,2,4,6,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,7,4,8,1,2,6,5]=>[6,8,5,7,3,1,4,2]=>[3,1,4,2,6,8,5,7]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[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]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[5,7,3,1,6,8,4,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,8,1,2,3,5,7,6]=>[5,8,3,4,1,6,7,2]=>[4,1,6,5,8,3,2,7]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,7,2,3,6,8,1,4]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,3,5,7,1,4,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,7,2,5,1,8,4,3]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,8,2,1,6,7,4,3]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[3,6,1,2,5,8,4,7]=>[4,7,3,1,5,8,2,6]=>[5,2,6,8,4,1,7,3]=>[[[.,.],[[.,[.,.]],.]],[[.,.],.]]
[1,4,5,8,2,3,7,6]=>[1,6,5,8,3,2,7,4]=>[8,3,4,1,6,7,2,5]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[1,2,6,4,5,8,3,7]=>[1,2,7,5,4,8,3,6]=>[8,7,2,4,5,1,6,3]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]
[3,6,1,5,8,2,4,7]=>[6,7,3,4,8,1,2,5]=>[3,2,6,5,1,8,7,4]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]
[2,6,5,1,4,8,3,7]=>[4,7,5,1,3,8,2,6]=>[5,2,4,8,6,1,7,3]=>[[[.,.],[.,[[.,.],.]]],[[.,.],.]]
[5,2,6,1,4,8,3,7]=>[7,4,5,2,3,8,1,6]=>[2,5,4,7,6,1,8,3]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]
[2,5,1,8,4,7,3,6]=>[3,7,1,8,5,6,2,4]=>[6,2,8,1,4,3,7,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[2,7,1,4,3,6,8,5]=>[3,8,1,5,4,6,7,2]=>[6,1,8,4,5,3,2,7]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]
[1,3,7,5,8,2,4,6]=>[1,6,8,7,5,2,4,3]=>[8,3,1,2,4,7,5,6]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]
[8,2,1,5,7,3,4,6]=>[8,3,2,7,6,5,4,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[2,5,4,8,1,3,7,6]=>[5,6,3,8,1,2,7,4]=>[4,3,6,1,8,7,2,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[2,4,1,3,8,6,7,5]=>[3,4,1,2,8,7,6,5]=>[6,5,8,7,1,2,3,4]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]
[8,4,3,7,1,2,6,5]=>[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[1,7,3,5,8,2,6,4]=>[1,8,6,7,5,3,4,2]=>[8,1,3,2,4,6,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[1,8,4,2,6,7,3,5]=>[1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[3,1,6,8,7,2,4,5]=>[6,2,8,7,5,1,4,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[7,2,1,6,8,3,4,5]=>[8,3,2,7,6,5,4,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[3,1,7,6,8,2,4,5]=>[6,2,8,7,5,1,4,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[4,1,7,2,6,8,3,5]=>[7,2,8,4,5,6,1,3]=>[2,7,1,5,4,3,8,6]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[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]=>[6,1,8,3,4,5,2,7]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[7,1,2,5,3,6,8,4]=>[8,2,3,6,5,4,7,1]=>[1,7,6,3,4,5,2,8]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[5,4,1,2,7,8,3,6]=>[7,4,3,2,8,6,1,5]=>[2,5,6,7,1,3,8,4]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]
[7,3,1,2,4,6,8,5]=>[8,4,3,2,5,6,7,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,[.,[.,.]]],.],.],[.,.]]]
[1,8,3,4,7,2,5,6]=>[1,8,6,4,7,3,5,2]=>[8,1,3,5,2,6,4,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[3,5,8,1,2,7,4,6]=>[5,7,8,4,1,6,2,3]=>[4,2,1,5,8,3,7,6]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]
[3,6,8,1,2,4,7,5]=>[5,8,7,4,1,6,3,2]=>[4,1,2,5,8,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[4,1,3,8,7,2,6,5]=>[6,2,3,8,7,1,5,4]=>[3,7,6,1,2,8,4,5]=>[[.,[[.,.],.]],[.,[[.,.],[.,.]]]]
[1,3,7,4,8,2,6,5]=>[1,6,8,4,7,2,5,3]=>[8,3,1,5,2,7,4,6]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[1,4,6,8,2,3,7,5]=>[1,6,8,7,5,2,4,3]=>[8,3,1,2,4,7,5,6]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]
[2,6,8,1,7,3,4,5]=>[4,8,7,1,6,5,3,2]=>[5,1,2,8,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[6,1,5,8,2,3,7,4]=>[8,2,6,7,5,3,4,1]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[3,1,7,2,8,5,6,4]=>[4,2,8,1,7,6,5,3]=>[5,7,1,8,2,3,4,6]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[8,4,1,7,3,6,2,5]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,7,2,8,6,1,5,4]=>[6,8,3,7,5,1,4,2]=>[3,1,6,2,4,8,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[5,1,7,8,4,2,6,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,1,8,7,4,2,6,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,1,7,4,8,3,6,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,1,8,7,5,3,6,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,6,1,7,2,5,4,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[2,3,5,6,1,7,8,4]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[2,8,6,7,5,3,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,6,5,8,2,4,7,1]=>[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[5,2,1,8,7,3,4,6]=>[7,3,2,8,6,5,1,4]=>[2,6,7,1,3,4,8,5]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]
[6,5,2,7,4,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,6,5,2,7,3,8,1]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[6,2,7,1,8,3,5,4]=>[8,4,7,2,6,5,3,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[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]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[7,1,6,2,3,8,5,4]=>[8,2,7,4,5,6,3,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[4,8,1,3,2,7,5,6]=>[5,8,3,4,1,7,6,2]=>[4,1,6,5,8,2,3,7]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[3,8,1,4,7,5,2,6]=>[7,8,3,4,6,5,1,2]=>[2,1,6,5,3,4,8,7]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]
[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]=>[2,7,3,1,4,6,8,5]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,3,2,4,6,1,7]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[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]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,7,6,5,3,8,4]=>[2,1,8,6,5,4,7,3]=>[7,8,1,3,4,5,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[7,2,5,4,6,1,8,3]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,7,6,1,2,5,8,3]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[2,4,1,7,6,8,5,3]=>[3,8,1,7,5,6,4,2]=>[6,1,8,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[3,4,1,7,8,5,6,2]=>[8,3,2,7,6,5,4,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[7,5,4,3,1,8,6,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,1,3,6,7,5,8,2]=>[8,2,3,6,5,4,7,1]=>[1,7,6,3,4,5,2,8]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[1,7,5,3,8,2,4,6]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,7,2,4,5,8,3,6]=>[1,8,3,7,5,6,4,2]=>[8,1,6,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,7,4,5,8,3,2,6]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,6,4,7,8,3,5,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,2,6,4,7,8,3,5]=>[1,2,8,7,5,6,4,3]=>[8,7,1,2,4,3,5,6]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[2,7,5,3,1,8,4,6]=>[5,8,7,4,1,6,3,2]=>[4,1,2,5,8,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[6,1,4,7,8,3,5,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,6,4,7,8,1,5,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,3,6,7,1,8,2,5]=>[7,5,8,4,2,6,1,3]=>[2,4,1,5,7,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[2,3,6,4,1,7,8,5]=>[5,2,8,4,1,6,7,3]=>[4,7,1,5,8,3,2,6]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[3,7,4,5,2,1,8,6]=>[6,8,5,4,3,1,7,2]=>[3,1,4,5,6,8,2,7]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[1,3,6,4,7,2,8,5]=>[1,6,8,4,5,2,7,3]=>[8,3,1,5,4,7,2,6]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]
[3,6,4,7,2,8,5,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,1,3,4,2,7,8,6]=>[5,2,4,3,1,8,7,6]=>[4,7,5,6,8,1,2,3]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]
[5,4,2,1,3,7,8,6]=>[5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[6,1,7,3,8,2,5,4]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,6,7,3,8,2,5,4]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,1,4,7,8,5,2,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,3,2,1,7,8,5,4]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[6,2,4,7,8,1,5,3]=>[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]=>[4,1,2,5,8,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[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]=>[3,1,4,2,6,8,5,7]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[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]=>[4,7,1,2,8,3,5,6]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[4,3,7,8,1,6,2,5]=>[7,5,8,6,2,4,1,3]=>[2,4,1,3,7,5,8,6]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[3,5,8,7,4,1,2,6]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[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]=>[3,1,6,5,2,8,4,7]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,7,1,8,4,6,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[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]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[2,4,7,8,1,6,3,5]=>[5,7,8,6,1,4,2,3]=>[4,2,1,3,8,5,7,6]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]]
[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]=>[4,1,6,5,8,3,2,7]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]
[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]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[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]=>[4,1,2,3,8,5,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[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]=>[3,1,4,2,6,8,5,7]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[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]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,5,1,3,8,6,7,4]=>[3,8,1,4,7,6,5,2]=>[6,1,8,5,2,3,4,7]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[4,5,1,2,8,6,7,3]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[8,3,5,4,1,6,7,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,4,3,1,2,8,5,6]=>[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,5,7,6,4,1,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,7,5,2,1,3,8,6]=>[6,8,5,4,3,1,7,2]=>[3,1,4,5,6,8,2,7]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[5,7,2,3,6,4,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[8,1,6,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[4,7,3,2,1,8,5,6]=>[5,8,4,3,1,7,6,2]=>[4,1,5,6,8,2,3,7]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[3,1,7,2,5,8,4,6]=>[4,2,8,1,7,6,5,3]=>[5,7,1,8,2,3,4,6]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[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]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[5,8,6,4,2,3,1,7]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[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]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[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]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,3,2,6,8,1,7,5]=>[6,3,2,8,7,1,5,4]=>[3,6,7,1,2,8,4,5]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]
[7,1,5,6,3,8,2,4]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[5,1,2,4,7,8,3,6]=>[7,2,3,4,8,6,1,5]=>[2,7,6,5,1,3,8,4]=>[[.,[[[.,.],.],.]],[.,[[.,.],.]]]
[3,5,4,2,8,1,6,7]=>[6,4,3,2,8,1,7,5]=>[3,5,6,7,1,8,2,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[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]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,5,8,3,7,4,2,6]=>[1,7,8,6,5,4,2,3]=>[8,2,1,3,4,5,7,6]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[3,8,2,7,1,5,6,4]=>[5,8,3,7,1,6,4,2]=>[4,1,6,2,8,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[7,8,2,4,5,1,6,3]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]
[2,1,7,8,4,6,5,3]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,7,4,3,5,8,6]=>[2,1,8,5,4,6,7,3]=>[7,8,1,4,5,3,2,6]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[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]=>[1,5,3,7,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[6,1,8,2,3,5,4,7]=>[7,2,8,4,5,6,1,3]=>[2,7,1,5,4,3,8,6]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[7,2,4,1,6,3,8,5]=>[8,4,6,2,5,3,7,1]=>[1,5,3,7,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[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]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[4,7,1,8,5,2,6,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,3,2,4,7,8,6,1]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[5,3,4,2,8,7,1,6]=>[7,4,3,2,8,6,1,5]=>[2,5,6,7,1,3,8,4]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[3,7,4,5,6,8,1,2]=>[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]
[5,1,8,7,4,6,2,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[6,2,3,1,4,7,8,5]=>[8,4,3,2,5,6,7,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,[.,[.,.]]],.],.],[.,.]]]
[6,2,1,4,8,7,5,3]=>[8,3,2,7,6,5,4,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[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]=>[3,6,7,5,4,8,1,2]=>[[.,[[[.,[.,.]],.],[.,.]]],[.,.]]
[7,1,8,3,5,4,6,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,1,2,4,8,5,6,3]=>[8,2,3,7,6,5,4,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[7,2,1,3,4,5,8,6]=>[8,3,2,4,5,6,7,1]=>[1,6,7,5,4,3,2,8]=>[.,[[[[[.,[.,.]],.],.],.],[.,.]]]
[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]=>[3,7,4,5,6,8,1,2]=>[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,3,8,7,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[9,1,8,7,6,5,4,3,2]=>[9,2,8,7,6,5,4,3,1]=>[1,8,2,3,4,5,6,7,9]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]
[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]=>[1,8,2,3,4,5,6,7,9]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,1,9,8,7,5,4,3,2]=>[9,2,8,7,6,5,4,3,1]=>[1,8,2,3,4,5,6,7,9]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]
[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]=>[1,8,2,3,4,5,6,7,9]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,1,9,8,7,6,5,3,2]=>[9,2,8,7,6,5,4,3,1]=>[1,8,2,3,4,5,6,7,9]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,1,9,8,7,6,5,4,2]=>[9,2,8,7,6,5,4,3,1]=>[1,8,2,3,4,5,6,7,9]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]
[10,1,9,8,7,6,5,4,3,2]=>[10,2,9,8,7,6,5,4,3,1]=>[1,9,2,3,4,5,6,7,8,10]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[7,6,1,8,5,4,3,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,1,10,9,7,6,5,4,3,2]=>[10,2,9,8,7,6,5,4,3,1]=>[1,9,2,3,4,5,6,7,8,10]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[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]=>[1,9,2,3,4,5,6,7,8,10]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[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]=>[1,9,2,3,4,5,6,7,8,10]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[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]=>[1,9,2,3,4,5,6,7,8,10]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[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]=>[1,9,2,3,4,5,6,7,8,10]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[3,2,9,8,7,6,5,4,1]=>[9,2,8,7,6,5,4,3,1]=>[1,8,2,3,4,5,6,7,9]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,1,10,9,8,7,6,5,4,2]=>[10,2,9,8,7,6,5,4,3,1]=>[1,9,2,3,4,5,6,7,8,10]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[1,8,3,5,6,2,4,7]=>[1,8,6,7,5,3,4,2]=>[8,1,3,2,4,6,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[1,4,8,5,6,2,3,7]=>[1,7,8,6,5,4,2,3]=>[8,2,1,3,4,5,7,6]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[1,2,8,5,3,7,4,6]=>[1,2,8,7,5,6,4,3]=>[8,7,1,2,4,3,5,6]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[6,1,4,8,2,3,5,7]=>[7,2,6,8,5,3,1,4]=>[2,7,3,1,4,6,8,5]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]
[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]=>[8,1,6,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[5,7,4,1,2,3,8,6]=>[6,8,5,4,3,1,7,2]=>[3,1,4,5,6,8,2,7]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[1,7,4,2,5,3,8,6]=>[1,8,6,4,5,3,7,2]=>[8,1,3,5,4,6,2,7]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[6,7,4,2,1,3,8,5]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,2,5,3,4,1,6,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[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]=>[3,2,4,5,6,8,7,1]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[7,1,3,2,8,4,5,6]=>[8,2,4,3,7,6,5,1]=>[1,7,5,6,2,3,4,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[2,1,7,4,8,3,5,6]=>[2,1,8,6,7,4,5,3]=>[7,8,1,3,2,5,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[5,2,8,6,1,3,4,7]=>[7,5,8,6,2,4,1,3]=>[2,4,1,3,7,5,8,6]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[2,8,3,1,4,5,6,7]=>[4,8,3,1,5,6,7,2]=>[5,1,6,8,4,3,2,7]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]
[7,4,8,2,3,1,5,6]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[6,5,2,4,7,1,3,8]=>[7,6,4,3,5,2,1,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[6,5,7,4,1,8,2,3]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,6,4,5,1,8,2,3]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[2,3,5,6,1,7,8,4]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[7,4,1,2,8,3,5,6]=>[8,6,3,4,7,2,5,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[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]=>[2,3,5,6,1,7,8,4]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[4,7,3,1,8,2,5,6]=>[6,8,4,3,7,1,5,2]=>[3,1,5,6,2,8,4,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[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]=>[6,1,8,3,2,5,4,7]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[3,1,8,5,4,7,6,2]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[4,1,5,8,3,7,6,2]=>[8,2,5,7,3,6,4,1]=>[1,7,4,2,6,3,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[4,1,5,3,8,7,6,2]=>[8,2,4,3,7,6,5,1]=>[1,7,5,6,2,3,4,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,6,7,2,3,1,8,4]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,6,7,2,1,3,8,4]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,6,1,7,8,2,4,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,1,6,7,8,3,4,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,1,6,8,7,3,5,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,1,8,6,7,5,4,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,1,6,8,7,5,3,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,1,6,7,4,8,3,2]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[5,6,1,7,8,4,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,6,7,1,3,2,8,4]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,6,7,3,1,2,8,4]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,4,8,6,3,2,5,7]=>[1,6,8,7,5,2,4,3]=>[8,3,1,2,4,7,5,6]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]
[7,6,3,1,5,8,4,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,4,2,5,7,3,1,8]=>[7,6,4,3,5,2,1,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[4,2,5,7,6,3,1,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[7,4,5,6,1,8,3,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,1,5,8,6,3,2,7]=>[7,2,6,8,5,3,1,4]=>[2,7,3,1,4,6,8,5]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]
[3,2,7,6,1,8,5,4]=>[5,2,8,7,1,6,4,3]=>[4,7,1,2,8,3,5,6]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[4,7,5,1,6,8,2,3]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[1,4,2,3,6,8,7,5]=>[1,4,3,2,8,7,6,5]=>[8,5,6,7,1,2,3,4]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]
[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]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[8,4,6,1,3,5,2,7]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,2,4,3,7,8,1,6]=>[7,4,3,2,8,6,1,5]=>[2,5,6,7,1,3,8,4]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]
[8,1,6,7,2,5,3,4]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,1,7,6,5,8,2,4]=>[7,2,8,5,4,6,1,3]=>[2,7,1,4,5,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[1,2,7,5,6,8,3,4]=>[1,2,8,7,5,6,4,3]=>[8,7,1,2,4,3,5,6]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[6,1,4,7,2,8,3,5]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[3,2,1,7,6,8,4,5]=>[3,2,1,8,7,6,5,4]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[3,2,8,6,4,7,1,5]=>[7,2,8,6,5,4,1,3]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,2,5,3,6,7,1,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,7,5,3,1,8,6,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,5,3,6,8,1,7,2]=>[8,6,3,4,7,2,5,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[3,5,2,6,1,8,7,4]=>[5,8,3,4,1,7,6,2]=>[4,1,6,5,8,2,3,7]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[1,6,3,5,7,2,8,4]=>[1,8,6,4,5,3,7,2]=>[8,1,3,5,4,6,2,7]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[1,5,4,6,7,8,2,3]=>[1,8,7,4,5,6,3,2]=>[8,1,2,5,4,3,6,7]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,8,4,3,1,2,6,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,6,4,5,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[5,7,4,1,3,8,6,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,5,4,2,3,8,1,6]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,2,6,7,3,1,4,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[2,4,3,8,6,1,5,7]=>[6,3,2,8,7,1,5,4]=>[3,6,7,1,2,8,4,5]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]
[7,8,1,3,5,6,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,7,8,3,5,6,2,4]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,1,7,8,3,4,6,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,5,7,8,3,4,6,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,7,1,5,8,6,2,4]=>[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[1,3,7,8,2,5,6,4]=>[1,5,8,7,2,6,4,3]=>[8,4,1,2,7,3,5,6]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[3,1,7,8,5,2,6,4]=>[6,2,8,7,5,1,4,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[1,3,7,5,8,2,6,4]=>[1,6,8,7,5,2,4,3]=>[8,3,1,2,4,7,5,6]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]
[3,1,7,5,8,2,6,4]=>[6,2,8,7,5,1,4,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[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]=>[2,7,3,1,4,6,8,5]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]
[3,6,2,1,4,5,8,7]=>[4,6,3,1,5,2,8,7]=>[5,3,6,8,4,7,1,2]=>[[[.,.],[[.,[.,.]],[.,.]]],[.,.]]
[4,6,2,5,1,3,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[6,4,2,5,1,3,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[8,6,1,7,3,2,4,5]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,5,8,1,7,3,4,6]=>[4,7,8,1,6,5,2,3]=>[5,2,1,8,3,4,7,6]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]
[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]=>[2,5,1,7,3,4,8,6]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[4,2,3,8,1,5,6,7]=>[5,3,2,8,1,6,7,4]=>[4,6,7,1,8,3,2,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[2,1,5,8,4,3,6,7]=>[2,1,6,8,5,3,7,4]=>[7,8,3,1,4,6,2,5]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]
[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]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[5,1,8,4,6,2,3,7]=>[7,2,8,6,5,4,1,3]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[2,4,3,8,1,5,6,7]=>[5,3,2,8,1,6,7,4]=>[4,6,7,1,8,3,2,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[3,1,8,4,2,5,6,7]=>[5,2,8,4,1,6,7,3]=>[4,7,1,5,8,3,2,6]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[2,3,8,4,1,5,6,7]=>[5,2,8,4,1,6,7,3]=>[4,7,1,5,8,3,2,6]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[3,4,2,8,1,5,6,7]=>[5,3,2,8,1,6,7,4]=>[4,6,7,1,8,3,2,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[2,1,4,8,5,3,6,7]=>[2,1,6,8,5,3,7,4]=>[7,8,3,1,4,6,2,5]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]
[3,2,8,4,1,5,6,7]=>[5,2,8,4,1,6,7,3]=>[4,7,1,5,8,3,2,6]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[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]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[5,6,4,3,2,8,1,7]=>[7,5,4,3,2,8,1,6]=>[2,4,5,6,7,1,8,3]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[2,6,7,5,3,8,4,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[7,8,1,3,4,5,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[3,8,4,2,1,6,7,5]=>[5,8,4,3,1,7,6,2]=>[4,1,5,6,8,2,3,7]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,2,3,4,8,1,5,7]=>[7,6,3,4,8,2,1,5]=>[2,3,6,5,1,7,8,4]=>[[.,[.,[[.,.],.]]],[[.,[.,.]],.]]
[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]=>[1,5,2,7,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[2,5,7,6,1,4,8,3]=>[5,8,6,4,1,3,7,2]=>[4,1,3,5,8,6,2,7]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]
[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]=>[4,1,3,5,8,6,2,7]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]
[6,3,1,4,8,2,5,7]=>[7,6,3,4,8,2,1,5]=>[2,3,6,5,1,7,8,4]=>[[.,[.,[[.,.],.]]],[[.,[.,.]],.]]
[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]=>[8,2,6,4,5,1,7,3]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]
[8,1,3,4,7,2,6,5]=>[8,2,6,4,7,3,5,1]=>[1,7,3,5,2,6,4,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[5,1,7,3,4,8,2,6]=>[7,2,8,5,4,6,1,3]=>[2,7,1,4,5,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,8,3,4,7,6,2,5]=>[1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[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]=>[3,1,6,2,4,8,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[4,8,1,6,7,2,5,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,1,3,8,4,6,5,7]=>[2,1,3,8,5,7,6,4]=>[7,8,6,1,4,2,3,5]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]
[8,2,1,7,4,3,6,5]=>[8,3,2,7,6,5,4,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[1,3,2,8,5,4,6,7]=>[1,3,2,8,6,5,7,4]=>[8,6,7,1,3,4,2,5]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,1,8,7,5,6,2,4]=>[7,2,8,6,5,4,1,3]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[4,1,8,6,7,5,2,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,1,7,8,6,4,2,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,7,1,8,5,4,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,2,4,8,1,5,3,7]=>[7,5,6,8,2,3,1,4]=>[2,4,3,1,7,6,8,5]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]
[1,4,8,2,6,3,7,5]=>[1,6,8,4,7,2,5,3]=>[8,3,1,5,2,7,4,6]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[4,2,6,8,1,5,3,7]=>[7,5,6,8,2,3,1,4]=>[2,4,3,1,7,6,8,5]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,2,1,8,4,5,3,7]=>[7,3,2,8,6,5,1,4]=>[2,6,7,1,3,4,8,5]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]
[1,2,7,8,5,3,4,6]=>[1,2,8,7,6,5,4,3]=>[8,7,1,2,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,7,5,6,8,4,3,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,1,8,4,5,6,7,2]=>[8,2,7,4,5,6,3,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[2,1,4,8,6,5,3,7]=>[2,1,7,8,6,5,3,4]=>[7,8,2,1,3,4,6,5]=>[[[.,[.,.]],.],[.,[.,[[.,.],.]]]]
[2,4,1,8,6,5,3,7]=>[3,7,1,8,6,5,2,4]=>[6,2,8,1,3,4,7,5]=>[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]
[4,2,1,8,6,5,3,7]=>[7,3,2,8,6,5,1,4]=>[2,6,7,1,3,4,8,5]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]
[3,2,7,8,5,1,4,6]=>[6,2,8,7,5,1,4,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[2,3,7,8,5,1,4,6]=>[6,2,8,7,5,1,4,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[2,7,3,8,5,1,4,6]=>[6,8,3,7,5,1,4,2]=>[3,1,6,2,4,8,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[3,6,2,8,5,1,4,7]=>[6,7,3,8,5,1,2,4]=>[3,2,6,1,4,8,7,5]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]
[4,1,2,8,7,5,3,6]=>[7,2,3,8,6,5,1,4]=>[2,7,6,1,3,4,8,5]=>[[.,[[.,.],.]],[.,[.,[[.,.],.]]]]
[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]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[1,2,6,8,4,5,3,7]=>[1,2,7,8,6,5,3,4]=>[8,7,2,1,3,4,6,5]=>[[[[.,.],.],.],[.,[.,[[.,.],.]]]]
[7,1,6,5,8,4,3,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[7,6,1,5,8,4,3,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[8,5,9,4,2,6,7,1,3,10]=>[9,8,7,6,5,4,3,2,1,10]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[8,5,9,3,2,6,1,4,7,10]=>[9,8,7,6,5,4,3,2,1,10]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[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]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[7,6,3,8,9,2,1,4,5,10]=>[9,8,7,6,5,4,3,2,1,10]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[10,8,11,6,9,4,7,2,5,1,3,12]=>[11,10,9,8,7,6,5,4,3,2,1,12]=>[2,3,4,5,6,7,8,9,10,11,12,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]],.]
[10,8,11,6,9,3,7,2,1,4,5,12]=>[11,10,9,8,7,6,5,4,3,2,1,12]=>[2,3,4,5,6,7,8,9,10,11,12,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]],.]
[10,8,11,5,9,4,2,6,7,1,3,12]=>[11,10,9,8,7,6,5,4,3,2,1,12]=>[2,3,4,5,6,7,8,9,10,11,12,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]],.]
[10,8,11,5,9,3,2,6,1,4,7,12]=>[11,10,9,8,7,6,5,4,3,2,1,12]=>[2,3,4,5,6,7,8,9,10,11,12,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]],.]
[10,8,11,4,9,3,2,1,5,6,7,12]=>[11,10,9,8,7,6,5,4,3,2,1,12]=>[2,3,4,5,6,7,8,9,10,11,12,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]],.]
[10,7,11,6,4,8,9,2,5,1,3,12]=>[11,10,9,8,7,6,5,4,3,2,1,12]=>[2,3,4,5,6,7,8,9,10,11,12,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]],.]
[10,7,11,6,3,8,9,2,1,4,5,12]=>[11,10,9,8,7,6,5,4,3,2,1,12]=>[2,3,4,5,6,7,8,9,10,11,12,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]],.]
[10,7,11,5,4,8,2,6,9,1,3,12]=>[11,10,9,8,7,6,5,4,3,2,1,12]=>[2,3,4,5,6,7,8,9,10,11,12,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]],.]
[10,7,11,5,3,8,2,6,1,4,9,12]=>[11,10,9,8,7,6,5,4,3,2,1,12]=>[2,3,4,5,6,7,8,9,10,11,12,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]],.]
[10,7,11,4,3,8,2,1,5,6,9,12]=>[11,10,9,8,7,6,5,4,3,2,1,12]=>[2,3,4,5,6,7,8,9,10,11,12,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]],.]
[9,8,6,10,11,4,7,2,5,1,3,12]=>[11,10,9,8,7,6,5,4,3,2,1,12]=>[2,3,4,5,6,7,8,9,10,11,12,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]],.]
[9,8,6,10,11,3,7,2,1,4,5,12]=>[11,10,9,8,7,6,5,4,3,2,1,12]=>[2,3,4,5,6,7,8,9,10,11,12,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]],.]
[9,8,5,10,11,4,2,6,7,1,3,12]=>[11,10,9,8,7,6,5,4,3,2,1,12]=>[2,3,4,5,6,7,8,9,10,11,12,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]],.]
[9,8,5,10,11,3,2,6,1,4,7,12]=>[11,10,9,8,7,6,5,4,3,2,1,12]=>[2,3,4,5,6,7,8,9,10,11,12,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]],.]
[6,5,4,3,2,1,7,8,9,10,11,12]=>[6,5,4,3,2,1,7,8,9,10,11,12]=>[7,8,9,10,11,12,6,5,4,3,2,1]=>[[[[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.],.],.],.]
[1,8,7,5,3,2,4,6]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,7,4,2,5,3,6]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,3,6,4,2,7,1,8]=>[7,5,4,3,2,6,1,8]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[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]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[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]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[5,3,8,7,4,2,1,6]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,3,7,4,1,8,5,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,1,8,7,5,3,2,4]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,3,2,8,7,6,1,5]=>[7,3,2,8,6,5,1,4]=>[2,6,7,1,3,4,8,5]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,7,4,2,5,8,6,3]=>[1,8,7,4,5,6,3,2]=>[8,1,2,5,4,3,6,7]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[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]=>[2,3,6,1,4,7,8,5]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[4,1,8,7,5,3,2,6]=>[7,2,8,6,5,4,1,3]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[2,8,6,4,1,3,7,5]=>[5,8,7,6,1,4,3,2]=>[4,1,2,3,8,5,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[4,1,8,6,3,2,7,5]=>[6,2,8,7,5,1,4,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[7,4,2,8,6,3,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[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]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,3,1,7,5,8,6,4]=>[3,2,1,8,7,6,5,4]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[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]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[3,6,5,2,1,4,8,7]=>[5,6,4,3,1,2,8,7]=>[4,3,5,6,8,7,1,2]=>[[[.,.],[.,[.,[[.,.],.]]]],[.,.]]
[3,5,6,2,1,4,8,7]=>[5,6,4,3,1,2,8,7]=>[4,3,5,6,8,7,1,2]=>[[[.,.],[.,[.,[[.,.],.]]]],[.,.]]
[3,5,7,8,1,4,2,6]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[4,1,8,5,7,3,2,6]=>[7,2,8,6,5,4,1,3]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[4,1,7,5,8,3,2,6]=>[7,2,8,6,5,4,1,3]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[2,1,5,8,7,4,3,6]=>[2,1,7,8,6,5,3,4]=>[7,8,2,1,3,4,6,5]=>[[[.,[.,.]],.],[.,[.,[[.,.],.]]]]
[2,1,5,7,8,4,3,6]=>[2,1,7,8,6,5,3,4]=>[7,8,2,1,3,4,6,5]=>[[[.,[.,.]],.],[.,[.,[[.,.],.]]]]
[5,1,7,4,8,3,2,6]=>[7,2,8,6,5,4,1,3]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[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]=>[3,1,4,5,6,8,2,7]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[6,2,8,4,1,7,3,5]=>[8,5,7,6,2,4,3,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[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]=>[3,4,6,1,7,8,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[4,3,5,8,1,2,7,6]=>[6,5,3,8,2,1,7,4]=>[3,4,6,1,7,8,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[3,5,4,8,1,2,7,6]=>[6,5,3,8,2,1,7,4]=>[3,4,6,1,7,8,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[4,5,3,8,1,2,7,6]=>[6,5,3,8,2,1,7,4]=>[3,4,6,1,7,8,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[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]=>[4,1,2,3,8,5,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[1,8,7,4,2,6,3,5]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[1,8,7,5,6,2,3,4]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,6,8,5,7,1,3,4]=>[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[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]=>[2,4,1,3,7,5,8,6]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[1,8,5,7,6,2,3,4]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,5,8,7,6,1,3,4]=>[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[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]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[1,8,6,7,5,2,3,4]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,7,8,6,5,1,3,4]=>[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[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]=>[4,1,2,3,8,5,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[5,4,8,7,1,3,2,6]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[2,8,7,1,4,5,3,6]=>[4,8,7,1,6,5,3,2]=>[5,1,2,8,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[4,2,1,8,7,3,5,6]=>[6,3,2,8,7,1,5,4]=>[3,6,7,1,2,8,4,5]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]
[4,6,1,8,7,3,2,5]=>[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[8,7,2,3,5,4,1,6]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,3,1,4,8,7,2,6]=>[7,4,3,2,8,6,1,5]=>[2,5,6,7,1,3,8,4]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]
[4,3,5,2,8,7,1,6]=>[7,4,3,2,8,6,1,5]=>[2,5,6,7,1,3,8,4]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]
[3,4,2,8,6,1,5,7]=>[6,3,2,8,7,1,5,4]=>[3,6,7,1,2,8,4,5]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]
[3,7,6,8,1,5,2,4]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[2,8,6,1,7,3,5,4]=>[4,8,7,1,6,5,3,2]=>[5,1,2,8,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,7,6,3,5,8,2,4]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[3,7,5,1,6,8,2,4]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[3,6,5,8,1,4,7,2]=>[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[8,1,5,6,4,7,2,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,6,7,4,1,8,2,5]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[1,7,4,6,8,2,5,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[6,1,8,3,4,5,2,7]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,3,1,8,4,6,2,7]=>[7,5,3,8,2,6,1,4]=>[2,4,6,1,7,3,8,5]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[3,8,1,6,7,4,2,5]=>[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[2,7,4,3,6,8,1,5]=>[7,8,4,3,5,6,1,2]=>[2,1,5,6,4,3,8,7]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]
[2,8,4,6,1,5,3,7]=>[5,8,7,6,1,4,3,2]=>[4,1,2,3,8,5,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[4,7,3,8,5,2,1,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[3,1,7,4,8,5,2,6]=>[7,2,8,4,6,5,1,3]=>[2,7,1,5,3,4,8,6]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[7,3,1,4,5,2,8,6]=>[8,6,3,4,5,2,7,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[6,1,4,8,5,3,2,7]=>[7,2,6,8,5,3,1,4]=>[2,7,3,1,4,6,8,5]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]
[8,1,2,4,6,7,5,3]=>[8,2,3,7,6,5,4,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[8,1,3,6,7,5,4,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,2,7,6,1,5,8,3]=>[8,5,6,4,2,3,7,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[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]=>[1,3,6,5,2,7,4,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[6,1,5,7,3,8,4,2]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[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]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[8,1,5,6,4,7,3,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,5,8,1,6,4,7,3]=>[4,8,7,1,6,5,3,2]=>[5,1,2,8,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[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]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[3,6,5,8,4,1,7,2]=>[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,7,1,5,2,8,6,4]=>[5,8,3,7,1,6,4,2]=>[4,1,6,2,8,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[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]=>[2,4,1,3,7,5,8,6]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[7,1,8,6,2,4,3,5]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,6,2,7,5,3,4]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,1,6,2,8,5,3,4]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,3,4,1,7,2,8,5]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[7,2,4,3,5,1,8,6]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[5,1,7,2,3,8,6,4]=>[8,2,7,4,5,6,3,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,1,8,2,7,5,3,4]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,2,8,1,6,5,3,4]=>[8,4,7,2,6,5,3,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,2,6,4,3,8,1,5]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,1,7,4,3,8,2,6]=>[7,2,8,5,4,6,1,3]=>[2,7,1,4,5,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[5,3,1,7,4,8,2,6]=>[7,5,3,8,2,6,1,4]=>[2,4,6,1,7,3,8,5]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[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]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[6,1,7,3,2,8,5,4]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[6,2,1,5,3,8,4,7]=>[7,3,2,5,4,8,1,6]=>[2,6,7,4,5,1,8,3]=>[[.,[[.,[.,.]],[.,.]]],[[.,.],.]]
[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]=>[2,7,4,5,6,1,8,3]=>[[.,[[.,.],[.,[.,.]]]],[[.,.],.]]
[6,3,2,8,4,1,5,7]=>[7,6,3,8,5,2,1,4]=>[2,3,6,1,4,7,8,5]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,6,1,3,7,5,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,6,7,1,5,2,8,4]=>[6,8,5,4,3,1,7,2]=>[3,1,4,5,6,8,2,7]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[7,1,3,8,4,2,6,5]=>[8,2,6,7,5,3,4,1]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[5,6,2,7,1,3,8,4]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,6,2,8,1,3,7,4]=>[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[6,1,8,3,7,5,2,4]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,4,1,5,8,3,2,6]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,4,2,7,3,8,1,5]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,1,8,3,7,4,2,6]=>[7,2,8,6,5,4,1,3]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[7,4,8,3,1,5,2,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,1,8,4,5,2,7,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[4,1,6,3,8,5,2,7]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]
[4,5,7,3,1,6,8,2]=>[8,5,6,4,2,3,7,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[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]=>[4,1,6,3,8,5,2,7]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]
[4,6,7,2,1,5,8,3]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,6,7,1,3,8,5,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,1,3,7,4,8,5,2]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[3,2,1,7,4,8,5,6]=>[3,2,1,8,5,7,6,4]=>[6,7,8,1,4,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[2,5,1,4,3,8,6,7]=>[3,5,1,4,2,8,7,6]=>[6,4,8,5,7,1,2,3]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]
[6,2,7,1,4,8,5,3]=>[8,4,7,2,5,6,3,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[3,7,4,2,1,8,5,6]=>[5,8,4,3,1,7,6,2]=>[4,1,5,6,8,2,3,7]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[7,5,4,1,3,8,6,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[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]=>[4,1,2,3,8,5,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[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]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[2,5,8,1,4,3,7,6]=>[4,6,8,1,5,2,7,3]=>[5,3,1,8,4,7,2,6]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]
[3,6,8,2,1,5,7,4]=>[5,8,7,4,1,6,3,2]=>[4,1,2,5,8,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,7,4,1,8,3,6,5]=>[4,8,6,1,7,3,5,2]=>[5,1,3,8,2,6,4,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[3,5,1,8,4,2,7,6]=>[6,5,3,8,2,1,7,4]=>[3,4,6,1,7,8,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[4,1,5,7,3,6,2,8]=>[7,2,5,6,3,4,1,8]=>[2,7,4,3,6,5,8,1]=>[[.,[[[.,.],.],[[.,.],[.,.]]]],.]
[4,2,5,8,3,1,7,6]=>[6,5,3,8,2,1,7,4]=>[3,4,6,1,7,8,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[6,1,2,7,8,3,5,4]=>[8,2,3,7,6,5,4,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[5,3,1,8,6,4,2,7]=>[7,6,3,8,5,2,1,4]=>[2,3,6,1,4,7,8,5]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[3,1,8,4,7,5,2,6]=>[7,2,8,4,6,5,1,3]=>[2,7,1,5,3,4,8,6]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[4,2,8,7,3,5,1,6]=>[7,5,8,6,2,4,1,3]=>[2,4,1,3,7,5,8,6]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[4,8,1,7,6,2,3,5]=>[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[6,8,1,4,7,5,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,3,8,1,6,4,2,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,1,8,6,2,5,3,4]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[4,1,2,5,8,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[2,8,7,1,6,3,5,4]=>[4,8,7,1,6,5,3,2]=>[5,1,2,8,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[3,7,6,1,5,4,2,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,3,7,5,4,2,8,6]=>[1,6,8,5,4,2,7,3]=>[8,3,1,4,5,7,2,6]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]
[6,1,2,5,4,7,3,8]=>[7,2,3,5,4,6,1,8]=>[2,7,6,4,5,3,8,1]=>[[.,[[[[.,.],.],[.,.]],[.,.]]],.]
[5,2,6,3,4,7,1,8]=>[7,5,4,3,2,6,1,8]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[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]=>[5,3,1,8,4,7,2,6]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]
[2,3,6,7,4,8,1,5]=>[7,2,8,5,4,6,1,3]=>[2,7,1,4,5,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[1,3,6,7,4,8,5,2]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[2,7,6,5,3,1,8,4]=>[6,8,5,4,3,1,7,2]=>[3,1,4,5,6,8,2,7]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[4,7,6,5,2,1,8,3]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,3,6,2,4,1,7,8]=>[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[5,7,4,2,1,3,6,8]=>[6,7,5,4,3,1,2,8]=>[3,2,4,5,6,8,7,1]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[5,3,6,1,4,2,7,8]=>[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[1,7,4,2,6,3,8,5]=>[1,8,6,4,5,3,7,2]=>[8,1,3,5,4,6,2,7]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[5,7,4,1,2,3,6,8]=>[6,7,5,4,3,1,2,8]=>[3,2,4,5,6,8,7,1]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[6,4,1,2,5,3,7,8]=>[6,5,3,4,2,1,7,8]=>[3,4,6,5,7,8,2,1]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[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]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[3,7,6,5,1,2,8,4]=>[6,8,5,4,3,1,7,2]=>[3,1,4,5,6,8,2,7]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[4,7,2,6,1,3,8,5]=>[6,8,5,4,3,1,7,2]=>[3,1,4,5,6,8,2,7]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[2,7,1,6,8,3,5,4]=>[3,8,1,7,6,5,4,2]=>[6,1,8,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[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]=>[.,[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]]
[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]=>[1,9,2,3,4,5,6,7,8,10]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[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]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[8,4,1,7,6,5,3,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,5,6,2,3,8,1,7]=>[7,5,4,3,2,8,1,6]=>[2,4,5,6,7,1,8,3]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[4,5,3,2,7,8,1,6]=>[7,4,3,2,8,6,1,5]=>[2,5,6,7,1,3,8,4]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]
[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]=>[2,7,1,5,4,3,8,6]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[6,8,1,5,2,4,3,7]=>[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[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]=>[2,7,6,1,4,3,8,5]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[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]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[5,4,3,1,7,8,2,6]=>[7,4,3,2,8,6,1,5]=>[2,5,6,7,1,3,8,4]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,5,6,4,1,3,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[1,5,6,8,4,7,3,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,1,3,7,6,5,8,2]=>[8,2,3,6,5,4,7,1]=>[1,7,6,3,4,5,2,8]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[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]=>[1,5,4,7,6,2,3,8]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,8,7,2,3,5,6,4]=>[1,8,7,4,5,6,3,2]=>[8,1,2,5,4,3,6,7]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[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]=>[4,1,5,6,8,2,3,7]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[5,4,7,2,3,6,8,1]=>[8,5,6,4,2,3,7,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[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]=>[4,7,1,5,8,2,3,6]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[2,7,8,5,1,3,6,4]=>[5,8,7,6,1,4,3,2]=>[4,1,2,3,8,5,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[8,2,5,6,7,1,3,4]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[6,7,1,5,8,2,4,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,3,4,6,1,5,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[3,4,2,1,7,8,6,5]=>[[[.,[.,.]],.],[[[.,[.,.]],.],.]]
[3,7,6,2,4,5,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[2,3,6,5,8,1,4,7]=>[6,2,7,4,8,1,3,5]=>[3,7,2,5,1,8,6,4]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]
[2,3,5,8,6,1,4,7]=>[6,2,7,8,5,1,3,4]=>[3,7,2,1,4,8,6,5]=>[[[.,[.,.]],.],[.,[[[.,.],.],.]]]
[4,2,3,8,6,1,5,7]=>[6,3,2,8,7,1,5,4]=>[3,6,7,1,2,8,4,5]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]
[6,4,1,2,8,3,5,7]=>[7,6,3,4,8,2,1,5]=>[2,3,6,5,1,7,8,4]=>[[.,[.,[[.,.],.]]],[[.,[.,.]],.]]
[1,2,3,7,4,6,8,5]=>[1,2,3,8,5,6,7,4]=>[8,7,6,1,4,3,2,5]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]
[3,2,7,1,4,5,8,6]=>[4,2,8,1,5,6,7,3]=>[5,7,1,8,4,3,2,6]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]
[5,8,3,2,4,1,6,7]=>[6,8,5,4,3,1,7,2]=>[3,1,4,5,6,8,2,7]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[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]=>[3,7,1,5,2,8,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[1,2,7,5,3,8,4,6]=>[1,2,8,7,5,6,4,3]=>[8,7,1,2,4,3,5,6]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[1,2,3,7,6,8,4,5]=>[1,2,3,8,7,6,5,4]=>[8,7,6,1,2,3,4,5]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[1,2,3,6,8,7,4,5]=>[1,2,3,8,7,6,5,4]=>[8,7,6,1,2,3,4,5]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[1,2,3,7,8,4,6,5]=>[1,2,3,8,7,6,5,4]=>[8,7,6,1,2,3,4,5]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[1,2,3,6,8,4,7,5]=>[1,2,3,8,7,6,5,4]=>[8,7,6,1,2,3,4,5]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[1,2,3,7,8,6,4,5]=>[1,2,3,8,7,6,5,4]=>[8,7,6,1,2,3,4,5]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[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]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,3,4,8,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[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]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,5,3,8,6,7,2,1]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,3,8,7,5,4,6,1]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,8,2,7,4,5,6,3]=>[1,8,3,7,6,5,4,2]=>[8,1,6,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[4,5,1,7,8,2,3,6]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[4,2,5,1,3,8,6,7]=>[5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[5,3,6,1,7,2,4,8]=>[7,6,4,3,5,2,1,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[3,7,4,1,2,8,5,6]=>[5,8,4,3,1,7,6,2]=>[4,1,5,6,8,2,3,7]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[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]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[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]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[8,2,6,3,7,1,4,5]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[8,4,7,1,2,3,6,5]=>[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]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[3,7,5,8,1,2,4,6]=>[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[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]=>[4,1,2,5,8,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[3,7,2,4,8,1,6,5]=>[6,8,3,4,7,1,5,2]=>[3,1,6,5,2,8,4,7]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[4,6,3,8,1,2,5,7]=>[6,7,5,8,3,1,2,4]=>[3,2,4,1,6,8,7,5]=>[[[.,.],[.,.]],[[.,[[.,.],.]],.]]
[4,6,3,7,1,2,5,8]=>[6,7,5,4,3,1,2,8]=>[3,2,4,5,6,8,7,1]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[4,1,7,8,2,3,6,5]=>[6,2,8,7,5,1,4,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[5,1,2,8,6,3,4,7]=>[7,2,3,8,6,5,1,4]=>[2,7,6,1,3,4,8,5]=>[[.,[[.,.],.]],[.,[.,[[.,.],.]]]]
[6,1,8,5,2,3,4,7]=>[7,2,8,6,5,4,1,3]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[6,8,1,3,7,4,5,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,2,8,1,6,3,4,5]=>[8,4,7,2,6,5,3,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[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]=>[4,1,2,5,8,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,1,3,4,7,2,5,8]=>[7,2,6,4,5,3,1,8]=>[2,7,3,5,4,6,8,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[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]=>[2,7,6,3,4,5,8,1]=>[[.,[[[.,.],.],[.,[.,[.,.]]]]],.]
[1,2,8,7,5,4,3,6]=>[1,2,8,7,6,5,4,3]=>[8,7,1,2,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[5,1,7,3,6,4,8,2]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[6,2,3,7,4,1,5,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[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]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[2,7,3,8,6,4,1,5]=>[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[1,8,3,7,6,4,5,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,2,7,1,4,6,8,3]=>[8,4,6,2,5,3,7,1]=>[1,5,3,7,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[4,6,7,5,2,1,8,3]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,3,1,4,6,2,7,8]=>[6,4,3,2,5,1,7,8]=>[3,5,6,7,4,8,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[5,7,4,1,2,6,3,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,8,1,2,6,7,3,5]=>[7,8,3,4,6,5,1,2]=>[2,1,6,5,3,4,8,7]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]
[4,1,7,8,2,6,3,5]=>[7,2,8,6,5,4,1,3]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[1,2,8,7,6,5,3,4]=>[1,2,8,7,6,5,4,3]=>[8,7,1,2,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[3,1,2,4,6,8,7,5]=>[3,2,1,4,8,7,6,5]=>[6,7,8,5,1,2,3,4]=>[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]
[3,1,8,4,5,7,6,2]=>[8,2,7,4,5,6,3,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[3,2,8,5,4,7,1,6]=>[7,2,8,5,4,6,1,3]=>[2,7,1,4,5,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[4,2,8,1,5,3,7,6]=>[6,4,8,2,5,1,7,3]=>[3,5,1,7,4,8,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[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]=>[3,1,5,6,2,8,4,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[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]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[3,7,8,5,2,1,6,4]=>[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[3,7,2,8,4,1,6,5]=>[6,8,3,7,5,1,4,2]=>[3,1,6,2,4,8,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[2,8,1,7,4,6,5,3]=>[3,8,1,7,6,5,4,2]=>[6,1,8,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[2,8,7,5,1,6,4,3]=>[5,8,7,6,1,4,3,2]=>[4,1,2,3,8,5,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[2,8,6,7,5,1,4,3]=>[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[5,1,3,4,6,7,2,8]=>[7,2,4,3,5,6,1,8]=>[2,7,5,6,4,3,8,1]=>[[.,[[[[.,.],[.,.]],.],[.,.]]],.]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,6,1,4,2,8,7,5]=>[5,8,3,4,1,7,6,2]=>[4,1,6,5,8,2,3,7]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[1,6,8,4,3,7,2,5]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,1,4,7,8,5,2,6]=>[7,2,3,8,6,5,1,4]=>[2,7,6,1,3,4,8,5]=>[[.,[[.,.],.]],[.,[.,[[.,.],.]]]]
[6,1,7,4,3,8,2,5]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[1,8,7,4,3,6,2,5]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,1,3,8,2,6,5]=>[8,6,3,4,7,2,5,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[4,8,6,2,1,3,7,5]=>[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[2,7,4,1,8,3,5,6]=>[4,8,6,1,7,3,5,2]=>[5,1,3,8,2,6,4,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[1,7,8,4,2,3,6,5]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,1,3,8,2,6,5]=>[6,8,3,4,7,1,5,2]=>[3,1,6,5,2,8,4,7]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[8,7,1,3,4,2,6,5]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,7,4,3,6,2,8,5]=>[1,8,6,4,5,3,7,2]=>[8,1,3,5,4,6,2,7]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[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]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[1,4,7,3,6,2,8,5]=>[1,6,8,4,5,2,7,3]=>[8,3,1,5,4,7,2,6]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]
[1,8,3,4,2,6,7,5]=>[1,8,5,4,3,7,6,2]=>[8,1,4,5,6,2,3,7]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[6,4,1,3,7,2,8,5]=>[8,6,3,4,5,2,7,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[8,1,4,3,6,2,7,5]=>[8,2,6,4,7,3,5,1]=>[1,7,3,5,2,6,4,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[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]=>[2,6,7,5,1,3,8,4]=>[[.,[[.,[.,.]],.]],[.,[[.,.],.]]]
[6,1,8,3,4,2,7,5]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,8,6,4,2,3,7,5]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,4,3,5,7,8,1,6]=>[7,3,2,4,8,6,1,5]=>[2,6,7,5,1,3,8,4]=>[[.,[[.,[.,.]],.]],[.,[[.,.],.]]]
[3,8,6,5,4,2,1,7]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[6,3,1,4,2,8,7,5]=>[8,5,3,4,2,7,6,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[1,8,4,2,6,5,3,7]=>[1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[5,1,4,8,6,3,2,7]=>[7,2,6,8,5,3,1,4]=>[2,7,3,1,4,6,8,5]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]
[5,3,1,8,4,7,2,6]=>[7,5,3,8,2,6,1,4]=>[2,4,6,1,7,3,8,5]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[4,3,8,1,5,7,2,6]=>[7,4,8,2,5,6,1,3]=>[2,5,1,7,4,3,8,6]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[6,3,1,2,5,7,4,8]=>[7,4,3,2,5,6,1,8]=>[2,5,6,7,4,3,8,1]=>[[.,[[[.,[.,[.,.]]],.],[.,.]]],.]
[7,1,4,2,6,5,3,8]=>[7,2,6,4,5,3,1,8]=>[2,7,3,5,4,6,8,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,3,6,4,5,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,6,3,1,8,4,7,2]=>[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[5,7,1,4,8,6,3,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,1,7,4,5,8,3,2]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[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]=>[1,3,6,5,2,7,4,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[6,5,3,7,4,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[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]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,5,1,7,2,6,4,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,7,1,4,5,2,6,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,6,3,1,5,2,8,4]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,5,1,8,2,6,3,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,7,3,1,5,4,2,6]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,6,2,1,5,4,8,7]=>[4,6,3,1,5,2,8,7]=>[5,3,6,8,4,7,1,2]=>[[[.,.],[[.,[.,.]],[.,.]]],[.,.]]
[2,5,8,1,7,4,3,6]=>[4,7,8,1,6,5,2,3]=>[5,2,1,8,3,4,7,6]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[4,5,1,7,8,2,3,6]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[4,2,3,7,1,5,8,6]=>[5,3,2,8,1,6,7,4]=>[4,6,7,1,8,3,2,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[5,2,7,3,8,6,1,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,1,5,8,4,3,7,6]=>[2,1,6,8,5,3,7,4]=>[7,8,3,1,4,6,2,5]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]
[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]=>[4,5,1,7,8,2,3,6]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[4,8,3,2,1,7,6,5]=>[5,8,4,3,1,7,6,2]=>[4,1,5,6,8,2,3,7]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[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]=>[4,5,1,7,8,2,3,6]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[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]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[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]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[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]=>[3,6,7,1,2,8,4,5]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]
[3,4,1,8,6,2,7,5]=>[6,3,2,8,7,1,5,4]=>[3,6,7,1,2,8,4,5]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]
[3,8,5,4,2,1,7,6]=>[6,8,5,4,3,1,7,2]=>[3,1,4,5,6,8,2,7]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[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]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[2,8,6,5,4,3,1,7]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[6,5,2,1,3,4,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,6,2,3,4,8,5,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,7,2,3,5,8,4,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,7,6,4,2,8,5,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,1,8,7,4,3,5,6]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[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]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[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]=>[4,1,2,5,8,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[8,1,6,3,2,4,5,7]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[5,7,1,4,8,3,6,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,1,7,5,4,8,3,2]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,3,6,5,2,7,4,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[6,5,2,8,1,4,3,7]=>[7,6,5,8,3,2,1,4]=>[2,3,4,1,6,7,8,5]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[7,4,2,8,1,3,6,5]=>[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[2,7,8,4,5,1,3,6]=>[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[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]=>[5,2,1,8,4,3,7,6]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]
[3,4,8,1,5,2,7,6]=>[6,4,8,2,5,1,7,3]=>[3,5,1,7,4,8,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[3,6,8,4,1,2,7,5]=>[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[4,8,1,2,5,3,6,7]=>[6,8,3,4,5,1,7,2]=>[3,1,6,5,4,8,2,7]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]
[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]=>[2,4,6,3,7,5,8,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[3,5,4,7,6,1,2,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[3,5,7,4,6,1,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,5,7,4,6,1,2,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[3,5,7,4,6,2,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[3,2,5,7,4,6,1,8]=>[7,2,5,6,3,4,1,8]=>[2,7,4,3,6,5,8,1]=>[[.,[[[.,.],.],[[.,.],[.,.]]]],.]
[3,5,2,7,6,4,1,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[3,5,7,2,6,4,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,3,7,6,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,3,7,6,1,2,8,4]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,3,7,6,1,4,2,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,3,7,6,4,1,2,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[3,5,7,2,6,1,4,8]=>[6,7,5,4,3,1,2,8]=>[3,2,4,5,6,8,7,1]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[5,3,7,6,4,1,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,7,5,4,1,8,2,6]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[3,7,5,4,1,8,6,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,7,5,1,4,8,6,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,7,5,1,4,8,2,6]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[3,5,7,1,2,6,8,4]=>[5,8,6,4,1,3,7,2]=>[4,1,3,5,8,6,2,7]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]
[3,5,7,2,1,6,8,4]=>[5,8,6,4,1,3,7,2]=>[4,1,3,5,8,6,2,7]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]
[3,5,2,7,1,6,4,8]=>[5,7,3,6,1,4,2,8]=>[4,2,6,3,8,5,7,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[5,3,7,1,6,2,4,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[3,5,7,1,4,6,8,2]=>[8,5,6,4,2,3,7,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[3,5,7,1,4,2,6,8]=>[6,5,7,4,2,1,3,8]=>[3,4,2,5,7,8,6,1]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[3,5,7,2,1,4,6,8]=>[5,6,7,4,1,2,3,8]=>[4,3,2,5,8,7,6,1]=>[[[[.,.],.],[.,[[[.,.],.],.]]],.]
[3,5,2,7,1,4,6,8]=>[5,6,3,7,1,2,4,8]=>[4,3,6,2,8,7,5,1]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]
[3,5,2,7,4,1,6,8]=>[6,5,3,7,2,1,4,8]=>[3,4,6,2,7,8,5,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[3,5,7,4,2,1,6,8]=>[6,5,7,4,2,1,3,8]=>[3,4,2,5,7,8,6,1]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[3,5,7,4,1,2,6,8]=>[6,5,7,4,2,1,3,8]=>[3,4,2,5,7,8,6,1]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[3,5,4,7,1,6,8,2]=>[8,5,3,6,2,4,7,1]=>[1,4,6,3,7,5,2,8]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[3,5,4,7,1,2,6,8]=>[6,5,3,7,2,1,4,8]=>[3,4,6,2,7,8,5,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[3,5,4,7,2,1,6,8]=>[6,5,3,7,2,1,4,8]=>[3,4,6,2,7,8,5,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[3,5,4,2,7,1,6,8]=>[6,4,3,2,7,1,5,8]=>[3,5,6,7,2,8,4,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[3,5,4,7,2,1,8,6]=>[6,5,3,8,2,1,7,4]=>[3,4,6,1,7,8,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[3,5,4,7,1,2,8,6]=>[6,5,3,8,2,1,7,4]=>[3,4,6,1,7,8,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[5,7,6,3,1,8,4,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,7,6,3,1,8,2,4]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,5,7,4,1,2,8,6]=>[6,5,8,4,2,1,7,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[3,5,7,4,2,1,8,6]=>[6,5,8,4,2,1,7,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[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]=>[4,3,6,1,8,7,2,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[3,5,7,2,1,4,8,6]=>[5,6,8,4,1,2,7,3]=>[4,3,1,5,8,7,2,6]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]
[3,5,7,1,4,2,8,6]=>[6,5,8,4,2,1,7,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[3,7,5,2,1,8,6,4]=>[5,8,7,4,1,6,3,2]=>[4,1,2,5,8,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[3,7,2,5,1,8,6,4]=>[5,8,3,7,1,6,4,2]=>[4,1,6,2,8,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[3,2,7,5,1,8,6,4]=>[5,2,8,7,1,6,4,3]=>[4,7,1,2,8,3,5,6]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[3,2,7,5,1,8,4,6]=>[5,2,8,7,1,6,4,3]=>[4,7,1,2,8,3,5,6]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[3,7,2,5,1,8,4,6]=>[5,8,3,7,1,6,4,2]=>[4,1,6,2,8,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[3,7,5,2,1,8,4,6]=>[5,8,7,4,1,6,3,2]=>[4,1,2,5,8,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[6,1,2,5,7,4,8,3]=>[8,2,3,6,5,4,7,1]=>[1,7,6,3,4,5,2,8]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[2,1,7,5,8,4,6,3]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,7,3,6,8,4,1,5]=>[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[2,1,8,3,4,7,5,6]=>[2,1,8,4,5,7,6,3]=>[7,8,1,5,4,2,3,6]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]
[5,1,7,2,4,8,3,6]=>[7,2,8,4,5,6,1,3]=>[2,7,1,5,4,3,8,6]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[3,4,2,6,7,1,8,5]=>[6,3,2,8,5,1,7,4]=>[3,6,7,1,4,8,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[3,5,8,7,2,1,6,4]=>[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[3,1,4,5,6,7,8,2,9]=>[8,2,3,4,5,6,7,1,9]=>[2,8,7,6,5,4,3,9,1]=>[[.,[[[[[[.,.],.],.],.],.],[.,.]]],.]
[5,8,3,4,1,7,6,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,3,6,5,2,7,4,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[3,7,6,4,1,8,5,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[4,7,2,3,8,5,6,1]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[3,2,8,7,6,1,5,4]=>[6,2,8,7,5,1,4,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[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]=>[2,4,6,1,7,3,8,5]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[5,8,2,4,1,6,3,7]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[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]=>[4,7,2,1,8,3,6,5]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]
[3,2,8,6,7,1,5,4]=>[6,2,8,7,5,1,4,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[3,2,6,8,7,1,5,4]=>[6,2,8,7,5,1,4,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[3,2,6,7,1,5,4,8]=>[5,2,7,6,1,4,3,8]=>[4,7,2,3,8,5,6,1]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[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]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[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]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[2,6,5,7,1,8,3,4]=>[5,8,7,4,1,6,3,2]=>[4,1,2,5,8,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[2,5,1,8,7,4,3,6]=>[3,7,1,8,6,5,2,4]=>[6,2,8,1,3,4,7,5]=>[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]
[8,1,4,6,3,5,2,7]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,3,5,4,1,6,2,7]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[4,7,1,5,8,2,3,6]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[2,1,8,5,3,4,7,6]=>[2,1,8,6,5,4,7,3]=>[7,8,1,3,4,5,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[1,6,8,3,4,5,7,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,4,1,8,3,5,6,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,2,3,1,7,5,4]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,7,4,3,8,5,6,1]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,2,5,7,4,8,1,6]=>[7,2,5,8,3,6,1,4]=>[2,7,4,1,6,3,8,5]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[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]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[2,8,5,6,7,1,4,3]=>[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[1,5,2,7,8,6,4,3]=>[1,8,3,7,6,5,4,2]=>[8,1,6,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[2,6,8,5,1,4,7,3]=>[5,8,7,6,1,4,3,2]=>[4,1,2,3,8,5,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[1,4,2,8,6,5,7,3]=>[1,8,3,7,6,5,4,2]=>[8,1,6,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[3,5,1,6,8,7,2,4]=>[7,8,3,4,6,5,1,2]=>[2,1,6,5,3,4,8,7]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]
[5,7,6,2,1,3,8,4]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[2,5,8,7,4,1,6,3]=>[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[5,2,4,8,6,7,1,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,6,7,5,4,3,2,8]=>[.,[[[[[.,[.,.]],.],.],.],[.,.]]]
[7,3,5,2,4,6,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[3,7,5,2,4,6,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,7,3,2,4,6,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,5,3,2,4,7,6,8]=>[1,5,4,3,2,7,6,8]=>[8,4,5,6,7,2,3,1]=>[[[[.,.],[.,[.,[.,.]]]],[.,.]],.]
[5,7,3,2,1,4,6,8]=>[6,7,5,4,3,1,2,8]=>[3,2,4,5,6,8,7,1]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[5,7,3,2,4,1,6,8]=>[6,7,5,4,3,1,2,8]=>[3,2,4,5,6,8,7,1]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[5,1,3,2,4,7,6,8]=>[5,2,4,3,1,7,6,8]=>[4,7,5,6,8,2,3,1]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[7,1,3,5,2,4,6,8]=>[7,2,5,6,3,4,1,8]=>[2,7,4,3,6,5,8,1]=>[[.,[[[.,.],.],[[.,.],[.,.]]]],.]
[3,2,7,5,1,4,6,8]=>[5,2,7,6,1,4,3,8]=>[4,7,2,3,8,5,6,1]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[5,7,3,1,2,4,6,8]=>[6,7,5,4,3,1,2,8]=>[3,2,4,5,6,8,7,1]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[5,3,2,7,4,1,6,8]=>[6,5,3,7,2,1,4,8]=>[3,4,6,2,7,8,5,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[5,3,2,4,7,1,6,8]=>[6,4,3,2,7,1,5,8]=>[3,5,6,7,2,8,4,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[5,3,2,1,4,7,6,8]=>[5,4,3,2,1,7,6,8]=>[4,5,6,7,8,2,3,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[5,3,2,1,7,4,6,8]=>[6,4,3,2,7,1,5,8]=>[3,5,6,7,2,8,4,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[1,3,2,7,5,4,6,8]=>[1,3,2,7,6,5,4,8]=>[8,6,7,2,3,4,5,1]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]
[1,3,7,2,5,4,6,8]=>[1,4,7,2,6,5,3,8]=>[8,5,2,7,3,4,6,1]=>[[[[.,.],.],[[.,.],[.,[.,.]]]],.]
[5,3,1,2,7,4,6,8]=>[6,4,3,2,7,1,5,8]=>[3,5,6,7,2,8,4,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[5,3,1,2,4,7,6,8]=>[5,4,3,2,1,7,6,8]=>[4,5,6,7,8,2,3,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[7,3,1,5,2,4,6,8]=>[7,5,3,6,2,4,1,8]=>[2,4,6,3,7,5,8,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[1,3,7,5,2,4,6,8]=>[1,5,7,6,2,4,3,8]=>[8,4,2,3,7,5,6,1]=>[[[[.,.],.],[.,[[.,.],[.,.]]]],.]
[7,5,1,3,2,4,6,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[3,7,1,5,2,4,6,8]=>[5,7,3,6,1,4,2,8]=>[4,2,6,3,8,5,7,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[3,7,1,2,5,4,6,8]=>[4,7,3,1,6,5,2,8]=>[5,2,6,8,3,4,7,1]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[3,7,2,1,5,4,6,8]=>[4,7,3,1,6,5,2,8]=>[5,2,6,8,3,4,7,1]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[3,2,1,7,5,4,6,8]=>[3,2,1,7,6,5,4,8]=>[6,7,8,2,3,4,5,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[3,1,2,7,5,4,6,8]=>[3,2,1,7,6,5,4,8]=>[6,7,8,2,3,4,5,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[3,1,7,2,5,4,6,8]=>[4,2,7,1,6,5,3,8]=>[5,7,2,8,3,4,6,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[3,1,7,5,2,4,6,8]=>[5,2,7,6,1,4,3,8]=>[4,7,2,3,8,5,6,1]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[1,7,5,3,2,4,6,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[1,9,8,7,6,2,5,4,3]=>[1,9,8,7,6,5,4,3,2]=>[9,1,2,3,4,5,6,7,8]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[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]=>[10,1,2,3,4,5,6,7,8,9]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[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]=>[10,1,2,3,4,5,6,7,8,9]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[1,8,7,4,2,6,5,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[5,1,2,3,4,10,6,7,8,9]=>[[.,.],[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]]
[2,8,5,1,7,6,4,3]=>[4,8,7,1,6,5,3,2]=>[5,1,2,8,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[6,8,5,1,2,7,4,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[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]=>[11,1,2,3,4,5,6,7,8,9,10]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[1,9,8,7,6,3,2,5,4]=>[1,9,8,7,6,5,4,3,2]=>[9,1,2,3,4,5,6,7,8]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[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]=>[11,1,2,3,4,5,6,7,8,9,10]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[1,9,8,7,4,2,6,5,3]=>[1,9,8,7,6,5,4,3,2]=>[9,1,2,3,4,5,6,7,8]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[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]=>[6,1,8,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,2,11,10,9,8,7,6,5,4,3]=>[1,2,11,10,9,8,7,6,5,4,3]=>[11,10,1,2,3,4,5,6,7,8,9]=>[[[.,.],.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[7,5,3,4,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[8,1,6,5,2,3,4,7]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[3,5,6,4,8,2,7,1]=>[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[3,5,1,4,8,2,7,6]=>[6,4,3,2,8,1,7,5]=>[3,5,6,7,1,8,2,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[1,7,5,4,8,2,6,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,7,5,1,6,4,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[1,7,5,4,8,6,3,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,5,1,4,8,7,3,6]=>[3,7,1,4,8,6,2,5]=>[6,2,8,5,1,3,7,4]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]
[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]=>[3,5,6,7,1,8,2,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[3,5,6,4,8,1,2,7]=>[7,6,4,3,8,2,1,5]=>[2,3,5,6,1,7,8,4]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[1,5,6,4,8,7,2,3]=>[1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[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]=>[8,2,3,5,1,6,7,4]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]
[7,1,3,4,5,8,2,6]=>[8,2,7,4,5,6,3,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[7,1,3,2,5,8,4,6]=>[8,2,4,3,7,6,5,1]=>[1,7,5,6,2,3,4,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[1,6,4,2,8,5,3,7]=>[1,7,6,4,8,3,2,5]=>[8,2,3,5,1,6,7,4]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]
[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]=>[3,1,5,6,2,8,4,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[2,6,4,3,8,5,7,1]=>[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[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]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[7,3,6,5,1,4,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,2,6,5,3,8,1,4]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,2,3,1,4,8,6,5]=>[8,4,3,2,5,7,6,1]=>[1,5,6,7,4,2,3,8]=>[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]
[2,6,4,5,8,1,7,3]=>[6,8,4,3,7,1,5,2]=>[3,1,5,6,2,8,4,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[1,5,6,4,8,3,7,2]=>[1,8,6,4,7,3,5,2]=>[8,1,3,5,2,6,4,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[2,5,6,4,8,3,1,7]=>[7,6,4,3,8,2,1,5]=>[2,3,5,6,1,7,8,4]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[1,6,4,5,8,3,2,7]=>[1,7,6,4,8,3,2,5]=>[8,2,3,5,1,6,7,4]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]
[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]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[3,5,6,8,2,1,7,4]=>[6,8,5,7,3,1,4,2]=>[3,1,4,2,6,8,5,7]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[4,2,1,5,3,7,8,6]=>[5,3,2,4,1,8,7,6]=>[4,6,7,5,8,1,2,3]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]
[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]=>[3,7,4,5,6,8,1,2]=>[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]
[4,5,3,1,7,2,8,6]=>[6,4,3,2,8,1,7,5]=>[3,5,6,7,1,8,2,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[4,1,3,5,2,7,8,6]=>[5,2,3,4,1,8,7,6]=>[4,7,6,5,8,1,2,3]=>[[.,[[[.,.],.],[.,.]]],[.,[.,.]]]
[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]=>[4,7,5,6,8,1,2,3]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]
[4,5,3,7,1,2,8,6]=>[6,5,3,8,2,1,7,4]=>[3,4,6,1,7,8,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[5,1,3,2,4,6,7,8]=>[5,2,4,3,1,6,7,8]=>[4,7,5,6,8,3,2,1]=>[[[[.,[[.,.],[.,[.,.]]]],.],.],.]
[3,6,1,7,4,5,2,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[5,1,3,4,2,6,7,8]=>[5,2,4,3,1,6,7,8]=>[4,7,5,6,8,3,2,1]=>[[[[.,[[.,.],[.,[.,.]]]],.],.],.]
[5,3,1,4,2,6,7,8]=>[5,4,3,2,1,6,7,8]=>[4,5,6,7,8,3,2,1]=>[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]
[4,5,2,3,7,1,8,6]=>[6,4,3,2,8,1,7,5]=>[3,5,6,7,1,8,2,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[3,6,2,1,7,4,8,5]=>[4,8,3,1,6,5,7,2]=>[5,1,6,8,3,4,2,7]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]
[3,1,4,7,6,5,2,8]=>[7,2,3,6,5,4,1,8]=>[2,7,6,3,4,5,8,1]=>[[.,[[[.,.],.],[.,[.,[.,.]]]]],.]
[3,6,2,7,1,5,8,4]=>[5,8,3,6,1,4,7,2]=>[4,1,6,3,8,5,2,7]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]
[4,6,2,7,1,3,5,8]=>[6,7,5,4,3,1,2,8]=>[3,2,4,5,6,8,7,1]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[5,1,4,2,3,6,7,8]=>[5,2,4,3,1,6,7,8]=>[4,7,5,6,8,3,2,1]=>[[[[.,[[.,.],[.,[.,.]]]],.],.],.]
[3,6,1,7,2,5,8,4]=>[5,8,3,6,1,4,7,2]=>[4,1,6,3,8,5,2,7]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]
[3,6,1,7,5,4,2,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[5,1,4,3,2,6,7,8]=>[5,2,4,3,1,6,7,8]=>[4,7,5,6,8,3,2,1]=>[[[[.,[[.,.],[.,[.,.]]]],.],.],.]
[5,4,1,3,2,6,7,8]=>[5,4,3,2,1,6,7,8]=>[4,5,6,7,8,3,2,1]=>[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]
[6,4,2,5,3,8,1,7]=>[7,5,4,3,2,8,1,6]=>[2,4,5,6,7,1,8,3]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[4,6,2,3,5,1,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[6,2,4,5,1,8,3,7]=>[7,5,4,3,2,8,1,6]=>[2,4,5,6,7,1,8,3]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[8,2,6,7,1,4,5,3]=>[8,5,7,6,2,4,3,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[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]=>[2,4,5,6,7,1,8,3]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[2,6,4,1,5,8,3,7]=>[4,7,5,1,3,8,2,6]=>[5,2,4,8,6,1,7,3]=>[[[.,.],[.,[[.,.],.]]],[[.,.],.]]
[2,8,1,6,7,4,5,3]=>[3,8,1,7,6,5,4,2]=>[6,1,8,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[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]=>[5,1,2,8,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[2,8,1,6,4,7,5,3]=>[3,8,1,7,6,5,4,2]=>[6,1,8,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[2,6,1,4,8,5,3,7]=>[3,7,1,6,8,4,2,5]=>[6,2,8,3,1,5,7,4]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]]
[6,4,5,2,8,3,1,7]=>[7,6,4,3,8,2,1,5]=>[2,3,5,6,1,7,8,4]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[4,2,3,6,1,8,5,7]=>[5,3,2,7,1,8,4,6]=>[4,6,7,2,8,1,5,3]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]
[4,2,3,1,6,8,5,7]=>[4,3,2,1,7,8,5,6]=>[5,6,7,8,2,1,4,3]=>[[[.,[.,[.,[.,.]]]],.],[[.,.],.]]
[4,2,3,8,6,1,7,5]=>[6,3,2,8,7,1,5,4]=>[3,6,7,1,2,8,4,5]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]
[6,4,5,8,2,3,7,1]=>[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[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]=>[4,5,1,7,8,2,3,6]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[2,4,8,1,3,6,7,5]=>[4,5,8,1,2,7,6,3]=>[5,4,1,8,7,2,3,6]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]
[2,4,1,8,3,6,7,5]=>[3,5,1,8,2,7,6,4]=>[6,4,8,1,7,2,3,5]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[2,1,4,8,6,3,7,5]=>[2,1,6,8,7,3,5,4]=>[7,8,3,1,2,6,4,5]=>[[[.,[.,.]],.],[.,[[.,.],[.,.]]]]
[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]=>[4,1,2,3,8,5,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[2,6,8,1,4,5,7,3]=>[4,8,7,1,6,5,3,2]=>[5,1,2,8,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[2,1,6,8,4,5,7,3]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,8,1,4,6,7,3,5]=>[3,8,1,7,6,5,4,2]=>[6,1,8,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,2,5,8,3,4,7,1]=>[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[6,2,3,8,7,4,1,5]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,4,7,3,5,8,6,1]=>[8,4,7,2,5,6,3,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[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]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,4,5,3,8,1,7,2]=>[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[4,6,5,3,7,1,2,8]=>[7,6,4,3,5,2,1,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[4,2,6,5,1,7,3,8]=>[7,5,4,3,2,6,1,8]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[4,3,5,7,2,1,6,8]=>[6,5,3,7,2,1,4,8]=>[3,4,6,2,7,8,5,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[3,4,6,2,5,8,7,1]=>[8,4,5,2,3,7,6,1]=>[1,5,4,7,6,2,3,8]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[1,8,2,3,6,5,7,4]=>[1,8,3,4,7,6,5,2]=>[8,1,6,5,2,3,4,7]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[4,2,8,3,5,7,1,6]=>[7,4,8,2,5,6,1,3]=>[2,5,1,7,4,3,8,6]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[4,3,8,6,5,7,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,5,4,7,3,6,8,2]=>[1,8,5,6,3,4,7,2]=>[8,1,4,3,6,5,2,7]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]
[5,2,3,8,4,1,7,6]=>[6,5,3,8,2,1,7,4]=>[3,4,6,1,7,8,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[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]=>[3,2,4,5,6,8,7,1]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[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]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[1,5,3,7,6,8,4,2]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,6,3,7,8,2,4,5]=>[1,8,6,7,5,3,4,2]=>[8,1,3,2,4,6,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[4,2,6,7,5,8,1,3]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,2,4,7,8,5,1,6]=>[7,2,3,8,6,5,1,4]=>[2,7,6,1,3,4,8,5]=>[[.,[[.,.],.]],[.,[.,[[.,.],.]]]]
[3,2,6,7,8,1,4,5]=>[6,2,8,7,5,1,4,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[5,1,8,3,6,4,7,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[2,5,1,7,3,4,8,6]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[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]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[4,2,5,3,1,7,8,6]=>[5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[4,2,8,7,6,3,1,5]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[4,2,7,6,3,1,5,8]=>[6,5,7,4,2,1,3,8]=>[3,4,2,5,7,8,6,1]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[6,3,1,7,5,2,4,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[6,3,1,8,7,5,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[1,8,2,7,6,4,3,5]=>[1,8,3,7,6,5,4,2]=>[8,1,6,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[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]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[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]=>[8,1,6,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,6,3,1,4,2,8,5]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[8,7,5,2,1,3,6,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[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]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,3,1,4,7,5,2,8]=>[7,6,3,4,5,2,1,8]=>[2,3,6,5,4,7,8,1]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[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]=>[8,1,6,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,8,2,6,4,7,5,3]=>[1,8,3,7,6,5,4,2]=>[8,1,6,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[7,5,2,1,6,4,8,3]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[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]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,4,1,6,3,5,2,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[7,4,1,8,6,3,5,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[4,5,7,2,6,3,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[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]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,2,6,3,5,7,1,8]=>[7,4,5,2,3,6,1,8]=>[2,5,4,7,6,3,8,1]=>[[.,[[[.,.],[[.,.],.]],[.,.]]],.]
[1,4,5,8,2,7,3,6]=>[1,7,5,8,3,6,2,4]=>[8,2,4,1,6,3,7,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[2,4,5,8,1,6,7,3]=>[5,8,3,7,1,6,4,2]=>[4,1,6,2,8,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[8,3,4,7,1,6,5,2]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[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]=>[3,7,2,5,4,8,6,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[3,1,6,8,2,7,4,5]=>[5,2,8,7,1,6,4,3]=>[4,7,1,2,8,3,5,6]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[6,1,3,8,2,5,4,7]=>[7,2,5,8,3,6,1,4]=>[2,7,4,1,6,3,8,5]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[4,8,2,3,1,6,7,5]=>[5,8,4,3,1,7,6,2]=>[4,1,5,6,8,2,3,7]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[3,2,6,8,1,5,7,4]=>[5,2,8,7,1,6,4,3]=>[4,7,1,2,8,3,5,6]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[8,2,6,1,5,4,7,3]=>[8,4,7,2,6,5,3,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[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]=>[4,1,6,2,8,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,6,8,5,2,4,3,7]=>[1,7,8,6,5,4,2,3]=>[8,2,1,3,4,5,7,6]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[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]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[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]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[4,8,1,6,2,3,7,5]=>[6,8,3,7,5,1,4,2]=>[3,1,6,2,4,8,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[4,5,3,1,7,2,6,8]=>[6,4,3,2,7,1,5,8]=>[3,5,6,7,2,8,4,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[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]=>[2,7,4,5,6,1,8,3]=>[[.,[[.,.],[.,[.,.]]]],[[.,.],.]]
[8,1,4,2,5,7,6,3]=>[8,2,7,4,5,6,3,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[8,1,4,3,5,7,6,2]=>[8,2,7,4,5,6,3,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[5,2,4,1,3,7,8,6]=>[5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[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]=>[8,1,2,5,4,3,6,7]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[2,7,6,3,1,8,4,5]=>[5,8,7,4,1,6,3,2]=>[4,1,2,5,8,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,8,5,7,4,2,6,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,1,5,4,7,2,6,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,1,4,7,5,8,3,6]=>[2,1,7,8,5,6,3,4]=>[7,8,2,1,4,3,6,5]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,1,7,6,3,5,4,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,6,7,2,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,4,7,8,1,6,5,3]=>[5,8,7,6,1,4,3,2]=>[4,1,2,3,8,5,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[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]=>[4,7,1,2,8,3,5,6]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[6,1,3,8,2,7,5,4]=>[8,2,5,7,3,6,4,1]=>[1,7,4,2,6,3,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[5,1,8,4,2,7,6,3]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[8,2,6,1,7,5,4,3]=>[8,4,7,2,6,5,3,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[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]=>[4,1,6,2,8,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,7,3,8,2,6,5,4]=>[1,8,5,7,3,6,4,2]=>[8,1,4,2,6,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[2,6,8,4,1,7,5,3]=>[5,8,7,6,1,4,3,2]=>[4,1,2,3,8,5,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,6,1,8,2,7,5,4]=>[5,8,3,7,1,6,4,2]=>[4,1,6,2,8,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[5,7,4,1,2,8,6,3]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,1,5,6,3,2,4,7]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,7,8,3,5,2,4,6]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[8,1,6,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,7,8,5,4,3,2,6]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[8,7,1,2,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[2,7,5,8,4,1,3,6]=>[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[2,1,7,8,4,5,3,6]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[3,7,8,2,1,5,4,6]=>[5,8,7,4,1,6,3,2]=>[4,1,2,5,8,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[8,5,1,4,7,3,6,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]
[3,1,7,5,6,8,2,4]=>[7,2,8,5,4,6,1,3]=>[2,7,1,4,5,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[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]=>[3,1,4,5,6,8,2,7]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[1,3,6,7,4,2,8,5]=>[1,6,8,5,4,2,7,3]=>[8,3,1,4,5,7,2,6]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]
[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]=>[8,4,1,5,7,3,2,6]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]
[8,7,1,5,6,3,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,1,6,7,5,3,2,4]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,7,8,6,5,3,2,4]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[8,1,6,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[2,7,1,8,4,6,5,3]=>[3,8,1,7,6,5,4,2]=>[6,1,8,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[3,7,8,2,1,6,5,4]=>[5,8,7,4,1,6,3,2]=>[4,1,2,5,8,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[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]=>[4,1,6,5,8,2,3,7]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[1,8,2,3,6,5,4,7]=>[1,8,3,4,7,6,5,2]=>[8,1,6,5,2,3,4,7]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,5,4,6,3,2,7]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,5,8,4,7,3,6,1]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[3,5,4,1,6,2,7,8]=>[6,4,3,2,5,1,7,8]=>[3,5,6,7,4,8,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[8,1,2,5,4,3,6,7]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[7,1,3,4,8,6,5,2]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,6,1,3,8,4,2,5]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,6,4,2,7,8,3,5]=>[1,8,7,4,5,6,3,2]=>[8,1,2,5,4,3,6,7]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[7,2,3,1,8,6,4,5]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[7,3,8,6,1,4,2,5]=>[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]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,6,4,8,7,1,5,3]=>[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[1,5,8,4,7,6,2,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,1,3,2,5,6,8,4]=>[8,2,4,3,6,5,7,1]=>[1,7,5,6,3,4,2,8]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[7,1,3,8,2,6,5,4]=>[8,2,5,7,3,6,4,1]=>[1,7,4,2,6,3,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[7,6,1,8,5,4,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,1,6,5,8,2,7,3]=>[8,2,6,4,7,3,5,1]=>[1,7,3,5,2,6,4,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[3,1,6,5,8,4,7,2]=>[8,2,6,4,7,3,5,1]=>[1,7,3,5,2,6,4,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[3,2,6,5,8,4,7,1]=>[8,2,6,4,7,3,5,1]=>[1,7,3,5,2,6,4,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[4,3,7,1,6,5,8,2]=>[8,4,6,2,5,3,7,1]=>[1,5,3,7,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[5,2,6,4,8,3,7,1]=>[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[5,1,6,4,8,3,7,2]=>[8,2,6,4,7,3,5,1]=>[1,7,3,5,2,6,4,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[5,1,6,4,8,2,7,3]=>[8,2,6,4,7,3,5,1]=>[1,7,3,5,2,6,4,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[5,2,6,4,8,1,7,3]=>[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[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]=>[3,5,1,7,4,8,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[4,3,7,1,5,2,8,6]=>[6,4,8,2,5,1,7,3]=>[3,5,1,7,4,8,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[4,3,7,1,6,2,8,5]=>[6,4,8,2,5,1,7,3]=>[3,5,1,7,4,8,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[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]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[4,1,7,8,6,3,2,5]=>[7,2,8,6,5,4,1,3]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[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]=>[8,7,1,2,4,3,5,6]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[6,8,3,2,1,4,7,5]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,2,4,1,6,5,8,3]=>[8,4,6,2,5,3,7,1]=>[1,5,3,7,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[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]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[4,2,7,3,8,5,6,1]=>[8,4,7,2,6,5,3,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[4,5,2,6,8,3,7,1]=>[8,6,3,4,7,2,5,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[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]=>[8,1,4,2,6,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,1,3,2,5,6,4,7]=>[8,2,4,3,7,6,5,1]=>[1,7,5,6,2,3,4,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[8,1,2,4,5,3,7,6]=>[8,2,3,6,5,4,7,1]=>[1,7,6,3,4,5,2,8]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[6,5,3,8,4,2,7,1]=>[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[7,4,5,1,6,2,8,3]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,7,3,5,6,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[2,5,4,7,8,1,6,3]=>[6,8,3,7,5,1,4,2]=>[3,1,6,2,4,8,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[2,4,6,8,1,7,5,3]=>[5,8,7,6,1,4,3,2]=>[4,1,2,3,8,5,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[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]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[3,2,7,6,1,8,4,5]=>[5,2,8,7,1,6,4,3]=>[4,7,1,2,8,3,5,6]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[3,2,6,8,1,7,4,5]=>[5,2,8,7,1,6,4,3]=>[4,7,1,2,8,3,5,6]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[4,3,6,2,1,8,5,7]=>[5,4,7,2,1,8,3,6]=>[4,5,2,7,8,1,6,3]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]
[3,6,4,2,5,8,1,7]=>[7,5,4,3,2,8,1,6]=>[2,4,5,6,7,1,8,3]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[4,6,2,3,7,5,8,1]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[5,8,4,2,3,6,7,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,4,5,3,2,1,7,6]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,8,3,4,2,1,7,6]=>[6,8,5,4,3,1,7,2]=>[3,1,4,5,6,8,2,7]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,5,4,8,1,6,7,3]=>[5,8,3,7,1,6,4,2]=>[4,1,6,2,8,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,4,3,7,2,1,5,6]=>[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[1,2,6,5,8,7,3,4]=>[1,2,8,7,6,5,4,3]=>[8,7,1,2,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,5,2,8,4,6,7,3]=>[1,8,3,7,5,6,4,2]=>[8,1,6,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,5,2,7,4,6,8,3]=>[1,8,3,6,5,4,7,2]=>[8,1,6,3,4,5,2,7]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[5,1,2,7,3,6,8,4]=>[8,2,3,6,5,4,7,1]=>[1,7,6,3,4,5,2,8]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[5,1,2,8,3,6,7,4]=>[8,2,3,7,5,6,4,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[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]=>[4,7,6,1,8,2,3,5]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]
[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]=>[3,1,6,5,4,8,2,7]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]
[7,1,2,8,3,6,4,5]=>[8,2,3,7,5,6,4,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[6,1,8,2,3,5,7,4]=>[8,2,7,4,5,6,3,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[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]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[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]=>[8,1,6,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[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]=>[1,7,2,5,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[8,1,7,2,3,5,6,4]=>[8,2,7,4,5,6,3,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[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]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[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]=>[1,7,2,5,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,3,7,5,1,4,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[1,8,3,5,7,2,6,4]=>[1,8,6,7,5,3,4,2]=>[8,1,3,2,4,6,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[2,3,4,6,8,5,7,1]=>[8,2,3,6,7,4,5,1]=>[1,7,6,3,2,5,4,8]=>[.,[[[[.,.],.],.],[[.,.],[.,.]]]]
[2,3,5,7,4,8,6,1]=>[8,2,5,7,3,6,4,1]=>[1,7,4,2,6,3,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[2,4,6,3,7,8,5,1]=>[8,4,7,2,5,6,3,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[2,5,7,1,8,6,3,4]=>[4,8,7,1,6,5,3,2]=>[5,1,2,8,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[8,2,4,5,1,3,7,6]=>[8,5,6,4,2,3,7,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[1,3,8,5,2,4,6,7]=>[1,5,8,6,2,4,7,3]=>[8,4,1,3,7,5,2,6]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]
[2,6,7,1,8,4,5,3]=>[4,8,7,1,6,5,3,2]=>[5,1,2,8,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[5,8,3,1,4,2,6,7]=>[6,8,5,4,3,1,7,2]=>[3,1,4,5,6,8,2,7]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[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]=>[6,2,8,1,4,3,7,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[1,6,2,7,8,5,3,4]=>[1,8,3,7,6,5,4,2]=>[8,1,6,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[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]=>[1,3,6,5,4,7,2,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[2,8,4,1,7,5,3,6]=>[4,8,7,1,6,5,3,2]=>[5,1,2,8,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[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]=>[2,4,1,3,7,5,8,6]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[5,2,6,8,1,7,4,3]=>[8,5,7,6,2,4,3,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[5,7,3,2,6,8,1,4]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,3,6,5,4,7,2,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[3,1,6,7,8,4,2,5]=>[7,2,8,6,5,4,1,3]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[3,1,4,8,5,6,2,7]=>[7,2,3,8,5,6,1,4]=>[2,7,6,1,4,3,8,5]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[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]=>[9,1,2,3,4,5,6,7,8]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,8,9,1,2,3,4,5,10]=>[9,8,7,6,5,4,3,2,1,10]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[6,7,8,1,2,3,4,5,9]=>[8,7,6,4,5,3,2,1,9]=>[2,3,4,6,5,7,8,9,1]=>[[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]],.]
[1,7,8,9,2,3,4,5,6]=>[1,9,8,7,5,6,4,3,2]=>[9,1,2,3,5,4,6,7,8]=>[[.,.],[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,7,8,9,10,2,3,4,5,6]=>[1,10,9,8,7,6,5,4,3,2]=>[10,1,2,3,4,5,6,7,8,9]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[6,7,8,9,10,1,2,3,4,5,11]=>[10,9,8,7,6,5,4,3,2,1,11]=>[2,3,4,5,6,7,8,9,10,11,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],.]
[5,6,7,8,9,1,2,3,4,10]=>[9,8,7,6,5,4,3,2,1,10]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[5,6,7,1,8,2,3,4,9]=>[8,7,6,4,5,3,2,1,9]=>[2,3,4,6,5,7,8,9,1]=>[[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]],.]
[1,6,7,8,2,9,3,4,5]=>[1,9,8,7,5,6,4,3,2]=>[9,1,2,3,5,4,6,7,8]=>[[.,.],[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,6,7,8,9,10,2,3,4,5]=>[1,10,9,8,7,6,5,4,3,2]=>[10,1,2,3,4,5,6,7,8,9]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[1,7,8,9,10,11,2,3,4,5,6]=>[1,11,10,9,8,7,6,5,4,3,2]=>[11,1,2,3,4,5,6,7,8,9,10]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,2,3,7,5,4,1,6]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,3,2,5,7,4,1,6]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,3,1,7,5,4,2,6]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,2,7,4,1,5,3,6]=>[8,5,7,6,2,4,3,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[6,1,3,8,7,5,4,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,6,1,8,7,5,4,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,8,1,5,7,6,4,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,5,2,8,7,6,4,1]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,4,8,2,7,6,5,1]=>[8,4,7,2,6,5,3,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[3,4,8,7,1,6,5,2]=>[8,5,7,6,2,4,3,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[8,1,3,5,7,6,4,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,1,8,5,7,6,3,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,2,7,1,4,5,6,3]=>[8,4,7,2,6,5,3,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,1,7,3,4,6,2,5]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,3,1,7,2,6,5,4]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[2,8,3,7,4,6,5,1]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,5,2,7,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[8,1,7,2,6,4,3,5]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,1,7,5,2,4,3,6]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,2,3,7,4,6,1,5]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[8,2,1,5,7,6,4,3]=>[8,3,2,7,6,5,4,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[6,2,1,8,7,5,4,3]=>[8,3,2,7,6,5,4,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[6,1,8,2,7,5,4,3]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,1,7,3,5,2,6,4]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,5,2,7,6,4,3]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,1,7,2,4,6,5,3]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,2,4,1,7,6,5,3]=>[8,4,7,2,6,5,3,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[4,2,8,3,7,6,5,1]=>[8,4,7,2,6,5,3,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,8,1,3,7,6,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,1,4,8,7,6,3,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,4,3,7,6,5,2]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[4,3,8,1,7,6,5,2]=>[8,4,7,2,6,5,3,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[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]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,5,7,2,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,8,1,3,2,7,4,6]=>[7,8,3,5,4,6,1,2]=>[2,1,6,4,5,3,8,7]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[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]=>[1,3,6,5,4,7,2,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[8,1,6,4,2,3,5,7]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,5,4,8,2,3,7,6]=>[1,6,5,8,3,2,7,4]=>[8,3,4,1,6,7,2,5]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[1,7,8,2,3,5,6,4]=>[1,8,7,4,5,6,3,2]=>[8,1,2,5,4,3,6,7]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[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]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,3,5,4,2,1,8,6]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,3,2,8,5,6,1,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,7,4,3,6,8,5,2]=>[1,8,7,4,5,6,3,2]=>[8,1,2,5,4,3,6,7]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[4,7,6,5,2,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,7,6,5,1,3,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,7,3,2,1,8,5,4]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[1,7,6,3,2,8,4,5]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[5,4,2,1,7,3,6,8]=>[6,4,3,2,7,1,5,8]=>[3,5,6,7,2,8,4,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[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]=>[3,7,6,1,4,8,2,5]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]
[3,7,4,1,6,5,2,8]=>[7,6,4,3,5,2,1,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[3,7,6,1,5,2,8,4]=>[6,8,5,4,3,1,7,2]=>[3,1,4,5,6,8,2,7]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[1,7,6,2,5,8,4,3]=>[1,8,7,4,5,6,3,2]=>[8,1,2,5,4,3,6,7]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[1,7,6,5,8,4,2,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[2,3,4,1,6,7,8,5]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[2,7,1,5,8,4,3,6]=>[3,8,1,7,6,5,4,2]=>[6,1,8,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[2,7,6,1,8,4,3,5]=>[4,8,7,1,6,5,3,2]=>[5,1,2,8,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[7,1,2,6,3,5,4,8]=>[7,2,3,6,5,4,1,8]=>[2,7,6,3,4,5,8,1]=>[[.,[[[.,.],.],[.,[.,[.,.]]]]],.]
[7,2,6,3,4,5,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[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]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[4,1,2,7,8,5,3,6]=>[7,2,3,8,6,5,1,4]=>[2,7,6,1,3,4,8,5]=>[[.,[[.,.],.]],[.,[.,[[.,.],.]]]]
[3,7,6,1,5,8,2,4]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[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]=>[1,7,2,5,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[4,2,7,1,3,8,6,5]=>[5,4,8,2,1,7,6,3]=>[4,5,1,7,8,2,3,6]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[5,2,1,4,7,8,3,6]=>[7,3,2,4,8,6,1,5]=>[2,6,7,5,1,3,8,4]=>[[.,[[.,[.,.]],.]],[.,[[.,.],.]]]
[5,6,2,7,3,4,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,1,3,8,5,4,7,2]=>[8,2,6,7,5,3,4,1]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[2,7,6,8,5,1,3,4]=>[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[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]=>[8,2,1,3,4,5,7,6]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[2,5,8,6,4,1,7,3]=>[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[6,7,3,1,5,4,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,4,6,5,1,2,7,8]=>[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[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]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[4,3,8,2,5,7,1,6]=>[7,4,8,2,5,6,1,3]=>[2,5,1,7,4,3,8,6]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[5,1,8,6,4,7,2,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,1,8,5,6,3,7,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,2,6,1,5,3,8,7]=>[6,4,5,2,3,1,8,7]=>[3,5,4,7,6,8,1,2]=>[[.,[[.,.],[[.,.],[.,.]]]],[.,.]]
[6,7,2,3,1,5,8,4]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,1,7,5,2,3,4,6]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,6,3,1,4,2,5,7]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,5,1,6,2,8,7,3]=>[8,5,3,4,2,7,6,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[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]=>[5,6,7,8,9,4,3,2,1]=>[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.]
[4,2,3,1,5,6,7,8,9]=>[4,3,2,1,5,6,7,8,9]=>[6,7,8,9,5,4,3,2,1]=>[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.]
[1,2,4,6,8,9,7,5,3]=>[1,2,9,8,7,6,5,4,3]=>[9,8,1,2,3,4,5,6,7]=>[[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,2,4,6,8,10,9,7,5,3]=>[1,2,10,9,8,7,6,5,4,3]=>[10,9,1,2,3,4,5,6,7,8]=>[[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,2,4,6,8,5,7,3]=>[1,2,8,6,7,4,5,3]=>[8,7,1,3,2,5,4,6]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[2,1,7,5,8,6,3,4]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,4,7,2,5,8,3,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,2,4,5,1,8,6,7]=>[5,2,3,4,1,8,7,6]=>[4,7,6,5,8,1,2,3]=>[[.,[[[.,.],.],[.,.]]],[.,[.,.]]]
[4,2,5,1,7,8,3,6]=>[7,4,3,2,8,6,1,5]=>[2,5,6,7,1,3,8,4]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]
[1,4,5,3,8,2,6,7]=>[1,6,4,3,8,2,7,5]=>[8,3,5,6,1,7,2,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[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]=>[8,3,4,1,6,7,2,5]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[3,5,1,4,7,8,2,6]=>[7,4,3,2,8,6,1,5]=>[2,5,6,7,1,3,8,4]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]
[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]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[3,6,2,4,8,7,1,5]=>[7,8,3,4,6,5,1,2]=>[2,1,6,5,3,4,8,7]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]
[4,7,3,2,6,8,1,5]=>[7,8,4,3,5,6,1,2]=>[2,1,5,6,4,3,8,7]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]
[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]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[1,5,6,8,3,7,2,4]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,1,5,8,3,4,7,2]=>[8,2,6,7,5,3,4,1]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,1,6,3,5,4,7,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,8,7,3,6,4,5,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,1,2,5,8,4,6,3]=>[8,2,3,7,6,5,4,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[6,2,4,8,1,7,3,5]=>[8,5,7,6,2,4,3,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[3,1,7,8,5,4,6,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,6,2,7,4,8,5,3]=>[1,8,3,7,5,6,4,2]=>[8,1,6,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[2,7,1,8,4,3,5,6]=>[3,8,1,7,6,5,4,2]=>[6,1,8,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[6,7,1,8,3,2,4,5]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,7,6,3,5,8,1,4]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,5,7,6,8,2,3,4]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[4,6,2,5,7,1,8,3]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[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]=>[5,1,2,8,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[6,1,5,8,3,2,7,4]=>[8,2,6,7,5,3,4,1]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[3,1,2,4,8,5,7,6]=>[3,2,1,4,8,6,7,5]=>[6,7,8,5,1,3,2,4]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]
[7,1,5,4,8,3,2,6]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,4,1,7,5,3,2,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[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]=>[8,1,6,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[5,3,8,4,1,2,6,7]=>[6,5,8,4,2,1,7,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[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]=>[2,4,1,5,7,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[7,6,5,2,1,8,4,3]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,7,5,1,8,3,6,4]=>[4,8,7,1,6,5,3,2]=>[5,1,2,8,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[5,1,8,7,4,3,6,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,7,1,3,2,4,8,6]=>[6,8,3,5,4,1,7,2]=>[3,1,6,4,5,8,2,7]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[4,2,7,6,3,5,8,1]=>[8,5,6,4,2,3,7,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,1,6,8,3,7,4,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[4,1,6,2,8,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[5,6,2,7,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[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]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[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]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,7,2,6,1,3,8,4]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[1,7,3,4,5,2,8,6]=>[1,8,6,4,5,3,7,2]=>[8,1,3,5,4,6,2,7]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[1,7,2,5,4,3,8,6]=>[1,8,3,6,5,4,7,2]=>[8,1,6,3,4,5,2,7]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[2,6,7,3,4,8,1,5]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[2,1,5,7,4,3,8,6]=>[2,1,6,8,5,3,7,4]=>[7,8,3,1,4,6,2,5]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]
[4,1,8,7,5,6,2,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,5,8,7,4,3,6,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,7,2,4,6,8,3,5]=>[1,8,3,7,5,6,4,2]=>[8,1,6,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[1,8,6,2,7,3,5,4]=>[1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,7,8,6,2,3,5,4]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,8,1,3,6,7,5,4]=>[3,8,1,4,7,6,5,2]=>[6,1,8,5,2,3,4,7]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[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]=>[.,[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]]
[3,2,4,5,6,7,8,1,9]=>[8,2,3,4,5,6,7,1,9]=>[2,8,7,6,5,4,3,9,1]=>[[.,[[[[[[.,.],.],.],.],.],[.,.]]],.]
[6,4,3,2,8,1,7,5]=>[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[6,2,4,3,8,1,7,5]=>[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[5,8,4,3,1,6,7,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[2,4,5,6,7,8,9,1,10,3]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[[.,.],.]]
[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]=>[2,4,5,6,7,8,9,1,10,3]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[[.,.],.]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[4,2,8,1,5,7,6,3]=>[8,4,7,2,5,6,3,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[6,3,7,2,5,4,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,4,7,3,2,6,8,1]=>[8,5,6,4,2,3,7,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[5,7,2,6,3,4,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,7,5,4,6,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,8,3,2,1,7,4,5]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,8,1,7,5,3,2,6]=>[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,6,5,3,8,2,1,7]=>[7,6,4,3,8,2,1,5]=>[2,3,5,6,1,7,8,4]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[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]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[3,2,8,7,6,4,1,5]=>[7,2,8,6,5,4,1,3]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[8,2,6,4,3,5,1,7]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,8,7,5,3,1,4,6]=>[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[2,5,6,3,1,4,8,7]=>[5,6,4,3,1,2,8,7]=>[4,3,5,6,8,7,1,2]=>[[[.,.],[.,[.,[[.,.],.]]]],[.,.]]
[2,4,7,8,5,3,1,6]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[6,5,3,2,4,1,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[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]=>[7,8,2,1,3,4,6,5]=>[[[.,[.,.]],.],[.,[.,[[.,.],.]]]]
[8,3,1,6,5,7,4,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,5,1,6,4,3,7,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,1,4,3,7,8,2,5]=>[8,2,7,4,5,6,3,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[6,1,2,7,5,8,3,4]=>[8,2,3,7,5,6,4,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[2,7,3,1,4,6,8,5]=>[4,8,3,1,5,6,7,2]=>[5,1,6,8,4,3,2,7]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]
[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]=>[1,3,6,5,2,7,4,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[2,1,8,7,5,4,6,3]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[6,4,7,5,2,8,3,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,2,6,3,1,5,8,4]=>[8,5,6,4,2,3,7,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[4,6,3,8,7,5,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,8,4,2,5,7,6,3]=>[1,8,7,4,5,6,3,2]=>[8,1,2,5,4,3,6,7]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[2,8,5,4,1,7,6,3]=>[5,8,7,4,1,6,3,2]=>[4,1,2,5,8,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,8,5,2,4,7,6,3]=>[1,8,7,4,5,6,3,2]=>[8,1,2,5,4,3,6,7]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[1,4,6,2,8,7,5,3]=>[1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[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]=>[5,1,2,8,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[2,8,4,5,1,7,6,3]=>[5,8,7,4,1,6,3,2]=>[4,1,2,5,8,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[2,1,6,8,7,5,3,4]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[1,8,2,4,5,7,6,3]=>[1,8,3,7,5,6,4,2]=>[8,1,6,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,2,8,3,5,7,6,4]=>[1,2,8,4,7,6,5,3]=>[8,7,1,5,2,3,4,6]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[1,3,8,2,5,7,6,4]=>[1,4,8,2,7,6,5,3]=>[8,5,1,7,2,3,4,6]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[2,3,8,1,5,7,6,4]=>[4,2,8,1,7,6,5,3]=>[5,7,1,8,2,3,4,6]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[2,6,1,8,7,5,3,4]=>[3,8,1,7,6,5,4,2]=>[6,1,8,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,6,2,8,7,5,3,4]=>[1,8,3,7,6,5,4,2]=>[8,1,6,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,6,3,8,7,5,2,4]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,6,3,8,7,5,1,4]=>[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[3,2,8,1,5,7,6,4]=>[4,2,8,1,7,6,5,3]=>[5,7,1,8,2,3,4,6]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[3,1,8,2,5,7,6,4]=>[4,2,8,1,7,6,5,3]=>[5,7,1,8,2,3,4,6]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[2,8,1,4,5,7,6,3]=>[3,8,1,7,5,6,4,2]=>[6,1,8,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[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]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[3,1,6,8,7,2,5,4]=>[6,2,8,7,5,1,4,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[3,8,4,5,1,6,2,7]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[6,1,4,5,7,2,3,8]=>[7,2,6,4,5,3,1,8]=>[2,7,3,5,4,6,8,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[8,1,4,7,6,3,2,5]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,3,1,6,4,7,2,5]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[1,5,8,4,6,2,3,7]=>[1,7,8,6,5,4,2,3]=>[8,2,1,3,4,5,7,6]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[2,1,6,5,3,8,4,7]=>[2,1,7,5,4,8,3,6]=>[7,8,2,4,5,1,6,3]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]
[5,7,4,8,1,2,3,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[8,7,1,5,6,2,3,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,6,5,8,7,2,3,4]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,7,1,6,2,4,8,5]=>[5,8,3,6,1,4,7,2]=>[4,1,6,3,8,5,2,7]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]
[5,1,2,7,6,8,3,4]=>[8,2,3,7,5,6,4,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[6,1,7,2,5,8,3,4]=>[8,2,7,4,5,6,3,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[1,7,6,5,8,2,3,4]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,6,8,5,7,2,3,4]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,7,2,5,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[1,6,3,8,7,2,4,5]=>[1,8,6,7,5,3,4,2]=>[8,1,3,2,4,6,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[1,7,3,2,4,6,8,5]=>[1,8,4,3,5,6,7,2]=>[8,1,5,6,4,3,2,7]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]
[3,1,2,7,8,4,6,5]=>[3,2,1,8,7,6,5,4]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[5,1,2,6,8,7,3,4]=>[8,2,3,7,6,5,4,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[1,8,6,2,5,7,3,4]=>[1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,1,6,8,5,2,3,4]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[9,1,2,3,4,5,6,7,8]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,10,9,4,5,6,7,8,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[10,1,2,3,4,5,6,7,8,9]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,7,4,8,2,5,3,6]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,1,8,2,4,6,3,5]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[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]=>[3,5,6,7,2,8,4,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[6,4,7,3,2,5,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[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]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,1,2,7,6,8,5,4]=>[3,2,1,8,7,6,5,4]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[6,3,2,8,4,5,1,7]=>[7,6,3,8,5,2,1,4]=>[2,3,6,1,4,7,8,5]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[6,1,8,3,5,4,2,7]=>[7,2,8,6,5,4,1,3]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[3,8,5,2,4,6,1,7]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[1,5,4,8,6,3,7,2]=>[1,8,6,7,5,3,4,2]=>[8,1,3,2,4,6,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[4,8,2,5,3,7,1,6]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[3,8,4,5,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,1,8,6,5,3,7,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,7,8,4,6,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,7,3,6,2,4,1]=>[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,3,5,4,2,8,6,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,6,1,3,2,4,7,8]=>[6,5,3,4,2,1,7,8]=>[3,4,6,5,7,8,2,1]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[2,5,1,3,7,8,6,4]=>[3,8,1,4,7,6,5,2]=>[6,1,8,5,2,3,4,7]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[4,3,7,2,1,8,6,5]=>[5,4,8,2,1,7,6,3]=>[4,5,1,7,8,2,3,6]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[4,6,7,2,1,3,5,8]=>[6,7,5,4,3,1,2,8]=>[3,2,4,5,6,8,7,1]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[4,6,2,3,1,5,7,8]=>[5,6,4,3,1,2,7,8]=>[4,3,5,6,8,7,2,1]=>[[[[.,.],[.,[.,[[.,.],.]]]],.],.]
[3,6,4,2,5,1,7,8]=>[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[3,1,6,4,7,5,2,8]=>[7,2,6,4,5,3,1,8]=>[2,7,3,5,4,6,8,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[3,6,2,7,5,4,1,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[2,5,7,3,4,1,6,8]=>[6,5,7,4,2,1,3,8]=>[3,4,2,5,7,8,6,1]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[2,3,5,8,6,4,7,1]=>[8,2,6,7,5,3,4,1]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[2,4,7,3,8,6,5,1]=>[8,4,7,2,6,5,3,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[3,1,5,4,7,8,6,2]=>[8,2,4,3,7,6,5,1]=>[1,7,5,6,2,3,4,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[4,5,7,2,3,1,8,6]=>[6,5,8,4,2,1,7,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,2,4,7,1,3,8,5]=>[8,5,6,4,2,3,7,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[7,3,5,1,4,2,8,6]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,4,7,1,3,2,8,6]=>[6,5,8,4,2,1,7,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,1,8,4,7,3,2,5]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,7,3,6,1,2,8,5]=>[6,8,5,4,3,1,7,2]=>[3,1,4,5,6,8,2,7]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[5,2,1,7,4,3,8,6]=>[6,3,2,8,5,1,7,4]=>[3,6,7,1,4,8,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[4,7,6,2,3,1,8,5]=>[6,8,5,4,3,1,7,2]=>[3,1,4,5,6,8,2,7]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[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]=>[5,7,1,8,2,3,4,6]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[2,6,8,7,5,3,1,4]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[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]=>[4,1,2,3,8,5,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[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]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[2,6,4,5,7,3,8,1]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[6,1,4,5,8,3,7,2]=>[8,2,6,4,7,3,5,1]=>[1,7,3,5,2,6,4,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[6,1,8,5,3,4,7,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,1,5,6,8,3,7,2]=>[8,2,6,4,7,3,5,1]=>[1,7,3,5,2,6,4,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[6,4,1,8,7,2,5,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,5,7,2,6,8,1,3]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[1,3,8,5,2,7,4,6]=>[1,5,8,7,2,6,4,3]=>[8,4,1,2,7,3,5,6]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[1,3,8,6,7,2,4,5]=>[1,6,8,7,5,2,4,3]=>[8,3,1,2,4,7,5,6]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]
[2,8,3,7,6,1,4,5]=>[6,8,3,7,5,1,4,2]=>[3,1,6,2,4,8,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[4,2,7,8,6,1,3,5]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[1,3,8,7,6,2,4,5]=>[1,6,8,7,5,2,4,3]=>[8,3,1,2,4,7,5,6]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]
[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]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[3,5,8,6,1,2,7,4]=>[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[4,2,6,8,7,1,3,5]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[1,4,6,8,7,2,3,5]=>[1,7,8,6,5,4,2,3]=>[8,2,1,3,4,5,7,6]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[4,5,3,8,1,7,2,6]=>[7,5,3,8,2,6,1,4]=>[2,4,6,1,7,3,8,5]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[3,5,8,4,1,7,2,6]=>[7,5,8,4,2,6,1,3]=>[2,4,1,5,7,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[1,6,5,7,8,2,3,4]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,4,8,2,3,7,1]=>[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[6,5,4,8,1,3,7,2]=>[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,1,2,7,4,5,3,6]=>[8,2,3,7,6,5,4,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[2,5,7,4,6,1,3,8]=>[6,7,5,4,3,1,2,8]=>[3,2,4,5,6,8,7,1]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[6,1,7,4,5,3,8,2]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[2,6,4,8,3,1,7,5]=>[6,8,5,7,3,1,4,2]=>[3,1,4,2,6,8,5,7]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[8,1,3,7,5,6,4,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,2,5,3,8,6,7,4]=>[1,2,8,4,7,6,5,3]=>[8,7,1,5,2,3,4,6]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[4,1,6,5,7,8,2,3]=>[8,2,7,4,5,6,3,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[1,3,8,2,5,6,7,4]=>[1,4,8,2,7,6,5,3]=>[8,5,1,7,2,3,4,6]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[1,8,6,7,2,5,4,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[4,5,7,3,6,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,5,6,3,8,2,7,1]=>[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[5,4,8,7,2,1,3,6]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[2,5,4,7,8,1,3,6]=>[6,7,3,8,5,1,2,4]=>[3,2,6,1,4,8,7,5]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]
[5,3,6,4,8,2,7,1]=>[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[5,3,7,4,6,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[7,4,6,1,5,2,8,3]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,4,6,2,8,3,7,1]=>[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[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]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[6,3,2,8,5,4,1,7]=>[7,6,3,8,5,2,1,4]=>[2,3,6,1,4,7,8,5]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[4,3,1,5,2,8,6,7]=>[5,3,2,4,1,8,7,6]=>[4,6,7,5,8,1,2,3]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]
[8,5,4,1,3,2,6,7]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[2,5,4,3,8,1,6,7]=>[6,4,3,2,8,1,7,5]=>[3,5,6,7,1,8,2,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[2,5,7,4,3,1,6,8]=>[6,5,7,4,2,1,3,8]=>[3,4,2,5,7,8,6,1]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[5,3,4,2,7,1,6,8]=>[6,4,3,2,7,1,5,8]=>[3,5,6,7,2,8,4,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[3,7,5,4,1,2,6,8]=>[6,7,5,4,3,1,2,8]=>[3,2,4,5,6,8,7,1]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[4,2,5,1,3,8,7,6]=>[5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[4,3,5,1,2,7,6,8]=>[5,4,3,2,1,7,6,8]=>[4,5,6,7,8,2,3,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[5,3,4,1,7,2,6,8]=>[6,4,3,2,7,1,5,8]=>[3,5,6,7,2,8,4,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[4,2,1,8,6,3,7,5]=>[6,3,2,8,7,1,5,4]=>[3,6,7,1,2,8,4,5]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]
[3,1,7,2,5,6,4,8]=>[4,2,7,1,6,5,3,8]=>[5,7,2,8,3,4,6,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[3,7,5,4,2,1,6,8]=>[6,7,5,4,3,1,2,8]=>[3,2,4,5,6,8,7,1]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[3,7,2,4,1,6,5,8]=>[5,7,3,4,1,6,2,8]=>[4,2,6,5,8,3,7,1]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[2,8,6,1,7,4,3,5]=>[4,8,7,1,6,5,3,2]=>[5,1,2,8,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[2,5,4,6,1,3,7,8]=>[5,6,3,4,1,2,7,8]=>[4,3,6,5,8,7,2,1]=>[[[[.,.],[[.,.],[[.,.],.]]],.],.]
[2,5,6,4,1,3,7,8]=>[5,6,4,3,1,2,7,8]=>[4,3,5,6,8,7,2,1]=>[[[[.,.],[.,[.,[[.,.],.]]]],.],.]
[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]=>[2,7,6,3,4,5,8,1]=>[[.,[[[.,.],.],[.,[.,[.,.]]]]],.]
[2,4,1,6,5,3,7,8]=>[3,6,1,5,4,2,7,8]=>[6,3,8,4,5,7,2,1]=>[[[[.,.],[[.,.],[.,[.,.]]]],.],.]
[4,1,2,7,5,6,3,8]=>[7,2,3,6,5,4,1,8]=>[2,7,6,3,4,5,8,1]=>[[.,[[[.,.],.],[.,[.,[.,.]]]]],.]
[7,1,2,6,5,4,3,8]=>[7,2,3,6,5,4,1,8]=>[2,7,6,3,4,5,8,1]=>[[.,[[[.,.],.],[.,[.,[.,.]]]]],.]
[8,2,1,5,6,3,7,4]=>[8,3,2,7,6,5,4,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[2,8,5,1,6,4,7,3]=>[4,8,7,1,6,5,3,2]=>[5,1,2,8,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[3,1,4,6,5,2,7,8]=>[6,2,3,5,4,1,7,8]=>[3,7,6,4,5,8,2,1]=>[[[.,[[[.,.],.],[.,[.,.]]]],.],.]
[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]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[6,3,8,4,5,1,2,7]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[5,2,3,1,4,8,6,7]=>[5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[5,4,1,3,2,8,6,7]=>[5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[5,1,3,4,2,8,6,7]=>[5,2,4,3,1,8,7,6]=>[4,7,5,6,8,1,2,3]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]
[5,2,1,4,3,8,6,7]=>[5,3,2,4,1,8,7,6]=>[4,6,7,5,8,1,2,3]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]
[4,2,7,3,8,5,1,6]=>[7,4,8,2,6,5,1,3]=>[2,5,1,7,3,4,8,6]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[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]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[5,3,1,2,4,8,6,7]=>[5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[5,4,3,1,2,8,6,7]=>[5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[5,3,4,1,2,8,6,7]=>[5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[5,2,3,4,1,8,6,7]=>[5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,5,2,8,1,6,7,4]=>[5,8,3,7,1,6,4,2]=>[4,1,6,2,8,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[3,1,7,8,2,5,4,6]=>[5,2,8,7,1,6,4,3]=>[4,7,1,2,8,3,5,6]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[6,3,7,4,1,2,5,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[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]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[3,6,7,5,1,2,4,8]=>[6,7,5,4,3,1,2,8]=>[3,2,4,5,6,8,7,1]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[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]=>[7,8,4,1,6,2,3,5]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]
[4,8,1,6,7,3,2,5]=>[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[1,2,7,8,4,3,6,5]=>[1,2,8,7,6,5,4,3]=>[8,7,1,2,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[5,8,1,4,3,2,7,6]=>[6,8,3,5,4,1,7,2]=>[3,1,6,4,5,8,2,7]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,5,4,2,3,1,8,6]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,5,6,4,8,1,7,2]=>[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[3,5,4,6,7,1,8,2]=>[8,6,3,4,5,2,7,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[1,4,2,6,5,8,7,3]=>[1,8,3,5,4,7,6,2]=>[8,1,6,4,5,2,3,7]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[1,4,2,5,3,8,7,6]=>[1,5,3,4,2,8,7,6]=>[8,4,6,5,7,1,2,3]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]
[1,5,2,6,4,8,7,3]=>[1,8,3,5,4,7,6,2]=>[8,1,6,4,5,2,3,7]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[1,6,2,5,3,8,7,4]=>[1,8,3,5,4,7,6,2]=>[8,1,6,4,5,2,3,7]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[2,5,1,4,3,8,7,6]=>[3,5,1,4,2,8,7,6]=>[6,4,8,5,7,1,2,3]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]
[1,7,3,5,4,8,6,2]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,8,2,6,3,7,5,4]=>[1,8,3,7,5,6,4,2]=>[8,1,6,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,8,3,6,4,7,5,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,7,2,6,4,8,5,3]=>[1,8,3,7,5,6,4,2]=>[8,1,6,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,7,2,6,3,8,5,4]=>[1,8,3,7,5,6,4,2]=>[8,1,6,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,5,2,7,4,8,6,3]=>[1,8,3,7,5,6,4,2]=>[8,1,6,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,4,2,8,5,7,6,3]=>[1,8,3,7,5,6,4,2]=>[8,1,6,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[4,8,1,3,2,6,5,7]=>[5,8,3,4,1,7,6,2]=>[4,1,6,5,8,2,3,7]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[1,5,3,8,4,7,6,2]=>[1,8,5,7,3,6,4,2]=>[8,1,4,2,6,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,8,4,7,3,6,5,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,6,3,8,1,5,4,7]=>[5,7,3,8,1,6,2,4]=>[4,2,6,1,8,3,7,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[8,3,1,4,2,6,5,7]=>[8,5,3,4,2,7,6,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,3,1,5,4,2,7]=>[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]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[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]=>[3,1,4,5,6,8,2,7]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[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]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[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]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[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]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[2,7,8,6,4,1,3,5]=>[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[7,6,3,5,2,8,4,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,1,6,3,4,8,2,7]=>[7,2,5,4,3,8,1,6]=>[2,7,4,5,6,1,8,3]=>[[.,[[.,.],[.,[.,.]]]],[[.,.],.]]
[3,5,2,4,8,1,7,6]=>[6,4,3,2,8,1,7,5]=>[3,5,6,7,1,8,2,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[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]=>[2,4,5,6,7,1,8,3]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[6,5,3,1,4,8,2,7]=>[7,5,4,3,2,8,1,6]=>[2,4,5,6,7,1,8,3]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[3,1,7,8,6,4,2,5]=>[7,2,8,6,5,4,1,3]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[3,8,1,7,6,2,5,4]=>[6,8,3,7,5,1,4,2]=>[3,1,6,2,4,8,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[8,1,7,6,4,2,5,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,1,5,2,4,8,3,7]=>[7,2,5,4,3,8,1,6]=>[2,7,4,5,6,1,8,3]=>[[.,[[.,.],[.,[.,.]]]],[[.,.],.]]
[1,5,6,3,8,2,4,7]=>[1,7,6,4,8,3,2,5]=>[8,2,3,5,1,6,7,4]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]
[8,7,1,3,6,5,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,6,7,4,3,8,5,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,4,8,7,3,6,5,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[4,1,6,2,8,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[3,2,6,1,5,8,4,7]=>[4,2,7,1,5,8,3,6]=>[5,7,2,8,4,1,6,3]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]
[7,2,1,5,8,4,3,6]=>[8,3,2,7,6,5,4,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[7,2,8,1,4,3,6,5]=>[8,4,7,2,6,5,3,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[1,7,8,3,2,6,5,4]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,7,4,8,3,2,6,5]=>[1,8,6,7,5,3,4,2]=>[8,1,3,2,4,6,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[1,7,5,4,8,3,2,6]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,1,5,4,3,8,2,7]=>[7,2,5,4,3,8,1,6]=>[2,7,4,5,6,1,8,3]=>[[.,[[.,.],[.,[.,.]]]],[[.,.],.]]
[1,7,4,5,6,8,2,3]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,6,4,2,3,5,7,8]=>[1,6,5,4,3,2,7,8]=>[8,3,4,5,6,7,2,1]=>[[[[.,.],[.,[.,[.,[.,.]]]]],.],.]
[1,8,7,2,3,4,5,6]=>[1,8,7,4,5,6,3,2]=>[8,1,2,5,4,3,6,7]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[1,5,8,6,2,3,4,7]=>[1,7,8,6,5,4,2,3]=>[8,2,1,3,4,5,7,6]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[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]=>[8,6,7,2,3,4,5,1]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]
[1,2,3,7,6,4,5,8]=>[1,2,3,7,6,5,4,8]=>[8,7,6,2,3,4,5,1]=>[[[[[.,.],.],.],[.,[.,[.,.]]]],.]
[1,5,4,2,3,7,6,8]=>[1,5,4,3,2,7,6,8]=>[8,4,5,6,7,2,3,1]=>[[[[.,.],[.,[.,[.,.]]]],[.,.]],.]
[1,5,4,2,3,8,6,7]=>[1,5,4,3,2,8,7,6]=>[8,4,5,6,7,1,2,3]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]
[1,3,2,8,6,4,5,7]=>[1,3,2,8,7,6,5,4]=>[8,6,7,1,2,3,4,5]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]
[1,7,5,8,2,3,4,6]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,7,5,2,3,4,6]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,1,5,8,6,3,7,4]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,5,3,8,6,1,7,4]=>[6,8,3,7,5,1,4,2]=>[3,1,6,2,4,8,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[2,6,3,5,8,1,7,4]=>[6,8,3,4,7,1,5,2]=>[3,1,6,5,2,8,4,7]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[6,3,2,5,8,1,7,4]=>[8,6,3,4,7,2,5,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[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]=>[3,1,5,6,2,8,4,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[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]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[2,4,8,1,7,6,5,3]=>[4,8,7,1,6,5,3,2]=>[5,1,2,8,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[4,3,8,1,5,7,6,2]=>[8,4,7,2,5,6,3,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[4,3,6,8,5,2,7,1]=>[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[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]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[3,6,4,1,8,2,7,5]=>[6,8,4,3,7,1,5,2]=>[3,1,5,6,2,8,4,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[3,6,4,1,5,2,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[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]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[5,6,2,4,7,1,8,3]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[2,7,5,4,6,1,8,3]=>[6,8,5,4,3,1,7,2]=>[3,1,4,5,6,8,2,7]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[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]=>[4,1,3,5,8,6,2,7]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]
[6,5,7,4,1,3,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[2,3,6,1,5,7,8,4]=>[4,2,8,1,5,6,7,3]=>[5,7,1,8,4,3,2,6]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]
[2,6,4,1,5,7,8,3]=>[4,8,5,1,3,6,7,2]=>[5,1,4,8,6,3,2,7]=>[[.,.],[[[.,[[.,.],.]],.],[.,.]]]
[2,4,1,6,5,7,8,3]=>[3,8,1,5,4,6,7,2]=>[6,1,8,4,5,3,2,7]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]
[7,5,4,2,6,1,8,3]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[4,2,7,5,3,1,8,6]=>[6,5,8,4,2,1,7,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[5,3,6,4,8,2,1,7]=>[7,6,4,3,8,2,1,5]=>[2,3,5,6,1,7,8,4]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[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]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[4,7,3,8,6,2,1,5]=>[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,7,3,2,6,4,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[2,7,5,3,1,8,6,4]=>[5,8,7,4,1,6,3,2]=>[4,1,2,5,8,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[7,5,2,8,4,3,1,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,3,2,4,1,8,6,5]=>[8,5,3,4,2,7,6,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[8,4,3,2,7,5,1,6]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[8,4,5,3,7,2,1,6]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,3,5,2,8,6,1,7]=>[7,4,3,2,8,6,1,5]=>[2,5,6,7,1,3,8,4]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]
[4,5,3,6,8,2,1,7]=>[7,6,3,4,8,2,1,5]=>[2,3,6,5,1,7,8,4]=>[[.,[.,[[.,.],.]]],[[.,[.,.]],.]]
[1,2,3,4,5,9,7,8,6]=>[1,2,3,4,5,9,8,7,6]=>[9,8,7,6,5,1,2,3,4]=>[[[[[[.,.],.],.],.],.],[.,[.,[.,.]]]]
[1,2,3,4,9,6,7,8,5]=>[1,2,3,4,9,8,7,6,5]=>[9,8,7,6,1,2,3,4,5]=>[[[[[.,.],.],.],.],[.,[.,[.,[.,.]]]]]
[1,2,3,4,5,6,10,8,9,7]=>[1,2,3,4,5,6,10,9,8,7]=>[10,9,8,7,6,5,1,2,3,4]=>[[[[[[[.,.],.],.],.],.],.],[.,[.,[.,.]]]]
[1,2,3,4,9,7,6,8,5]=>[1,2,3,4,9,8,7,6,5]=>[9,8,7,6,1,2,3,4,5]=>[[[[[.,.],.],.],.],[.,[.,[.,[.,.]]]]]
[1,2,3,4,5,10,7,8,9,6]=>[1,2,3,4,5,10,9,8,7,6]=>[10,9,8,7,6,1,2,3,4,5]=>[[[[[[.,.],.],.],.],.],[.,[.,[.,[.,.]]]]]
[1,2,8,6,4,5,7,3]=>[1,2,8,7,6,5,4,3]=>[8,7,1,2,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,8,5,3,4,6,7,2]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[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]=>[4,7,2,5,8,1,6,3]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]
[2,8,6,5,3,1,4,7]=>[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[5,4,8,6,2,3,1,7]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[4,8,7,5,2,3,1,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[3,4,2,8,7,5,1,6]=>[7,3,2,8,6,5,1,4]=>[2,6,7,1,3,4,8,5]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,8,5,4,2,7,3,6]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[3,7,6,1,5,8,4,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,7,2,5,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[6,4,7,1,3,2,8,5]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,1,3,8,7,2,6,4]=>[8,2,6,7,5,3,4,1]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[8,7,1,6,2,5,3,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,8,5,2,4,7,6,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,1,5,2,4,8,3,6]=>[8,2,7,4,5,6,3,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[3,8,5,1,4,7,2,6]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[7,2,5,4,1,3,8,6]=>[8,5,6,4,2,3,7,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,8,2,3,4,5,6,7,9]=>[1,8,3,4,5,6,7,2,9]=>[9,2,7,6,5,4,3,8,1]=>[[[.,.],[[[[[.,.],.],.],.],[.,.]]],.]
[7,4,6,1,3,2,5,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[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]=>[2,3,6,5,4,7,8,1]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[8,1,7,5,3,6,2,4]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,3,5,1,6,7,8,2]=>[8,4,3,2,5,6,7,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,[.,[.,.]]],.],.],[.,.]]]
[5,7,6,1,2,3,8,4]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,6,7,5,1,2,8,4]=>[6,8,5,4,3,1,7,2]=>[3,1,4,5,6,8,2,7]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[1,7,6,8,5,2,4,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,3,2,1,8,6,4,7]=>[7,4,3,2,8,6,1,5]=>[2,5,6,7,1,3,8,4]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]
[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]=>[8,9,1,2,3,4,5,6,7]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[8,9,1,2,3,4,5,6,7]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,1,9,8,5,7,6,4,3]=>[2,1,9,8,7,6,5,4,3]=>[8,9,1,2,3,4,5,6,7]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,1,10,9,8,6,7,5,4,3]=>[2,1,10,9,8,7,6,5,4,3]=>[9,10,1,2,3,4,5,6,7,8]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,1,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[10,11,1,2,3,4,5,6,7,8,9]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[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]=>[8,9,2,3,4,5,6,7,1]=>[[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]],.]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,8,4,3,2,6,7,5]=>[1,8,5,4,3,7,6,2]=>[8,1,4,5,6,2,3,7]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[5,4,3,8,2,1,7,6]=>[6,5,3,8,2,1,7,4]=>[3,4,6,1,7,8,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[6,4,8,3,2,1,7,5]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[1,8,4,3,2,7,6,5]=>[1,8,5,4,3,7,6,2]=>[8,1,4,5,6,2,3,7]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,8,6,1,3,2,4,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,8,4,3,2,7,5,6]=>[1,8,5,4,3,7,6,2]=>[8,1,4,5,6,2,3,7]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[5,4,3,8,2,1,6,7]=>[6,5,3,8,2,1,7,4]=>[3,4,6,1,7,8,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[1,8,4,3,2,5,7,6]=>[1,8,5,4,3,6,7,2]=>[8,1,4,5,6,3,2,7]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[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]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[5,2,3,7,4,8,1,6]=>[7,5,3,8,2,6,1,4]=>[2,4,6,1,7,3,8,5]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[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]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[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]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[5,8,2,3,4,7,1,6]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,8,5,1,3,6,7,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,7,2,5,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[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]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[3,5,1,8,4,6,2,7]=>[7,5,3,8,2,6,1,4]=>[2,4,6,1,7,3,8,5]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[4,1,2,6,5,8,3,7]=>[7,2,3,5,4,8,1,6]=>[2,7,6,4,5,1,8,3]=>[[.,[[[.,.],.],[.,.]]],[[.,.],.]]
[4,1,8,3,2,6,7,5]=>[5,2,8,4,1,7,6,3]=>[4,7,1,5,8,2,3,6]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[4,6,1,3,8,2,5,7]=>[6,7,3,4,8,1,2,5]=>[3,2,6,5,1,8,7,4]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]
[4,3,6,2,1,8,7,5]=>[5,4,8,2,1,7,6,3]=>[4,5,1,7,8,2,3,6]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[3,7,4,5,1,6,2,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[3,6,4,5,8,2,1,7]=>[7,6,4,3,8,2,1,5]=>[2,3,5,6,1,7,8,4]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[7,5,4,1,6,3,2,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[6,3,1,8,4,7,2,5]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,1,4,8,6,3,2,5]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,1,8,5,6,7,2,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[4,3,6,8,2,7,1,5]=>[7,5,8,6,2,4,1,3]=>[2,4,1,3,7,5,8,6]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[5,3,8,4,1,6,2,7]=>[7,5,8,4,2,6,1,3]=>[2,4,1,5,7,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[5,3,8,1,4,7,2,6]=>[7,5,8,4,2,6,1,3]=>[2,4,1,5,7,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,2,5,6,7,3,4]=>[1,8,3,7,6,5,4,2]=>[8,1,6,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[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]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[5,1,3,7,4,8,2,6]=>[7,2,5,8,3,6,1,4]=>[2,7,4,1,6,3,8,5]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[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]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[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]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[4,5,2,3,8,6,1,7]=>[7,4,3,2,8,6,1,5]=>[2,5,6,7,1,3,8,4]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]
[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]=>[2,1,6,5,3,4,8,7]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]
[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]=>[3,5,6,7,1,8,2,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[4,3,8,5,1,2,7,6]=>[6,5,8,4,2,1,7,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[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]=>[3,4,6,1,7,8,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[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]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,6,3,8,2,7,4,5]=>[1,8,5,7,3,6,4,2]=>[8,1,4,2,6,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,4,2,7,5,8,3,6]=>[1,7,3,8,5,6,2,4]=>[8,2,6,1,4,3,7,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[1,8,2,3,6,7,5,4]=>[1,8,3,4,7,6,5,2]=>[8,1,6,5,2,3,4,7]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[1,3,6,8,2,7,5,4]=>[1,5,8,7,2,6,4,3]=>[8,4,1,2,7,3,5,6]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[1,8,3,4,5,6,2,7]=>[1,8,7,4,5,6,3,2]=>[8,1,2,5,4,3,6,7]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[1,8,3,6,2,4,5,7]=>[1,8,5,7,3,6,4,2]=>[8,1,4,2,6,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,4,5,8,3,6,2,7]=>[1,7,5,8,3,6,2,4]=>[8,2,4,1,6,3,7,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[1,2,7,8,4,5,3,6]=>[1,2,8,7,6,5,4,3]=>[8,7,1,2,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[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]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[1,4,7,3,2,6,8,5]=>[1,5,8,4,2,6,7,3]=>[8,4,1,5,7,3,2,6]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]
[3,6,2,7,1,5,4,8]=>[5,7,3,6,1,4,2,8]=>[4,2,6,3,8,5,7,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[1,2,5,4,8,3,7,6]=>[1,2,6,4,8,3,7,5]=>[8,7,3,5,1,6,2,4]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]
[1,4,3,5,8,2,7,6]=>[1,6,3,4,8,2,7,5]=>[8,3,6,5,1,7,2,4]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]
[1,5,3,7,6,8,2,4]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,6,4,5,7,8,2,3]=>[1,8,7,4,5,6,3,2]=>[8,1,2,5,4,3,6,7]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[3,2,5,7,6,8,1,4]=>[7,2,8,5,4,6,1,3]=>[2,7,1,4,5,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[3,2,4,6,8,7,1,5]=>[7,2,3,8,6,5,1,4]=>[2,7,6,1,3,4,8,5]=>[[.,[[.,.],.]],[.,[.,[[.,.],.]]]]
[5,3,2,6,8,4,7,1]=>[8,6,3,4,7,2,5,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[3,1,8,6,4,7,2,5]=>[7,2,8,6,5,4,1,3]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[3,1,6,8,5,4,2,7]=>[7,2,6,8,5,3,1,4]=>[2,7,3,1,4,6,8,5]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]
[5,3,2,8,7,6,4,1]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[4,3,8,7,2,6,5,1]=>[8,5,7,6,2,4,3,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[2,7,5,1,8,4,6,3]=>[4,8,7,1,6,5,3,2]=>[5,1,2,8,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[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]=>[2,3,6,1,4,7,8,5]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[2,4,5,8,6,7,1,3]=>[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[4,3,1,5,6,2,8,7]=>[6,3,2,4,5,1,8,7]=>[3,6,7,5,4,8,1,2]=>[[.,[[[.,[.,.]],.],[.,.]]],[.,.]]
[4,1,5,8,6,7,2,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,3,7,6,1,2,8,5]=>[6,5,8,4,2,1,7,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[4,7,5,6,1,2,8,3]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,3,7,5,6,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,5,1,8,6,7,3,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,4,5,8,6,7,2,1]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,1,5,8,6,7,4,3]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[3,4,5,8,7,1,2,6]=>[7,6,3,8,5,2,1,4]=>[2,3,6,1,4,7,8,5]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[2,6,4,7,1,3,8,5]=>[5,8,6,4,1,3,7,2]=>[4,1,3,5,8,6,2,7]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]
[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]=>[3,1,4,5,6,8,2,7]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[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]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[3,8,6,5,1,7,2,4]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[2,1,6,5,3,7,8,4]=>[2,1,8,5,4,6,7,3]=>[7,8,1,4,5,3,2,6]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[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]=>[9,7,8,6,5,4,3,1,2]=>[[[[[[[.,.],[.,.]],.],.],.],.],[.,.]]
[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]=>[8,2,6,4,5,1,7,3]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]
[4,1,2,7,5,8,3,6]=>[7,2,3,8,5,6,1,4]=>[2,7,6,1,4,3,8,5]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[5,6,4,3,1,8,2,7]=>[7,5,4,3,2,8,1,6]=>[2,4,5,6,7,1,8,3]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[6,2,3,5,8,1,4,7]=>[7,6,3,4,8,2,1,5]=>[2,3,6,5,1,7,8,4]=>[[.,[.,[[.,.],.]]],[[.,[.,.]],.]]
[6,7,2,3,8,4,5,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,1,7,5,8,3,6,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,7,1,3,8,4,5,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,6,7,4,3,8,5,2]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[6,1,7,4,2,8,5,3]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[2,1,6,7,4,3,8,5]=>[2,1,8,6,5,4,7,3]=>[7,8,1,3,4,5,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[6,7,3,2,1,8,4,5]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,5,7,3,1,4,8,6]=>[5,6,8,4,1,2,7,3]=>[4,3,1,5,8,7,2,6]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]
[6,7,3,2,8,4,5,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,2,6,7,4,3,8,5]=>[1,2,8,6,5,4,7,3]=>[8,7,1,3,4,5,2,6]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]
[2,7,1,8,4,6,3,5]=>[3,8,1,7,6,5,4,2]=>[6,1,8,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[2,7,5,8,1,6,3,4]=>[5,8,7,6,1,4,3,2]=>[4,1,2,3,8,5,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[6,7,1,8,4,5,3,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[8,2,4,7,1,5,6,3]=>[8,5,7,6,2,4,3,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[8,2,3,4,7,1,5,6]=>[8,6,3,4,7,2,5,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,4,5,8,3,1,6,7]=>[6,5,3,8,2,1,7,4]=>[3,4,6,1,7,8,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[2,7,4,6,1,5,8,3]=>[5,8,6,4,1,3,7,2]=>[4,1,3,5,8,6,2,7]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]
[2,4,3,8,5,1,6,7]=>[6,3,2,8,5,1,7,4]=>[3,6,7,1,4,8,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[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]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,6,5,4,8,3,2,7]=>[1,7,6,4,8,3,2,5]=>[8,2,3,5,1,6,7,4]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]
[1,7,3,5,8,4,6,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[3,1,8,7,6,4,2,5]=>[7,2,8,6,5,4,1,3]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[3,1,8,7,5,4,2,6]=>[7,2,8,6,5,4,1,3]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[4,7,1,6,5,3,2,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[4,8,1,6,5,3,2,7]=>[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[8,4,1,7,6,3,2,5]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,4,1,8,6,3,2,7]=>[7,6,3,8,5,2,1,4]=>[2,3,6,1,4,7,8,5]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[5,4,1,7,6,3,2,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[6,4,1,8,5,3,2,7]=>[7,6,3,8,5,2,1,4]=>[2,3,6,1,4,7,8,5]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[8,4,1,7,5,3,2,6]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,4,1,6,5,3,2,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[7,5,6,1,4,3,2,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[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]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,7,5,1,4,3,2,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,8,6,3,4,2,5,7]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,1,6,4,5,8,2,7]=>[7,2,5,4,3,8,1,6]=>[2,7,4,5,6,1,8,3]=>[[.,[[.,.],[.,[.,.]]]],[[.,.],.]]
[3,1,6,4,5,7,2,8]=>[7,2,5,4,3,6,1,8]=>[2,7,4,5,6,3,8,1]=>[[.,[[[.,.],[.,[.,.]]],[.,.]]],.]
[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]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[5,2,7,8,1,4,3,6]=>[7,5,8,6,2,4,1,3]=>[2,4,1,3,7,5,8,6]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[5,6,3,8,4,1,2,7]=>[7,6,5,8,3,2,1,4]=>[2,3,4,1,6,7,8,5]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[8,2,7,6,1,4,5,3]=>[8,5,7,6,2,4,3,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[5,2,3,4,7,1,6,8]=>[6,4,3,2,7,1,5,8]=>[3,5,6,7,2,8,4,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[5,2,3,7,1,6,8,4]=>[8,5,3,6,2,4,7,1]=>[1,4,6,3,7,5,2,8]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[5,2,3,4,7,8,1,6]=>[7,4,3,2,8,6,1,5]=>[2,5,6,7,1,3,8,4]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]
[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]=>[8,2,1,3,4,5,7,6]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[5,8,3,7,6,4,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,6,7,1,4,2,5,8]=>[6,7,5,4,3,1,2,8]=>[3,2,4,5,6,8,7,1]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[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]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[6,5,1,8,3,7,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,8,7,5,3,2,6,4]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,8,1,5,4,2,3,6]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,7,5,1,4,6,3,8]=>[4,7,6,1,5,3,2,8]=>[5,2,3,8,4,6,7,1]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,8,1,7,5,4,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,6,3,1,2,8,5,4]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,3,5,7,1,4,2,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,2,6,7,4,8,1,3]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[1,7,5,2,6,4,8,3]=>[1,8,6,4,5,3,7,2]=>[8,1,3,5,4,6,2,7]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[7,1,3,6,8,2,4,5]=>[8,2,6,7,5,3,4,1]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[1,2,5,7,8,4,6,3]=>[1,2,8,7,6,5,4,3]=>[8,7,1,2,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[3,1,2,7,5,4,8,6]=>[3,2,1,8,6,5,7,4]=>[6,7,8,1,3,4,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[6,7,4,1,3,2,8,5]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[1,7,2,8,4,3,5,6]=>[1,8,3,7,6,5,4,2]=>[8,1,6,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,6,3,5,7,8,2,4]=>[1,8,7,4,5,6,3,2]=>[8,1,2,5,4,3,6,7]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[8,6,1,7,5,2,4,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,2,1,5,7,8,3,6]=>[7,3,2,4,8,6,1,5]=>[2,6,7,5,1,3,8,4]=>[[.,[[.,[.,.]],.]],[.,[[.,.],.]]]
[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]=>[1,7,2,5,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[8,1,4,6,5,2,7,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,2,1,6,7,5,4,3]=>[8,3,2,7,6,5,4,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[1,2,4,7,6,3,8,5]=>[1,2,6,8,5,3,7,4]=>[8,7,3,1,4,6,2,5]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]
[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]=>[3,5,6,7,2,8,4,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[1,2,8,7,4,3,6,5]=>[1,2,8,7,6,5,4,3]=>[8,7,1,2,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[3,2,1,7,5,8,4,6]=>[3,2,1,8,7,6,5,4]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[1,3,6,4,7,8,2,5]=>[1,7,8,4,5,6,2,3]=>[8,2,1,5,4,3,7,6]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]
[4,5,1,3,7,8,2,6]=>[7,4,3,2,8,6,1,5]=>[2,5,6,7,1,3,8,4]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]
[5,2,3,1,7,8,4,6]=>[7,4,3,2,8,6,1,5]=>[2,5,6,7,1,3,8,4]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]
[1,6,4,3,7,8,2,5]=>[1,8,7,4,5,6,3,2]=>[8,1,2,5,4,3,6,7]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[7,6,4,3,1,5,2,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,5,4,6,1,3,2,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[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]=>[8,1,2,5,4,3,6,7]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[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]=>[8,4,6,5,7,1,2,3]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]
[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]=>[8,1,3,2,4,6,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[7,5,4,2,6,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,8,6,5,4,3,2,9,1]=>[9,7,6,5,4,3,2,8,1]=>[1,3,4,5,6,7,8,2,9]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[2,4,3,5,6,7,8,9,1]=>[9,3,2,4,5,6,7,8,1]=>[1,7,8,6,5,4,3,2,9]=>[.,[[[[[[.,[.,.]],.],.],.],.],[.,.]]]
[2,3,8,4,7,5,6,1]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[3,7,2,8,6,4,5,1]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[3,1,6,2,4,8,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[2,4,7,8,6,1,5,3]=>[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[2,4,8,5,1,7,3,6]=>[5,7,8,4,1,6,2,3]=>[4,2,1,5,8,3,7,6]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]
[2,8,3,5,1,6,4,7]=>[5,8,3,7,1,6,4,2]=>[4,1,6,2,8,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[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]=>[3,4,6,1,7,8,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[5,2,7,1,3,8,6,4]=>[8,4,7,2,5,6,3,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[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]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[1,7,4,6,8,3,5,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,2,4,1,5,8,6,3]=>[8,4,7,2,5,6,3,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[7,8,2,1,5,4,6,3]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[1,8,5,3,2,6,4,7]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[5,2,8,6,3,1,7,4]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[6,2,3,5,1,8,7,4]=>[8,5,3,4,2,7,6,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[7,6,3,4,2,8,1,5]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,8,3,2,4,6,7,5]=>[1,8,4,3,5,7,6,2]=>[8,1,5,6,4,2,3,7]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]
[1,2,7,5,3,4,6,8]=>[1,2,7,6,5,4,3,8]=>[8,7,2,3,4,5,6,1]=>[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]
[1,2,7,4,5,3,8,6]=>[1,2,8,6,5,4,7,3]=>[8,7,1,3,4,5,2,6]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]
[8,2,7,1,4,3,5,6]=>[8,4,7,2,6,5,3,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,2,1,7,8,3,4,5]=>[8,3,2,7,6,5,4,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[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]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[1,8,4,2,7,6,3,5]=>[1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,3,7,6,5,4,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,4,1,8,7,3,6,5]=>[3,6,1,8,7,2,5,4]=>[6,3,8,1,2,7,4,5]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]
[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]=>[3,1,6,2,4,8,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[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]=>[2,3,5,6,1,7,8,4]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[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]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[3,4,6,2,1,8,5,7]=>[5,4,7,2,1,8,3,6]=>[4,5,2,7,8,1,6,3]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]
[5,6,4,8,3,2,1,7]=>[7,6,5,8,3,2,1,4]=>[2,3,4,1,6,7,8,5]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,7,4,1,6,2,8,3]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[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]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[7,1,4,6,8,3,5,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[8,1,2,5,4,3,6,7]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,8,2,6,7,3,4,5]=>[1,8,3,7,6,5,4,2]=>[8,1,6,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[4,7,3,2,8,1,5,6]=>[6,8,4,3,7,1,5,2]=>[3,1,5,6,2,8,4,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[7,1,2,6,3,8,5,4]=>[8,2,3,7,5,6,4,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[8,1,2,6,3,7,5,4]=>[8,2,3,7,5,6,4,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[8,1,2,7,6,3,5,4]=>[8,2,3,7,6,5,4,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[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]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[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]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[4,3,7,2,8,6,1,5]=>[7,4,8,2,6,5,1,3]=>[2,5,1,7,3,4,8,6]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[6,1,2,7,4,3,8,5]=>[8,2,3,6,5,4,7,1]=>[1,7,6,3,4,5,2,8]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[5,1,2,7,3,8,6,4]=>[8,2,3,7,5,6,4,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[6,1,2,7,3,5,8,4]=>[8,2,3,6,5,4,7,1]=>[1,7,6,3,4,5,2,8]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[6,1,2,8,3,5,7,4]=>[8,2,3,7,5,6,4,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[7,5,3,2,1,8,6,4]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,2,1,5,3,6,7,8]=>[5,3,2,4,1,6,7,8]=>[4,6,7,5,8,3,2,1]=>[[[[.,[[.,[.,.]],[.,.]]],.],.],.]
[7,5,3,1,8,6,4,2,9]=>[8,7,6,4,5,3,2,1,9]=>[2,3,4,6,5,7,8,9,1]=>[[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]],.]
[3,1,4,2,5,6,7,8,9]=>[4,2,3,1,5,6,7,8,9]=>[6,8,7,9,5,4,3,2,1]=>[[[[[[.,[[.,.],[.,.]]],.],.],.],.],.]
[6,2,5,4,1,8,7,3]=>[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[4,6,3,2,1,8,7,5]=>[5,8,4,3,1,7,6,2]=>[4,1,5,6,8,2,3,7]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[6,5,3,2,1,8,7,4]=>[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,2,7,4,8,6,1,5]=>[7,2,8,4,6,5,1,3]=>[2,7,1,5,3,4,8,6]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[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]=>[2,3,4,1,6,7,8,5]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[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]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,5,3,2,8,6,1,7]=>[7,4,3,2,8,6,1,5]=>[2,5,6,7,1,3,8,4]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]
[3,2,8,6,5,4,1,7]=>[7,2,8,6,5,4,1,3]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[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]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[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]=>[2,1,6,5,3,4,8,7]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]
[5,8,1,3,7,2,6,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[3,4,8,1,7,5,6,2]=>[8,4,7,2,6,5,3,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,2,5,1,8,3,6,4]=>[8,4,7,2,6,5,3,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,2,1,5,8,4,6,3]=>[8,3,2,7,6,5,4,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[4,2,8,1,7,5,6,3]=>[8,4,7,2,6,5,3,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[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]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,1,6,4,8,3,5,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[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]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[2,8,4,1,3,6,7,5]=>[4,8,5,1,3,7,6,2]=>[5,1,4,8,6,2,3,7]=>[[.,.],[[.,[[.,.],.]],[.,[.,.]]]]
[8,1,2,4,5,6,7,3]=>[8,2,3,7,5,6,4,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[1,8,3,6,7,2,4,5]=>[1,8,6,7,5,3,4,2]=>[8,1,3,2,4,6,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[1,2,8,3,7,4,6,5]=>[1,2,8,4,7,6,5,3]=>[8,7,1,5,2,3,4,6]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,6,7,2,1,8,3,5]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[3,7,1,8,2,5,4,6]=>[5,8,3,7,1,6,4,2]=>[4,1,6,2,8,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,6,7,2,1,8,5,3]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[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]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[1,6,5,2,3,4,8,7]=>[1,6,5,4,3,2,8,7]=>[8,3,4,5,6,7,1,2]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]
[4,6,5,1,7,3,8,2]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[5,7,3,1,2,4,8,6]=>[6,8,5,4,3,1,7,2]=>[3,1,4,5,6,8,2,7]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[6,3,2,5,1,7,4,8]=>[7,5,3,4,2,6,1,8]=>[2,4,6,5,7,3,8,1]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[6,1,2,4,8,5,3,7]=>[7,2,3,6,8,4,1,5]=>[2,7,6,3,1,5,8,4]=>[[.,[[[.,.],.],.]],[[.,[.,.]],.]]
[6,3,1,7,2,5,8,4]=>[8,5,3,6,2,4,7,1]=>[1,4,6,3,7,5,2,8]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[3,7,2,8,5,1,4,6]=>[6,8,3,7,5,1,4,2]=>[3,1,6,2,4,8,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[3,6,5,2,4,7,1,8]=>[7,5,4,3,2,6,1,8]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[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]=>[9,8,7,6,5,4,2,3,1]=>[[[[[[[[.,.],.],.],.],.],.],[.,.]],.]
[1,2,3,4,5,6,7,9,8,10]=>[1,2,3,4,5,6,7,9,8,10]=>[10,9,8,7,6,5,4,2,3,1]=>[[[[[[[[[.,.],.],.],.],.],.],.],[.,.]],.]
[1,2,3,4,5,7,6,8,9]=>[1,2,3,4,5,7,6,8,9]=>[9,8,7,6,5,3,4,2,1]=>[[[[[[[[.,.],.],.],.],.],[.,.]],.],.]
[1,3,5,8,6,4,7,2]=>[1,8,6,7,5,3,4,2]=>[8,1,3,2,4,6,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[1,3,5,8,6,7,2,4]=>[1,7,8,6,5,4,2,3]=>[8,2,1,3,4,5,7,6]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[6,1,7,4,8,5,3,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,7,4,1,3,6,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,4,3,1,6,5,8,2]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[8,6,1,7,5,3,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,8,1,4,6,5,3,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,2,7,5,3,4,8,6]=>[1,2,8,6,5,4,7,3]=>[8,7,1,3,4,5,2,6]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]
[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]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[3,7,8,1,2,5,6,4]=>[5,8,7,4,1,6,3,2]=>[4,1,2,5,8,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,2,8,7,3,4,6,5]=>[1,2,8,7,5,6,4,3]=>[8,7,1,2,4,3,5,6]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[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]=>[3,1,6,2,4,8,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[8,2,1,3,4,5,7,6]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[6,8,4,3,1,7,2,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,8,5,7,4,2,3,6]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,1,6,8,5,3,4,7]=>[2,1,7,8,6,5,3,4]=>[7,8,2,1,3,4,6,5]=>[[[.,[.,.]],.],[.,[.,[[.,.],.]]]]
[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]=>[8,7,2,1,3,4,6,5]=>[[[[.,.],.],.],[.,[.,[[.,.],.]]]]
[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]=>[1,3,6,5,4,7,2,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[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]=>[1,3,6,5,4,7,2,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[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]=>[8,2,1,3,4,5,7,6]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[1,5,3,7,2,6,8,4]=>[1,8,5,6,3,4,7,2]=>[8,1,4,3,6,5,2,7]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]
[5,1,8,6,2,4,3,7]=>[7,2,8,6,5,4,1,3]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[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]=>[8,1,6,5,2,3,4,7]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[1,5,4,2,6,8,7,3]=>[1,8,4,3,5,7,6,2]=>[8,1,5,6,4,2,3,7]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,2,5,3,6,8,7,4]=>[1,2,8,4,5,7,6,3]=>[8,7,1,5,4,2,3,6]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,8,1,6,5,3,4,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,7,3,2,1,4,6,5]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[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]=>[8,1,6,5,2,3,4,7]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[4,6,2,3,5,1,7,8]=>[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[2,8,3,7,5,1,6,4]=>[6,8,3,7,5,1,4,2]=>[3,1,6,2,4,8,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[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]=>[8,1,6,5,2,3,4,7]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[2,8,4,3,6,7,1,5]=>[7,8,4,3,6,5,1,2]=>[2,1,5,6,3,4,8,7]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]
[1,6,7,8,2,4,3,5]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,1,2,8,5,3,7,6]=>[6,2,3,8,5,1,7,4]=>[3,7,6,1,4,8,2,5]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]
[1,8,5,6,4,3,2,7]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,8,3,5,6,4,1,7]=>[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[4,1,5,7,6,8,2,3]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[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]=>[5,1,2,8,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[2,7,1,4,5,3,8,6]=>[3,8,1,6,5,4,7,2]=>[6,1,8,3,4,5,2,7]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[1,5,2,7,4,3,6,8]=>[1,6,3,7,5,2,4,8]=>[8,3,6,2,4,7,5,1]=>[[[[.,.],[.,.]],[.,[[.,.],.]]],.]
[5,1,3,8,4,6,2,7]=>[7,2,5,8,3,6,1,4]=>[2,7,4,1,6,3,8,5]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[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]=>[4,1,6,3,8,5,2,7]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]
[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]=>[8,4,2,5,7,3,6,1]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]
[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]=>[8,1,6,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,7,2,4,8,3,5,6]=>[1,8,3,6,7,4,5,2]=>[8,1,6,3,2,5,4,7]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[1,3,2,8,4,5,7,6]=>[1,3,2,8,5,6,7,4]=>[8,6,7,1,4,3,2,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[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]=>[8,7,1,5,2,3,4,6]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[1,7,2,5,3,4,8,6]=>[1,8,3,6,5,4,7,2]=>[8,1,6,3,4,5,2,7]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[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]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[7,2,6,1,3,4,8,5]=>[8,4,6,2,5,3,7,1]=>[1,5,3,7,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[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]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[3,7,6,1,2,4,8,5]=>[5,8,6,4,1,3,7,2]=>[4,1,3,5,8,6,2,7]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]
[8,6,1,3,5,7,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,7,4,3,8,2,5,6]=>[1,8,6,4,7,3,5,2]=>[8,1,3,5,2,6,4,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[6,1,5,3,4,8,2,7]=>[7,2,5,4,3,8,1,6]=>[2,7,4,5,6,1,8,3]=>[[.,[[.,.],[.,[.,.]]]],[[.,.],.]]
[3,6,7,5,2,8,1,4]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,8,4,3,7,1,5,6]=>[6,8,4,3,7,1,5,2]=>[3,1,5,6,2,8,4,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[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]=>[8,7,3,5,1,6,2,4]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]
[7,1,3,8,2,4,5,6]=>[8,2,5,7,3,6,4,1]=>[1,7,4,2,6,3,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[8,1,3,7,2,4,5,6]=>[8,2,5,7,3,6,4,1]=>[1,7,4,2,6,3,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[3,5,4,7,8,1,2,6]=>[7,6,3,8,5,2,1,4]=>[2,3,6,1,4,7,8,5]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[8,3,1,4,7,2,5,6]=>[8,6,3,4,7,2,5,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[1,6,4,7,8,2,3,5]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[8,2,1,3,4,5,7,6]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,5,8,7,1,2,3,6]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[4,1,8,5,7,2,3,6]=>[7,2,8,6,5,4,1,3]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[1,8,7,4,6,2,3,5]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,6,5,4,1,8,3,7]=>[5,7,4,3,1,8,2,6]=>[4,2,5,6,8,1,7,3]=>[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]
[6,2,5,1,4,8,3,7]=>[7,4,5,2,3,8,1,6]=>[2,5,4,7,6,1,8,3]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]
[6,5,4,1,3,8,2,7]=>[7,5,4,3,2,8,1,6]=>[2,4,5,6,7,1,8,3]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[6,3,5,4,2,8,1,7]=>[7,5,4,3,2,8,1,6]=>[2,4,5,6,7,1,8,3]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[1,3,8,7,4,2,6,5]=>[1,6,8,7,5,2,4,3]=>[8,3,1,2,4,7,5,6]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]
[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]=>[1,5,2,7,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[3,8,4,5,1,6,7,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,5,4,1,3,6,7,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,3,1,7,5,6,4,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,4,1,8,5,7,6,3]=>[3,8,1,7,5,6,4,2]=>[6,1,8,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[8,2,1,4,7,6,3,5]=>[8,3,2,7,6,5,4,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[1,8,4,2,3,7,6,5]=>[1,8,5,4,3,7,6,2]=>[8,1,4,5,6,2,3,7]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[3,1,2,8,7,4,6,5]=>[3,2,1,8,7,6,5,4]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[8,5,1,2,4,3,7,6]=>[8,6,3,4,5,2,7,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[2,8,3,7,4,1,6,5]=>[6,8,3,7,5,1,4,2]=>[3,1,6,2,4,8,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[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]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[4,2,8,7,3,1,5,6]=>[6,5,8,7,2,1,4,3]=>[3,4,1,2,7,8,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]
[1,3,4,8,7,2,5,6]=>[1,6,3,8,7,2,5,4]=>[8,3,6,1,2,7,4,5]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]
[8,1,3,4,6,7,2,5]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[3,4,8,2,6,7,1,5]=>[7,4,8,2,6,5,1,3]=>[2,5,1,7,3,4,8,6]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[3,8,2,5,7,4,6,1]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[6,1,8,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[3,1,8,2,7,5,6,4]=>[4,2,8,1,7,6,5,3]=>[5,7,1,8,2,3,4,6]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[6,7,8,9,1,2,3,4,5]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]]
[3,2,1,9,8,6,7,5,4]=>[3,2,1,9,8,7,6,5,4]=>[7,8,9,1,2,3,4,5,6]=>[[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]]
[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]=>[2,7,6,1,4,3,8,5]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[3,7,1,2,5,6,4,8]=>[4,7,3,1,6,5,2,8]=>[5,2,6,8,3,4,7,1]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[4,8,1,6,5,2,7,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,3,6,5,4,7,2,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[2,7,4,1,6,3,5,8]=>[4,7,6,1,5,3,2,8]=>[5,2,3,8,4,6,7,1]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[8,3,5,4,2,7,1,6]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[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]=>[4,1,6,5,8,3,2,7]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]
[5,8,3,2,4,1,7,6]=>[6,8,5,4,3,1,7,2]=>[3,1,4,5,6,8,2,7]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[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]=>[2,4,5,6,7,1,8,3]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[4,5,2,8,1,7,3,6]=>[7,5,3,8,2,6,1,4]=>[2,4,6,1,7,3,8,5]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,2,7,6,4,8,1,3]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[7,1,8,3,5,2,4,6]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,2,4,8,1,5,6,3]=>[8,5,7,6,2,4,3,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[7,1,8,4,2,5,6,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,4,2,5,8,1,7,3]=>[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[2,1,7,5,8,3,6,4]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[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]=>[4,1,2,3,8,5,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,6,5,3,7,2,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[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]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[3,6,5,1,4,8,7,2]=>[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[2,3,6,1,4,7,8,5]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[3,5,6,8,1,4,2,7]=>[7,6,5,8,3,2,1,4]=>[2,3,4,1,6,7,8,5]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[4,3,5,8,2,1,6,7]=>[6,5,3,8,2,1,7,4]=>[3,4,6,1,7,8,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[6,4,7,2,3,1,5,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,8,1,5,4,2,7,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,6,4,3,7,1,8,2]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[6,5,3,7,2,4,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,6,2,8,4,3,7,1]=>[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[4,1,2,6,8,3,7,5]=>[6,2,3,8,7,1,5,4]=>[3,7,6,1,2,8,4,5]=>[[.,[[.,.],.]],[.,[[.,.],[.,.]]]]
[7,1,3,6,5,8,4,2]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[5,7,4,3,6,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[5,6,3,4,8,2,7,1]=>[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[5,8,4,6,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,7,8,2,4,3,6,1]=>[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]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[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]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[4,7,5,2,3,8,6,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,4,7,3,2,5,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[1,5,2,7,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[7,5,3,2,6,4,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,6,3,2,5,8,1,4]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,6,4,2,5,8,3,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[9,8,4,5,6,7,1,2,10,3]=>[10,8,7,6,5,4,3,2,9,1]=>[1,3,4,5,6,7,8,9,2,10]=>[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]]
[9,3,8,5,6,7,1,2,10,4]=>[10,8,7,6,5,4,3,2,9,1]=>[1,3,4,5,6,7,8,9,2,10]=>[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]]
[9,7,4,5,6,1,8,2,10,3]=>[10,8,7,6,5,4,3,2,9,1]=>[1,3,4,5,6,7,8,9,2,10]=>[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]]
[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]=>[9,7,8,6,5,4,3,2,1]=>[[[[[[[[.,.],[.,.]],.],.],.],.],.],.]
[1,4,2,3,5,6,7,8,9]=>[1,4,3,2,5,6,7,8,9]=>[9,6,7,8,5,4,3,2,1]=>[[[[[[[.,.],[.,[.,.]]],.],.],.],.],.]
[1,3,2,4,5,6,7,8,9,10]=>[1,3,2,4,5,6,7,8,9,10]=>[10,8,9,7,6,5,4,3,2,1]=>[[[[[[[[[.,.],[.,.]],.],.],.],.],.],.],.]
[2,4,6,3,8,7,5,1]=>[8,4,7,2,6,5,3,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[2,4,6,1,8,7,3,5]=>[4,7,8,1,6,5,2,3]=>[5,2,1,8,3,4,7,6]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]
[2,4,3,6,8,7,1,5]=>[7,3,2,8,6,5,1,4]=>[2,6,7,1,3,4,8,5]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]
[2,4,6,3,8,7,1,5]=>[7,4,8,2,6,5,1,3]=>[2,5,1,7,3,4,8,6]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[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]=>[2,4,1,3,7,5,8,6]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[2,4,6,8,1,7,3,5]=>[5,7,8,6,1,4,2,3]=>[4,2,1,3,8,5,7,6]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]]
[2,4,6,5,1,8,7,3]=>[5,8,4,3,1,7,6,2]=>[4,1,5,6,8,2,3,7]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[2,4,6,5,8,3,7,1]=>[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[2,4,6,5,8,1,7,3]=>[6,8,4,3,7,1,5,2]=>[3,1,5,6,2,8,4,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[2,4,6,8,5,1,7,3]=>[6,8,5,7,3,1,4,2]=>[3,1,4,2,6,8,5,7]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[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]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[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]=>[3,2,4,1,6,8,7,5]=>[[[.,.],[.,.]],[[.,[[.,.],.]],.]]
[2,4,6,5,1,8,3,7]=>[5,7,4,3,1,8,2,6]=>[4,2,5,6,8,1,7,3]=>[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]
[2,4,6,5,1,3,8,7]=>[5,6,4,3,1,2,8,7]=>[4,3,5,6,8,7,1,2]=>[[[.,.],[.,[.,[[.,.],.]]]],[.,.]]
[2,4,6,5,3,8,1,7]=>[7,5,4,3,2,8,1,6]=>[2,4,5,6,7,1,8,3]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[2,4,6,5,8,3,1,7]=>[7,6,4,3,8,2,1,5]=>[2,3,5,6,1,7,8,4]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[2,4,6,8,5,3,1,7]=>[7,6,5,8,3,2,1,4]=>[2,3,4,1,6,7,8,5]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[2,4,6,8,7,3,1,5]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[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]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[1,8,6,5,3,2,7,4]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,6,3,5,8,2,4,7]=>[1,7,6,4,8,3,2,5]=>[8,2,3,5,1,6,7,4]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]
[4,6,1,7,8,5,3,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,1,2,7,8,4,5,3]=>[8,2,3,7,6,5,4,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[6,1,3,2,7,8,5,4]=>[8,2,4,3,7,6,5,1]=>[1,7,5,6,2,3,4,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[5,6,3,1,7,4,8,2]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[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]=>[3,1,4,2,6,8,5,7]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[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]=>[8,3,4,5,6,7,2,1]=>[[[[.,.],[.,[.,[.,[.,.]]]]],.],.]
[1,8,6,2,7,3,4,5]=>[1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,6,3,2,4,5,7,8]=>[1,6,4,3,5,2,7,8]=>[8,3,5,6,4,7,2,1]=>[[[[.,.],[[.,[.,.]],[.,.]]],.],.]
[1,5,2,4,6,3,7,8]=>[1,6,3,4,5,2,7,8]=>[8,3,6,5,4,7,2,1]=>[[[[.,.],[[[.,.],.],[.,.]]],.],.]
[1,8,6,2,3,7,4,5]=>[1,8,7,4,5,6,3,2]=>[8,1,2,5,4,3,6,7]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[1,3,6,8,2,7,4,5]=>[1,5,8,7,2,6,4,3]=>[8,4,1,2,7,3,5,6]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[1,4,3,8,2,5,6,7]=>[1,5,3,8,2,6,7,4]=>[8,4,6,1,7,3,2,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[1,7,2,3,8,5,4,6]=>[1,8,3,4,7,6,5,2]=>[8,1,6,5,2,3,4,7]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[1,3,8,4,2,5,6,7]=>[1,5,8,4,2,6,7,3]=>[8,4,1,5,7,3,2,6]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]
[1,7,2,3,8,6,4,5]=>[1,8,3,4,7,6,5,2]=>[8,1,6,5,2,3,4,7]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[1,5,3,8,2,7,4,6]=>[1,7,5,8,3,6,2,4]=>[8,2,4,1,6,3,7,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[1,4,8,2,5,6,3,7]=>[1,7,8,4,5,6,2,3]=>[8,2,1,5,4,3,7,6]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]
[1,2,7,3,6,8,4,5]=>[1,2,8,4,7,6,5,3]=>[8,7,1,5,2,3,4,6]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[1,7,2,3,6,8,4,5]=>[1,8,3,4,7,6,5,2]=>[8,1,6,5,2,3,4,7]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[1,4,8,3,2,5,6,7]=>[1,5,8,4,2,6,7,3]=>[8,4,1,5,7,3,2,6]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]
[1,7,2,5,8,3,4,6]=>[1,8,3,7,6,5,4,2]=>[8,1,6,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[5,2,3,4,1,7,9,8,6]=>[5,4,3,2,1,9,8,7,6]=>[5,6,7,8,9,1,2,3,4]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,.]]]]
[6,2,3,5,8,1,7,4]=>[8,6,3,4,7,2,5,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[4,2,3,1,6,9,7,8,5]=>[4,3,2,1,9,8,7,6,5]=>[6,7,8,9,1,2,3,4,5]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]]
[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]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[2,5,6,3,4,7,1,8]=>[7,5,4,3,2,6,1,8]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[1,3,7,5,6,8,4,2]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,5,6,3,4,2,7,8]=>[1,6,5,4,3,2,7,8]=>[8,3,4,5,6,7,2,1]=>[[[[.,.],[.,[.,[.,[.,.]]]]],.],.]
[1,5,3,6,4,2,7,8]=>[1,6,5,4,3,2,7,8]=>[8,3,4,5,6,7,2,1]=>[[[[.,.],[.,[.,[.,[.,.]]]]],.],.]
[1,7,5,6,8,3,4,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,7,5,6,3,8,4,2]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,3,7,5,2,8,6,4]=>[1,5,8,7,2,6,4,3]=>[8,4,1,2,7,3,5,6]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[1,3,7,2,5,8,6,4]=>[1,4,8,2,7,6,5,3]=>[8,5,1,7,2,3,4,6]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[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]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[1,3,7,5,6,2,8,4]=>[1,6,8,5,4,2,7,3]=>[8,3,1,4,5,7,2,6]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]
[2,5,7,4,1,3,8,6]=>[5,6,8,4,1,2,7,3]=>[4,3,1,5,8,7,2,6]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]
[6,7,3,1,8,5,2,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[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]=>[2,3,5,6,1,7,8,4]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[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]=>[4,7,1,5,8,2,3,6]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[7,4,5,2,1,8,6,3]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,7,5,2,1,8,6,3]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[4,5,1,8,3,2,7,6]=>[6,5,3,8,2,1,7,4]=>[3,4,6,1,7,8,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[5,7,4,6,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[2,5,3,8,4,1,7,6]=>[6,5,3,8,2,1,7,4]=>[3,4,6,1,7,8,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[8,6,2,3,1,7,5,4]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,5,2,3,1,8,6,4]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,3,1,2,4,8,7,5]=>[8,4,3,2,5,7,6,1]=>[1,5,6,7,4,2,3,8]=>[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]
[4,7,5,2,3,6,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[3,6,8,4,5,1,2,7]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[5,2,3,7,6,4,1,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[6,2,7,3,5,4,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,2,6,5,3,4,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[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]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[2,3,1,7,8,5,6,4]=>[3,2,1,8,7,6,5,4]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[7,2,8,5,1,4,3,6]=>[8,5,7,6,2,4,3,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[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]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[4,8,6,2,3,1,5,7]=>[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[3,8,5,4,2,1,6,7]=>[6,8,5,4,3,1,7,2]=>[3,1,4,5,6,8,2,7]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[4,5,3,8,2,1,6,7]=>[6,5,3,8,2,1,7,4]=>[3,4,6,1,7,8,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[3,7,4,1,8,2,6,5]=>[6,8,4,3,7,1,5,2]=>[3,1,5,6,2,8,4,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[3,8,4,1,7,6,2,5]=>[7,8,4,3,6,5,1,2]=>[2,1,5,6,3,4,8,7]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]
[8,7,1,6,5,2,3,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[3,2,4,5,6,8,7,1]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[1,2,6,4,7,5,3,8]=>[1,2,7,6,5,4,3,8]=>[8,7,2,3,4,5,6,1]=>[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,5,6,8,4,2,7,3]=>[1,8,6,7,5,3,4,2]=>[8,1,3,2,4,6,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[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]=>[2,6,7,1,3,4,8,5]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,6,2,5,3,1,7,8]=>[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[2,6,7,5,4,1,3,8]=>[6,7,5,4,3,1,2,8]=>[3,2,4,5,6,8,7,1]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[6,7,4,3,1,5,2,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,7,6,2,1,8,4,5]=>[5,8,7,4,1,6,3,2]=>[4,1,2,5,8,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[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]=>[2,5,1,7,3,4,8,6]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[2,3,6,5,7,8,1,4]=>[7,2,8,4,5,6,1,3]=>[2,7,1,5,4,3,8,6]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[8,3,4,1,2,6,7,5]=>[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,3,1,2,8,5,6,4]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,1,2,8,5,7,6,3]=>[8,2,3,7,5,6,4,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[3,1,4,6,7,5,8,2]=>[8,2,3,6,5,4,7,1]=>[1,7,6,3,4,5,2,8]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[2,6,4,5,8,1,3,7]=>[6,7,4,3,8,1,2,5]=>[3,2,5,6,1,8,7,4]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]
[3,4,1,7,2,6,8,5]=>[5,3,2,8,1,6,7,4]=>[4,6,7,1,8,3,2,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[3,1,6,4,8,7,5,2]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[3,7,6,2,1,5,8,4]=>[5,8,6,4,1,3,7,2]=>[4,1,3,5,8,6,2,7]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]
[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]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,8,1,4,3,5,6,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,4,1,8,7,2,6,5]=>[6,3,2,8,7,1,5,4]=>[3,6,7,1,2,8,4,5]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]
[3,1,5,7,2,8,6,4]=>[5,2,8,7,1,6,4,3]=>[4,7,1,2,8,3,5,6]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[3,8,1,4,7,2,6,5]=>[6,8,3,4,7,1,5,2]=>[3,1,6,5,2,8,4,7]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[4,8,1,3,2,7,6,5]=>[5,8,3,4,1,7,6,2]=>[4,1,6,5,8,2,3,7]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[4,1,8,3,2,7,6,5]=>[5,2,8,4,1,7,6,3]=>[4,7,1,5,8,2,3,6]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[4,3,8,1,2,7,6,5]=>[5,4,8,2,1,7,6,3]=>[4,5,1,7,8,2,3,6]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[4,3,8,2,1,7,6,5]=>[5,4,8,2,1,7,6,3]=>[4,5,1,7,8,2,3,6]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[3,8,4,2,7,1,6,5]=>[6,8,4,3,7,1,5,2]=>[3,1,5,6,2,8,4,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[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]=>[3,1,6,5,2,8,4,7]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[3,2,4,8,7,1,6,5]=>[6,2,3,8,7,1,5,4]=>[3,7,6,1,2,8,4,5]=>[[.,[[.,.],.]],[.,[[.,.],[.,.]]]]
[3,2,5,7,1,8,6,4]=>[5,2,8,7,1,6,4,3]=>[4,7,1,2,8,3,5,6]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[4,2,8,3,1,7,6,5]=>[5,4,8,2,1,7,6,3]=>[4,5,1,7,8,2,3,6]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[4,8,2,1,3,7,6,5]=>[5,8,4,3,1,7,6,2]=>[4,1,5,6,8,2,3,7]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[4,2,8,1,3,7,6,5]=>[5,4,8,2,1,7,6,3]=>[4,5,1,7,8,2,3,6]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[2,3,4,6,8,7,1,5]=>[7,2,3,8,6,5,1,4]=>[2,7,6,1,3,4,8,5]=>[[.,[[.,.],.]],[.,[.,[[.,.],.]]]]
[5,6,4,7,1,2,8,3]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,2,7,6,8,1,4,5]=>[6,2,8,7,5,1,4,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,2,5,1,3,7,8,6]=>[5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[3,5,1,4,2,7,8,6]=>[5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[3,4,1,7,8,5,2,6]=>[7,3,2,8,6,5,1,4]=>[2,6,7,1,3,4,8,5]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]
[4,1,3,7,8,5,2,6]=>[7,2,3,8,6,5,1,4]=>[2,7,6,1,3,4,8,5]=>[[.,[[.,.],.]],[.,[.,[[.,.],.]]]]
[4,3,1,8,5,2,7,6]=>[6,3,2,8,5,1,7,4]=>[3,6,7,1,4,8,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[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]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[5,1,3,2,4,7,8,6]=>[5,2,4,3,1,8,7,6]=>[4,7,5,6,8,1,2,3]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]
[2,3,7,8,5,4,1,6]=>[7,2,8,6,5,4,1,3]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[8,3,5,6,1,7,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,3,6,7,8,2,1,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,3,4,8,6,2,7,5]=>[1,6,3,8,7,2,5,4]=>[8,3,6,1,2,7,4,5]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]
[7,2,4,1,3,8,5,6]=>[8,4,5,2,3,7,6,1]=>[1,5,4,7,6,2,3,8]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[3,8,2,5,4,1,6,7]=>[6,8,3,5,4,1,7,2]=>[3,1,6,4,5,8,2,7]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,7,3,4,1,5,6,8]=>[5,7,3,4,1,6,2,8]=>[4,2,6,5,8,3,7,1]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[6,7,2,3,4,8,1,5]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,5,2,4,6,7,8,1]=>[8,4,3,2,5,6,7,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,[.,[.,.]]],.],.],[.,.]]]
[1,4,8,5,6,2,7,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[1,3,8,5,2,6,7,4]=>[1,5,8,7,2,6,4,3]=>[8,4,1,2,7,3,5,6]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[7,2,8,4,5,1,6,3]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[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]=>[8,1,4,5,6,3,2,7]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[8,5,3,2,1,6,7,4]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[1,7,5,2,3,6,8,4]=>[1,8,6,4,5,3,7,2]=>[8,1,3,5,4,6,2,7]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[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]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[8,4,1,6,3,7,2,5]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[4,1,6,5,8,2,3,7]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[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]=>[3,4,6,1,7,8,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[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]=>[2,7,3,5,4,6,8,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[2,4,8,3,5,7,1,6]=>[7,4,8,2,5,6,1,3]=>[2,5,1,7,4,3,8,6]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[8,1,7,2,4,3,5,6]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[1,8,3,7,4,2,5,6]=>[1,8,6,7,5,3,4,2]=>[8,1,3,2,4,6,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[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]=>[2,1,5,6,4,3,8,7]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]
[3,2,8,7,4,1,5,6]=>[6,2,8,7,5,1,4,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[3,2,1,7,4,6,5,8]=>[3,2,1,7,5,6,4,8]=>[6,7,8,2,4,3,5,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[3,2,6,5,1,7,8,4]=>[5,2,8,4,1,6,7,3]=>[4,7,1,5,8,3,2,6]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[5,3,2,6,7,1,8,4]=>[8,6,3,4,5,2,7,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[3,2,8,6,7,4,1,5]=>[7,2,8,6,5,4,1,3]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[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]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[4,3,6,2,8,7,1,5]=>[7,4,8,2,6,5,1,3]=>[2,5,1,7,3,4,8,6]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,2,7,5,6,8,4,1]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[5,7,8,6,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,4,1,6,7,2,8,3]=>[8,6,3,4,5,2,7,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,8,3,6,7,4,2,5]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,6,3,5,2,7,8,4]=>[1,8,5,4,3,6,7,2]=>[8,1,4,5,6,3,2,7]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[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]=>[2,7,4,3,6,5,8,1]=>[[.,[[[.,.],.],[[.,.],[.,.]]]],.]
[8,1,6,7,2,4,3,5]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,1,4,8,2,7,3,5]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,1,5,6,8,2,4,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,6,1,5,2,4,3,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[1,7,3,5,6,8,4,2]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,7,8,3,6,4,5,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,7,6,4,5,2,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,1,7,5,6,8,3,2]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[5,6,7,4,3,1,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[8,3,4,5,6,7,2,1]=>[[[[.,.],[.,[.,[.,[.,.]]]]],.],.]
[1,6,3,2,5,4,7,8]=>[1,6,4,3,5,2,7,8]=>[8,3,5,6,4,7,2,1]=>[[[[.,.],[[.,[.,.]],[.,.]]],.],.]
[1,6,8,2,5,4,7,3]=>[1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,5,4,2,6,3,7,8]=>[1,6,4,3,5,2,7,8]=>[8,3,5,6,4,7,2,1]=>[[[[.,.],[[.,[.,.]],[.,.]]],.],.]
[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]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,7,4,3,2,6,8,5]=>[1,8,5,4,3,6,7,2]=>[8,1,4,5,6,3,2,7]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[1,5,4,7,2,6,8,3]=>[1,8,5,6,3,4,7,2]=>[8,1,4,3,6,5,2,7]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]
[1,3,7,6,2,8,5,4]=>[1,5,8,7,2,6,4,3]=>[8,4,1,2,7,3,5,6]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[1,7,6,2,8,4,3,5]=>[1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,5,2,8,4,3,7,6]=>[1,6,3,8,5,2,7,4]=>[8,3,6,1,4,7,2,5]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[1,2,8,5,6,3,4,7]=>[1,2,8,7,6,5,4,3]=>[8,7,1,2,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,3,5,2,8,6,4]=>[1,8,5,7,3,6,4,2]=>[8,1,4,2,6,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,6,7,2,5,8,4,3]=>[1,8,7,4,5,6,3,2]=>[8,1,2,5,4,3,6,7]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[1,4,5,8,2,6,3,7]=>[1,7,5,8,3,6,2,4]=>[8,2,4,1,6,3,7,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[1,7,6,4,8,2,5,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,4,8,6,5,2,7,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,3,8,2,6,5,4,7]=>[1,4,8,2,7,6,5,3]=>[8,5,1,7,2,3,4,6]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[1,7,6,3,8,2,4,5]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,5,2,7,6,4,8,3]=>[1,8,3,6,5,4,7,2]=>[8,1,6,3,4,5,2,7]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[1,2,4,3,8,7,5,6]=>[1,2,4,3,8,7,6,5]=>[8,7,5,6,1,2,3,4]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]
[1,4,3,8,7,2,5,6]=>[1,6,3,8,7,2,5,4]=>[8,3,6,1,2,7,4,5]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]
[1,3,8,6,2,4,5,7]=>[1,5,8,7,2,6,4,3]=>[8,4,1,2,7,3,5,6]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[1,3,8,5,4,2,6,7]=>[1,6,8,5,4,2,7,3]=>[8,3,1,4,5,7,2,6]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]
[1,7,2,4,8,6,5,3]=>[1,8,3,7,6,5,4,2]=>[8,1,6,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,6,5,3,2,8,7,4]=>[1,8,5,4,3,7,6,2]=>[8,1,4,5,6,2,3,7]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[1,3,2,8,7,5,4,6]=>[1,3,2,8,7,6,5,4]=>[8,6,7,1,2,3,4,5]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]
[1,2,8,6,5,4,3,7]=>[1,2,8,7,6,5,4,3]=>[8,7,1,2,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[8,1,3,4,6,5,2,7]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[5,8,3,1,2,6,4,7]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[4,8,1,7,5,2,3,6]=>[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[4,8,1,7,5,2,6,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,1,5,4,2,6,3,7]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[8,5,2,4,1,6,3,7]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,8,7,1,5,2,6,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,6,5,3,4,7,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,6,1,3,5,4,7,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,1,4,8,3,6,5,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,6,3,4,1,8,5,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[1,8,6,4,2,9,7,5,3]=>[1,9,8,7,5,6,4,3,2]=>[9,1,2,3,5,4,6,7,8]=>[[.,.],[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[9,7,5,3,1,8,6,4,2,10]=>[9,8,7,6,5,4,3,2,1,10]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[8,6,4,2,1,7,5,3,9]=>[8,7,6,5,4,3,2,1,9]=>[2,3,4,5,6,7,8,9,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[8,7,5,3,1,6,4,2,9]=>[8,7,6,5,4,3,2,1,9]=>[2,3,4,5,6,7,8,9,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[7,5,3,2,1,6,4,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,6,5,3,1,4,2,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,8,6,4,3,2,7,5]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,9,7,5,3,2,8,6,4]=>[1,9,8,7,6,5,4,3,2]=>[9,1,2,3,4,5,6,7,8]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,8,7,6,4,2,5,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,9,8,6,4,2,7,5,3]=>[1,9,8,7,6,5,4,3,2]=>[9,1,2,3,4,5,6,7,8]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,10,8,6,4,2,9,7,5,3]=>[1,10,9,8,7,6,5,4,3,2]=>[10,1,2,3,4,5,6,7,8,9]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,8,3,6,7,5,4,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,1,7,6,4,5,3,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,1,8,6,4,5,3,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,6,2,7,4,5,3,8]=>[1,7,3,6,5,4,2,8]=>[8,2,6,3,4,5,7,1]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[1,8,2,6,4,3,5,7]=>[1,8,3,7,6,5,4,2]=>[8,1,6,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,7,2,6,4,3,5,8]=>[1,7,3,6,5,4,2,8]=>[8,2,6,3,4,5,7,1]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[1,7,2,5,4,6,3,8]=>[1,7,3,6,5,4,2,8]=>[8,2,6,3,4,5,7,1]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[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]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[4,2,3,1,5,8,6,7]=>[4,3,2,1,5,8,7,6]=>[5,6,7,8,4,1,2,3]=>[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]]
[6,3,5,1,2,4,7,8,9]=>[6,5,4,3,2,1,7,8,9]=>[4,5,6,7,8,9,3,2,1]=>[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.]
[8,6,5,4,3,2,1,7,9]=>[8,7,6,5,4,3,2,1,9]=>[2,3,4,5,6,7,8,9,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[3,1,2,4,5,6,7,8,9,10]=>[3,2,1,4,5,6,7,8,9,10]=>[8,9,10,7,6,5,4,3,2,1]=>[[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.],.]
[6,3,5,1,2,4,7,8,9,10]=>[6,5,4,3,2,1,7,8,9,10]=>[5,6,7,8,9,10,4,3,2,1]=>[[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.],.]
[9,7,6,5,4,3,2,1,8,10]=>[9,8,7,6,5,4,3,2,1,10]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[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]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[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]=>[5,3,4,8,6,7,1,2]=>[[[.,.],[.,[[.,.],[.,.]]]],[.,.]]
[4,6,5,3,1,2,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[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]=>[7,8,3,1,2,6,4,5]=>[[[.,[.,.]],.],[.,[[.,.],[.,.]]]]
[4,8,7,3,1,2,6,5]=>[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[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]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,8,7,1,6,5,3,4]=>[4,8,7,1,6,5,3,2]=>[5,1,2,8,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[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]=>[5,1,2,8,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[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]=>[4,1,2,5,8,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[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]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[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]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[2,6,8,7,5,1,4,3]=>[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,4,8,7,3,6,5,1]=>[8,5,7,6,2,4,3,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,7,3,4,1,6,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,1,2,3,4,5,7,6,9]=>[8,2,3,4,5,6,7,1,9]=>[2,8,7,6,5,4,3,9,1]=>[[.,[[[[[[.,.],.],.],.],.],[.,.]]],.]
[7,1,2,3,5,4,6,8]=>[7,2,3,4,6,5,1,8]=>[2,7,6,5,3,4,8,1]=>[[.,[[[[.,.],.],.],[.,[.,.]]]],.]
[7,1,2,6,4,5,3,8]=>[7,2,3,6,5,4,1,8]=>[2,7,6,3,4,5,8,1]=>[[.,[[[.,.],.],[.,[.,[.,.]]]]],.]
[7,1,2,4,3,5,6,8]=>[7,2,3,5,4,6,1,8]=>[2,7,6,4,5,3,8,1]=>[[.,[[[[.,.],.],[.,.]],[.,.]]],.]
[4,7,3,6,5,1,2,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[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]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[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]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[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]=>[1,7,2,5,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[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]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[4,5,8,2,1,3,6,7]=>[6,5,8,4,2,1,7,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[1,8,3,5,7,2,4,6]=>[1,8,6,7,5,3,4,2]=>[8,1,3,2,4,6,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[1,7,3,8,6,2,4,5]=>[1,8,6,7,5,3,4,2]=>[8,1,3,2,4,6,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[8,1,4,2,7,6,3,5]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[1,3,4,5,6,7,8,2,9]=>[1,8,3,4,5,6,7,2,9]=>[9,2,7,6,5,4,3,8,1]=>[[[.,.],[[[[[.,.],.],.],.],[.,.]]],.]
[1,5,7,3,6,8,2,4]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[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]=>[8,2,6,1,4,3,7,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[8,1,3,6,7,4,2,5]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,2,4,7,8,5,3,6]=>[1,2,7,8,6,5,3,4]=>[8,7,2,1,3,4,6,5]=>[[[[.,.],.],.],[.,[.,[[.,.],.]]]]
[3,1,4,7,6,8,2,5]=>[7,2,3,8,5,6,1,4]=>[2,7,6,1,4,3,8,5]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[4,1,3,7,6,8,2,5]=>[7,2,3,8,5,6,1,4]=>[2,7,6,1,4,3,8,5]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[5,1,7,3,6,8,2,4]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[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]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[2,8,3,6,7,4,1,5]=>[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,8,2,7,5,4,3,6]=>[1,8,3,7,6,5,4,2]=>[8,1,6,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[3,8,1,7,5,4,2,6]=>[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[5,8,6,1,7,3,2,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,1,3,8,6,5,4,7]=>[2,1,3,8,7,6,5,4]=>[7,8,6,1,2,3,4,5]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]
[8,2,1,7,5,4,3,6]=>[8,3,2,7,6,5,4,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[1,3,2,8,6,5,4,7]=>[1,3,2,8,7,6,5,4]=>[8,6,7,1,2,3,4,5]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]
[2,5,7,1,8,4,3,6]=>[4,7,8,1,6,5,2,3]=>[5,2,1,8,3,4,7,6]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]
[3,5,7,1,6,8,2,4]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[4,5,7,6,1,8,2,3]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[8,2,1,3,4,5,7,6]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[2,4,8,6,7,3,1,5]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[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]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[1,3,8,7,5,4,2,6]=>[1,7,8,6,5,4,2,3]=>[8,2,1,3,4,5,7,6]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,1,8,6,7,3,2,5]=>[7,2,8,6,5,4,1,3]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[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]=>[9,1,2,3,4,5,6,7,8]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,4,9,8,7,6,5,3,2]=>[1,9,8,7,6,5,4,3,2]=>[9,1,2,3,4,5,6,7,8]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,3,9,8,7,6,5,4,2]=>[1,9,8,7,6,5,4,3,2]=>[9,1,2,3,4,5,6,7,8]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,8,10,9,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[10,1,2,3,4,5,6,7,8,9]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[1,7,10,9,8,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[10,1,2,3,4,5,6,7,8,9]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[10,1,2,3,4,5,6,7,8,9]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[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]=>[10,1,2,3,4,5,6,7,8,9]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[2,3,9,8,7,6,5,1,4]=>[8,2,9,7,6,5,4,1,3]=>[2,8,1,3,4,5,6,9,7]=>[[.,[.,.]],[.,[.,[.,[.,[[.,.],.]]]]]]
[1,9,11,10,8,7,6,5,4,3,2]=>[1,11,10,9,8,7,6,5,4,3,2]=>[11,1,2,3,4,5,6,7,8,9,10]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[1,7,6,9,8,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[9,1,2,3,4,5,6,7,8]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,8,11,10,9,7,6,5,4,3,2]=>[1,11,10,9,8,7,6,5,4,3,2]=>[11,1,2,3,4,5,6,7,8,9,10]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[1,6,9,5,8,7,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[9,1,2,3,4,5,6,7,8]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[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]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[5,1,9,8,4,7,6,3,2]=>[9,2,8,7,6,5,4,3,1]=>[1,8,2,3,4,5,6,7,9]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]
[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]=>[11,1,2,3,4,5,6,7,8,9,10]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[1,4,9,8,7,3,6,5,2]=>[1,9,8,7,6,5,4,3,2]=>[9,1,2,3,4,5,6,7,8]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[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]=>[11,1,2,3,4,5,6,7,8,9,10]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[1,5,8,4,3,7,6,2]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[3,4,9,8,7,6,2,1,5]=>[8,7,9,6,5,4,2,1,3]=>[2,3,1,4,5,6,8,9,7]=>[[.,[.,.]],[.,[.,[.,[[.,[.,.]],.]]]]]
[3,2,10,9,8,7,6,5,1,4]=>[9,2,10,8,7,6,5,4,1,3]=>[2,9,1,3,4,5,6,7,10,8]=>[[.,[.,.]],[.,[.,[.,[.,[.,[[.,.],.]]]]]]]
[1,3,11,10,9,8,7,6,5,4,2]=>[1,11,10,9,8,7,6,5,4,3,2]=>[11,1,2,3,4,5,6,7,8,9,10]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,1,7,2,5,6,4,3]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,1,3,5,2,7,6,4]=>[8,2,5,7,3,6,4,1]=>[1,7,4,2,6,3,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[2,7,1,5,4,8,6,3]=>[3,8,1,7,5,6,4,2]=>[6,1,8,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[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]=>[6,1,8,3,4,5,2,7]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[8,1,4,5,6,3,7,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,4,5,6,2,7,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,4,7,6,2,5,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,5,1,7,8,6,4,3]=>[3,8,1,7,6,5,4,2]=>[6,1,8,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[3,5,6,2,8,7,4,1]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[2,4,5,1,7,6,3,8]=>[4,7,3,1,6,5,2,8]=>[5,2,6,8,3,4,7,1]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[7,3,1,5,6,4,2,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[8,3,2,5,6,7,1,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,4,5,3,7,6,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,7,4,2,8,5,1,6]=>[7,8,4,3,6,5,1,2]=>[2,1,5,6,3,4,8,7]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]
[2,6,3,1,4,7,5,8]=>[4,7,3,1,5,6,2,8]=>[5,2,6,8,4,3,7,1]=>[[[.,.],[[[.,[.,.]],.],[.,.]]],.]
[7,3,4,1,6,5,8,2]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[2,7,1,3,6,8,5,4]=>[3,8,1,4,7,6,5,2]=>[6,1,8,5,2,3,4,7]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[2,7,1,3,8,4,6,5]=>[3,8,1,4,7,6,5,2]=>[6,1,8,5,2,3,4,7]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[3,7,4,2,1,8,6,5]=>[5,8,4,3,1,7,6,2]=>[4,1,5,6,8,2,3,7]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[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]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[3,7,4,6,1,5,2,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[3,4,7,6,1,2,8,5]=>[6,5,8,4,2,1,7,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,4,2,5,1,6,7,3]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[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]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,7,2,5,3,6,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,8,3,4,5,2,6,7]=>[1,8,6,4,5,3,7,2]=>[8,1,3,5,4,6,2,7]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[1,8,6,4,2,5,3,7]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,2,6,4,1,5,7,3]=>[8,5,7,6,2,4,3,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[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]=>[2,7,3,1,4,6,8,5]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]
[8,1,6,4,2,7,3,5]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,1,7,4,2,5,8,6]=>[5,2,8,4,1,6,7,3]=>[4,7,1,5,8,3,2,6]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[1,2,7,4,3,5,6,8]=>[1,2,7,5,4,6,3,8]=>[8,7,2,4,5,3,6,1]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]
[6,1,8,5,2,4,3,7]=>[7,2,8,6,5,4,1,3]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[6,8,2,5,1,4,7,3]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[4,5,2,1,6,8,7,3]=>[8,4,3,2,5,7,6,1]=>[1,5,6,7,4,2,3,8]=>[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,3,1,2,5,4,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,5,3,1,2,4,7,6]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,2,1,6,5,3,4,7]=>[8,3,2,7,6,5,4,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[3,8,1,5,6,2,4,7]=>[6,8,3,7,5,1,4,2]=>[3,1,6,2,4,8,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[3,2,8,1,6,4,5,7]=>[4,2,8,1,7,6,5,3]=>[5,7,1,8,2,3,4,6]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[5,2,1,3,7,6,4,8]=>[7,3,2,4,6,5,1,8]=>[2,6,7,5,3,4,8,1]=>[[.,[[[.,[.,.]],.],[.,[.,.]]]],.]
[5,4,1,2,8,3,7,6]=>[6,4,3,2,8,1,7,5]=>[3,5,6,7,1,8,2,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[5,8,4,1,2,3,7,6]=>[6,8,5,4,3,1,7,2]=>[3,1,4,5,6,8,2,7]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[7,1,2,5,3,4,6,8]=>[7,2,3,6,5,4,1,8]=>[2,7,6,3,4,5,8,1]=>[[.,[[[.,.],.],[.,[.,[.,.]]]]],.]
[1,6,7,3,2,8,4,5]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,8,6,3,2,7,4,5]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,5,3,7,2,8,4,6]=>[1,7,5,8,3,6,2,4]=>[8,2,4,1,6,3,7,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[1,4,6,2,8,5,3,7]=>[1,7,6,4,8,3,2,5]=>[8,2,3,5,1,6,7,4]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]
[1,5,6,2,8,4,3,7]=>[1,7,6,4,8,3,2,5]=>[8,2,3,5,1,6,7,4]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]
[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]=>[8,7,4,2,6,3,5,1]=>[[[[[.,.],.],.],[[.,.],[.,.]]],.]
[1,2,5,7,4,3,6,8]=>[1,2,6,7,5,3,4,8]=>[8,7,3,2,4,6,5,1]=>[[[[[.,.],.],.],[.,[[.,.],.]]],.]
[1,2,5,7,4,6,8,3]=>[1,2,8,6,5,4,7,3]=>[8,7,1,3,4,5,2,6]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]
[1,2,4,7,6,8,3,5]=>[1,2,7,8,5,6,3,4]=>[8,7,2,1,4,3,6,5]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]
[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]=>[4,7,1,2,8,3,5,6]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[2,3,7,1,8,6,4,5]=>[4,2,8,1,7,6,5,3]=>[5,7,1,8,2,3,4,6]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[2,6,1,7,8,5,3,4]=>[3,8,1,7,6,5,4,2]=>[6,1,8,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,4,8,5,6,7,3,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,2,1,6,8,4,7,5]=>[3,2,1,8,7,6,5,4]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[3,7,4,5,6,8,1,2]=>[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]
[3,6,4,2,5,1,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[2,1,5,8,6,4,7,3]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,7,2,3,4,6,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[1,8,7,3,2,5,6,4]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[1,8,6,4,2,5,7,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,2,1,8,4,7,3]=>[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[2,8,1,6,5,7,3,4]=>[3,8,1,7,6,5,4,2]=>[6,1,8,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[5,4,6,8,1,3,7,2]=>[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[1,3,8,7,5,4,6,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,2,3,4,5,7,9,8,6]=>[1,2,3,4,5,9,8,7,6]=>[9,8,7,6,5,1,2,3,4]=>[[[[[[.,.],.],.],.],.],[.,[.,[.,.]]]]
[1,2,3,4,6,8,9,7,5]=>[1,2,3,4,9,8,7,6,5]=>[9,8,7,6,1,2,3,4,5]=>[[[[[.,.],.],.],.],[.,[.,[.,[.,.]]]]]
[1,2,3,4,6,9,8,7,5]=>[1,2,3,4,9,8,7,6,5]=>[9,8,7,6,1,2,3,4,5]=>[[[[[.,.],.],.],.],[.,[.,[.,[.,.]]]]]
[1,2,3,5,7,9,8,6,4]=>[1,2,3,9,8,7,6,5,4]=>[9,8,7,1,2,3,4,5,6]=>[[[[.,.],.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,2,3,5,9,8,7,6,4]=>[1,2,3,9,8,7,6,5,4]=>[9,8,7,1,2,3,4,5,6]=>[[[[.,.],.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,2,4,6,9,8,7,5,3]=>[1,2,9,8,7,6,5,4,3]=>[9,8,1,2,3,4,5,6,7]=>[[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,2,4,9,8,7,6,5,3]=>[1,2,9,8,7,6,5,4,3]=>[9,8,1,2,3,4,5,6,7]=>[[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,3,5,7,9,8,6,4,2]=>[1,9,8,7,6,5,4,3,2]=>[9,1,2,3,4,5,6,7,8]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,3,5,9,8,7,6,4,2]=>[1,9,8,7,6,5,4,3,2]=>[9,1,2,3,4,5,6,7,8]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,2,3,4,5,6,8,10,9,7]=>[1,2,3,4,5,6,10,9,8,7]=>[10,9,8,7,6,5,1,2,3,4]=>[[[[[[[.,.],.],.],.],.],.],[.,[.,[.,.]]]]
[1,2,3,4,5,7,9,10,8,6]=>[1,2,3,4,5,10,9,8,7,6]=>[10,9,8,7,6,1,2,3,4,5]=>[[[[[[.,.],.],.],.],.],[.,[.,[.,[.,.]]]]]
[1,2,3,4,5,7,10,9,8,6]=>[1,2,3,4,5,10,9,8,7,6]=>[10,9,8,7,6,1,2,3,4,5]=>[[[[[[.,.],.],.],.],.],[.,[.,[.,[.,.]]]]]
[1,2,3,4,6,8,10,9,7,5]=>[1,2,3,4,10,9,8,7,6,5]=>[10,9,8,7,1,2,3,4,5,6]=>[[[[[.,.],.],.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,2,3,4,6,10,9,8,7,5]=>[1,2,3,4,10,9,8,7,6,5]=>[10,9,8,7,1,2,3,4,5,6]=>[[[[[.,.],.],.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,2,3,5,7,9,10,8,6,4]=>[1,2,3,10,9,8,7,6,5,4]=>[10,9,8,1,2,3,4,5,6,7]=>[[[[.,.],.],.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,2,3,5,7,10,9,8,6,4]=>[1,2,3,10,9,8,7,6,5,4]=>[10,9,8,1,2,3,4,5,6,7]=>[[[[.,.],.],.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,2,3,5,10,9,8,7,6,4]=>[1,2,3,10,9,8,7,6,5,4]=>[10,9,8,1,2,3,4,5,6,7]=>[[[[.,.],.],.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,2,4,6,10,9,8,7,5,3]=>[1,2,10,9,8,7,6,5,4,3]=>[10,9,1,2,3,4,5,6,7,8]=>[[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,2,4,10,9,8,7,6,5,3]=>[1,2,10,9,8,7,6,5,4,3]=>[10,9,1,2,3,4,5,6,7,8]=>[[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,3,5,7,9,10,8,6,4,2]=>[1,10,9,8,7,6,5,4,3,2]=>[10,1,2,3,4,5,6,7,8,9]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[1,3,5,7,10,9,8,6,4,2]=>[1,10,9,8,7,6,5,4,3,2]=>[10,1,2,3,4,5,6,7,8,9]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[1,3,5,10,9,8,7,6,4,2]=>[1,10,9,8,7,6,5,4,3,2]=>[10,1,2,3,4,5,6,7,8,9]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[1,3,10,9,8,7,6,5,4,2]=>[1,10,9,8,7,6,5,4,3,2]=>[10,1,2,3,4,5,6,7,8,9]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[3,1,4,5,6,8,2,7]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[6,1,4,5,7,8,2,3]=>[8,2,7,4,5,6,3,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[6,3,4,7,1,8,5,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[8,1,3,2,4,6,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[4,2,5,1,6,8,7,3]=>[8,4,3,2,5,7,6,1]=>[1,5,6,7,4,2,3,8]=>[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]
[5,4,2,7,8,6,1,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,1,2,5,3,8,4]=>[8,6,3,4,5,2,7,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,3,6,5,4,7,2,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[6,7,2,1,5,3,8,4]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[4,3,2,8,7,1,6,5]=>[6,3,2,8,7,1,5,4]=>[3,6,7,1,2,8,4,5]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]
[4,8,3,2,7,1,6,5]=>[6,8,4,3,7,1,5,2]=>[3,1,5,6,2,8,4,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,4,1,8,6,5,3,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,8,4,7,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[1,6,7,5,8,3,2,4]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,2,1,6,8,4,7,3]=>[8,3,2,6,7,4,5,1]=>[1,6,7,3,2,5,4,8]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,7,5,3,6,1,2,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,7,5,3,1,6,2,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[2,7,5,3,6,4,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,7,5,3,6,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,7,5,6,3,8,4,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,7,5,3,6,8,1,4]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[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]=>[4,1,3,5,8,6,2,7]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]
[2,7,5,3,4,8,6,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[3,7,4,5,6,8,1,2]=>[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]
[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]=>[4,1,2,5,8,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[6,1,7,2,8,4,3,5]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[4,8,5,6,7,3,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,1,7,3,8,5,2,4]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,1,8,3,2,5,4,6]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[2,7,8,3,1,5,4,6]=>[5,8,7,4,1,6,3,2]=>[4,1,2,5,8,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[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]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[4,5,1,2,8,7,3,6]=>[7,4,3,2,8,6,1,5]=>[2,5,6,7,1,3,8,4]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]
[5,6,1,2,8,3,7,4]=>[8,6,3,4,7,2,5,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[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]=>[1,3,6,5,2,7,4,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,7,6,1,3,8,4,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,1,6,4,8,3,7,5]=>[2,1,8,6,7,4,5,3]=>[7,8,1,3,2,5,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[7,4,5,1,3,8,6,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[1,5,7,8,4,2,3,6]=>[1,7,8,6,5,4,2,3]=>[8,2,1,3,4,5,7,6]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[1,3,6,4,2,5,7,8]=>[1,5,6,4,2,3,7,8]=>[8,4,3,5,7,6,2,1]=>[[[[[.,.],.],[.,[[.,.],.]]],.],.]
[1,4,5,7,8,3,6,2]=>[1,8,6,7,5,3,4,2]=>[8,1,3,2,4,6,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[1,5,7,8,3,6,2,4]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,5,7,8,2,4,3,6]=>[1,7,8,6,5,4,2,3]=>[8,2,1,3,4,5,7,6]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[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]=>[8,1,3,2,4,6,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[6,4,8,5,3,2,1,7]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[3,5,6,1,4,2,7,8]=>[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[1,6,3,8,4,2,7,5]=>[1,8,6,7,5,3,4,2]=>[8,1,3,2,4,6,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[7,1,3,2,4,6,8,5]=>[8,2,4,3,5,6,7,1]=>[1,7,5,6,4,3,2,8]=>[.,[[[[[.,.],[.,.]],.],.],[.,.]]]
[4,1,8,2,6,7,5,3]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[3,6,7,8,2,1,4,5]=>[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[2,5,7,1,6,3,4,8]=>[4,7,6,1,5,3,2,8]=>[5,2,3,8,4,6,7,1]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[4,2,8,3,6,5,1,7]=>[7,4,8,2,6,5,1,3]=>[2,5,1,7,3,4,8,6]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,5,6,3,4,8,1,7]=>[7,5,4,3,2,8,1,6]=>[2,4,5,6,7,1,8,3]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[5,2,4,7,8,6,1,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,4,5,7,1,8,6,3]=>[5,8,3,7,1,6,4,2]=>[4,1,6,2,8,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[8,1,6,2,3,4,7,5]=>[8,2,7,4,5,6,3,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[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]=>[8,1,3,5,4,6,2,7]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[1,8,3,6,4,7,2,5]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[3,4,8,2,5,1,7,6]=>[6,4,8,2,5,1,7,3]=>[3,5,1,7,4,8,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[1,7,2,5,8,4,3,6]=>[1,8,3,7,6,5,4,2]=>[8,1,6,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,4,6,7,8,3,5,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,7,5,1,6,8,4,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[4,7,1,8,5,6,3,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,7,1,8,2,6,4,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,2,1,8,6,4,5,3]=>[8,3,2,7,6,5,4,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[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]=>[5,1,2,8,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[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]=>[8,1,6,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,5,8,6,4,7,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,6,3,8,5,1,7,4]=>[6,8,3,7,5,1,4,2]=>[3,1,6,2,4,8,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[4,1,5,8,6,7,3,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,3,4,7,6,1,2,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[6,2,1,4,8,3,7,5]=>[8,3,2,6,7,4,5,1]=>[1,6,7,3,2,5,4,8]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]
[2,8,5,4,1,3,7,6]=>[5,8,6,4,1,3,7,2]=>[4,1,3,5,8,6,2,7]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]
[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]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[4,3,6,5,1,8,2,7]=>[7,5,4,3,2,8,1,6]=>[2,4,5,6,7,1,8,3]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[1,5,6,8,7,3,2,4]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,3,8,6,4,7,2,5]=>[1,7,8,6,5,4,2,3]=>[8,2,1,3,4,5,7,6]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[1,2,8,6,4,3,7,5]=>[1,2,8,7,6,5,4,3]=>[8,7,1,2,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[6,5,1,8,7,3,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,1,7,6,8,3,2,5]=>[7,2,8,6,5,4,1,3]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[8,1,4,5,7,3,2,6]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,8,4,7,6,2,3,5]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[4,6,1,7,8,2,5,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,2,3,8,4,5,6,1]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,1,2,8,7,3,4,5]=>[8,2,3,7,6,5,4,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[7,3,2,8,4,6,1,5]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,5,2,7,6,3,4,8]=>[1,7,3,6,5,4,2,8]=>[8,2,6,3,4,5,7,1]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,5,1,8,6,4,3,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,5,1,7,6,4,3,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,5,3,1,8,7,2,6]=>[7,4,3,2,8,6,1,5]=>[2,5,6,7,1,3,8,4]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]
[3,4,8,1,5,2,6,7]=>[6,4,8,2,5,1,7,3]=>[3,5,1,7,4,8,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,1,8,5,7,2,6,4]=>[6,2,8,7,5,1,4,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[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]=>[4,1,2,3,8,5,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[3,2,6,7,1,8,5,4]=>[5,2,8,7,1,6,4,3]=>[4,7,1,2,8,3,5,6]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[3,2,6,7,8,4,1,5]=>[7,2,8,6,5,4,1,3]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,7,1,8,5,2,4,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,2,6,7,8,5,3,4]=>[1,2,8,7,6,5,4,3]=>[8,7,1,2,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,6,7,4,8,3,2,5]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,4,6,7,8,3,2,5]=>[1,7,8,6,5,4,2,3]=>[8,2,1,3,4,5,7,6]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[6,1,2,4,5,3,7,8]=>[6,2,3,5,4,1,7,8]=>[3,7,6,4,5,8,2,1]=>[[[.,[[[.,.],.],[.,[.,.]]]],.],.]
[8,1,7,3,2,6,4,5]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[4,1,3,2,5,6,7,8,9]=>[4,2,3,1,5,6,7,8,9]=>[6,8,7,9,5,4,3,2,1]=>[[[[[[.,[[.,.],[.,.]]],.],.],.],.],.]
[5,4,1,2,3,6,7,8,9]=>[5,4,3,2,1,6,7,8,9]=>[5,6,7,8,9,4,3,2,1]=>[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.]
[7,3,4,6,1,2,5,8,9]=>[7,6,5,4,3,2,1,8,9]=>[3,4,5,6,7,8,9,2,1]=>[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.]
[6,8,5,1,7,2,3,4,9]=>[8,7,6,4,5,3,2,1,9]=>[2,3,4,6,5,7,8,9,1]=>[[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]],.]
[8,3,4,5,7,1,2,6,9]=>[8,7,6,4,5,3,2,1,9]=>[2,3,4,6,5,7,8,9,1]=>[[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]],.]
[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]=>[6,7,8,9,10,5,4,3,2,1]=>[[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.],.]
[7,3,4,6,1,2,5,8,9,10]=>[7,6,5,4,3,2,1,8,9,10]=>[4,5,6,7,8,9,10,3,2,1]=>[[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.],.]
[7,9,4,6,1,8,2,3,5,10]=>[9,8,7,6,5,4,3,2,1,10]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,6,4,3,1,5,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,1,8,7,2,3,5,4]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,8,6,1,4,5,7,3]=>[4,8,7,1,6,5,3,2]=>[5,1,2,8,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[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]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,5,2,7,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[4,1,2,6,8,7,5,3]=>[8,2,3,7,6,5,4,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[3,1,6,4,8,7,2,5]=>[7,2,8,4,6,5,1,3]=>[2,7,1,5,3,4,8,6]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[4,1,6,8,7,5,2,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[4,1,6,5,8,3,2,7]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]
[4,1,8,3,5,2,7,6]=>[6,2,8,4,5,1,7,3]=>[3,7,1,5,4,8,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[3,8,1,2,5,4,7,6]=>[4,8,3,1,6,5,7,2]=>[5,1,6,8,3,4,2,7]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]
[4,2,3,6,8,7,1,5]=>[7,3,2,8,6,5,1,4]=>[2,6,7,1,3,4,8,5]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]
[4,2,8,3,5,1,7,6]=>[6,4,8,2,5,1,7,3]=>[3,5,1,7,4,8,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[4,2,8,3,5,7,6,1]=>[8,4,7,2,5,6,3,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[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]=>[4,1,6,3,8,5,2,7]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]
[3,8,1,5,2,4,7,6]=>[5,8,3,6,1,4,7,2]=>[4,1,6,3,8,5,2,7]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]
[7,5,6,4,1,3,2,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[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]=>[2,7,3,5,4,6,8,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[7,3,2,1,4,6,5,8]=>[7,4,3,2,5,6,1,8]=>[2,5,6,7,4,3,8,1]=>[[.,[[[.,[.,[.,.]]],.],[.,.]]],.]
[7,6,1,4,3,2,5,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[7,4,1,3,5,6,2,8]=>[7,6,3,4,5,2,1,8]=>[2,3,6,5,4,7,8,1]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[3,4,7,1,5,6,8,2]=>[8,4,6,2,5,3,7,1]=>[1,5,3,7,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[3,6,7,4,1,2,8,5]=>[6,8,5,4,3,1,7,2]=>[3,1,4,5,6,8,2,7]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[4,3,2,7,1,6,8,5]=>[5,3,2,8,1,6,7,4]=>[4,6,7,1,8,3,2,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[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]=>[5,1,2,8,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,3,2,6,4,8,7,1]=>[8,5,3,4,2,7,6,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,5,4,2,8,6,7,1]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[4,1,2,7,5,6,8,3]=>[8,2,3,6,5,4,7,1]=>[1,7,6,3,4,5,2,8]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[5,6,7,4,2,8,3,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,5,7,4,6,8,3,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,5,2,4,3,8,6,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,6,1,8,5,4,7,3]=>[3,8,1,7,6,5,4,2]=>[6,1,8,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,2,8,5,6,4,3]=>[8,2,3,7,6,5,4,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[4,3,2,6,8,5,7,1]=>[8,3,2,6,7,4,5,1]=>[1,6,7,3,2,5,4,8]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]
[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]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[2,3,5,8,4,6,7,1]=>[8,2,5,7,3,6,4,1]=>[1,7,4,2,6,3,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[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]=>[1,3,6,5,2,7,4,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[6,1,8,3,5,4,7,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,8,2,3,4,6,7,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,2,1,7,8,5,4,3]=>[8,3,2,7,6,5,4,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[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]=>[3,5,6,7,2,8,4,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[7,5,6,1,2,3,8,4]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[3,1,7,8,5,4,2,6]=>[7,2,8,6,5,4,1,3]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[3,4,5,2,1,8,6,7]=>[5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[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]=>[2,4,1,3,7,5,8,6]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[3,2,7,8,6,1,4,5]=>[6,2,8,7,5,1,4,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[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]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,7,4,1,3,6,2,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,2,7,5,1,8,3,6]=>[7,5,8,4,2,6,1,3]=>[2,4,1,5,7,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[4,1,6,5,3,8,2,7]=>[7,2,5,4,3,8,1,6]=>[2,7,4,5,6,1,8,3]=>[[.,[[.,.],[.,[.,.]]]],[[.,.],.]]
[1,8,6,4,7,3,2,5]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,1,8,6,3,5,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[6,4,2,8,7,3,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,6,3,1,4,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[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]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,6,5,2,7,8,4,3]=>[1,8,7,4,5,6,3,2]=>[8,1,2,5,4,3,6,7]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[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]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[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]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[2,6,4,3,7,5,8,1]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[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]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[7,6,2,3,5,4,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,5,2,4,3,6,1,7]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[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]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[5,7,4,1,6,8,2,3]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,5,1,2,8,3,4,7]=>[7,6,3,4,8,2,1,5]=>[2,3,6,5,1,7,8,4]=>[[.,[.,[[.,.],.]]],[[.,[.,.]],.]]
[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]=>[8,2,1,3,4,5,7,6]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[5,8,1,6,7,4,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[1,7,8,4,6,2,3,5]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,1,8,4,6,2,3,5]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,6,5,4,7,2,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,1,6,8,7,3,2,5]=>[7,2,8,6,5,4,1,3]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,1,8,3,4,7,2,5]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,8,6,3,5,2,7,4]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,8,1,3,5,4,2,6]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,7,1,6,8,3,5,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,6,5,2,8,4,1,7]=>[7,6,4,3,8,2,1,5]=>[2,3,5,6,1,7,8,4]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,4,8,7,5,2,6,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,5,6,4,2,3,7,8]=>[1,6,5,4,3,2,7,8]=>[8,3,4,5,6,7,2,1]=>[[[[.,.],[.,[.,[.,[.,.]]]]],.],.]
[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]=>[5,7,1,8,2,3,4,6]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[1,8,7,3,2,5,4,6]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,2,5,4,8,7,3,6]=>[1,2,7,4,8,6,3,5]=>[8,7,2,5,1,3,6,4]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]
[1,2,4,8,6,3,5,7]=>[1,2,6,8,7,3,5,4]=>[8,7,3,1,2,6,4,5]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]
[1,5,2,4,7,3,8,6]=>[1,6,3,4,8,2,7,5]=>[8,3,6,5,1,7,2,4]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[1,2,7,6,8,4,3,5]=>[1,2,8,7,6,5,4,3]=>[8,7,1,2,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,6,3,2,5,7,8,4]=>[1,8,4,3,5,6,7,2]=>[8,1,5,6,4,3,2,7]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]
[1,7,3,4,2,6,8,5]=>[1,8,5,4,3,6,7,2]=>[8,1,4,5,6,3,2,7]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[1,6,3,5,8,4,2,7]=>[1,7,6,4,8,3,2,5]=>[8,2,3,5,1,6,7,4]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]
[1,2,5,8,4,6,3,7]=>[1,2,7,8,5,6,3,4]=>[8,7,2,1,4,3,6,5]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]
[4,1,8,6,2,3,7,5]=>[6,2,8,7,5,1,4,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[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]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,8,5,7,6,3,2,4]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,4,7,3,6,8,5,2]=>[1,8,7,4,5,6,3,2]=>[8,1,2,5,4,3,6,7]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[1,6,3,5,7,8,4,2]=>[1,8,7,4,5,6,3,2]=>[8,1,2,5,4,3,6,7]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[1,5,6,3,2,7,8,4]=>[1,8,5,4,3,6,7,2]=>[8,1,4,5,6,3,2,7]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[1,2,7,6,8,4,5,3]=>[1,2,8,7,6,5,4,3]=>[8,7,1,2,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,8,4,7,5,3,2,6]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[8,7,1,2,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[5,3,7,2,6,4,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[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]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,6,2,4,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,6,2,4,3,5,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,6,2,3,5,4,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[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]=>[3,1,5,6,2,8,4,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[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]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[5,7,1,3,4,2,8,6]=>[6,8,3,5,4,1,7,2]=>[3,1,6,4,5,8,2,7]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[7,3,5,6,4,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[1,7,3,8,2,5,6,4]=>[1,8,5,7,3,6,4,2]=>[8,1,4,2,6,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,5,3,7,8,4,6,2]=>[1,8,6,7,5,3,4,2]=>[8,1,3,2,4,6,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[1,5,7,3,8,2,6,4]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,7,3,5,8,4,2,6]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,3,7,5,8,6,2,4]=>[1,7,8,6,5,4,2,3]=>[8,2,1,3,4,5,7,6]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[1,7,8,5,3,6,2,4]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,7,5,8,3,4,2,6]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,5,6,4,1,2,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[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]=>[2,3,6,1,4,7,8,5]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[5,3,7,6,8,1,2,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,1,2,7,5,8,4,6]=>[3,2,1,8,7,6,5,4]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[3,1,2,5,7,8,6,4]=>[3,2,1,8,7,6,5,4]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[7,3,1,5,4,6,2,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[5,3,1,7,4,6,8,2]=>[8,5,3,6,2,4,7,1]=>[1,4,6,3,7,5,2,8]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[5,3,7,1,2,6,8,4]=>[8,5,6,4,2,3,7,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[7,4,8,3,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,7,6,4,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,4,8,2,5,6,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,1,4,8,5,2,7,3]=>[8,2,6,7,5,3,4,1]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[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]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[2,3,8,1,5,6,4,7]=>[4,2,8,1,7,6,5,3]=>[5,7,1,8,2,3,4,6]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[5,1,8,2,4,6,7,3]=>[8,2,7,4,5,6,3,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[4,1,8,2,3,6,7,5]=>[5,2,8,4,1,7,6,3]=>[4,7,1,5,8,2,3,6]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[5,2,3,8,1,7,4,6]=>[7,5,3,8,2,6,1,4]=>[2,4,6,1,7,3,8,5]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[2,3,5,7,1,6,4,8]=>[5,2,7,6,1,4,3,8]=>[4,7,2,3,8,5,6,1]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[1,5,3,8,2,4,6,7]=>[1,6,5,8,3,2,7,4]=>[8,3,4,1,6,7,2,5]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[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]=>[6,1,8,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[5,7,6,1,3,2,8,4]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,1,7,5,3,6,4,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,6,5,3,7,4,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,1,5,4,6,3,7,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[2,5,6,1,7,4,3,8]=>[4,7,6,1,5,3,2,8]=>[5,2,3,8,4,6,7,1]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[2,7,1,8,6,5,4,3]=>[3,8,1,7,6,5,4,2]=>[6,1,8,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[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]=>[2,3,4,5,6,7,8,9,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[6,4,2,7,1,3,5,8,9]=>[7,6,5,4,3,2,1,8,9]=>[3,4,5,6,7,8,9,2,1]=>[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.]
[8,6,4,2,9,1,3,5,7,10]=>[9,8,7,6,5,4,3,2,1,10]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[6,2,8,3,1,4,5,7]=>[7,5,8,4,2,6,1,3]=>[2,4,1,5,7,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[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]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[2,7,8,3,1,4,5,6]=>[5,8,7,4,1,6,3,2]=>[4,1,2,5,8,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[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]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[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]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[9,7,5,3,1,2,4,6,8,10]=>[9,8,7,6,5,4,3,2,1,10]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[1,8,5,3,2,6,7,4]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,7,8,5,6,3,2,4]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,7,5,2,3,4,8,6]=>[1,8,6,4,5,3,7,2]=>[8,1,3,5,4,6,2,7]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[1,7,5,2,4,8,6,3]=>[1,8,7,4,5,6,3,2]=>[8,1,2,5,4,3,6,7]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[1,6,7,8,3,2,4,5]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,4,8,6,2,3,5,7]=>[1,6,8,7,5,2,4,3]=>[8,3,1,2,4,7,5,6]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]
[1,8,4,5,6,7,2,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,2,8,6,3,4,5,7]=>[1,2,8,7,5,6,4,3]=>[8,7,1,2,4,3,5,6]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[1,2,8,6,3,5,7,4]=>[1,2,8,7,5,6,4,3]=>[8,7,1,2,4,3,5,6]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[1,2,7,8,4,3,5,6]=>[1,2,8,7,6,5,4,3]=>[8,7,1,2,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,8,6,7,4,2,3,5]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,6,7,8,4,2,3,5]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,6,7,8,3,4,2,5]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,7,4,2,3,8,5,6]=>[1,8,5,4,3,7,6,2]=>[8,1,4,5,6,2,3,7]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[1,7,8,4,2,3,5,6]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,7,8,3,4,2,5,6]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,2,3,7,8,5,4,6]=>[1,2,3,8,7,6,5,4]=>[8,7,6,1,2,3,4,5]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[1,2,7,4,6,3,8,5]=>[1,2,8,6,5,4,7,3]=>[8,7,1,3,4,5,2,6]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]
[1,7,8,4,5,2,3,6]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,7,8,3,4,5,2,6]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,2,8,4,5,6,3,7]=>[1,2,8,7,5,6,4,3]=>[8,7,1,2,4,3,5,6]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[1,8,4,5,6,2,3,7]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,1,8,2,6,4,7,3]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[5,1,8,3,6,7,4,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,1,8,4,6,2,7,5]=>[6,2,8,4,7,1,5,3]=>[3,7,1,5,2,8,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[8,4,1,6,5,2,3,7]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,8,7,6,4,3,5,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,1,8,7,5,3,4,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[3,2,4,7,5,8,1,6]=>[7,2,3,8,5,6,1,4]=>[2,7,6,1,4,3,8,5]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[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]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[5,3,2,6,7,4,8,1]=>[8,6,3,4,5,2,7,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[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]=>[1,4,6,3,7,5,2,8]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[3,2,7,5,4,8,6,1]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[3,7,5,2,4,8,6,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,3,7,5,4,8,6,1]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[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]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[3,8,5,2,1,4,6,7]=>[5,8,6,4,1,3,7,2]=>[4,1,3,5,8,6,2,7]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]
[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]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,1,6,7,3,4,2,5]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,2,1,6,7,4,3,5]=>[8,3,2,7,6,5,4,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[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]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,2,3,4,5,6,9,10,7,8]=>[1,2,3,4,5,6,10,9,8,7]=>[10,9,8,7,6,5,1,2,3,4]=>[[[[[[[.,.],.],.],.],.],.],[.,[.,[.,.]]]]
[7,10,1,2,3,4,5,9,6,8]=>[9,10,3,4,5,6,7,8,1,2]=>[2,1,8,7,6,5,4,3,10,9]=>[[.,.],[[[[[[.,.],.],.],.],.],[[.,.],.]]]
[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]=>[2,4,1,5,7,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[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]=>[4,1,5,6,8,2,3,7]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[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]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[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]=>[7,8,6,1,2,3,4,5]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]
[7,3,1,2,8,4,5,6]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[2,1,4,7,6,3,5,8]=>[2,1,6,7,5,3,4,8]=>[7,8,3,2,4,6,5,1]=>[[[[.,[.,.]],.],[.,[[.,.],.]]],.]
[7,2,4,5,3,8,1,6]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,4,2,5,6,7,3,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,5,1,3,6,7,8,2]=>[8,4,3,2,5,6,7,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,[.,[.,.]]],.],.],[.,.]]]
[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]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[1,5,8,2,4,7,6,3]=>[1,8,7,4,5,6,3,2]=>[8,1,2,5,4,3,6,7]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[5,8,1,6,4,7,3,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,6,8,2,7,4,5,3]=>[1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,6,2,1,8,3,4,7]=>[7,6,4,3,8,2,1,5]=>[2,3,5,6,1,7,8,4]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[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]=>[2,7,4,5,6,1,8,3]=>[[.,[[.,.],[.,[.,.]]]],[[.,.],.]]
[2,7,4,8,6,1,5,3]=>[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[8,1,2,5,4,3,6,7]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[6,2,3,5,7,1,4,8]=>[7,6,3,4,5,2,1,8]=>[2,3,6,5,4,7,8,1]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[7,1,3,6,8,5,2,4]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,2,8,5,1,6,3,7]=>[7,5,8,4,2,6,1,3]=>[2,4,1,5,7,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[3,8,2,4,5,1,6,7]=>[6,8,3,4,5,1,7,2]=>[3,1,6,5,4,8,2,7]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]
[3,6,2,4,1,5,7,8]=>[5,6,3,4,1,2,7,8]=>[4,3,6,5,8,7,2,1]=>[[[[.,.],[[.,.],[[.,.],.]]],.],.]
[2,3,8,4,1,6,5,7]=>[5,2,8,4,1,7,6,3]=>[4,7,1,5,8,2,3,6]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[2,3,1,4,8,5,7,6]=>[3,2,1,4,8,6,7,5]=>[6,7,8,5,1,3,2,4]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]
[4,2,6,1,5,8,7,3]=>[8,4,5,2,3,7,6,1]=>[1,5,4,7,6,2,3,8]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[7,5,1,8,4,3,6,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,1,8,5,7,6,4,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,1,8,7,4,6,3,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,5,7,6,2,8,4,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,1,4,3,8,7,5,2]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,3,1,8,7,4,2,5]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[2,8,4,1,3,7,6,5]=>[4,8,5,1,3,7,6,2]=>[5,1,4,8,6,2,3,7]=>[[.,.],[[.,[[.,.],.]],[.,[.,.]]]]
[6,2,3,8,7,5,4,1]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[5,3,6,2,8,4,7,1]=>[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[8,1,6,3,7,4,5,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,2,6,7,1,5,3,4]=>[8,5,7,6,2,4,3,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[7,1,5,2,6,3,4,8]=>[7,2,6,4,5,3,1,8]=>[2,7,3,5,4,6,8,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[3,7,1,5,2,6,8,4]=>[5,8,3,6,1,4,7,2]=>[4,1,6,3,8,5,2,7]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]
[6,7,1,8,3,4,5,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,7,1,6,8,4,5,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[3,1,6,4,5,8,2,7]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,8,6,4,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,7,1,4,5,2,8,6]=>[6,8,3,4,5,1,7,2]=>[3,1,6,5,4,8,2,7]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]
[2,3,7,6,5,8,1,4]=>[7,2,8,5,4,6,1,3]=>[2,7,1,4,5,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[6,7,8,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[2,3,4,5,6,7,8,9,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[6,5,7,8,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[2,3,4,5,6,7,8,9,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[6,5,4,7,8,3,2,1,9]=>[8,7,6,4,5,3,2,1,9]=>[2,3,4,6,5,7,8,9,1]=>[[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]],.]
[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]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[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]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[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]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[2,1,8,9,10,11,12,3,4,5,6,7]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[11,12,1,2,3,4,5,6,7,8,9,10]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[4,5,6,1,2,3,10,11,12,7,8,9]=>[6,5,4,3,2,1,12,11,10,9,8,7]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,[.,[.,.]]]]]]
[6,2,4,3,7,5,1,8]=>[7,6,4,3,5,2,1,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[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]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,2,5,3,7,4,1,8]=>[7,6,4,3,5,2,1,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[5,2,7,3,6,4,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,3,6,2,5,4,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,3,1,4,6,5,2,8]=>[7,6,3,4,5,2,1,8]=>[2,3,6,5,4,7,8,1]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[8,3,7,2,5,4,1,6]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,2,8,4,6,5,1,7]=>[7,2,8,4,6,5,1,3]=>[2,7,1,5,3,4,8,6]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[1,4,7,3,6,5,2,8]=>[1,7,6,4,5,3,2,8]=>[8,2,3,5,4,6,7,1]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[8,2,6,4,1,5,3,7]=>[8,5,7,6,2,4,3,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[6,2,1,4,8,5,3,7]=>[7,3,2,6,8,4,1,5]=>[2,6,7,3,1,5,8,4]=>[[.,[[.,[.,.]],.]],[[.,[.,.]],.]]
[5,2,1,4,8,6,3,7]=>[7,3,2,4,8,6,1,5]=>[2,6,7,5,1,3,8,4]=>[[.,[[.,[.,.]],.]],[.,[[.,.],.]]]
[4,2,8,3,7,5,1,6]=>[7,4,8,2,6,5,1,3]=>[2,5,1,7,3,4,8,6]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[8,3,7,2,6,4,1,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[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]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,2,7,4,8,5,1,6]=>[7,2,8,4,6,5,1,3]=>[2,7,1,5,3,4,8,6]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[5,2,6,3,8,4,1,7]=>[7,6,4,3,8,2,1,5]=>[2,3,5,6,1,7,8,4]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[6,2,5,3,8,4,1,7]=>[7,6,4,3,8,2,1,5]=>[2,3,5,6,1,7,8,4]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[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]=>[8,2,3,5,1,6,7,4]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]
[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]=>[2,3,5,6,1,7,8,4]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[5,2,4,3,8,6,1,7]=>[7,4,3,2,8,6,1,5]=>[2,5,6,7,1,3,8,4]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]
[4,2,5,3,8,6,1,7]=>[7,4,3,2,8,6,1,5]=>[2,5,6,7,1,3,8,4]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]
[4,2,5,3,1,7,6,8]=>[5,4,3,2,1,7,6,8]=>[4,5,6,7,8,2,3,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[6,2,4,3,1,7,5,8]=>[7,5,4,3,2,6,1,8]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[7,2,4,3,1,6,5,8]=>[7,5,4,3,2,6,1,8]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[8,5,1,3,6,4,2,7]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,2,5,3,1,7,4,8]=>[7,5,4,3,2,6,1,8]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[3,2,6,4,1,7,5,8]=>[5,2,7,4,1,6,3,8]=>[4,7,2,5,8,3,6,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[3,2,7,4,1,6,5,8]=>[5,2,7,4,1,6,3,8]=>[4,7,2,5,8,3,6,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[1,5,2,4,8,6,3,7]=>[1,7,3,4,8,6,2,5]=>[8,2,6,5,1,3,7,4]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]
[3,2,1,6,4,7,5,8]=>[3,2,1,7,5,6,4,8]=>[6,7,8,2,4,3,5,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[3,2,8,5,1,6,4,7]=>[5,2,8,7,1,6,4,3]=>[4,7,1,2,8,3,5,6]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[6,2,8,4,1,5,3,7]=>[7,5,8,6,2,4,1,3]=>[2,4,1,3,7,5,8,6]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[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]=>[2,4,5,6,7,1,8,3]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[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]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[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]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[8,7,6,5,3,2,1,4,9]=>[8,7,6,5,4,3,2,1,9]=>[2,3,4,5,6,7,8,9,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[8,7,6,4,3,2,1,5,9]=>[8,7,6,5,4,3,2,1,9]=>[2,3,4,5,6,7,8,9,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[8,7,5,4,3,2,1,6,9]=>[8,7,6,5,4,3,2,1,9]=>[2,3,4,5,6,7,8,9,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[8,7,6,5,4,1,2,3,9]=>[8,7,6,5,4,3,2,1,9]=>[2,3,4,5,6,7,8,9,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[9,8,7,6,5,4,2,1,3,10]=>[9,8,7,6,5,4,3,2,1,10]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[8,7,6,5,2,3,1,4,9]=>[8,7,6,5,4,3,2,1,9]=>[2,3,4,5,6,7,8,9,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[9,8,7,6,5,3,2,1,4,10]=>[9,8,7,6,5,4,3,2,1,10]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[8,7,6,3,4,2,1,5,9]=>[8,7,6,5,4,3,2,1,9]=>[2,3,4,5,6,7,8,9,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[9,8,7,6,4,3,2,1,5,10]=>[9,8,7,6,5,4,3,2,1,10]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[8,7,4,5,3,2,1,6,9]=>[8,7,6,5,4,3,2,1,9]=>[2,3,4,5,6,7,8,9,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[9,8,7,5,4,3,2,1,6,10]=>[9,8,7,6,5,4,3,2,1,10]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[8,5,6,4,3,2,1,7,9]=>[8,7,6,5,4,3,2,1,9]=>[2,3,4,5,6,7,8,9,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[9,8,6,5,4,3,2,1,7,10]=>[9,8,7,6,5,4,3,2,1,10]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[6,7,5,4,3,2,1,8,9]=>[7,6,5,4,3,2,1,8,9]=>[3,4,5,6,7,8,9,2,1]=>[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.]
[8,6,2,3,1,5,7,4]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,5,1,7,4,8,6,3]=>[3,8,1,7,5,6,4,2]=>[6,1,8,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[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]=>[8,4,6,1,7,3,2,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[3,2,1,7,8,5,4,6]=>[3,2,1,8,7,6,5,4]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[1,6,3,2,4,7,8,5]=>[1,8,4,3,5,6,7,2]=>[8,1,5,6,4,3,2,7]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]
[1,2,3,7,5,8,4,6]=>[1,2,3,8,7,6,5,4]=>[8,7,6,1,2,3,4,5]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[4,7,8,1,5,6,2,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,3,7,6,2,4,5,8]=>[1,5,7,6,2,4,3,8]=>[8,4,2,3,7,5,6,1]=>[[[[.,.],.],[.,[[.,.],[.,.]]]],.]
[2,7,3,8,4,5,6,1]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,1,4,3,8,5,6,2]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,2,5,8,1,6,3,4]=>[8,5,7,6,2,4,3,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[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]=>[5,1,4,8,6,3,2,7]=>[[.,.],[[[.,[[.,.],.]],.],[.,.]]]
[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]=>[1,3,4,5,6,7,8,2,9]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]]
[1,2,8,4,6,3,5,7]=>[1,2,8,6,7,4,5,3]=>[8,7,1,3,2,5,4,6]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[2,6,1,5,4,7,3,8]=>[3,7,1,5,4,6,2,8]=>[6,2,8,4,5,3,7,1]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[1,2,8,5,4,6,3,7]=>[1,2,8,7,5,6,4,3]=>[8,7,1,2,4,3,5,6]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[1,3,6,8,4,5,7,2]=>[1,8,6,7,5,3,4,2]=>[8,1,3,2,4,6,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[1,2,8,4,6,3,7,5]=>[1,2,8,6,7,4,5,3]=>[8,7,1,3,2,5,4,6]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[2,7,6,5,1,4,8,3]=>[5,8,6,4,1,3,7,2]=>[4,1,3,5,8,6,2,7]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]
[2,7,4,8,1,3,6,5]=>[5,8,6,7,1,3,4,2]=>[4,1,3,2,8,6,5,7]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]
[2,3,6,8,4,1,7,5]=>[6,2,8,7,5,1,4,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[1,2,6,8,4,7,5,3]=>[1,2,8,7,6,5,4,3]=>[8,7,1,2,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,2,8,6,3,5,4]=>[1,8,3,7,6,5,4,2]=>[8,1,6,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[2,3,8,5,4,7,1,6]=>[7,2,8,5,4,6,1,3]=>[2,7,1,4,5,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[1,2,8,4,7,3,5,6]=>[1,2,8,6,7,4,5,3]=>[8,7,1,3,2,5,4,6]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[2,6,1,4,8,3,7,5]=>[3,8,1,6,7,4,5,2]=>[6,1,8,3,2,5,4,7]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[3,7,6,5,2,1,4,8]=>[6,7,5,4,3,1,2,8]=>[3,2,4,5,6,8,7,1]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[2,5,6,1,4,8,7,3]=>[4,8,5,1,3,7,6,2]=>[5,1,4,8,6,2,3,7]=>[[.,.],[[.,[[.,.],.]],[.,[.,.]]]]
[8,4,2,3,7,1,6,5]=>[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[5,2,4,8,7,3,1,6]=>[7,6,3,8,5,2,1,4]=>[2,3,6,1,4,7,8,5]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[8,3,2,6,7,4,1,5]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,2,4,6,7,8,1,5]=>[7,2,3,8,5,6,1,4]=>[2,7,6,1,4,3,8,5]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,1,5,2,6,4,3,8]=>[7,2,6,4,5,3,1,8]=>[2,7,3,5,4,6,8,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[3,6,5,2,1,8,4,7]=>[5,7,4,3,1,8,2,6]=>[4,2,5,6,8,1,7,3]=>[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]
[6,7,2,4,3,5,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,5,3,7,2,1,6,8]=>[6,5,3,7,2,1,4,8]=>[3,4,6,2,7,8,5,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[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]=>[2,4,1,5,7,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[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]=>[4,5,1,7,8,2,3,6]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[3,6,7,4,5,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,5,7,4,6,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,3,7,6,2,4,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,6,7,2,5,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,5,1,7,6,4,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,5,8,2,6,4,7,3]=>[1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,5,7,4,6,8,3,2]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,4,7,5,6,8,3,2]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[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]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[4,8,1,7,2,5,6,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,2,7,6,5,8,1,4]=>[7,2,8,5,4,6,1,3]=>[2,7,1,4,5,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[1,7,3,4,5,8,2,6]=>[1,8,7,4,5,6,3,2]=>[8,1,2,5,4,3,6,7]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[7,1,8,4,5,6,3,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,2,7,4,5,8,3,6]=>[1,2,8,7,5,6,4,3]=>[8,7,1,2,4,3,5,6]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[8,1,9,4,5,6,7,3,2]=>[9,2,8,7,6,5,4,3,1]=>[1,8,2,3,4,5,6,7,9]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,1,3,9,5,6,7,4,2]=>[9,2,8,7,6,5,4,3,1]=>[1,8,2,3,4,5,6,7,9]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,1,8,4,5,3,7,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,9,2,3,4,5,6,7,8,10]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[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]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[7,3,5,2,1,6,8,4]=>[8,5,6,4,2,3,7,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[1,5,8,7,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,2,1,3,6,8,4]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[3,7,2,6,8,1,5,4]=>[6,8,3,7,5,1,4,2]=>[3,1,6,2,4,8,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[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]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[1,6,4,5,7,3,8,2]=>[1,8,6,4,5,3,7,2]=>[8,1,3,5,4,6,2,7]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[1,5,4,7,8,6,2,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,1,6,8,5,2,4,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,6,2,1,4,7,8,5]=>[4,8,3,1,5,6,7,2]=>[5,1,6,8,4,3,2,7]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,6,3,2,1,5,4,7]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,5,3,2,4,1,7,6]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,5,2,4,3,6,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,5,1,4,6,3,2,7]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,5,1,6,3,4,2,7]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,4,3,2,8,7,1,5]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[8,5,4,2,1,3,7,6]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,7,3,6,1,8,5,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,6,2,4,1,5,8,3]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,1,6,3,7,4,2,5]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,3,6,2,4,5,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,6,4,1,3,2,8,5]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,2,5,7,4,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,1,6,3,8,5,2,4]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,2,6,8,1,3,5,4]=>[8,5,7,6,2,4,3,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[7,2,8,5,1,3,6,4]=>[8,5,7,6,2,4,3,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[7,1,8,5,3,2,6,4]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,1,8,2,5,6,4,3]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,1,5,8,7,2,4,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,1,5,7,4,8,3,2]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[6,1,5,7,8,3,4,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,6,7,3,1,8,5,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,2,6,3,1,8,7,5]=>[5,4,8,2,1,7,6,3]=>[4,5,1,7,8,2,3,6]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[1,5,3,8,4,6,2,7]=>[1,7,5,8,3,6,2,4]=>[8,2,4,1,6,3,7,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[7,2,3,5,8,4,1,6]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,4,6,3,7,5,2,8]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,1,8,5,7,6,2,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[2,7,3,1,4,6,8,5]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]
[6,7,5,1,3,2,4,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,2,6,8,3,7,1,5]=>[7,5,8,6,2,4,1,3]=>[2,4,1,3,7,5,8,6]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,5,8,3,6,4,7,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,8,2,6,5,3,7,4]=>[1,8,3,7,6,5,4,2]=>[8,1,6,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[3,8,1,7,2,6,5,4]=>[5,8,3,7,1,6,4,2]=>[4,1,6,2,8,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[8,1,2,4,6,5,7,3]=>[8,2,3,7,6,5,4,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[5,1,8,3,7,4,6,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,6,4,2,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[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]=>[8,1,6,3,4,5,2,7]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[7,5,1,6,3,2,4,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[7,1,2,6,3,4,5,8]=>[7,2,3,6,5,4,1,8]=>[2,7,6,3,4,5,8,1]=>[[.,[[[.,.],.],[.,[.,[.,.]]]]],.]
[7,3,1,4,6,2,5,8]=>[7,6,3,4,5,2,1,8]=>[2,3,6,5,4,7,8,1]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[5,8,4,3,1,7,2,6]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[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]=>[8,3,1,5,2,7,4,6]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[3,2,1,4,5,8,6,7]=>[3,2,1,4,5,8,7,6]=>[6,7,8,5,4,1,2,3]=>[[[[.,[.,[.,.]]],.],.],[.,[.,.]]]
[5,4,3,1,7,2,8,6]=>[6,4,3,2,8,1,7,5]=>[3,5,6,7,1,8,2,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[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]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[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]=>[8,3,1,2,4,7,5,6]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]
[2,6,3,7,1,4,5,8]=>[5,7,3,6,1,4,2,8]=>[4,2,6,3,8,5,7,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[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]=>[3,2,4,5,6,8,7,1]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[6,2,3,5,8,4,1,7]=>[7,6,3,4,8,2,1,5]=>[2,3,6,5,1,7,8,4]=>[[.,[.,[[.,.],.]]],[[.,[.,.]],.]]
[4,7,6,1,5,8,3,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,8,2,3,4,5,6,7,9]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[7,2,6,1,5,8,3,4]=>[8,4,7,2,5,6,3,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[4,7,3,8,6,2,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[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]=>[2,4,6,3,7,5,8,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[1,7,2,8,5,4,3,6]=>[1,8,3,7,6,5,4,2]=>[8,1,6,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[6,8,2,5,7,1,4,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[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]=>[1,7,2,5,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[8,6,1,3,4,5,7,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,3,1,2,4,6,7,5]=>[8,4,3,2,5,7,6,1]=>[1,5,6,7,4,2,3,8]=>[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]
[3,1,7,5,8,2,4,6]=>[6,2,8,7,5,1,4,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[8,1,5,6,4,2,3,7]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,6,5,4,3,2,7]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,6,8,1,5,4,3,7]=>[4,7,8,1,6,5,2,3]=>[5,2,1,8,3,4,7,6]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]
[3,5,8,2,1,4,7,6]=>[5,6,8,4,1,2,7,3]=>[4,3,1,5,8,7,2,6]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]
[6,4,5,1,8,3,2,7]=>[7,6,4,3,8,2,1,5]=>[2,3,5,6,1,7,8,4]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[5,4,7,8,3,1,2,6]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[4,5,8,1,3,7,2,6]=>[7,5,8,4,2,6,1,3]=>[2,4,1,5,7,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[1,5,3,6,8,7,2,4]=>[1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[8,2,1,6,5,7,3,4]=>[8,3,2,7,6,5,4,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[3,1,8,6,5,7,2,4]=>[7,2,8,6,5,4,1,3]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[1,2,7,6,4,5,8,3]=>[1,2,8,6,5,4,7,3]=>[8,7,1,3,4,5,2,6]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]
[6,4,2,1,8,7,3,5]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[4,2,5,3,8,7,1,6]=>[7,4,3,2,8,6,1,5]=>[2,5,6,7,1,3,8,4]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]
[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]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[5,3,4,7,1,6,2,8]=>[7,5,3,6,2,4,1,8]=>[2,4,6,3,7,5,8,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[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]=>[4,7,1,5,8,2,3,6]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[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]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,1,3,7,8,2,6,5]=>[6,2,3,8,7,1,5,4]=>[3,7,6,1,2,8,4,5]=>[[.,[[.,.],.]],[.,[[.,.],[.,.]]]]
[7,1,4,8,6,5,2,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,3,4,2,1,7,5,6]=>[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[4,6,2,7,5,8,1,3]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,2,1,4,3,7,6,8]=>[5,3,2,4,1,7,6,8]=>[4,6,7,5,8,2,3,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[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]=>[2,6,7,3,1,5,8,4]=>[[.,[[.,[.,.]],.]],[[.,[.,.]],.]]
[2,3,8,7,1,5,4,6]=>[5,2,8,7,1,6,4,3]=>[4,7,1,2,8,3,5,6]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[4,3,8,1,5,2,6,7]=>[6,4,8,2,5,1,7,3]=>[3,5,1,7,4,8,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[4,1,3,6,7,2,8,5]=>[6,2,3,8,5,1,7,4]=>[3,7,6,1,4,8,2,5]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]
[7,1,4,5,8,2,6,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,1,3,2,4,5,8,7]=>[6,2,4,3,5,1,8,7]=>[3,7,5,6,4,8,1,2]=>[[.,[[[.,.],[.,.]],[.,.]]],[.,.]]
[7,8,1,6,5,2,4,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,3,8,2,7,5,1,6]=>[7,4,8,2,6,5,1,3]=>[2,5,1,7,3,4,8,6]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[4,5,7,8,3,2,1,6]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[5,7,3,4,2,6,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,7,4,2,3,6,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,4,7,3,2,8,1,6]=>[7,5,8,4,2,6,1,3]=>[2,4,1,5,7,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[6,4,3,8,5,1,2,7]=>[7,6,5,8,3,2,1,4]=>[2,3,4,1,6,7,8,5]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[6,4,8,2,3,5,1,7]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[5,4,6,8,2,3,1,7]=>[7,6,5,8,3,2,1,4]=>[2,3,4,1,6,7,8,5]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[5,6,8,4,1,2,3,7]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[6,4,8,5,1,2,3,7]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[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]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[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]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[8,1,5,4,6,2,7,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,6,3,2,8,5,7,1]=>[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[7,4,3,2,5,1,8,6]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[3,6,8,5,2,1,7,4]=>[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[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]=>[8,3,1,5,2,7,4,6]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[5,4,8,3,2,7,1,6]=>[7,5,8,4,2,6,1,3]=>[2,4,1,5,7,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[5,4,3,7,2,1,6,8]=>[6,5,3,7,2,1,4,8]=>[3,4,6,2,7,8,5,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[5,4,3,7,8,2,1,6]=>[7,6,3,8,5,2,1,4]=>[2,3,6,1,4,7,8,5]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[1,4,8,6,3,2,7,5]=>[1,6,8,7,5,2,4,3]=>[8,3,1,2,4,7,5,6]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]
[4,1,8,6,2,5,7,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,7,2,5,3,8,4,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,3,4,8,1,2,7,5]=>[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[6,2,8,1,7,4,5,3]=>[8,4,7,2,6,5,3,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,1,3,2,6,5,8,4]=>[8,2,4,3,6,5,7,1]=>[1,7,5,6,3,4,2,8]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[8,7,6,4,5,3,2,9,1]=>[9,7,6,5,4,3,2,8,1]=>[1,3,4,5,6,7,8,2,9]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]]
[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]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[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]=>[2,3,4,1,6,7,8,5]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[5,1,6,8,4,7,3,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,4,1,8,7,6,3,5]=>[3,7,1,8,6,5,2,4]=>[6,2,8,1,3,4,7,5]=>[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]
[1,3,5,8,4,7,2,6]=>[1,7,5,8,3,6,2,4]=>[8,2,4,1,6,3,7,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[2,3,8,7,5,1,6,4]=>[6,2,8,7,5,1,4,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,3,5,6,8,2,7,1]=>[8,6,3,4,7,2,5,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[8,2,3,4,6,1,7,5]=>[8,6,3,4,7,2,5,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[1,7,4,3,5,2,8,6]=>[1,8,6,4,5,3,7,2]=>[8,1,3,5,4,6,2,7]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[2,7,4,3,8,1,5,6]=>[6,8,4,3,7,1,5,2]=>[3,1,5,6,2,8,4,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[3,8,2,7,6,4,1,5]=>[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[5,3,6,2,1,8,4,7]=>[7,5,4,3,2,8,1,6]=>[2,4,5,6,7,1,8,3]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[4,3,8,6,2,7,1,5]=>[7,5,8,6,2,4,1,3]=>[2,4,1,3,7,5,8,6]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[8,2,1,4,6,3,7,5]=>[8,3,2,6,7,4,5,1]=>[1,6,7,3,2,5,4,8]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]
[3,1,6,8,2,7,5,4]=>[5,2,8,7,1,6,4,3]=>[4,7,1,2,8,3,5,6]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[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]=>[8,1,6,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[4,7,1,2,6,5,8,3]=>[8,6,3,4,5,2,7,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[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]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,3,4,5,1,6,7,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,8,1,5,6,3,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,7,8,3,2,5,4,6]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[7,8,1,3,5,4,6,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,8,1,3,5,2,4,6]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,3,7,8,5,2,4,6]=>[1,6,8,7,5,2,4,3]=>[8,3,1,2,4,7,5,6]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]
[1,7,8,3,5,2,6,4]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,7,8,3,2,5,6,4]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[1,3,7,8,5,4,6,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,3,7,8,5,4,2,6]=>[1,7,8,6,5,4,2,3]=>[8,2,1,3,4,5,7,6]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[1,3,7,8,2,5,4,6]=>[1,5,8,7,2,6,4,3]=>[8,4,1,2,7,3,5,6]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[1,3,2,7,8,5,4,6]=>[1,3,2,8,7,6,5,4]=>[8,6,7,1,2,3,4,5]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]
[1,5,7,6,8,3,2,4]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,5,4,7,8,6,1,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,5,7,4,6,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,2,4,1,8,3,6,7]=>[6,4,3,2,8,1,7,5]=>[3,5,6,7,1,8,2,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[2,1,7,4,3,8,5,6]=>[2,1,8,5,4,7,6,3]=>[7,8,1,4,5,2,3,6]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[7,2,3,8,5,4,1,6]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[8,9,10,1,2,3,4,5,6,7]=>[[.,[.,[.,.]]],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[4,5,6,7,8,9,10,1,2,3]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,[.,.]]]
[7,6,5,2,3,4,1,10,8,9]=>[7,6,5,4,3,2,1,10,9,8]=>[4,5,6,7,8,9,10,1,2,3]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,[.,.]]]
[9,8,5,2,7,3,4,6,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[9,8,7,6,2,3,4,5,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[1,10,9,8,7,2,3,4,5,6]=>[1,10,9,8,7,6,5,4,3,2]=>[10,1,2,3,4,5,6,7,8,9]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[5,4,2,3,1,12,11,10,6,7,8,9]=>[5,4,3,2,1,12,11,10,9,8,7,6]=>[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]=>[2,3,4,5,6,7,8,9,10,11,12,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]],.]
[11,10,5,2,9,8,3,4,6,7,1,12]=>[11,10,9,8,7,6,5,4,3,2,1,12]=>[2,3,4,5,6,7,8,9,10,11,12,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]],.]
[11,10,7,6,2,3,9,4,5,8,1,12]=>[11,10,9,8,7,6,5,4,3,2,1,12]=>[2,3,4,5,6,7,8,9,10,11,12,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]],.]
[11,10,9,6,2,8,3,4,5,7,1,12]=>[11,10,9,8,7,6,5,4,3,2,1,12]=>[2,3,4,5,6,7,8,9,10,11,12,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]],.]
[11,10,9,8,7,2,3,4,5,6,1,12]=>[11,10,9,8,7,6,5,4,3,2,1,12]=>[2,3,4,5,6,7,8,9,10,11,12,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]],.]
[1,12,11,10,9,8,2,3,4,5,6,7]=>[1,12,11,10,9,8,7,6,5,4,3,2]=>[12,1,2,3,4,5,6,7,8,9,10,11]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]
[1,4,8,2,3,6,5,7]=>[1,5,8,4,2,7,6,3]=>[8,4,1,5,7,2,3,6]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]
[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]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,7,3,2,4,5,8,6]=>[1,8,4,3,5,6,7,2]=>[8,1,5,6,4,3,2,7]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]
[1,6,4,3,2,5,7,8]=>[1,6,5,4,3,2,7,8]=>[8,3,4,5,6,7,2,1]=>[[[[.,.],[.,[.,[.,[.,.]]]]],.],.]
[4,2,6,5,3,1,7,8]=>[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[5,2,1,6,8,7,4,3]=>[8,3,2,7,6,5,4,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[1,3,5,8,6,2,7,4]=>[1,6,8,7,5,2,4,3]=>[8,3,1,2,4,7,5,6]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]
[2,3,8,4,1,7,6,5]=>[5,2,8,4,1,7,6,3]=>[4,7,1,5,8,2,3,6]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,3,8,5,7,4,2,6]=>[1,7,8,6,5,4,2,3]=>[8,2,1,3,4,5,7,6]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[1,2,3,7,5,4,6,8]=>[1,2,3,7,6,5,4,8]=>[8,7,6,2,3,4,5,1]=>[[[[[.,.],.],.],[.,[.,[.,.]]]],.]
[1,4,2,8,6,3,5,7]=>[1,6,3,8,7,2,5,4]=>[8,3,6,1,2,7,4,5]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]
[2,8,6,3,5,7,4,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,1,8,2,5,3,4,7]=>[7,2,8,4,6,5,1,3]=>[2,7,1,5,3,4,8,6]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[3,8,6,4,2,7,1,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[6,1,5,2,3,4,8,7]=>[6,2,5,4,3,1,8,7]=>[3,7,4,5,6,8,1,2]=>[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]
[6,5,2,1,7,3,4,8]=>[7,6,4,3,5,2,1,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[3,1,2,4,8,6,7,5]=>[3,2,1,4,8,7,6,5]=>[6,7,8,5,1,2,3,4]=>[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]
[6,5,2,1,8,4,7,3]=>[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[5,6,2,4,3,8,1,7]=>[7,5,4,3,2,8,1,6]=>[2,4,5,6,7,1,8,3]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[2,3,6,4,7,5,1,8]=>[7,2,6,4,5,3,1,8]=>[2,7,3,5,4,6,8,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[2,3,5,7,4,8,1,6]=>[7,2,5,8,3,6,1,4]=>[2,7,4,1,6,3,8,5]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[8,3,2,4,1,7,6,5]=>[8,5,3,4,2,7,6,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[3,7,6,1,2,5,8,4]=>[5,8,6,4,1,3,7,2]=>[4,1,3,5,8,6,2,7]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]
[4,7,1,6,8,5,3,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,1,8,6,3,5,2,7]=>[7,2,8,6,5,4,1,3]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[4,1,5,8,6,2,3,7]=>[7,2,6,8,5,3,1,4]=>[2,7,3,1,4,6,8,5]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]
[5,3,4,6,2,8,7,1]=>[8,5,3,4,2,7,6,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[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]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,5,2,3,7,4,1,8]=>[7,6,4,3,5,2,1,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[6,5,2,3,1,8,7,4]=>[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[6,5,3,7,4,1,2,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,4,7,5,3,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[3,7,6,1,4,8,2,5]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]
[4,3,5,1,8,7,2,6]=>[7,4,3,2,8,6,1,5]=>[2,5,6,7,1,3,8,4]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]
[2,5,3,6,1,8,4,7]=>[5,7,3,4,1,8,2,6]=>[4,2,6,5,8,1,7,3]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]
[2,5,6,8,3,1,7,4]=>[6,8,5,7,3,1,4,2]=>[3,1,4,2,6,8,5,7]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[1,7,2,4,5,3,6,8]=>[1,7,3,6,5,4,2,8]=>[8,2,6,3,4,5,7,1]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[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]=>[2,3,5,6,1,7,8,4]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[1,6,4,7,5,2,3,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[1,5,2,6,7,4,3,8]=>[1,7,3,6,5,4,2,8]=>[8,2,6,3,4,5,7,1]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[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]=>[2,3,6,1,4,7,8,5]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[6,4,5,8,2,3,1,7]=>[7,6,5,8,3,2,1,4]=>[2,3,4,1,6,7,8,5]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,5,3,2,6,1,7]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[2,8,4,5,3,6,1,7]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[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]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,3,8,2,4,1,6,5]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[6,3,7,8,1,5,4,2]=>[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]=>[3,1,6,2,4,8,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[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]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[1,4,8,5,3,2,6,7]=>[1,6,8,5,4,2,7,3]=>[8,3,1,4,5,7,2,6]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]
[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]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[4,1,5,8,3,6,7,2]=>[8,2,5,7,3,6,4,1]=>[1,7,4,2,6,3,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[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]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[4,8,2,7,1,3,6,5]=>[6,8,5,7,3,1,4,2]=>[3,1,4,2,6,8,5,7]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[5,2,1,8,7,4,6,3]=>[8,3,2,7,6,5,4,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[8,2,1,7,4,6,3,5]=>[8,3,2,7,6,5,4,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[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]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[4,1,5,6,8,2,7,3]=>[8,2,6,4,7,3,5,1]=>[1,7,3,5,2,6,4,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[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]=>[2,3,6,1,4,7,8,5]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[4,8,5,3,1,6,7,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,3,6,5,2,7,4,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[6,2,1,7,8,4,3,5]=>[8,3,2,7,6,5,4,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[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]=>[3,7,6,1,4,8,2,5]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[6,8,7,3,4,5,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,7,6,4,2,3,5,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[1,3,2,5,8,6,4,7]=>[1,3,2,7,8,6,4,5]=>[8,6,7,2,1,3,5,4]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]
[6,1,4,7,2,8,5,3]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[1,7,5,8,4,2,3,6]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,6,7,2,4,8,5,3]=>[1,8,7,4,5,6,3,2]=>[8,1,2,5,4,3,6,7]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[5,7,2,4,3,6,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,7,3,4,6,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[2,8,3,6,1,7,4,5]=>[5,8,3,7,1,6,4,2]=>[4,1,6,2,8,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[4,3,1,8,5,2,6,7]=>[6,3,2,8,5,1,7,4]=>[3,6,7,1,4,8,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[1,8,4,5,6,2,7,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,3,5,8,1,7,4,2]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[7,5,2,3,8,4,6,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,7,6,1,2,8,3,4]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,4,6,5,1,8,2,3]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,1,3,2,6,8,4,5]=>[8,2,4,3,7,6,5,1]=>[1,7,5,6,2,3,4,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[4,3,5,2,8,1,6,7]=>[6,4,3,2,8,1,7,5]=>[3,5,6,7,1,8,2,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[1,7,3,8,2,4,6,5]=>[1,8,5,7,3,6,4,2]=>[8,1,4,2,6,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[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]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[5,4,6,8,1,3,2,7]=>[7,6,5,8,3,2,1,4]=>[2,3,4,1,6,7,8,5]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[3,6,1,5,8,4,7,2]=>[8,6,3,4,7,2,5,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[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]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[7,2,8,4,1,3,6,5]=>[8,5,7,6,2,4,3,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[5,8,1,2,4,3,6,7]=>[6,8,3,4,5,1,7,2]=>[3,1,6,5,4,8,2,7]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]
[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]=>[4,7,5,6,8,1,2,3]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]
[6,3,5,8,2,4,7,1]=>[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[2,8,7,1,4,6,3,5]=>[4,8,7,1,6,5,3,2]=>[5,1,2,8,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,8,5,3,7,4,2,6]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[2,4,1,5,7,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,2,1,10,7,6,9,8,5,4]=>[3,2,1,10,9,8,7,6,5,4]=>[8,9,10,1,2,3,4,5,6,7]=>[[.,[.,[.,.]]],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,3,6,5,2,1,10,9,8]=>[7,6,5,4,3,2,1,10,9,8]=>[4,5,6,7,8,9,10,1,2,3]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,[.,.]]]
[9,4,3,8,7,6,5,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[9,8,5,4,7,6,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[1,10,5,4,9,8,7,6,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[10,1,2,3,4,5,6,7,8,9]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[1,10,9,6,5,8,7,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[10,1,2,3,4,5,6,7,8,9]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[5,4,3,2,1,12,9,8,11,10,7,6]=>[5,4,3,2,1,12,11,10,9,8,7,6]=>[8,9,10,11,12,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,4,3,2,1,12,11,10,9,8,7,6]=>[5,4,3,2,1,12,11,10,9,8,7,6]=>[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]=>[2,3,4,5,6,7,8,9,10,11,12,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]],.]
[11,4,3,10,9,8,7,6,5,2,1,12]=>[11,10,9,8,7,6,5,4,3,2,1,12]=>[2,3,4,5,6,7,8,9,10,11,12,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]],.]
[11,10,5,4,7,6,9,8,3,2,1,12]=>[11,10,9,8,7,6,5,4,3,2,1,12]=>[2,3,4,5,6,7,8,9,10,11,12,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]],.]
[11,10,5,4,9,8,7,6,3,2,1,12]=>[11,10,9,8,7,6,5,4,3,2,1,12]=>[2,3,4,5,6,7,8,9,10,11,12,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]],.]
[1,12,5,4,11,8,7,10,9,6,3,2]=>[1,12,11,10,9,8,7,6,5,4,3,2]=>[12,1,2,3,4,5,6,7,8,9,10,11]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]
[1,12,5,4,11,10,9,8,7,6,3,2]=>[1,12,11,10,9,8,7,6,5,4,3,2]=>[12,1,2,3,4,5,6,7,8,9,10,11]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]
[11,10,7,6,5,4,9,8,3,2,1,12]=>[11,10,9,8,7,6,5,4,3,2,1,12]=>[2,3,4,5,6,7,8,9,10,11,12,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]],.]
[11,10,9,6,5,8,7,4,3,2,1,12]=>[11,10,9,8,7,6,5,4,3,2,1,12]=>[2,3,4,5,6,7,8,9,10,11,12,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]],.]
[1,12,11,6,5,8,7,10,9,4,3,2]=>[1,12,11,10,9,8,7,6,5,4,3,2]=>[12,1,2,3,4,5,6,7,8,9,10,11]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]
[1,12,11,6,5,10,9,8,7,4,3,2]=>[1,12,11,10,9,8,7,6,5,4,3,2]=>[12,1,2,3,4,5,6,7,8,9,10,11]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]
[11,10,9,8,7,6,5,4,3,2,1,12]=>[11,10,9,8,7,6,5,4,3,2,1,12]=>[2,3,4,5,6,7,8,9,10,11,12,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]],.]
[1,12,11,8,7,6,5,10,9,4,3,2]=>[1,12,11,10,9,8,7,6,5,4,3,2]=>[12,1,2,3,4,5,6,7,8,9,10,11]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]
[1,12,11,10,7,6,9,8,5,4,3,2]=>[1,12,11,10,9,8,7,6,5,4,3,2]=>[12,1,2,3,4,5,6,7,8,9,10,11]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]
[1,12,11,10,9,8,7,6,5,4,3,2]=>[1,12,11,10,9,8,7,6,5,4,3,2]=>[12,1,2,3,4,5,6,7,8,9,10,11]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]
[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]=>[8,3,4,5,6,7,2,1]=>[[[[.,.],[.,[.,[.,[.,.]]]]],.],.]
[1,7,2,4,6,5,3,8]=>[1,7,3,6,5,4,2,8]=>[8,2,6,3,4,5,7,1]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[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]=>[8,7,1,2,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,2,7,4,3,5,8,6]=>[1,2,8,5,4,6,7,3]=>[8,7,1,4,5,3,2,6]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]
[1,6,2,8,7,4,3,5]=>[1,8,3,7,6,5,4,2]=>[8,1,6,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,7,4,2,3,5,8,6]=>[1,8,5,4,3,6,7,2]=>[8,1,4,5,6,3,2,7]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[1,8,5,2,3,6,4,7]=>[1,8,7,4,5,6,3,2]=>[8,1,2,5,4,3,6,7]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[1,7,4,8,5,2,3,6]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,4,7,5,2,8,6,3]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,8,5,2,7,4,3,6]=>[1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,4,8,7,5,3,2,6]=>[1,7,8,6,5,4,2,3]=>[8,2,1,3,4,5,7,6]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[1,2,5,8,6,3,7,4]=>[1,2,8,7,6,5,4,3]=>[8,7,1,2,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,2,4,7,5,8,6,3]=>[1,2,8,7,5,6,4,3]=>[8,7,1,2,4,3,5,6]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[1,5,8,7,6,2,4,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,3,5,8,7,6,2,4]=>[1,7,8,6,5,4,2,3]=>[8,2,1,3,4,5,7,6]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[1,6,8,7,5,3,2,4]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,2,5,7,4,3,8,6]=>[1,2,6,8,5,3,7,4]=>[8,7,3,1,4,6,2,5]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]
[1,5,3,2,6,8,7,4]=>[1,8,4,3,5,7,6,2]=>[8,1,5,6,4,2,3,7]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]
[1,4,2,6,8,7,5,3]=>[1,8,3,7,6,5,4,2]=>[8,1,6,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,5,8,6,3,2,7,4]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,5,2,6,3,4,7]=>[1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,3,8,6,4,2,5,7]=>[1,6,8,7,5,2,4,3]=>[8,3,1,2,4,7,5,6]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]
[1,5,7,4,2,3,8,6]=>[1,6,8,5,4,2,7,3]=>[8,3,1,4,5,7,2,6]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]
[6,3,7,5,4,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,5,2,6,3,4,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,8,2,7,5,4,1,6]=>[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,7,2,8,1,6,4,5]=>[5,8,3,7,1,6,4,2]=>[4,1,6,2,8,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[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]=>[4,2,1,3,8,5,7,6]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]]
[3,4,6,5,8,2,7,1]=>[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[5,2,4,1,6,7,8,3]=>[8,4,3,2,5,6,7,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,[.,[.,.]]],.],.],[.,.]]]
[4,2,7,1,6,8,3,5]=>[7,4,8,2,5,6,1,3]=>[2,5,1,7,4,3,8,6]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,6,1,4,7,3,5,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,3,6,7,2,8,4,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,3,6,7,2,4,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,5,8,2,6,7,4,3]=>[1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[7,1,3,6,5,2,8,4]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[1,4,7,5,2,3,8,6]=>[1,6,8,5,4,2,7,3]=>[8,3,1,4,5,7,2,6]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]
[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]=>[3,1,6,4,5,8,2,7]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,7,5,6,4,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[4,1,2,3,8,5,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,5,8,6,7,1,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,2,4,6,8,5,3,7]=>[1,2,7,6,8,4,3,5]=>[8,7,2,3,1,5,6,4]=>[[[[.,.],.],[.,.]],[[.,[.,.]],.]]
[3,1,5,8,6,2,4,7]=>[6,2,7,8,5,1,3,4]=>[3,7,2,1,4,8,6,5]=>[[[.,[.,.]],.],[.,[[[.,.],.],.]]]
[2,5,4,6,8,1,3,7]=>[6,7,3,4,8,1,2,5]=>[3,2,6,5,1,8,7,4]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]
[7,2,5,8,6,4,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,4,3,8,7,1,6,5]=>[6,3,2,8,7,1,5,4]=>[3,6,7,1,2,8,4,5]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]
[1,5,8,7,4,2,6,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,8,7,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,1,7,4,3,6,8,2]=>[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]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[6,1,8,5,2,7,3,4]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,4,1,3,7,2,8,6]=>[6,4,3,2,8,1,7,5]=>[3,5,6,7,1,8,2,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[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]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[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]=>[2,3,5,6,1,7,8,4]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[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]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[4,3,7,1,8,5,2,6]=>[7,4,8,2,6,5,1,3]=>[2,5,1,7,3,4,8,6]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[3,2,8,5,6,7,1,4]=>[7,2,8,6,5,4,1,3]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[8,3,2,1,4,7,5,6]=>[8,4,3,2,5,7,6,1]=>[1,5,6,7,4,2,3,8]=>[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]
[4,7,3,1,8,5,2,6]=>[7,8,4,3,6,5,1,2]=>[2,1,5,6,3,4,8,7]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]
[7,5,1,4,2,3,6,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[7,8,6,1,2,4,5,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,1,7,8,6,2,3,4]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,5,1,6,7,2,3,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,5,1,2,4,6,8,3]=>[8,6,3,4,5,2,7,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[6,1,5,2,7,3,4,8]=>[7,2,6,4,5,3,1,8]=>[2,7,3,5,4,6,8,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[7,1,2,6,4,5,8,3]=>[8,2,3,6,5,4,7,1]=>[1,7,6,3,4,5,2,8]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[1,8,3,6,4,5,7,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,1,6,2,7,3,4,5]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,1,6,2,5,3,4,8]=>[7,2,6,4,5,3,1,8]=>[2,7,3,5,4,6,8,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[8,1,6,2,5,3,4,7]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,1,7,2,5,3,4,6]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,1,2,7,4,5,6,3]=>[8,2,3,7,6,5,4,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[1,8,3,7,4,5,6,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,1,6,7,5,2,3,4]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,1,2,8,5,6,7,4]=>[3,2,1,8,7,6,5,4]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[1,7,3,4,6,8,5,2]=>[1,8,7,4,5,6,3,2]=>[8,1,2,5,4,3,6,7]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[1,7,3,8,4,5,6,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,1,8,2,5,3,4,6]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,1,7,2,5,3,4,8]=>[7,2,6,4,5,3,1,8]=>[2,7,3,5,4,6,8,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[5,1,7,2,6,3,4,8]=>[7,2,6,4,5,3,1,8]=>[2,7,3,5,4,6,8,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[5,1,8,2,6,3,4,7]=>[7,2,8,4,6,5,1,3]=>[2,7,1,5,3,4,8,6]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[2,4,7,3,5,1,6,8]=>[6,4,7,2,5,1,3,8]=>[3,5,2,7,4,8,6,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[2,4,8,6,3,5,1,7]=>[7,5,8,6,2,4,1,3]=>[2,4,1,3,7,5,8,6]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[3,4,6,2,1,5,8,7]=>[5,4,6,2,1,3,8,7]=>[4,5,3,7,8,6,1,2]=>[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]
[2,3,6,1,5,8,4,7]=>[4,2,7,1,5,8,3,6]=>[5,7,2,8,4,1,6,3]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]
[2,4,7,1,3,6,8,5]=>[4,5,8,1,2,6,7,3]=>[5,4,1,8,7,3,2,6]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]
[5,4,7,8,1,3,2,6]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[2,5,7,1,4,6,3,8]=>[4,7,6,1,5,3,2,8]=>[5,2,3,8,4,6,7,1]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[2,4,7,1,6,3,5,8]=>[4,6,7,1,5,2,3,8]=>[5,3,2,8,4,7,6,1]=>[[[[.,.],.],[[.,.],[[.,.],.]]],.]
[2,3,7,1,6,5,4,8]=>[4,2,7,1,6,5,3,8]=>[5,7,2,8,3,4,6,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[2,5,7,1,4,3,6,8]=>[4,6,7,1,5,2,3,8]=>[5,3,2,8,4,7,6,1]=>[[[[.,.],.],[[.,.],[[.,.],.]]],.]
[2,5,7,3,1,4,6,8]=>[5,6,7,4,1,2,3,8]=>[4,3,2,5,8,7,6,1]=>[[[[.,.],.],[.,[[[.,.],.],.]]],.]
[4,6,3,7,1,5,2,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[2,6,5,7,1,8,4,3]=>[5,8,7,4,1,6,3,2]=>[4,1,2,5,8,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[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]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[2,4,7,1,6,3,8,5]=>[4,6,8,1,5,2,7,3]=>[5,3,1,8,4,7,2,6]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]
[2,4,7,1,6,8,3,5]=>[4,7,8,1,5,6,2,3]=>[5,2,1,8,4,3,7,6]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]
[2,4,8,3,1,7,6,5]=>[5,4,8,2,1,7,6,3]=>[4,5,1,7,8,2,3,6]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[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]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[6,5,1,4,8,3,2,7]=>[7,6,3,4,8,2,1,5]=>[2,3,6,5,1,7,8,4]=>[[.,[.,[[.,.],.]]],[[.,[.,.]],.]]
[8,7,1,4,3,2,5,6]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,3,6,5,4,7,2,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,7,1,4,3,2,6,5]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,7,5,2,4,3,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,2,5,7,3,1,6,8]=>[6,5,3,7,2,1,4,8]=>[3,4,6,2,7,8,5,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[8,2,4,5,3,1,6,7]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,4,5,1,3,2,6,7]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,3,7,5,2,1,6,8]=>[6,5,7,4,2,1,3,8]=>[3,4,2,5,7,8,6,1]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[1,6,7,4,3,2,5,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[3,5,1,4,7,2,6,8]=>[6,4,3,2,7,1,5,8]=>[3,5,6,7,2,8,4,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[2,5,1,4,7,8,3,6]=>[3,7,1,4,8,6,2,5]=>[6,2,8,5,1,3,7,4]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]
[4,3,7,1,5,2,6,8]=>[6,4,7,2,5,1,3,8]=>[3,5,2,7,4,8,6,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[3,5,1,6,4,2,7,8]=>[6,5,3,4,2,1,7,8]=>[3,4,6,5,7,8,2,1]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[6,4,3,1,7,2,5,8]=>[7,6,4,3,5,2,1,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[6,2,7,4,3,1,5,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[2,6,4,1,7,3,5,8]=>[4,7,6,1,5,3,2,8]=>[5,2,3,8,4,6,7,1]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[6,3,2,7,4,5,1,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[6,3,2,5,7,1,4,8]=>[7,6,3,4,5,2,1,8]=>[2,3,6,5,4,7,8,1]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[3,2,6,5,7,1,4,8]=>[6,2,7,4,5,1,3,8]=>[3,7,2,5,4,8,6,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[5,6,2,1,4,3,7,8]=>[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[2,5,1,6,4,3,7,8]=>[3,6,1,5,4,2,7,8]=>[6,3,8,4,5,7,2,1]=>[[[[.,.],[[.,.],[.,[.,.]]]],.],.]
[2,5,4,1,6,3,7,8]=>[4,6,3,1,5,2,7,8]=>[5,3,6,8,4,7,2,1]=>[[[[.,.],[[.,[.,.]],[.,.]]],.],.]
[4,6,1,5,2,7,3,8]=>[7,5,3,4,2,6,1,8]=>[2,4,6,5,7,3,8,1]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[1,6,5,3,7,2,4,8]=>[1,7,6,4,5,3,2,8]=>[8,2,3,5,4,6,7,1]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[1,2,5,3,4,8,7,6]=>[1,2,5,4,3,8,7,6]=>[8,7,4,5,6,1,2,3]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]
[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]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,5,8,3,6,2,7,4]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,8,7,1,4,5,2,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,2,6,4,7,3,8,5]=>[1,2,8,6,5,4,7,3]=>[8,7,1,3,4,5,2,6]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]
[1,2,7,8,3,5,6,4]=>[1,2,8,7,5,6,4,3]=>[8,7,1,2,4,3,5,6]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[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]=>[6,2,8,1,3,4,7,5]=>[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]
[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]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,2,1,5,8,4,3,7]=>[7,3,2,6,8,4,1,5]=>[2,6,7,3,1,5,8,4]=>[[.,[[.,[.,.]],.]],[[.,[.,.]],.]]
[7,5,6,2,4,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,6,2,5,7,3,8,1]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[4,2,8,5,3,6,1,7]=>[7,5,8,4,2,6,1,3]=>[2,4,1,5,7,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[8,1,7,4,5,6,2,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,1,7,8,4,5,6,3]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[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]=>[1,4,6,3,7,5,2,8]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[2,8,6,3,5,4,7,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,3,5,1,6,4,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[1,8,2,5,6,4,7,3]=>[1,8,3,7,6,5,4,2]=>[8,1,6,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[2,7,1,4,8,5,6,3]=>[3,8,1,7,6,5,4,2]=>[6,1,8,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[2,8,4,6,1,3,7,5]=>[5,8,6,7,1,3,4,2]=>[4,1,3,2,8,6,5,7]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]
[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]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[8,1,7,6,3,4,2,5]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,4,2,5,7,3,6]=>[8,2,7,4,5,6,3,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[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]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[1,5,6,3,2,4,7,8]=>[1,6,5,4,3,2,7,8]=>[8,3,4,5,6,7,2,1]=>[[[[.,.],[.,[.,[.,[.,.]]]]],.],.]
[6,3,5,2,4,1,7,8]=>[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[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]=>[2,4,6,3,7,5,8,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[2,5,3,1,6,4,7,8]=>[4,6,3,1,5,2,7,8]=>[5,3,6,8,4,7,2,1]=>[[[[.,.],[[.,[.,.]],[.,.]]],.],.]
[6,5,1,3,4,2,7,8]=>[6,5,3,4,2,1,7,8]=>[3,4,6,5,7,8,2,1]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[5,7,4,3,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,1,8,5,3,4,6,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,7,4,2,1,6,3,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,1,4,7,3,6,2,8]=>[7,2,5,6,3,4,1,8]=>[2,7,4,3,6,5,8,1]=>[[.,[[[.,.],.],[[.,.],[.,.]]]],.]
[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]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,6,5,8,7,4,2,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,1,3,8,7,5,2,4]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[1,7,5,6,8,2,4,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[7,5,4,2,1,8,6,3]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,6,7,4,2,8,5,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,6,1,3,4,2,5,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[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]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,1,2,4,5,6,3,8]=>[7,2,3,6,5,4,1,8]=>[2,7,6,3,4,5,8,1]=>[[.,[[[.,.],.],[.,[.,[.,.]]]]],.]
[3,6,2,1,7,5,4,8]=>[4,7,3,1,6,5,2,8]=>[5,2,6,8,3,4,7,1]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[2,1,6,4,7,5,3,8]=>[2,1,7,6,5,4,3,8]=>[7,8,2,3,4,5,6,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[4,1,3,8,6,2,7,5]=>[6,2,3,8,7,1,5,4]=>[3,7,6,1,2,8,4,5]=>[[.,[[.,.],.]],[.,[[.,.],[.,.]]]]
[5,1,2,8,4,6,7,3]=>[8,2,3,7,5,6,4,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[5,6,3,2,8,1,7,4]=>[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,5,3,2,4,1,8,6]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,1,6,7,4,2,3,5]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,6,4,5,2,3,7]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,6,4,5,2,7,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[6,1,2,3,4,5,7,8,9]=>[6,2,3,4,5,1,7,8,9]=>[4,8,7,6,5,9,3,2,1]=>[[[[.,[[[[.,.],.],.],[.,.]]],.],.],.]
[5,1,2,3,4,6,7,8,9]=>[5,2,3,4,1,6,7,8,9]=>[5,8,7,6,9,4,3,2,1]=>[[[[[.,[[[.,.],.],[.,.]]],.],.],.],.]
[4,1,2,3,5,6,7,8,9]=>[4,2,3,1,5,6,7,8,9]=>[6,8,7,9,5,4,3,2,1]=>[[[[[[.,[[.,.],[.,.]]],.],.],.],.],.]
[7,4,5,1,2,8,6,3]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,8,2,5,1,7,4,6]=>[5,8,3,7,1,6,4,2]=>[4,1,6,2,8,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[5,8,4,2,3,7,1,6]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[4,8,5,2,1,7,3,6]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[2,4,6,1,7,3,8,5]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[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]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[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]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[4,7,3,2,5,6,8,1]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,3,6,5,1,8,7,4]=>[5,2,8,4,1,7,6,3]=>[4,7,1,5,8,2,3,6]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[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]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[3,6,4,7,1,2,8,5]=>[6,8,5,4,3,1,7,2]=>[3,1,4,5,6,8,2,7]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[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]=>[2,4,1,3,7,5,8,6]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[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]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[2,3,7,5,1,8,6,4]=>[5,2,8,7,1,6,4,3]=>[4,7,1,2,8,3,5,6]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[6,3,1,2,8,7,4,5]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[1,5,8,2,4,3,6,7]=>[1,6,8,4,5,2,7,3]=>[8,3,1,5,4,7,2,6]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]
[4,3,6,8,1,5,2,7]=>[7,5,6,8,2,3,1,4]=>[2,4,3,1,7,6,8,5]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]
[5,4,6,8,3,1,7,2]=>[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[4,7,1,2,8,3,5,6]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[3,2,7,8,6,4,1,5]=>[7,2,8,6,5,4,1,3]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[3,1,2,8,7,4,5,6]=>[3,2,1,8,7,6,5,4]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[2,1,3,8,7,4,6,5]=>[2,1,3,8,7,6,5,4]=>[7,8,6,1,2,3,4,5]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]
[2,1,3,8,7,4,5,6]=>[2,1,3,8,7,6,5,4]=>[7,8,6,1,2,3,4,5]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]
[1,6,8,3,2,4,7,5]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[8,5,1,7,2,4,3,6]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[8,6,7,1,2,3,4,5]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]
[2,1,3,8,7,6,4,5]=>[2,1,3,8,7,6,5,4]=>[7,8,6,1,2,3,4,5]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]
[1,6,3,7,2,5,4,8]=>[1,7,5,6,3,4,2,8]=>[8,2,4,3,6,5,7,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[1,7,2,4,6,3,5,8]=>[1,7,3,6,5,4,2,8]=>[8,2,6,3,4,5,7,1]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[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]=>[2,3,4,1,6,7,8,5]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[2,4,8,3,1,6,7,5]=>[5,4,8,2,1,7,6,3]=>[4,5,1,7,8,2,3,6]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[3,5,8,4,2,1,6,7]=>[6,5,8,4,2,1,7,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[2,5,8,3,1,4,6,7]=>[5,6,8,4,1,2,7,3]=>[4,3,1,5,8,7,2,6]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]
[2,8,1,3,5,7,4,6]=>[3,8,1,4,7,6,5,2]=>[6,1,8,5,2,3,4,7]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[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]=>[2,3,5,6,1,7,8,4]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[2,4,6,7,8,3,5,1]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[1,4,2,6,8,5,3,7]=>[1,7,3,6,8,4,2,5]=>[8,2,6,3,1,5,7,4]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]]
[1,2,6,8,3,5,4,7]=>[1,2,7,8,5,6,3,4]=>[8,7,2,1,4,3,6,5]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]
[1,6,8,3,5,4,2,7]=>[1,7,8,6,5,4,2,3]=>[8,2,1,3,4,5,7,6]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[1,5,8,7,6,3,2,4]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[8,1,5,6,4,2,3,7]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]
[1,2,7,6,4,3,5,8]=>[1,2,7,6,5,4,3,8]=>[8,7,2,3,4,5,6,1]=>[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]
[1,8,7,5,2,4,6,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,3,2,4,8,5,7,6]=>[1,3,2,4,8,6,7,5]=>[8,6,7,5,1,3,2,4]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]
[1,3,8,7,5,2,4,6]=>[1,6,8,7,5,2,4,3]=>[8,3,1,2,4,7,5,6]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]
[1,4,6,3,2,7,5,8]=>[1,5,7,4,2,6,3,8]=>[8,4,2,5,7,3,6,1]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]
[1,4,6,3,2,8,7,5]=>[1,5,8,4,2,7,6,3]=>[8,4,1,5,7,2,3,6]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]
[1,5,7,6,4,2,3,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[1,6,3,5,2,8,7,4]=>[1,8,5,4,3,7,6,2]=>[8,1,4,5,6,2,3,7]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[1,8,3,7,5,2,4,6]=>[1,8,6,7,5,3,4,2]=>[8,1,3,2,4,6,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[6,4,7,1,5,3,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[2,6,1,8,3,4,7,5]=>[3,8,1,7,5,6,4,2]=>[6,1,8,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[5,7,1,4,8,2,3,6]=>[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[6,5,7,1,4,3,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[8,5,6,7,1,3,2,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[5,7,6,2,4,8,3,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,7,5,2,3,8,4,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[6,7,8,5,1,3,2,4]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]
[7,3,1,4,2,6,5,8]=>[7,5,3,4,2,6,1,8]=>[2,4,6,5,7,3,8,1]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[7,4,1,6,2,5,3,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[5,4,1,8,2,6,3,7]=>[7,5,3,8,2,6,1,4]=>[2,4,6,1,7,3,8,5]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[5,3,1,8,2,6,4,7]=>[7,5,3,8,2,6,1,4]=>[2,4,6,1,7,3,8,5]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[4,7,1,5,2,6,3,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[6,5,1,4,2,7,3,8]=>[7,5,3,4,2,6,1,8]=>[2,4,6,5,7,3,8,1]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[1,8,7,3,4,5,2,6]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,9,3,4,5,6,7,2]=>[1,9,8,7,5,6,4,3,2]=>[9,1,2,3,5,4,6,7,8]=>[[.,.],[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,8,7,4,5,2,3,6]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,2,6,8,7,3,4,5]=>[1,2,8,7,6,5,4,3]=>[8,7,1,2,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,3,7,8,4,5,6,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,4,2,3,1,6,5,7]=>[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[6,4,5,2,8,1,7,3]=>[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[4,8,6,2,3,1,7,5]=>[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[6,4,2,1,8,5,3,7]=>[7,6,4,3,8,2,1,5]=>[2,3,5,6,1,7,8,4]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[4,2,6,1,5,8,3,7]=>[7,4,5,2,3,8,1,6]=>[2,5,4,7,6,1,8,3]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]
[6,4,2,3,5,8,1,7]=>[7,5,4,3,2,8,1,6]=>[2,4,5,6,7,1,8,3]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[2,8,6,4,5,1,7,3]=>[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[8,2,4,6,7,1,5,3]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[2,6,3,1,7,4,8,5]=>[4,8,3,1,6,5,7,2]=>[5,1,6,8,3,4,2,7]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]
[1,4,3,7,2,8,6,5]=>[1,5,3,8,2,7,6,4]=>[8,4,6,1,7,2,3,5]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[1,8,7,4,5,3,2,6]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,8,3,1,4,5,7,6]=>[4,8,3,1,5,6,7,2]=>[5,1,6,8,4,3,2,7]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]
[6,1,7,2,8,4,5,3]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,7,4,6,3,8,2,5]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[5,6,4,1,3,8,2,7]=>[7,5,4,3,2,8,1,6]=>[2,4,5,6,7,1,8,3]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[4,5,3,1,8,7,6,2]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[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]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[5,1,8,4,3,7,2,6]=>[7,2,8,5,4,6,1,3]=>[2,7,1,4,5,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[7,2,8,1,4,5,6,3]=>[8,4,7,2,6,5,3,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[1,4,8,2,5,6,7,3]=>[1,8,7,4,5,6,3,2]=>[8,1,2,5,4,3,6,7]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[2,1,4,3,6,5,8,10,9,7]=>[2,1,4,3,6,5,10,9,8,7]=>[9,10,7,8,5,6,1,2,3,4]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,[.,[.,.]]]]
[2,1,4,3,8,10,7,9,5,6]=>[2,1,4,3,10,9,8,7,6,5]=>[9,10,7,8,1,2,3,4,5,6]=>[[[.,[.,.]],[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,4,6,5,3,8,10,9,7]=>[2,1,6,5,4,3,10,9,8,7]=>[9,10,5,6,7,8,1,2,3,4]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[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]=>[9,10,1,2,3,4,5,6,7,8]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,4,3,1,8,10,7,9,5,6]=>[4,3,2,1,10,9,8,7,6,5]=>[7,8,9,10,1,2,3,4,5,6]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]]
[4,6,3,5,1,2,8,10,9,7]=>[6,5,4,3,2,1,10,9,8,7]=>[5,6,7,8,9,10,1,2,3,4]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]]
[6,3,8,4,5,7,1,2,10,9]=>[8,7,6,5,4,3,2,1,10,9]=>[3,4,5,6,7,8,9,10,1,2]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]]
[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]=>[[.,.],[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]
[2,1,10,7,12,6,9,8,4,11,3,5]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[11,12,1,2,3,4,5,6,7,8,9,10]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[4,6,3,5,1,2,10,12,9,11,7,8]=>[6,5,4,3,2,1,12,11,10,9,8,7]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,[.,[.,.]]]]]]
[8,1,6,7,2,5,4,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,5,2,3,6,8,4,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,1,4,6,5,3,2,7]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,4,7,6,5,2,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,2,7,6,5,4,3]=>[8,2,3,7,6,5,4,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[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]=>[4,7,1,2,8,3,5,6]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[3,7,2,5,8,4,6,1]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,3,5,2,8,1,7,4]=>[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[6,1,8,7,4,5,2,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[8,6,7,1,2,3,4,5]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]
[1,6,2,5,8,7,3,4]=>[1,8,3,7,6,5,4,2]=>[8,1,6,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,6,8,7,2,3,5,4]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,6,8,7,2,5,3,4]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,5,2,4,8,3,6,7]=>[1,6,3,4,8,2,7,5]=>[8,3,6,5,1,7,2,4]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]
[1,2,4,5,8,6,3,7]=>[1,2,7,4,8,6,3,5]=>[8,7,2,5,1,3,6,4]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]
[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]=>[8,1,2,5,4,3,6,7]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[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]=>[8,1,2,5,4,3,6,7]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[1,3,2,6,8,5,4,7]=>[1,3,2,7,8,6,4,5]=>[8,6,7,2,1,3,5,4]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]
[1,7,8,5,4,2,3,6]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,4,2,3,6,5,7]=>[1,8,5,4,3,7,6,2]=>[8,1,4,5,6,2,3,7]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[1,4,2,7,5,3,8,6]=>[1,6,3,8,5,2,7,4]=>[8,3,6,1,4,7,2,5]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[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]=>[8,1,3,2,4,6,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[1,3,8,4,2,6,5,7]=>[1,5,8,4,2,7,6,3]=>[8,4,1,5,7,2,3,6]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]
[1,7,4,2,6,5,8,3]=>[1,8,6,4,5,3,7,2]=>[8,1,3,5,4,6,2,7]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[1,6,5,8,3,7,4,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,7,4,8,3,2,5,6]=>[1,8,6,7,5,3,4,2]=>[8,1,3,2,4,6,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[1,4,8,3,2,7,5,6]=>[1,5,8,4,2,7,6,3]=>[8,4,1,5,7,2,3,6]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]
[1,8,3,6,4,5,2,7]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,2,3,7,4,5,6,1]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,5,7,2,3,6,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,3,2,1,8,4,5]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,5,1,3,7,2,8,4]=>[8,6,3,4,5,2,7,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[8,1,7,3,4,5,2,6]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,1,8,3,4,5,2,6]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[4,1,2,5,8,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,8,5,3,4,6,2,7]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[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]=>[1,7,2,5,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,1,3,2,4,7,8,5]=>[8,2,4,3,5,6,7,1]=>[1,7,5,6,4,3,2,8]=>[.,[[[[[.,.],[.,.]],.],.],[.,.]]]
[6,2,1,3,4,7,8,5]=>[8,3,2,4,5,6,7,1]=>[1,6,7,5,4,3,2,8]=>[.,[[[[[.,[.,.]],.],.],.],[.,.]]]
[3,2,5,8,7,4,1,6]=>[7,2,6,8,5,3,1,4]=>[2,7,3,1,4,6,8,5]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]
[4,2,5,8,7,3,1,6]=>[7,6,3,8,5,2,1,4]=>[2,3,6,1,4,7,8,5]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[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]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,1,3,8,7,2,4,5]=>[8,2,6,7,5,3,4,1]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[1,2,8,4,5,7,3,6]=>[1,2,8,7,5,6,4,3]=>[8,7,1,2,4,3,5,6]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[4,2,1,8,7,6,3,5]=>[7,3,2,8,6,5,1,4]=>[2,6,7,1,3,4,8,5]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]
[3,2,5,8,7,1,4,6]=>[6,2,7,8,5,1,3,4]=>[3,7,2,1,4,8,6,5]=>[[[.,[.,.]],.],[.,[[[.,.],.],.]]]
[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]=>[8,1,6,3,2,5,4,7]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[3,1,6,5,8,7,2,4]=>[7,2,8,4,6,5,1,3]=>[2,7,1,5,3,4,8,6]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[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]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[8,1,7,3,5,4,6,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,8,6,3,2,5,4,7]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[3,2,4,8,5,7,1,6]=>[7,2,3,8,5,6,1,4]=>[2,7,6,1,4,3,8,5]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[8,1,2,4,7,5,6,3]=>[8,2,3,7,6,5,4,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[6,4,5,8,3,1,7,2]=>[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[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]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[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]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,3,6,5,1,2,7,8]=>[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[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]=>[8,2,1,3,4,5,7,6]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[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]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[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]=>[5,1,2,8,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[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]=>[8,7,1,2,4,3,5,6]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[6,2,1,8,7,5,3,4]=>[8,3,2,7,6,5,4,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[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]=>[2,4,5,6,7,1,8,3]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[2,8,3,4,1,5,6,7]=>[5,8,3,4,1,6,7,2]=>[4,1,6,5,8,3,2,7]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]
[1,3,7,5,4,8,6,2]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[4,5,6,3,1,8,2,7]=>[7,5,4,3,2,8,1,6]=>[2,4,5,6,7,1,8,3]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[5,2,1,4,3,6,8,7]=>[5,3,2,4,1,6,8,7]=>[4,6,7,5,8,3,1,2]=>[[[.,[[.,[.,.]],[.,.]]],.],[.,.]]
[1,5,6,3,8,4,2,7]=>[1,7,6,4,8,3,2,5]=>[8,2,3,5,1,6,7,4]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]
[2,6,5,3,8,4,1,7]=>[7,6,4,3,8,2,1,5]=>[2,3,5,6,1,7,8,4]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[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]=>[2,3,5,6,1,7,8,4]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[2,3,6,5,4,8,1,7]=>[7,2,5,4,3,8,1,6]=>[2,7,4,5,6,1,8,3]=>[[.,[[.,.],[.,[.,.]]]],[[.,.],.]]
[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]=>[2,4,1,5,7,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[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]=>[4,1,2,3,8,5,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[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]=>[9,8,7,6,4,5,3,2,1]=>[[[[[[[[.,.],.],.],.],[.,.]],.],.],.]
[1,2,3,5,4,6,7,8,9]=>[1,2,3,5,4,6,7,8,9]=>[9,8,7,5,6,4,3,2,1]=>[[[[[[[[.,.],.],.],[.,.]],.],.],.],.]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,6,8,1,4,7,5,3]=>[4,8,7,1,6,5,3,2]=>[5,1,2,8,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,2,1,6,7,4,5,3]=>[8,3,2,7,6,5,4,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[8,2,6,1,7,4,5,3]=>[8,4,7,2,6,5,3,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[4,2,8,1,6,7,5,3]=>[8,4,7,2,6,5,3,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,1,2,6,4,7,5,3]=>[8,2,3,7,6,5,4,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[8,4,1,6,2,7,5,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,2,4,6,1,7,5,3]=>[8,5,7,6,2,4,3,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[5,4,7,6,3,1,2,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[3,6,4,8,1,5,2,7]=>[7,6,5,8,3,2,1,4]=>[2,3,4,1,6,7,8,5]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[3,6,8,4,1,5,2,7]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[8,7,1,4,2,3,5,6]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[4,1,6,5,8,2,3,7]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[7,1,4,8,2,3,6,5]=>[8,2,6,7,5,3,4,1]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[4,5,3,6,7,1,8,2]=>[8,6,3,4,5,2,7,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[1,4,7,8,3,5,2,6]=>[1,7,8,6,5,4,2,3]=>[8,2,1,3,4,5,7,6]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[8,4,1,7,3,5,6,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,4,1,2,5,7,3,6]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[2,4,5,6,8,3,1,7]=>[7,6,3,4,8,2,1,5]=>[2,3,6,5,1,7,8,4]=>[[.,[.,[[.,.],.]]],[[.,[.,.]],.]]
[3,4,5,8,6,2,1,7]=>[7,6,3,8,5,2,1,4]=>[2,3,6,1,4,7,8,5]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[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]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[4,3,2,5,6,7,8,9,1]=>[9,3,2,4,5,6,7,8,1]=>[1,7,8,6,5,4,3,2,9]=>[.,[[[[[[.,[.,.]],.],.],.],.],[.,.]]]
[6,3,7,8,2,4,5,9,1]=>[9,7,6,5,4,3,2,8,1]=>[1,3,4,5,6,7,8,2,9]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]]
[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]=>[1,3,4,5,6,7,8,2,9]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]]
[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]=>[1,3,4,5,6,7,8,9,2,10]=>[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]]
[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]=>[1,3,4,5,6,7,8,9,2,10]=>[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]]
[8,6,4,9,3,7,2,5,10,1]=>[10,8,7,6,5,4,3,2,9,1]=>[1,3,4,5,6,7,8,9,2,10]=>[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[1,5,6,3,8,2,7,4]=>[1,8,6,4,7,3,5,2]=>[8,1,3,5,2,6,4,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[2,6,3,8,4,7,1,5]=>[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[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]=>[8,1,3,5,4,6,2,7]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[1,5,7,3,4,2,8,6]=>[1,6,8,5,4,2,7,3]=>[8,3,1,4,5,7,2,6]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]
[1,5,8,3,4,2,7,6]=>[1,6,8,5,4,2,7,3]=>[8,3,1,4,5,7,2,6]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]
[1,4,5,3,7,2,8,6]=>[1,6,4,3,8,2,7,5]=>[8,3,5,6,1,7,2,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[1,4,5,3,8,2,7,6]=>[1,6,4,3,8,2,7,5]=>[8,3,5,6,1,7,2,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[6,5,1,4,2,8,7,3]=>[8,5,3,4,2,7,6,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[1,7,5,4,2,8,6,3]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[5,1,6,8,3,7,2,4]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[10,1,2,3,4,5,6,7,8,9]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[1,10,9,8,7,3,4,5,6,2]=>[1,10,9,8,7,6,5,4,3,2]=>[10,1,2,3,4,5,6,7,8,9]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[3,1,2,10,7,5,9,6,8,4]=>[3,2,1,10,9,8,7,6,5,4]=>[8,9,10,1,2,3,4,5,6,7]=>[[.,[.,[.,.]]],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,1,2,10,9,8,5,6,7,4]=>[3,2,1,10,9,8,7,6,5,4]=>[8,9,10,1,2,3,4,5,6,7]=>[[.,[.,[.,.]]],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[4,5,6,7,8,9,10,1,2,3]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,[.,.]]]
[7,6,5,1,2,3,9,4,8,10]=>[8,6,5,4,3,2,9,1,7,10]=>[3,5,6,7,8,9,2,10,4,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],[[.,.],.]],.]
[1,12,11,6,3,8,4,10,5,7,9,2]=>[1,12,11,10,9,8,7,6,5,4,3,2]=>[12,1,2,3,4,5,6,7,8,9,10,11]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]
[1,12,11,6,3,10,9,4,5,7,8,2]=>[1,12,11,10,9,8,7,6,5,4,3,2]=>[12,1,2,3,4,5,6,7,8,9,10,11]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]
[1,12,11,8,7,3,4,10,5,6,9,2]=>[1,12,11,10,9,8,7,6,5,4,3,2]=>[12,1,2,3,4,5,6,7,8,9,10,11]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]
[1,12,11,10,7,3,9,4,5,6,8,2]=>[1,12,11,10,9,8,7,6,5,4,3,2]=>[12,1,2,3,4,5,6,7,8,9,10,11]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]
[1,12,11,10,9,8,3,4,5,6,7,2]=>[1,12,11,10,9,8,7,6,5,4,3,2]=>[12,1,2,3,4,5,6,7,8,9,10,11]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]
[5,4,1,2,3,12,9,7,11,8,10,6]=>[5,4,3,2,1,12,11,10,9,8,7,6]=>[8,9,10,11,12,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,4,1,2,3,12,11,10,7,8,9,6]=>[5,4,3,2,1,12,11,10,9,8,7,6]=>[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]=>[2,3,4,5,6,7,8,9,10,11,12,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]],.]
[3,8,5,2,1,4,7,6]=>[5,8,6,4,1,3,7,2]=>[4,1,3,5,8,6,2,7]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,5,1,8,3,4,2,6]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,2,8,1,7,4,3,6]=>[7,4,8,2,6,5,1,3]=>[2,5,1,7,3,4,8,6]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[1,2,5,6,8,7,3,4]=>[1,2,8,7,6,5,4,3]=>[8,7,1,2,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,5,6,8,2,7,4,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,6,7,3,4,1,8,5]=>[6,8,5,4,3,1,7,2]=>[3,1,4,5,6,8,2,7]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[1,6,5,7,8,2,4,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,5,6,7,2,8,4,3]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,5,8,6,7,3,4,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,6,5,8,7,2,4,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,5,7,6,2,8,3,4]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,2,5,8,6,7,4,3]=>[1,2,8,7,6,5,4,3]=>[8,7,1,2,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,2,6,5,7,3,8,4]=>[1,2,8,6,5,4,7,3]=>[8,7,1,3,4,5,2,6]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]
[1,7,5,8,6,4,2,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,6,5,8,1,2,7,4]=>[6,8,5,7,3,1,4,2]=>[3,1,4,2,6,8,5,7]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[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]=>[4,1,3,2,8,6,5,7]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]
[5,3,6,8,1,2,7,4]=>[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[4,6,5,8,3,2,7,1]=>[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[4,5,6,8,2,3,7,1]=>[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[2,5,8,7,1,6,4,3]=>[5,8,7,6,1,4,3,2]=>[4,1,2,3,8,5,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[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]=>[2,3,6,5,4,7,8,1]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[2,8,7,5,1,6,3,4]=>[5,8,7,6,1,4,3,2]=>[4,1,2,3,8,5,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[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]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[2,4,1,5,7,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[4,5,8,3,2,6,1,7]=>[7,5,8,4,2,6,1,3]=>[2,4,1,5,7,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[5,8,2,1,4,6,3,7]=>[7,8,4,3,5,6,1,2]=>[2,1,5,6,4,3,8,7]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]
[4,1,5,8,3,6,2,7]=>[7,2,5,8,3,6,1,4]=>[2,7,4,1,6,3,8,5]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[3,2,7,1,8,5,4,6]=>[4,2,8,1,7,6,5,3]=>[5,7,1,8,2,3,4,6]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[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]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[2,7,1,3,8,5,4,6]=>[3,8,1,4,7,6,5,2]=>[6,1,8,5,2,3,4,7]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[2,6,7,8,4,1,3,5]=>[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[2,6,7,8,4,3,1,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[7,1,2,3,4,5,8,6,9]=>[8,2,3,4,5,6,7,1,9]=>[2,8,7,6,5,4,3,9,1]=>[[.,[[[[[[.,.],.],.],.],.],[.,.]]],.]
[6,1,2,3,4,7,5,8,9]=>[7,2,3,4,5,6,1,8,9]=>[3,8,7,6,5,4,9,2,1]=>[[[.,[[[[[.,.],.],.],.],[.,.]]],.],.]
[5,1,2,3,6,4,7,8,9]=>[6,2,3,4,5,1,7,8,9]=>[4,8,7,6,5,9,3,2,1]=>[[[[.,[[[[.,.],.],.],[.,.]]],.],.],.]
[4,1,2,5,3,6,7,8,9]=>[5,2,3,4,1,6,7,8,9]=>[5,8,7,6,9,4,3,2,1]=>[[[[[.,[[[.,.],.],[.,.]]],.],.],.],.]
[7,1,2,6,3,8,4,5]=>[8,2,3,7,5,6,4,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[8,1,2,6,5,3,7,4]=>[8,2,3,7,6,5,4,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[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]=>[1,5,2,7,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[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]=>[3,6,7,4,5,8,1,2]=>[[.,[[.,[.,.]],[.,[.,.]]]],[.,.]]
[5,1,3,4,6,2,8,7]=>[6,2,4,3,5,1,8,7]=>[3,7,5,6,4,8,1,2]=>[[.,[[[.,.],[.,.]],[.,.]]],[.,.]]
[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]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[4,1,7,6,3,8,5,2]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[7,4,1,8,5,3,6,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,2,8,4,5,3,7,1]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[4,5,2,1,8,7,3,6]=>[7,4,3,2,8,6,1,5]=>[2,5,6,7,1,3,8,4]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]
[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]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[5,1,4,7,8,2,6,3]=>[8,2,6,7,5,3,4,1]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[7,2,5,8,1,3,6,4]=>[8,5,7,6,2,4,3,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[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]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[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]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[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]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[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]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[3,6,2,4,5,8,7,1]=>[8,5,3,4,2,7,6,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[8,1,3,7,4,5,6,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,5,3,6,4,7,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,6,4,8,3,1,5,7]=>[6,7,5,8,3,1,2,4]=>[3,2,4,1,6,8,7,5]=>[[[.,.],[.,.]],[[.,[[.,.],.]],.]]
[2,6,4,1,5,8,7,3]=>[4,8,5,1,3,7,6,2]=>[5,1,4,8,6,2,3,7]=>[[.,.],[[.,[[.,.],.]],[.,[.,.]]]]
[3,5,1,4,6,2,7,8]=>[6,4,3,2,5,1,7,8]=>[3,5,6,7,4,8,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[7,6,5,2,4,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,6,4,5,2,8,1,7]=>[7,5,4,3,2,8,1,6]=>[2,4,5,6,7,1,8,3]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[8,1,5,4,7,3,6,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,6,5,4,1,8,2,3]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,6,4,1,5,7,2,8]=>[7,5,4,3,2,6,1,8]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[8,1,5,4,7,6,3,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[4,7,1,5,8,2,3,6]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[1,7,2,4,3,5,8,6]=>[1,8,3,5,4,6,7,2]=>[8,1,6,4,5,3,2,7]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]
[3,8,1,7,4,2,6,5]=>[6,8,3,7,5,1,4,2]=>[3,1,6,2,4,8,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[8,1,7,4,3,5,6,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,6,3,2,7,4,1,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,2,8,3,5,6,4,7]=>[1,2,8,4,7,6,5,3]=>[8,7,1,5,2,3,4,6]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[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]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,1,3,5,7,4,2,6]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,1,8,5,4,7,2,6]=>[7,2,8,5,4,6,1,3]=>[2,7,1,4,5,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[5,1,3,4,2,6,8,7]=>[5,2,4,3,1,6,8,7]=>[4,7,5,6,8,3,1,2]=>[[[.,[[.,.],[.,[.,.]]]],.],[.,.]]
[3,2,6,4,1,5,7,8]=>[5,2,6,4,1,3,7,8]=>[4,7,3,5,8,6,2,1]=>[[[[.,[.,.]],[.,[[.,.],.]]],.],.]
[5,4,2,1,8,3,6,7]=>[6,4,3,2,8,1,7,5]=>[3,5,6,7,1,8,2,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[4,2,5,1,8,7,3,6]=>[7,4,3,2,8,6,1,5]=>[2,5,6,7,1,3,8,4]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]
[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]=>[8,1,3,2,4,6,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[1,2,5,4,7,8,3,6]=>[1,2,7,4,8,6,3,5]=>[8,7,2,5,1,3,6,4]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]
[4,7,1,2,5,3,6,8]=>[6,7,3,4,5,1,2,8]=>[3,2,6,5,4,8,7,1]=>[[[.,.],[[[.,.],.],[[.,.],.]]],.]
[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]=>[5,7,1,8,2,3,4,6]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[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]=>[2,3,6,5,4,7,8,1]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[8,5,4,1,6,7,3,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,2,1,6,4,7,8,3]=>[8,3,2,5,4,6,7,1]=>[1,6,7,4,5,3,2,8]=>[.,[[[[.,[.,.]],[.,.]],.],[.,.]]]
[1,6,2,3,5,7,8,4]=>[1,8,3,4,5,6,7,2]=>[8,1,6,5,4,3,2,7]=>[[.,.],[[[[[.,.],.],.],.],[.,.]]]
[1,3,4,8,5,2,6,7]=>[1,6,3,8,5,2,7,4]=>[8,3,6,1,4,7,2,5]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[8,2,4,6,1,7,3,5]=>[8,5,7,6,2,4,3,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[1,5,7,2,3,6,8,4]=>[1,8,6,4,5,3,7,2]=>[8,1,3,5,4,6,2,7]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[3,2,5,7,8,4,1,6]=>[7,2,6,8,5,3,1,4]=>[2,7,3,1,4,6,8,5]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]
[4,3,5,1,6,2,7,8]=>[6,4,3,2,5,1,7,8]=>[3,5,6,7,4,8,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,8,1,7,6,3,5,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,5,1,7,4,3,6,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[2,4,1,5,7,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[4,8,1,7,6,5,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,3,8,7,2,6,1,5]=>[7,5,8,6,2,4,1,3]=>[2,4,1,3,7,5,8,6]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[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]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[2,5,4,8,3,1,7,6]=>[6,5,3,8,2,1,7,4]=>[3,4,6,1,7,8,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[5,4,8,2,1,3,7,6]=>[6,5,8,4,2,1,7,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[1,8,4,7,6,3,5,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,3,7,6,5,2,4]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,4,3,8,7,2,6,5]=>[1,6,3,8,7,2,5,4]=>[8,3,6,1,2,7,4,5]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]
[7,4,1,3,6,2,5,8]=>[7,6,3,4,5,2,1,8]=>[2,3,6,5,4,7,8,1]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[4,1,3,7,5,6,2,8]=>[7,2,3,6,5,4,1,8]=>[2,7,6,3,4,5,8,1]=>[[.,[[[.,.],.],[.,[.,[.,.]]]]],.]
[2,6,8,3,1,7,4,5]=>[5,8,7,4,1,6,3,2]=>[4,1,2,5,8,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[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]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[2,6,5,3,4,8,7,1]=>[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[2,6,1,5,3,4,7,8]=>[3,6,1,5,4,2,7,8]=>[6,3,8,4,5,7,2,1]=>[[[[.,.],[[.,.],[.,[.,.]]]],.],.]
[3,6,2,7,4,5,1,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[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]=>[8,1,3,2,4,6,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[5,8,3,1,2,7,6,4]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,6,2,5,3,8,4,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[3,1,4,5,6,8,2,7]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[8,6,2,4,5,1,3,7]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,5,1,3,8,6,2,7]=>[7,4,3,2,8,6,1,5]=>[2,5,6,7,1,3,8,4]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]
[7,8,1,3,6,4,5,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,2,8,1,4,6,3]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[3,7,8,2,1,6,4,5]=>[5,8,7,4,1,6,3,2]=>[4,1,2,5,8,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[7,8,1,6,3,5,4,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,1,6,8,3,4,7,2]=>[8,2,6,7,5,3,4,1]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[7,1,6,8,5,4,3,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,6,8,1,2,3,7,4]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[4,6,1,2,8,5,7,3]=>[8,6,3,4,7,2,5,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[6,4,7,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[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]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[3,1,6,2,5,7,8,4]=>[4,2,8,1,5,6,7,3]=>[5,7,1,8,4,3,2,6]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]
[2,1,6,3,5,7,4,8]=>[2,1,7,4,5,6,3,8]=>[7,8,2,5,4,3,6,1]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]
[1,4,7,3,2,5,6,8]=>[1,5,7,4,2,6,3,8]=>[8,4,2,5,7,3,6,1]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]
[6,2,1,4,5,3,7,8]=>[6,3,2,5,4,1,7,8]=>[3,6,7,4,5,8,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[1,2,3,4,5,8,9,6,7]=>[1,2,3,4,5,9,8,7,6]=>[9,8,7,6,5,1,2,3,4]=>[[[[[[.,.],.],.],.],.],[.,[.,[.,.]]]]
[1,2,3,4,7,9,5,8,6]=>[1,2,3,4,9,8,7,6,5]=>[9,8,7,6,1,2,3,4,5]=>[[[[[.,.],.],.],.],[.,[.,[.,[.,.]]]]]
[1,2,4,6,8,3,7,5]=>[1,2,6,8,7,3,5,4]=>[8,7,3,1,2,6,4,5]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]
[1,3,5,8,2,6,7,4]=>[1,5,8,7,2,6,4,3]=>[8,4,1,2,7,3,5,6]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[6,1,3,7,2,8,5,4]=>[8,2,5,7,3,6,4,1]=>[1,7,4,2,6,3,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[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]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[2,6,8,4,3,1,7,5]=>[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[8,1,5,2,6,4,3,7]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[1,6,7,4,2,8,3,5]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,7,8,4,3,6,2,5]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,5,8,7,4,3,2,6]=>[1,7,8,6,5,4,2,3]=>[8,2,1,3,4,5,7,6]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[1,4,7,2,3,6,8,5]=>[1,5,8,4,2,6,7,3]=>[8,4,1,5,7,3,2,6]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]
[3,1,2,6,7,8,5,4]=>[3,2,1,8,7,6,5,4]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[3,8,1,6,4,2,7,5]=>[6,8,3,7,5,1,4,2]=>[3,1,6,2,4,8,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[1,6,3,4,7,8,2,5]=>[1,8,7,4,5,6,3,2]=>[8,1,2,5,4,3,6,7]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[2,4,3,7,6,1,8,5]=>[6,3,2,8,5,1,7,4]=>[3,6,7,1,4,8,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[1,4,7,6,8,3,2,5]=>[1,7,8,6,5,4,2,3]=>[8,2,1,3,4,5,7,6]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[4,3,1,8,6,2,7,5]=>[6,3,2,8,7,1,5,4]=>[3,6,7,1,2,8,4,5]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]
[3,1,5,2,8,7,6,4]=>[4,2,8,1,7,6,5,3]=>[5,7,1,8,2,3,4,6]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[2,6,1,8,7,4,3,5]=>[3,8,1,7,6,5,4,2]=>[6,1,8,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[7,5,1,8,3,2,6,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,7,6,3,1,8,2,5]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[5,3,1,8,6,2,4,7]=>[7,6,3,8,5,2,1,4]=>[2,3,6,1,4,7,8,5]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[5,1,8,6,3,2,4,7]=>[7,2,8,6,5,4,1,3]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[1,4,2,8,5,3,7,6]=>[1,6,3,8,5,2,7,4]=>[8,3,6,1,4,7,2,5]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[1,7,4,8,3,5,2,6]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[4,1,6,2,8,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[2,5,1,8,6,3,7,4]=>[3,8,1,7,6,5,4,2]=>[6,1,8,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[2,8,6,4,1,7,3,5]=>[5,8,7,6,1,4,3,2]=>[4,1,2,3,8,5,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[1,8,4,2,7,5,3,6]=>[1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[2,8,1,7,5,3,6,4]=>[3,8,1,7,6,5,4,2]=>[6,1,8,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,2,8,7,6,4,3,5]=>[1,2,8,7,6,5,4,3]=>[8,7,1,2,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[4,1,7,8,6,3,5,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,6,5,7,8,4,2,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,1,8,7,6,3,5,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[2,4,6,3,7,5,8,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[4,1,8,5,3,6,2,7]=>[7,2,8,5,4,6,1,3]=>[2,7,1,4,5,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[6,4,2,5,3,1,7,8]=>[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[3,1,5,8,2,7,4,6]=>[5,2,7,8,1,6,3,4]=>[4,7,2,1,8,3,6,5]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]
[6,4,1,5,3,2,7,8]=>[6,5,3,4,2,1,7,8]=>[3,4,6,5,7,8,2,1]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[6,2,1,5,4,3,7,8]=>[6,3,2,5,4,1,7,8]=>[3,6,7,4,5,8,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[3,1,8,5,4,6,2,7]=>[7,2,8,5,4,6,1,3]=>[2,7,1,4,5,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[6,1,8,4,5,3,2,7]=>[7,2,8,6,5,4,1,3]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[4,5,2,7,1,6,3,8]=>[7,5,3,6,2,4,1,8]=>[2,4,6,3,7,5,8,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[4,3,5,7,1,6,8,2]=>[8,5,3,6,2,4,7,1]=>[1,4,6,3,7,5,2,8]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[4,1,8,5,3,6,7,2]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,6,1,8,5,7,4,3]=>[3,8,1,7,6,5,4,2]=>[6,1,8,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[6,3,8,4,5,2,1,7]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[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]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[3,2,6,8,5,4,7,1]=>[8,2,6,7,5,3,4,1]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[4,1,8,5,2,6,3,7]=>[7,2,8,5,4,6,1,3]=>[2,7,1,4,5,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[3,1,6,8,5,2,4,7]=>[6,2,7,8,5,1,3,4]=>[3,7,2,1,4,8,6,5]=>[[[.,[.,.]],.],[.,[[[.,.],.],.]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,2,7,3,5,8,6,1]=>[8,4,7,2,5,6,3,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[3,6,2,4,8,5,7,1]=>[8,6,3,4,7,2,5,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[2,7,5,4,3,8,6,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,5,1,8,4,7,6,2]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[2,4,8,3,7,6,5,1]=>[8,4,7,2,6,5,3,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[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]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[3,6,1,8,5,7,4,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,2,6,8,4,1,7,3]=>[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[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]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[2,7,6,3,4,1,8,5]=>[6,8,5,4,3,1,7,2]=>[3,1,4,5,6,8,2,7]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[5,7,6,3,1,2,8,4]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[8,2,1,6,7,3,5,4]=>[8,3,2,7,6,5,4,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[6,2,8,1,7,5,3,4]=>[8,4,7,2,6,5,3,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[3,5,1,8,7,6,2,4]=>[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[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]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,7,8,3,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,2,3,4,5,7,8,6,9]=>[1,2,3,4,5,8,7,6,9]=>[9,8,7,6,5,2,3,4,1]=>[[[[[[[.,.],.],.],.],.],[.,[.,.]]],.]
[3,2,5,6,8,4,7,1]=>[8,2,6,4,7,3,5,1]=>[1,7,3,5,2,6,4,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[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]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[5,3,2,4,7,8,1,6]=>[7,4,3,2,8,6,1,5]=>[2,5,6,7,1,3,8,4]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]
[4,2,5,7,3,8,1,6]=>[7,5,3,8,2,6,1,4]=>[2,4,6,1,7,3,8,5]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[4,7,3,1,6,8,2,5]=>[7,8,4,3,5,6,1,2]=>[2,1,5,6,4,3,8,7]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]
[1,7,4,6,8,3,2,5]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,2,5,6,3,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,4,1,3,7,8,2,6]=>[7,4,3,2,8,6,1,5]=>[2,5,6,7,1,3,8,4]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]
[6,1,5,8,3,7,2,4]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,1,3,5,7,8,2,6]=>[7,2,3,4,8,6,1,5]=>[2,7,6,5,1,3,8,4]=>[[.,[[[.,.],.],.]],[.,[[.,.],.]]]
[6,1,5,8,4,3,2,7]=>[7,2,6,8,5,3,1,4]=>[2,7,3,1,4,6,8,5]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]
[7,2,1,6,8,3,5,4]=>[8,3,2,7,6,5,4,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[5,6,4,1,8,3,2,7]=>[7,6,4,3,8,2,1,5]=>[2,3,5,6,1,7,8,4]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[4,5,2,1,7,8,3,6]=>[7,4,3,2,8,6,1,5]=>[2,5,6,7,1,3,8,4]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]
[2,3,7,8,5,1,6,4]=>[6,2,8,7,5,1,4,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[1,2,6,7,4,3,5,8]=>[1,2,7,6,5,4,3,8]=>[8,7,2,3,4,5,6,1]=>[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]
[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]=>[[.,.],[.,[.,[.,[.,[.,[[.,.],.]]]]]]]
[6,2,3,1,8,5,4,7]=>[7,4,3,2,8,6,1,5]=>[2,5,6,7,1,3,8,4]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]
[5,1,2,6,4,8,3,7]=>[7,2,3,5,4,8,1,6]=>[2,7,6,4,5,1,8,3]=>[[.,[[[.,.],.],[.,.]]],[[.,.],.]]
[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]=>[2,3,6,1,4,7,8,5]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[3,4,8,2,5,6,1,7]=>[7,4,8,2,5,6,1,3]=>[2,5,1,7,4,3,8,6]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[2,8,3,6,7,4,5,1]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,8,2,7,5,3,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,3,2,5,8,4,1,7]=>[7,6,3,4,8,2,1,5]=>[2,3,6,5,1,7,8,4]=>[[.,[.,[[.,.],.]]],[[.,[.,.]],.]]
[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]=>[2,4,1,5,7,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[2,8,4,5,1,6,3,7]=>[5,8,7,4,1,6,3,2]=>[4,1,2,5,8,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[3,2,5,8,4,7,1,6]=>[7,2,5,8,3,6,1,4]=>[2,7,4,1,6,3,8,5]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[2,5,8,1,3,4,7,6]=>[4,6,8,1,5,2,7,3]=>[5,3,1,8,4,7,2,6]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]
[3,5,1,8,7,4,2,6]=>[7,6,3,8,5,2,1,4]=>[2,3,6,1,4,7,8,5]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[4,6,1,3,8,2,7,5]=>[6,8,3,4,7,1,5,2]=>[3,1,6,5,2,8,4,7]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[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]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[3,1,7,6,2,8,5,4]=>[5,2,8,7,1,6,4,3]=>[4,7,1,2,8,3,5,6]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[5,3,6,7,4,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,4,2,8,6,7,3,1]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,1,4,2,8,7,3,5]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[3,7,2,6,8,4,5,1]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,1,8,6,4,2,7,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,2,1,8,5,7,4,3]=>[8,3,2,7,6,5,4,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[5,4,6,2,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[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]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,4,8,2,7,6,5,3]=>[1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,2,3,7,8,9,4,5,6]=>[1,2,3,9,8,7,6,5,4]=>[9,8,7,1,2,3,4,5,6]=>[[[[.,.],.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,2,3,8,9,6,7,4,5]=>[1,2,3,9,8,7,6,5,4]=>[9,8,7,1,2,3,4,5,6]=>[[[[.,.],.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,5,8,9,2,6,7,3,4]=>[1,9,8,7,5,6,4,3,2]=>[9,1,2,3,5,4,6,7,8]=>[[.,.],[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,2,7,9,5,8,3,6,4]=>[1,2,9,8,7,6,5,4,3]=>[9,8,1,2,3,4,5,6,7]=>[[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,9,6,7,4,5,2,3]=>[1,9,8,7,6,5,4,3,2]=>[9,1,2,3,4,5,6,7,8]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,6,9,4,8,2,7,5,3]=>[1,9,8,7,6,5,4,3,2]=>[9,1,2,3,4,5,6,7,8]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[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]=>[10,9,8,7,1,2,3,4,5,6]=>[[[[[.,.],.],.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,2,3,4,5,8,10,6,9,7]=>[1,2,3,4,5,10,9,8,7,6]=>[10,9,8,7,6,1,2,3,4,5]=>[[[[[[.,.],.],.],.],.],[.,[.,[.,[.,.]]]]]
[1,2,7,8,9,10,3,4,5,6]=>[1,2,10,9,8,7,6,5,4,3]=>[10,9,1,2,3,4,5,6,7,8]=>[[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,2,3,4,9,10,7,8,5,6]=>[1,2,3,4,10,9,8,7,6,5]=>[10,9,8,7,1,2,3,4,5,6]=>[[[[[.,.],.],.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,2,3,8,10,6,9,4,7,5]=>[1,2,3,10,9,8,7,6,5,4]=>[10,9,8,1,2,3,4,5,6,7]=>[[[[.,.],.],.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[10,1,2,3,4,5,6,7,8,9]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[1,2,9,10,7,8,5,6,3,4]=>[1,2,10,9,8,7,6,5,4,3]=>[10,9,1,2,3,4,5,6,7,8]=>[[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[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]=>[10,1,2,3,4,5,6,7,8,9]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[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]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[2,1,4,7,5,3,8,6]=>[2,1,6,8,5,3,7,4]=>[7,8,3,1,4,6,2,5]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]
[4,7,3,6,5,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,7,6,3,1,5,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[2,4,7,3,8,5,1,6]=>[7,4,8,2,6,5,1,3]=>[2,5,1,7,3,4,8,6]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[6,7,5,2,1,4,8,3]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[8,7,1,2,4,3,5,6]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[1,8,2,7,3,5,6,4]=>[1,8,3,7,5,6,4,2]=>[8,1,6,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,7,4,8,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,6,3,5,7,4,8,2]=>[1,8,6,4,5,3,7,2]=>[8,1,3,5,4,6,2,7]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[1,5,4,7,2,8,3,6]=>[1,7,5,8,3,6,2,4]=>[8,2,4,1,6,3,7,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[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]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[3,7,4,2,5,6,1,8]=>[7,6,4,3,5,2,1,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[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]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[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]=>[4,1,6,5,8,3,2,7]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]
[7,1,6,8,3,4,2,5]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,2,6,3,5,7,4]=>[8,2,3,7,5,6,4,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[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]=>[3,6,7,1,4,8,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[1,4,3,2,5,6,7,8,9]=>[1,4,3,2,5,6,7,8,9]=>[9,6,7,8,5,4,3,2,1]=>[[[[[[[.,.],[.,[.,.]]],.],.],.],.],.]
[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]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[3,2,8,7,1,6,4,5]=>[5,2,8,7,1,6,4,3]=>[4,7,1,2,8,3,5,6]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[2,7,8,3,1,6,4,5]=>[5,8,7,4,1,6,3,2]=>[4,1,2,5,8,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[2,7,8,5,1,4,6,3]=>[5,8,7,6,1,4,3,2]=>[4,1,2,3,8,5,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,7,8,1,5,4,6,3]=>[4,8,7,1,6,5,3,2]=>[5,1,2,8,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[2,7,8,1,4,5,6,3]=>[4,8,7,1,6,5,3,2]=>[5,1,2,8,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[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]=>[3,2,4,5,6,8,7,1]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[6,1,5,3,8,4,7,2]=>[8,2,6,4,7,3,5,1]=>[1,7,3,5,2,6,4,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[1,8,6,2,5,4,7,3]=>[1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[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]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[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]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[4,2,6,5,7,3,1,8]=>[7,6,4,3,5,2,1,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[5,4,6,2,7,3,1,8]=>[7,6,4,3,5,2,1,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[3,2,6,5,8,7,1,4]=>[7,2,8,4,6,5,1,3]=>[2,7,1,5,3,4,8,6]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[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]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[4,3,7,2,8,5,1,6]=>[7,4,8,2,6,5,1,3]=>[2,5,1,7,3,4,8,6]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[4,3,6,2,8,5,1,7]=>[7,4,6,2,8,3,1,5]=>[2,5,3,7,1,6,8,4]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]
[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]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,2,6,4,8,7,1,5]=>[7,2,8,4,6,5,1,3]=>[2,7,1,5,3,4,8,6]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[4,2,7,3,8,6,1,5]=>[7,4,8,2,6,5,1,3]=>[2,5,1,7,3,4,8,6]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[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]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[3,2,7,6,8,5,1,4]=>[7,2,8,6,5,4,1,3]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[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]=>[3,1,6,2,4,8,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[3,7,4,8,2,1,5,6]=>[6,8,5,7,3,1,4,2]=>[3,1,4,2,6,8,5,7]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,7,5,6,4,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,2,7,5,3,8,4,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,4,8,3,7,5,6,1]=>[8,4,7,2,6,5,3,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[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]=>[3,4,6,2,7,8,5,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[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]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[2,6,7,4,3,8,1,5]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[3,7,6,4,5,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,1,5,8,6,4,7,2]=>[8,2,6,7,5,3,4,1]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[2,3,8,6,4,5,7,1]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,3,8,6,4,7,5,1]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,6,2,8,7,4,5,1]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,5,6,1,8,7,3,4]=>[4,8,7,1,6,5,3,2]=>[5,1,2,8,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[3,6,2,8,4,7,5,1]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,3,8,5,7,4,6,1]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,3,8,6,7,5,4,1]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[2,3,6,1,4,7,8,5]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[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]=>[2,7,3,1,4,6,8,5]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]
[1,5,8,3,6,4,2,7]=>[1,7,8,6,5,4,2,3]=>[8,2,1,3,4,5,7,6]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[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]=>[8,2,1,3,4,5,7,6]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[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]=>[8,3,1,2,4,7,5,6]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]
[6,1,2,5,3,4,7,8]=>[6,2,3,5,4,1,7,8]=>[3,7,6,4,5,8,2,1]=>[[[.,[[[.,.],.],[.,[.,.]]]],.],.]
[6,1,2,3,5,4,7,8,9]=>[6,2,3,4,5,1,7,8,9]=>[4,8,7,6,5,9,3,2,1]=>[[[[.,[[[[.,.],.],.],[.,.]]],.],.],.]
[6,1,2,5,4,3,7,8]=>[6,2,3,5,4,1,7,8]=>[3,7,6,4,5,8,2,1]=>[[[.,[[[.,.],.],[.,[.,.]]]],.],.]
[5,1,4,6,7,3,2,8]=>[7,2,6,4,5,3,1,8]=>[2,7,3,5,4,6,8,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[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]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,1,6,7,3,5,4,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,2,5,1,3,7,6,8]=>[5,4,3,2,1,7,6,8]=>[4,5,6,7,8,2,3,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[1,3,2,6,8,4,7,5]=>[1,3,2,8,7,6,5,4]=>[8,6,7,1,2,3,4,5]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]
[8,1,7,5,4,2,6,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,2,6,4,7,3,5,8]=>[1,2,7,6,5,4,3,8]=>[8,7,2,3,4,5,6,1]=>[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,1,6,5,7,8,4,2]=>[8,2,7,4,5,6,3,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[4,7,1,3,2,5,6,8]=>[5,7,3,4,1,6,2,8]=>[4,2,6,5,8,3,7,1]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[1,7,2,5,6,8,4,3]=>[1,8,3,7,5,6,4,2]=>[8,1,6,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[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]=>[2,7,3,1,4,6,8,5]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]
[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]=>[4,3,5,6,8,7,2,1]=>[[[[.,.],[.,[.,[[.,.],.]]]],.],.]
[6,3,4,2,1,8,7,5]=>[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[4,5,1,7,6,3,2,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[5,4,2,1,8,7,3,6]=>[7,4,3,2,8,6,1,5]=>[2,5,6,7,1,3,8,4]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]
[6,2,1,5,4,3,8,7]=>[6,3,2,5,4,1,8,7]=>[3,6,7,4,5,8,1,2]=>[[.,[[.,[.,.]],[.,[.,.]]]],[.,.]]
[1,4,2,6,7,8,5,3]=>[1,8,3,7,5,6,4,2]=>[8,1,6,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[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]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[3,2,4,5,7,8,1,6]=>[7,2,3,4,8,6,1,5]=>[2,7,6,5,1,3,8,4]=>[[.,[[[.,.],.],.]],[.,[[.,.],.]]]
[2,3,4,7,5,8,6,1]=>[8,2,3,7,5,6,4,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[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]=>[8,1,6,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[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]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[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]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,2,8,6,4,1,3,5]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[1,7,6,3,4,2,5,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[1,5,4,2,3,8,7,6]=>[1,5,4,3,2,8,7,6]=>[8,4,5,6,7,1,2,3]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]
[1,5,3,2,4,6,7,8]=>[1,5,4,3,2,6,7,8]=>[8,4,5,6,7,3,2,1]=>[[[[[.,.],[.,[.,[.,.]]]],.],.],.]
[1,5,4,2,3,7,8,6]=>[1,5,4,3,2,8,7,6]=>[8,4,5,6,7,1,2,3]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]
[1,2,7,6,3,5,8,4]=>[1,2,8,6,5,4,7,3]=>[8,7,1,3,4,5,2,6]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]
[8,1,3,2,6,5,7,4]=>[8,2,4,3,7,6,5,1]=>[1,7,5,6,2,3,4,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,3,4,1,8,2,6,5]=>[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[7,4,5,1,6,3,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,5,6,1,4,3,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[1,7,3,5,2,6,4,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[4,2,8,3,6,5,7,1]=>[8,4,7,2,6,5,3,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,5,7,1,2,8,3,4]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,1,2,5,3,7,6,4]=>[8,2,3,7,5,6,4,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[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]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[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]=>[2,6,7,1,3,4,8,5]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]
[3,7,1,6,2,5,8,4]=>[5,8,3,6,1,4,7,2]=>[4,1,6,3,8,5,2,7]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]
[4,6,7,2,5,1,8,3]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,6,2,5,1,7,8,4]=>[5,8,3,4,1,6,7,2]=>[4,1,6,5,8,3,2,7]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]
[3,4,2,7,8,1,5,6]=>[6,3,2,8,7,1,5,4]=>[3,6,7,1,2,8,4,5]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]
[3,8,5,2,4,7,1,6]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[7,1,4,2,5,8,6,3]=>[8,2,7,4,5,6,3,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[7,8,5,1,2,4,3,6]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,2,3,8,6,4,1,5]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,2,3,8,7,4,1,6]=>[7,6,3,8,5,2,1,4]=>[2,3,6,1,4,7,8,5]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[5,7,6,3,1,2,4,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,2,3,7,1,4,5,8]=>[7,5,3,6,2,4,1,8]=>[2,4,6,3,7,5,8,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[2,3,5,7,9,1,4,6,8]=>[6,2,7,8,9,1,3,4,5]=>[4,8,3,2,1,9,7,6,5]=>[[[[.,[.,.]],.],.],[[[[.,.],.],.],.]]
[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]=>[5,9,4,3,2,10,8,7,6,1]=>[[[[[.,[.,.]],.],.],[[[[.,.],.],.],.]],.]
[8,6,3,2,1,7,5,4]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,3,4,1,7,8,2,6]=>[7,4,3,2,8,6,1,5]=>[2,5,6,7,1,3,8,4]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]
[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]=>[3,7,4,5,6,8,1,2]=>[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]
[5,1,3,6,2,4,8,7]=>[6,2,5,4,3,1,8,7]=>[3,7,4,5,6,8,1,2]=>[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]
[1,5,7,6,8,2,4,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,1,3,8,4,2,6]=>[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[2,6,1,4,3,7,8,5]=>[3,8,1,5,4,6,7,2]=>[6,1,8,4,5,3,2,7]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]
[5,3,7,6,1,8,4,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[1,5,6,3,7,8,4,2]=>[1,8,7,4,5,6,3,2]=>[8,1,2,5,4,3,6,7]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[1,5,7,6,3,8,4,2]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[7,3,5,6,1,8,4,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,3,6,1,5,8,4,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[1,6,3,7,8,5,4,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,7,8,6,3,5,4,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,7,5,6,1,8,4,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,7,5,4,6,1,2,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,3,7,4,6,1,2,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,3,5,4,6,1,2,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[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]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,7,6,3,4,1,2,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[3,5,4,1,2,7,6,8]=>[5,4,3,2,1,7,6,8]=>[4,5,6,7,8,2,3,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[5,7,6,1,3,2,4,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,3,4,1,2,7,6,8]=>[5,4,3,2,1,7,6,8]=>[4,5,6,7,8,2,3,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[7,8,3,1,2,5,4,6]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,5,1,3,8,6,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,1,3,8,2,5,4,6]=>[8,2,5,7,3,6,4,1]=>[1,7,4,2,6,3,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[5,7,6,1,3,8,2,4]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[3,5,6,7,1,8,2,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[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]=>[3,1,4,5,6,8,2,7]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[3,4,6,5,1,8,7,2]=>[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[8,7,1,5,3,2,6,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,5,1,4,7,2,8,6]=>[6,4,3,2,8,1,7,5]=>[3,5,6,7,1,8,2,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[5,1,4,8,7,3,2,6]=>[7,2,6,8,5,3,1,4]=>[2,7,3,1,4,6,8,5]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]
[2,1,4,3,6,5,9,7,8]=>[2,1,4,3,6,5,9,8,7]=>[8,9,6,7,4,5,1,2,3]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,[.,.]]]
[1,5,3,8,4,2,7,6]=>[1,6,5,8,3,2,7,4]=>[8,3,4,1,6,7,2,5]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[5,4,2,1,8,3,7,6]=>[6,4,3,2,8,1,7,5]=>[3,5,6,7,1,8,2,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[3,1,7,4,2,6,8,5]=>[5,2,8,4,1,6,7,3]=>[4,7,1,5,8,3,2,6]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[7,4,8,2,3,5,1,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,1,3,2,6,7,5]=>[8,5,3,4,2,7,6,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[8,1,7,3,2,5,6,4]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[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]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[1,5,2,8,3,6,7,4]=>[1,8,3,7,5,6,4,2]=>[8,1,6,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[5,6,2,3,7,4,1,8]=>[7,6,4,3,5,2,1,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[6,2,4,7,3,5,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,4,8,5,3,6,7,2]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[2,5,6,3,1,8,4,7]=>[5,7,4,3,1,8,2,6]=>[4,2,5,6,8,1,7,3]=>[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,6,7,5,1,2,8,3]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,2,8,1,4,5,3,6]=>[8,4,7,2,6,5,3,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,1,4,7,3,8,2,5]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[7,1,6,3,4,8,2,5]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[2,8,4,6,3,1,5,7]=>[6,8,5,7,3,1,4,2]=>[3,1,4,2,6,8,5,7]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[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]=>[2,1,5,6,4,3,8,7]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]
[3,8,4,1,7,2,5,6]=>[6,8,4,3,7,1,5,2]=>[3,1,5,6,2,8,4,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[6,7,5,1,3,8,2,4]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,5,1,3,6,7,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,5,4,7,6,2,3,8]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[8,1,3,6,2,5,7,4]=>[8,2,5,7,3,6,4,1]=>[1,7,4,2,6,3,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[1,5,6,3,8,4,7,2]=>[1,8,6,4,7,3,5,2]=>[8,1,3,5,2,6,4,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[5,6,1,3,7,2,8,4]=>[8,6,3,4,5,2,7,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[5,6,1,2,8,4,7,3]=>[8,6,3,4,7,2,5,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[1,7,8,6,3,4,2,5]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,7,3,8,6,4,2,5]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,1,8,6,4,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,8,1,5,6,4,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,1,8,5,6,4,2,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,1,5,8,6,4,2,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,3,5,6,4,2,7]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,3,8,5,6,4,2,7]=>[1,7,8,6,5,4,2,3]=>[8,2,1,3,4,5,7,6]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[1,5,7,8,6,4,2,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,2,6,5,3,4,7]=>[1,8,3,7,6,5,4,2]=>[8,1,6,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[8,6,1,5,2,3,4,7]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,5,1,6,2,3,4,7]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[4,1,2,3,8,5,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,2,5,3,4,7,6]=>[8,2,3,6,5,4,7,1]=>[1,7,6,3,4,5,2,8]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[3,7,6,2,5,8,4,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,2,7,3,4,8,1,6]=>[7,5,8,4,2,6,1,3]=>[2,4,1,5,7,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[8,6,4,7,3,5,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,2,1,6,5,7,8,3]=>[8,3,2,5,4,6,7,1]=>[1,6,7,4,5,3,2,8]=>[.,[[[[.,[.,.]],[.,.]],.],[.,.]]]
[2,7,4,6,5,1,8,3]=>[6,8,5,4,3,1,7,2]=>[3,1,4,5,6,8,2,7]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[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]=>[8,7,1,2,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,5,8,7,6,3,4,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,4,7,8,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,6,4,8,5,7,3,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,6,8,5,2,7,3,4]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,6,8,5,4,2,3,7]=>[1,7,8,6,5,4,2,3]=>[8,2,1,3,4,5,7,6]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[1,3,4,8,5,2,7,6]=>[1,6,3,8,5,2,7,4]=>[8,3,6,1,4,7,2,5]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[1,8,4,7,2,3,6,5]=>[1,8,6,7,5,3,4,2]=>[8,1,3,2,4,6,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[5,7,8,2,4,6,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,8,1,6,4,2,5,7]=>[6,8,3,7,5,1,4,2]=>[3,1,6,2,4,8,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[5,6,1,8,3,7,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,8,1,6,5,3,7,4]=>[3,8,1,7,6,5,4,2]=>[6,1,8,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[2,1,5,7,6,3,8,4]=>[2,1,8,6,5,4,7,3]=>[7,8,1,3,4,5,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[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]=>[8,1,3,5,4,6,2,7]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[1,5,8,2,3,4,7,6]=>[1,6,8,4,5,2,7,3]=>[8,3,1,5,4,7,2,6]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]
[1,2,7,8,4,5,6,3]=>[1,2,8,7,6,5,4,3]=>[8,7,1,2,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[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]=>[2,7,4,5,6,1,8,3]=>[[.,[[.,.],[.,[.,.]]]],[[.,.],.]]
[2,3,6,4,1,7,5,8]=>[5,2,7,4,1,6,3,8]=>[4,7,2,5,8,3,6,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[2,3,7,1,5,8,4,6]=>[4,2,8,1,7,6,5,3]=>[5,7,1,8,2,3,4,6]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[2,3,6,5,1,7,4,8]=>[5,2,7,4,1,6,3,8]=>[4,7,2,5,8,3,6,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[3,6,4,2,1,5,7,8]=>[5,6,4,3,1,2,7,8]=>[4,3,5,6,8,7,2,1]=>[[[[.,.],[.,[.,[[.,.],.]]]],.],.]
[4,3,2,6,5,8,1,7]=>[7,3,2,5,4,8,1,6]=>[2,6,7,4,5,1,8,3]=>[[.,[[.,[.,.]],[.,.]]],[[.,.],.]]
[4,1,5,7,6,8,3,2]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[3,5,6,2,1,4,7,8]=>[5,6,4,3,1,2,7,8]=>[4,3,5,6,8,7,2,1]=>[[[[.,.],[.,[.,[[.,.],.]]]],.],.]
[4,3,6,5,2,8,1,7]=>[7,5,4,3,2,8,1,6]=>[2,4,5,6,7,1,8,3]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[3,6,4,5,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[3,5,6,4,2,8,1,7]=>[7,5,4,3,2,8,1,6]=>[2,4,5,6,7,1,8,3]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[1,2,3,5,4,6,7,8,9,10]=>[1,2,3,5,4,6,7,8,9,10]=>[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]=>[3,1,6,4,5,8,2,7]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[4,5,8,2,3,1,6,7]=>[6,5,8,4,2,1,7,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[3,5,4,8,1,7,2,6]=>[7,5,3,8,2,6,1,4]=>[2,4,6,1,7,3,8,5]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[5,3,6,8,1,4,7,2]=>[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[4,7,2,8,3,1,6,5]=>[6,8,5,7,3,1,4,2]=>[3,1,4,2,6,8,5,7]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[1,2,5,6,8,3,7,4]=>[1,2,8,6,7,4,5,3]=>[8,7,1,3,2,5,4,6]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[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]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[1,2,5,6,8,4,7,3]=>[1,2,8,6,7,4,5,3]=>[8,7,1,3,2,5,4,6]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[1,5,6,8,4,7,2,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,3,5,1,8,6,7,2]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[1,3,5,6,8,4,7,2]=>[1,8,6,4,7,3,5,2]=>[8,1,3,5,2,6,4,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[6,5,1,2,4,8,7,3]=>[8,5,3,4,2,7,6,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[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]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,2,1,7,8,6,4,5]=>[3,2,1,8,7,6,5,4]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[8,6,7,1,2,5,3,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,5,6,4,2,8,7,3]=>[1,8,5,4,3,7,6,2]=>[8,1,4,5,6,2,3,7]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[7,5,1,4,8,2,3,6]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,2,8,1,7,5,6,4]=>[4,2,8,1,7,6,5,3]=>[5,7,1,8,2,3,4,6]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,8,1,7,3,4,2,5]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,5,6,7,8,9,2,3,4]=>[1,9,8,7,5,6,4,3,2]=>[9,1,2,3,5,4,6,7,8]=>[[.,.],[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,4,2,1,5,6,7,8,9]=>[4,3,2,1,5,6,7,8,9]=>[6,7,8,9,5,4,3,2,1]=>[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.]
[4,3,1,2,5,6,7,8,9]=>[4,3,2,1,5,6,7,8,9]=>[6,7,8,9,5,4,3,2,1]=>[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.]
[3,4,2,1,5,6,7,8,9,10]=>[4,3,2,1,5,6,7,8,9,10]=>[7,8,9,10,6,5,4,3,2,1]=>[[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.],.]
[4,5,2,1,3,6,7,8,9]=>[5,4,3,2,1,6,7,8,9]=>[5,6,7,8,9,4,3,2,1]=>[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.]
[5,3,1,2,4,6,7,8,9]=>[5,4,3,2,1,6,7,8,9]=>[5,6,7,8,9,4,3,2,1]=>[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.]
[4,3,5,1,2,6,7,8,9]=>[5,4,3,2,1,6,7,8,9]=>[5,6,7,8,9,4,3,2,1]=>[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.]
[4,3,1,2,5,6,7,8,9,10]=>[4,3,2,1,5,6,7,8,9,10]=>[7,8,9,10,6,5,4,3,2,1]=>[[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.],.]
[4,6,5,3,8,2,7,1]=>[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[4,5,6,3,8,1,7,2]=>[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[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]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,2,4,5,7,3,1,8]=>[7,6,4,3,5,2,1,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[7,8,1,5,6,4,3,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,3,7,5,1,4,2,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[3,1,7,2,5,8,6,4]=>[4,2,8,1,7,6,5,3]=>[5,7,1,8,2,3,4,6]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[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]=>[5,1,2,8,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[3,5,6,2,8,1,7,4]=>[6,8,4,3,7,1,5,2]=>[3,1,5,6,2,8,4,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[3,1,4,6,8,2,7,5]=>[6,2,3,8,7,1,5,4]=>[3,7,6,1,2,8,4,5]=>[[.,[[.,.],.]],[.,[[.,.],[.,.]]]]
[4,1,5,7,3,8,2,6]=>[7,2,5,8,3,6,1,4]=>[2,7,4,1,6,3,8,5]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,6,5,7,4,1,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[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]=>[1,5,3,7,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[2,5,3,7,8,6,4,1]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,2,8,4,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,4,3,1,2,6,7,8,9]=>[5,4,3,2,1,6,7,8,9]=>[5,6,7,8,9,4,3,2,1]=>[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.]
[6,5,4,3,1,2,7,8,9]=>[6,5,4,3,2,1,7,8,9]=>[4,5,6,7,8,9,3,2,1]=>[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.]
[6,5,4,3,1,2,7,8,9,10]=>[6,5,4,3,2,1,7,8,9,10]=>[5,6,7,8,9,10,4,3,2,1]=>[[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.],.]
[7,6,5,4,3,1,2,8,9,10]=>[7,6,5,4,3,2,1,8,9,10]=>[4,5,6,7,8,9,10,3,2,1]=>[[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.],.]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,3,1,8,4,6,5,7]=>[3,2,1,8,5,7,6,4]=>[6,7,8,1,4,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[2,3,1,7,6,8,4,5]=>[3,2,1,8,7,6,5,4]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[2,3,1,8,4,6,7,5]=>[3,2,1,8,5,7,6,4]=>[6,7,8,1,4,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[4,2,3,5,1,8,6,7]=>[5,3,2,4,1,8,7,6]=>[4,6,7,5,8,1,2,3]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]
[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]=>[8,9,7,6,5,4,2,3,1]=>[[[[[[[.,[.,.]],.],.],.],.],[.,.]],.]
[2,6,8,7,1,3,5,4]=>[5,8,7,6,1,4,3,2]=>[4,1,2,3,8,5,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[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]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,1,6,2,7,5,3,8]=>[7,2,6,4,5,3,1,8]=>[2,7,3,5,4,6,8,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[7,6,2,5,3,1,4,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,5,3,1,2,8,6,7]=>[5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[2,4,5,3,1,8,6,7]=>[5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[5,7,6,2,3,1,4,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,1,3,7,5,2,6,8]=>[6,2,3,7,5,1,4,8]=>[3,7,6,2,4,8,5,1]=>[[[.,[[.,.],.]],[.,[[.,.],.]]],.]
[4,1,6,3,2,7,5,8]=>[5,2,7,4,1,6,3,8]=>[4,7,2,5,8,3,6,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[7,5,4,1,3,2,6,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[2,5,7,4,1,3,6,8]=>[5,6,7,4,1,2,3,8]=>[4,3,2,5,8,7,6,1]=>[[[[.,.],.],[.,[[[.,.],.],.]]],.]
[5,7,4,1,3,2,6,8]=>[6,7,5,4,3,1,2,8]=>[3,2,4,5,6,8,7,1]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[2,6,8,4,5,3,1,7]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[5,2,3,7,4,1,6,8]=>[6,5,3,7,2,1,4,8]=>[3,4,6,2,7,8,5,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[4,5,1,6,3,2,7,8]=>[6,5,3,4,2,1,7,8]=>[3,4,6,5,7,8,2,1]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[4,2,5,1,6,3,7,8]=>[6,4,3,2,5,1,7,8]=>[3,5,6,7,4,8,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[5,3,4,8,7,6,2,1]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,3,1,6,7,5,4,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[8,1,6,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[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]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,2,8,3,4,7,6,5]=>[1,2,8,4,5,7,6,3]=>[8,7,1,5,4,2,3,6]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,1,7,3,6,4,2,5]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,1,8,5,3,4,2,6]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[8,3,4,1,6,7,2,5]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[1,5,2,4,7,8,6,3]=>[1,8,3,4,7,6,5,2]=>[8,1,6,5,2,3,4,7]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,3,5,2,6,8,1,4]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,4,2,7,1,5,8,3]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,2,5,3,6,7,8,1]=>[8,4,3,2,5,6,7,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,[.,[.,.]]],.],.],[.,.]]]
[1,8,7,2,4,6,3,5]=>[1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,8,7,2,5,4,3,6]=>[1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,6,8,3,5,2,4,7]=>[1,7,8,6,5,4,2,3]=>[8,2,1,3,4,5,7,6]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[1,7,6,2,3,5,8,4]=>[1,8,6,4,5,3,7,2]=>[8,1,3,5,4,6,2,7]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[1,2,8,3,6,5,4,7]=>[1,2,8,4,7,6,5,3]=>[8,7,1,5,2,3,4,6]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[1,3,8,6,5,2,4,7]=>[1,6,8,7,5,2,4,3]=>[8,3,1,2,4,7,5,6]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]
[1,4,7,3,2,8,6,5]=>[1,5,8,4,2,7,6,3]=>[8,4,1,5,7,2,3,6]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]
[1,8,6,5,2,4,7,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,6,8,4,3,2,5,7]=>[1,7,8,6,5,4,2,3]=>[8,2,1,3,4,5,7,6]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[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]=>[8,7,2,4,5,1,6,3]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]
[1,6,5,2,8,4,7,3]=>[1,8,6,4,7,3,5,2]=>[8,1,3,5,2,6,4,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[1,8,3,7,2,4,6,5]=>[1,8,5,7,3,6,4,2]=>[8,1,4,2,6,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[5,4,2,8,7,6,1,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[7,3,2,6,1,5,8,4]=>[8,5,3,6,2,4,7,1]=>[1,4,6,3,7,5,2,8]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,6,4,8,5,3,7,2]=>[1,8,6,7,5,3,4,2]=>[8,1,3,2,4,6,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[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]=>[8,1,4,5,6,3,2,7]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[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]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[4,7,2,1,6,5,8,3]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[2,7,6,4,1,5,8,3]=>[5,8,6,4,1,3,7,2]=>[4,1,3,5,8,6,2,7]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,5,1,3,7,8,2,4]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[7,2,1,4,3,5,8,6]=>[8,3,2,5,4,6,7,1]=>[1,6,7,4,5,3,2,8]=>[.,[[[[.,[.,.]],[.,.]],.],[.,.]]]
[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]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[7,1,2,4,6,3,8,5]=>[8,2,3,6,5,4,7,1]=>[1,7,6,3,4,5,2,8]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[7,1,2,6,5,3,8,4]=>[8,2,3,6,5,4,7,1]=>[1,7,6,3,4,5,2,8]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[7,5,6,1,2,4,8,3]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,1,4,8,7,2,3,5]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,1,8,5,7,2,3,4]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,6,7,5,8,3,4,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,1,7,5,8,2,3,4]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,1,4,7,8,2,3,5]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,1,8,7,5,2,3,4]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,3,1,2,4,6,5,7]=>[8,4,3,2,5,7,6,1]=>[1,5,6,7,4,2,3,8]=>[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]
[8,3,1,2,4,5,7,6]=>[8,4,3,2,5,6,7,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,[.,[.,.]]],.],.],[.,.]]]
[6,3,1,2,4,7,5,8]=>[7,4,3,2,5,6,1,8]=>[2,5,6,7,4,3,8,1]=>[[.,[[[.,[.,[.,.]]],.],[.,.]]],.]
[6,7,1,4,2,3,5,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[6,1,7,4,8,2,3,5]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,3,4,5,6,7,8,2,9]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[1,7,3,5,2,6,4,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[6,2,5,4,7,1,8,3]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[2,7,4,5,1,8,3,6]=>[5,8,7,4,1,6,3,2]=>[4,1,2,5,8,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[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]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[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]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[2,7,1,8,5,6,4,3]=>[3,8,1,7,6,5,4,2]=>[6,1,8,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[2,7,8,6,1,5,3,4]=>[5,8,7,6,1,4,3,2]=>[4,1,2,3,8,5,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[4,6,8,2,3,5,1,7]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[6,8,2,1,3,5,4,7]=>[7,8,4,3,5,6,1,2]=>[2,1,5,6,4,3,8,7]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]
[3,5,8,6,2,1,4,7]=>[6,7,8,5,4,1,2,3]=>[3,2,1,4,5,8,7,6]=>[[[.,.],.],[.,[.,[[[.,.],.],.]]]]
[2,8,5,3,1,4,7,6]=>[5,8,6,4,1,3,7,2]=>[4,1,3,5,8,6,2,7]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]
[1,7,8,4,6,3,2,5]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[3,8,2,7,5,4,6,1]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,7,1,4,5,3,6,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,1,2,7,5,6,3,4]=>[8,2,3,7,6,5,4,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,2,5,1,4,8,3,6]=>[8,4,7,2,5,6,3,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[5,8,1,3,4,2,7,6]=>[6,8,3,5,4,1,7,2]=>[3,1,6,4,5,8,2,7]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[1,5,6,3,2,8,7,4]=>[1,8,5,4,3,7,6,2]=>[8,1,4,5,6,2,3,7]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[1,3,7,6,8,4,2,5]=>[1,7,8,6,5,4,2,3]=>[8,2,1,3,4,5,7,6]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[1,6,7,3,2,8,5,4]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[3,2,7,6,8,4,5,1]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,3,8,5,2,7,6,4]=>[1,5,8,7,2,6,4,3]=>[8,4,1,2,7,3,5,6]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[6,4,1,5,2,8,7,3]=>[8,5,3,4,2,7,6,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[7,6,5,3,1,8,2,4]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,5,1,4,7,3,6,8]=>[3,6,1,4,7,2,5,8]=>[6,3,8,5,2,7,4,1]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]
[3,1,6,5,7,2,4,8]=>[6,2,7,4,5,1,3,8]=>[3,7,2,5,4,8,6,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[2,6,1,5,7,4,8,3]=>[3,8,1,6,5,4,7,2]=>[6,1,8,3,4,5,2,7]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[3,1,6,5,2,4,7,8]=>[5,2,6,4,1,3,7,8]=>[4,7,3,5,8,6,2,1]=>[[[[.,[.,.]],[.,[[.,.],.]]],.],.]
[3,6,5,1,4,2,7,8]=>[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[3,6,5,2,1,4,7,8]=>[5,6,4,3,1,2,7,8]=>[4,3,5,6,8,7,2,1]=>[[[[.,.],[.,[.,[[.,.],.]]]],.],.]
[5,4,3,6,1,7,2,8]=>[7,5,3,4,2,6,1,8]=>[2,4,6,5,7,3,8,1]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[4,5,2,7,6,1,3,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[4,6,5,3,1,2,7,8]=>[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[5,4,1,6,3,7,2,8]=>[7,5,3,4,2,6,1,8]=>[2,4,6,5,7,3,8,1]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[3,6,5,7,1,4,2,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[3,6,5,1,4,7,2,8]=>[7,5,4,3,2,6,1,8]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[4,3,6,5,7,1,2,8]=>[7,6,4,3,5,2,1,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[4,2,6,5,1,3,7,8]=>[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[4,2,5,7,6,1,3,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[3,4,7,6,1,2,5,8]=>[6,5,7,4,2,1,3,8]=>[3,4,2,5,7,8,6,1]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[4,1,6,5,2,7,3,8]=>[7,2,5,4,3,6,1,8]=>[2,7,4,5,6,3,8,1]=>[[.,[[[.,.],[.,[.,.]]],[.,.]]],.]
[3,6,5,7,2,1,4,8]=>[6,7,5,4,3,1,2,8]=>[3,2,4,5,6,8,7,1]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[3,5,7,6,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,4,2,6,3,7,1,8]=>[7,5,3,4,2,6,1,8]=>[2,4,6,5,7,3,8,1]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[4,6,5,2,7,3,1,8]=>[7,6,4,3,5,2,1,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[4,6,5,2,1,7,3,8]=>[7,5,4,3,2,6,1,8]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[3,5,8,2,1,4,6,7]=>[5,6,8,4,1,2,7,3]=>[4,3,1,5,8,7,2,6]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]
[5,3,8,2,1,4,6,7]=>[6,5,8,4,2,1,7,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[5,3,1,8,2,4,6,7]=>[6,5,3,8,2,1,7,4]=>[3,4,6,1,7,8,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[1,5,8,4,2,3,6,7]=>[1,6,8,5,4,2,7,3]=>[8,3,1,4,5,7,2,6]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]
[5,8,2,4,1,6,7,3]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,8,2,4,3,6,1,7]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[5,8,1,4,6,2,3,7]=>[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[1,5,8,4,6,7,2,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,1,8,4,6,7,2,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,8,1,6,2,4,5,7]=>[5,8,3,7,1,6,4,2]=>[4,1,6,2,8,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[3,8,6,2,1,4,5,7]=>[5,8,7,4,1,6,3,2]=>[4,1,2,5,8,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[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]=>[1,7,4,2,6,3,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[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]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[6,1,8,3,4,5,2,7]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[8,4,2,1,5,3,7,6]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[8,2,1,4,7,3,6,5]=>[8,3,2,6,7,4,5,1]=>[1,6,7,3,2,5,4,8]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]
[1,6,2,5,8,4,7,3]=>[1,8,3,6,7,4,5,2]=>[8,1,6,3,2,5,4,7]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[3,2,1,7,4,5,8,6]=>[3,2,1,8,5,6,7,4]=>[6,7,8,1,4,3,2,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[2,6,8,5,1,7,4,3]=>[5,8,7,6,1,4,3,2]=>[4,1,2,3,8,5,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[2,1,5,8,7,3,6,4]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[3,2,1,6,7,4,8,5]=>[3,2,1,8,6,5,7,4]=>[6,7,8,1,3,4,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[4,3,1,7,8,5,2,6]=>[7,3,2,8,6,5,1,4]=>[2,6,7,1,3,4,8,5]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]
[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]=>[8,7,1,2,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[5,3,2,7,8,6,4,1]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,2,7,8,3,5,6,1]=>[8,5,7,6,2,4,3,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[2,8,3,7,1,4,6,5]=>[5,8,3,7,1,6,4,2]=>[4,1,6,2,8,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[2,8,7,1,5,3,6,4]=>[4,8,7,1,6,5,3,2]=>[5,1,2,8,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[7,3,5,6,4,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[2,6,8,1,5,3,4,7]=>[4,7,8,1,6,5,2,3]=>[5,2,1,8,3,4,7,6]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]
[3,2,5,6,8,1,4,7]=>[6,2,7,4,8,1,3,5]=>[3,7,2,5,1,8,6,4]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]
[3,8,1,6,4,5,2,7]=>[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[8,1,3,6,5,4,2,7]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,4,3,6,2,1,8,5]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[1,2,4,8,6,3,7,5]=>[1,2,6,8,7,3,5,4]=>[8,7,3,1,2,6,4,5]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]
[5,7,2,3,1,4,8,6]=>[6,8,5,4,3,1,7,2]=>[3,1,4,5,6,8,2,7]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,1,5,8,6,3,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,5,8,7,3,1,2,6]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[1,3,8,7,6,4,2,5]=>[1,7,8,6,5,4,2,3]=>[8,2,1,3,4,5,7,6]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[2,8,5,1,7,4,6,3]=>[4,8,7,1,6,5,3,2]=>[5,1,2,8,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,8,6,4,7,5,2,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,7,4,6,3,8,5,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[1,2,8,6,4,7,5,3]=>[1,2,8,7,6,5,4,3]=>[8,7,1,2,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[4,1,8,6,3,7,5,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,4,3,1,6,2,5,7]=>[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[7,5,4,3,8,1,6,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,3,1,6,2,8,7,4]=>[8,5,3,4,2,7,6,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[3,5,4,1,7,8,2,6]=>[7,4,3,2,8,6,1,5]=>[2,5,6,7,1,3,8,4]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]
[6,4,2,1,5,7,3,8]=>[7,5,4,3,2,6,1,8]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[3,1,5,8,7,2,4,6]=>[6,2,7,8,5,1,3,4]=>[3,7,2,1,4,8,6,5]=>[[[.,[.,.]],.],[.,[[[.,.],.],.]]]
[3,2,5,7,8,4,6,1]=>[8,2,6,7,5,3,4,1]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[5,3,7,4,2,6,8,1]=>[8,5,6,4,2,3,7,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[5,3,8,4,2,1,6,7]=>[6,5,8,4,2,1,7,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[5,2,8,4,3,1,6,7]=>[6,5,8,4,2,1,7,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[5,2,7,4,3,6,8,1]=>[8,5,6,4,2,3,7,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[5,3,7,4,1,6,8,2]=>[8,5,6,4,2,3,7,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[3,1,5,7,8,4,6,2]=>[8,2,6,7,5,3,4,1]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[3,1,5,7,8,4,2,6]=>[7,2,6,8,5,3,1,4]=>[2,7,3,1,4,6,8,5]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]
[5,2,7,4,1,3,8,6]=>[6,5,8,4,2,1,7,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[6,2,3,7,4,5,1,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[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]=>[8,7,1,2,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,8,6,3,5,4,2,7]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,6,1,8,5,3,4,7]=>[3,7,1,8,6,5,2,4]=>[6,2,8,1,3,4,7,5]=>[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]
[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]=>[8,1,6,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[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]=>[1,7,5,6,2,3,4,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[7,3,5,1,4,8,6,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,1,3,2,4,5,6,8]=>[7,2,4,3,5,6,1,8]=>[2,7,5,6,4,3,8,1]=>[[.,[[[[.,.],[.,.]],.],[.,.]]],.]
[5,1,7,8,2,4,3,6]=>[7,2,8,6,5,4,1,3]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[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]=>[4,5,6,7,8,3,1,2]=>[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]]
[5,3,2,4,8,1,6,7]=>[6,4,3,2,8,1,7,5]=>[3,5,6,7,1,8,2,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[5,3,2,4,7,1,8,6]=>[6,4,3,2,8,1,7,5]=>[3,5,6,7,1,8,2,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,7,6,3,1,4,8,5]=>[5,8,6,4,1,3,7,2]=>[4,1,3,5,8,6,2,7]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]
[3,7,4,5,6,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,7,1,4,2,5,3,6]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,5,4,1,3,6,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,6,7,2,5,1,8,4]=>[6,8,5,4,3,1,7,2]=>[3,1,4,5,6,8,2,7]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[2,6,5,7,1,4,8,3]=>[5,8,6,4,1,3,7,2]=>[4,1,3,5,8,6,2,7]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]
[8,1,2,4,7,6,5,3]=>[8,2,3,7,6,5,4,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[3,4,1,8,6,7,5,2]=>[8,3,2,7,6,5,4,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[6,1,3,2,8,5,7,4]=>[8,2,4,3,7,6,5,1]=>[1,7,5,6,2,3,4,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[8,5,3,2,4,7,1,6]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,7,4,2,5,8,3,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[5,7,2,6,1,4,8,3]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,8,6,3,7,2,1,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[2,5,6,4,8,1,7,3]=>[6,8,4,3,7,1,5,2]=>[3,1,5,6,2,8,4,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[4,7,8,5,1,6,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,5,2,1,6,7,8,3]=>[8,4,3,2,5,6,7,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,[.,[.,.]]],.],.],[.,.]]]
[3,5,6,7,4,1,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,5,1,4,2,8,7,6]=>[5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[3,5,1,4,2,6,8,7]=>[5,4,3,2,1,6,8,7]=>[4,5,6,7,8,3,1,2]=>[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]]
[3,5,1,4,2,6,7,8]=>[5,4,3,2,1,6,7,8]=>[4,5,6,7,8,3,2,1]=>[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]
[1,3,8,4,6,2,5,7]=>[1,6,8,4,7,2,5,3]=>[8,3,1,5,2,7,4,6]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[1,8,4,2,3,7,5,6]=>[1,8,5,4,3,7,6,2]=>[8,1,4,5,6,2,3,7]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[1,4,8,3,2,7,6,5]=>[1,5,8,4,2,7,6,3]=>[8,4,1,5,7,2,3,6]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]
[1,2,8,6,7,5,4,3]=>[1,2,8,7,6,5,4,3]=>[8,7,1,2,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[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]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[7,6,3,2,5,1,8,4]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,2,7,8,3,6,1,5]=>[7,5,8,6,2,4,1,3]=>[2,4,1,3,7,5,8,6]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[4,6,3,7,5,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,2,5,7,8,6,3,1]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,6,8,4,5,2,1,7]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,7,2,4,5,1,8,3]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,2,7,8,3,6,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,2,3,4,1,8,5,6]=>[8,5,3,4,2,7,6,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[2,4,7,8,1,3,6,5]=>[5,6,8,7,1,2,4,3]=>[4,3,1,2,8,7,5,6]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]
[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]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[8,7,2,5,1,4,3,6]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[8,4,1,3,2,7,6,5]=>[8,5,3,4,2,7,6,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[8,3,5,1,2,4,7,6]=>[8,5,6,4,2,3,7,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[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]=>[4,5,1,7,8,2,3,6]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[3,8,4,2,1,7,6,5]=>[5,8,4,3,1,7,6,2]=>[4,1,5,6,8,2,3,7]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[8,3,1,7,5,6,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,4,1,7,5,2,6,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,3,5,7,6,2,4,1]=>[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]=>[8,1,3,2,4,6,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[3,6,2,4,8,1,7,5]=>[6,8,3,4,7,1,5,2]=>[3,1,6,5,2,8,4,7]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[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]=>[8,1,6,3,2,5,4,7]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[4,5,3,1,8,2,6,7]=>[6,4,3,2,8,1,7,5]=>[3,5,6,7,1,8,2,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[5,1,7,8,3,6,2,4]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,2,8,4,1,3,5,6]=>[8,5,7,6,2,4,3,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[6,1,7,3,2,8,4,5]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[4,2,5,1,8,3,6,7]=>[6,4,3,2,8,1,7,5]=>[3,5,6,7,1,8,2,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[7,4,2,8,3,1,5,6]=>[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[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]=>[8,1,6,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[10,1,9,5,6,7,8,2,3,4]=>[10,2,9,8,7,6,5,4,3,1]=>[1,9,2,3,4,5,6,7,8,10]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,1,10,8,6,7,2,3,4,5]=>[10,2,9,8,7,6,5,4,3,1]=>[1,9,2,3,4,5,6,7,8,10]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[8,1,9,10,7,2,3,4,5,6]=>[10,2,9,8,7,6,5,4,3,1]=>[1,9,2,3,4,5,6,7,8,10]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,7,6,5,2,4,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[1,4,7,8,6,2,5,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,6,7,8,3,2,5,4]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,3,2,7,8,4,6,5]=>[1,3,2,8,7,6,5,4]=>[8,6,7,1,2,3,4,5]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]
[6,8,2,3,5,7,4,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[9,1,7,8,6,5,4,3,2]=>[9,2,8,7,6,5,4,3,1]=>[1,8,2,3,4,5,6,7,9]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]
[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]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[5,4,7,3,1,2,6,8]=>[6,5,7,4,2,1,3,8]=>[3,4,2,5,7,8,6,1]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[7,6,2,1,5,4,3,8]=>[7,6,4,3,5,2,1,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[3,1,2,6,5,7,8,4]=>[3,2,1,8,5,6,7,4]=>[6,7,8,1,4,3,2,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[7,3,2,6,1,4,8,5]=>[8,5,3,6,2,4,7,1]=>[1,4,6,3,7,5,2,8]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[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]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,2,5,1,3,6,8,7]=>[5,4,3,2,1,6,8,7]=>[4,5,6,7,8,3,1,2]=>[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]]
[4,2,6,1,7,3,5,8,9]=>[6,4,7,2,5,1,3,8,9]=>[4,6,3,8,5,9,7,2,1]=>[[[[.,[.,.]],[[.,.],[[.,.],.]]],.],.]
[4,2,5,1,3,8,9,6,7]=>[5,4,3,2,1,9,8,7,6]=>[5,6,7,8,9,1,2,3,4]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,.]]]]
[5,3,4,2,7,1,8,6]=>[6,4,3,2,8,1,7,5]=>[3,5,6,7,1,8,2,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[5,6,8,2,1,3,4,7]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[6,5,2,1,3,8,4,7]=>[7,5,4,3,2,8,1,6]=>[2,4,5,6,7,1,8,3]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[6,3,2,4,8,5,1,7]=>[7,6,3,4,8,2,1,5]=>[2,3,6,5,1,7,8,4]=>[[.,[.,[[.,.],.]]],[[.,[.,.]],.]]
[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]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[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]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[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]=>[3,7,6,1,4,8,2,5]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]
[1,8,5,4,7,2,3,6]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[2,6,7,1,3,4,8,5]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]
[3,1,4,5,8,6,2,7]=>[7,2,3,4,8,6,1,5]=>[2,7,6,5,1,3,8,4]=>[[.,[[[.,.],.],.]],[.,[[.,.],.]]]
[5,1,7,3,2,8,4,6]=>[7,2,8,5,4,6,1,3]=>[2,7,1,4,5,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[8,2,4,1,6,7,3,5]=>[8,4,7,2,6,5,3,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[8,7,1,2,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[7,6,3,4,2,1,8,5]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[2,4,6,1,7,3,8,5]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,5,6,2,7,1,8,3]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[4,5,6,2,1,7,3,8]=>[7,5,4,3,2,6,1,8]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[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]=>[2,3,6,5,4,7,8,1]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[2,5,1,8,3,7,4,6]=>[3,7,1,8,5,6,2,4]=>[6,2,8,1,4,3,7,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[5,7,2,1,3,8,4,6]=>[7,8,4,3,5,6,1,2]=>[2,1,5,6,4,3,8,7]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]
[3,7,5,4,1,6,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[3,4,5,6,7,8,9,1,2]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]
[9,8,7,6,5,4,3,2,1,11,10]=>[9,8,7,6,5,4,3,2,1,11,10]=>[3,4,5,6,7,8,9,10,11,1,2]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],[.,.]]
[8,7,6,5,4,3,1,2,10,9]=>[8,7,6,5,4,3,2,1,10,9]=>[3,4,5,6,7,8,9,10,1,2]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]]
[7,6,5,4,2,1,3,9,8]=>[7,6,5,4,3,2,1,9,8]=>[3,4,5,6,7,8,9,1,2]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]
[7,6,5,4,1,3,2,9,8]=>[7,6,5,4,3,2,1,9,8]=>[3,4,5,6,7,8,9,1,2]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]
[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]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[2,3,4,6,8,1,7,5]=>[6,2,3,8,7,1,5,4]=>[3,7,6,1,2,8,4,5]=>[[.,[[.,.],.]],[.,[[.,.],[.,.]]]]
[2,3,5,8,1,6,7,4]=>[5,2,8,7,1,6,4,3]=>[4,7,1,2,8,3,5,6]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[2,4,7,5,6,8,1,3]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[7,3,4,6,2,8,1,5]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,7,6,5,2,8,3,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,5,4,8,6,7,3,1]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,5,4,1,6,8,2,3]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[3,1,6,4,5,8,2,7]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[7,2,1,8,5,6,4,3]=>[8,3,2,7,6,5,4,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[3,6,5,1,4,8,2,7]=>[7,5,4,3,2,8,1,6]=>[2,4,5,6,7,1,8,3]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[6,3,5,4,8,1,2,7]=>[7,6,4,3,8,2,1,5]=>[2,3,5,6,1,7,8,4]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[2,5,1,4,6,3,8,7]=>[3,6,1,4,5,2,8,7]=>[6,3,8,5,4,7,1,2]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]
[3,1,5,6,4,2,8,7]=>[6,2,5,4,3,1,8,7]=>[3,7,4,5,6,8,1,2]=>[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]
[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]=>[7,8,4,1,6,3,2,5]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]
[5,3,7,6,4,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,7,6,4,2,8,1,5]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[8,6,1,4,3,7,2,5]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[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]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[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]=>[3,1,6,4,5,8,2,7]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[5,6,4,3,8,2,7,1]=>[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[1,6,4,3,8,2,7,5]=>[1,8,6,4,7,3,5,2]=>[8,1,3,5,2,6,4,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[6,7,4,1,3,2,5,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,8,1,4,3,2,5,6]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,1,8,4,5,3,6,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,3,1,8,6,5,7,2]=>[8,3,2,7,6,5,4,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[4,3,2,7,5,1,8,6]=>[6,3,2,8,5,1,7,4]=>[3,6,7,1,4,8,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[5,2,3,7,4,1,8,6]=>[6,5,3,8,2,1,7,4]=>[3,4,6,1,7,8,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[2,1,7,4,3,6,8,5]=>[2,1,8,5,4,6,7,3]=>[7,8,1,4,5,3,2,6]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[7,1,2,4,5,6,8,3]=>[8,2,3,6,5,4,7,1]=>[1,7,6,3,4,5,2,8]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[2,8,7,1,4,5,6,3]=>[4,8,7,1,6,5,3,2]=>[5,1,2,8,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[8,7,1,3,4,5,6,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,8,3,1,4,6,7,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[1,7,2,5,4,6,8,3]=>[1,8,3,6,5,4,7,2]=>[8,1,6,3,4,5,2,7]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[2,5,3,8,1,6,7,4]=>[5,8,3,7,1,6,4,2]=>[4,1,6,2,8,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,6,4,2,5,7,8,3]=>[1,8,5,4,3,6,7,2]=>[8,1,4,5,6,3,2,7]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[6,8,2,3,1,5,7,4]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,3,1,5,2,7,8,6]=>[5,3,2,4,1,8,7,6]=>[4,6,7,5,8,1,2,3]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]
[5,2,3,1,4,7,8,6]=>[5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[7,3,6,4,5,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,4,3,7,5,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,2,4,7,8,6,3,1]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,4,8,7,2,3,1,6]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[8,1,4,5,3,6,2,7]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[8,3,5,1,4,6,2,7]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[1,5,4,7,3,8,6,2]=>[1,8,5,7,3,6,4,2]=>[8,1,4,2,6,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[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]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[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]=>[8,1,6,3,4,5,2,7]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[7,4,2,6,1,5,8,3]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,4,1,6,2,5,7,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,3,4,5,1,6,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[3,2,4,1,5,6,7,8,9]=>[4,2,3,1,5,6,7,8,9]=>[6,8,7,9,5,4,3,2,1]=>[[[[[[.,[[.,.],[.,.]]],.],.],.],.],.]
[3,1,6,5,4,7,2,8]=>[7,2,5,4,3,6,1,8]=>[2,7,4,5,6,3,8,1]=>[[.,[[[.,.],[.,[.,.]]],[.,.]]],.]
[2,5,6,8,3,4,7,1]=>[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[4,1,3,6,5,2,7,8]=>[6,2,3,5,4,1,7,8]=>[3,7,6,4,5,8,2,1]=>[[[.,[[[.,.],.],[.,[.,.]]]],.],.]
[3,6,2,4,5,7,1,8]=>[7,5,3,4,2,6,1,8]=>[2,4,6,5,7,3,8,1]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[3,6,2,5,4,7,1,8]=>[7,5,3,4,2,6,1,8]=>[2,4,6,5,7,3,8,1]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[3,5,1,7,6,4,2,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[3,6,1,4,5,7,2,8]=>[7,5,3,4,2,6,1,8]=>[2,4,6,5,7,3,8,1]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[4,3,1,6,5,2,7,8]=>[6,3,2,5,4,1,7,8]=>[3,6,7,4,5,8,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[4,1,2,6,5,3,7,8]=>[6,2,3,5,4,1,7,8]=>[3,7,6,4,5,8,2,1]=>[[[.,[[[.,.],.],[.,[.,.]]]],.],.]
[4,6,1,3,5,2,7,8]=>[6,5,3,4,2,1,7,8]=>[3,4,6,5,7,8,2,1]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[3,6,4,2,5,7,1,8]=>[7,5,4,3,2,6,1,8]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[4,2,6,3,5,1,7,8]=>[6,4,5,2,3,1,7,8]=>[3,5,4,7,6,8,2,1]=>[[[.,[[.,.],[[.,.],[.,.]]]],.],.]
[3,4,7,6,5,1,2,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,5,2,7,1,3,6,8]=>[6,5,3,7,2,1,4,8]=>[3,4,6,2,7,8,5,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[4,6,1,2,5,3,7,8]=>[6,5,3,4,2,1,7,8]=>[3,4,6,5,7,8,2,1]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[2,6,5,1,4,8,7,3]=>[4,8,5,1,3,7,6,2]=>[5,1,4,8,6,2,3,7]=>[[.,.],[[.,[[.,.],.]],[.,[.,.]]]]
[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]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,8,1,3,5,7,4,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,2,7,1,6,4,8,3]=>[8,4,6,2,5,3,7,1]=>[1,5,3,7,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[4,5,2,6,1,3,7,8]=>[6,5,3,4,2,1,7,8]=>[3,4,6,5,7,8,2,1]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[5,1,3,6,7,4,2,8]=>[7,2,6,4,5,3,1,8]=>[2,7,3,5,4,6,8,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[4,2,8,3,6,7,5,1]=>[8,4,7,2,6,5,3,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[3,1,7,8,5,6,2,4]=>[7,2,8,6,5,4,1,3]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[3,7,1,8,5,2,4,6]=>[6,8,3,7,5,1,4,2]=>[3,1,6,2,4,8,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[4,2,8,6,7,1,3,5]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[6,1,2,4,7,3,5,8]=>[7,2,3,6,5,4,1,8]=>[2,7,6,3,4,5,8,1]=>[[.,[[[.,.],.],[.,[.,[.,.]]]]],.]
[5,3,1,6,4,7,2,8]=>[7,5,3,4,2,6,1,8]=>[2,4,6,5,7,3,8,1]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[1,2,4,5,8,7,3,6]=>[1,2,7,4,8,6,3,5]=>[8,7,2,5,1,3,6,4]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]
[1,3,4,7,5,8,6,2]=>[1,8,3,7,5,6,4,2]=>[8,1,6,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,5,2,3,7,8,6,4]=>[1,8,3,4,7,6,5,2]=>[8,1,6,5,2,3,4,7]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[4,2,8,1,6,5,7,3]=>[8,4,7,2,6,5,3,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[5,6,1,4,8,3,2,7]=>[7,6,3,4,8,2,1,5]=>[2,3,6,5,1,7,8,4]=>[[.,[.,[[.,.],.]]],[[.,[.,.]],.]]
[7,8,9,3,2,1,4,5,10,6]=>[10,8,7,6,5,4,3,2,9,1]=>[1,3,4,5,6,7,8,9,2,10]=>[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]]
[5,4,3,7,2,9,1,10,8,6]=>[7,5,3,10,2,9,1,8,6,4]=>[4,6,8,1,9,2,10,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],[.,[.,.]]]]]
[2,4,1,3,7,8,6,5]=>[3,4,1,2,8,7,6,5]=>[6,5,8,7,1,2,3,4]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]
[2,6,1,5,7,8,4,3]=>[3,8,1,7,5,6,4,2]=>[6,1,8,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[5,1,6,4,7,8,2,3]=>[8,2,7,4,5,6,3,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[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]=>[6,1,8,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[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]=>[3,4,6,1,7,8,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[1,4,7,5,8,3,6,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[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]=>[3,5,4,7,6,8,1,2]=>[[.,[[.,.],[[.,.],[.,.]]]],[.,.]]
[2,6,5,1,3,4,8,7]=>[4,6,5,1,3,2,8,7]=>[5,3,4,8,6,7,1,2]=>[[[.,.],[.,[[.,.],[.,.]]]],[.,.]]
[4,6,5,1,2,7,3,8]=>[7,5,4,3,2,6,1,8]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[5,6,4,1,2,7,3,8]=>[7,5,4,3,2,6,1,8]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[8,1,5,6,2,4,3,7]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,4,5,1,2,7,3,8]=>[7,5,4,3,2,6,1,8]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[5,4,6,1,3,2,7,8]=>[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[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]=>[8,7,1,2,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[6,1,4,8,2,7,5,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,2,3,7,1,8,4,6]=>[7,5,3,8,2,6,1,4]=>[2,4,6,1,7,3,8,5]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[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]=>[3,4,6,1,7,8,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[7,3,4,5,1,8,6,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[1,5,6,7,4,8,2,3]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[6,3,2,5,7,4,8,1]=>[8,6,3,4,5,2,7,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[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]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[2,6,7,8,3,1,4,5]=>[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,7,8,1,6,5,3,4]=>[4,8,7,1,6,5,3,2]=>[5,1,2,8,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[2,5,8,1,7,6,3,4]=>[4,8,7,1,6,5,3,2]=>[5,1,2,8,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[8,1,5,7,3,4,6,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[8,1,6,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[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]=>[8,1,6,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[2,5,1,8,4,7,6,3]=>[3,8,1,7,5,6,4,2]=>[6,1,8,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[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]=>[4,1,6,2,8,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[3,1,8,2,6,7,5,4]=>[4,2,8,1,7,6,5,3]=>[5,7,1,8,2,3,4,6]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[2,6,8,1,4,3,7,5]=>[4,8,7,1,6,5,3,2]=>[5,1,2,8,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[4,1,8,2,6,7,3,5]=>[7,2,8,4,6,5,1,3]=>[2,7,1,5,3,4,8,6]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[1,6,5,2,8,7,3,4]=>[1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[2,6,1,5,8,7,3,4]=>[3,8,1,7,6,5,4,2]=>[6,1,8,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[8,1,7,3,5,2,4,6]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,3,2,7,6,4,5]=>[8,2,4,3,7,6,5,1]=>[1,7,5,6,2,3,4,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,2,5,3,8,1,4,7]=>[7,6,4,3,8,2,1,5]=>[2,3,5,6,1,7,8,4]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[7,6,1,3,5,2,4,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[6,2,4,5,3,8,1,7]=>[7,5,4,3,2,8,1,6]=>[2,4,5,6,7,1,8,3]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[6,1,5,4,7,2,3,8]=>[7,2,6,4,5,3,1,8]=>[2,7,3,5,4,6,8,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[8,4,6,1,7,3,2,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[1,6,2,4,8,3,7,5]=>[1,8,3,6,7,4,5,2]=>[8,1,6,3,2,5,4,7]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[1,7,8,5,4,2,6,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,5,2,8,6,4,7,3]=>[1,8,3,7,6,5,4,2]=>[8,1,6,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,6,5,2,7,4,8,3]=>[1,8,6,4,5,3,7,2]=>[8,1,3,5,4,6,2,7]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,8,5,4,6,2,7,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[4,8,1,3,7,6,2,5]=>[7,8,3,4,6,5,1,2]=>[2,1,6,5,3,4,8,7]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]
[4,5,3,1,2,8,7,6]=>[5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[6,4,2,3,1,8,7,5]=>[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[6,5,2,1,3,8,7,4]=>[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[7,6,1,8,2,5,3,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,4,2,3,7,6,1,5]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[1,7,6,8,3,5,4,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,6,4,2,1,3,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,5,7,4,1,3,2,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,6,1,8,3,5,2,7]=>[7,6,3,8,5,2,1,4]=>[2,3,6,1,4,7,8,5]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[7,1,6,8,2,5,4,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,7,1,8,3,2,5,6]=>[6,8,3,7,5,1,4,2]=>[3,1,6,2,4,8,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,2,8,6,4,5,1,7]=>[7,2,8,6,5,4,1,3]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,1,2,6,8,7,5,4]=>[3,2,1,8,7,6,5,4]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[5,7,4,2,1,8,6,3]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[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]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[4,2,5,7,1,6,8,3]=>[8,5,3,6,2,4,7,1]=>[1,4,6,3,7,5,2,8]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[2,4,8,5,6,7,3,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,5,2,3,8,7,1,6]=>[7,4,3,2,8,6,1,5]=>[2,5,6,7,1,3,8,4]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]
[5,2,3,7,6,1,4,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[4,2,7,3,5,1,6,8]=>[6,4,7,2,5,1,3,8]=>[3,5,2,7,4,8,6,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[5,6,2,3,8,4,7,1]=>[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[5,7,2,3,4,1,6,8]=>[6,7,5,4,3,1,2,8]=>[3,2,4,5,6,8,7,1]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[6,2,7,3,5,1,4,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,2,6,3,5,1,4,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,5,2,3,8,4,7,1]=>[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[7,5,2,1,4,6,8,3]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[8,5,2,3,1,6,4,7]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,6,2,3,1,5,4,7]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[8,1,6,3,4,5,2,7]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[7,2,8,1,4,6,3,5]=>[8,4,7,2,6,5,3,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[2,7,8,1,5,6,3,4]=>[4,8,7,1,6,5,3,2]=>[5,1,2,8,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[6,8,2,3,1,5,4,7]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[5,8,2,3,1,6,4,7]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[5,7,2,1,4,6,8,3]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[4,2,7,1,5,6,8,3]=>[8,4,6,2,5,3,7,1]=>[1,5,3,7,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[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]=>[4,6,7,5,8,2,3,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[5,1,3,8,4,6,7,2]=>[8,2,5,7,3,6,4,1]=>[1,7,4,2,6,3,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[5,1,3,2,6,7,8,4]=>[8,2,4,3,5,6,7,1]=>[1,7,5,6,4,3,2,8]=>[.,[[[[[.,.],[.,.]],.],.],[.,.]]]
[5,1,3,4,2,7,6,8]=>[5,2,4,3,1,7,6,8]=>[4,7,5,6,8,2,3,1]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[6,1,3,4,2,7,5,8]=>[7,2,5,4,3,6,1,8]=>[2,7,4,5,6,3,8,1]=>[[.,[[[.,.],[.,[.,.]]],[.,.]]],.]
[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]=>[10,1,2,3,4,5,6,7,8,9]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[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]=>[4,1,6,2,8,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[5,2,3,7,4,6,1,8]=>[7,5,3,6,2,4,1,8]=>[2,4,6,3,7,5,8,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[2,5,3,7,4,6,1,8]=>[7,5,3,6,2,4,1,8]=>[2,4,6,3,7,5,8,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[2,6,7,3,4,5,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,2,7,3,4,5,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[3,8,4,5,2,1,6,7]=>[6,8,5,4,3,1,7,2]=>[3,1,4,5,6,8,2,7]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[2,7,6,3,4,5,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[2,8,7,5,1,3,4,6]=>[5,8,7,6,1,4,3,2]=>[4,1,2,3,8,5,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[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]=>[1,6,7,5,4,3,2,8]=>[.,[[[[[.,[.,.]],.],.],.],[.,.]]]
[1,6,5,7,2,8,3,4]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[7,5,2,6,1,8,4,3]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,1,5,2,7,8,4,3]=>[8,2,7,4,5,6,3,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[1,6,5,7,2,8,4,3]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,5,4,6,2,8,7,3]=>[1,8,5,4,3,7,6,2]=>[8,1,4,5,6,2,3,7]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[1,5,6,4,8,2,3,7]=>[1,7,6,4,8,3,2,5]=>[8,2,3,5,1,6,7,4]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]
[6,2,1,5,8,4,7,3]=>[8,3,2,6,7,4,5,1]=>[1,6,7,3,2,5,4,8]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,3,2,6,4,5,1,7]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,2,3,5,8,1,4]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,4,2,8,1,6,7,5]=>[5,3,2,8,1,7,6,4]=>[4,6,7,1,8,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[5,2,6,1,4,3,7,8]=>[6,4,5,2,3,1,7,8]=>[3,5,4,7,6,8,2,1]=>[[[.,[[.,.],[[.,.],[.,.]]]],.],.]
[3,5,2,8,6,7,4,1]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,1,6,3,5,7,2,8]=>[7,2,5,4,3,6,1,8]=>[2,7,4,5,6,3,8,1]=>[[.,[[[.,.],[.,[.,.]]],[.,.]]],.]
[7,2,5,8,6,1,4,3]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[3,5,4,1,2,6,7,8]=>[5,4,3,2,1,6,7,8]=>[4,5,6,7,8,3,2,1]=>[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]
[5,3,1,4,6,7,8,2]=>[8,4,3,2,5,6,7,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,[.,[.,.]]],.],.],[.,.]]]
[4,6,7,1,3,5,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,6,1,3,4,7,2,8]=>[7,5,3,4,2,6,1,8]=>[2,4,6,5,7,3,8,1]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[3,6,2,4,1,7,5,8]=>[5,7,3,4,1,6,2,8]=>[4,2,6,5,8,3,7,1]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[3,2,6,7,4,8,5,1]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[7,1,3,8,4,5,2,6]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,1,8,3,4,6,2,5]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,2,6,1,5,7,3,8]=>[7,4,5,2,3,6,1,8]=>[2,5,4,7,6,3,8,1]=>[[.,[[[.,.],[[.,.],.]],[.,.]]],.]
[5,4,1,2,6,7,3,8]=>[7,4,3,2,5,6,1,8]=>[2,5,6,7,4,3,8,1]=>[[.,[[[.,[.,[.,.]]],.],[.,.]]],.]
[6,5,2,7,4,1,3,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,5,7,3,1,4,2,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,7,4,3,1,5,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,1,6,7,8,4,5,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,4,5,6,2,1,8,3]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,4,5,2,7,1,8,3]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[3,7,5,6,2,1,8,4]=>[6,8,5,4,3,1,7,2]=>[3,1,4,5,6,8,2,7]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[1,7,6,3,8,4,5,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[3,4,6,5,7,8,2,1]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[5,1,8,3,4,6,2,7]=>[7,2,8,5,4,6,1,3]=>[2,7,1,4,5,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[4,5,8,2,3,7,1,6]=>[7,5,8,4,2,6,1,3]=>[2,4,1,5,7,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[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]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[4,7,2,5,1,6,8,3]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,5,4,7,2,8,3,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,2,4,6,5,8,1,7]=>[7,2,3,5,4,8,1,6]=>[2,7,6,4,5,1,8,3]=>[[.,[[[.,.],.],[.,.]]],[[.,.],.]]
[7,5,2,1,6,3,4,8]=>[7,6,4,3,5,2,1,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[6,3,1,7,4,2,5,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[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]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,7,2,6,3,8,4,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,4,1,2,3,6,7,5]=>[8,5,3,4,2,7,6,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[5,6,4,2,1,8,3,7]=>[7,5,4,3,2,8,1,6]=>[2,4,5,6,7,1,8,3]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[5,7,3,6,4,1,2,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,2,4,3,8,1,5,6]=>[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[2,5,4,6,1,3,8,7]=>[5,6,3,4,1,2,8,7]=>[4,3,6,5,8,7,1,2]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]
[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]=>[3,2,5,6,1,8,7,4]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]
[6,1,2,4,3,5,7,8]=>[6,2,3,5,4,1,7,8]=>[3,7,6,4,5,8,2,1]=>[[[.,[[[.,.],.],[.,[.,.]]]],.],.]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,7,6,5,3,8,2,4]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[4,6,1,3,7,8,5,2]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[1,5,6,3,8,7,2,4]=>[1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[6,3,5,2,7,1,4,8]=>[7,6,4,3,5,2,1,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[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]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[6,4,5,3,1,8,7,2]=>[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[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]=>[5,1,2,8,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[3,7,6,2,4,8,5,1]=>[[[.,[[.,.],.]],[.,[[.,.],.]]],.]
[5,3,4,1,6,2,7,8]=>[6,4,3,2,5,1,7,8]=>[3,5,6,7,4,8,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[7,3,1,6,5,2,4,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[7,1,5,2,4,6,3,8]=>[7,2,6,4,5,3,1,8]=>[2,7,3,5,4,6,8,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[6,1,4,5,2,7,3,8]=>[7,2,5,4,3,6,1,8]=>[2,7,4,5,6,3,8,1]=>[[.,[[[.,.],[.,[.,.]]],[.,.]]],.]
[6,1,5,8,2,7,4,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,1,2,3,6,4,5,8]=>[7,2,3,4,6,5,1,8]=>[2,7,6,5,3,4,8,1]=>[[.,[[[[.,.],.],.],[.,[.,.]]]],.]
[6,1,3,8,7,4,5,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,8,4,6,5,1,7,3]=>[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[7,4,1,3,6,5,2,8]=>[7,6,3,4,5,2,1,8]=>[2,3,6,5,4,7,8,1]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[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]=>[2,3,6,5,4,7,8,1]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[2,7,8,4,1,3,6,5]=>[5,8,7,6,1,4,3,2]=>[4,1,2,3,8,5,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[2,4,6,5,7,8,1,3]=>[7,8,4,3,5,6,1,2]=>[2,1,5,6,4,3,8,7]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]
[2,4,6,7,5,8,1,3]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[2,4,6,3,7,8,1,5]=>[7,4,8,2,5,6,1,3]=>[2,5,1,7,4,3,8,6]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[2,4,5,6,8,7,1,3]=>[7,8,3,4,6,5,1,2]=>[2,1,6,5,3,4,8,7]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]
[2,4,5,6,8,3,7,1]=>[8,6,3,4,7,2,5,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[2,3,4,6,8,5,1,7]=>[7,2,3,6,8,4,1,5]=>[2,7,6,3,1,5,8,4]=>[[.,[[[.,.],.],.]],[[.,[.,.]],.]]
[5,2,8,3,4,1,6,7]=>[6,5,8,4,2,1,7,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[4,1,7,3,8,6,2,5]=>[7,2,8,4,6,5,1,3]=>[2,7,1,5,3,4,8,6]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[8,4,1,2,5,3,7,6]=>[8,6,3,4,5,2,7,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[1,5,2,7,6,8,4,3]=>[1,8,3,7,5,6,4,2]=>[8,1,6,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,6,4,8,5,7,3,1]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[3,4,8,5,2,1,7,6]=>[6,5,8,4,2,1,7,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[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]=>[2,6,7,1,3,4,8,5]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]
[2,8,7,5,4,1,6,3]=>[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[8,1,5,7,4,2,6,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[4,2,6,5,8,1,7,3]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]
[2,6,5,8,3,1,4,7]=>[6,7,5,8,3,1,2,4]=>[3,2,4,1,6,8,7,5]=>[[[.,.],[.,.]],[[.,[[.,.],.]],.]]
[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]=>[2,7,1,5,4,3,8,6]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[6,1,8,2,4,5,3,7]=>[7,2,8,4,6,5,1,3]=>[2,7,1,5,3,4,8,6]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[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]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[8,5,4,1,2,3,7,6]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[4,7,1,5,8,2,3,6]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[4,6,1,3,2,7,8,5]=>[5,8,3,4,1,6,7,2]=>[4,1,6,5,8,3,2,7]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,4,6,7,1,5,8,2]=>[8,5,6,4,2,3,7,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[1,8,7,4,3,5,2,6]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,4,5,8,1,3,7,6]=>[5,6,3,8,1,2,7,4]=>[4,3,6,1,8,7,2,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[2,7,8,6,5,3,1,4]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[6,3,1,5,8,4,2,7]=>[7,6,3,4,8,2,1,5]=>[2,3,6,5,1,7,8,4]=>[[.,[.,[[.,.],.]]],[[.,[.,.]],.]]
[2,8,3,5,6,1,4,7]=>[6,8,3,7,5,1,4,2]=>[3,1,6,2,4,8,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[1,3,6,4,2,7,5,8]=>[1,5,7,4,2,6,3,8]=>[8,4,2,5,7,3,6,1]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]
[2,3,7,5,8,1,4,6]=>[6,2,8,7,5,1,4,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[3,2,8,5,6,1,4,7]=>[6,2,8,7,5,1,4,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[7,2,5,8,1,4,6,3]=>[8,5,7,6,2,4,3,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[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]=>[2,4,1,5,7,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[4,3,2,5,7,8,1,6]=>[7,3,2,4,8,6,1,5]=>[2,6,7,5,1,3,8,4]=>[[.,[[.,[.,.]],.]],[.,[[.,.],.]]]
[2,5,4,7,3,8,1,6]=>[7,5,3,8,2,6,1,4]=>[2,4,6,1,7,3,8,5]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[3,7,8,4,2,1,6,5]=>[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[4,5,6,7,9,1,2,3,8]=>[8,7,6,4,9,3,2,1,5]=>[2,3,4,6,1,7,8,9,5]=>[[.,[.,[.,[.,.]]]],[[.,[.,[.,.]]],.]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,2,4,5,8,1,6,7]=>[6,2,3,4,8,1,7,5]=>[3,7,6,5,1,8,2,4]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]
[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]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[1,3,6,8,2,4,7,5]=>[1,5,8,7,2,6,4,3]=>[8,4,1,2,7,3,5,6]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[1,6,7,4,3,8,2,5]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[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]=>[7,8,6,1,2,3,4,5]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]
[8,1,7,3,6,5,2,4]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,6,4,7,3,8,5,2]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[4,5,6,7,8,1,2,3,9]=>[8,7,6,4,5,3,2,1,9]=>[2,3,4,6,5,7,8,9,1]=>[[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]],.]
[4,8,1,6,3,7,2,5]=>[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[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]=>[8,1,2,5,4,3,6,7]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[5,7,3,2,4,8,6,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,6,8,5,4,3,1,7]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[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]=>[2,1,6,5,3,4,8,7]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]
[2,7,5,4,1,8,3,6]=>[5,8,7,4,1,6,3,2]=>[4,1,2,5,8,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[4,6,1,8,5,3,2,7]=>[7,6,3,8,5,2,1,4]=>[2,3,6,1,4,7,8,5]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[3,8,5,2,1,6,4,7]=>[5,8,7,4,1,6,3,2]=>[4,1,2,5,8,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[5,1,4,8,2,6,3,7]=>[7,2,5,8,3,6,1,4]=>[2,7,4,1,6,3,8,5]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,5,2,6,3,4,7,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,8,6,1,2,5,7,4]=>[5,8,7,4,1,6,3,2]=>[4,1,2,5,8,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[3,7,6,2,1,8,5,4]=>[5,8,7,4,1,6,3,2]=>[4,1,2,5,8,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,7,2,5,4,8,1,3]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,5,6,2,8,1,4,7]=>[6,7,4,3,8,1,2,5]=>[3,2,5,6,1,8,7,4]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]
[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]=>[1,3,4,5,6,7,8,9,2,10]=>[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]]
[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]=>[1,3,4,5,6,7,8,9,2,10]=>[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]]
[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]=>[4,7,6,5,8,2,3,1]=>[[[.,[[[.,.],.],[.,.]]],[.,.]],.]
[6,1,8,2,4,3,5,7]=>[7,2,8,4,6,5,1,3]=>[2,7,1,5,3,4,8,6]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[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]=>[2,4,5,6,7,1,8,3]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[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]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[8,7,1,4,5,6,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,1,3,8,5,6,2,7]=>[7,2,3,8,5,6,1,4]=>[2,7,6,1,4,3,8,5]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[1,7,8,6,3,2,5,4]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,7,2,4,5,6,1,8]=>[7,6,3,4,5,2,1,8]=>[2,3,6,5,4,7,8,1]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[3,2,8,1,5,7,4,6]=>[4,2,8,1,7,6,5,3]=>[5,7,1,8,2,3,4,6]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[3,4,6,7,2,1,5,8]=>[6,5,7,4,2,1,3,8]=>[3,4,2,5,7,8,6,1]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[5,7,6,2,1,8,3,4]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,2,5,1,6,3,8,4]=>[8,4,6,2,5,3,7,1]=>[1,5,3,7,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[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]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,5,3,8,7,4,6,2]=>[1,8,6,7,5,3,4,2]=>[8,1,3,2,4,6,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[5,1,3,8,7,4,6,2]=>[8,2,6,7,5,3,4,1]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[2,5,3,8,7,4,1,6]=>[7,6,3,8,5,2,1,4]=>[2,3,6,1,4,7,8,5]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[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]=>[2,4,6,1,7,3,8,5]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[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]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[4,6,8,3,2,1,7,5]=>[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[4,6,8,3,5,1,2,7]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[1,4,6,3,7,5,2,8]=>[1,7,6,4,5,3,2,8]=>[8,2,3,5,4,6,7,1]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[1,7,6,3,8,5,2,4]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,3,8,7,4,5,6,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,1,8,4,5,6,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,2,8,7,4,5,6,1]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,2,4,3,7,5,8,1]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[1,3,2,8,7,4,6,5]=>[1,3,2,8,7,6,5,4]=>[8,6,7,1,2,3,4,5]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]
[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]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[8,3,5,4,7,1,2,6]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,5,1,6,3,2,4,7]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[6,4,5,1,3,8,7,2]=>[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[6,1,3,5,4,8,2,7]=>[7,2,5,4,3,8,1,6]=>[2,7,4,5,6,1,8,3]=>[[.,[[.,.],[.,[.,.]]]],[[.,.],.]]
[1,3,8,7,2,5,6,4]=>[1,5,8,7,2,6,4,3]=>[8,4,1,2,7,3,5,6]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[2,5,4,1,8,3,7,6]=>[4,6,3,1,8,2,7,5]=>[5,3,6,8,1,7,2,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[5,1,4,8,3,7,6,2]=>[8,2,5,7,3,6,4,1]=>[1,7,4,2,6,3,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,5,3,1,2,4,8,7,9]=>[6,5,4,3,2,1,8,7,9]=>[4,5,6,7,8,9,2,3,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]],.]
[8,7,5,3,1,2,4,6,9]=>[8,7,6,5,4,3,2,1,9]=>[2,3,4,5,6,7,8,9,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[7,5,3,1,2,4,6,9,8]=>[7,6,5,4,3,2,1,9,8]=>[3,4,5,6,7,8,9,1,2]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]
[8,7,5,3,1,2,4,6,10,9]=>[8,7,6,5,4,3,2,1,10,9]=>[3,4,5,6,7,8,9,10,1,2]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]]
[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]=>[4,5,6,7,8,3,1,2]=>[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]]
[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]=>[3,4,5,6,7,8,9,2,1]=>[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.]
[3,1,2,8,7,5,4,6]=>[3,2,1,8,7,6,5,4]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[5,3,1,2,4,9,7,6,8]=>[5,4,3,2,1,9,8,7,6]=>[5,6,7,8,9,1,2,3,4]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,.]]]]
[7,5,3,1,2,4,6,9,8,10]=>[7,6,5,4,3,2,1,9,8,10]=>[4,5,6,7,8,9,10,2,3,1]=>[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]],.]
[1,4,3,8,5,7,2,6]=>[1,7,3,8,5,6,2,4]=>[8,2,6,1,4,3,7,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[4,8,1,3,6,2,7,5]=>[6,8,3,4,7,1,5,2]=>[3,1,6,5,2,8,4,7]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[1,8,2,4,7,3,6,5]=>[1,8,3,6,7,4,5,2]=>[8,1,6,3,2,5,4,7]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[2,7,1,6,5,8,3,4]=>[3,8,1,7,5,6,4,2]=>[6,1,8,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,3,7,1,2,8,5,6]=>[5,4,8,2,1,7,6,3]=>[4,5,1,7,8,2,3,6]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[2,7,6,4,3,8,5,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[1,8,4,2,5,7,3,6]=>[1,8,7,4,5,6,3,2]=>[8,1,2,5,4,3,6,7]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[5,8,3,1,2,4,6,7]=>[6,8,5,4,3,1,7,2]=>[3,1,4,5,6,8,2,7]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[1,4,8,5,2,3,6,7]=>[1,6,8,5,4,2,7,3]=>[8,3,1,4,5,7,2,6]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]
[1,4,8,5,2,3,7,6]=>[1,6,8,5,4,2,7,3]=>[8,3,1,4,5,7,2,6]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]
[7,1,4,2,6,8,3,5]=>[8,2,7,4,5,6,3,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[1,5,8,7,2,4,3,6]=>[1,7,8,6,5,4,2,3]=>[8,2,1,3,4,5,7,6]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[1,5,4,2,8,3,7,6]=>[1,6,4,3,8,2,7,5]=>[8,3,5,6,1,7,2,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[1,2,8,7,3,5,4,6]=>[1,2,8,7,5,6,4,3]=>[8,7,1,2,4,3,5,6]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[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]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[4,7,5,6,2,8,3,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,1,7,3,5,8,2,4]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[2,6,4,8,7,3,1,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[6,1,5,8,7,4,3,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,1,8,5,7,4,3,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,5,1,4,7,6,3,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,1,3,7,2,4,6,5]=>[8,2,5,7,3,6,4,1]=>[1,7,4,2,6,3,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[2,6,7,3,5,8,4,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,6,7,3,5,8,1,4]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[2,5,6,7,1,4,8,3]=>[5,8,6,4,1,3,7,2]=>[4,1,3,5,8,6,2,7]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]
[4,7,5,3,2,8,1,6]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[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]=>[2,1,6,5,3,4,8,7]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]
[6,3,1,8,2,4,5,7]=>[7,5,3,8,2,6,1,4]=>[2,4,6,1,7,3,8,5]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[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]=>[2,3,6,1,4,7,8,5]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[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]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,1,8,9,10,2,3,4,5,6]=>[10,2,9,8,7,6,5,4,3,1]=>[1,9,2,3,4,5,6,7,8,10]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[1,8,9,10,11,12,2,3,4,5,6,7]=>[1,12,11,10,9,8,7,6,5,4,3,2]=>[12,1,2,3,4,5,6,7,8,9,10,11]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]
[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]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[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]=>[6,2,8,1,3,4,7,5]=>[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]
[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]=>[9,3,4,5,6,7,8,1,2]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[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]=>[8,2,1,5,4,3,7,6]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]
[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]=>[2,5,1,7,4,3,8,6]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[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]=>[4,1,2,5,8,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,2,6,7,4,5,8,3]=>[1,2,8,6,5,4,7,3]=>[8,7,1,3,4,5,2,6]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]
[6,5,2,8,7,1,4,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,6,1,3,8,5,4,7]=>[3,7,1,4,8,6,2,5]=>[6,2,8,5,1,3,7,4]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]
[6,4,1,8,3,2,5,7]=>[7,6,3,8,5,2,1,4]=>[2,3,6,1,4,7,8,5]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[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]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[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]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[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]=>[4,1,2,3,8,5,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[1,6,5,3,8,2,4,7]=>[1,7,6,4,8,3,2,5]=>[8,2,3,5,1,6,7,4]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]
[8,7,4,5,1,3,2,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,1,8,7,2,5,3,6]=>[7,2,8,6,5,4,1,3]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[2,6,3,8,4,1,7,5]=>[6,8,3,7,5,1,4,2]=>[3,1,6,2,4,8,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[3,2,4,6,1,8,7,5]=>[5,2,3,8,1,7,6,4]=>[4,7,6,1,8,2,3,5]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]
[3,6,7,4,1,2,5,8]=>[6,7,5,4,3,1,2,8]=>[3,2,4,5,6,8,7,1]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[1,4,7,5,8,2,3,6]=>[1,7,8,6,5,4,2,3]=>[8,2,1,3,4,5,7,6]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[1,6,8,4,7,3,2,5]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,6,7,5,4,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,5,7,2,6,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[2,1,5,7,4,6,8,3]=>[2,1,8,6,5,4,7,3]=>[7,8,1,3,4,5,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[2,3,5,7,8,1,6,4]=>[6,2,8,7,5,1,4,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[2,4,7,5,3,6,8,1]=>[8,5,6,4,2,3,7,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[8,1,7,2,4,6,3,5]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[1,2,4,7,8,6,3,5]=>[1,2,7,8,6,5,3,4]=>[8,7,2,1,3,4,6,5]=>[[[[.,.],.],.],[.,[.,[[.,.],.]]]]
[2,4,7,8,3,5,1,6]=>[7,5,8,6,2,4,1,3]=>[2,4,1,3,7,5,8,6]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[1,3,6,2,5,8,4,7]=>[1,4,7,2,5,8,3,6]=>[8,5,2,7,4,1,6,3]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]
[1,5,3,6,8,2,4,7]=>[1,7,6,4,8,3,2,5]=>[8,2,3,5,1,6,7,4]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]
[4,8,1,2,6,3,7,5]=>[6,8,3,4,7,1,5,2]=>[3,1,6,5,2,8,4,7]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[4,1,2,6,5,7,8,3]=>[8,2,3,5,4,6,7,1]=>[1,7,6,4,5,3,2,8]=>[.,[[[[[.,.],.],[.,.]],.],[.,.]]]
[1,8,4,2,7,3,6,5]=>[1,8,6,4,7,3,5,2]=>[8,1,3,5,2,6,4,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[1,7,5,2,3,8,6,4]=>[1,8,7,4,5,6,3,2]=>[8,1,2,5,4,3,6,7]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[8,1,4,7,3,5,2,6]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[6,1,8,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[8,4,2,1,3,7,5,6]=>[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[2,5,1,7,6,8,3,4]=>[3,8,1,7,5,6,4,2]=>[6,1,8,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[5,3,1,8,2,4,7,6]=>[6,5,3,8,2,1,7,4]=>[3,4,6,1,7,8,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[3,1,5,4,6,7,8,2]=>[8,2,4,3,5,6,7,1]=>[1,7,5,6,4,3,2,8]=>[.,[[[[[.,.],[.,.]],.],.],[.,.]]]
[2,8,5,7,3,1,4,6]=>[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[2,6,8,7,3,1,4,5]=>[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[7,4,2,1,3,8,5,6]=>[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[1,4,2,7,6,5,8,3]=>[1,8,3,6,5,4,7,2]=>[8,1,6,3,4,5,2,7]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[3,4,1,6,5,7,8,2]=>[8,3,2,5,4,6,7,1]=>[1,6,7,4,5,3,2,8]=>[.,[[[[.,[.,.]],[.,.]],.],[.,.]]]
[5,7,6,2,3,8,1,4]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,5,7,6,2,8,1,3]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,1,8,7,5,2,6,4]=>[6,2,8,7,5,1,4,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[4,5,6,8,7,2,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,8,3,1,5,4,7,6]=>[4,8,3,1,6,5,7,2]=>[5,1,6,8,3,4,2,7]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]
[5,1,7,8,3,2,6,4]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,8,6,2,4,3,7,5]=>[1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[4,8,3,1,6,2,7,5]=>[6,8,4,3,7,1,5,2]=>[3,1,5,6,2,8,4,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[6,2,7,1,5,8,4,3]=>[8,4,7,2,5,6,3,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[1,7,8,9,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[9,1,2,3,4,5,6,7,8]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,6,7,8,9,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[9,1,2,3,4,5,6,7,8]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,5,6,7,8,9,4,3,2]=>[1,9,8,7,5,6,4,3,2]=>[9,1,2,3,5,4,6,7,8]=>[[.,.],[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,8,9,10,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[10,1,2,3,4,5,6,7,8,9]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[1,7,6,8,9,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[9,1,2,3,4,5,6,7,8]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,7,8,9,10,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[10,1,2,3,4,5,6,7,8,9]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[1,6,5,7,8,9,4,3,2]=>[1,9,8,7,5,6,4,3,2]=>[9,1,2,3,5,4,6,7,8]=>[[.,.],[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,6,7,8,9,10,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[10,1,2,3,4,5,6,7,8,9]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[4,8,5,1,3,2,6,7]=>[6,8,5,4,3,1,7,2]=>[3,1,4,5,6,8,2,7]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[5,4,3,1,2,7,6,8]=>[5,4,3,2,1,7,6,8]=>[4,5,6,7,8,2,3,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[7,1,5,2,3,6,4,8]=>[7,2,6,4,5,3,1,8]=>[2,7,3,5,4,6,8,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[4,1,6,3,7,2,5,8]=>[6,2,7,4,5,1,3,8]=>[3,7,2,5,4,8,6,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[4,6,1,2,8,3,7,5]=>[6,8,3,4,7,1,5,2]=>[3,1,6,5,2,8,4,7]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[4,1,3,6,7,2,5,8]=>[6,2,3,7,5,1,4,8]=>[3,7,6,2,4,8,5,1]=>[[[.,[[.,.],.]],[.,[[.,.],.]]],.]
[2,6,7,4,3,1,5,8]=>[6,7,5,4,3,1,2,8]=>[3,2,4,5,6,8,7,1]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[2,6,3,1,7,4,5,8]=>[4,7,3,1,6,5,2,8]=>[5,2,6,8,3,4,7,1]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[6,5,3,7,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[2,3,6,7,1,5,4,8]=>[5,2,7,6,1,4,3,8]=>[4,7,2,3,8,5,6,1]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[2,7,5,8,1,3,6,4]=>[5,8,7,6,1,4,3,2]=>[4,1,2,3,8,5,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[5,6,1,4,7,2,3,8]=>[7,6,3,4,5,2,1,8]=>[2,3,6,5,4,7,8,1]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[1,2,5,7,8,6,3,4]=>[1,2,8,7,6,5,4,3]=>[8,7,1,2,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,2,6,7,4,5,3,8]=>[1,2,7,6,5,4,3,8]=>[8,7,2,3,4,5,6,1]=>[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]
[1,2,7,8,4,6,3,5]=>[1,2,8,7,6,5,4,3]=>[8,7,1,2,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[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]=>[1,3,6,5,2,7,4,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[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]=>[1,3,6,5,4,7,2,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[5,2,7,4,6,1,8,3]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,4,8,6,3,2,1,7]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[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]=>[2,7,6,3,1,5,8,4]=>[[.,[[[.,.],.],.]],[[.,[.,.]],.]]
[6,3,5,7,1,2,8,4]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[8,2,1,3,4,5,7,6]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[1,8,7,5,3,4,2,6]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,7,8,5,3,4,2,6]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,7,6,8,4,2,3,5]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,7,8,6,4,3,2,5]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[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]=>[6,1,8,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[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]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[1,3,5,8,4,6,7,2]=>[1,8,5,7,3,6,4,2]=>[8,1,4,2,6,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[3,4,5,8,2,1,6,7]=>[6,5,3,8,2,1,7,4]=>[3,4,6,1,7,8,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[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]=>[1,5,2,7,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[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]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[7,5,1,2,4,3,8,6]=>[8,6,3,4,5,2,7,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[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]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[2,1,7,6,3,4,5,8]=>[2,1,7,6,5,4,3,8]=>[7,8,2,3,4,5,6,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[6,3,5,2,1,8,4,7]=>[7,5,4,3,2,8,1,6]=>[2,4,5,6,7,1,8,3]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[2,3,6,8,5,1,7,4]=>[6,2,8,7,5,1,4,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[3,2,4,8,6,1,7,5]=>[6,2,3,8,7,1,5,4]=>[3,7,6,1,2,8,4,5]=>[[.,[[.,.],.]],[.,[[.,.],[.,.]]]]
[2,1,3,8,4,5,7,6]=>[2,1,3,8,5,6,7,4]=>[7,8,6,1,4,3,2,5]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]
[3,1,2,8,5,4,7,6]=>[3,2,1,8,6,5,7,4]=>[6,7,8,1,3,4,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[2,1,3,7,8,4,6,5]=>[2,1,3,8,7,6,5,4]=>[7,8,6,1,2,3,4,5]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]
[2,1,3,8,4,7,6,5]=>[2,1,3,8,5,7,6,4]=>[7,8,6,1,4,2,3,5]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]
[3,1,2,8,4,5,7,6]=>[3,2,1,8,5,6,7,4]=>[6,7,8,1,4,3,2,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[1,2,8,7,5,4,6,3]=>[1,2,8,7,6,5,4,3]=>[8,7,1,2,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[4,6,7,2,3,8,1,5]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[3,2,6,5,7,8,1,4]=>[7,2,8,4,5,6,1,3]=>[2,7,1,5,4,3,8,6]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[3,2,7,5,6,8,1,4]=>[7,2,8,5,4,6,1,3]=>[2,7,1,4,5,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[2,1,8,7,4,6,5,3]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[6,1,5,8,4,7,3,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,4,6,8,5,7,2,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,8,5,1,6,4,3,7]=>[4,8,7,1,6,5,3,2]=>[5,1,2,8,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[2,4,7,1,8,3,6,5]=>[4,6,8,1,7,2,5,3]=>[5,3,1,8,2,7,4,6]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[6,1,5,4,2,3,8,7]=>[6,2,5,4,3,1,8,7]=>[3,7,4,5,6,8,1,2]=>[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]
[6,4,5,1,2,8,3,7]=>[7,5,4,3,2,8,1,6]=>[2,4,5,6,7,1,8,3]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[8,4,1,5,7,6,3,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,1,6,3,5,2,4,7]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,6,2,5,3,8,1,7]=>[7,5,4,3,2,8,1,6]=>[2,4,5,6,7,1,8,3]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[4,6,5,2,1,8,3,7]=>[7,5,4,3,2,8,1,6]=>[2,4,5,6,7,1,8,3]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,2,6,5,1,8,4,7]=>[5,2,7,4,1,8,3,6]=>[4,7,2,5,8,1,6,3]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,7,5,6,4,2,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,6,1,5,3,7,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,6,3,7,8,1,4,5]=>[6,8,3,7,5,1,4,2]=>[3,1,6,2,4,8,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,1,3,2,4,6,8,7]=>[5,2,4,3,1,6,8,7]=>[4,7,5,6,8,3,1,2]=>[[[.,[[.,.],[.,[.,.]]]],.],[.,.]]
[8,4,2,5,1,7,3,6]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,4,2,5,7,3,8,1]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[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]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[6,5,2,4,3,8,7,1]=>[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[6,5,3,4,1,8,2,7]=>[7,5,4,3,2,8,1,6]=>[2,4,5,6,7,1,8,3]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[6,4,5,3,8,1,2,7]=>[7,6,4,3,8,2,1,5]=>[2,3,5,6,1,7,8,4]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[5,6,4,8,3,1,2,7]=>[7,6,5,8,3,2,1,4]=>[2,3,4,1,6,7,8,5]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[7,2,4,6,3,8,5,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,8,3,7,6,1,5,4]=>[6,8,3,7,5,1,4,2]=>[3,1,6,2,4,8,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[3,7,2,5,8,6,4,1]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,6,5,3,8,1,7,2]=>[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[2,4,8,7,6,1,5,3]=>[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[3,2,8,7,4,6,5,1]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,2,6,5,1,4,3,7]=>[8,5,7,6,2,4,3,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[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]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[3,8,4,7,2,1,6,5]=>[6,8,5,7,3,1,4,2]=>[3,1,4,2,6,8,5,7]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,4,6,2,5,7,1,8]=>[7,4,5,2,3,6,1,8]=>[2,5,4,7,6,3,8,1]=>[[.,[[[.,.],[[.,.],.]],[.,.]]],.]
[1,7,5,2,6,8,3,4]=>[1,8,7,4,5,6,3,2]=>[8,1,2,5,4,3,6,7]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[5,1,7,2,4,6,3,8]=>[7,2,6,4,5,3,1,8]=>[2,7,3,5,4,6,8,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[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]=>[1,5,2,7,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[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]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[6,2,1,8,7,3,5,4]=>[8,3,2,7,6,5,4,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,3,4,7,8,2,6,5]=>[1,6,3,8,7,2,5,4]=>[8,3,6,1,2,7,4,5]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]
[1,2,5,8,4,3,6,7]=>[1,2,6,8,5,3,7,4]=>[8,7,3,1,4,6,2,5]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[3,5,6,7,2,4,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,5,7,4,2,6,8,1]=>[8,5,6,4,2,3,7,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[3,5,4,7,2,6,8,1]=>[8,5,3,6,2,4,7,1]=>[1,4,6,3,7,5,2,8]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[3,4,5,7,2,6,8,1]=>[8,5,3,6,2,4,7,1]=>[1,4,6,3,7,5,2,8]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[3,4,5,7,2,8,6,1]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[3,5,4,7,2,8,6,1]=>[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]=>[1,7,4,2,6,3,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[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]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[3,5,2,7,8,6,4,1]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,3,6,5,4,7,2,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[8,6,1,4,3,5,2,7]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,1,8,4,3,5,2,7]=>[7,2,8,6,5,4,1,3]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[8,1,4,2,5,3,6,7]=>[8,2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[8,4,1,3,5,2,6,7]=>[8,6,3,4,5,2,7,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[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]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,4,5,7,3,8,2,6]=>[1,7,5,8,3,6,2,4]=>[8,2,4,1,6,3,7,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[3,5,6,8,2,1,4,7]=>[6,7,5,8,3,1,2,4]=>[3,2,4,1,6,8,7,5]=>[[[.,.],[.,.]],[[.,[[.,.],.]],.]]
[8,2,5,4,1,3,7,6]=>[8,5,6,4,2,3,7,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[2,4,5,8,6,3,1,7]=>[7,6,3,8,5,2,1,4]=>[2,3,6,1,4,7,8,5]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[5,4,8,2,3,1,7,6]=>[6,5,8,4,2,1,7,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[1,7,3,6,5,8,2,4]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[2,5,7,8,6,1,4,3]=>[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,6,7,2,1,5,3,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,7,6,2,4,3,8,5]=>[1,8,6,4,5,3,7,2]=>[8,1,3,5,4,6,2,7]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[7,1,6,2,4,5,3,8]=>[7,2,6,4,5,3,1,8]=>[2,7,3,5,4,6,8,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[5,7,1,6,2,3,4,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[6,2,5,8,3,4,1,7]=>[7,6,5,8,3,2,1,4]=>[2,3,4,1,6,7,8,5]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[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]=>[8,3,5,6,1,7,2,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[2,1,3,6,5,8,4,7]=>[2,1,3,7,5,8,4,6]=>[7,8,6,2,4,1,5,3]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]
[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]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,5,2,8,4,3,7,1]=>[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[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]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[5,1,2,8,6,3,7,4]=>[8,2,3,7,6,5,4,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[4,1,8,2,6,5,7,3]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,1,4,7,8,5,3,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,1,5,7,8,4,2,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,3,6,5,4,7,2,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[2,5,8,4,6,3,7,1]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[8,1,6,5,2,7,4,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,8,1,5,2,7,4,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,6,2,7,4,8,3,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[1,7,3,2,4,8,6,5]=>[1,8,4,3,5,7,6,2]=>[8,1,5,6,4,2,3,7]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]
[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]=>[4,1,6,5,8,3,2,7]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]
[1,7,5,3,8,6,2,4]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,5,3,8,1,4,7,6]=>[5,6,3,8,1,2,7,4]=>[4,3,6,1,8,7,2,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[4,2,5,8,1,3,7,6]=>[6,5,3,8,2,1,7,4]=>[3,4,6,1,7,8,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[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]=>[4,6,7,1,8,3,2,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[3,1,7,4,8,6,5,2]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,4,5,3,2,8,7,1]=>[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[2,7,3,8,5,1,6,4]=>[6,8,3,7,5,1,4,2]=>[3,1,6,2,4,8,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[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]=>[5,7,1,8,2,3,4,6]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[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]=>[4,7,1,5,8,3,2,6]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[7,1,6,2,4,8,3,5]=>[8,2,7,4,5,6,3,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[2,7,8,1,4,3,6,5]=>[4,8,7,1,6,5,3,2]=>[5,1,2,8,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[2,1,8,5,3,4,6,7]=>[2,1,8,6,5,4,7,3]=>[7,8,1,3,4,5,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,8,6,3,1,5,4,7]=>[5,8,7,4,1,6,3,2]=>[4,1,2,5,8,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[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]=>[3,2,5,6,1,8,7,4]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,7,8,5,6,4,3,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,8,1,7,4,5,3,6]=>[3,8,1,7,6,5,4,2]=>[6,1,8,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[7,3,6,2,5,4,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[1,8,5,6,4,3,7,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,6,8,4,5,1,7,3]=>[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[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]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[5,3,2,1,7,8,4,6]=>[7,4,3,2,8,6,1,5]=>[2,5,6,7,1,3,8,4]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]
[1,6,5,3,8,4,7,2]=>[1,8,6,4,7,3,5,2]=>[8,1,3,5,2,6,4,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[7,6,2,3,5,1,4,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,2,5,3,4,8,1,7]=>[7,5,4,3,2,8,1,6]=>[2,4,5,6,7,1,8,3]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[6,2,5,3,4,8,7,1]=>[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[2,6,5,3,4,8,1,7]=>[7,5,4,3,2,8,1,6]=>[2,4,5,6,7,1,8,3]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[5,3,4,8,1,7,2,6]=>[7,5,3,8,2,6,1,4]=>[2,4,6,1,7,3,8,5]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[5,1,3,8,4,7,6,2]=>[8,2,5,7,3,6,4,1]=>[1,7,4,2,6,3,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[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]=>[2,3,5,6,1,7,8,4]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[3,6,5,4,8,2,7,1]=>[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[3,5,2,4,8,7,6,1]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[2,5,3,6,8,4,1,7]=>[7,6,3,4,8,2,1,5]=>[2,3,6,5,1,7,8,4]=>[[.,[.,[[.,.],.]]],[[.,[.,.]],.]]
[2,3,5,1,7,6,4,8]=>[4,2,7,1,6,5,3,8]=>[5,7,2,8,3,4,6,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[2,3,1,7,4,8,6,5]=>[3,2,1,8,5,7,6,4]=>[6,7,8,1,4,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[2,3,8,7,6,4,1,5]=>[7,2,8,6,5,4,1,3]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[7,5,2,3,1,6,4,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,8,3,6,4,2,7,5]=>[1,8,6,7,5,3,4,2]=>[8,1,3,2,4,6,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[2,1,7,4,8,5,3,6]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[8,1,7,3,2,5,4,6]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[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]=>[4,5,1,7,8,2,3,6]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[8,1,2,5,7,4,6,3]=>[8,2,3,7,6,5,4,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[7,4,6,3,1,2,5,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,4,1,3,7,2,5,8]=>[7,6,3,4,5,2,1,8]=>[2,3,6,5,4,7,8,1]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[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]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[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]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[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]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[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]=>[8,7,1,2,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[4,8,1,2,6,5,3,7]=>[7,8,3,4,6,5,1,2]=>[2,1,6,5,3,4,8,7]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]
[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]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[6,3,8,5,7,1,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,5,7,6,1,3,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,6,5,1,3,8,7,2]=>[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[5,4,6,2,1,8,7,3]=>[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[3,5,4,1,2,8,6,7]=>[5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[5,3,8,1,4,2,6,7]=>[6,5,8,4,2,1,7,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[5,3,8,1,4,2,7,6]=>[6,5,8,4,2,1,7,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[1,4,7,5,8,6,2,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[2,4,5,1,8,3,7,6]=>[4,6,3,1,8,2,7,5]=>[5,3,6,8,1,7,2,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[7,2,8,5,3,4,1,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,3,5,6,4,1,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[1,4,7,6,8,5,2,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,3,1,7,8,9,4,5,6]=>[3,2,1,9,8,7,6,5,4]=>[7,8,9,1,2,3,4,5,6]=>[[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,6,7,8,9,3,4,5]=>[2,1,9,8,7,6,5,4,3]=>[8,9,1,2,3,4,5,6,7]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,5,6,3,4,1,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[4,6,2,1,5,8,3,7]=>[7,5,4,3,2,8,1,6]=>[2,4,5,6,7,1,8,3]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[4,6,7,2,3,8,5,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,3,5,8,7,4,1,6]=>[7,2,6,8,5,3,1,4]=>[2,7,3,1,4,6,8,5]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]
[2,3,5,8,7,4,6,1]=>[8,2,6,7,5,3,4,1]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[4,5,3,7,8,1,2,6]=>[7,6,3,8,5,2,1,4]=>[2,3,6,1,4,7,8,5]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[2,3,5,8,1,6,4,7]=>[5,2,7,8,1,6,3,4]=>[4,7,2,1,8,3,6,5]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]
[1,7,4,5,8,3,6,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,6,1,5,4,2,7,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,8,5,6,3,1,4,7]=>[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[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]=>[4,7,1,2,8,3,5,6]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[4,1,2,5,8,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[8,7,1,2,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[5,1,4,8,7,3,6,2]=>[8,2,6,7,5,3,4,1]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[4,3,1,8,7,5,6,2]=>[8,3,2,7,6,5,4,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[7,2,6,5,3,1,4,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,3,7,6,2,4,8,5]=>[1,5,8,6,2,4,7,3]=>[8,4,1,3,7,5,2,6]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]
[1,3,8,2,7,4,6,5]=>[1,4,8,2,7,6,5,3]=>[8,5,1,7,2,3,4,6]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[8,2,7,1,6,4,3,5]=>[8,4,7,2,6,5,3,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[1,6,5,3,2,4,8,7]=>[1,6,5,4,3,2,8,7]=>[8,3,4,5,6,7,1,2]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]
[1,7,3,5,2,4,8,6]=>[1,8,5,6,3,4,7,2]=>[8,1,4,3,6,5,2,7]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]
[4,3,7,2,5,1,6,8]=>[6,4,7,2,5,1,3,8]=>[3,5,2,7,4,8,6,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[5,1,4,3,2,6,8,7]=>[5,2,4,3,1,6,8,7]=>[4,7,5,6,8,3,1,2]=>[[[.,[[.,.],[.,[.,.]]]],.],[.,.]]
[7,2,1,3,5,4,6,8]=>[7,3,2,4,6,5,1,8]=>[2,6,7,5,3,4,8,1]=>[[.,[[[.,[.,.]],.],[.,[.,.]]]],.]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,3,6,1,8,5,2,7]=>[7,4,6,2,8,3,1,5]=>[2,5,3,7,1,6,8,4]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]
[1,4,8,7,3,6,2,5]=>[1,7,8,6,5,4,2,3]=>[8,2,1,3,4,5,7,6]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[4,5,7,6,3,1,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,6,7,5,1,3,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,6,7,3,1,5,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,2,4,7,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,2,5,1,8,7,3,4]=>[8,4,7,2,6,5,3,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,2,3,5,7,4,1,8]=>[7,6,3,4,5,2,1,8]=>[2,3,6,5,4,7,8,1]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[1,6,3,8,4,7,2,5]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,1,5,2,4,7,3,6]=>[8,2,7,4,5,6,3,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[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]=>[8,2,6,1,4,3,7,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[3,2,7,1,8,6,5,4]=>[4,2,8,1,7,6,5,3]=>[5,7,1,8,2,3,4,6]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[1,3,8,5,6,7,2,4]=>[1,7,8,6,5,4,2,3]=>[8,2,1,3,4,5,7,6]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[5,8,4,1,3,6,7,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[3,7,1,5,2,8,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[5,2,8,1,7,4,6,3]=>[8,4,7,2,6,5,3,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[2,5,4,7,3,1,8,6]=>[6,5,3,8,2,1,7,4]=>[3,4,6,1,7,8,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[4,6,3,1,2,5,7,8]=>[5,6,4,3,1,2,7,8]=>[4,3,5,6,8,7,2,1]=>[[[[.,.],[.,[.,[[.,.],.]]]],.],.]
[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]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[2,5,6,4,8,1,3,7]=>[6,7,4,3,8,1,2,5]=>[3,2,5,6,1,8,7,4]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]
[5,4,1,6,2,3,7,8]=>[6,5,3,4,2,1,7,8]=>[3,4,6,5,7,8,2,1]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[1,3,6,5,2,4,7,8]=>[1,5,6,4,2,3,7,8]=>[8,4,3,5,7,6,2,1]=>[[[[[.,.],.],[.,[[.,.],.]]],.],.]
[6,4,5,1,2,8,7,3]=>[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[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]=>[5,1,2,8,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[4,1,2,8,7,3,6,5]=>[6,2,3,8,7,1,5,4]=>[3,7,6,1,2,8,4,5]=>[[.,[[.,.],.]],[.,[[.,.],[.,.]]]]
[3,7,8,1,2,4,6,5]=>[5,8,7,4,1,6,3,2]=>[4,1,2,5,8,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[8,4,3,1,2,6,5,7]=>[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[3,8,2,7,4,5,1,6]=>[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[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]=>[1,5,2,7,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,5,2,7,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[8,2,4,7,3,1,6,5]=>[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[8,4,1,7,5,6,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,2,7,6,4,5,3]=>[8,2,3,7,6,5,4,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[8,1,4,7,3,6,5,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,3,1,9,8,7,6,5,4]=>[3,2,1,9,8,7,6,5,4]=>[7,8,9,1,2,3,4,5,6]=>[[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]]
[3,4,2,1,9,8,7,6,5]=>[4,3,2,1,9,8,7,6,5]=>[6,7,8,9,1,2,3,4,5]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]]
[4,5,3,2,1,9,8,7,6]=>[5,4,3,2,1,9,8,7,6]=>[5,6,7,8,9,1,2,3,4]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,.]]]]
[5,6,4,3,2,1,9,8,7]=>[6,5,4,3,2,1,9,8,7]=>[4,5,6,7,8,9,1,2,3]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]]
[6,7,5,4,3,2,1,9,8]=>[7,6,5,4,3,2,1,9,8]=>[3,4,5,6,7,8,9,1,2]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]
[2,8,1,5,3,7,6,4]=>[3,8,1,7,5,6,4,2]=>[6,1,8,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,8,2,4,7,5,6,3]=>[1,8,3,7,6,5,4,2]=>[8,1,6,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[2,3,8,4,7,1,6,5]=>[6,2,8,4,7,1,5,3]=>[3,7,1,5,2,8,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[1,8,2,3,5,6,4,7]=>[1,8,3,4,7,6,5,2]=>[8,1,6,5,2,3,4,7]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[1,7,6,2,3,8,4,5]=>[1,8,7,4,5,6,3,2]=>[8,1,2,5,4,3,6,7]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[1,8,2,3,7,6,4,5]=>[1,8,3,4,7,6,5,2]=>[8,1,6,5,2,3,4,7]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[1,7,3,8,6,2,5,4]=>[1,8,6,7,5,3,4,2]=>[8,1,3,2,4,6,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[4,2,8,3,7,6,1,5]=>[7,4,8,2,6,5,1,3]=>[2,5,1,7,3,4,8,6]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[3,1,7,8,5,2,4,6]=>[6,2,8,7,5,1,4,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[4,6,1,8,2,7,5,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,3,5,2,8,4,7,1]=>[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[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]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[6,3,5,1,8,4,7,2]=>[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[2,6,3,1,5,8,4,7]=>[4,7,3,1,5,8,2,6]=>[5,2,6,8,4,1,7,3]=>[[[.,.],[[.,[.,.]],.]],[[.,.],.]]
[2,5,4,8,6,3,1,7]=>[7,6,3,8,5,2,1,4]=>[2,3,6,1,4,7,8,5]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[1,2,5,4,8,6,3,7]=>[1,2,7,4,8,6,3,5]=>[8,7,2,5,1,3,6,4]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]
[6,4,5,8,2,1,7,3]=>[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[5,3,4,1,2,6,8,7]=>[5,4,3,2,1,6,8,7]=>[4,5,6,7,8,3,1,2]=>[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]]
[1,4,3,5,2,8,6,7]=>[1,5,3,4,2,8,7,6]=>[8,4,6,5,7,1,2,3]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]
[1,3,5,4,8,2,6,7]=>[1,6,4,3,8,2,7,5]=>[8,3,5,6,1,7,2,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[3,5,4,8,2,6,1,7]=>[7,5,3,8,2,6,1,4]=>[2,4,6,1,7,3,8,5]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[3,6,4,5,1,2,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[4,3,5,1,8,6,2,7]=>[7,4,3,2,8,6,1,5]=>[2,5,6,7,1,3,8,4]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]
[3,5,4,8,1,6,2,7]=>[7,5,3,8,2,6,1,4]=>[2,4,6,1,7,3,8,5]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[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]=>[5,6,7,8,4,1,2,3]=>[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]]
[1,7,6,2,5,4,8,3]=>[1,8,6,4,5,3,7,2]=>[8,1,3,5,4,6,2,7]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[3,7,2,1,5,6,8,4]=>[4,8,3,1,6,5,7,2]=>[5,1,6,8,3,4,2,7]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,3,7,8,2,6,4,5]=>[1,5,8,7,2,6,4,3]=>[8,4,1,2,7,3,5,6]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[2,1,6,5,3,8,7,4]=>[2,1,8,5,4,7,6,3]=>[7,8,1,4,5,2,3,6]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[3,7,5,6,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[4,5,1,6,8,3,7,2]=>[8,6,3,4,7,2,5,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[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]=>[2,7,4,1,6,3,8,5]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[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]=>[2,3,4,1,6,7,8,5]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[1,4,8,3,5,6,2,7]=>[1,7,8,4,5,6,2,3]=>[8,2,1,5,4,3,7,6]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]
[1,8,7,4,2,3,6,5]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[7,3,2,4,8,1,6,5]=>[8,6,3,4,7,2,5,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[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]=>[1,3,6,5,2,7,4,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,6,7,2,4,1,8,5]=>[6,8,5,4,3,1,7,2]=>[3,1,4,5,6,8,2,7]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[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]=>[3,6,7,1,2,8,4,5]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]
[4,1,6,3,2,5,7,8]=>[5,2,6,4,1,3,7,8]=>[4,7,3,5,8,6,2,1]=>[[[[.,[.,.]],[.,[[.,.],.]]],.],.]
[5,7,1,8,4,3,6,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[4,3,6,5,8,7,2,1]=>[[[[.,.],[[.,.],[[.,.],.]]],.],.]
[3,7,6,2,5,4,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,4,5,1,2,7,6,3]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,5,2,4,1,3,8,6]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,2,3,4,1,6,7,5]=>[8,5,3,4,2,7,6,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[7,4,3,8,1,6,5,2]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[6,5,1,4,3,8,7,2]=>[8,5,3,4,2,7,6,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[4,7,6,2,5,8,1,3]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,6,4,5,8,3,1,7]=>[7,6,4,3,8,2,1,5]=>[2,3,5,6,1,7,8,4]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[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]=>[8,2,1,3,4,5,7,6]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[1,7,2,4,5,8,6,3]=>[1,8,3,7,5,6,4,2]=>[8,1,6,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,4,6,8,7,2,5,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,6,2,7,5,3,4,8]=>[1,7,3,6,5,4,2,8]=>[8,2,6,3,4,5,7,1]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[1,3,7,2,6,4,5,8]=>[1,4,7,2,6,5,3,8]=>[8,5,2,7,3,4,6,1]=>[[[[.,.],.],[[.,.],[.,[.,.]]]],.]
[1,7,3,8,4,2,5,6]=>[1,8,6,7,5,3,4,2]=>[8,1,3,2,4,6,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[1,6,2,4,7,5,8,3]=>[1,8,3,6,5,4,7,2]=>[8,1,6,3,4,5,2,7]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[1,6,2,7,4,3,8,5]=>[1,8,3,6,5,4,7,2]=>[8,1,6,3,4,5,2,7]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[1,5,8,2,3,6,4,7]=>[1,7,8,4,5,6,2,3]=>[8,2,1,5,4,3,7,6]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]
[2,5,3,6,7,1,4,8]=>[6,7,3,4,5,1,2,8]=>[3,2,6,5,4,8,7,1]=>[[[.,.],[[[.,.],.],[[.,.],.]]],.]
[6,4,1,5,7,2,3,8]=>[7,6,3,4,5,2,1,8]=>[2,3,6,5,4,7,8,1]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[6,4,1,5,7,3,8,2]=>[8,6,3,4,5,2,7,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[1,2,7,3,8,5,6,4]=>[1,2,8,4,7,6,5,3]=>[8,7,1,5,2,3,4,6]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[1,5,7,4,3,8,6,2]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[2,7,3,1,4,5,8,6]=>[4,8,3,1,5,6,7,2]=>[5,1,6,8,4,3,2,7]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]
[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]=>[8,7,2,3,4,5,6,1]=>[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]
[1,2,6,8,7,4,5,3]=>[1,2,8,7,6,5,4,3]=>[8,7,1,2,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[3,4,5,6,8,2,7,1]=>[8,6,3,4,7,2,5,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,8,2,1,3,5,6]=>[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[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]=>[5,6,7,8,9,1,2,3,4]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,.]]]]
[6,5,3,4,2,1,9,8,7]=>[6,5,4,3,2,1,9,8,7]=>[4,5,6,7,8,9,1,2,3]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]]
[7,6,4,5,3,2,1,9,8]=>[7,6,5,4,3,2,1,9,8]=>[3,4,5,6,7,8,9,1,2]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]
[4,5,2,7,8,6,1,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,3,5,8,7,2,6,4]=>[1,6,8,7,5,2,4,3]=>[8,3,1,2,4,7,5,6]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]
[6,4,1,8,5,7,3,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,1,3,8,7,5,2,6]=>[7,2,3,8,6,5,1,4]=>[2,7,6,1,3,4,8,5]=>[[.,[[.,.],.]],[.,[.,[[.,.],.]]]]
[8,5,1,6,7,2,4,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,6,7,2,1,5,8,4]=>[5,8,6,4,1,3,7,2]=>[4,1,3,5,8,6,2,7]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]
[2,5,6,1,3,8,7,4]=>[4,8,5,1,3,7,6,2]=>[5,1,4,8,6,2,3,7]=>[[.,.],[[.,[[.,.],.]],[.,[.,.]]]]
[3,8,5,7,2,4,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,2,5,6,1,3,8,4]=>[8,5,6,4,2,3,7,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[4,6,3,5,7,1,8,2]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[4,7,3,5,2,6,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[1,7,2,5,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[7,8,9,6,1,2,3,4,10,5]=>[10,8,7,6,5,4,3,2,9,1]=>[1,3,4,5,6,7,8,9,2,10]=>[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]]
[2,8,9,10,7,1,3,4,5,6]=>[6,10,9,8,7,1,5,4,3,2]=>[5,1,2,3,4,10,6,7,8,9]=>[[.,.],[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]]
[8,9,7,5,6,1,2,3,10,4]=>[10,8,7,6,5,4,3,2,9,1]=>[1,3,4,5,6,7,8,9,2,10]=>[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]]
[7,8,9,5,1,2,3,4,10,6]=>[10,8,7,6,5,4,3,2,9,1]=>[1,3,4,5,6,7,8,9,2,10]=>[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]]
[2,8,9,10,6,1,3,4,5,7]=>[6,10,9,8,7,1,5,4,3,2]=>[5,1,2,3,4,10,6,7,8,9]=>[[.,.],[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]]
[2,9,10,11,12,8,1,3,4,5,6,7]=>[7,12,11,10,9,8,1,6,5,4,3,2]=>[6,1,2,3,4,5,12,7,8,9,10,11]=>[[.,.],[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]]
[2,8,3,6,4,1,7,5]=>[6,8,3,7,5,1,4,2]=>[3,1,6,2,4,8,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[5,1,8,7,3,2,6,4]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,5,3,4,8,2,1,7]=>[7,6,4,3,8,2,1,5]=>[2,3,5,6,1,7,8,4]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[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]=>[5,6,7,8,9,4,3,2,1]=>[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[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]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,7,8,3,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[2,6,4,7,1,8,5,3]=>[5,8,7,4,1,6,3,2]=>[4,1,2,5,8,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,6,5,7,3,8,2,4]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,8,5,3,7,6,2,4]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,4,2,3,8,7,5,1]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[6,5,1,3,8,4,2,7]=>[7,6,3,4,8,2,1,5]=>[2,3,6,5,1,7,8,4]=>[[.,[.,[[.,.],.]]],[[.,[.,.]],.]]
[6,1,4,2,7,8,3,5]=>[8,2,7,4,5,6,3,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[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]=>[1,7,5,6,2,3,4,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,8,7,3,2,4,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,4,3,7,6,2,8,5]=>[1,6,3,8,5,2,7,4]=>[8,3,6,1,4,7,2,5]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[1,6,2,5,7,3,8,4]=>[1,8,3,6,5,4,7,2]=>[8,1,6,3,4,5,2,7]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[1,4,3,8,2,5,7,6]=>[1,5,3,8,2,6,7,4]=>[8,4,6,1,7,3,2,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[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]=>[8,1,2,5,4,3,6,7]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[3,7,2,8,4,1,5,6]=>[6,8,3,7,5,1,4,2]=>[3,1,6,2,4,8,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[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]=>[2,7,1,5,4,3,8,6]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[4,1,8,3,2,6,5,7]=>[5,2,8,4,1,7,6,3]=>[4,7,1,5,8,2,3,6]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[1,2,6,8,4,3,5,7]=>[1,2,7,8,6,5,3,4]=>[8,7,2,1,3,4,6,5]=>[[[[.,.],.],.],[.,[.,[[.,.],.]]]]
[5,8,4,1,3,7,2,6]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[3,4,2,1,6,8,5,7]=>[4,3,2,1,7,8,5,6]=>[5,6,7,8,2,1,4,3]=>[[[.,[.,[.,[.,.]]]],.],[[.,.],.]]
[8,1,3,5,6,4,7,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,3,5,1,4,6,7,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,3,2,5,1,4,7,6]=>[8,5,3,6,2,4,7,1]=>[1,4,6,3,7,5,2,8]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[8,4,5,1,2,6,7,3]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,1,5,3,2,6,7,4]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[8,1,5,2,4,6,7,3]=>[8,2,7,4,5,6,3,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[5,2,6,4,1,3,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[7,1,3,5,2,8,6,4]=>[8,2,5,7,3,6,4,1]=>[1,7,4,2,6,3,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[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]=>[7,8,1,3,4,5,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[6,2,8,5,4,1,3,7]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[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]=>[2,4,1,5,7,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[5,2,4,7,8,1,3,6]=>[7,6,3,8,5,2,1,4]=>[2,3,6,1,4,7,8,5]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[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]=>[1,9,2,3,4,5,6,7,8,10]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[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]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[1,7,8,5,4,6,2,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,6,8,1,5,2,7,3]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[2,3,7,5,8,6,1,4]=>[7,2,8,6,5,4,1,3]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[3,8,5,1,2,4,7,6]=>[5,8,6,4,1,3,7,2]=>[4,1,3,5,8,6,2,7]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]
[1,3,6,4,8,2,7,5]=>[1,6,8,4,7,2,5,3]=>[8,3,1,5,2,7,4,6]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[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]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,5,8,6,4,7,2,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[3,4,6,1,7,8,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[9,6,5,4,3,2,1,7,8]=>[9,7,6,5,4,3,2,8,1]=>[1,3,4,5,6,7,8,2,9]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]]
[10,7,6,5,4,3,2,1,8,9]=>[10,8,7,6,5,4,3,2,9,1]=>[1,3,4,5,6,7,8,9,2,10]=>[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]]
[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]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[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]=>[8,7,1,2,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[3,2,7,5,8,4,6,1]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[2,7,5,4,6,8,1,3]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[8,1,4,7,3,5,6,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,6,3,4,2,8,7,1]=>[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[2,5,7,4,6,8,1,3]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[2,5,6,4,1,3,8,7]=>[5,6,4,3,1,2,8,7]=>[4,3,5,6,8,7,1,2]=>[[[.,.],[.,[.,[[.,.],.]]]],[.,.]]
[4,6,1,3,5,7,2,8]=>[7,5,3,4,2,6,1,8]=>[2,4,6,5,7,3,8,1]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[3,2,7,5,8,1,6,4]=>[6,2,8,7,5,1,4,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[4,3,6,8,5,2,1,7]=>[7,6,5,8,3,2,1,4]=>[2,3,4,1,6,7,8,5]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[4,5,3,2,1,8,6,7]=>[5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[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]=>[2,7,3,1,4,6,8,5]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]
[4,5,2,8,6,7,1,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,5,2,8,6,7,3,1]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[2,7,6,5,1,3,8,4]=>[[.,[[[.,.],.],.]],[.,[[.,.],.]]]
[4,5,2,1,3,8,6,7]=>[5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[4,2,3,6,8,5,1,7]=>[7,3,2,6,8,4,1,5]=>[2,6,7,3,1,5,8,4]=>[[.,[[.,[.,.]],.]],[[.,[.,.]],.]]
[4,5,1,3,2,8,6,7]=>[5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[3,4,5,8,6,1,2,7]=>[7,6,3,8,5,2,1,4]=>[2,3,6,1,4,7,8,5]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[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]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[8,2,6,4,1,3,7,5]=>[8,5,7,6,2,4,3,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[1,5,8,2,4,3,7,6]=>[1,6,8,4,5,2,7,3]=>[8,3,1,5,4,7,2,6]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]
[4,3,7,8,2,6,5,1]=>[8,5,7,6,2,4,3,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[3,8,5,1,2,6,7,4]=>[5,8,7,4,1,6,3,2]=>[4,1,2,5,8,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[2,4,7,8,3,6,5,1]=>[8,5,7,6,2,4,3,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[5,4,7,8,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,4,8,5,7,2,3,6]=>[1,7,8,6,5,4,2,3]=>[8,2,1,3,4,5,7,6]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[1,8,7,3,2,4,5,6]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,8,5,1,7,4,2,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,8,5,2,3,1,6,7]=>[6,8,5,4,3,1,7,2]=>[3,1,4,5,6,8,2,7]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[5,4,8,3,1,2,6,7]=>[6,5,8,4,2,1,7,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,6,7,5,1,8,2,3]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[6,3,7,5,1,2,8,4]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,1,2,8,4,6,5,3]=>[8,2,3,7,6,5,4,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[3,5,8,1,2,7,6,4]=>[5,8,7,4,1,6,3,2]=>[4,1,2,5,8,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,4,3,6,8,5,2,7]=>[1,7,3,6,8,4,2,5]=>[8,2,6,3,1,5,7,4]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,7,1,5,6,3,2,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[4,5,7,1,6,3,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[2,7,1,4,8,3,6,5]=>[3,8,1,6,7,4,5,2]=>[6,1,8,3,2,5,4,7]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[2,7,1,5,6,8,4,3]=>[3,8,1,7,5,6,4,2]=>[6,1,8,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[2,3,1,8,7,4,6,5]=>[3,2,1,8,7,6,5,4]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[4,6,8,2,1,5,3,7]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[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]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[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]=>[3,4,6,2,7,8,5,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[4,5,6,8,3,2,7,1]=>[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[4,5,7,2,6,1,8,3]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,6,5,7,2,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,6,7,2,5,8,4,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,3,6,7,4,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,2,7,8,3,6,5,1]=>[8,5,7,6,2,4,3,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[4,2,7,8,5,6,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,5,7,8,4,2,1,6]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[4,6,7,3,2,8,1,5]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[5,6,3,2,8,4,7,1]=>[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[5,6,2,8,3,4,7,1]=>[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[8,7,2,4,5,1,6,3]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]
[5,4,2,3,1,7,8,6]=>[5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[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]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[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]=>[3,1,6,5,2,8,4,7]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[2,4,5,3,8,7,1,6]=>[7,4,3,2,8,6,1,5]=>[2,5,6,7,1,3,8,4]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]
[4,7,5,6,2,8,1,3]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[3,1,5,6,2,8,4,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[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]=>[4,1,2,5,8,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[8,1,7,6,2,5,4,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,5,4,3,7,6,1,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,4,8,6,7,3,5,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,1,6,7,8,5,3,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[2,3,6,5,4,7,8,1]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[4,8,5,3,2,7,1,6]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[5,4,8,1,3,7,2,6]=>[7,5,8,4,2,6,1,3]=>[2,4,1,5,7,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[8,4,5,3,1,7,2,6]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,4,5,3,1,8,6,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[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]=>[4,1,2,3,8,5,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[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]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[2,1,4,7,8,6,3,5]=>[2,1,7,8,6,5,3,4]=>[7,8,2,1,3,4,6,5]=>[[[.,[.,.]],.],[.,[.,[[.,.],.]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,7,6,2,4,5,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[5,1,2,8,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,7,5,6,4,8,2,3]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[8,3,1,4,6,2,7,5]=>[8,6,3,4,7,2,5,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[7,2,6,4,5,8,1,3]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,2,5,4,6,8,1,3]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[6,1,8,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[2,4,3,8,5,1,7,6]=>[6,3,2,8,5,1,7,4]=>[3,6,7,1,4,8,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[7,3,2,1,4,8,6,5]=>[8,4,3,2,5,7,6,1]=>[1,5,6,7,4,2,3,8]=>[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]
[2,8,3,4,1,7,6,5]=>[5,8,3,4,1,7,6,2]=>[4,1,6,5,8,2,3,7]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[4,7,6,8,2,5,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,1,6,3,5,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,7,4,2,6,3,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[6,2,5,3,4,7,1,8]=>[7,5,4,3,2,6,1,8]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[2,7,3,4,1,5,8,6]=>[5,8,3,4,1,6,7,2]=>[4,1,6,5,8,3,2,7]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]
[2,5,8,1,6,7,3,4]=>[4,8,7,1,6,5,3,2]=>[5,1,2,8,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[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]=>[2,7,4,1,6,3,8,5]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[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]=>[4,3,5,6,8,7,1,2]=>[[[.,.],[.,[.,[[.,.],.]]]],[.,.]]
[5,2,7,1,4,3,6,8]=>[6,4,7,2,5,1,3,8]=>[3,5,2,7,4,8,6,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[5,2,3,1,4,6,8,7]=>[5,4,3,2,1,6,8,7]=>[4,5,6,7,8,3,1,2]=>[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]]
[3,5,1,7,6,2,8,4]=>[6,8,3,5,4,1,7,2]=>[3,1,6,4,5,8,2,7]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[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]=>[4,7,1,2,8,3,5,6]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[4,5,1,8,7,6,3,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[2,7,6,3,4,5,8,1]=>[[.,[[[.,.],.],[.,[.,[.,.]]]]],.]
[3,1,4,5,7,6,2,8]=>[7,2,3,4,6,5,1,8]=>[2,7,6,5,3,4,8,1]=>[[.,[[[[.,.],.],.],[.,[.,.]]]],.]
[4,5,1,3,6,8,7,2]=>[8,4,3,2,5,7,6,1]=>[1,5,6,7,4,2,3,8]=>[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]
[3,8,5,1,2,4,6,7]=>[5,8,6,4,1,3,7,2]=>[4,1,3,5,8,6,2,7]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]
[8,5,1,2,4,3,6,7]=>[8,6,3,4,5,2,7,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[5,8,4,1,2,3,6,7]=>[6,8,5,4,3,1,7,2]=>[3,1,4,5,6,8,2,7]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[3,5,8,1,4,2,7,6]=>[6,5,8,4,2,1,7,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[2,8,5,7,1,4,3,6]=>[5,8,7,6,1,4,3,2]=>[4,1,2,3,8,5,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[4,8,7,5,1,2,3,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[8,1,2,4,6,3,7,5]=>[8,2,3,6,7,4,5,1]=>[1,7,6,3,2,5,4,8]=>[.,[[[[.,.],.],.],[[.,.],[.,.]]]]
[6,1,2,7,8,4,3,5]=>[8,2,3,7,6,5,4,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[1,8,4,7,5,2,3,6]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,4,7,2,1,6,3,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,4,2,5,3,6,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,4,2,5,3,6,7,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,1,5,3,6,8,2,4]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[8,1,5,3,6,7,2,4]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,7,5,4,6,8,2,3]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[4,7,8,2,5,6,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,1,8,6,7,3,4,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,4,8,2,1,3,6,7]=>[6,5,8,4,2,1,7,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[1,4,8,3,2,6,5,7]=>[1,5,8,4,2,7,6,3]=>[8,4,1,5,7,2,3,6]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]
[1,3,8,4,2,7,5,6]=>[1,5,8,4,2,7,6,3]=>[8,4,1,5,7,2,3,6]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]
[8,1,3,2,7,5,4,6]=>[8,2,4,3,7,6,5,1]=>[1,7,5,6,2,3,4,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[9,8,7,5,6,4,3,2,10,1]=>[10,8,7,6,5,4,3,2,9,1]=>[1,3,4,5,6,7,8,9,2,10]=>[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]]
[8,7,5,4,6,3,2,9,1]=>[9,7,6,5,4,3,2,8,1]=>[1,3,4,5,6,7,8,2,9]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]]
[8,7,4,6,5,3,2,9,1]=>[9,7,6,5,4,3,2,8,1]=>[1,3,4,5,6,7,8,2,9]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]]
[2,3,1,7,8,9,6,5,4]=>[3,2,1,9,8,7,6,5,4]=>[7,8,9,1,2,3,4,5,6]=>[[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,6,7,8,9,5,4,3]=>[2,1,9,8,7,6,5,4,3]=>[8,9,1,2,3,4,5,6,7]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[4,8,9,3,2,1,10,7,6,5]=>[[[[.,[.,[.,.]]],.],.],[[[[.,.],.],.],.]]
[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]=>[3,6,7,8,9,2,1,10,5,4]=>[[[.,[.,[.,[.,[.,.]]]]],.],[[[.,.],.],.]]
[5,7,3,8,2,4,6,10,1,9]=>[9,7,6,5,4,3,2,10,1,8]=>[2,4,5,6,7,8,9,1,10,3]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[[.,.],.]]
[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]=>[2,4,5,6,7,8,9,1,10,3]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[[.,.],.]]
[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]=>[3,6,7,8,9,2,1,10,5,4]=>[[[.,[.,[.,[.,[.,.]]]]],.],[[[.,.],.],.]]
[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]=>[2,4,5,6,7,8,9,1,10,3]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[[.,.],.]]
[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]=>[2,4,5,6,7,8,9,1,10,3]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[[.,.],.]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[7,6,1,8,2,5,4,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,4,1,6,7,3,5,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,8,4,2,1,6,3,7]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[7,6,4,1,2,5,3,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,4,2,8,1,6,3,7]=>[7,5,3,8,2,6,1,4]=>[2,4,6,1,7,3,8,5]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[1,3,6,5,2,7,4,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[1,6,3,7,2,4,8,5]=>[1,8,5,6,3,4,7,2]=>[8,1,4,3,6,5,2,7]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]
[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]=>[2,3,4,5,6,7,8,9,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[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]=>[3,5,2,7,4,8,6,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[6,3,1,5,7,2,4,8]=>[7,6,3,4,5,2,1,8]=>[2,3,6,5,4,7,8,1]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[4,5,2,1,3,7,6,8]=>[5,4,3,2,1,7,6,8]=>[4,5,6,7,8,2,3,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[8,2,7,4,1,6,5,3]=>[8,5,7,6,2,4,3,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[3,2,8,4,1,6,5,7]=>[5,2,8,4,1,7,6,3]=>[4,7,1,5,8,2,3,6]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[3,7,6,4,1,5,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,7,6,4,5,1,8,3]=>[6,8,5,4,3,1,7,2]=>[3,1,4,5,6,8,2,7]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[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]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,5,6,8,2,1,7,3]=>[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[4,5,6,8,1,3,7,2]=>[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[4,5,8,3,2,1,7,6]=>[6,5,8,4,2,1,7,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[4,5,1,3,2,6,7,8]=>[5,4,3,2,1,6,7,8]=>[4,5,6,7,8,3,2,1]=>[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]
[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]=>[2,3,6,5,4,7,8,1]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[4,8,3,2,1,6,7,5]=>[5,8,4,3,1,7,6,2]=>[4,1,5,6,8,2,3,7]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[5,2,8,1,4,6,7,3]=>[8,4,7,2,5,6,3,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[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]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[6,2,3,7,1,5,4,8]=>[7,5,3,6,2,4,1,8]=>[2,4,6,3,7,5,8,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[6,2,8,1,5,4,7,3]=>[8,4,7,2,6,5,3,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,1,3,4,5,6,2,8]=>[7,2,6,4,5,3,1,8]=>[2,7,3,5,4,6,8,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[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]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[2,3,6,5,8,4,7,1]=>[8,2,6,4,7,3,5,1]=>[1,7,3,5,2,6,4,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[1,5,2,6,8,7,3,4]=>[1,8,3,7,6,5,4,2]=>[8,1,6,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[8,5,6,3,4,1,2,9,7]=>[9,7,6,5,4,3,2,8,1]=>[1,3,4,5,6,7,8,2,9]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]]
[6,5,4,3,2,1,8,9,7]=>[6,5,4,3,2,1,9,8,7]=>[4,5,6,7,8,9,1,2,3]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]]
[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]=>[[.,.],[.,[.,[.,[.,[.,[[.,.],.]]]]]]]
[8,9,4,5,6,1,2,3,10,7]=>[10,8,7,6,5,4,3,2,9,1]=>[1,3,4,5,6,7,8,9,2,10]=>[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]]
[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]=>[4,5,6,7,8,9,10,1,2,3]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,[.,.]]]
[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]=>[3,4,6,2,7,8,5,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[7,6,9,5,4,3,2,1,8]=>[8,7,9,6,5,4,2,1,3]=>[2,3,1,4,5,6,8,9,7]=>[[.,[.,.]],[.,[.,[.,[[.,[.,.]],.]]]]]
[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]=>[3,6,7,1,4,8,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[4,2,6,3,1,5,7,8]=>[5,4,6,2,1,3,7,8]=>[4,5,3,7,8,6,2,1]=>[[[[.,[.,.]],[[.,[.,.]],.]],.],.]
[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]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[5,8,4,3,2,6,1,7]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[1,5,7,4,8,6,2,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,1,5,7,3,8,2,4]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[1,2,7,8,6,4,3,5]=>[1,2,8,7,6,5,4,3]=>[8,7,1,2,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[3,5,1,7,8,6,2,4]=>[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[5,2,4,1,7,6,8,3]=>[8,4,3,2,6,5,7,1]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[2,3,1,9,6,7,8,5,4]=>[3,2,1,9,8,7,6,5,4]=>[7,8,9,1,2,3,4,5,6]=>[[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,9,5,6,7,8,4,3]=>[2,1,9,8,7,6,5,4,3]=>[8,9,1,2,3,4,5,6,7]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,9,4,5,6,7,8,3,2]=>[1,9,8,7,5,6,4,3,2]=>[9,1,2,3,5,4,6,7,8]=>[[.,.],[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,4,3,8,1,7,2,6]=>[7,5,3,8,2,6,1,4]=>[2,4,6,1,7,3,8,5]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[5,4,9,1,8,2,7,3,6]=>[8,6,9,4,7,2,5,1,3]=>[2,4,1,6,3,8,5,9,7]=>[[.,[.,.]],[[.,.],[[.,.],[[.,.],.]]]]
[5,4,6,3,9,1,8,2,7]=>[8,6,4,3,9,2,7,1,5]=>[2,4,6,7,1,8,3,9,5]=>[[.,[.,[.,[.,.]]]],[[.,.],[[.,.],.]]]
[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]=>[2,4,1,6,3,8,5,9,7]=>[[.,[.,.]],[[.,.],[[.,.],[[.,.],.]]]]
[6,4,5,3,9,1,8,2,7]=>[8,6,4,3,9,2,7,1,5]=>[2,4,6,7,1,8,3,9,5]=>[[.,[.,[.,[.,.]]]],[[.,.],[[.,.],.]]]
[5,6,4,10,1,9,2,8,3,7]=>[9,7,5,10,3,8,2,6,1,4]=>[2,4,6,1,8,3,9,5,10,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],[[.,.],.]]]]
[5,4,7,3,6,2,9,1,8]=>[8,6,5,4,3,2,9,1,7]=>[2,4,5,6,7,8,1,9,3]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[[.,.],.]]
[5,6,4,7,3,10,1,9,2,8]=>[9,7,5,4,3,10,2,8,1,6]=>[2,4,6,7,8,1,9,3,10,5]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],[[.,.],.]]]
[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]=>[2,7,1,5,4,3,8,6]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[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]=>[8,1,3,5,4,6,2,7]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[1,4,2,5,8,6,3,7]=>[1,7,3,4,8,6,2,5]=>[8,2,6,5,1,3,7,4]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]
[5,4,3,2,1,8,9,7,6]=>[5,4,3,2,1,9,8,7,6]=>[5,6,7,8,9,1,2,3,4]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,.]]]]
[4,3,2,1,8,9,7,6,5]=>[4,3,2,1,9,8,7,6,5]=>[6,7,8,9,1,2,3,4,5]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]]
[3,2,1,8,9,7,6,5,4]=>[3,2,1,9,8,7,6,5,4]=>[7,8,9,1,2,3,4,5,6]=>[[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,8,9,7,6,5,4,3]=>[2,1,9,8,7,6,5,4,3]=>[8,9,1,2,3,4,5,6,7]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,8,2,1,5,7,3,6]=>[7,8,4,3,5,6,1,2]=>[2,1,5,6,4,3,8,7]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]
[4,8,2,5,1,6,3,7]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[5,8,1,2,4,6,3,7]=>[7,8,3,4,5,6,1,2]=>[2,1,6,5,4,3,8,7]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]
[3,2,7,1,6,4,5,8]=>[4,2,7,1,6,5,3,8]=>[5,7,2,8,3,4,6,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[6,3,1,7,5,4,2,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[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]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[1,7,4,8,3,5,6,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,3,1,4,8,6,2,7]=>[7,4,3,2,8,6,1,5]=>[2,5,6,7,1,3,8,4]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]
[5,2,4,8,3,1,6,7]=>[6,5,3,8,2,1,7,4]=>[3,4,6,1,7,8,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,8,6,7,5,3,2,4]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,4,8,7,3,5,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,5,1,8,3,7,4,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,1,4,3,8,6,5,2]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,1,5,7,2,8,3,4]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[1,8,7,2,5,6,3,4]=>[1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,8,2,6,7,4,3,5]=>[1,8,3,7,6,5,4,2]=>[8,1,6,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[2,5,4,8,7,6,1,3]=>[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[1,8,7,6,3,5,4,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,5,7,6,4,3,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,2,4,1,8,5,3,6]=>[8,4,7,2,6,5,3,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,3,2,1,4,6,8,5]=>[8,4,3,2,5,6,7,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,[.,[.,.]]],.],.],[.,.]]]
[4,7,2,6,1,8,3,5]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,8,1,3,4,2,5,7]=>[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[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]=>[5,2,3,8,4,6,7,1]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[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]=>[4,5,6,7,8,3,1,2]=>[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]]
[4,5,1,3,8,2,6,7]=>[6,4,3,2,8,1,7,5]=>[3,5,6,7,1,8,2,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[4,1,5,3,2,7,6,8]=>[5,2,4,3,1,7,6,8]=>[4,7,5,6,8,2,3,1]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[7,3,5,1,4,2,6,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,6,5,2,1,3,7,8]=>[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[6,1,5,3,7,2,4,8]=>[7,2,6,4,5,3,1,8]=>[2,7,3,5,4,6,8,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[3,6,5,4,1,7,2,8]=>[7,5,4,3,2,6,1,8]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[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]=>[3,4,5,6,7,8,9,10,1,2]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[7,5,4,8,1,3,6,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,8,2,6,7,5,4,3]=>[1,8,3,7,6,5,4,2]=>[8,1,6,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[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]=>[4,1,2,5,8,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,8,5,3,2,7,4,6]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,8,4,7,2,3,5,6]=>[1,8,6,7,5,3,4,2]=>[8,1,3,2,4,6,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[3,2,8,1,7,5,4,6]=>[4,2,8,1,7,6,5,3]=>[5,7,1,8,2,3,4,6]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[3,4,5,2,1,6,7,8,9]=>[5,4,3,2,1,6,7,8,9]=>[5,6,7,8,9,4,3,2,1]=>[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.]
[6,5,1,7,2,3,4,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[1,6,8,2,7,3,4,5]=>[1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,6,8,7,3,4,2,5]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,1,3,6,7,8,5,2]=>[8,2,3,7,5,6,4,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[4,1,2,6,7,8,5,3]=>[8,2,3,7,5,6,4,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[5,4,10,3,9,2,8,1,7,6]=>[8,6,10,4,9,2,7,1,5,3]=>[3,5,1,7,2,9,4,10,6,8]=>[[.,[.,.]],[[.,.],[[.,.],[[.,.],[.,.]]]]]
[5,4,3,10,9,2,1,8,7,6]=>[7,6,3,10,9,2,1,8,5,4]=>[4,5,8,1,2,9,10,3,6,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],[.,[.,.]]]]]
[5,4,3,10,2,9,1,8,7,6]=>[7,5,3,10,2,9,1,8,6,4]=>[4,6,8,1,9,2,10,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],[.,[.,.]]]]]
[5,4,3,2,10,1,9,8,7,6]=>[6,4,3,2,10,1,9,8,7,5]=>[5,7,8,9,1,10,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,[.,[.,.]]]]]
[6,5,4,12,11,10,3,2,1,9,8,7]=>[9,8,7,12,11,10,3,2,1,6,5,4]=>[4,5,6,1,2,3,10,11,12,7,8,9]=>[[.,[.,[.,.]]],[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]]
[6,5,4,3,12,11,2,1,10,9,8,7]=>[8,7,4,3,12,11,2,1,10,9,6,5]=>[5,6,9,10,1,2,11,12,3,4,7,8]=>[[.,[.,[.,[.,.]]]],[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[3,7,8,2,1,4,5,6]=>[5,8,7,4,1,6,3,2]=>[4,1,2,5,8,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[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]=>[9,10,7,8,1,2,3,4,5,6]=>[[[.,[.,.]],[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[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]=>[9,10,1,2,3,4,5,6,7,8]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,1,10,9,4,6,7,3,5,8]=>[2,1,10,9,8,7,6,5,4,3]=>[9,10,1,2,3,4,5,6,7,8]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,3,7,2,1,4,6,10,9]=>[8,7,6,5,4,3,2,1,10,9]=>[3,4,5,6,7,8,9,10,1,2]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]]
[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]=>[3,4,5,6,7,8,9,10,1,2]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]]
[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]=>[1,9,2,3,4,5,6,7,8,10]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[2,1,12,8,5,11,6,4,9,3,7,10]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[11,12,1,2,3,4,5,6,7,8,9,10]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[2,1,12,11,9,6,4,8,5,3,7,10]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[11,12,1,2,3,4,5,6,7,8,9,10]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[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]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,[.,[.,.]]]]]]
[1,5,4,7,8,3,6,2]=>[1,8,6,7,5,3,4,2]=>[8,1,3,2,4,6,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[5,1,4,7,8,3,6,2]=>[8,2,6,7,5,3,4,1]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[4,8,1,5,6,2,3,7]=>[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[5,6,4,1,7,3,8,2]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[4,3,7,8,2,5,1,6]=>[7,5,8,6,2,4,1,3]=>[2,4,1,3,7,5,8,6]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[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]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[7,2,4,5,6,8,3,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,7,4,5,6,8,3,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,3,6,5,2,7,4,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[3,7,4,5,8,1,6,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,4,6,5,8,2,7,3]=>[1,8,6,4,7,3,5,2]=>[8,1,3,5,2,6,4,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[4,6,1,7,3,2,8,5]=>[6,8,3,5,4,1,7,2]=>[3,1,6,4,5,8,2,7]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[4,7,3,5,1,2,8,6]=>[6,8,5,4,3,1,7,2]=>[3,1,4,5,6,8,2,7]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[1,6,4,2,3,5,8,7]=>[1,6,5,4,3,2,8,7]=>[8,3,4,5,6,7,1,2]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]
[4,8,3,5,2,1,6,7]=>[6,8,5,4,3,1,7,2]=>[3,1,4,5,6,8,2,7]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[4,6,5,8,2,3,7,1]=>[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[7,1,8,2,4,5,3,6]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[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]=>[2,3,6,1,4,7,8,5]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]
[7,5,1,2,3,8,4,6]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[4,2,3,6,8,5,7,1]=>[8,3,2,6,7,4,5,1]=>[1,6,7,3,2,5,4,8]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]
[4,7,3,2,6,5,1,8]=>[7,6,4,3,5,2,1,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[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]=>[2,3,6,1,4,7,8,5]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[6,3,5,8,4,1,2,7]=>[7,6,5,8,3,2,1,4]=>[2,3,4,1,6,7,8,5]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,5,3,6,8,1,2,7]=>[7,6,3,4,8,2,1,5]=>[2,3,6,5,1,7,8,4]=>[[.,[.,[[.,.],.]]],[[.,[.,.]],.]]
[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]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,3,1,2,8,6,5,4]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[4,1,3,6,5,7,2,8]=>[7,2,3,5,4,6,1,8]=>[2,7,6,4,5,3,8,1]=>[[.,[[[[.,.],.],[.,.]],[.,.]]],.]
[4,1,3,5,7,2,8,6]=>[6,2,3,4,8,1,7,5]=>[3,7,6,5,1,8,2,4]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]
[5,1,8,2,4,6,3,7]=>[7,2,8,4,5,6,1,3]=>[2,7,1,5,4,3,8,6]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[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]=>[1,5,2,7,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[3,1,5,8,6,7,2,4]=>[7,2,8,6,5,4,1,3]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[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]=>[9,10,7,8,1,2,3,4,5,6]=>[[[.,[.,.]],[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,10,7,4,9,6,3,8,5]=>[2,1,10,9,8,7,6,5,4,3]=>[9,10,1,2,3,4,5,6,7,8]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,2,7,4,1,6,3,10,9]=>[8,7,6,5,4,3,2,1,10,9]=>[3,4,5,6,7,8,9,10,1,2]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]]
[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]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,6,3,2,5,4,1,8,7]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[2,1,12,9,4,11,6,7,8,3,10,5]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[11,12,1,2,3,4,5,6,7,8,9,10]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[4,3,1,2,6,5,7,8]=>[4,3,2,1,6,5,7,8]=>[5,6,7,8,3,4,2,1]=>[[[[.,[.,[.,[.,.]]]],[.,.]],.],.]
[7,1,4,5,8,3,6,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,4,6,3,1,2,8,5]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,6,3,5,7,1,2,8]=>[7,6,4,3,5,2,1,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[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]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,7,2,5,6,8,1,3]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[8,1,3,5,4,6,2,7]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[1,5,7,2,6,4,8,3]=>[1,8,6,4,5,3,7,2]=>[8,1,3,5,4,6,2,7]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[1,2,7,8,3,5,4,6]=>[1,2,8,7,5,6,4,3]=>[8,7,1,2,4,3,5,6]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[1,7,6,2,8,5,4,3]=>[1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,2,7,8,3,4,6,5]=>[1,2,8,7,5,6,4,3]=>[8,7,1,2,4,3,5,6]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[1,7,6,8,3,4,2,5]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,4,1,7,8,6,5,2]=>[8,3,2,7,6,5,4,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,2,1,5,6,4,7,3]=>[8,3,2,7,6,5,4,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[7,5,6,1,3,4,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,7,2,4,6,1,8,3]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[2,1,5,6,3,8,7,4]=>[2,1,8,5,4,7,6,3]=>[7,8,1,4,5,2,3,6]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[3,2,7,5,8,6,4,1]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,4,5,3,8,1,7,6]=>[6,4,3,2,8,1,7,5]=>[3,5,6,7,1,8,2,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[7,2,5,4,3,8,6,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,5,3,1,2,6,7,4]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,2,5,1,3,6,8,4]=>[8,4,6,2,5,3,7,1]=>[1,5,3,7,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,4,8,3,6,5,7,1]=>[8,4,7,2,6,5,3,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[3,1,8,2,6,5,7,4]=>[4,2,8,1,7,6,5,3]=>[5,7,1,8,2,3,4,6]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[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]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,7,3,4,8,5,2,6]=>[1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,7,3,8,5,4,2,6]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[1,7,3,4,8,2,5,6]=>[1,8,6,4,7,3,5,2]=>[8,1,3,5,2,6,4,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[1,3,8,4,2,5,7,6]=>[1,5,8,4,2,6,7,3]=>[8,4,1,5,7,3,2,6]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]
[1,4,7,6,2,3,8,5]=>[1,6,8,5,4,2,7,3]=>[8,3,1,4,5,7,2,6]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]
[1,8,4,6,7,2,3,5]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,4,2,3,7,8,6,5]=>[1,4,3,2,8,7,6,5]=>[8,5,6,7,1,2,3,4]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]
[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]=>[8,4,6,3,7,5,1,2]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]
[1,3,6,5,8,2,4,7]=>[1,6,7,4,8,2,3,5]=>[8,3,2,5,1,7,6,4]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]
[1,4,6,3,2,8,5,7]=>[1,5,7,4,2,8,3,6]=>[8,4,2,5,7,1,6,3]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[2,4,3,1,7,6,8,5]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]
[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]=>[3,1,6,4,5,8,2,7]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[2,6,3,7,4,1,8,5]=>[6,8,3,5,4,1,7,2]=>[3,1,6,4,5,8,2,7]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[2,1,4,8,5,3,7,6]=>[2,1,6,8,5,3,7,4]=>[7,8,3,1,4,6,2,5]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]
[2,7,3,8,4,1,6,5]=>[6,8,3,7,5,1,4,2]=>[3,1,6,2,4,8,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[2,6,3,1,5,4,8,7]=>[4,6,3,1,5,2,8,7]=>[5,3,6,8,4,7,1,2]=>[[[.,.],[[.,[.,.]],[.,.]]],[.,.]]
[5,3,8,1,4,6,2,7]=>[7,5,8,4,2,6,1,3]=>[2,4,1,5,7,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[4,5,8,1,3,6,2,7]=>[7,5,8,4,2,6,1,3]=>[2,4,1,5,7,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[7,4,6,5,2,8,3,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,1,3,8,5,7,6,2]=>[8,2,3,7,5,6,4,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[4,1,3,7,2,8,6,5]=>[5,2,3,8,1,7,6,4]=>[4,7,6,1,8,2,3,5]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]
[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]=>[6,1,8,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,4,5,1,2,6,8,3]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,2,7,8,5,6,1,4]=>[7,2,8,6,5,4,1,3]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[4,8,3,2,1,7,5,6]=>[5,8,4,3,1,7,6,2]=>[4,1,5,6,8,2,3,7]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[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]=>[9,1,2,3,4,5,6,7,8]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,9,8,7,5,4,3,2,6]=>[1,9,8,7,6,5,4,3,2]=>[9,1,2,3,4,5,6,7,8]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,9,8,6,5,4,3,2,7]=>[1,9,8,7,6,5,4,3,2]=>[9,1,2,3,4,5,6,7,8]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,9,7,6,5,4,3,2,8]=>[1,9,8,7,6,5,4,3,2]=>[9,1,2,3,4,5,6,7,8]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,9,8,7,6,5,2,3,4]=>[1,9,8,7,6,5,4,3,2]=>[9,1,2,3,4,5,6,7,8]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,10,9,8,7,6,5,3,2,4]=>[1,10,9,8,7,6,5,4,3,2]=>[10,1,2,3,4,5,6,7,8,9]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[1,9,8,7,6,3,4,2,5]=>[1,9,8,7,6,5,4,3,2]=>[9,1,2,3,4,5,6,7,8]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,10,9,8,7,6,4,3,2,5]=>[1,10,9,8,7,6,5,4,3,2]=>[10,1,2,3,4,5,6,7,8,9]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[1,9,8,7,4,5,3,2,6]=>[1,9,8,7,6,5,4,3,2]=>[9,1,2,3,4,5,6,7,8]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,10,9,8,7,5,4,3,2,6]=>[1,10,9,8,7,6,5,4,3,2]=>[10,1,2,3,4,5,6,7,8,9]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[1,9,8,5,6,4,3,2,7]=>[1,9,8,7,6,5,4,3,2]=>[9,1,2,3,4,5,6,7,8]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,10,9,8,6,5,4,3,2,7]=>[1,10,9,8,7,6,5,4,3,2]=>[10,1,2,3,4,5,6,7,8,9]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[1,8,4,5,6,3,2,7]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,9,6,7,5,4,3,2,8]=>[1,9,8,7,6,5,4,3,2]=>[9,1,2,3,4,5,6,7,8]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,10,9,7,6,5,4,3,2,8]=>[1,10,9,8,7,6,5,4,3,2]=>[10,1,2,3,4,5,6,7,8,9]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[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]=>[10,1,2,3,4,5,6,7,8,9]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[4,7,6,1,5,8,2,3]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,5,1,7,4,6,3,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,4,8,1,6,7,2,5]=>[7,4,8,2,6,5,1,3]=>[2,5,1,7,3,4,8,6]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[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]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[1,3,7,8,4,6,2,5]=>[1,7,8,6,5,4,2,3]=>[8,2,1,3,4,5,7,6]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[3,1,7,8,4,6,2,5]=>[7,2,8,6,5,4,1,3]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[4,3,8,1,6,7,2,5]=>[7,4,8,2,6,5,1,3]=>[2,5,1,7,3,4,8,6]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[4,8,7,3,6,1,2,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[4,1,8,3,7,5,2,6]=>[7,2,8,4,6,5,1,3]=>[2,7,1,5,3,4,8,6]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[2,4,8,3,6,7,1,5]=>[7,4,8,2,6,5,1,3]=>[2,5,1,7,3,4,8,6]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[1,6,5,8,7,3,2,4]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[4,1,3,2,8,6,5,7]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]
[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]=>[2,3,6,5,4,7,8,1]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[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]=>[3,4,6,5,7,8,2,1]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[3,8,2,4,5,1,7,6]=>[6,8,3,4,5,1,7,2]=>[3,1,6,5,4,8,2,7]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]
[3,7,2,1,5,6,4,8]=>[4,7,3,1,6,5,2,8]=>[5,2,6,8,3,4,7,1]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[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]=>[[[[.,.],.],[[.,.],[[.,.],.]]],.]
[1,7,2,5,6,4,3,8]=>[1,7,3,6,5,4,2,8]=>[8,2,6,3,4,5,7,1]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[1,6,8,5,4,3,7,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,5,7,8,4,3,1,6]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,6,1,8,7,5,3,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,3,7,6,8,5,2,4]=>[1,7,8,6,5,4,2,3]=>[8,2,1,3,4,5,7,6]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[4,1,7,8,6,5,2,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,4,3,7,6,1,2,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[4,7,6,1,2,3,8,5]=>[6,8,5,4,3,1,7,2]=>[3,1,4,5,6,8,2,7]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[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]=>[2,3,4,5,6,7,8,9,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[2,1,4,9,8,7,6,5,3]=>[2,1,9,8,7,6,5,4,3]=>[8,9,1,2,3,4,5,6,7]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,7,6,5,4,2,1,9,8]=>[7,6,5,4,3,2,1,9,8]=>[3,4,5,6,7,8,9,1,2]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]
[3,2,1,6,9,8,7,5,4]=>[3,2,1,9,8,7,6,5,4]=>[7,8,9,1,2,3,4,5,6]=>[[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]]
[4,6,5,3,2,1,9,8,7]=>[6,5,4,3,2,1,9,8,7]=>[4,5,6,7,8,9,1,2,3]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]]
[1,7,6,2,3,8,5,4]=>[1,8,7,4,5,6,3,2]=>[8,1,2,5,4,3,6,7]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[7,2,3,8,6,4,5,1]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,3,7,5,8,4,6,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,8,1,5,3,4,6,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,3,5,4,1,6,2,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[3,5,7,1,6,4,2,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[3,7,5,6,1,4,2,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,3,1,2,7,8,4,6]=>[7,4,3,2,8,6,1,5]=>[2,5,6,7,1,3,8,4]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]
[5,1,3,7,8,2,6,4]=>[8,2,6,7,5,3,4,1]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[1,6,7,4,5,3,2,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[1,4,2,6,7,5,3,8]=>[1,7,3,6,5,4,2,8]=>[8,2,6,3,4,5,7,1]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[1,8,2,4,6,5,3,7]=>[1,8,3,7,6,5,4,2]=>[8,1,6,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,4,8,7,2,3,6,5]=>[1,6,8,7,5,2,4,3]=>[8,3,1,2,4,7,5,6]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]
[4,1,3,6,5,8,2,7]=>[7,2,3,5,4,8,1,6]=>[2,7,6,4,5,1,8,3]=>[[.,[[[.,.],.],[.,.]]],[[.,.],.]]
[4,3,7,1,5,8,2,6]=>[7,4,8,2,5,6,1,3]=>[2,5,1,7,4,3,8,6]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[1,8,6,5,2,7,4,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,6,2,7,4,3,5]=>[1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[6,4,1,8,3,7,5,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,5,1,3,7,6,4,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[6,1,8,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,6,7,5,8,4,2,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,3,6,4,2,1,8,5]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,4,3,1,8,5,2,7]=>[7,6,4,3,8,2,1,5]=>[2,3,5,6,1,7,8,4]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[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]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[1,5,7,2,4,3,8,6]=>[1,6,8,4,5,2,7,3]=>[8,3,1,5,4,7,2,6]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]
[1,2,7,5,8,4,3,6]=>[1,2,8,7,6,5,4,3]=>[8,7,1,2,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[5,1,3,8,2,7,4,6]=>[7,2,5,8,3,6,1,4]=>[2,7,4,1,6,3,8,5]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[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]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[8,1,7,2,3,6,5,4]=>[8,2,7,4,5,6,3,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[7,1,2,6,4,3,8,5]=>[8,2,3,6,5,4,7,1]=>[1,7,6,3,4,5,2,8]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[1,4,7,8,3,2,5,6]=>[1,6,8,7,5,2,4,3]=>[8,3,1,2,4,7,5,6]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]
[8,1,6,3,2,4,7,5]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[1,8,2,7,6,3,5,4]=>[1,8,3,7,6,5,4,2]=>[8,1,6,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[8,1,6,3,2,7,4,5]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[8,2,1,7,6,3,4,5]=>[8,3,2,7,6,5,4,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[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]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,3,5,2,8,1,4,7]=>[7,6,4,3,8,2,1,5]=>[2,3,5,6,1,7,8,4]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[6,4,5,3,1,7,2,8]=>[7,5,4,3,2,6,1,8]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,7,6,2,3,1,5,8]=>[6,7,5,4,3,1,2,8]=>[3,2,4,5,6,8,7,1]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[4,7,6,1,3,2,8,5]=>[6,8,5,4,3,1,7,2]=>[3,1,4,5,6,8,2,7]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[7,2,6,5,4,3,1,9,8]=>[7,6,5,4,3,2,1,9,8]=>[3,4,5,6,7,8,9,1,2]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]
[3,2,1,9,5,8,7,6,4]=>[3,2,1,9,8,7,6,5,4]=>[7,8,9,1,2,3,4,5,6]=>[[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]]
[6,3,5,4,2,1,9,8,7]=>[6,5,4,3,2,1,9,8,7]=>[4,5,6,7,8,9,1,2,3]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]]
[4,3,2,1,9,7,8,6,5]=>[4,3,2,1,9,8,7,6,5]=>[6,7,8,9,1,2,3,4,5]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]]
[2,8,1,3,5,6,4,7]=>[3,8,1,4,7,6,5,2]=>[6,1,8,5,2,3,4,7]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[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]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,6,3,8,1,5,2,4]=>[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[4,7,6,3,8,5,1,2]=>[[[.,[[.,.],.]],[[.,.],.]],[.,.]]
[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]=>[5,1,2,8,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,5,2,6,8,7,4,3]=>[1,8,3,7,6,5,4,2]=>[8,1,6,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,8,3,7,5,2,6,4]=>[1,8,6,7,5,3,4,2]=>[8,1,3,2,4,6,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[8,1,3,6,5,2,7,4]=>[8,2,6,7,5,3,4,1]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[7,1,3,8,5,2,6,4]=>[8,2,6,7,5,3,4,1]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[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]=>[4,7,1,5,8,2,3,6]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[8,3,4,1,6,7,2,5]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[1,5,7,6,3,8,2,4]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,5,8,6,7,4,2,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,7,1,3,5,2,6,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[5,1,4,7,6,8,3,2]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[5,6,4,7,1,8,3,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,3,7,4,6,1,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,1,5,7,8,6,3,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,6,7,1,5,4,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,6,4,7,5,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,2,1,3,4,5,6,9,7]=>[9,3,2,4,5,6,7,8,1]=>[1,7,8,6,5,4,3,2,9]=>[.,[[[[[[.,[.,.]],.],.],.],.],[.,.]]]
[8,1,7,3,2,4,5,6]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[6,4,7,1,5,2,8,3]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,8,1,3,5,2,7,6]=>[6,8,3,4,5,1,7,2]=>[3,1,6,5,4,8,2,7]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]
[1,6,5,2,8,7,4,3]=>[1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[4,1,7,2,5,8,3,6]=>[7,2,8,4,5,6,1,3]=>[2,7,1,5,4,3,8,6]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[3,2,5,8,6,1,7,4]=>[6,2,8,7,5,1,4,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,4,7,2,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,1,4,3,6,8,2,5]=>[8,2,7,4,5,6,3,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[6,3,1,5,4,8,7,2]=>[8,5,3,4,2,7,6,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[7,1,3,8,5,4,2,6]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,5,1,6,4,3,2,7]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[8,1,6,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[6,7,1,4,8,5,3,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,1,7,3,2,8,5,6]=>[5,2,8,4,1,7,6,3]=>[4,7,1,5,8,2,3,6]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[8,3,5,2,4,7,1,6]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[8,7,1,5,2,3,4,6]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[6,1,3,7,8,5,4,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,6,8,5,4,2,1,7]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[2,6,4,7,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,6,3,7,2,8,4,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,6,1,8,7,2,3,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,2,8,1,5,6,4,7]=>[4,2,8,1,7,6,5,3]=>[5,7,1,8,2,3,4,6]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[5,8,7,3,2,1,4,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[2,8,1,3,7,5,6,4]=>[3,8,1,4,7,6,5,2]=>[6,1,8,5,2,3,4,7]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[1,8,7,2,5,6,4,3]=>[1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[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]=>[2,5,1,7,4,3,8,6]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[4,2,7,1,5,8,3,6]=>[7,4,8,2,5,6,1,3]=>[2,5,1,7,4,3,8,6]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[2,4,6,3,5,1,7,8]=>[6,4,5,2,3,1,7,8]=>[3,5,4,7,6,8,2,1]=>[[[.,[[.,.],[[.,.],[.,.]]]],.],.]
[4,1,6,2,5,8,3,7]=>[7,2,5,4,3,8,1,6]=>[2,7,4,5,6,1,8,3]=>[[.,[[.,.],[.,[.,.]]]],[[.,.],.]]
[1,8,2,5,7,3,4,6]=>[1,8,3,7,6,5,4,2]=>[8,1,6,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,4,6,3,8,5,2,7]=>[1,7,6,4,8,3,2,5]=>[8,2,3,5,1,6,7,4]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]
[4,5,6,3,1,7,2,8]=>[7,5,4,3,2,6,1,8]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[3,4,6,2,5,1,7,8]=>[6,4,5,2,3,1,7,8]=>[3,5,4,7,6,8,2,1]=>[[[.,[[.,.],[[.,.],[.,.]]]],.],.]
[1,4,6,5,8,2,3,7]=>[1,7,6,4,8,3,2,5]=>[8,2,3,5,1,6,7,4]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]
[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]=>[4,7,1,2,8,3,5,6]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[1,5,3,6,8,4,7,2]=>[1,8,6,4,7,3,5,2]=>[8,1,3,5,2,6,4,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[6,5,1,3,8,4,7,2]=>[8,6,3,4,7,2,5,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[1,7,4,8,5,3,2,6]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,1,6,8,4,5,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,5,1,4,6,7,3,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,4,7,5,6,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[7,2,4,3,1,5,6,8]=>[7,5,4,3,2,6,1,8]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[6,3,1,4,8,5,7,2]=>[8,6,3,4,7,2,5,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,5,7,2,8,4,6,3]=>[1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[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]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[1,8,7,5,2,6,3,4]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,7,4,5,6,2,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,7,3,6,4,2,5]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,4,7,5,8,2,6,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,4,7,2,3,6,5,8]=>[1,5,7,4,2,6,3,8]=>[8,4,2,5,7,3,6,1]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]
[1,7,2,5,6,3,4,8]=>[1,7,3,6,5,4,2,8]=>[8,2,6,3,4,5,7,1]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[1,2,6,5,8,3,4,7]=>[1,2,7,6,8,4,3,5]=>[8,7,2,3,1,5,6,4]=>[[[[.,.],.],[.,.]],[[.,[.,.]],.]]
[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]=>[2,7,4,3,6,5,8,1]=>[[.,[[[.,.],.],[[.,.],[.,.]]]],.]
[5,7,2,1,3,6,4,8]=>[7,6,4,3,5,2,1,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[3,5,6,7,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,4,7,5,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,5,6,4,8,3,2,7]=>[1,7,6,4,8,3,2,5]=>[8,2,3,5,1,6,7,4]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]
[2,1,5,6,4,8,3,7]=>[2,1,7,5,4,8,3,6]=>[7,8,2,4,5,1,6,3]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]
[5,1,4,7,8,6,2,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,6,7,2,8,5,4,3]=>[1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[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]=>[1,5,2,7,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[8,2,4,5,3,1,7,6]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[1,4,3,2,7,5,8,6]=>[1,4,3,2,8,6,7,5]=>[8,5,6,7,1,3,2,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[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]=>[2,4,1,5,7,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[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]=>[4,5,6,7,8,9,3,2,1]=>[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.]
[5,6,4,3,2,1,7,8,9,10]=>[6,5,4,3,2,1,7,8,9,10]=>[5,6,7,8,9,10,4,3,2,1]=>[[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.],.]
[4,5,3,2,1,6,7,8,9]=>[5,4,3,2,1,6,7,8,9]=>[5,6,7,8,9,4,3,2,1]=>[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.]
[6,7,5,4,3,2,1,8,9,10]=>[7,6,5,4,3,2,1,8,9,10]=>[4,5,6,7,8,9,10,3,2,1]=>[[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.],.]
[6,7,4,3,2,1,5,8,9]=>[7,6,5,4,3,2,1,8,9]=>[3,4,5,6,7,8,9,2,1]=>[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.]
[7,5,4,3,1,2,6,8,9]=>[7,6,5,4,3,2,1,8,9]=>[3,4,5,6,7,8,9,2,1]=>[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.]
[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]=>[3,4,6,5,7,8,2,1]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[4,1,7,8,3,2,5,6]=>[6,2,8,7,5,1,4,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[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]=>[2,1,5,6,4,3,8,7]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]
[7,6,4,3,5,2,1,9,8]=>[7,6,5,4,3,2,1,9,8]=>[3,4,5,6,7,8,9,1,2]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]
[7,6,3,5,4,2,1,9,8]=>[7,6,5,4,3,2,1,9,8]=>[3,4,5,6,7,8,9,1,2]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]
[8,5,1,7,3,4,6,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,7,6,3,4,1,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[8,1,4,2,6,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[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]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[1,8,3,5,7,4,2,6]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[2,7,6,3,4,5,8,1]=>[[.,[[[.,.],.],[.,[.,[.,.]]]]],.]
[7,1,2,6,5,3,4,8]=>[7,2,3,6,5,4,1,8]=>[2,7,6,3,4,5,8,1]=>[[.,[[[.,.],.],[.,[.,[.,.]]]]],.]
[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]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[2,7,5,6,4,8,1,3]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[2,8,3,6,5,7,1,4]=>[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[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]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[3,1,2,4,8,7,5,6]=>[3,2,1,4,8,7,6,5]=>[6,7,8,5,1,2,3,4]=>[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]
[5,4,1,2,3,7,8,6]=>[5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[1,6,7,2,5,8,3,4]=>[1,8,7,4,5,6,3,2]=>[8,1,2,5,4,3,6,7]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[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]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[2,7,4,6,3,8,1,5]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[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]=>[3,1,4,2,6,8,5,7]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[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]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[4,2,8,1,3,7,5,6]=>[5,4,8,2,1,7,6,3]=>[4,5,1,7,8,2,3,6]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[7,5,1,8,2,3,4,6]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,2,4,1,3,7,5,6]=>[8,4,5,2,3,7,6,1]=>[1,5,4,7,6,2,3,8]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[8,1,6,2,3,7,4,5]=>[8,2,7,4,5,6,3,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[7,1,8,2,3,6,4,5]=>[8,2,7,4,5,6,3,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[4,2,6,7,5,1,8,3]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,7,2,5,3,8,1,6]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[3,5,7,4,2,8,1,6]=>[7,5,8,4,2,6,1,3]=>[2,4,1,5,7,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[2,4,7,6,3,8,1,5]=>[7,5,8,4,2,6,1,3]=>[2,4,1,5,7,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[4,6,8,5,1,2,3,7]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[4,6,5,7,1,2,3,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,6,5,7,1,3,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,4,7,6,1,8,2,5]=>[7,5,8,4,2,6,1,3]=>[2,4,1,5,7,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,9,2,3,4,5,6,7,8,10]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,1,10,7,4,2,5,3,6,8]=>[10,2,9,8,7,6,5,4,3,1]=>[1,9,2,3,4,5,6,7,8,10]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[8,1,7,5,2,4,6,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,2,7,5,4,1,6,3]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,5,8,1,7,3,2,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,6,1,5,3,4,8,7]=>[3,6,1,5,4,2,8,7]=>[6,3,8,4,5,7,1,2]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]
[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]=>[4,1,2,5,8,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[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]=>[3,1,4,5,6,8,2,7]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[6,4,7,5,3,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[1,3,6,5,4,7,2,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[6,7,3,4,2,1,8,5]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[2,5,3,8,6,4,1,7]=>[7,6,3,8,5,2,1,4]=>[2,3,6,1,4,7,8,5]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[6,7,1,5,4,3,2,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[5,8,4,1,3,2,7,6]=>[6,8,5,4,3,1,7,2]=>[3,1,4,5,6,8,2,7]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[4,5,2,1,6,7,3,8]=>[7,4,3,2,5,6,1,8]=>[2,5,6,7,4,3,8,1]=>[[.,[[[.,[.,[.,.]]],.],[.,.]]],.]
[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]=>[6,3,8,4,5,7,1,2]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]
[3,6,2,8,5,7,1,4]=>[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[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]=>[2,7,6,5,3,4,8,1]=>[[.,[[[[.,.],.],.],[.,[.,.]]]],.]
[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]=>[7,8,6,1,4,2,3,5]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]
[1,6,4,3,8,7,5,2]=>[1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[3,4,7,2,5,8,6,1]=>[8,4,7,2,5,6,3,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[2,5,1,8,6,4,7,3]=>[3,8,1,7,6,5,4,2]=>[6,1,8,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[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]=>[6,2,8,1,4,3,7,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[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]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,6,3,1,4,5,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,7,4,6,2,1,8,5]=>[6,8,5,4,3,1,7,2]=>[3,1,4,5,6,8,2,7]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[5,4,1,7,8,6,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,3,7,6,5,1,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[1,2,8,3,4,6,5,7]=>[1,2,8,4,5,7,6,3]=>[8,7,1,5,4,2,3,6]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]
[8,1,2,7,3,5,4,6]=>[8,2,3,7,5,6,4,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[5,7,1,2,6,3,4,8]=>[7,6,3,4,5,2,1,8]=>[2,3,6,5,4,7,8,1]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[1,2,7,5,6,3,4,8]=>[1,2,7,6,5,4,3,8]=>[8,7,2,3,4,5,6,1]=>[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]
[4,8,1,2,3,6,5,7]=>[5,8,3,4,1,7,6,2]=>[4,1,6,5,8,2,3,7]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[1,3,4,2,5,6,7,8,9]=>[1,4,3,2,5,6,7,8,9]=>[9,6,7,8,5,4,3,2,1]=>[[[[[[[.,.],[.,[.,.]]],.],.],.],.],.]
[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]=>[[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,3,5,7,8,6,4,2,9,10]=>[1,8,7,6,5,4,3,2,9,10]=>[10,3,4,5,6,7,8,9,2,1]=>[[[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.],.]
[8,2,3,6,4,7,5,1]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,5,1,3,2,6,8,7]=>[5,4,3,2,1,6,8,7]=>[4,5,6,7,8,3,1,2]=>[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]]
[6,4,7,5,1,3,2,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,7,2,4,1,8,3,5]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,7,2,5,4,1,3,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[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]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[1,4,8,3,6,2,7,5]=>[1,6,8,4,7,2,5,3]=>[8,3,1,5,2,7,4,6]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[3,6,2,5,7,4,8,1]=>[8,6,3,4,5,2,7,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[2,7,1,5,8,6,4,3]=>[3,8,1,7,6,5,4,2]=>[6,1,8,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[7,2,4,1,6,8,5,3]=>[8,4,7,2,5,6,3,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[6,4,7,2,3,8,5,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,1,8,5,7,4,2,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,1,6,8,7,2,4,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,6,7,5,3,1,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,6,5,7,2,1,8,3]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[2,3,5,7,10,8,9,6,4,1]=>[10,2,9,8,7,6,5,4,3,1]=>[1,9,2,3,4,5,6,7,8,10]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[2,4,6,9,7,8,5,3,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[3,6,4,9,7,8,5,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[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]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[2,3,4,7,8,6,1,5]=>[7,2,3,8,6,5,1,4]=>[2,7,6,1,3,4,8,5]=>[[.,[[.,.],.]],[.,[.,[[.,.],.]]]]
[6,3,7,1,4,2,8,5]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,6,3,5,1,8,2,7]=>[7,5,4,3,2,8,1,6]=>[2,4,5,6,7,1,8,3]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[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]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,1,7,6,2,8,3,5]=>[7,2,8,5,4,6,1,3]=>[2,7,1,4,5,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[4,1,8,2,7,5,3,6]=>[7,2,8,4,6,5,1,3]=>[2,7,1,5,3,4,8,6]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[4,1,7,2,8,5,3,6]=>[7,2,8,4,6,5,1,3]=>[2,7,1,5,3,4,8,6]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[2,5,6,3,7,4,8,1]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[2,6,5,3,8,4,7,1]=>[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[2,6,5,3,7,4,8,1]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[7,1,6,3,5,4,8,2]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[2,8,6,1,7,5,3,4]=>[4,8,7,1,6,5,3,2]=>[5,1,2,8,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[8,1,5,2,7,4,3,6]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,1,4,2,8,5,3,6]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[2,6,8,1,7,5,3,4]=>[4,8,7,1,6,5,3,2]=>[5,1,2,8,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[2,4,5,8,7,1,3,6]=>[6,7,3,8,5,1,2,4]=>[3,2,6,1,4,8,7,5]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]
[3,1,6,8,7,5,4,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,1,8,7,5,6,4,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,1,8,7,6,3,4,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,8,5,7,6,1,3,4]=>[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[1,8,7,2,6,4,5,3]=>[1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,7,1,6,4,3,5,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,4,1,7,3,6,5,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,7,3,6,8,2,5,4]=>[1,8,6,7,5,3,4,2]=>[8,1,3,2,4,6,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[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]=>[2,4,1,5,7,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[3,6,4,7,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,7,4,1,2,6,8,3]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[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]=>[3,1,5,6,2,8,4,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[7,5,4,3,6,1,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,6,8,5,3,1,2,7]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,2,4,1,5,3,8,6]=>[8,4,6,2,5,3,7,1]=>[1,5,3,7,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[8,5,3,4,1,7,2,6]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,8,5,4,3,6,1,7]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,6,7,2,3,8,4,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[3,2,1,7,4,6,8,5]=>[3,2,1,8,5,6,7,4]=>[6,7,8,1,4,3,2,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[4,8,5,3,1,2,6,7]=>[6,8,5,4,3,1,7,2]=>[3,1,4,5,6,8,2,7]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[8,5,2,4,6,1,3,7]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,7,3,1,2,4,8,5]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,1,8,7,6,2,5,4]=>[6,2,8,7,5,1,4,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[1,3,8,6,7,2,5,4]=>[1,6,8,7,5,2,4,3]=>[8,3,1,2,4,7,5,6]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]
[3,2,6,4,7,1,5,8]=>[6,2,7,4,5,1,3,8]=>[3,7,2,5,4,8,6,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[2,7,1,8,6,5,3,4]=>[3,8,1,7,6,5,4,2]=>[6,1,8,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[8,1,5,2,6,4,7,3]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[4,6,7,5,1,2,3,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,3,4,7,6,2,1,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[4,1,8,5,7,2,6,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,1,8,2,7,5,6,3]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,7,2,6,4,5,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,6,4,8,3,5,1,7]=>[7,6,5,8,3,2,1,4]=>[2,3,4,1,6,7,8,5]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[1,4,8,5,3,2,7,6]=>[1,6,8,5,4,2,7,3]=>[8,3,1,4,5,7,2,6]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]
[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]=>[8,7,2,1,4,3,6,5]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]
[7,3,4,1,8,2,5,6]=>[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[5,6,3,1,8,2,4,7]=>[7,6,4,3,8,2,1,5]=>[2,3,5,6,1,7,8,4]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[7,3,6,5,1,8,4,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,6,3,5,2,1,8,4]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,1,4,6,8,5,3,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,2,5,1,6,4,8,3]=>[8,4,6,2,5,3,7,1]=>[1,5,3,7,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[2,7,1,5,6,4,8,3]=>[3,8,1,6,5,4,7,2]=>[6,1,8,3,4,5,2,7]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[1,5,7,8,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,4,8,5,7,6,3,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,8,1,5,6,4,7,3]=>[3,8,1,7,6,5,4,2]=>[6,1,8,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[3,7,2,8,1,5,6,4]=>[5,8,3,7,1,6,4,2]=>[4,1,6,2,8,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[7,3,2,5,1,6,8,4]=>[8,5,3,6,2,4,7,1]=>[1,4,6,3,7,5,2,8]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[7,3,2,8,1,4,6,5]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,5,2,8,7,1,6,4]=>[6,8,3,7,5,1,4,2]=>[3,1,6,2,4,8,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[3,7,6,5,4,1,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,6,5,3,1,8,7,2]=>[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[4,5,2,6,7,3,8,1]=>[8,6,3,4,5,2,7,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[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]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[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]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,1,5,4,2,7,3,8]=>[7,2,5,4,3,6,1,8]=>[2,7,4,5,6,3,8,1]=>[[.,[[[.,.],[.,[.,.]]],[.,.]]],.]
[6,4,2,3,1,7,5,8]=>[7,5,4,3,2,6,1,8]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[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]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[7,4,3,5,1,6,2,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,5,3,6,2,1,4,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,4,3,7,1,8,2,5]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,1,2,7,6,4,5,8]=>[3,2,1,7,6,5,4,8]=>[6,7,8,2,3,4,5,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[5,1,2,7,6,3,4,8]=>[7,2,3,6,5,4,1,8]=>[2,7,6,3,4,5,8,1]=>[[.,[[[.,.],.],[.,[.,[.,.]]]]],.]
[5,6,1,7,2,4,3,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[3,5,6,8,1,2,7,4]=>[6,8,5,7,3,1,4,2]=>[3,1,4,2,6,8,5,7]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[2,3,7,1,5,6,4,8]=>[4,2,7,1,6,5,3,8]=>[5,7,2,8,3,4,6,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[2,6,5,3,4,1,7,8]=>[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[2,6,1,3,5,4,7,8]=>[3,6,1,4,5,2,7,8]=>[6,3,8,5,4,7,2,1]=>[[[[.,.],[[[.,.],.],[.,.]]],.],.]
[4,6,1,5,2,8,7,3]=>[8,5,3,4,2,7,6,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[2,8,6,5,1,3,7,4]=>[5,8,7,6,1,4,3,2]=>[4,1,2,3,8,5,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[5,1,8,6,2,7,4,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,6,4,1,7,2,8,3]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,3,6,2,5,8,1,7]=>[7,4,5,2,3,8,1,6]=>[2,5,4,7,6,1,8,3]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]
[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]=>[8,1,3,5,4,6,2,7]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[1,7,5,6,4,8,3,2]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[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]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,7,2,6,4,1,8,3]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,5,6,1,3,8,2,7]=>[7,5,4,3,2,8,1,6]=>[2,4,5,6,7,1,8,3]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[6,3,5,7,4,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[1,3,8,6,5,2,7,4]=>[1,6,8,7,5,2,4,3]=>[8,3,1,2,4,7,5,6]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]
[2,7,3,8,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,2,8,5,7,4,6,3]=>[1,2,8,7,6,5,4,3]=>[8,7,1,2,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,6,8,5,4,7,2,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,1,8,3,2,6,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,1,3,8,6,4,7,5]=>[2,1,3,8,7,6,5,4]=>[7,8,6,1,2,3,4,5]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]
[8,2,5,4,3,7,1,6]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[6,1,8,7,4,5,3,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,5,8,6,4,3,7,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[6,1,8,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,7,6,2,1,4,8,5]=>[5,8,6,4,1,3,7,2]=>[4,1,3,5,8,6,2,7]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]
[6,8,7,5,1,3,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[7,8,2,3,4,5,1,6,9]=>[8,7,6,4,5,3,2,1,9]=>[2,3,4,6,5,7,8,9,1]=>[[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]],.]
[1,8,9,3,4,5,6,2,7]=>[1,9,8,7,5,6,4,3,2]=>[9,1,2,3,5,4,6,7,8]=>[[.,.],[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,7,4,6,1,5,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,4,6,5,2,8,1,7]=>[7,5,4,3,2,8,1,6]=>[2,4,5,6,7,1,8,3]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[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]=>[3,1,4,5,6,8,2,7]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[1,2,5,3,7,8,6,4]=>[1,2,8,4,7,6,5,3]=>[8,7,1,5,2,3,4,6]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[4,8,3,5,1,2,7,6]=>[6,8,5,4,3,1,7,2]=>[3,1,4,5,6,8,2,7]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[6,1,3,7,2,8,4,5]=>[8,2,5,7,3,6,4,1]=>[1,7,4,2,6,3,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[3,8,5,4,1,7,2,6]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[3,1,5,8,2,6,7,4]=>[5,2,8,7,1,6,4,3]=>[4,7,1,2,8,3,5,6]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[2,8,5,3,1,7,4,6]=>[5,8,7,4,1,6,3,2]=>[4,1,2,5,8,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[6,5,2,3,7,1,8,4]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[2,1,3,7,5,8,4,6]=>[2,1,3,8,7,6,5,4]=>[7,8,6,1,2,3,4,5]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]
[6,2,4,5,7,1,8,3]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[2,3,8,7,1,4,6,5]=>[5,2,8,7,1,6,4,3]=>[4,7,1,2,8,3,5,6]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[4,2,7,5,6,8,1,3]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[6,4,2,1,3,7,5,8]=>[7,5,4,3,2,6,1,8]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,4,7,1,6,2,8,3]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[3,5,2,7,4,9,6,10,8,1]=>[[[.,[.,.]],[[.,.],[[.,.],[[.,.],.]]]],.]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[8,1,2,5,4,3,6,7]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[1,8,3,7,6,2,5,4]=>[1,8,6,7,5,3,4,2]=>[8,1,3,2,4,6,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[1,3,8,2,5,6,4,7]=>[1,4,8,2,7,6,5,3]=>[8,5,1,7,2,3,4,6]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[1,3,2,7,4,6,8,5]=>[1,3,2,8,5,6,7,4]=>[8,6,7,1,4,3,2,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[1,3,8,4,6,2,7,5]=>[1,6,8,4,7,2,5,3]=>[8,3,1,5,2,7,4,6]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[8,2,3,6,7,4,5,1]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,6,4,2,1,7,3,8]=>[7,5,4,3,2,6,1,8]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[2,5,7,6,3,8,4,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,4,7,1,2,5,3,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,2,7,5,8,6,3,4]=>[1,2,8,7,6,5,4,3]=>[8,7,1,2,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[2,1,9,8,7,6,5,3,4]=>[2,1,9,8,7,6,5,4,3]=>[8,9,1,2,3,4,5,6,7]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,1,9,8,7,6,4,3,5]=>[2,1,9,8,7,6,5,4,3]=>[8,9,1,2,3,4,5,6,7]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,1,9,8,7,6,3,5,4]=>[2,1,9,8,7,6,5,4,3]=>[8,9,1,2,3,4,5,6,7]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,1,10,9,8,7,6,5,3,4]=>[2,1,10,9,8,7,6,5,4,3]=>[9,10,1,2,3,4,5,6,7,8]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,4,5,1,6,8,2,3]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[1,7,8,4,2,6,3,5]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,3,2,5,7,4,1,8]=>[7,6,3,4,5,2,1,8]=>[2,3,6,5,4,7,8,1]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[6,2,1,5,3,7,8,4]=>[8,3,2,5,4,6,7,1]=>[1,6,7,4,5,3,2,8]=>[.,[[[[.,[.,.]],[.,.]],.],[.,.]]]
[6,2,5,1,3,8,7,4]=>[8,4,5,2,3,7,6,1]=>[1,5,4,7,6,2,3,8]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[6,2,8,5,1,3,7,4]=>[8,5,7,6,2,4,3,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[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]=>[1,9,2,3,4,5,6,7,8,10]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[4,1,7,8,3,6,5,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,4,2,1,7,3,5,8]=>[7,6,4,3,5,2,1,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[5,8,4,2,1,3,6,7]=>[6,8,5,4,3,1,7,2]=>[3,1,4,5,6,8,2,7]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[1,7,5,8,4,3,6,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,8,1,6,4,7,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,4,7,5,1,8,6,3]=>[5,8,7,4,1,6,3,2]=>[4,1,2,5,8,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[2,3,7,1,8,5,6,4]=>[4,2,8,1,7,6,5,3]=>[5,7,1,8,2,3,4,6]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[6,5,1,2,7,4,8,3]=>[8,6,3,4,5,2,7,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[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]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[3,1,5,7,4,8,6,2]=>[8,2,5,7,3,6,4,1]=>[1,7,4,2,6,3,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[4,1,7,6,8,2,5,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,2,6,5,8,3,7,4]=>[1,2,8,6,7,4,5,3]=>[8,7,1,3,2,5,4,6]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[7,3,5,6,1,4,2,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[8,1,4,2,6,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[5,3,1,8,6,7,4,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,7,1,6,5,8,4,3]=>[3,8,1,7,5,6,4,2]=>[6,1,8,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[2,3,6,1,7,5,4,8]=>[4,2,7,1,6,5,3,8]=>[5,7,2,8,3,4,6,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[2,7,1,4,8,6,5,3]=>[3,8,1,7,6,5,4,2]=>[6,1,8,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[6,7,5,4,1,3,2,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,3,2,6,5,1,4,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[2,6,8,4,7,1,3,5]=>[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[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]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[2,8,5,6,4,1,7,3]=>[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[1,4,7,3,5,8,6,2]=>[1,8,7,4,5,6,3,2]=>[8,1,2,5,4,3,6,7]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[8,6,1,4,3,2,7,5]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[5,1,8,6,7,2,3,4]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,7,1,6,8,2,3,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[6,1,2,4,8,3,7,5]=>[8,2,3,6,7,4,5,1]=>[1,7,6,3,2,5,4,8]=>[.,[[[[.,.],.],.],[[.,.],[.,.]]]]
[2,5,6,8,1,4,7,3]=>[5,8,6,7,1,3,4,2]=>[4,1,3,2,8,6,5,7]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]
[7,4,1,6,5,2,3,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[4,1,6,5,2,3,8,7]=>[6,2,5,4,3,1,8,7]=>[3,7,4,5,6,8,1,2]=>[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]
[4,5,1,7,8,6,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[1,6,8,7,4,5,3,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,4,7,5,3,2,8,6]=>[1,6,8,5,4,2,7,3]=>[8,3,1,4,5,7,2,6]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]
[1,7,4,6,8,5,3,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[4,1,2,3,8,5,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[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]=>[2,4,1,5,7,3,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[8,1,3,6,4,5,2,7]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,3,1,6,2,5,8,7]=>[5,3,2,6,1,4,8,7]=>[4,6,7,3,8,5,1,2]=>[[[.,[.,[.,.]]],[[.,.],.]],[.,.]]
[7,5,2,1,8,4,3,6]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[5,3,1,4,7,8,2,6]=>[7,4,3,2,8,6,1,5]=>[2,5,6,7,1,3,8,4]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]
[7,1,2,4,8,3,5,6]=>[8,2,3,6,7,4,5,1]=>[1,7,6,3,2,5,4,8]=>[.,[[[[.,.],.],.],[[.,.],[.,.]]]]
[8,6,1,3,5,7,4,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,1,5,8,2,3,4,6]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,6,8,5,1,4,2,7]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[4,7,1,2,5,6,3,8]=>[7,6,3,4,5,2,1,8]=>[2,3,6,5,4,7,8,1]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[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]=>[1,3,6,5,4,7,2,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[7,4,1,2,5,6,3,8]=>[7,6,3,4,5,2,1,8]=>[2,3,6,5,4,7,8,1]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[5,4,1,3,6,8,7,2]=>[8,4,3,2,5,7,6,1]=>[1,5,6,7,4,2,3,8]=>[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]
[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]=>[5,6,7,8,4,2,3,1]=>[[[[.,[.,[.,[.,.]]]],.],[.,.]],.]
[1,2,3,4,5,8,9,7,6]=>[1,2,3,4,5,9,8,7,6]=>[9,8,7,6,5,1,2,3,4]=>[[[[[[.,.],.],.],.],.],[.,[.,[.,.]]]]
[1,2,3,4,8,9,6,7,5]=>[1,2,3,4,9,8,7,6,5]=>[9,8,7,6,1,2,3,4,5]=>[[[[[.,.],.],.],.],[.,[.,[.,[.,.]]]]]
[1,2,3,8,9,5,6,7,4]=>[1,2,3,9,8,7,6,5,4]=>[9,8,7,1,2,3,4,5,6]=>[[[[.,.],.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,2,4,7,8,5,6,3]=>[1,2,8,7,6,5,4,3]=>[8,7,1,2,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,2,8,9,4,5,6,7,3]=>[1,2,9,8,7,6,5,4,3]=>[9,8,1,2,3,4,5,6,7]=>[[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[3,4,6,1,7,8,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[2,1,6,5,8,7,3,4]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[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]=>[4,7,1,5,8,2,3,6]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[2,8,7,4,1,3,6,5]=>[5,8,7,6,1,4,3,2]=>[4,1,2,3,8,5,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,2,5,7,3,1,4,6]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[8,6,7,4,1,3,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,6,3,2,5,1,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[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]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[2,4,3,8,6,1,7,5]=>[6,3,2,8,7,1,5,4]=>[3,6,7,1,2,8,4,5]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,3,5,6,1,8,2,4]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,7,6,3,4,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,6,7,2,3,5,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[4,8,7,6,5,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[2,3,4,5,6,7,8,9,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[5,9,8,7,6,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[5,8,7,4,6,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[2,3,4,5,6,7,8,9,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[8,4,7,6,5,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[2,3,4,5,6,7,8,9,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[5,7,4,3,6,2,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[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]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[1,8,5,6,2,3,7,4]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,2,4,6,8,1,5,3]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[3,8,2,6,1,7,4,5]=>[5,8,3,7,1,6,4,2]=>[4,1,6,2,8,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[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]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,1,3,6,2,4,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[4,7,5,2,3,6,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,6,4,1,2,5,7,8]=>[5,6,4,3,1,2,7,8]=>[4,3,5,6,8,7,2,1]=>[[[[.,.],[.,[.,[[.,.],.]]]],.],.]
[4,7,1,3,2,5,8,6]=>[5,8,3,4,1,6,7,2]=>[4,1,6,5,8,3,2,7]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]
[4,7,1,3,2,6,8,5]=>[5,8,3,4,1,6,7,2]=>[4,1,6,5,8,3,2,7]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]
[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]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[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]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[4,7,1,3,2,8,5,6]=>[5,8,3,4,1,7,6,2]=>[4,1,6,5,8,2,3,7]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[3,6,5,1,8,2,4,7]=>[6,7,4,3,8,1,2,5]=>[3,2,5,6,1,8,7,4]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]
[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]=>[2,3,4,5,6,7,8,9,10,11,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],.]
[8,7,6,5,2,1,4,3,9]=>[8,7,6,5,4,3,2,1,9]=>[2,3,4,5,6,7,8,9,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[10,9,8,7,6,5,3,2,1,4,11]=>[10,9,8,7,6,5,4,3,2,1,11]=>[2,3,4,5,6,7,8,9,10,11,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],.]
[8,7,6,3,2,5,1,4,9]=>[8,7,6,5,4,3,2,1,9]=>[2,3,4,5,6,7,8,9,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[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]=>[1,3,4,5,6,7,8,2,9]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]]
[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]=>[2,3,4,5,6,7,8,9,10,11,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],.]
[8,5,4,7,3,2,1,6,9]=>[8,7,6,5,4,3,2,1,9]=>[2,3,4,5,6,7,8,9,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[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]=>[2,3,4,5,6,7,8,9,10,11,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],.]
[10,8,7,6,5,4,3,2,1,9,11]=>[10,9,8,7,6,5,4,3,2,1,11]=>[2,3,4,5,6,7,8,9,10,11,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],.]
[8,5,2,3,7,4,6,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,7,6,3,5,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[1,7,5,3,4,8,6,2]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[5,8,2,3,4,7,6,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,7,3,2,6,4,5,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,3,1,6,4,8,7,2]=>[8,5,3,4,2,7,6,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[3,4,8,5,7,2,6,1]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,3,8,7,1,6,2,5]=>[7,5,8,6,2,4,1,3]=>[2,4,1,3,7,5,8,6]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[1,5,3,8,4,7,2,6]=>[1,7,5,8,3,6,2,4]=>[8,2,4,1,6,3,7,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[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]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[8,4,2,3,1,6,7,5]=>[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[4,7,2,3,6,5,8,1]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[3,8,2,6,4,7,1,5]=>[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[1,7,5,8,6,2,4,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,5,4,1,7,2,3,8]=>[7,6,4,3,5,2,1,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[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]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[3,5,1,8,6,2,4,7]=>[6,7,3,8,5,1,2,4]=>[3,2,6,1,4,8,7,5]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]
[8,7,5,6,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[2,3,4,5,6,7,8,9,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[8,6,5,7,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[2,3,4,5,6,7,8,9,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[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]=>[2,3,4,5,6,7,8,9,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[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]=>[2,3,4,5,6,7,8,9,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[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]=>[3,4,5,6,7,8,9,2,1]=>[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.]
[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]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[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]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,1,6,7,4,5,3,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,1,6,4,7,5,3,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,7,5,6,2,3,4,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[5,7,1,8,6,3,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,7,6,3,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,1,3,7,6,5,2,8]=>[7,2,3,6,5,4,1,8]=>[2,7,6,3,4,5,8,1]=>[[.,[[[.,.],.],[.,[.,[.,.]]]]],.]
[8,7,6,5,4,2,3,1,9]=>[8,7,6,5,4,3,2,1,9]=>[2,3,4,5,6,7,8,9,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[1,10,9,8,6,5,7,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[10,1,2,3,4,5,6,7,8,9]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[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]=>[1,5,3,7,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[6,2,7,1,5,8,3,4]=>[8,4,7,2,5,6,3,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[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]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[2,7,1,5,3,6,8,4]=>[3,8,1,6,5,4,7,2]=>[6,1,8,3,4,5,2,7]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[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]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[5,7,3,6,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,7,3,6,4,1,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,7,5,6,4,1,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[3,4,5,6,7,8,9,2,1]=>[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.]
[4,6,7,8,3,1,5,2,9]=>[8,7,6,5,4,3,2,1,9]=>[2,3,4,5,6,7,8,9,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[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]=>[7,8,9,10,6,5,4,3,2,1]=>[[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.],.]
[3,4,5,2,1,6,7,8,9,10]=>[5,4,3,2,1,6,7,8,9,10]=>[6,7,8,9,10,5,4,3,2,1]=>[[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.],.]
[3,5,7,6,1,4,2,8,9,10]=>[7,6,5,4,3,2,1,8,9,10]=>[4,5,6,7,8,9,10,3,2,1]=>[[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.],.]
[4,6,7,8,3,1,5,2,9,10]=>[8,7,6,5,4,3,2,1,9,10]=>[3,4,5,6,7,8,9,10,2,1]=>[[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.],.]
[5,7,8,3,9,4,1,6,2,10]=>[9,8,7,6,5,4,3,2,1,10]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,4,5,8,2,3,1,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,3,6,8,2,4,1,7]=>[7,6,5,8,3,2,1,4]=>[2,3,4,1,6,7,8,5]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[1,7,8,6,3,2,4,5]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,1,2,5,3,8,4,6]=>[8,2,3,7,5,6,4,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[1,8,3,4,5,7,2,6]=>[1,8,7,4,5,6,3,2]=>[8,1,2,5,4,3,6,7]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[2,6,7,5,3,8,1,4]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[4,5,2,6,8,3,1,7]=>[7,6,3,4,8,2,1,5]=>[2,3,6,5,1,7,8,4]=>[[.,[.,[[.,.],.]]],[[.,[.,.]],.]]
[5,1,2,4,3,6,7,8,9]=>[5,2,3,4,1,6,7,8,9]=>[5,8,7,6,9,4,3,2,1]=>[[[[[.,[[[.,.],.],[.,.]]],.],.],.],.]
[7,1,2,3,4,6,5,8,9]=>[7,2,3,4,5,6,1,8,9]=>[3,8,7,6,5,4,9,2,1]=>[[[.,[[[[[.,.],.],.],.],[.,.]]],.],.]
[4,5,7,6,2,1,3,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[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]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[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]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[8,1,5,3,4,6,2,7]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[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]=>[8,1,6,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[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]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,4,1,3,2,6,5,7]=>[8,5,3,4,2,7,6,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,8,5,2,1,6,7,4]=>[5,8,7,4,1,6,3,2]=>[4,1,2,5,8,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[2,8,6,1,5,7,4,3]=>[4,8,7,1,6,5,3,2]=>[5,1,2,8,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[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]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,1,8,6,4,2,3,5]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,1,3,5,8,2,6,7]=>[6,2,3,4,8,1,7,5]=>[3,7,6,5,1,8,2,4]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]
[1,8,5,7,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,4,7,6,8,3,5,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,7,2,8,6,5,3,4]=>[1,8,3,7,6,5,4,2]=>[8,1,6,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[5,7,1,6,4,2,3,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[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]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[3,8,5,1,4,2,6,7]=>[6,8,5,4,3,1,7,2]=>[3,1,4,5,6,8,2,7]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[1,7,6,2,5,3,8,4]=>[1,8,6,4,5,3,7,2]=>[8,1,3,5,4,6,2,7]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[1,7,5,2,4,3,8,6]=>[1,8,6,4,5,3,7,2]=>[8,1,3,5,4,6,2,7]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[1,9,8,5,6,7,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[9,1,2,3,4,5,6,7,8]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,10,9,8,5,6,7,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[10,1,2,3,4,5,6,7,8,9]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[1,9,8,5,4,6,7,3,2]=>[1,9,8,7,6,5,4,3,2]=>[9,1,2,3,4,5,6,7,8]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,10,9,5,6,7,8,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[10,1,2,3,4,5,6,7,8,9]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[1,9,5,4,6,7,8,3,2]=>[1,9,8,7,5,6,4,3,2]=>[9,1,2,3,5,4,6,7,8]=>[[.,.],[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,1,2,5,7,6,8,4]=>[3,2,1,8,6,5,7,4]=>[6,7,8,1,3,4,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,1,2,4,7,3,5,6]=>[8,2,3,6,7,4,5,1]=>[1,7,6,3,2,5,4,8]=>[.,[[[[.,.],.],.],[[.,.],[.,.]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,1,7,5,6,8,2,3]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[1,6,8,7,2,5,4,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,4,8,7,6,3,5,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[4,7,1,2,8,3,5,6]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[4,8,5,2,1,3,7,6]=>[6,8,5,4,3,1,7,2]=>[3,1,4,5,6,8,2,7]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[5,8,4,2,1,3,7,6]=>[6,8,5,4,3,1,7,2]=>[3,1,4,5,6,8,2,7]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[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]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,2,5,3,1,8,7,4]=>[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[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]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[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]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[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]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,1,5,3,2,7,4,6]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[8,3,7,6,2,5,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,2,3,4,6,5,8,7,9]=>[1,2,3,4,6,5,8,7,9]=>[9,8,7,6,4,5,2,3,1]=>[[[[[[[.,.],.],.],.],[.,.]],[.,.]],.]
[1,2,3,4,8,9,5,6,7]=>[1,2,3,4,9,8,7,6,5]=>[9,8,7,6,1,2,3,4,5]=>[[[[[.,.],.],.],.],[.,[.,[.,[.,.]]]]]
[4,5,1,3,8,7,2,6]=>[7,4,3,2,8,6,1,5]=>[2,5,6,7,1,3,8,4]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]
[6,2,7,1,8,3,4,5]=>[8,4,7,2,6,5,3,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[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]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[2,4,7,6,1,8,3,5]=>[5,7,8,4,1,6,2,3]=>[4,2,1,5,8,3,7,6]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]
[2,1,7,8,9,3,4,5,6]=>[2,1,9,8,7,6,5,4,3]=>[8,9,1,2,3,4,5,6,7]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,6,7,8,9,10,1,3,4,5]=>[7,10,9,8,5,6,1,4,3,2]=>[4,1,2,3,6,5,10,7,8,9]=>[[.,.],[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]
[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]=>[8,1,6,5,2,3,4,7]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[3,4,2,6,8,5,7,1]=>[8,3,2,6,7,4,5,1]=>[1,6,7,3,2,5,4,8]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]
[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]=>[1,8,2,3,4,5,6,7,9]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,4,1,3,6,8,2,5]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[1,6,2,8,7,3,4,5]=>[1,8,3,7,6,5,4,2]=>[8,1,6,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,6,8,5,7,4,3,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,4,5,7,3,6,8,2]=>[1,8,5,6,3,4,7,2]=>[8,1,4,3,6,5,2,7]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]
[3,6,2,4,7,5,8,1]=>[8,6,3,4,5,2,7,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[3,1,8,4,6,2,5,7]=>[6,2,8,4,7,1,5,3]=>[3,7,1,5,2,8,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[4,2,7,3,5,8,1,6]=>[7,4,8,2,5,6,1,3]=>[2,5,1,7,4,3,8,6]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[3,1,8,4,5,6,2,7]=>[7,2,8,4,5,6,1,3]=>[2,7,1,5,4,3,8,6]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[4,2,7,8,6,3,1,5]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[7,1,4,2,8,6,3,5]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[2,3,7,4,8,1,6,5]=>[6,2,8,4,7,1,5,3]=>[3,7,1,5,2,8,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[1,6,3,5,8,7,4,2]=>[1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,4,5,7,1,6,8,3]=>[5,8,3,6,1,4,7,2]=>[4,1,6,3,8,5,2,7]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,1,4,8,2,3,7,5]=>[8,2,6,7,5,3,4,1]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[7,6,2,3,5,8,4,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[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]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,1,7,4,8,5,2,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,2,4,6,3,1,7,5]=>[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[1,8,2,3,4,5,6,7,9]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]
[9,1,7,8,5,6,4,3,2]=>[9,2,8,7,6,5,4,3,1]=>[1,8,2,3,4,5,6,7,9]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]
[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]=>[1,9,2,3,4,5,6,7,8,10]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[10,1,8,9,6,7,5,4,3,2]=>[10,2,9,8,7,6,5,4,3,1]=>[1,9,2,3,4,5,6,7,8,10]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[10,1,8,9,7,6,5,4,3,2]=>[10,2,9,8,7,6,5,4,3,1]=>[1,9,2,3,4,5,6,7,8,10]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[8,3,1,2,5,4,7,6]=>[8,4,3,2,6,5,7,1]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[8,1,5,3,7,4,2,6]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,2,6,7,8,3,5,4]=>[1,2,8,7,6,5,4,3]=>[8,7,1,2,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,2,4,8,6,7,3,5]=>[1,2,7,8,6,5,3,4]=>[8,7,2,1,3,4,6,5]=>[[[[.,.],.],.],[.,[.,[[.,.],.]]]]
[8,1,2,6,5,7,3,4]=>[8,2,3,7,6,5,4,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[7,1,2,6,5,8,3,4]=>[8,2,3,7,5,6,4,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[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]=>[6,1,8,3,4,5,2,7]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[5,2,7,3,1,6,8,4]=>[8,5,6,4,2,3,7,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[6,7,2,1,3,4,8,5]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[2,3,5,6,8,4,7,1]=>[8,2,6,4,7,3,5,1]=>[1,7,3,5,2,6,4,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[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]=>[2,3,4,5,6,7,8,9,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[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]=>[1,7,3,5,2,6,4,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[8,1,5,7,6,4,3,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,6,3,7,8,4,2,5]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,2,7,8,5,6,4,1]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,3,8,7,2,5,6,1]=>[8,5,7,6,2,4,3,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[1,7,3,8,6,4,5,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[1,6,3,8,7,4,5,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,4,5,8,7,6,2,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,4,3,5,8,2,6,7]=>[1,6,3,4,8,2,7,5]=>[8,3,6,5,1,7,2,4]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]
[2,1,3,8,6,4,5,7]=>[2,1,3,8,7,6,5,4]=>[7,8,6,1,2,3,4,5]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]
[6,1,4,3,5,8,2,7]=>[7,2,5,4,3,8,1,6]=>[2,7,4,5,6,1,8,3]=>[[.,[[.,.],[.,[.,.]]]],[[.,.],.]]
[6,5,1,3,8,2,4,7]=>[7,6,3,4,8,2,1,5]=>[2,3,6,5,1,7,8,4]=>[[.,[.,[[.,.],.]]],[[.,[.,.]],.]]
[1,4,3,8,6,2,5,7]=>[1,6,3,8,7,2,5,4]=>[8,3,6,1,2,7,4,5]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]
[4,1,3,8,6,2,5,7]=>[6,2,3,8,7,1,5,4]=>[3,7,6,1,2,8,4,5]=>[[.,[[.,.],.]],[.,[[.,.],[.,.]]]]
[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]=>[1,3,4,5,6,7,8,9,2,10]=>[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]]
[7,6,8,5,4,3,2,9,1]=>[9,7,6,5,4,3,2,8,1]=>[1,3,4,5,6,7,8,2,9]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]]
[6,8,7,5,4,3,2,9,1]=>[9,7,6,5,4,3,2,8,1]=>[1,3,4,5,6,7,8,2,9]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[1,7,5,4,3,8,2,6]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[4,6,7,1,3,8,2,5]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[2,6,3,1,4,7,8,5]=>[4,8,3,1,5,6,7,2]=>[5,1,6,8,4,3,2,7]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]
[2,7,3,4,1,8,5,6]=>[5,8,3,4,1,7,6,2]=>[4,1,6,5,8,2,3,7]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[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]=>[2,3,6,1,4,7,8,5]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[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]=>[4,7,1,2,8,3,5,6]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[7,1,3,8,2,4,6,5]=>[8,2,5,7,3,6,4,1]=>[1,7,4,2,6,3,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[6,5,2,4,1,8,3,7]=>[7,5,4,3,2,8,1,6]=>[2,4,5,6,7,1,8,3]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[5,7,2,4,1,3,8,6]=>[6,8,5,4,3,1,7,2]=>[3,1,4,5,6,8,2,7]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[6,2,5,4,1,8,3,7]=>[7,5,4,3,2,8,1,6]=>[2,4,5,6,7,1,8,3]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[4,2,6,3,5,8,1,7]=>[7,4,5,2,3,8,1,6]=>[2,5,4,7,6,1,8,3]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]
[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]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,4,1,8,5,2,3,7]=>[7,6,3,8,5,2,1,4]=>[2,3,6,1,4,7,8,5]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[8,4,1,6,3,5,2,7]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[2,3,4,1,6,7,8,5]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[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]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,8,5,4,2,6,3,7]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[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]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,4,5,7,6,8,2,3]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[6,2,5,7,4,1,8,3]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,6,1,8,7,4,5,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,8,4,5,6,1,3,9,2]=>[9,7,6,5,4,3,2,8,1]=>[1,3,4,5,6,7,8,2,9]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]]
[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]=>[1,3,4,5,6,7,8,9,2,10]=>[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]]
[6,8,4,5,1,3,7,9,2]=>[9,7,6,5,4,3,2,8,1]=>[1,3,4,5,6,7,8,2,9]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]]
[4,7,1,3,5,6,8,2]=>[8,6,3,4,5,2,7,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[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]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[5,3,7,4,6,2,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,7,3,2,1,8,6,4]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,7,6,3,2,1,8,4]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[1,7,3,5,4,2,6,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[7,3,5,4,1,6,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,5,1,6,8,3,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[2,7,3,5,4,6,8,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[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]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,6,5,2,4,8,1,7]=>[7,5,4,3,2,8,1,6]=>[2,4,5,6,7,1,8,3]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[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]=>[8,1,4,2,6,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,8,7,5,6,4,2,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,8,2,1,5,4,3,7]=>[7,8,4,3,6,5,1,2]=>[2,1,5,6,3,4,8,7]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]
[3,4,6,7,5,1,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,4,1,2,5,6,8,3]=>[8,6,3,4,5,2,7,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[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]=>[8,2,4,1,6,3,7,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[1,2,6,7,3,5,4,8]=>[1,2,7,6,5,4,3,8]=>[8,7,2,3,4,5,6,1]=>[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,1,2,4,6,3,5,7]=>[8,2,3,6,7,4,5,1]=>[1,7,6,3,2,5,4,8]=>[.,[[[[.,.],.],.],[[.,.],[.,.]]]]
[5,6,7,8,10,9,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[6,5,7,8,9,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[6,5,7,8,9,10,4,3,2,1]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[1,5,6,7,8,9,3,2,4]=>[1,9,8,7,5,6,4,3,2]=>[9,1,2,3,5,4,6,7,8]=>[[.,.],[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,7,8,4,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,2,6,7,8,9,4,3,5]=>[1,2,9,8,7,6,5,4,3]=>[9,8,1,2,3,4,5,6,7]=>[[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,3,8,6,7,4,5,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,1,7,6,4,2,3,5]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,8,6,3,7,4,5,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,3,4,2,8,6,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,8,3,4,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,6,4,2,3,8,5,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,5,6,8,2,4,7,1]=>[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[4,8,7,3,2,5,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,4,8,7,3,2,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,6,2,8,7,4,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,2,8,3,7,4,5,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,7,5,6,4,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,2,3,8,6,1,4,7]=>[7,6,3,8,5,2,1,4]=>[2,3,6,1,4,7,8,5]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[1,4,3,8,5,6,2,7]=>[1,7,3,8,5,6,2,4]=>[8,2,6,1,4,3,7,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[7,8,2,6,4,3,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,5,8,7,2,3,6,1]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[7,8,6,1,4,2,5,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,3,6,5,2,7,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,1,2,4,7,5,3,8]=>[7,2,3,6,5,4,1,8]=>[2,7,6,3,4,5,8,1]=>[[.,[[[.,.],.],[.,[.,[.,.]]]]],.]
[7,8,5,1,2,6,3,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,4,5,1,8,7,3,2]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[8,6,2,1,7,3,5,4]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[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]=>[2,5,4,7,6,3,8,1]=>[[.,[[[.,.],[[.,.],.]],[.,.]]],.]
[1,2,3,4,9,7,5,6,8]=>[1,2,3,4,9,8,7,6,5]=>[9,8,7,6,1,2,3,4,5]=>[[[[[.,.],.],.],.],[.,[.,[.,[.,.]]]]]
[8,2,6,5,1,7,4,3]=>[8,5,7,6,2,4,3,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[7,6,4,1,2,5,8,3]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[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]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,1,8,4,3,2,6,5]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,8,5,2,7,6,4,3]=>[1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,7,6,8,2,5,4,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,7,8,6,2,5,4,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,6,5,7,1,8,2,3]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[5,6,7,8,9,1,2,3,4]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,.]]]]
[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]=>[8,3,4,5,6,7,1,2]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]
[1,4,3,7,6,2,5,8]=>[1,6,3,7,5,2,4,8]=>[8,3,6,2,4,7,5,1]=>[[[[.,.],[.,.]],[.,[[.,.],.]]],.]
[1,3,7,4,6,8,5,2]=>[1,8,7,4,5,6,3,2]=>[8,1,2,5,4,3,6,7]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[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]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[2,4,1,7,5,6,8,3]=>[3,8,1,6,5,4,7,2]=>[6,1,8,3,4,5,2,7]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[7,2,4,8,3,5,1,6]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[5,6,1,4,3,8,7,2]=>[8,5,3,4,2,7,6,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[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]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
Map
Demazure product with inverse
Description
This map sends a permutation $\pi$ to $\pi^{-1} \star \pi$ where $\star$ denotes the Demazure product on permutations.
This map is a surjection onto the set of involutions, i.e., the set of permutations $\pi$ for which $\pi = \pi^{-1}$.
This map is a surjection onto the set of involutions, i.e., the set of permutations $\pi$ for which $\pi = \pi^{-1}$.
Map
complement
Description
Sents a permutation to its complement.
The complement of a permutation $\sigma$ of length $n$ is the permutation $\tau$ with $\tau(i) = n+1-\sigma(i)$
The complement of a permutation $\sigma$ of length $n$ is the permutation $\tau$ with $\tau(i) = n+1-\sigma(i)$
Map
to increasing tree
Description
Sends a permutation to its associated increasing tree.
This tree is recursively obtained by sending the unique permutation of length $0$ to the empty tree, and sending a permutation $\sigma$ of length $n \geq 1$ to a root node with two subtrees $L$ and $R$ by splitting $\sigma$ at the index $\sigma^{-1}(1)$, normalizing both sides again to permutations and sending the permutations on the left and on the right of $\sigma^{-1}(1)$ to the trees $L$ and $R$, respectively.
This tree is recursively obtained by sending the unique permutation of length $0$ to the empty tree, and sending a permutation $\sigma$ of length $n \geq 1$ to a root node with two subtrees $L$ and $R$ by splitting $\sigma$ at the index $\sigma^{-1}(1)$, normalizing both sides again to permutations and sending the permutations on the left and on the right of $\sigma^{-1}(1)$ to the trees $L$ and $R$, respectively.
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